TSTP Solution File: HWV051-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV051-1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 02:14:54 EDT 2022
% Result : Unsatisfiable 37.16s 23.60s
% Output : Proof 41.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HWV051-1 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 31 22:36:36 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 37.16/23.60 % SZS status Unsatisfiable
% 37.16/23.60 % SZS output start Proof
% 37.16/23.60 tff(v18_type, type, (
% 37.16/23.60 v18: $i > $o)).
% 37.16/23.60 tff(constB184_type, type, (
% 37.16/23.60 constB184: $i)).
% 37.16/23.60 tff(v19_type, type, (
% 37.16/23.60 v19: $i > $o)).
% 37.16/23.60 tff(v13_type, type, (
% 37.16/23.60 v13: $i > $o)).
% 37.16/23.60 tff(v9_type, type, (
% 37.16/23.60 v9: $i > $o)).
% 37.16/23.60 tff(constB183_type, type, (
% 37.16/23.60 constB183: $i)).
% 37.16/23.60 tff(v141_type, type, (
% 37.16/23.60 v141: $i > $o)).
% 37.16/23.60 tff(v140_type, type, (
% 37.16/23.60 v140: $i > $o)).
% 37.16/23.60 tff(v163_type, type, (
% 37.16/23.60 v163: $i > $o)).
% 37.16/23.60 tff(v160_type, type, (
% 37.16/23.60 v160: $i > $o)).
% 37.16/23.60 tff(v162_type, type, (
% 37.16/23.60 v162: $i > $o)).
% 37.16/23.60 tff(constB185_type, type, (
% 37.16/23.60 constB185: $i)).
% 37.16/23.60 tff(sK0_VarCurr_type, type, (
% 37.16/23.60 sK0_VarCurr: $i)).
% 37.16/23.60 tff(constB155_type, type, (
% 37.16/23.60 constB155: $i)).
% 37.16/23.60 tff(constB154_type, type, (
% 37.16/23.60 constB154: $i)).
% 37.16/23.60 tff(constB153_type, type, (
% 37.16/23.60 constB153: $i)).
% 37.16/23.60 tff(v164_type, type, (
% 37.16/23.60 v164: $i > $o)).
% 37.16/23.60 tff(v152_type, type, (
% 37.16/23.60 v152: $i > $o)).
% 37.16/23.60 tff(v150_type, type, (
% 37.16/23.60 v150: $i > $o)).
% 37.16/23.60 tff(constB152_type, type, (
% 37.16/23.60 constB152: $i)).
% 37.16/23.60 tff(v153_type, type, (
% 37.16/23.60 v153: $i > $o)).
% 37.16/23.60 tff(constB151_type, type, (
% 37.16/23.60 constB151: $i)).
% 37.16/23.60 tff(v154_type, type, (
% 37.16/23.60 v154: $i > $o)).
% 37.16/23.60 tff(v137_type, type, (
% 37.16/23.60 v137: $i > $o)).
% 37.16/23.60 tff(v135_type, type, (
% 37.16/23.60 v135: $i > $o)).
% 37.16/23.60 tff(constB150_type, type, (
% 37.16/23.60 constB150: $i)).
% 37.16/23.60 tff(v138_type, type, (
% 37.16/23.60 v138: $i > $o)).
% 37.16/23.60 tff(constB149_type, type, (
% 37.16/23.60 constB149: $i)).
% 37.16/23.60 tff(v22_type, type, (
% 37.16/23.60 v22: $i > $o)).
% 37.16/23.60 tff(v1_type, type, (
% 37.16/23.60 v1: $i > $o)).
% 37.16/23.60 tff(nextState_type, type, (
% 37.16/23.60 nextState: ( $i * $i ) > $o)).
% 37.16/23.60 tff(v142_type, type, (
% 37.16/23.60 v142: $i > $o)).
% 37.16/23.60 tff(v144_type, type, (
% 37.16/23.60 v144: $i > $o)).
% 37.16/23.60 tff(v145_type, type, (
% 37.16/23.60 v145: $i > $o)).
% 37.16/23.60 tff(v84_type, type, (
% 37.16/23.60 v84: ( $i * $i ) > $o)).
% 37.16/23.60 tff(bitIndex1_type, type, (
% 37.16/23.60 bitIndex1: $i)).
% 37.16/23.60 tff(constB148_type, type, (
% 37.16/23.60 constB148: $i)).
% 37.16/23.60 tff(v94_type, type, (
% 37.16/23.60 v94: $i > $o)).
% 37.16/23.60 tff(v104_type, type, (
% 37.16/23.60 v104: $i > $o)).
% 37.16/23.60 tff(v102_type, type, (
% 37.16/23.60 v102: $i > $o)).
% 37.16/23.60 tff(constB147_type, type, (
% 37.16/23.60 constB147: $i)).
% 37.16/23.60 tff(v106_type, type, (
% 37.16/23.60 v106: $i > $o)).
% 37.16/23.60 tff(v107_type, type, (
% 37.16/23.60 v107: $i > $o)).
% 37.16/23.60 tff(v108_type, type, (
% 37.16/23.60 v108: $i > $o)).
% 37.16/23.60 tff(v109_type, type, (
% 37.16/23.60 v109: $i > $o)).
% 37.16/23.60 tff(v110_type, type, (
% 37.16/23.60 v110: $i > $o)).
% 37.16/23.60 tff(v111_type, type, (
% 37.16/23.60 v111: $i > $o)).
% 37.16/23.60 tff(v112_type, type, (
% 37.16/23.60 v112: $i > $o)).
% 37.16/23.60 tff(bitIndex2_type, type, (
% 37.16/23.60 bitIndex2: $i)).
% 37.16/23.60 tff(constB146_type, type, (
% 37.16/23.60 constB146: $i)).
% 37.16/23.60 tff(constB145_type, type, (
% 37.16/23.60 constB145: $i)).
% 37.16/23.60 tff(v119_type, type, (
% 37.16/23.60 v119: $i > $o)).
% 37.16/23.60 tff(constB144_type, type, (
% 37.16/23.60 constB144: $i)).
% 37.16/23.60 tff(constB143_type, type, (
% 37.16/23.60 constB143: $i)).
% 37.16/23.60 tff(v172_type, type, (
% 37.16/23.60 v172: $i > $o)).
% 37.16/23.60 tff(constB142_type, type, (
% 37.16/23.60 constB142: $i)).
% 37.16/23.60 tff(constB141_type, type, (
% 37.16/23.60 constB141: $i)).
% 37.16/23.60 tff(v116_type, type, (
% 37.16/23.60 v116: $i > $o)).
% 37.16/23.60 tff(constB140_type, type, (
% 37.16/23.60 constB140: $i)).
% 37.16/23.60 tff(constB139_type, type, (
% 37.16/23.60 constB139: $i)).
% 37.16/23.60 tff(v26_type, type, (
% 37.16/23.60 v26: $i > $o)).
% 37.16/23.60 tff(v115_type, type, (
% 37.16/23.60 v115: $i > $o)).
% 37.16/23.60 tff(constB138_type, type, (
% 37.16/23.60 constB138: $i)).
% 37.16/23.60 tff(constB137_type, type, (
% 37.16/23.60 constB137: $i)).
% 37.16/23.60 tff(constB136_type, type, (
% 37.16/23.60 constB136: $i)).
% 37.16/23.60 tff(constB135_type, type, (
% 37.16/23.60 constB135: $i)).
% 37.16/23.60 tff(constB134_type, type, (
% 37.16/23.60 constB134: $i)).
% 37.16/23.60 tff(constB133_type, type, (
% 37.16/23.60 constB133: $i)).
% 37.16/23.60 tff(constB132_type, type, (
% 37.16/23.60 constB132: $i)).
% 37.16/23.60 tff(v123_type, type, (
% 37.16/23.60 v123: ( $i * $i ) > $o)).
% 37.16/23.60 tff(v121_type, type, (
% 37.16/23.60 v121: ( $i * $i ) > $o)).
% 37.16/23.60 tff(constB131_type, type, (
% 37.16/23.60 constB131: $i)).
% 37.16/23.60 tff(v124_type, type, (
% 37.16/23.60 v124: ( $i * $i ) > $o)).
% 37.16/23.60 tff(constB130_type, type, (
% 37.16/23.60 constB130: $i)).
% 37.16/23.60 tff(constB129_type, type, (
% 37.16/23.60 constB129: $i)).
% 37.16/23.60 tff(constB128_type, type, (
% 37.16/23.60 constB128: $i)).
% 37.16/23.60 tff(constB127_type, type, (
% 37.16/23.60 constB127: $i)).
% 37.16/23.60 tff(constB126_type, type, (
% 37.16/23.60 constB126: $i)).
% 37.16/23.60 tff(constB125_type, type, (
% 37.16/23.60 constB125: $i)).
% 37.16/23.60 tff(constB124_type, type, (
% 37.16/23.60 constB124: $i)).
% 37.16/23.60 tff(constB123_type, type, (
% 37.16/23.60 constB123: $i)).
% 37.16/23.60 tff(constB122_type, type, (
% 37.16/23.60 constB122: $i)).
% 37.16/23.60 tff(constB121_type, type, (
% 37.16/23.60 constB121: $i)).
% 37.16/23.60 tff(constB120_type, type, (
% 37.16/23.60 constB120: $i)).
% 37.16/23.60 tff(constB119_type, type, (
% 37.16/23.60 constB119: $i)).
% 37.16/23.60 tff(constB118_type, type, (
% 37.16/23.60 constB118: $i)).
% 37.16/23.60 tff(constB117_type, type, (
% 37.16/23.60 constB117: $i)).
% 37.16/23.60 tff(constB116_type, type, (
% 37.16/23.60 constB116: $i)).
% 37.16/23.60 tff(constB115_type, type, (
% 37.16/23.60 constB115: $i)).
% 37.16/23.60 tff(constB114_type, type, (
% 37.16/23.60 constB114: $i)).
% 37.16/23.60 tff(constB113_type, type, (
% 37.16/23.60 constB113: $i)).
% 37.16/23.60 tff(constB112_type, type, (
% 37.16/23.60 constB112: $i)).
% 37.16/23.60 tff(constB111_type, type, (
% 37.16/23.60 constB111: $i)).
% 37.16/23.60 tff(constB110_type, type, (
% 37.16/23.60 constB110: $i)).
% 37.16/23.60 tff(constB109_type, type, (
% 37.16/23.60 constB109: $i)).
% 37.16/23.60 tff(constB108_type, type, (
% 37.16/23.60 constB108: $i)).
% 37.16/23.60 tff(constB107_type, type, (
% 37.16/23.60 constB107: $i)).
% 37.16/23.60 tff(constB106_type, type, (
% 37.16/23.60 constB106: $i)).
% 37.16/23.60 tff(constB105_type, type, (
% 37.16/23.60 constB105: $i)).
% 37.16/23.60 tff(constB104_type, type, (
% 37.16/23.60 constB104: $i)).
% 37.16/23.60 tff(constB103_type, type, (
% 37.16/23.60 constB103: $i)).
% 37.16/23.60 tff(constB102_type, type, (
% 37.16/23.60 constB102: $i)).
% 37.16/23.60 tff(constB101_type, type, (
% 37.16/23.60 constB101: $i)).
% 37.16/23.60 tff(constB100_type, type, (
% 37.16/23.60 constB100: $i)).
% 37.16/23.60 tff(constB99_type, type, (
% 37.16/23.60 constB99: $i)).
% 37.16/23.60 tff(constB98_type, type, (
% 37.16/23.60 constB98: $i)).
% 37.16/23.60 tff(constB97_type, type, (
% 37.16/23.60 constB97: $i)).
% 37.16/23.60 tff(constB96_type, type, (
% 37.16/23.60 constB96: $i)).
% 37.16/23.60 tff(constB95_type, type, (
% 37.16/23.60 constB95: $i)).
% 37.16/23.60 tff(constB94_type, type, (
% 37.16/23.60 constB94: $i)).
% 37.16/23.60 tff(constB93_type, type, (
% 37.16/23.60 constB93: $i)).
% 37.16/23.60 tff(constB92_type, type, (
% 37.16/23.60 constB92: $i)).
% 37.16/23.60 tff(constB91_type, type, (
% 37.16/23.60 constB91: $i)).
% 37.16/23.60 tff(bitIndex0_type, type, (
% 37.16/23.60 bitIndex0: $i)).
% 37.16/23.60 tff(constB90_type, type, (
% 37.16/23.60 constB90: $i)).
% 37.16/23.60 tff(constB89_type, type, (
% 37.16/23.60 constB89: $i)).
% 37.16/23.60 tff(constB88_type, type, (
% 37.16/23.60 constB88: $i)).
% 37.16/23.60 tff(constB87_type, type, (
% 37.16/23.60 constB87: $i)).
% 37.16/23.60 tff(constB86_type, type, (
% 37.16/23.60 constB86: $i)).
% 37.16/23.60 tff(constB85_type, type, (
% 37.16/23.60 constB85: $i)).
% 37.16/23.60 tff(constB84_type, type, (
% 37.16/23.60 constB84: $i)).
% 37.16/23.60 tff(constB83_type, type, (
% 37.16/23.60 constB83: $i)).
% 37.16/23.60 tff(constB82_type, type, (
% 37.16/23.60 constB82: $i)).
% 37.16/23.60 tff(constB81_type, type, (
% 37.16/23.60 constB81: $i)).
% 37.16/23.60 tff(constB79_type, type, (
% 37.16/23.60 constB79: $i)).
% 37.16/23.60 tff(constB78_type, type, (
% 37.16/23.60 constB78: $i)).
% 37.16/23.60 tff(constB77_type, type, (
% 37.16/23.60 constB77: $i)).
% 37.16/23.60 tff(constB76_type, type, (
% 37.16/23.60 constB76: $i)).
% 37.16/23.60 tff(constB75_type, type, (
% 37.16/23.60 constB75: $i)).
% 37.16/23.60 tff(constB74_type, type, (
% 37.16/23.60 constB74: $i)).
% 37.16/23.60 tff(constB73_type, type, (
% 37.16/23.60 constB73: $i)).
% 37.16/23.60 tff(constB72_type, type, (
% 37.16/23.60 constB72: $i)).
% 37.16/23.60 tff(constB71_type, type, (
% 37.16/23.60 constB71: $i)).
% 37.16/23.60 tff(constB70_type, type, (
% 37.16/23.60 constB70: $i)).
% 37.16/23.60 tff(constB69_type, type, (
% 37.16/23.60 constB69: $i)).
% 37.16/23.60 tff(constB68_type, type, (
% 37.16/23.60 constB68: $i)).
% 37.16/23.60 tff(constB67_type, type, (
% 37.16/23.60 constB67: $i)).
% 37.16/23.60 tff(constB66_type, type, (
% 37.16/23.60 constB66: $i)).
% 37.16/23.60 tff(constB65_type, type, (
% 37.16/23.60 constB65: $i)).
% 37.16/23.60 tff(constB64_type, type, (
% 37.16/23.60 constB64: $i)).
% 37.16/23.60 tff(constB63_type, type, (
% 37.16/23.60 constB63: $i)).
% 37.16/23.60 tff(constB62_type, type, (
% 37.16/23.60 constB62: $i)).
% 37.16/23.60 tff(constB61_type, type, (
% 37.16/23.60 constB61: $i)).
% 37.16/23.60 tff(constB60_type, type, (
% 37.16/23.60 constB60: $i)).
% 37.16/23.60 tff(constB59_type, type, (
% 37.16/23.60 constB59: $i)).
% 37.16/23.60 tff(constB58_type, type, (
% 37.16/23.60 constB58: $i)).
% 37.16/23.60 tff(constB57_type, type, (
% 37.16/23.60 constB57: $i)).
% 37.16/23.60 tff(constB56_type, type, (
% 37.16/23.60 constB56: $i)).
% 37.16/23.60 tff(constB55_type, type, (
% 37.16/23.60 constB55: $i)).
% 37.16/23.60 tff(constB54_type, type, (
% 37.16/23.60 constB54: $i)).
% 37.16/23.60 tff(constB53_type, type, (
% 37.16/23.60 constB53: $i)).
% 37.16/23.60 tff(constB52_type, type, (
% 37.16/23.60 constB52: $i)).
% 37.16/23.60 tff(constB51_type, type, (
% 37.16/23.60 constB51: $i)).
% 37.16/23.60 tff(constB50_type, type, (
% 37.16/23.60 constB50: $i)).
% 37.16/23.60 tff(constB49_type, type, (
% 37.16/23.60 constB49: $i)).
% 37.16/23.60 tff(constB47_type, type, (
% 37.16/23.60 constB47: $i)).
% 37.16/23.60 tff(constB42_type, type, (
% 37.16/23.60 constB42: $i)).
% 37.16/23.60 tff(constB41_type, type, (
% 37.16/23.60 constB41: $i)).
% 37.16/23.60 tff(constB40_type, type, (
% 37.16/23.60 constB40: $i)).
% 37.16/23.60 tff(constB39_type, type, (
% 37.16/23.60 constB39: $i)).
% 37.16/23.60 tff(constB38_type, type, (
% 37.16/23.60 constB38: $i)).
% 37.16/23.60 tff(constB37_type, type, (
% 37.16/23.60 constB37: $i)).
% 37.16/23.60 tff(constB36_type, type, (
% 37.16/23.60 constB36: $i)).
% 37.16/23.60 tff(constB35_type, type, (
% 37.16/23.60 constB35: $i)).
% 37.16/23.60 tff(constB34_type, type, (
% 37.16/23.60 constB34: $i)).
% 37.16/23.60 tff(constB33_type, type, (
% 37.16/23.60 constB33: $i)).
% 37.16/23.60 tff(constB32_type, type, (
% 37.16/23.60 constB32: $i)).
% 37.16/23.60 tff(constB31_type, type, (
% 37.16/23.60 constB31: $i)).
% 37.16/23.60 tff(constB30_type, type, (
% 37.16/23.60 constB30: $i)).
% 37.16/23.60 tff(constB29_type, type, (
% 37.16/23.60 constB29: $i)).
% 37.16/23.60 tff(constB28_type, type, (
% 37.16/23.60 constB28: $i)).
% 37.16/23.60 tff(constB27_type, type, (
% 37.16/23.60 constB27: $i)).
% 37.16/23.60 tff(constB26_type, type, (
% 37.16/23.60 constB26: $i)).
% 37.16/23.60 tff(constB25_type, type, (
% 37.16/23.60 constB25: $i)).
% 37.16/23.60 tff(constB24_type, type, (
% 37.16/23.60 constB24: $i)).
% 37.16/23.60 tff(constB23_type, type, (
% 37.16/23.60 constB23: $i)).
% 37.16/23.60 tff(constB22_type, type, (
% 37.16/23.60 constB22: $i)).
% 37.16/23.60 tff(constB21_type, type, (
% 37.16/23.60 constB21: $i)).
% 37.16/23.60 tff(constB20_type, type, (
% 37.16/23.60 constB20: $i)).
% 37.16/23.60 tff(constB19_type, type, (
% 37.16/23.60 constB19: $i)).
% 37.16/23.60 tff(constB18_type, type, (
% 37.16/23.60 constB18: $i)).
% 37.16/23.60 tff(constB17_type, type, (
% 37.16/23.60 constB17: $i)).
% 37.16/23.60 tff(constB16_type, type, (
% 37.16/23.60 constB16: $i)).
% 37.16/23.60 tff(constB15_type, type, (
% 37.16/23.60 constB15: $i)).
% 37.16/23.60 tff(constB14_type, type, (
% 37.16/23.60 constB14: $i)).
% 37.16/23.60 tff(constB13_type, type, (
% 37.16/23.60 constB13: $i)).
% 37.16/23.60 tff(constB12_type, type, (
% 37.16/23.60 constB12: $i)).
% 37.16/23.60 tff(constB11_type, type, (
% 37.16/23.60 constB11: $i)).
% 37.16/23.60 tff(constB10_type, type, (
% 37.16/23.60 constB10: $i)).
% 37.16/23.60 tff(constB9_type, type, (
% 37.16/23.60 constB9: $i)).
% 37.16/23.60 tff(constB8_type, type, (
% 37.16/23.60 constB8: $i)).
% 37.16/23.60 tff(constB7_type, type, (
% 37.16/23.60 constB7: $i)).
% 37.16/23.60 tff(constB6_type, type, (
% 37.16/23.60 constB6: $i)).
% 37.16/23.60 tff(constB5_type, type, (
% 37.16/23.60 constB5: $i)).
% 37.16/23.60 tff(constB4_type, type, (
% 37.16/23.60 constB4: $i)).
% 37.16/23.60 tff(constB3_type, type, (
% 37.16/23.60 constB3: $i)).
% 37.16/23.60 tff(constB2_type, type, (
% 37.16/23.60 constB2: $i)).
% 37.16/23.60 tff(constB1_type, type, (
% 37.16/23.60 constB1: $i)).
% 37.16/23.60 tff(v113_type, type, (
% 37.16/23.60 v113: $i > $o)).
% 37.16/23.60 tff(v95_type, type, (
% 37.16/23.60 v95: $i > $o)).
% 37.16/23.60 tff(constB0_type, type, (
% 37.16/23.60 constB0: $i)).
% 37.16/23.60 tff(v96_type, type, (
% 37.16/23.60 v96: $i > $o)).
% 37.16/23.60 tff(v98_type, type, (
% 37.16/23.60 v98: $i > $o)).
% 37.16/23.60 tff(v118_type, type, (
% 37.16/23.60 v118: $i > $o)).
% 37.16/23.60 tff(v60_type, type, (
% 37.16/23.60 v60: $i > $o)).
% 37.16/23.60 tff(v66_type, type, (
% 37.16/23.60 v66: $i > $o)).
% 37.16/23.60 tff(v64_type, type, (
% 37.16/23.60 v64: $i > $o)).
% 37.16/23.60 tff(v74_type, type, (
% 37.16/23.60 v74: $i > $o)).
% 37.16/23.60 tff(v72_type, type, (
% 37.16/23.60 v72: $i > $o)).
% 37.16/23.60 tff(v76_type, type, (
% 37.16/23.60 v76: $i > $o)).
% 37.16/23.60 tff(v80_type, type, (
% 37.16/23.60 v80: $i > $o)).
% 37.16/23.60 tff(v78_type, type, (
% 37.16/23.60 v78: $i > $o)).
% 37.16/23.60 tff(v71_type, type, (
% 37.16/23.60 v71: $i > $o)).
% 37.16/23.60 tff(constB43_type, type, (
% 37.16/23.60 constB43: $i)).
% 37.16/23.60 tff(constB46_type, type, (
% 37.16/23.60 constB46: $i)).
% 37.16/23.60 tff(constB45_type, type, (
% 37.16/23.60 constB45: $i)).
% 37.16/23.60 tff(constB44_type, type, (
% 37.16/23.60 constB44: $i)).
% 37.16/23.60 tff(constB48_type, type, (
% 37.16/23.60 constB48: $i)).
% 37.16/23.60 tff(constB80_type, type, (
% 37.16/23.60 constB80: $i)).
% 37.16/23.60 tff(v155_type, type, (
% 37.16/23.60 v155: $i > $o)).
% 37.16/23.60 tff(v168_type, type, (
% 37.16/23.60 v168: $i > $o)).
% 37.16/23.60 tff(constB175_type, type, (
% 37.16/23.60 constB175: $i)).
% 37.16/23.60 tff(constB174_type, type, (
% 37.16/23.60 constB174: $i)).
% 37.16/23.60 tff(constB173_type, type, (
% 37.16/23.60 constB173: $i)).
% 37.16/23.60 tff(constB172_type, type, (
% 37.16/23.60 constB172: $i)).
% 37.16/23.60 tff(constB171_type, type, (
% 37.16/23.60 constB171: $i)).
% 37.16/23.60 tff(constB170_type, type, (
% 37.16/23.60 constB170: $i)).
% 37.16/23.60 tff(constB169_type, type, (
% 37.16/23.60 constB169: $i)).
% 37.16/23.60 tff(constB168_type, type, (
% 37.16/23.60 constB168: $i)).
% 37.16/23.60 tff(constB167_type, type, (
% 37.16/23.60 constB167: $i)).
% 37.16/23.60 tff(constB163_type, type, (
% 37.16/23.60 constB163: $i)).
% 37.16/23.60 tff(constB162_type, type, (
% 37.16/23.60 constB162: $i)).
% 37.16/23.60 tff(constB161_type, type, (
% 37.16/23.60 constB161: $i)).
% 37.16/23.60 tff(constB160_type, type, (
% 37.16/23.60 constB160: $i)).
% 37.16/23.60 tff(constB159_type, type, (
% 37.16/23.60 constB159: $i)).
% 37.16/23.60 tff(constB158_type, type, (
% 37.16/23.60 constB158: $i)).
% 37.16/23.60 tff(constB157_type, type, (
% 37.16/23.60 constB157: $i)).
% 37.16/23.60 tff(constB156_type, type, (
% 37.16/23.60 constB156: $i)).
% 37.16/23.60 tff(constB166_type, type, (
% 37.16/23.60 constB166: $i)).
% 37.16/23.60 tff(constB165_type, type, (
% 37.16/23.60 constB165: $i)).
% 37.16/23.60 tff(constB164_type, type, (
% 37.16/23.60 constB164: $i)).
% 37.16/23.60 tff(v170_type, type, (
% 37.16/23.60 v170: $i > $o)).
% 37.16/23.60 tff(v169_type, type, (
% 37.16/23.60 v169: $i > $o)).
% 37.16/23.60 tff(constB193_type, type, (
% 37.16/23.60 constB193: $i)).
% 37.16/23.60 tff(constB192_type, type, (
% 37.16/23.60 constB192: $i)).
% 37.16/23.60 tff(constB191_type, type, (
% 37.16/23.60 constB191: $i)).
% 37.16/23.60 tff(constB190_type, type, (
% 37.16/23.60 constB190: $i)).
% 37.16/23.60 tff(constB189_type, type, (
% 37.16/23.60 constB189: $i)).
% 37.16/23.60 tff(constB188_type, type, (
% 37.16/23.60 constB188: $i)).
% 37.16/23.60 tff(constB187_type, type, (
% 37.16/23.60 constB187: $i)).
% 37.16/23.60 tff(constB186_type, type, (
% 37.16/23.60 constB186: $i)).
% 37.16/23.60 tff(constB182_type, type, (
% 37.16/23.60 constB182: $i)).
% 37.16/23.60 tff(constB181_type, type, (
% 37.16/23.60 constB181: $i)).
% 37.16/23.60 tff(constB179_type, type, (
% 37.16/23.60 constB179: $i)).
% 37.16/23.60 tff(constB178_type, type, (
% 37.16/23.60 constB178: $i)).
% 37.16/23.60 tff(constB177_type, type, (
% 37.16/23.60 constB177: $i)).
% 37.16/23.60 tff(constB176_type, type, (
% 37.16/23.60 constB176: $i)).
% 37.16/23.60 tff(constB180_type, type, (
% 37.16/23.60 constB180: $i)).
% 37.16/23.60 tff(constB195_type, type, (
% 37.16/23.60 constB195: $i)).
% 37.16/23.60 tff(constB194_type, type, (
% 37.16/23.60 constB194: $i)).
% 37.16/23.60 tff(constB199_type, type, (
% 37.16/23.60 constB199: $i)).
% 37.16/23.60 tff(constB198_type, type, (
% 37.16/23.60 constB198: $i)).
% 37.16/23.60 tff(constB197_type, type, (
% 37.16/23.60 constB197: $i)).
% 37.16/23.60 tff(constB196_type, type, (
% 37.16/23.60 constB196: $i)).
% 37.16/23.60 tff(constB200_type, type, (
% 37.16/23.60 constB200: $i)).
% 37.16/23.60 tff(reachableState_type, type, (
% 37.16/23.60 reachableState: $i > $o)).
% 37.16/23.60 tff(1,assumption,(v18(constB150)), introduced(assumption)).
% 37.16/23.60 tff(2,plain,
% 37.16/23.60 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(3,plain,
% 37.16/23.60 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[2])).
% 37.16/23.60 tff(4,plain,
% 37.16/23.60 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(5,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 37.16/23.60 tff(6,plain,
% 37.16/23.60 (![VarCurr: $i] : (~v18(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[5, 4])).
% 37.16/23.60 tff(7,plain,(
% 37.16/23.60 ![VarCurr: $i] : (~v18(VarCurr))),
% 37.16/23.60 inference(skolemize,[status(sab)],[6])).
% 37.16/23.60 tff(8,plain,
% 37.16/23.60 (![VarCurr: $i] : (~v18(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[7, 3])).
% 37.16/23.60 tff(9,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB150))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(10,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 37.16/23.60 tff(11,plain,(~v18(constB150)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(12,plain,
% 37.16/23.60 (v1(constB150) <=> v1(constB150)),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(13,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 37.16/23.60 tff(14,plain,
% 37.16/23.60 (v1(constB150)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[13, 12])).
% 37.16/23.60 tff(15,plain,
% 37.16/23.60 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(16,plain,
% 37.16/23.60 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[15])).
% 37.16/23.60 tff(17,plain,
% 37.16/23.60 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(18,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 37.16/23.60 tff(19,plain,
% 37.16/23.60 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[18, 17])).
% 37.16/23.60 tff(20,plain,(
% 37.16/23.60 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 37.16/23.60 inference(skolemize,[status(sab)],[19])).
% 37.16/23.60 tff(21,plain,
% 37.16/23.60 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[20, 16])).
% 37.16/23.60 tff(22,plain,
% 37.16/23.60 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150)))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(23,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(24,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[23, 22])).
% 37.16/23.60 tff(25,plain,
% 37.16/23.60 (v22(constB150)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 37.16/23.60 tff(26,plain,
% 37.16/23.60 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(27,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[26])).
% 37.16/23.60 tff(28,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(29,plain,
% 37.16/23.60 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(30,plain,
% 37.16/23.60 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[29])).
% 37.16/23.60 tff(31,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 37.16/23.60 tff(32,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[31, 30])).
% 37.16/23.60 tff(33,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[32, 28])).
% 37.16/23.60 tff(34,plain,(
% 37.16/23.60 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 37.16/23.60 inference(skolemize,[status(sab)],[33])).
% 37.16/23.60 tff(35,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[34, 27])).
% 37.16/23.60 tff(36,plain,
% 37.16/23.60 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB150)) | (~v22(constB150)) | v18(constB150))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB150)) | (~v22(constB150)) | v18(constB150))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(37,plain,
% 37.16/23.60 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB150)) | (~v22(constB150)) | v18(constB150))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(38,plain,
% 37.16/23.60 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB150)) | (~v22(constB150)) | v18(constB150)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[37, 36])).
% 37.16/23.60 tff(39,plain,
% 37.16/23.60 ((~v19(constB150)) | v18(constB150)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[38, 35, 25])).
% 37.16/23.60 tff(40,plain,
% 37.16/23.60 (~v19(constB150)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[39, 11])).
% 37.16/23.60 tff(41,plain,
% 37.16/23.60 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(42,plain,
% 37.16/23.60 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[41])).
% 37.16/23.60 tff(43,plain,
% 37.16/23.60 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(44,plain,
% 37.16/23.60 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(45,plain,
% 37.16/23.60 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[44])).
% 37.16/23.60 tff(46,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 37.16/23.60 tff(47,plain,
% 37.16/23.60 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[46, 45])).
% 37.16/23.60 tff(48,plain,
% 37.16/23.60 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[47, 43])).
% 37.16/23.60 tff(49,plain,(
% 37.16/23.60 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 37.16/23.60 inference(skolemize,[status(sab)],[48])).
% 37.16/23.60 tff(50,plain,
% 37.16/23.60 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[49, 42])).
% 37.16/23.60 tff(51,plain,
% 37.16/23.60 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(52,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(53,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[52, 51])).
% 37.16/23.60 tff(54,plain,
% 37.16/23.60 (v13(constB150)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[53, 50, 40])).
% 37.16/23.60 tff(55,plain,
% 37.16/23.60 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(56,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 37.16/23.60 tff(57,plain,
% 37.16/23.60 (nextState(constB149, constB150)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[56, 55])).
% 37.16/23.60 tff(58,plain,
% 37.16/23.60 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(59,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[58])).
% 37.16/23.60 tff(60,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(61,plain,
% 37.16/23.60 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(62,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[61])).
% 37.16/23.60 tff(63,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11_2')).
% 37.16/23.60 tff(64,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[63, 62])).
% 37.16/23.60 tff(65,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[64, 60])).
% 37.16/23.60 tff(66,plain,(
% 37.16/23.60 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 37.16/23.60 inference(skolemize,[status(sab)],[65])).
% 37.16/23.60 tff(67,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[66, 59])).
% 37.16/23.60 tff(68,plain,
% 37.16/23.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(69,plain,
% 37.16/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(70,plain,
% 37.16/23.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB149, constB150)) | (~v13(constB150)) | v9(constB149)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[69, 68])).
% 37.16/23.60 tff(71,plain,
% 37.16/23.60 ((~v13(constB150)) | v9(constB149)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[70, 67, 57])).
% 37.16/23.60 tff(72,plain,
% 37.16/23.60 (v9(constB149)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[71, 54])).
% 37.16/23.60 tff(73,plain,
% 37.16/23.60 ((~v1(constB149)) <=> (~v1(constB149))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(74,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 37.16/23.60 tff(75,plain,
% 37.16/23.60 (~v1(constB149)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[74, 73])).
% 37.16/23.60 tff(76,plain,
% 37.16/23.60 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(77,plain,
% 37.16/23.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[76])).
% 37.16/23.60 tff(78,plain,
% 37.16/23.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(79,plain,
% 37.16/23.60 (^[VarCurr: $i] : trans(monotonicity(rewrite((v141(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v141(VarCurr))), (((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v141(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v141(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))), (((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(80,plain,
% 37.16/23.60 (![VarCurr: $i] : ((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[79])).
% 37.16/23.60 tff(81,axiom,(![VarCurr: $i] : ((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28_1_1_1')).
% 37.16/23.60 tff(82,plain,
% 37.16/23.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[81, 80])).
% 37.16/23.60 tff(83,plain,
% 37.16/23.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[82, 78])).
% 37.16/23.60 tff(84,plain,(
% 37.16/23.60 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 37.16/23.60 inference(skolemize,[status(sab)],[83])).
% 37.16/23.60 tff(85,plain,
% 37.16/23.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[84, 77])).
% 37.16/23.60 tff(86,plain,
% 37.16/23.60 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v141(constB149))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB149) | (~v9(constB149)) | v141(constB149))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(87,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v141(constB149))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(88,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB149) | (~v9(constB149)) | v141(constB149)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[87, 86])).
% 37.16/23.60 tff(89,plain,
% 37.16/23.60 ((~v9(constB149)) | v141(constB149)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[88, 85, 75])).
% 37.16/23.60 tff(90,plain,
% 37.16/23.60 (v141(constB149)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[89, 72])).
% 37.16/23.60 tff(91,plain,
% 37.16/23.60 (^[VarCurr: $i] : refl((v140(VarCurr) | (~v141(VarCurr))) <=> (v140(VarCurr) | (~v141(VarCurr))))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(92,plain,
% 37.16/23.60 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[91])).
% 37.16/23.60 tff(93,plain,
% 37.16/23.60 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(94,axiom,(![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_29_1_1_1')).
% 37.16/23.60 tff(95,plain,
% 37.16/23.60 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[94, 93])).
% 37.16/23.60 tff(96,plain,(
% 37.16/23.60 ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 37.16/23.60 inference(skolemize,[status(sab)],[95])).
% 37.16/23.60 tff(97,plain,
% 37.16/23.60 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[96, 92])).
% 37.16/23.60 tff(98,plain,
% 37.16/23.60 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB149) | (~v141(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB149) | (~v141(constB149)))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(99,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB149) | (~v141(constB149)))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(100,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB149) | (~v141(constB149))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[99, 98])).
% 37.16/23.60 tff(101,plain,
% 37.16/23.60 (v140(constB149)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[100, 97, 90])).
% 37.16/23.60 tff(102,plain,
% 37.16/23.60 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v138(VarCurr))) <=> ((~v140(VarCurr)) | (~v138(VarCurr))))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(103,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[102])).
% 37.16/23.60 tff(104,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(105,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1_3')).
% 37.16/23.60 tff(106,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[105, 104])).
% 37.16/23.60 tff(107,plain,(
% 37.16/23.60 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 37.16/23.60 inference(skolemize,[status(sab)],[106])).
% 37.16/23.60 tff(108,plain,
% 37.16/23.60 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[107, 103])).
% 37.16/23.60 tff(109,plain,
% 37.16/23.60 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB149)) | (~v138(constB149)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB149)) | (~v138(constB149)))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(110,plain,
% 37.16/23.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB149)) | (~v138(constB149)))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(111,plain,
% 37.16/23.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB149)) | (~v138(constB149))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[110, 109])).
% 37.16/23.60 tff(112,plain,
% 37.16/23.60 (~v138(constB149)),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[111, 108, 101])).
% 37.16/23.60 tff(113,assumption,(v26(constB139)), introduced(assumption)).
% 37.16/23.60 tff(114,plain,
% 37.16/23.60 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(115,plain,
% 37.16/23.60 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[114])).
% 37.16/23.60 tff(116,plain,
% 37.16/23.60 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(117,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 37.16/23.60 tff(118,plain,
% 37.16/23.60 (![VarCurr: $i] : (~v26(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[117, 116])).
% 37.16/23.60 tff(119,plain,(
% 37.16/23.60 ![VarCurr: $i] : (~v26(VarCurr))),
% 37.16/23.60 inference(skolemize,[status(sab)],[118])).
% 37.16/23.60 tff(120,plain,
% 37.16/23.60 (![VarCurr: $i] : (~v26(VarCurr))),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[119, 115])).
% 37.16/23.60 tff(121,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(122,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[121, 120, 113])).
% 37.16/23.60 tff(123,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(124,assumption,(v26(constB137)), introduced(assumption)).
% 37.16/23.60 tff(125,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(126,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[125, 120, 124])).
% 37.16/23.60 tff(127,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(128,assumption,(v26(constB135)), introduced(assumption)).
% 37.16/23.60 tff(129,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(130,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[129, 120, 128])).
% 37.16/23.60 tff(131,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(132,assumption,(v26(constB131)), introduced(assumption)).
% 37.16/23.60 tff(133,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(134,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[133, 120, 132])).
% 37.16/23.60 tff(135,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(136,assumption,(v26(constB15)), introduced(assumption)).
% 37.16/23.60 tff(137,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(138,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[137, 120, 136])).
% 37.16/23.60 tff(139,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(140,assumption,(v26(constB13)), introduced(assumption)).
% 37.16/23.60 tff(141,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(142,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[141, 120, 140])).
% 37.16/23.60 tff(143,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(144,assumption,(v26(constB11)), introduced(assumption)).
% 37.16/23.60 tff(145,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(146,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[145, 120, 144])).
% 37.16/23.60 tff(147,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(148,assumption,(v26(constB9)), introduced(assumption)).
% 37.16/23.60 tff(149,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(150,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[149, 120, 148])).
% 37.16/23.60 tff(151,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(152,assumption,(v26(constB3)), introduced(assumption)).
% 37.16/23.60 tff(153,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(154,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[153, 120, 152])).
% 37.16/23.60 tff(155,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(156,assumption,(v26(constB1)), introduced(assumption)).
% 37.16/23.60 tff(157,plain,
% 37.16/23.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 37.16/23.60 inference(quant_inst,[status(thm)],[])).
% 37.16/23.60 tff(158,plain,
% 37.16/23.60 ($false),
% 37.16/23.60 inference(unit_resolution,[status(thm)],[157, 120, 156])).
% 37.16/23.60 tff(159,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 37.16/23.60 tff(160,plain,
% 37.16/23.60 ((~v1(constB1)) <=> (~v1(constB1))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(161,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 37.16/23.60 tff(162,plain,
% 37.16/23.60 (~v1(constB1)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[161, 160])).
% 37.16/23.60 tff(163,plain,
% 37.16/23.60 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(164,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_200')).
% 37.16/23.60 tff(165,plain,
% 37.16/23.60 (nextState(constB0, constB1)),
% 37.16/23.60 inference(modus_ponens,[status(thm)],[164, 163])).
% 37.16/23.60 tff(166,plain,
% 37.16/23.60 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(167,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[166])).
% 37.16/23.60 tff(168,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 37.16/23.60 inference(rewrite,[status(thm)],[])).
% 37.16/23.60 tff(169,plain,
% 37.16/23.60 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)))),
% 37.16/23.60 inference(bind,[status(th)],[])).
% 37.16/23.60 tff(170,plain,
% 37.16/23.60 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 37.16/23.60 inference(quant_intro,[status(thm)],[169])).
% 37.16/23.60 tff(171,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 37.16/23.61 tff(172,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[171, 170])).
% 37.16/23.61 tff(173,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[172, 168])).
% 37.16/23.61 tff(174,plain,(
% 37.16/23.61 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 37.16/23.61 inference(skolemize,[status(sab)],[173])).
% 37.16/23.61 tff(175,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[174, 167])).
% 37.16/23.61 tff(176,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(177,plain,
% 37.16/23.61 (((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(178,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1))))),
% 37.16/23.61 inference(monotonicity,[status(thm)],[177])).
% 37.16/23.61 tff(179,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 37.16/23.61 inference(transitivity,[status(thm)],[178, 176])).
% 37.16/23.61 tff(180,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))),
% 37.16/23.61 inference(quant_inst,[status(thm)],[])).
% 37.16/23.61 tff(181,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[180, 179])).
% 37.16/23.61 tff(182,plain,
% 37.16/23.61 (~v95(constB1)),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[181, 175, 165, 162])).
% 37.16/23.61 tff(183,plain,
% 37.16/23.61 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(184,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[183])).
% 37.16/23.61 tff(185,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(186,plain,
% 37.16/23.61 (^[VarNext: $i, VarCurr: $i] : rewrite(((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(187,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[186])).
% 37.16/23.61 tff(188,axiom,(![VarNext: $i, VarCurr: $i] : ((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 37.16/23.61 tff(189,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[188, 187])).
% 37.16/23.61 tff(190,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[189, 185])).
% 37.16/23.61 tff(191,plain,(
% 37.16/23.61 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 37.16/23.61 inference(skolemize,[status(sab)],[190])).
% 37.16/23.61 tff(192,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[191, 184])).
% 37.16/23.61 tff(193,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(194,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))),
% 37.16/23.61 inference(quant_inst,[status(thm)],[])).
% 37.16/23.61 tff(195,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[194, 193])).
% 37.16/23.61 tff(196,plain,
% 37.16/23.61 (v95(constB1) | (~v94(constB1))),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[195, 192, 165])).
% 37.16/23.61 tff(197,plain,
% 37.16/23.61 (~v94(constB1)),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[196, 182])).
% 37.16/23.61 tff(198,plain,
% 37.16/23.61 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(199,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[198])).
% 37.16/23.61 tff(200,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(201,plain,
% 37.16/23.61 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) <=> (v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2)))), (((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) <=> ((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)))), rewrite(((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))), (((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))))), ((((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))), ((((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(202,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[201])).
% 37.16/23.61 tff(203,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 37.16/23.61 tff(204,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[203, 202])).
% 37.16/23.61 tff(205,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[204, 200])).
% 37.16/23.61 tff(206,plain,(
% 37.16/23.61 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 37.16/23.61 inference(skolemize,[status(sab)],[205])).
% 37.16/23.61 tff(207,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[206, 199])).
% 37.16/23.61 tff(208,plain,
% 37.16/23.61 ((~v84(constB0, bitIndex2)) <=> (~v84(constB0, bitIndex2))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(209,axiom,(~v84(constB0, bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 37.16/23.61 tff(210,plain,
% 37.16/23.61 (~v84(constB0, bitIndex2)),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[209, 208])).
% 37.16/23.61 tff(211,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(212,plain,
% 37.16/23.61 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2))) <=> (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(213,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2))))),
% 37.16/23.61 inference(monotonicity,[status(thm)],[212])).
% 37.16/23.61 tff(214,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 37.16/23.61 inference(transitivity,[status(thm)],[213, 211])).
% 37.16/23.61 tff(215,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 37.16/23.61 inference(quant_inst,[status(thm)],[])).
% 37.16/23.61 tff(216,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[215, 214])).
% 37.16/23.61 tff(217,plain,
% 37.16/23.61 (v94(constB1) | (~v84(constB1, bitIndex2))),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[216, 210, 207, 165])).
% 37.16/23.61 tff(218,plain,
% 37.16/23.61 (~v84(constB1, bitIndex2)),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[217, 197])).
% 37.16/23.61 tff(219,plain,
% 37.16/23.61 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(220,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[219])).
% 37.16/23.61 tff(221,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(222,plain,
% 37.16/23.61 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) <=> (v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1)))), (((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) <=> ((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)))), rewrite(((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))), (((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))))), ((((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))), ((((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(223,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[222])).
% 37.16/23.61 tff(224,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 37.16/23.61 tff(225,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[224, 223])).
% 37.16/23.61 tff(226,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[225, 221])).
% 37.16/23.61 tff(227,plain,(
% 37.16/23.61 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 37.16/23.61 inference(skolemize,[status(sab)],[226])).
% 37.16/23.61 tff(228,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[227, 220])).
% 37.16/23.61 tff(229,plain,
% 37.16/23.61 ((~v84(constB0, bitIndex1)) <=> (~v84(constB0, bitIndex1))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(230,axiom,(~v84(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 37.16/23.61 tff(231,plain,
% 37.16/23.61 (~v84(constB0, bitIndex1)),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[230, 229])).
% 37.16/23.61 tff(232,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(233,plain,
% 37.16/23.61 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1))) <=> (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(234,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1))))),
% 37.16/23.61 inference(monotonicity,[status(thm)],[233])).
% 37.16/23.61 tff(235,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 37.16/23.61 inference(transitivity,[status(thm)],[234, 232])).
% 37.16/23.61 tff(236,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 37.16/23.61 inference(quant_inst,[status(thm)],[])).
% 37.16/23.61 tff(237,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[236, 235])).
% 37.16/23.61 tff(238,plain,
% 37.16/23.61 (v94(constB1) | (~v84(constB1, bitIndex1))),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[237, 231, 228, 165])).
% 37.16/23.61 tff(239,plain,
% 37.16/23.61 (~v84(constB1, bitIndex1)),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[238, 197])).
% 37.16/23.61 tff(240,plain,
% 37.16/23.61 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(241,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[240])).
% 37.16/23.61 tff(242,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(243,plain,
% 37.16/23.61 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0)))), (((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) <=> ((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)))), rewrite(((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))), (((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))))), ((((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))), ((((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(244,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[243])).
% 37.16/23.61 tff(245,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 37.16/23.61 tff(246,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[245, 244])).
% 37.16/23.61 tff(247,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[246, 242])).
% 37.16/23.61 tff(248,plain,(
% 37.16/23.61 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 37.16/23.61 inference(skolemize,[status(sab)],[247])).
% 37.16/23.61 tff(249,plain,
% 37.16/23.61 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[248, 241])).
% 37.16/23.61 tff(250,plain,
% 37.16/23.61 ((~v84(constB0, bitIndex0)) <=> (~v84(constB0, bitIndex0))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(251,axiom,(~v84(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 37.16/23.61 tff(252,plain,
% 37.16/23.61 (~v84(constB0, bitIndex0)),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[251, 250])).
% 37.16/23.61 tff(253,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(254,plain,
% 37.16/23.61 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0))) <=> (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(255,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0))))),
% 37.16/23.61 inference(monotonicity,[status(thm)],[254])).
% 37.16/23.61 tff(256,plain,
% 37.16/23.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 37.16/23.61 inference(transitivity,[status(thm)],[255, 253])).
% 37.16/23.61 tff(257,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 37.16/23.61 inference(quant_inst,[status(thm)],[])).
% 37.16/23.61 tff(258,plain,
% 37.16/23.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[257, 256])).
% 37.16/23.61 tff(259,plain,
% 37.16/23.61 (v94(constB1) | (~v84(constB1, bitIndex0))),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[258, 252, 249, 165])).
% 37.16/23.61 tff(260,plain,
% 37.16/23.61 (~v84(constB1, bitIndex0)),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[259, 197])).
% 37.16/23.61 tff(261,plain,
% 37.16/23.61 (^[VarCurr: $i] : refl((v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(262,plain,
% 37.16/23.61 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[261])).
% 37.16/23.61 tff(263,plain,
% 37.16/23.61 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(264,plain,
% 37.16/23.61 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ((v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)))), rewrite(((v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(265,plain,
% 37.16/23.61 (![VarCurr: $i] : (((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[264])).
% 37.16/23.61 tff(266,axiom,(![VarCurr: $i] : (((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 37.16/23.61 tff(267,plain,
% 37.16/23.61 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[266, 265])).
% 37.16/23.61 tff(268,plain,
% 37.16/23.61 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[267, 263])).
% 37.16/23.61 tff(269,plain,(
% 37.16/23.61 ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 37.16/23.61 inference(skolemize,[status(sab)],[268])).
% 37.16/23.61 tff(270,plain,
% 37.16/23.61 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[269, 262])).
% 37.16/23.61 tff(271,plain,
% 37.16/23.61 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB1) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB1) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(272,plain,
% 37.16/23.61 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB1) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))),
% 37.16/23.61 inference(quant_inst,[status(thm)],[])).
% 37.16/23.61 tff(273,plain,
% 37.16/23.61 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB1) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2)),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[272, 271])).
% 37.16/23.61 tff(274,plain,
% 37.16/23.61 (v113(constB1)),
% 37.16/23.61 inference(unit_resolution,[status(thm)],[273, 270, 260, 239, 218])).
% 37.16/23.61 tff(275,plain,
% 37.16/23.61 (^[VarCurr: $i] : refl((v112(VarCurr) | (~v113(VarCurr))) <=> (v112(VarCurr) | (~v113(VarCurr))))),
% 37.16/23.61 inference(bind,[status(th)],[])).
% 37.16/23.61 tff(276,plain,
% 37.16/23.61 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 37.16/23.61 inference(quant_intro,[status(thm)],[275])).
% 37.16/23.61 tff(277,plain,
% 37.16/23.61 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(278,axiom,(![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_2')).
% 37.16/23.61 tff(279,plain,
% 37.16/23.61 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[278, 277])).
% 37.16/23.61 tff(280,plain,(
% 37.16/23.61 ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 37.16/23.61 inference(skolemize,[status(sab)],[279])).
% 37.16/23.61 tff(281,plain,
% 37.16/23.61 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[280, 276])).
% 37.16/23.61 tff(282,plain,
% 37.16/23.61 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB1) | (~v113(constB1)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB1) | (~v113(constB1)))),
% 37.16/23.61 inference(rewrite,[status(thm)],[])).
% 37.16/23.61 tff(283,plain,
% 37.16/23.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB1) | (~v113(constB1)))),
% 37.16/23.61 inference(quant_inst,[status(thm)],[])).
% 37.16/23.61 tff(284,plain,
% 37.16/23.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB1) | (~v113(constB1))),
% 37.16/23.61 inference(modus_ponens,[status(thm)],[283, 282])).
% 37.16/23.61 tff(285,plain,
% 37.16/23.61 (v112(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[284, 281, 274])).
% 37.16/23.62 tff(286,plain,
% 37.16/23.62 (^[VarCurr: $i] : refl((v111(VarCurr) | (~v112(VarCurr))) <=> (v111(VarCurr) | (~v112(VarCurr))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(287,plain,
% 37.16/23.62 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[286])).
% 37.16/23.62 tff(288,plain,
% 37.16/23.62 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(289,axiom,(![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 37.16/23.62 tff(290,plain,
% 37.16/23.62 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[289, 288])).
% 37.16/23.62 tff(291,plain,(
% 37.16/23.62 ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 37.16/23.62 inference(skolemize,[status(sab)],[290])).
% 37.16/23.62 tff(292,plain,
% 37.16/23.62 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[291, 287])).
% 37.16/23.62 tff(293,plain,
% 37.16/23.62 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB1) | (~v112(constB1)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(294,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB1) | (~v112(constB1)))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(295,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB1) | (~v112(constB1))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[294, 293])).
% 37.16/23.62 tff(296,plain,
% 37.16/23.62 (v111(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[295, 292, 285])).
% 37.16/23.62 tff(297,plain,
% 37.16/23.62 (^[VarCurr: $i] : refl((v110(VarCurr) | (~v111(VarCurr))) <=> (v110(VarCurr) | (~v111(VarCurr))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(298,plain,
% 37.16/23.62 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[297])).
% 37.16/23.62 tff(299,plain,
% 37.16/23.62 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(300,axiom,(![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 37.16/23.62 tff(301,plain,
% 37.16/23.62 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[300, 299])).
% 37.16/23.62 tff(302,plain,(
% 37.16/23.62 ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 37.16/23.62 inference(skolemize,[status(sab)],[301])).
% 37.16/23.62 tff(303,plain,
% 37.16/23.62 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[302, 298])).
% 37.16/23.62 tff(304,plain,
% 37.16/23.62 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB1) | (~v111(constB1)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB1) | (~v111(constB1)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(305,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB1) | (~v111(constB1)))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(306,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB1) | (~v111(constB1))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[305, 304])).
% 37.16/23.62 tff(307,plain,
% 37.16/23.62 (v110(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[306, 303, 296])).
% 37.16/23.62 tff(308,plain,
% 37.16/23.62 (^[VarCurr: $i] : refl((v109(VarCurr) | (~v110(VarCurr))) <=> (v109(VarCurr) | (~v110(VarCurr))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(309,plain,
% 37.16/23.62 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[308])).
% 37.16/23.62 tff(310,plain,
% 37.16/23.62 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(311,axiom,(![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_2')).
% 37.16/23.62 tff(312,plain,
% 37.16/23.62 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[311, 310])).
% 37.16/23.62 tff(313,plain,(
% 37.16/23.62 ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 37.16/23.62 inference(skolemize,[status(sab)],[312])).
% 37.16/23.62 tff(314,plain,
% 37.16/23.62 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[313, 309])).
% 37.16/23.62 tff(315,plain,
% 37.16/23.62 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB1) | (~v110(constB1)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB1) | (~v110(constB1)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(316,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB1) | (~v110(constB1)))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(317,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB1) | (~v110(constB1))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[316, 315])).
% 37.16/23.62 tff(318,plain,
% 37.16/23.62 (v109(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[317, 314, 307])).
% 37.16/23.62 tff(319,plain,
% 37.16/23.62 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v109(VarCurr))) <=> (v108(VarCurr) | (~v109(VarCurr))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(320,plain,
% 37.16/23.62 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[319])).
% 37.16/23.62 tff(321,plain,
% 37.16/23.62 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(322,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 37.16/23.62 tff(323,plain,
% 37.16/23.62 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[322, 321])).
% 37.16/23.62 tff(324,plain,(
% 37.16/23.62 ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 37.16/23.62 inference(skolemize,[status(sab)],[323])).
% 37.16/23.62 tff(325,plain,
% 37.16/23.62 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[324, 320])).
% 37.16/23.62 tff(326,plain,
% 37.16/23.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB1) | (~v109(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB1) | (~v109(constB1)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(327,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB1) | (~v109(constB1)))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(328,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB1) | (~v109(constB1))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[327, 326])).
% 37.16/23.62 tff(329,plain,
% 37.16/23.62 (v108(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[328, 325, 318])).
% 37.16/23.62 tff(330,plain,
% 37.16/23.62 (^[VarCurr: $i] : refl((v107(VarCurr) | (~v108(VarCurr))) <=> (v107(VarCurr) | (~v108(VarCurr))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(331,plain,
% 37.16/23.62 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[330])).
% 37.16/23.62 tff(332,plain,
% 37.16/23.62 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(333,axiom,(![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 37.16/23.62 tff(334,plain,
% 37.16/23.62 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[333, 332])).
% 37.16/23.62 tff(335,plain,(
% 37.16/23.62 ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 37.16/23.62 inference(skolemize,[status(sab)],[334])).
% 37.16/23.62 tff(336,plain,
% 37.16/23.62 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[335, 331])).
% 37.16/23.62 tff(337,plain,
% 37.16/23.62 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB1) | (~v108(constB1)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB1) | (~v108(constB1)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(338,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB1) | (~v108(constB1)))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(339,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB1) | (~v108(constB1))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[338, 337])).
% 37.16/23.62 tff(340,plain,
% 37.16/23.62 (v107(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[339, 336, 329])).
% 37.16/23.62 tff(341,plain,
% 37.16/23.62 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(342,plain,
% 37.16/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[341])).
% 37.16/23.62 tff(343,plain,
% 37.16/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(344,plain,
% 37.16/23.62 (^[VarCurr: $i] : rewrite(((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(345,plain,
% 37.16/23.62 (![VarCurr: $i] : ((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[344])).
% 37.16/23.62 tff(346,axiom,(![VarCurr: $i] : ((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 37.16/23.62 tff(347,plain,
% 37.16/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[346, 345])).
% 37.16/23.62 tff(348,plain,
% 37.16/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[347, 343])).
% 37.16/23.62 tff(349,plain,(
% 37.16/23.62 ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 37.16/23.62 inference(skolemize,[status(sab)],[348])).
% 37.16/23.62 tff(350,plain,
% 37.16/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[349, 342])).
% 37.16/23.62 tff(351,plain,
% 37.16/23.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB1) | (~v107(constB1)) | v106(constB1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB1) | (~v107(constB1)) | v106(constB1))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(352,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB1) | (~v107(constB1)) | v106(constB1))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(353,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB1) | (~v107(constB1)) | v106(constB1)),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[352, 351])).
% 37.16/23.62 tff(354,plain,
% 37.16/23.62 (v26(constB1) | v106(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[353, 350, 340])).
% 37.16/23.62 tff(355,plain,
% 37.16/23.62 (v106(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[354, 159])).
% 37.16/23.62 tff(356,plain,
% 37.16/23.62 (^[VarCurr: $i] : refl((v102(VarCurr) | (~v106(VarCurr))) <=> (v102(VarCurr) | (~v106(VarCurr))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(357,plain,
% 37.16/23.62 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[356])).
% 37.16/23.62 tff(358,plain,
% 37.16/23.62 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(359,axiom,(![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 37.16/23.62 tff(360,plain,
% 37.16/23.62 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[359, 358])).
% 37.16/23.62 tff(361,plain,(
% 37.16/23.62 ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 37.16/23.62 inference(skolemize,[status(sab)],[360])).
% 37.16/23.62 tff(362,plain,
% 37.16/23.62 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[361, 357])).
% 37.16/23.62 tff(363,plain,
% 37.16/23.62 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB1) | (~v106(constB1)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB1) | (~v106(constB1)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(364,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB1) | (~v106(constB1)))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(365,plain,
% 37.16/23.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB1) | (~v106(constB1))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[364, 363])).
% 37.16/23.62 tff(366,plain,
% 37.16/23.62 (v102(constB1)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[365, 362, 355])).
% 37.16/23.62 tff(367,plain,
% 37.16/23.62 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(368,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 37.16/23.62 tff(369,plain,
% 37.16/23.62 (nextState(constB1, constB2)),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[368, 367])).
% 37.16/23.62 tff(370,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(371,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[370])).
% 37.16/23.62 tff(372,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(373,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : rewrite(((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(374,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[373])).
% 37.16/23.62 tff(375,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 37.16/23.62 tff(376,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[375, 374])).
% 37.16/23.62 tff(377,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[376, 372])).
% 37.16/23.62 tff(378,plain,(
% 37.16/23.62 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 37.16/23.62 inference(skolemize,[status(sab)],[377])).
% 37.16/23.62 tff(379,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[378, 371])).
% 37.16/23.62 tff(380,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(381,plain,
% 37.16/23.62 (((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2)) <=> ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(382,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1))))),
% 37.16/23.62 inference(monotonicity,[status(thm)],[381])).
% 37.16/23.62 tff(383,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 37.16/23.62 inference(transitivity,[status(thm)],[382, 380])).
% 37.16/23.62 tff(384,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(385,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[384, 383])).
% 37.16/23.62 tff(386,plain,
% 37.16/23.62 (v104(constB2) | (~v102(constB1))),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[385, 379, 369])).
% 37.16/23.62 tff(387,plain,
% 37.16/23.62 (v104(constB2)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[386, 366])).
% 37.16/23.62 tff(388,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(389,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[388])).
% 37.16/23.62 tff(390,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(391,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(392,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[391])).
% 37.16/23.62 tff(393,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 37.16/23.62 tff(394,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[393, 392])).
% 37.16/23.62 tff(395,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[394, 390])).
% 37.16/23.62 tff(396,plain,(
% 37.16/23.62 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 37.16/23.62 inference(skolemize,[status(sab)],[395])).
% 37.16/23.62 tff(397,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[396, 389])).
% 37.16/23.62 tff(398,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(399,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(400,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[399, 398])).
% 37.16/23.62 tff(401,plain,
% 37.16/23.62 (~v98(constB2)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[400, 397, 369, 162])).
% 37.16/23.62 tff(402,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(403,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[402])).
% 37.16/23.62 tff(404,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(405,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v98(VarNext) | v96(VarNext)) <=> (v96(VarNext) | v98(VarNext))), (((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v96(VarNext) | v98(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v96(VarNext) | v98(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))), (((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(406,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[405])).
% 37.16/23.62 tff(407,axiom,(![VarNext: $i, VarCurr: $i] : ((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 37.16/23.62 tff(408,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[407, 406])).
% 37.16/23.62 tff(409,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[408, 404])).
% 37.16/23.62 tff(410,plain,(
% 37.16/23.62 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 37.16/23.62 inference(skolemize,[status(sab)],[409])).
% 37.16/23.62 tff(411,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[410, 403])).
% 37.16/23.62 tff(412,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(413,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(414,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB1, constB2)) | v96(constB2) | v98(constB2)),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[413, 412])).
% 37.16/23.62 tff(415,plain,
% 37.16/23.62 (v96(constB2) | v98(constB2)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[414, 411, 369])).
% 37.16/23.62 tff(416,plain,
% 37.16/23.62 (v96(constB2)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[415, 401])).
% 37.16/23.62 tff(417,plain,
% 37.16/23.62 (v1(constB2) <=> v1(constB2)),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(418,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 37.16/23.62 tff(419,plain,
% 37.16/23.62 (v1(constB2)),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[418, 417])).
% 37.16/23.62 tff(420,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(421,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[420])).
% 37.16/23.62 tff(422,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(423,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) <=> (v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))), ((((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))), ((((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(424,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : (((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[423])).
% 37.16/23.62 tff(425,axiom,(![VarNext: $i, VarCurr: $i] : (((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 37.16/23.62 tff(426,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[425, 424])).
% 37.16/23.62 tff(427,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[426, 422])).
% 37.16/23.62 tff(428,plain,(
% 37.16/23.62 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 37.16/23.62 inference(skolemize,[status(sab)],[427])).
% 37.16/23.62 tff(429,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[428, 421])).
% 37.16/23.62 tff(430,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(431,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(432,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[431, 430])).
% 37.16/23.62 tff(433,plain,
% 37.16/23.62 (v95(constB2) | (~v96(constB2))),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[432, 429, 369, 419])).
% 37.16/23.62 tff(434,plain,
% 37.16/23.62 (v95(constB2)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[433, 416])).
% 37.16/23.62 tff(435,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(436,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[435])).
% 37.16/23.62 tff(437,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(438,plain,
% 37.16/23.62 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) <=> ((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))), ((((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))), ((((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(439,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : (((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[438])).
% 37.16/23.62 tff(440,axiom,(![VarNext: $i, VarCurr: $i] : (((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 37.16/23.62 tff(441,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[440, 439])).
% 37.16/23.62 tff(442,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[441, 437])).
% 37.16/23.62 tff(443,plain,(
% 37.16/23.62 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 37.16/23.62 inference(skolemize,[status(sab)],[442])).
% 37.16/23.62 tff(444,plain,
% 37.16/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[443, 436])).
% 37.16/23.62 tff(445,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(446,plain,
% 37.16/23.62 (((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2)) <=> ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(447,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2))))),
% 37.16/23.62 inference(monotonicity,[status(thm)],[446])).
% 37.16/23.62 tff(448,plain,
% 37.16/23.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 37.16/23.62 inference(transitivity,[status(thm)],[447, 445])).
% 37.16/23.62 tff(449,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(450,plain,
% 37.16/23.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[449, 448])).
% 37.16/23.62 tff(451,plain,
% 37.16/23.62 (v94(constB2) | (~v95(constB2)) | (~v104(constB2))),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[450, 444, 369])).
% 37.16/23.62 tff(452,plain,
% 37.16/23.62 (v94(constB2) | (~v104(constB2))),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[451, 434])).
% 37.16/23.62 tff(453,plain,
% 37.16/23.62 (v94(constB2)),
% 37.16/23.62 inference(unit_resolution,[status(thm)],[452, 387])).
% 37.16/23.62 tff(454,plain,
% 37.16/23.62 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v113(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(455,plain,
% 37.16/23.62 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[454])).
% 37.16/23.62 tff(456,plain,
% 37.16/23.62 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(457,plain,
% 37.16/23.62 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex2) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 37.16/23.62 inference(bind,[status(th)],[])).
% 37.16/23.62 tff(458,plain,
% 37.16/23.62 (![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.16/23.62 inference(quant_intro,[status(thm)],[457])).
% 37.16/23.62 tff(459,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v113(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_3')).
% 37.16/23.62 tff(460,plain,
% 37.16/23.62 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[459, 458])).
% 37.16/23.62 tff(461,plain,
% 37.16/23.62 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[460, 456])).
% 37.16/23.62 tff(462,plain,(
% 37.16/23.62 ![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.16/23.62 inference(skolemize,[status(sab)],[461])).
% 37.16/23.62 tff(463,plain,
% 37.16/23.62 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[462, 455])).
% 37.16/23.62 tff(464,plain,
% 37.16/23.62 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB1)) | v124(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB1)) | v124(constB1, bitIndex2))),
% 37.16/23.62 inference(rewrite,[status(thm)],[])).
% 37.16/23.62 tff(465,plain,
% 37.16/23.62 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB1)) | v124(constB1, bitIndex2))),
% 37.16/23.62 inference(quant_inst,[status(thm)],[])).
% 37.16/23.62 tff(466,plain,
% 37.16/23.62 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB1)) | v124(constB1, bitIndex2)),
% 37.16/23.62 inference(modus_ponens,[status(thm)],[465, 464])).
% 37.16/23.62 tff(467,plain,
% 37.16/23.62 (v124(constB1, bitIndex2)),
% 37.25/23.62 inference(unit_resolution,[status(thm)],[466, 463, 274])).
% 37.25/23.62 tff(468,plain,
% 37.25/23.62 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)))),
% 37.25/23.62 inference(bind,[status(th)],[])).
% 37.25/23.62 tff(469,plain,
% 37.25/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 37.25/23.62 inference(quant_intro,[status(thm)],[468])).
% 37.25/23.62 tff(470,plain,
% 37.25/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 37.25/23.62 inference(rewrite,[status(thm)],[])).
% 37.25/23.62 tff(471,plain,
% 37.25/23.62 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) <=> ((~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))), (((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (((~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) | v26(VarCurr)))), rewrite((((~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))), (((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))))),
% 37.25/23.62 inference(bind,[status(th)],[])).
% 37.25/23.62 tff(472,plain,
% 37.25/23.62 (![VarCurr: $i] : ((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 37.25/23.62 inference(quant_intro,[status(thm)],[471])).
% 37.25/23.62 tff(473,axiom,(![VarCurr: $i] : ((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 37.25/23.62 tff(474,plain,
% 37.25/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 37.25/23.62 inference(modus_ponens,[status(thm)],[473, 472])).
% 37.25/23.62 tff(475,plain,
% 37.25/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 37.25/23.62 inference(modus_ponens,[status(thm)],[474, 470])).
% 37.25/23.62 tff(476,plain,(
% 37.25/23.62 ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 37.25/23.62 inference(skolemize,[status(sab)],[475])).
% 37.25/23.62 tff(477,plain,
% 37.25/23.62 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 37.25/23.62 inference(modus_ponens,[status(thm)],[476, 469])).
% 37.25/23.62 tff(478,plain,
% 37.25/23.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB1) | (~v124(constB1, bitIndex2)) | v121(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB1) | (~v124(constB1, bitIndex2)) | v121(constB1, bitIndex2))),
% 37.25/23.62 inference(rewrite,[status(thm)],[])).
% 37.25/23.62 tff(479,plain,
% 37.25/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB1) | (~v124(constB1, bitIndex2)) | v121(constB1, bitIndex2))),
% 37.25/23.62 inference(quant_inst,[status(thm)],[])).
% 37.25/23.62 tff(480,plain,
% 37.25/23.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB1) | (~v124(constB1, bitIndex2)) | v121(constB1, bitIndex2)),
% 37.25/23.62 inference(modus_ponens,[status(thm)],[479, 478])).
% 37.25/23.62 tff(481,plain,
% 37.25/23.62 (v26(constB1) | v121(constB1, bitIndex2)),
% 37.25/23.62 inference(unit_resolution,[status(thm)],[480, 477, 467])).
% 37.25/23.62 tff(482,plain,
% 37.25/23.62 (v121(constB1, bitIndex2)),
% 37.25/23.62 inference(unit_resolution,[status(thm)],[481, 159])).
% 37.25/23.62 tff(483,plain,
% 37.25/23.62 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)))),
% 37.25/23.62 inference(bind,[status(th)],[])).
% 37.25/23.62 tff(484,plain,
% 37.25/23.62 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[483])).
% 37.25/23.63 tff(485,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(486,plain,
% 37.25/23.63 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ((~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))), (((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> (((~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))), (((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(487,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[486])).
% 37.25/23.63 tff(488,axiom,(![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 37.25/23.63 tff(489,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[488, 487])).
% 37.25/23.63 tff(490,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[489, 485])).
% 37.25/23.63 tff(491,plain,(
% 37.25/23.63 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 37.25/23.63 inference(skolemize,[status(sab)],[490])).
% 37.25/23.63 tff(492,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[491, 484])).
% 37.25/23.63 tff(493,plain,
% 37.25/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(494,plain,
% 37.25/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2))),
% 37.25/23.63 inference(quant_inst,[status(thm)],[])).
% 37.25/23.63 tff(495,plain,
% 37.25/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2)),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[494, 493])).
% 37.25/23.63 tff(496,plain,
% 37.25/23.63 ((~v121(constB1, bitIndex2)) | v123(constB2, bitIndex2)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[495, 492, 369])).
% 37.25/23.63 tff(497,plain,
% 37.25/23.63 (v123(constB2, bitIndex2)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[496, 482])).
% 37.25/23.63 tff(498,plain,
% 37.25/23.63 (^[VarNext: $i] : refl((v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(499,plain,
% 37.25/23.63 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[498])).
% 37.25/23.63 tff(500,plain,
% 37.25/23.63 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(501,plain,
% 37.25/23.63 (^[VarNext: $i] : trans(monotonicity(rewrite((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> (v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2)))), (((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))) <=> ((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))))), rewrite(((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))), (((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(502,plain,
% 37.25/23.63 (![VarNext: $i] : ((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[501])).
% 37.25/23.63 tff(503,axiom,(![VarNext: $i] : ((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 37.25/23.63 tff(504,plain,
% 37.25/23.63 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[503, 502])).
% 37.25/23.63 tff(505,plain,
% 37.25/23.63 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[504, 500])).
% 37.25/23.63 tff(506,plain,(
% 37.25/23.63 ![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 37.25/23.63 inference(skolemize,[status(sab)],[505])).
% 37.25/23.63 tff(507,plain,
% 37.25/23.63 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[506, 499])).
% 37.25/23.63 tff(508,plain,
% 37.25/23.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(509,plain,
% 37.25/23.63 ((v84(constB2, bitIndex2) | (~v94(constB2)) | (~v123(constB2, bitIndex2))) <=> (v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(510,plain,
% 37.25/23.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v94(constB2)) | (~v123(constB2, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2))))),
% 37.25/23.63 inference(monotonicity,[status(thm)],[509])).
% 37.25/23.63 tff(511,plain,
% 37.25/23.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v94(constB2)) | (~v123(constB2, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2)))),
% 37.25/23.63 inference(transitivity,[status(thm)],[510, 508])).
% 37.25/23.63 tff(512,plain,
% 37.25/23.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~v94(constB2)) | (~v123(constB2, bitIndex2)))),
% 37.25/23.63 inference(quant_inst,[status(thm)],[])).
% 37.25/23.63 tff(513,plain,
% 37.25/23.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~v123(constB2, bitIndex2)) | (~v94(constB2))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[512, 511])).
% 37.25/23.63 tff(514,plain,
% 37.25/23.63 (v84(constB2, bitIndex2) | (~v94(constB2))),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[513, 507, 497])).
% 37.25/23.63 tff(515,plain,
% 37.25/23.63 (v84(constB2, bitIndex2)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[514, 453])).
% 37.25/23.63 tff(516,plain,
% 37.25/23.63 ((~v1(constB3)) <=> (~v1(constB3))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(517,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 37.25/23.63 tff(518,plain,
% 37.25/23.63 (~v1(constB3)),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[517, 516])).
% 37.25/23.63 tff(519,plain,
% 37.25/23.63 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(520,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 37.25/23.63 tff(521,plain,
% 37.25/23.63 (nextState(constB2, constB3)),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[520, 519])).
% 37.25/23.63 tff(522,plain,
% 37.25/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(523,plain,
% 37.25/23.63 (((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(524,plain,
% 37.25/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3))))),
% 37.25/23.63 inference(monotonicity,[status(thm)],[523])).
% 37.25/23.63 tff(525,plain,
% 37.25/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 37.25/23.63 inference(transitivity,[status(thm)],[524, 522])).
% 37.25/23.63 tff(526,plain,
% 37.25/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))),
% 37.25/23.63 inference(quant_inst,[status(thm)],[])).
% 37.25/23.63 tff(527,plain,
% 37.25/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[526, 525])).
% 37.25/23.63 tff(528,plain,
% 37.25/23.63 (~v95(constB3)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[527, 175, 521, 518])).
% 37.25/23.63 tff(529,plain,
% 37.25/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(530,plain,
% 37.25/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))),
% 37.25/23.63 inference(quant_inst,[status(thm)],[])).
% 37.25/23.63 tff(531,plain,
% 37.25/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[530, 529])).
% 37.25/23.63 tff(532,plain,
% 37.25/23.63 (v95(constB3) | (~v94(constB3))),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[531, 192, 521])).
% 37.25/23.63 tff(533,plain,
% 37.25/23.63 (~v94(constB3)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[532, 528])).
% 37.25/23.63 tff(534,plain,
% 37.25/23.63 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(535,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[534])).
% 37.25/23.63 tff(536,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(537,plain,
% 37.25/23.63 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) <=> ((~v84(VarCurr, bitIndex2)) | v84(VarNext, bitIndex2))), (((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) <=> (((~v84(VarCurr, bitIndex2)) | v84(VarNext, bitIndex2)) | v94(VarNext)))), rewrite((((~v84(VarCurr, bitIndex2)) | v84(VarNext, bitIndex2)) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))), (((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)))), ((((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))), ((((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(538,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[537])).
% 37.25/23.63 tff(539,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 37.25/23.63 tff(540,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[539, 538])).
% 37.25/23.63 tff(541,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[540, 536])).
% 37.25/23.63 tff(542,plain,(
% 37.25/23.63 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 37.25/23.63 inference(skolemize,[status(sab)],[541])).
% 37.25/23.63 tff(543,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[542, 535])).
% 37.25/23.63 tff(544,plain,
% 37.25/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(545,plain,
% 37.25/23.63 (((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2)) <=> ((~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(546,plain,
% 37.25/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2)))),
% 37.25/23.63 inference(monotonicity,[status(thm)],[545])).
% 37.25/23.63 tff(547,plain,
% 37.25/23.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2))),
% 37.25/23.63 inference(transitivity,[status(thm)],[546, 544])).
% 37.25/23.63 tff(548,plain,
% 37.25/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2))),
% 37.25/23.63 inference(quant_inst,[status(thm)],[])).
% 37.25/23.63 tff(549,plain,
% 37.25/23.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex2)),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[548, 547])).
% 37.25/23.63 tff(550,plain,
% 37.25/23.63 ((~v84(constB2, bitIndex2)) | v94(constB3) | v84(constB3, bitIndex2)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[549, 543, 521])).
% 37.25/23.63 tff(551,plain,
% 37.25/23.63 ((~v84(constB2, bitIndex2)) | v84(constB3, bitIndex2)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[550, 533])).
% 37.25/23.63 tff(552,plain,
% 37.25/23.63 (v84(constB3, bitIndex2)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[551, 515])).
% 37.25/23.63 tff(553,plain,
% 37.25/23.63 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(554,plain,
% 37.25/23.63 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[553])).
% 37.25/23.63 tff(555,plain,
% 37.25/23.63 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(556,plain,
% 37.25/23.63 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(557,plain,
% 37.25/23.63 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[556])).
% 37.25/23.63 tff(558,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v113(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_2')).
% 37.25/23.63 tff(559,plain,
% 37.25/23.63 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[558, 557])).
% 37.25/23.63 tff(560,plain,
% 37.25/23.63 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[559, 555])).
% 37.25/23.63 tff(561,plain,(
% 37.25/23.63 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(skolemize,[status(sab)],[560])).
% 37.25/23.63 tff(562,plain,
% 37.25/23.63 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[561, 554])).
% 37.25/23.63 tff(563,plain,
% 37.25/23.63 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB1)) | (~v124(constB1, bitIndex1)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(564,plain,
% 37.25/23.63 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex1)))),
% 37.25/23.63 inference(quant_inst,[status(thm)],[])).
% 37.25/23.63 tff(565,plain,
% 37.25/23.63 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB1)) | (~v124(constB1, bitIndex1))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[564, 563])).
% 37.25/23.63 tff(566,plain,
% 37.25/23.63 (~v124(constB1, bitIndex1)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[565, 562, 274])).
% 37.25/23.63 tff(567,plain,
% 37.25/23.63 (^[VarCurr: $i] : refl((v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(568,plain,
% 37.25/23.63 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[567])).
% 37.25/23.63 tff(569,plain,
% 37.25/23.63 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(570,plain,
% 37.25/23.63 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> (v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))), (((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)))), rewrite(((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))), (((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(571,plain,
% 37.25/23.63 (![VarCurr: $i] : ((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[570])).
% 37.25/23.63 tff(572,axiom,(![VarCurr: $i] : ((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 37.25/23.63 tff(573,plain,
% 37.25/23.63 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[572, 571])).
% 37.25/23.63 tff(574,plain,
% 37.25/23.63 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[573, 569])).
% 37.25/23.63 tff(575,plain,(
% 37.25/23.63 ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(skolemize,[status(sab)],[574])).
% 37.25/23.63 tff(576,plain,
% 37.25/23.63 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[575, 568])).
% 37.25/23.63 tff(577,plain,
% 37.25/23.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(578,plain,
% 37.25/23.63 ((v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1))) <=> ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(579,plain,
% 37.25/23.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1)))),
% 37.25/23.63 inference(monotonicity,[status(thm)],[578])).
% 37.25/23.63 tff(580,plain,
% 37.25/23.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 37.25/23.63 inference(transitivity,[status(thm)],[579, 577])).
% 37.25/23.63 tff(581,plain,
% 37.25/23.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))),
% 37.25/23.63 inference(quant_inst,[status(thm)],[])).
% 37.25/23.63 tff(582,plain,
% 37.25/23.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1)),
% 37.25/23.63 inference(modus_ponens,[status(thm)],[581, 580])).
% 37.25/23.63 tff(583,plain,
% 37.25/23.63 ((~v121(constB1, bitIndex1)) | v26(constB1)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[582, 576, 566])).
% 37.25/23.63 tff(584,plain,
% 37.25/23.63 (~v121(constB1, bitIndex1)),
% 37.25/23.63 inference(unit_resolution,[status(thm)],[583, 159])).
% 37.25/23.63 tff(585,plain,
% 37.25/23.63 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(586,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[585])).
% 37.25/23.63 tff(587,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.63 inference(rewrite,[status(thm)],[])).
% 37.25/23.63 tff(588,plain,
% 37.25/23.63 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> (v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))), (((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))), (((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))))),
% 37.25/23.63 inference(bind,[status(th)],[])).
% 37.25/23.63 tff(589,plain,
% 37.25/23.63 (![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.63 inference(quant_intro,[status(thm)],[588])).
% 37.25/23.63 tff(590,axiom,(![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 37.25/23.64 tff(591,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[590, 589])).
% 37.25/23.64 tff(592,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[591, 587])).
% 37.25/23.64 tff(593,plain,(
% 37.25/23.64 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.64 inference(skolemize,[status(sab)],[592])).
% 37.25/23.64 tff(594,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[593, 586])).
% 37.25/23.64 tff(595,plain,
% 37.25/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(596,plain,
% 37.25/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))),
% 37.25/23.64 inference(quant_inst,[status(thm)],[])).
% 37.25/23.64 tff(597,plain,
% 37.25/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[596, 595])).
% 37.25/23.64 tff(598,plain,
% 37.25/23.64 (v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1))),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[597, 594, 369])).
% 37.25/23.64 tff(599,plain,
% 37.25/23.64 (~v123(constB2, bitIndex1)),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[598, 584])).
% 37.25/23.64 tff(600,plain,
% 37.25/23.64 (^[VarNext: $i] : refl(((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(601,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[600])).
% 37.25/23.64 tff(602,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(603,plain,
% 37.25/23.64 (^[VarNext: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) <=> ((~v84(VarNext, bitIndex1)) | v123(VarNext, bitIndex1))), (((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) | (~v94(VarNext))) <=> (((~v84(VarNext, bitIndex1)) | v123(VarNext, bitIndex1)) | (~v94(VarNext))))), rewrite((((~v84(VarNext, bitIndex1)) | v123(VarNext, bitIndex1)) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))), (((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(604,plain,
% 37.25/23.64 (![VarNext: $i] : ((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) | (~v94(VarNext))) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[603])).
% 37.25/23.64 tff(605,axiom,(![VarNext: $i] : ((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) | (~v94(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 37.25/23.64 tff(606,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[605, 604])).
% 37.25/23.64 tff(607,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[606, 602])).
% 37.25/23.64 tff(608,plain,(
% 37.25/23.64 ![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 37.25/23.64 inference(skolemize,[status(sab)],[607])).
% 37.25/23.64 tff(609,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[608, 601])).
% 37.25/23.64 tff(610,plain,
% 37.25/23.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(611,plain,
% 37.25/23.64 (((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1)) <=> ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(612,plain,
% 37.25/23.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2))))),
% 37.25/23.64 inference(monotonicity,[status(thm)],[611])).
% 37.25/23.64 tff(613,plain,
% 37.25/23.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 37.25/23.64 inference(transitivity,[status(thm)],[612, 610])).
% 37.25/23.64 tff(614,plain,
% 37.25/23.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))),
% 37.25/23.64 inference(quant_inst,[status(thm)],[])).
% 37.25/23.64 tff(615,plain,
% 37.25/23.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[614, 613])).
% 37.25/23.64 tff(616,plain,
% 37.25/23.64 ((~v84(constB2, bitIndex1)) | (~v94(constB2))),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[615, 609, 599])).
% 37.25/23.64 tff(617,plain,
% 37.25/23.64 (~v84(constB2, bitIndex1)),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[616, 453])).
% 37.25/23.64 tff(618,plain,
% 37.25/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(619,plain,
% 37.25/23.64 (((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1))) <=> (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(620,plain,
% 37.25/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1))))),
% 37.25/23.64 inference(monotonicity,[status(thm)],[619])).
% 37.25/23.64 tff(621,plain,
% 37.25/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 37.25/23.64 inference(transitivity,[status(thm)],[620, 618])).
% 37.25/23.64 tff(622,plain,
% 37.25/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 37.25/23.64 inference(quant_inst,[status(thm)],[])).
% 37.25/23.64 tff(623,plain,
% 37.25/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[622, 621])).
% 37.25/23.64 tff(624,plain,
% 37.25/23.64 (v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1))),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[623, 228, 521])).
% 37.25/23.64 tff(625,plain,
% 37.25/23.64 (v84(constB2, bitIndex1) | (~v84(constB3, bitIndex1))),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[624, 533])).
% 37.25/23.64 tff(626,plain,
% 37.25/23.64 (~v84(constB3, bitIndex1)),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[625, 617])).
% 37.25/23.64 tff(627,plain,
% 37.25/23.64 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(628,plain,
% 37.25/23.64 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[627])).
% 37.25/23.64 tff(629,plain,
% 37.25/23.64 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(630,plain,
% 37.25/23.64 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(631,plain,
% 37.25/23.64 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[630])).
% 37.25/23.64 tff(632,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v113(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_1')).
% 37.25/23.64 tff(633,plain,
% 37.25/23.64 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[632, 631])).
% 37.25/23.64 tff(634,plain,
% 37.25/23.64 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[633, 629])).
% 37.25/23.64 tff(635,plain,(
% 37.25/23.64 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(skolemize,[status(sab)],[634])).
% 37.25/23.64 tff(636,plain,
% 37.25/23.64 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[635, 628])).
% 37.25/23.64 tff(637,plain,
% 37.25/23.64 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB1)) | (~v124(constB1, bitIndex0)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(638,plain,
% 37.25/23.64 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex0)))),
% 37.25/23.64 inference(quant_inst,[status(thm)],[])).
% 37.25/23.64 tff(639,plain,
% 37.25/23.64 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB1)) | (~v124(constB1, bitIndex0))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[638, 637])).
% 37.25/23.64 tff(640,plain,
% 37.25/23.64 (~v124(constB1, bitIndex0)),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[639, 636, 274])).
% 37.25/23.64 tff(641,plain,
% 37.25/23.64 (^[VarCurr: $i] : refl((v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(642,plain,
% 37.25/23.64 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[641])).
% 37.25/23.64 tff(643,plain,
% 37.25/23.64 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(644,plain,
% 37.25/23.64 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> (v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))), (((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)))), rewrite(((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))), (((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(645,plain,
% 37.25/23.64 (![VarCurr: $i] : ((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[644])).
% 37.25/23.64 tff(646,axiom,(![VarCurr: $i] : ((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 37.25/23.64 tff(647,plain,
% 37.25/23.64 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[646, 645])).
% 37.25/23.64 tff(648,plain,
% 37.25/23.64 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[647, 643])).
% 37.25/23.64 tff(649,plain,(
% 37.25/23.64 ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(skolemize,[status(sab)],[648])).
% 37.25/23.64 tff(650,plain,
% 37.25/23.64 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[649, 642])).
% 37.25/23.64 tff(651,plain,
% 37.25/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(652,plain,
% 37.25/23.64 ((v26(constB1) | v124(constB1, bitIndex0) | (~v121(constB1, bitIndex0))) <=> ((~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(653,plain,
% 37.25/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB1) | v124(constB1, bitIndex0) | (~v121(constB1, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0)))),
% 37.25/23.64 inference(monotonicity,[status(thm)],[652])).
% 37.25/23.64 tff(654,plain,
% 37.25/23.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB1) | v124(constB1, bitIndex0) | (~v121(constB1, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0))),
% 37.25/23.64 inference(transitivity,[status(thm)],[653, 651])).
% 37.25/23.64 tff(655,plain,
% 37.25/23.64 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB1) | v124(constB1, bitIndex0) | (~v121(constB1, bitIndex0)))),
% 37.25/23.64 inference(quant_inst,[status(thm)],[])).
% 37.25/23.64 tff(656,plain,
% 37.25/23.64 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB1, bitIndex0)) | v26(constB1) | v124(constB1, bitIndex0)),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[655, 654])).
% 37.25/23.64 tff(657,plain,
% 37.25/23.64 ((~v121(constB1, bitIndex0)) | v26(constB1)),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[656, 650, 640])).
% 37.25/23.64 tff(658,plain,
% 37.25/23.64 (~v121(constB1, bitIndex0)),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[657, 159])).
% 37.25/23.64 tff(659,plain,
% 37.25/23.64 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(660,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[659])).
% 37.25/23.64 tff(661,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(662,plain,
% 37.25/23.64 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> (v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))), (((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))), (((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(663,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[662])).
% 37.25/23.64 tff(664,axiom,(![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 37.25/23.64 tff(665,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[664, 663])).
% 37.25/23.64 tff(666,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[665, 661])).
% 37.25/23.64 tff(667,plain,(
% 37.25/23.64 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 37.25/23.64 inference(skolemize,[status(sab)],[666])).
% 37.25/23.64 tff(668,plain,
% 37.25/23.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[667, 660])).
% 37.25/23.64 tff(669,plain,
% 37.25/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(670,plain,
% 37.25/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0)))),
% 37.25/23.64 inference(quant_inst,[status(thm)],[])).
% 37.25/23.64 tff(671,plain,
% 37.25/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[670, 669])).
% 37.25/23.64 tff(672,plain,
% 37.25/23.64 (v121(constB1, bitIndex0) | (~v123(constB2, bitIndex0))),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[671, 668, 369])).
% 37.25/23.64 tff(673,plain,
% 37.25/23.64 (~v123(constB2, bitIndex0)),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[672, 658])).
% 37.25/23.64 tff(674,plain,
% 37.25/23.64 (^[VarNext: $i] : refl(((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(675,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[674])).
% 37.25/23.64 tff(676,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(677,plain,
% 37.25/23.64 (^[VarNext: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) <=> ((~v84(VarNext, bitIndex0)) | v123(VarNext, bitIndex0))), (((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) | (~v94(VarNext))) <=> (((~v84(VarNext, bitIndex0)) | v123(VarNext, bitIndex0)) | (~v94(VarNext))))), rewrite((((~v84(VarNext, bitIndex0)) | v123(VarNext, bitIndex0)) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))), (((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))))),
% 37.25/23.64 inference(bind,[status(th)],[])).
% 37.25/23.64 tff(678,plain,
% 37.25/23.64 (![VarNext: $i] : ((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) | (~v94(VarNext))) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 37.25/23.64 inference(quant_intro,[status(thm)],[677])).
% 37.25/23.64 tff(679,axiom,(![VarNext: $i] : ((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) | (~v94(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 37.25/23.64 tff(680,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[679, 678])).
% 37.25/23.64 tff(681,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[680, 676])).
% 37.25/23.64 tff(682,plain,(
% 37.25/23.64 ![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 37.25/23.64 inference(skolemize,[status(sab)],[681])).
% 37.25/23.64 tff(683,plain,
% 37.25/23.64 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[682, 675])).
% 37.25/23.64 tff(684,plain,
% 37.25/23.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(685,plain,
% 37.25/23.64 (((~v84(constB2, bitIndex0)) | (~v94(constB2)) | v123(constB2, bitIndex0)) <=> ((~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(686,plain,
% 37.25/23.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~v94(constB2)) | v123(constB2, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2))))),
% 37.25/23.64 inference(monotonicity,[status(thm)],[685])).
% 37.25/23.64 tff(687,plain,
% 37.25/23.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~v94(constB2)) | v123(constB2, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2)))),
% 37.25/23.64 inference(transitivity,[status(thm)],[686, 684])).
% 37.25/23.64 tff(688,plain,
% 37.25/23.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~v94(constB2)) | v123(constB2, bitIndex0))),
% 37.25/23.64 inference(quant_inst,[status(thm)],[])).
% 37.25/23.64 tff(689,plain,
% 37.25/23.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | v123(constB2, bitIndex0) | (~v94(constB2))),
% 37.25/23.64 inference(modus_ponens,[status(thm)],[688, 687])).
% 37.25/23.64 tff(690,plain,
% 37.25/23.64 ((~v84(constB2, bitIndex0)) | (~v94(constB2))),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[689, 683, 673])).
% 37.25/23.64 tff(691,plain,
% 37.25/23.64 (~v84(constB2, bitIndex0)),
% 37.25/23.64 inference(unit_resolution,[status(thm)],[690, 453])).
% 37.25/23.64 tff(692,plain,
% 37.25/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(693,plain,
% 37.25/23.64 (((~nextState(constB2, constB3)) | v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0))) <=> (v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0)))),
% 37.25/23.64 inference(rewrite,[status(thm)],[])).
% 37.25/23.64 tff(694,plain,
% 37.25/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0))))),
% 37.25/23.64 inference(monotonicity,[status(thm)],[693])).
% 37.25/23.64 tff(695,plain,
% 37.25/23.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0)))),
% 37.25/23.64 inference(transitivity,[status(thm)],[694, 692])).
% 37.25/23.64 tff(696,plain,
% 37.25/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0)))),
% 37.25/23.64 inference(quant_inst,[status(thm)],[])).
% 37.25/23.64 tff(697,plain,
% 37.25/23.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex0))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[696, 695])).
% 37.25/23.65 tff(698,plain,
% 37.25/23.65 (v84(constB2, bitIndex0) | v94(constB3) | (~v84(constB3, bitIndex0))),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[697, 249, 521])).
% 37.25/23.65 tff(699,plain,
% 37.25/23.65 (v84(constB2, bitIndex0) | (~v84(constB3, bitIndex0))),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[698, 533])).
% 37.25/23.65 tff(700,plain,
% 37.25/23.65 (~v84(constB3, bitIndex0)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[699, 691])).
% 37.25/23.65 tff(701,plain,
% 37.25/23.65 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)))),
% 37.25/23.65 inference(bind,[status(th)],[])).
% 37.25/23.65 tff(702,plain,
% 37.25/23.65 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 37.25/23.65 inference(quant_intro,[status(thm)],[701])).
% 37.25/23.65 tff(703,plain,
% 37.25/23.65 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(704,plain,
% 37.25/23.65 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) <=> (v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))), ((((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite(((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))), ((((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))))),
% 37.25/23.65 inference(bind,[status(th)],[])).
% 37.25/23.65 tff(705,plain,
% 37.25/23.65 (![VarCurr: $i] : (((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 37.25/23.65 inference(quant_intro,[status(thm)],[704])).
% 37.25/23.65 tff(706,axiom,(![VarCurr: $i] : (((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 37.25/23.65 tff(707,plain,
% 37.25/23.65 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[706, 705])).
% 37.25/23.65 tff(708,plain,
% 37.25/23.65 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[707, 703])).
% 37.25/23.65 tff(709,plain,(
% 37.25/23.65 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 37.25/23.65 inference(skolemize,[status(sab)],[708])).
% 37.25/23.65 tff(710,plain,
% 37.25/23.65 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[709, 702])).
% 37.25/23.65 tff(711,plain,
% 37.25/23.65 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB3, bitIndex0) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex2)) | v172(constB3))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB3, bitIndex0) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex2)) | v172(constB3))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(712,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB3, bitIndex0) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex2)) | v172(constB3))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(713,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB3, bitIndex0) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex2)) | v172(constB3)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[712, 711])).
% 37.25/23.65 tff(714,plain,
% 37.25/23.65 (v172(constB3)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[713, 710, 700, 626, 552])).
% 37.25/23.65 tff(715,plain,
% 37.25/23.65 (^[VarCurr: $i] : refl(((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 37.25/23.65 inference(bind,[status(th)],[])).
% 37.25/23.65 tff(716,plain,
% 37.25/23.65 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.25/23.65 inference(quant_intro,[status(thm)],[715])).
% 37.25/23.65 tff(717,plain,
% 37.25/23.65 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(718,plain,
% 37.25/23.65 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 37.25/23.65 inference(bind,[status(th)],[])).
% 37.25/23.65 tff(719,plain,
% 37.25/23.65 (![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.25/23.65 inference(quant_intro,[status(thm)],[718])).
% 37.25/23.65 tff(720,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v172(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_3')).
% 37.25/23.65 tff(721,plain,
% 37.25/23.65 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[720, 719])).
% 37.25/23.65 tff(722,plain,
% 37.25/23.65 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[721, 717])).
% 37.25/23.65 tff(723,plain,(
% 37.25/23.65 ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.25/23.65 inference(skolemize,[status(sab)],[722])).
% 37.25/23.65 tff(724,plain,
% 37.25/23.65 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[723, 716])).
% 37.25/23.65 tff(725,plain,
% 37.25/23.65 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB3)) | v124(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB3)) | v124(constB3, bitIndex2))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(726,plain,
% 37.25/23.65 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB3)) | v124(constB3, bitIndex2))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(727,plain,
% 37.25/23.65 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB3)) | v124(constB3, bitIndex2)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[726, 725])).
% 37.25/23.65 tff(728,plain,
% 37.25/23.65 (v124(constB3, bitIndex2)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[727, 724, 714])).
% 37.25/23.65 tff(729,plain,
% 37.25/23.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB3) | (~v124(constB3, bitIndex2)) | v121(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB3) | (~v124(constB3, bitIndex2)) | v121(constB3, bitIndex2))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(730,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB3) | (~v124(constB3, bitIndex2)) | v121(constB3, bitIndex2))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(731,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB3) | (~v124(constB3, bitIndex2)) | v121(constB3, bitIndex2)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[730, 729])).
% 37.25/23.65 tff(732,plain,
% 37.25/23.65 (v26(constB3) | v121(constB3, bitIndex2)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[731, 477, 728])).
% 37.25/23.65 tff(733,plain,
% 37.25/23.65 (v121(constB3, bitIndex2)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[732, 155])).
% 37.25/23.65 tff(734,plain,
% 37.25/23.65 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(735,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 37.25/23.65 tff(736,plain,
% 37.25/23.65 (nextState(constB3, constB4)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[735, 734])).
% 37.25/23.65 tff(737,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(738,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(739,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[738, 737])).
% 37.25/23.65 tff(740,plain,
% 37.25/23.65 ((~v121(constB3, bitIndex2)) | v123(constB4, bitIndex2)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[739, 492, 736])).
% 37.25/23.65 tff(741,plain,
% 37.25/23.65 (v123(constB4, bitIndex2)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[740, 733])).
% 37.25/23.65 tff(742,assumption,(~v102(constB3)), introduced(assumption)).
% 37.25/23.65 tff(743,plain,
% 37.25/23.65 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB3) | (~v106(constB3)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB3) | (~v106(constB3)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(744,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB3) | (~v106(constB3)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(745,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB3) | (~v106(constB3))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[744, 743])).
% 37.25/23.65 tff(746,plain,
% 37.25/23.65 (~v106(constB3)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[745, 362, 742])).
% 37.25/23.65 tff(747,plain,
% 37.25/23.65 (^[VarCurr: $i] : refl((v102(VarCurr) | (~v26(VarCurr))) <=> (v102(VarCurr) | (~v26(VarCurr))))),
% 37.25/23.65 inference(bind,[status(th)],[])).
% 37.25/23.65 tff(748,plain,
% 37.25/23.65 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 37.25/23.65 inference(quant_intro,[status(thm)],[747])).
% 37.25/23.65 tff(749,plain,
% 37.25/23.65 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(750,axiom,(![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 37.25/23.65 tff(751,plain,
% 37.25/23.65 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[750, 749])).
% 37.25/23.65 tff(752,plain,(
% 37.25/23.65 ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 37.25/23.65 inference(skolemize,[status(sab)],[751])).
% 37.25/23.65 tff(753,plain,
% 37.25/23.65 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[752, 748])).
% 37.25/23.65 tff(754,plain,
% 37.25/23.65 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB3) | (~v26(constB3)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB3) | (~v26(constB3)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(755,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB3) | (~v26(constB3)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(756,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB3) | (~v26(constB3))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[755, 754])).
% 37.25/23.65 tff(757,plain,
% 37.25/23.65 (~v26(constB3)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[756, 753, 742])).
% 37.25/23.65 tff(758,plain,
% 37.25/23.65 (^[VarCurr: $i] : refl((v109(VarCurr) | (~v172(VarCurr))) <=> (v109(VarCurr) | (~v172(VarCurr))))),
% 37.25/23.65 inference(bind,[status(th)],[])).
% 37.25/23.65 tff(759,plain,
% 37.25/23.65 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 37.25/23.65 inference(quant_intro,[status(thm)],[758])).
% 37.25/23.65 tff(760,plain,
% 37.25/23.65 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(761,axiom,(![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_1')).
% 37.25/23.65 tff(762,plain,
% 37.25/23.65 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[761, 760])).
% 37.25/23.65 tff(763,plain,(
% 37.25/23.65 ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 37.25/23.65 inference(skolemize,[status(sab)],[762])).
% 37.25/23.65 tff(764,plain,
% 37.25/23.65 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[763, 759])).
% 37.25/23.65 tff(765,plain,
% 37.25/23.65 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB3) | (~v172(constB3)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB3) | (~v172(constB3)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(766,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB3) | (~v172(constB3)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(767,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB3) | (~v172(constB3))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[766, 765])).
% 37.25/23.65 tff(768,plain,
% 37.25/23.65 (v109(constB3)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[767, 764, 714])).
% 37.25/23.65 tff(769,plain,
% 37.25/23.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB3) | (~v109(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB3) | (~v109(constB3)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(770,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB3) | (~v109(constB3)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(771,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB3) | (~v109(constB3))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[770, 769])).
% 37.25/23.65 tff(772,plain,
% 37.25/23.65 (v108(constB3)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[771, 325, 768])).
% 37.25/23.65 tff(773,plain,
% 37.25/23.65 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB3) | (~v108(constB3)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB3) | (~v108(constB3)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(774,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB3) | (~v108(constB3)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(775,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB3) | (~v108(constB3))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[774, 773])).
% 37.25/23.65 tff(776,plain,
% 37.25/23.65 (v107(constB3)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[775, 336, 772])).
% 37.25/23.65 tff(777,plain,
% 37.25/23.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | (~v107(constB3)) | v106(constB3))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(778,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(779,plain,
% 37.25/23.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | (~v107(constB3)) | v106(constB3)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[778, 777])).
% 37.25/23.65 tff(780,plain,
% 37.25/23.65 (v26(constB3) | v106(constB3)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[779, 350, 776])).
% 37.25/23.65 tff(781,plain,
% 37.25/23.65 ($false),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[780, 757, 746])).
% 37.25/23.65 tff(782,plain,(v102(constB3)), inference(lemma,lemma(discharge,[]))).
% 37.25/23.65 tff(783,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(784,plain,
% 37.25/23.65 (((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4)) <=> ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(785,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3))))),
% 37.25/23.65 inference(monotonicity,[status(thm)],[784])).
% 37.25/23.65 tff(786,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 37.25/23.65 inference(transitivity,[status(thm)],[785, 783])).
% 37.25/23.65 tff(787,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(788,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[787, 786])).
% 37.25/23.65 tff(789,plain,
% 37.25/23.65 (v104(constB4) | (~v102(constB3))),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[788, 379, 736])).
% 37.25/23.65 tff(790,plain,
% 37.25/23.65 (v104(constB4)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[789, 782])).
% 37.25/23.65 tff(791,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(792,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(793,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[792, 791])).
% 37.25/23.65 tff(794,plain,
% 37.25/23.65 (~v98(constB4)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[793, 397, 736, 518])).
% 37.25/23.65 tff(795,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(796,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(797,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB3, constB4)) | v96(constB4) | v98(constB4)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[796, 795])).
% 37.25/23.65 tff(798,plain,
% 37.25/23.65 (v96(constB4) | v98(constB4)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[797, 411, 736])).
% 37.25/23.65 tff(799,plain,
% 37.25/23.65 (v96(constB4)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[798, 794])).
% 37.25/23.65 tff(800,plain,
% 37.25/23.65 (v1(constB4) <=> v1(constB4)),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(801,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 37.25/23.65 tff(802,plain,
% 37.25/23.65 (v1(constB4)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[801, 800])).
% 37.25/23.65 tff(803,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(804,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(805,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[804, 803])).
% 37.25/23.65 tff(806,plain,
% 37.25/23.65 (v95(constB4) | (~v96(constB4))),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[805, 429, 736, 802])).
% 37.25/23.65 tff(807,plain,
% 37.25/23.65 (v95(constB4)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[806, 799])).
% 37.25/23.65 tff(808,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(809,plain,
% 37.25/23.65 (((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4)) <=> ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(810,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4))))),
% 37.25/23.65 inference(monotonicity,[status(thm)],[809])).
% 37.25/23.65 tff(811,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 37.25/23.65 inference(transitivity,[status(thm)],[810, 808])).
% 37.25/23.65 tff(812,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(813,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[812, 811])).
% 37.25/23.65 tff(814,plain,
% 37.25/23.65 (v94(constB4) | (~v95(constB4)) | (~v104(constB4))),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[813, 444, 736])).
% 37.25/23.65 tff(815,plain,
% 37.25/23.65 (v94(constB4) | (~v104(constB4))),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[814, 807])).
% 37.25/23.65 tff(816,plain,
% 37.25/23.65 (v94(constB4)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[815, 790])).
% 37.25/23.65 tff(817,plain,
% 37.25/23.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(818,plain,
% 37.25/23.65 ((v84(constB4, bitIndex2) | (~v94(constB4)) | (~v123(constB4, bitIndex2))) <=> (v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(819,plain,
% 37.25/23.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v94(constB4)) | (~v123(constB4, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4))))),
% 37.25/23.65 inference(monotonicity,[status(thm)],[818])).
% 37.25/23.65 tff(820,plain,
% 37.25/23.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v94(constB4)) | (~v123(constB4, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4)))),
% 37.25/23.65 inference(transitivity,[status(thm)],[819, 817])).
% 37.25/23.65 tff(821,plain,
% 37.25/23.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~v94(constB4)) | (~v123(constB4, bitIndex2)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(822,plain,
% 37.25/23.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2)) | (~v94(constB4))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[821, 820])).
% 37.25/23.65 tff(823,plain,
% 37.25/23.65 (v84(constB4, bitIndex2) | (~v123(constB4, bitIndex2))),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[822, 507, 816])).
% 37.25/23.65 tff(824,plain,
% 37.25/23.65 (v84(constB4, bitIndex2)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[823, 741])).
% 37.25/23.65 tff(825,plain,
% 37.25/23.65 ((~v1(constB5)) <=> (~v1(constB5))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(826,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 37.25/23.65 tff(827,plain,
% 37.25/23.65 (~v1(constB5)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[826, 825])).
% 37.25/23.65 tff(828,plain,
% 37.25/23.65 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(829,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 37.25/23.65 tff(830,plain,
% 37.25/23.65 (nextState(constB4, constB5)),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[829, 828])).
% 37.25/23.65 tff(831,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(832,plain,
% 37.25/23.65 (((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(833,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5))))),
% 37.25/23.65 inference(monotonicity,[status(thm)],[832])).
% 37.25/23.65 tff(834,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 37.25/23.65 inference(transitivity,[status(thm)],[833, 831])).
% 37.25/23.65 tff(835,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(836,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[835, 834])).
% 37.25/23.65 tff(837,plain,
% 37.25/23.65 (~v95(constB5)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[836, 175, 830, 827])).
% 37.25/23.65 tff(838,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(839,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))),
% 37.25/23.65 inference(quant_inst,[status(thm)],[])).
% 37.25/23.65 tff(840,plain,
% 37.25/23.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5))),
% 37.25/23.65 inference(modus_ponens,[status(thm)],[839, 838])).
% 37.25/23.65 tff(841,plain,
% 37.25/23.65 (v95(constB5) | (~v94(constB5))),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[840, 192, 830])).
% 37.25/23.65 tff(842,plain,
% 37.25/23.65 (~v94(constB5)),
% 37.25/23.65 inference(unit_resolution,[status(thm)],[841, 837])).
% 37.25/23.65 tff(843,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(844,plain,
% 37.25/23.65 (((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2)) <=> ((~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2))),
% 37.25/23.65 inference(rewrite,[status(thm)],[])).
% 37.25/23.65 tff(845,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2)))),
% 37.25/23.65 inference(monotonicity,[status(thm)],[844])).
% 37.25/23.65 tff(846,plain,
% 37.25/23.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2))),
% 37.25/23.65 inference(transitivity,[status(thm)],[845, 843])).
% 37.25/23.66 tff(847,plain,
% 37.25/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2))),
% 37.25/23.66 inference(quant_inst,[status(thm)],[])).
% 37.25/23.66 tff(848,plain,
% 37.25/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex2)),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[847, 846])).
% 37.25/23.66 tff(849,plain,
% 37.25/23.66 ((~v84(constB4, bitIndex2)) | v94(constB5) | v84(constB5, bitIndex2)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[848, 543, 830])).
% 37.25/23.66 tff(850,plain,
% 37.25/23.66 ((~v84(constB4, bitIndex2)) | v84(constB5, bitIndex2)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[849, 842])).
% 37.25/23.66 tff(851,plain,
% 37.25/23.66 (v84(constB5, bitIndex2)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[850, 824])).
% 37.25/23.66 tff(852,plain,
% 37.25/23.66 (^[VarCurr: $i] : refl(((~v172(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(853,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[852])).
% 37.25/23.66 tff(854,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(855,plain,
% 37.25/23.66 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex1) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(856,plain,
% 37.25/23.66 (![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[855])).
% 37.25/23.66 tff(857,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v172(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_2')).
% 37.25/23.66 tff(858,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[857, 856])).
% 37.25/23.66 tff(859,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[858, 854])).
% 37.25/23.66 tff(860,plain,(
% 37.25/23.66 ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.25/23.66 inference(skolemize,[status(sab)],[859])).
% 37.25/23.66 tff(861,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[860, 853])).
% 37.25/23.66 tff(862,plain,
% 37.25/23.66 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB3)) | v124(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB3)) | v124(constB3, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(863,plain,
% 37.25/23.66 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB3)) | v124(constB3, bitIndex1))),
% 37.25/23.66 inference(quant_inst,[status(thm)],[])).
% 37.25/23.66 tff(864,plain,
% 37.25/23.66 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB3)) | v124(constB3, bitIndex1)),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[863, 862])).
% 37.25/23.66 tff(865,plain,
% 37.25/23.66 (v124(constB3, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[864, 861, 714])).
% 37.25/23.66 tff(866,plain,
% 37.25/23.66 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(867,plain,
% 37.25/23.66 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[866])).
% 37.25/23.66 tff(868,plain,
% 37.25/23.66 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(869,plain,
% 37.25/23.66 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) <=> ((~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))), (((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (((~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) | v26(VarCurr)))), rewrite((((~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))), (((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(870,plain,
% 37.25/23.66 (![VarCurr: $i] : ((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[869])).
% 37.25/23.66 tff(871,axiom,(![VarCurr: $i] : ((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 37.25/23.66 tff(872,plain,
% 37.25/23.66 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[871, 870])).
% 37.25/23.66 tff(873,plain,
% 37.25/23.66 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[872, 868])).
% 37.25/23.66 tff(874,plain,(
% 37.25/23.66 ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 37.25/23.66 inference(skolemize,[status(sab)],[873])).
% 37.25/23.66 tff(875,plain,
% 37.25/23.66 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[874, 867])).
% 37.25/23.66 tff(876,plain,
% 37.25/23.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(877,plain,
% 37.25/23.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))),
% 37.25/23.66 inference(quant_inst,[status(thm)],[])).
% 37.25/23.66 tff(878,plain,
% 37.25/23.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1)),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[877, 876])).
% 37.25/23.66 tff(879,plain,
% 37.25/23.66 (v26(constB3) | v121(constB3, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[878, 875, 865])).
% 37.25/23.66 tff(880,plain,
% 37.25/23.66 (v121(constB3, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[879, 155])).
% 37.25/23.66 tff(881,plain,
% 37.25/23.66 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(882,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[881])).
% 37.25/23.66 tff(883,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(884,plain,
% 37.25/23.66 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ((~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))), (((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> (((~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))), (((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(885,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[884])).
% 37.25/23.66 tff(886,axiom,(![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 37.25/23.66 tff(887,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[886, 885])).
% 37.25/23.66 tff(888,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[887, 883])).
% 37.25/23.66 tff(889,plain,(
% 37.25/23.66 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 37.25/23.66 inference(skolemize,[status(sab)],[888])).
% 37.25/23.66 tff(890,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[889, 882])).
% 37.25/23.66 tff(891,plain,
% 37.25/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(892,plain,
% 37.25/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))),
% 37.25/23.66 inference(quant_inst,[status(thm)],[])).
% 37.25/23.66 tff(893,plain,
% 37.25/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1)),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[892, 891])).
% 37.25/23.66 tff(894,plain,
% 37.25/23.66 ((~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[893, 890, 736])).
% 37.25/23.66 tff(895,plain,
% 37.25/23.66 (v123(constB4, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[894, 880])).
% 37.25/23.66 tff(896,plain,
% 37.25/23.66 (^[VarNext: $i] : refl((v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(897,plain,
% 37.25/23.66 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[896])).
% 37.25/23.66 tff(898,plain,
% 37.25/23.66 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(899,plain,
% 37.25/23.66 (^[VarNext: $i] : trans(monotonicity(rewrite((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> (v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1)))), (((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))) <=> ((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))))), rewrite(((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))), (((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(900,plain,
% 37.25/23.66 (![VarNext: $i] : ((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[899])).
% 37.25/23.66 tff(901,axiom,(![VarNext: $i] : ((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 37.25/23.66 tff(902,plain,
% 37.25/23.66 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[901, 900])).
% 37.25/23.66 tff(903,plain,
% 37.25/23.66 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[902, 898])).
% 37.25/23.66 tff(904,plain,(
% 37.25/23.66 ![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.66 inference(skolemize,[status(sab)],[903])).
% 37.25/23.66 tff(905,plain,
% 37.25/23.66 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[904, 897])).
% 37.25/23.66 tff(906,plain,
% 37.25/23.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(907,plain,
% 37.25/23.66 ((v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1))) <=> (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(908,plain,
% 37.25/23.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4))))),
% 37.25/23.66 inference(monotonicity,[status(thm)],[907])).
% 37.25/23.66 tff(909,plain,
% 37.25/23.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 37.25/23.66 inference(transitivity,[status(thm)],[908, 906])).
% 37.25/23.66 tff(910,plain,
% 37.25/23.66 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))),
% 37.25/23.66 inference(quant_inst,[status(thm)],[])).
% 37.25/23.66 tff(911,plain,
% 37.25/23.66 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[910, 909])).
% 37.25/23.66 tff(912,plain,
% 37.25/23.66 (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1))),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[911, 905, 816])).
% 37.25/23.66 tff(913,plain,
% 37.25/23.66 (v84(constB4, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[912, 895])).
% 37.25/23.66 tff(914,plain,
% 37.25/23.66 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(915,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[914])).
% 37.25/23.66 tff(916,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(917,plain,
% 37.25/23.66 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex1)) | v84(VarNext, bitIndex1))), (((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) <=> (((~v84(VarCurr, bitIndex1)) | v84(VarNext, bitIndex1)) | v94(VarNext)))), rewrite((((~v84(VarCurr, bitIndex1)) | v84(VarNext, bitIndex1)) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))), (((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)))), ((((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))), ((((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(918,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[917])).
% 37.25/23.66 tff(919,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 37.25/23.66 tff(920,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[919, 918])).
% 37.25/23.66 tff(921,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[920, 916])).
% 37.25/23.66 tff(922,plain,(
% 37.25/23.66 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 37.25/23.66 inference(skolemize,[status(sab)],[921])).
% 37.25/23.66 tff(923,plain,
% 37.25/23.66 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[922, 915])).
% 37.25/23.66 tff(924,plain,
% 37.25/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(925,plain,
% 37.25/23.66 (((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1)) <=> ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(926,plain,
% 37.25/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1)))),
% 37.25/23.66 inference(monotonicity,[status(thm)],[925])).
% 37.25/23.66 tff(927,plain,
% 37.25/23.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 37.25/23.66 inference(transitivity,[status(thm)],[926, 924])).
% 37.25/23.66 tff(928,plain,
% 37.25/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))),
% 37.25/23.66 inference(quant_inst,[status(thm)],[])).
% 37.25/23.66 tff(929,plain,
% 37.25/23.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1)),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[928, 927])).
% 37.25/23.66 tff(930,plain,
% 37.25/23.66 ((~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[929, 923, 830])).
% 37.25/23.66 tff(931,plain,
% 37.25/23.66 ((~v84(constB4, bitIndex1)) | v84(constB5, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[930, 842])).
% 37.25/23.66 tff(932,plain,
% 37.25/23.66 (v84(constB5, bitIndex1)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[931, 913])).
% 37.25/23.66 tff(933,plain,
% 37.25/23.66 (^[VarCurr: $i] : refl(((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(934,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[933])).
% 37.25/23.66 tff(935,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(936,plain,
% 37.25/23.66 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 37.25/23.66 inference(bind,[status(th)],[])).
% 37.25/23.66 tff(937,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.66 inference(quant_intro,[status(thm)],[936])).
% 37.25/23.66 tff(938,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v172(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_1')).
% 37.25/23.66 tff(939,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[938, 937])).
% 37.25/23.66 tff(940,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[939, 935])).
% 37.25/23.66 tff(941,plain,(
% 37.25/23.66 ![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.66 inference(skolemize,[status(sab)],[940])).
% 37.25/23.66 tff(942,plain,
% 37.25/23.66 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[941, 934])).
% 37.25/23.66 tff(943,plain,
% 37.25/23.66 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB3)) | (~v124(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB3)) | (~v124(constB3, bitIndex0)))),
% 37.25/23.66 inference(rewrite,[status(thm)],[])).
% 37.25/23.66 tff(944,plain,
% 37.25/23.66 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB3)) | (~v124(constB3, bitIndex0)))),
% 37.25/23.66 inference(quant_inst,[status(thm)],[])).
% 37.25/23.66 tff(945,plain,
% 37.25/23.66 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB3)) | (~v124(constB3, bitIndex0))),
% 37.25/23.66 inference(modus_ponens,[status(thm)],[944, 943])).
% 37.25/23.66 tff(946,plain,
% 37.25/23.66 (~v124(constB3, bitIndex0)),
% 37.25/23.66 inference(unit_resolution,[status(thm)],[945, 942, 714])).
% 37.25/23.67 tff(947,plain,
% 37.25/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(948,plain,
% 37.25/23.67 ((v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0))) <=> ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(949,plain,
% 37.25/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0)))),
% 37.25/23.67 inference(monotonicity,[status(thm)],[948])).
% 37.25/23.67 tff(950,plain,
% 37.25/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 37.25/23.67 inference(transitivity,[status(thm)],[949, 947])).
% 37.25/23.67 tff(951,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(952,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0)),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[951, 950])).
% 37.25/23.67 tff(953,plain,
% 37.25/23.67 ((~v121(constB3, bitIndex0)) | v26(constB3)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[952, 650, 946])).
% 37.25/23.67 tff(954,plain,
% 37.25/23.67 (~v121(constB3, bitIndex0)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[953, 155])).
% 37.25/23.67 tff(955,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(956,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(957,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[956, 955])).
% 37.25/23.67 tff(958,plain,
% 37.25/23.67 (v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0))),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[957, 668, 736])).
% 37.25/23.67 tff(959,plain,
% 37.25/23.67 (~v123(constB4, bitIndex0)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[958, 954])).
% 37.25/23.67 tff(960,plain,
% 37.25/23.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(961,plain,
% 37.25/23.67 (((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0)) <=> ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(962,plain,
% 37.25/23.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4))))),
% 37.25/23.67 inference(monotonicity,[status(thm)],[961])).
% 37.25/23.67 tff(963,plain,
% 37.25/23.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 37.25/23.67 inference(transitivity,[status(thm)],[962, 960])).
% 37.25/23.67 tff(964,plain,
% 37.25/23.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(965,plain,
% 37.25/23.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[964, 963])).
% 37.25/23.67 tff(966,plain,
% 37.25/23.67 ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[965, 683, 816])).
% 37.25/23.67 tff(967,plain,
% 37.25/23.67 (~v84(constB4, bitIndex0)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[966, 959])).
% 37.25/23.67 tff(968,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(969,plain,
% 37.25/23.67 (((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0))) <=> (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(970,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0))))),
% 37.25/23.67 inference(monotonicity,[status(thm)],[969])).
% 37.25/23.67 tff(971,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 37.25/23.67 inference(transitivity,[status(thm)],[970, 968])).
% 37.25/23.67 tff(972,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(973,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[972, 971])).
% 37.25/23.67 tff(974,plain,
% 37.25/23.67 (v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0))),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[973, 249, 830])).
% 37.25/23.67 tff(975,plain,
% 37.25/23.67 (v84(constB4, bitIndex0) | (~v84(constB5, bitIndex0))),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[974, 842])).
% 37.25/23.67 tff(976,plain,
% 37.25/23.67 (~v84(constB5, bitIndex0)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[975, 967])).
% 37.25/23.67 tff(977,plain,
% 37.25/23.67 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)))),
% 37.25/23.67 inference(bind,[status(th)],[])).
% 37.25/23.67 tff(978,plain,
% 37.25/23.67 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 37.25/23.67 inference(quant_intro,[status(thm)],[977])).
% 37.25/23.67 tff(979,plain,
% 37.25/23.67 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(980,plain,
% 37.25/23.67 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))), ((((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> (((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite((((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))), ((((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))))),
% 37.25/23.67 inference(bind,[status(th)],[])).
% 37.25/23.67 tff(981,plain,
% 37.25/23.67 (![VarCurr: $i] : (((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 37.25/23.67 inference(quant_intro,[status(thm)],[980])).
% 37.25/23.67 tff(982,axiom,(![VarCurr: $i] : (((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 37.25/23.67 tff(983,plain,
% 37.25/23.67 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[982, 981])).
% 37.25/23.67 tff(984,plain,
% 37.25/23.67 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[983, 979])).
% 37.25/23.67 tff(985,plain,(
% 37.25/23.67 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 37.25/23.67 inference(skolemize,[status(sab)],[984])).
% 37.25/23.67 tff(986,plain,
% 37.25/23.67 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[985, 978])).
% 37.25/23.67 tff(987,plain,
% 37.25/23.67 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | (~v84(constB5, bitIndex2)) | v119(constB5))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | (~v84(constB5, bitIndex2)) | v119(constB5))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(988,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | (~v84(constB5, bitIndex2)) | v119(constB5))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(989,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | (~v84(constB5, bitIndex2)) | v119(constB5)),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[988, 987])).
% 37.25/23.67 tff(990,plain,
% 37.25/23.67 (v119(constB5)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[989, 986, 976, 932, 851])).
% 37.25/23.67 tff(991,plain,
% 37.25/23.67 (^[VarCurr: $i] : refl((v107(VarCurr) | (~v119(VarCurr))) <=> (v107(VarCurr) | (~v119(VarCurr))))),
% 37.25/23.67 inference(bind,[status(th)],[])).
% 37.25/23.67 tff(992,plain,
% 37.25/23.67 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 37.25/23.67 inference(quant_intro,[status(thm)],[991])).
% 37.25/23.67 tff(993,plain,
% 37.25/23.67 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(994,axiom,(![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 37.25/23.67 tff(995,plain,
% 37.25/23.67 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[994, 993])).
% 37.25/23.67 tff(996,plain,(
% 37.25/23.67 ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 37.25/23.67 inference(skolemize,[status(sab)],[995])).
% 37.25/23.67 tff(997,plain,
% 37.25/23.67 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[996, 992])).
% 37.25/23.67 tff(998,plain,
% 37.25/23.67 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB5) | (~v119(constB5)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB5) | (~v119(constB5)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(999,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB5) | (~v119(constB5)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1000,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB5) | (~v119(constB5))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[999, 998])).
% 37.25/23.67 tff(1001,plain,
% 37.25/23.67 (v107(constB5)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1000, 997, 990])).
% 37.25/23.67 tff(1002,assumption,(v26(constB5)), introduced(assumption)).
% 37.25/23.67 tff(1003,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1004,plain,
% 37.25/23.67 ($false),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1003, 120, 1002])).
% 37.25/23.67 tff(1005,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 37.25/23.67 tff(1006,plain,
% 37.25/23.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB5) | (~v107(constB5)) | v106(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB5) | (~v107(constB5)) | v106(constB5))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1007,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB5) | (~v107(constB5)) | v106(constB5))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1008,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB5) | (~v107(constB5)) | v106(constB5)),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 37.25/23.67 tff(1009,plain,
% 37.25/23.67 ((~v107(constB5)) | v106(constB5)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1008, 350, 1005])).
% 37.25/23.67 tff(1010,plain,
% 37.25/23.67 (v106(constB5)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1009, 1001])).
% 37.25/23.67 tff(1011,plain,
% 37.25/23.67 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB5) | (~v106(constB5)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB5) | (~v106(constB5)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1012,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB5) | (~v106(constB5)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1013,plain,
% 37.25/23.67 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB5) | (~v106(constB5))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 37.25/23.67 tff(1014,plain,
% 37.25/23.67 (v102(constB5)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1013, 362, 1010])).
% 37.25/23.67 tff(1015,plain,
% 37.25/23.67 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1016,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 37.25/23.67 tff(1017,plain,
% 37.25/23.67 (nextState(constB5, constB6)),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 37.25/23.67 tff(1018,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1019,plain,
% 37.25/23.67 (((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6)) <=> ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1020,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5))))),
% 37.25/23.67 inference(monotonicity,[status(thm)],[1019])).
% 37.25/23.67 tff(1021,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 37.25/23.67 inference(transitivity,[status(thm)],[1020, 1018])).
% 37.25/23.67 tff(1022,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1023,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 37.25/23.67 tff(1024,plain,
% 37.25/23.67 (v104(constB6) | (~v102(constB5))),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1023, 379, 1017])).
% 37.25/23.67 tff(1025,plain,
% 37.25/23.67 (v104(constB6)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1024, 1014])).
% 37.25/23.67 tff(1026,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1027,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1028,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1027, 1026])).
% 37.25/23.67 tff(1029,plain,
% 37.25/23.67 (~v98(constB6)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1028, 397, 1017, 827])).
% 37.25/23.67 tff(1030,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1031,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1032,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB5, constB6)) | v96(constB6) | v98(constB6)),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 37.25/23.67 tff(1033,plain,
% 37.25/23.67 (v96(constB6) | v98(constB6)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1032, 411, 1017])).
% 37.25/23.67 tff(1034,plain,
% 37.25/23.67 (v96(constB6)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1033, 1029])).
% 37.25/23.67 tff(1035,plain,
% 37.25/23.67 (v1(constB6) <=> v1(constB6)),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1036,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 37.25/23.67 tff(1037,plain,
% 37.25/23.67 (v1(constB6)),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1036, 1035])).
% 37.25/23.67 tff(1038,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1039,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1040,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1039, 1038])).
% 37.25/23.67 tff(1041,plain,
% 37.25/23.67 (v95(constB6) | (~v96(constB6))),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1040, 429, 1017, 1037])).
% 37.25/23.67 tff(1042,plain,
% 37.25/23.67 (v95(constB6)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1041, 1034])).
% 37.25/23.67 tff(1043,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1044,plain,
% 37.25/23.67 (((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6)) <=> ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1045,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6))))),
% 37.25/23.67 inference(monotonicity,[status(thm)],[1044])).
% 37.25/23.67 tff(1046,plain,
% 37.25/23.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 37.25/23.67 inference(transitivity,[status(thm)],[1045, 1043])).
% 37.25/23.67 tff(1047,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1048,plain,
% 37.25/23.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1047, 1046])).
% 37.25/23.67 tff(1049,plain,
% 37.25/23.67 (v94(constB6) | (~v95(constB6)) | (~v104(constB6))),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1048, 444, 1017])).
% 37.25/23.67 tff(1050,plain,
% 37.25/23.67 (v94(constB6) | (~v104(constB6))),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1049, 1042])).
% 37.25/23.67 tff(1051,plain,
% 37.25/23.67 (v94(constB6)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1050, 1025])).
% 37.25/23.67 tff(1052,plain,
% 37.25/23.67 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))))),
% 37.25/23.67 inference(bind,[status(th)],[])).
% 37.25/23.67 tff(1053,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 37.25/23.67 inference(quant_intro,[status(thm)],[1052])).
% 37.25/23.67 tff(1054,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1055,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 37.25/23.67 tff(1056,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 37.25/23.67 tff(1057,plain,(
% 37.25/23.67 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 37.25/23.67 inference(skolemize,[status(sab)],[1056])).
% 37.25/23.67 tff(1058,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1057, 1053])).
% 37.25/23.67 tff(1059,plain,
% 37.25/23.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB5, bitIndex2)) | (~v115(constB5)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB5, bitIndex2)) | (~v115(constB5)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1060,plain,
% 37.25/23.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB5, bitIndex2)) | (~v115(constB5)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1061,plain,
% 37.25/23.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB5, bitIndex2)) | (~v115(constB5))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1060, 1059])).
% 37.25/23.67 tff(1062,plain,
% 37.25/23.67 (~v115(constB5)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1061, 1058, 851])).
% 37.25/23.67 tff(1063,plain,
% 37.25/23.67 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))))),
% 37.25/23.67 inference(bind,[status(th)],[])).
% 37.25/23.67 tff(1064,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 37.25/23.67 inference(quant_intro,[status(thm)],[1063])).
% 37.25/23.67 tff(1065,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1066,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 37.25/23.67 tff(1067,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 37.25/23.67 tff(1068,plain,(
% 37.25/23.67 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 37.25/23.67 inference(skolemize,[status(sab)],[1067])).
% 37.25/23.67 tff(1069,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1068, 1064])).
% 37.25/23.67 tff(1070,plain,
% 37.25/23.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB5, bitIndex2)) | (~v116(constB5)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB5, bitIndex2)) | (~v116(constB5)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1071,plain,
% 37.25/23.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB5, bitIndex2)) | (~v116(constB5)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1072,plain,
% 37.25/23.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB5, bitIndex2)) | (~v116(constB5))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 37.25/23.67 tff(1073,plain,
% 37.25/23.67 (~v116(constB5)),
% 37.25/23.67 inference(unit_resolution,[status(thm)],[1072, 1069, 851])).
% 37.25/23.67 tff(1074,plain,
% 37.25/23.67 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 37.25/23.67 inference(bind,[status(th)],[])).
% 37.25/23.67 tff(1075,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 37.25/23.67 inference(quant_intro,[status(thm)],[1074])).
% 37.25/23.67 tff(1076,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1077,plain,
% 37.25/23.67 (^[VarCurr: $i] : rewrite(((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 37.25/23.67 inference(bind,[status(th)],[])).
% 37.25/23.67 tff(1078,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 37.25/23.67 inference(quant_intro,[status(thm)],[1077])).
% 37.25/23.67 tff(1079,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 37.25/23.67 tff(1080,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 37.25/23.67 tff(1081,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1080, 1076])).
% 37.25/23.67 tff(1082,plain,(
% 37.25/23.67 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 37.25/23.67 inference(skolemize,[status(sab)],[1081])).
% 37.25/23.67 tff(1083,plain,
% 37.25/23.67 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 37.25/23.67 inference(modus_ponens,[status(thm)],[1082, 1075])).
% 37.25/23.67 tff(1084,plain,
% 37.25/23.67 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB5)) | (~v84(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB5)) | (~v84(constB5, bitIndex1)))),
% 37.25/23.67 inference(rewrite,[status(thm)],[])).
% 37.25/23.67 tff(1085,plain,
% 37.25/23.67 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB5)) | (~v84(constB5, bitIndex1)))),
% 37.25/23.67 inference(quant_inst,[status(thm)],[])).
% 37.25/23.67 tff(1086,plain,
% 37.25/23.67 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB5)) | (~v84(constB5, bitIndex1))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 37.25/23.68 tff(1087,plain,
% 37.25/23.68 (~v113(constB5)),
% 37.25/23.68 inference(unit_resolution,[status(thm)],[1086, 1083, 932])).
% 37.25/23.68 tff(1088,plain,
% 37.25/23.68 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))))),
% 37.25/23.68 inference(bind,[status(th)],[])).
% 37.25/23.68 tff(1089,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 37.25/23.68 inference(quant_intro,[status(thm)],[1088])).
% 37.25/23.68 tff(1090,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1091,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 37.25/23.68 tff(1092,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 37.25/23.68 tff(1093,plain,(
% 37.25/23.68 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 37.25/23.68 inference(skolemize,[status(sab)],[1092])).
% 37.25/23.68 tff(1094,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1093, 1089])).
% 37.25/23.68 tff(1095,plain,
% 37.25/23.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB5, bitIndex1)) | (~v118(constB5)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB5, bitIndex1)) | (~v118(constB5)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1096,plain,
% 37.25/23.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB5, bitIndex1)) | (~v118(constB5)))),
% 37.25/23.68 inference(quant_inst,[status(thm)],[])).
% 37.25/23.68 tff(1097,plain,
% 37.25/23.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB5, bitIndex1)) | (~v118(constB5))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1096, 1095])).
% 37.25/23.68 tff(1098,plain,
% 37.25/23.68 (~v118(constB5)),
% 37.25/23.68 inference(unit_resolution,[status(thm)],[1097, 1094, 932])).
% 37.25/23.68 tff(1099,plain,
% 37.25/23.68 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))))),
% 37.25/23.68 inference(bind,[status(th)],[])).
% 37.25/23.68 tff(1100,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 37.25/23.68 inference(quant_intro,[status(thm)],[1099])).
% 37.25/23.68 tff(1101,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1102,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 37.25/23.68 tff(1103,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 37.25/23.68 tff(1104,plain,(
% 37.25/23.68 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 37.25/23.68 inference(skolemize,[status(sab)],[1103])).
% 37.25/23.68 tff(1105,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1104, 1100])).
% 37.25/23.68 tff(1106,plain,
% 37.25/23.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB5, bitIndex1)) | (~v172(constB5)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB5, bitIndex1)) | (~v172(constB5)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1107,plain,
% 37.25/23.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB5, bitIndex1)) | (~v172(constB5)))),
% 37.25/23.68 inference(quant_inst,[status(thm)],[])).
% 37.25/23.68 tff(1108,plain,
% 37.25/23.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB5, bitIndex1)) | (~v172(constB5))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 37.25/23.68 tff(1109,plain,
% 37.25/23.68 (~v172(constB5)),
% 37.25/23.68 inference(unit_resolution,[status(thm)],[1108, 1105, 932])).
% 37.25/23.68 tff(1110,plain,
% 37.25/23.68 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))))),
% 37.25/23.68 inference(bind,[status(th)],[])).
% 37.25/23.68 tff(1111,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 37.25/23.68 inference(quant_intro,[status(thm)],[1110])).
% 37.25/23.68 tff(1112,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1113,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 37.25/23.68 tff(1114,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1113, 1112])).
% 37.25/23.68 tff(1115,plain,(
% 37.25/23.68 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 37.25/23.68 inference(skolemize,[status(sab)],[1114])).
% 37.25/23.68 tff(1116,plain,
% 37.25/23.68 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1115, 1111])).
% 37.25/23.68 tff(1117,plain,
% 37.25/23.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB5, bitIndex1)) | (~v145(constB5)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB5, bitIndex1)) | (~v145(constB5)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1118,plain,
% 37.25/23.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB5, bitIndex1)) | (~v145(constB5)))),
% 37.25/23.68 inference(quant_inst,[status(thm)],[])).
% 37.25/23.68 tff(1119,plain,
% 37.25/23.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB5, bitIndex1)) | (~v145(constB5))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 37.25/23.68 tff(1120,plain,
% 37.25/23.68 (~v145(constB5)),
% 37.25/23.68 inference(unit_resolution,[status(thm)],[1119, 1116, 932])).
% 37.25/23.68 tff(1121,plain,
% 37.25/23.68 (^[VarCurr: $i] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))),
% 37.25/23.68 inference(bind,[status(th)],[])).
% 37.25/23.68 tff(1122,plain,
% 37.25/23.68 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(quant_intro,[status(thm)],[1121])).
% 37.25/23.68 tff(1123,plain,
% 37.25/23.68 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1124,plain,
% 37.25/23.68 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) <=> (v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), ((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) <=> ((v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v172(VarCurr)))), rewrite(((v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), ((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))), (((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> ((v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v116(VarCurr)))), rewrite(((v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), (((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))), ((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> ((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v115(VarCurr)))), rewrite(((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), ((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))), (((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> ((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v145(VarCurr)))), rewrite(((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), (((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))), ((((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v113(VarCurr)))), rewrite(((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), ((((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))))),
% 37.25/23.68 inference(bind,[status(th)],[])).
% 37.25/23.68 tff(1125,plain,
% 37.25/23.68 (![VarCurr: $i] : (((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(quant_intro,[status(thm)],[1124])).
% 37.25/23.68 tff(1126,axiom,(![VarCurr: $i] : (((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_3')).
% 37.25/23.68 tff(1127,plain,
% 37.25/23.68 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 37.25/23.68 tff(1128,plain,
% 37.25/23.68 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1127, 1123])).
% 37.25/23.68 tff(1129,plain,(
% 37.25/23.68 ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(skolemize,[status(sab)],[1128])).
% 37.25/23.68 tff(1130,plain,
% 37.25/23.68 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1129, 1122])).
% 37.25/23.68 tff(1131,plain,
% 37.25/23.68 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1132,plain,
% 37.25/23.68 ((v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex2))) <=> (v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1133,plain,
% 37.25/23.68 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex2))))),
% 37.25/23.68 inference(monotonicity,[status(thm)],[1132])).
% 37.25/23.68 tff(1134,plain,
% 37.25/23.68 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))),
% 37.25/23.68 inference(transitivity,[status(thm)],[1133, 1131])).
% 37.25/23.68 tff(1135,plain,
% 37.25/23.68 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex2)))),
% 37.25/23.68 inference(quant_inst,[status(thm)],[])).
% 37.25/23.68 tff(1136,plain,
% 37.25/23.68 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex2))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1135, 1134])).
% 37.25/23.68 tff(1137,plain,
% 37.25/23.68 (~v124(constB5, bitIndex2)),
% 37.25/23.68 inference(unit_resolution,[status(thm)],[1136, 1130, 1120, 1109, 1098, 1087, 1073, 1062])).
% 37.25/23.68 tff(1138,plain,
% 37.25/23.68 (^[VarCurr: $i] : refl((v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))))),
% 37.25/23.68 inference(bind,[status(th)],[])).
% 37.25/23.68 tff(1139,plain,
% 37.25/23.68 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(quant_intro,[status(thm)],[1138])).
% 37.25/23.68 tff(1140,plain,
% 37.25/23.68 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1141,plain,
% 37.25/23.68 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> (v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))), (((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)))), rewrite(((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))), (((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))))),
% 37.25/23.68 inference(bind,[status(th)],[])).
% 37.25/23.68 tff(1142,plain,
% 37.25/23.68 (![VarCurr: $i] : ((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(quant_intro,[status(thm)],[1141])).
% 37.25/23.68 tff(1143,axiom,(![VarCurr: $i] : ((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 37.25/23.68 tff(1144,plain,
% 37.25/23.68 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 37.25/23.68 tff(1145,plain,
% 37.25/23.68 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1144, 1140])).
% 37.25/23.68 tff(1146,plain,(
% 37.25/23.68 ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(skolemize,[status(sab)],[1145])).
% 37.25/23.68 tff(1147,plain,
% 37.25/23.68 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1146, 1139])).
% 37.25/23.68 tff(1148,plain,
% 37.25/23.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1149,plain,
% 37.25/23.68 ((v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2))) <=> ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 37.25/23.68 inference(rewrite,[status(thm)],[])).
% 37.25/23.68 tff(1150,plain,
% 37.25/23.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2)))),
% 37.25/23.68 inference(monotonicity,[status(thm)],[1149])).
% 37.25/23.68 tff(1151,plain,
% 37.25/23.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 37.25/23.68 inference(transitivity,[status(thm)],[1150, 1148])).
% 37.25/23.68 tff(1152,plain,
% 37.25/23.68 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))),
% 37.25/23.68 inference(quant_inst,[status(thm)],[])).
% 37.25/23.68 tff(1153,plain,
% 37.25/23.68 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2)),
% 37.25/23.68 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 37.25/23.68 tff(1154,plain,
% 37.25/23.68 ((~v121(constB5, bitIndex2)) | v124(constB5, bitIndex2)),
% 37.25/23.68 inference(unit_resolution,[status(thm)],[1153, 1147, 1005])).
% 37.25/23.68 tff(1155,plain,
% 37.25/23.68 (~v121(constB5, bitIndex2)),
% 37.25/23.68 inference(unit_resolution,[status(thm)],[1154, 1137])).
% 37.25/23.68 tff(1156,plain,
% 37.25/23.68 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))))),
% 37.25/23.68 inference(bind,[status(th)],[])).
% 37.25/23.68 tff(1157,plain,
% 37.25/23.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 37.25/23.68 inference(quant_intro,[status(thm)],[1156])).
% 37.30/23.68 tff(1158,plain,
% 37.30/23.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 37.30/23.68 inference(rewrite,[status(thm)],[])).
% 37.30/23.68 tff(1159,plain,
% 37.30/23.68 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> (v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))), (((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))), (((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))))),
% 37.30/23.68 inference(bind,[status(th)],[])).
% 37.30/23.68 tff(1160,plain,
% 37.30/23.68 (![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 37.30/23.68 inference(quant_intro,[status(thm)],[1159])).
% 37.30/23.68 tff(1161,axiom,(![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 37.30/23.68 tff(1162,plain,
% 37.30/23.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 37.30/23.68 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 37.30/23.68 tff(1163,plain,
% 37.30/23.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 37.30/23.68 inference(modus_ponens,[status(thm)],[1162, 1158])).
% 37.30/23.68 tff(1164,plain,(
% 37.30/23.68 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 37.30/23.68 inference(skolemize,[status(sab)],[1163])).
% 37.30/23.68 tff(1165,plain,
% 37.30/23.68 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 37.30/23.68 inference(modus_ponens,[status(thm)],[1164, 1157])).
% 37.30/23.68 tff(1166,plain,
% 37.30/23.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))),
% 37.30/23.68 inference(rewrite,[status(thm)],[])).
% 37.30/23.68 tff(1167,plain,
% 37.30/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))),
% 37.30/23.68 inference(quant_inst,[status(thm)],[])).
% 37.30/23.68 tff(1168,plain,
% 37.30/23.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2))),
% 37.30/23.68 inference(modus_ponens,[status(thm)],[1167, 1166])).
% 37.30/23.68 tff(1169,plain,
% 37.30/23.68 (v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2))),
% 37.30/23.68 inference(unit_resolution,[status(thm)],[1168, 1165, 1017])).
% 37.30/23.68 tff(1170,plain,
% 37.30/23.68 (~v123(constB6, bitIndex2)),
% 37.30/23.68 inference(unit_resolution,[status(thm)],[1169, 1155])).
% 37.30/23.68 tff(1171,plain,
% 37.30/23.68 (^[VarNext: $i] : refl(((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2)) <=> ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2)))),
% 37.30/23.68 inference(bind,[status(th)],[])).
% 37.30/23.68 tff(1172,plain,
% 37.30/23.68 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 37.30/23.68 inference(quant_intro,[status(thm)],[1171])).
% 37.30/23.68 tff(1173,plain,
% 37.30/23.68 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 37.30/23.68 inference(rewrite,[status(thm)],[])).
% 37.30/23.68 tff(1174,plain,
% 37.30/23.68 (^[VarNext: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) <=> ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2))), (((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) | (~v94(VarNext))) <=> (((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2)) | (~v94(VarNext))))), rewrite((((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2)) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))), (((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))))),
% 37.30/23.68 inference(bind,[status(th)],[])).
% 37.30/23.68 tff(1175,plain,
% 37.30/23.68 (![VarNext: $i] : ((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) | (~v94(VarNext))) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 37.30/23.68 inference(quant_intro,[status(thm)],[1174])).
% 37.30/23.68 tff(1176,axiom,(![VarNext: $i] : ((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) | (~v94(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 37.30/23.68 tff(1177,plain,
% 37.30/23.68 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 37.30/23.68 inference(modus_ponens,[status(thm)],[1176, 1175])).
% 37.30/23.68 tff(1178,plain,
% 37.30/23.68 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 37.30/23.68 inference(modus_ponens,[status(thm)],[1177, 1173])).
% 37.30/23.68 tff(1179,plain,(
% 37.30/23.68 ![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 37.30/23.68 inference(skolemize,[status(sab)],[1178])).
% 37.30/23.68 tff(1180,plain,
% 37.30/23.68 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 37.30/23.68 inference(modus_ponens,[status(thm)],[1179, 1172])).
% 37.30/23.68 tff(1181,plain,
% 37.30/23.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 37.30/23.68 inference(rewrite,[status(thm)],[])).
% 37.30/23.68 tff(1182,plain,
% 37.30/23.68 (((~v84(constB6, bitIndex2)) | (~v94(constB6)) | v123(constB6, bitIndex2)) <=> ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 37.30/23.68 inference(rewrite,[status(thm)],[])).
% 37.30/23.68 tff(1183,plain,
% 37.30/23.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | (~v94(constB6)) | v123(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6))))),
% 37.30/23.68 inference(monotonicity,[status(thm)],[1182])).
% 37.30/23.68 tff(1184,plain,
% 37.30/23.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | (~v94(constB6)) | v123(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 37.30/23.68 inference(transitivity,[status(thm)],[1183, 1181])).
% 37.30/23.68 tff(1185,plain,
% 37.30/23.68 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | (~v94(constB6)) | v123(constB6, bitIndex2))),
% 37.30/23.68 inference(quant_inst,[status(thm)],[])).
% 37.30/23.68 tff(1186,plain,
% 37.30/23.68 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6))),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 37.30/23.69 tff(1187,plain,
% 37.30/23.69 ((~v84(constB6, bitIndex2)) | (~v94(constB6))),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1186, 1180, 1170])).
% 37.30/23.69 tff(1188,plain,
% 37.30/23.69 (~v84(constB6, bitIndex2)),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1187, 1051])).
% 37.30/23.69 tff(1189,plain,
% 37.30/23.69 ((~v1(constB7)) <=> (~v1(constB7))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1190,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 37.30/23.69 tff(1191,plain,
% 37.30/23.69 (~v1(constB7)),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 37.30/23.69 tff(1192,plain,
% 37.30/23.69 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1193,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 37.30/23.69 tff(1194,plain,
% 37.30/23.69 (nextState(constB6, constB7)),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1193, 1192])).
% 37.30/23.69 tff(1195,plain,
% 37.30/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1196,plain,
% 37.30/23.69 (((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1197,plain,
% 37.30/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7))))),
% 37.30/23.69 inference(monotonicity,[status(thm)],[1196])).
% 37.30/23.69 tff(1198,plain,
% 37.30/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 37.30/23.69 inference(transitivity,[status(thm)],[1197, 1195])).
% 37.30/23.69 tff(1199,plain,
% 37.30/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))),
% 37.30/23.69 inference(quant_inst,[status(thm)],[])).
% 37.30/23.69 tff(1200,plain,
% 37.30/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7))),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1199, 1198])).
% 37.30/23.69 tff(1201,plain,
% 37.30/23.69 (~v95(constB7)),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1200, 175, 1194, 1191])).
% 37.30/23.69 tff(1202,plain,
% 37.30/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1203,plain,
% 37.30/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))),
% 37.30/23.69 inference(quant_inst,[status(thm)],[])).
% 37.30/23.69 tff(1204,plain,
% 37.30/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7))),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 37.30/23.69 tff(1205,plain,
% 37.30/23.69 (v95(constB7) | (~v94(constB7))),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1204, 192, 1194])).
% 37.30/23.69 tff(1206,plain,
% 37.30/23.69 (~v94(constB7)),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1205, 1201])).
% 37.30/23.69 tff(1207,plain,
% 37.30/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1208,plain,
% 37.30/23.69 (((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2))) <=> (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1209,plain,
% 37.30/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2))))),
% 37.30/23.69 inference(monotonicity,[status(thm)],[1208])).
% 37.30/23.69 tff(1210,plain,
% 37.30/23.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 37.30/23.69 inference(transitivity,[status(thm)],[1209, 1207])).
% 37.30/23.69 tff(1211,plain,
% 37.30/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 37.30/23.69 inference(quant_inst,[status(thm)],[])).
% 37.30/23.69 tff(1212,plain,
% 37.30/23.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2))),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 37.30/23.69 tff(1213,plain,
% 37.30/23.69 (v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2))),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1212, 207, 1194])).
% 37.30/23.69 tff(1214,plain,
% 37.30/23.69 (v84(constB6, bitIndex2) | (~v84(constB7, bitIndex2))),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1213, 1206])).
% 37.30/23.69 tff(1215,plain,
% 37.30/23.69 (~v84(constB7, bitIndex2)),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1214, 1188])).
% 37.30/23.69 tff(1216,plain,
% 37.30/23.69 (^[VarCurr: $i] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))),
% 37.30/23.69 inference(bind,[status(th)],[])).
% 37.30/23.69 tff(1217,plain,
% 37.30/23.69 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 37.30/23.69 inference(quant_intro,[status(thm)],[1216])).
% 37.30/23.69 tff(1218,plain,
% 37.30/23.69 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1219,plain,
% 37.30/23.69 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) <=> (v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), ((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) <=> ((v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v172(VarCurr)))), rewrite(((v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), ((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))), (((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> ((v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v116(VarCurr)))), rewrite(((v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), (((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))), ((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> ((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v115(VarCurr)))), rewrite(((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), ((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))), (((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> ((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v145(VarCurr)))), rewrite(((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), (((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))), ((((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v113(VarCurr)))), rewrite(((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), ((((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))))),
% 37.30/23.69 inference(bind,[status(th)],[])).
% 37.30/23.69 tff(1220,plain,
% 37.30/23.69 (![VarCurr: $i] : (((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 37.30/23.69 inference(quant_intro,[status(thm)],[1219])).
% 37.30/23.69 tff(1221,axiom,(![VarCurr: $i] : (((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_2')).
% 37.30/23.69 tff(1222,plain,
% 37.30/23.69 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 37.30/23.69 tff(1223,plain,
% 37.30/23.69 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1222, 1218])).
% 37.30/23.69 tff(1224,plain,(
% 37.30/23.69 ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 37.30/23.69 inference(skolemize,[status(sab)],[1223])).
% 37.30/23.69 tff(1225,plain,
% 37.30/23.69 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1224, 1217])).
% 37.30/23.69 tff(1226,plain,
% 37.30/23.69 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1227,plain,
% 37.30/23.69 ((v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex1))) <=> (v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))),
% 37.30/23.69 inference(rewrite,[status(thm)],[])).
% 37.30/23.69 tff(1228,plain,
% 37.30/23.69 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex1))))),
% 37.30/23.69 inference(monotonicity,[status(thm)],[1227])).
% 37.30/23.69 tff(1229,plain,
% 37.30/23.69 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))),
% 37.30/23.69 inference(transitivity,[status(thm)],[1228, 1226])).
% 37.30/23.69 tff(1230,plain,
% 37.30/23.69 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | (~v124(constB5, bitIndex1)))),
% 37.30/23.69 inference(quant_inst,[status(thm)],[])).
% 37.30/23.69 tff(1231,plain,
% 37.30/23.69 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB5) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5) | (~v124(constB5, bitIndex1))),
% 37.30/23.69 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 37.30/23.69 tff(1232,plain,
% 37.30/23.69 (~v124(constB5, bitIndex1)),
% 37.30/23.69 inference(unit_resolution,[status(thm)],[1231, 1225, 1120, 1109, 1098, 1087, 1073, 1062])).
% 37.30/23.69 tff(1233,plain,
% 37.30/23.69 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1234,plain,
% 37.30/23.70 ((v26(constB5) | v124(constB5, bitIndex1) | (~v121(constB5, bitIndex1))) <=> ((~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1235,plain,
% 37.30/23.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB5) | v124(constB5, bitIndex1) | (~v121(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1)))),
% 37.30/23.70 inference(monotonicity,[status(thm)],[1234])).
% 37.30/23.70 tff(1236,plain,
% 37.30/23.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB5) | v124(constB5, bitIndex1) | (~v121(constB5, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1))),
% 37.30/23.70 inference(transitivity,[status(thm)],[1235, 1233])).
% 37.30/23.70 tff(1237,plain,
% 37.30/23.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB5) | v124(constB5, bitIndex1) | (~v121(constB5, bitIndex1)))),
% 37.30/23.70 inference(quant_inst,[status(thm)],[])).
% 37.30/23.70 tff(1238,plain,
% 37.30/23.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB5, bitIndex1)) | v26(constB5) | v124(constB5, bitIndex1)),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 37.30/23.70 tff(1239,plain,
% 37.30/23.70 ((~v121(constB5, bitIndex1)) | v124(constB5, bitIndex1)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1238, 576, 1005])).
% 37.30/23.70 tff(1240,plain,
% 37.30/23.70 (~v121(constB5, bitIndex1)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1239, 1232])).
% 37.30/23.70 tff(1241,plain,
% 37.30/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1)))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1242,plain,
% 37.30/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1)))),
% 37.30/23.70 inference(quant_inst,[status(thm)],[])).
% 37.30/23.70 tff(1243,plain,
% 37.30/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 37.30/23.70 tff(1244,plain,
% 37.30/23.70 (v121(constB5, bitIndex1) | (~v123(constB6, bitIndex1))),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1243, 594, 1017])).
% 37.30/23.70 tff(1245,plain,
% 37.30/23.70 (~v123(constB6, bitIndex1)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1244, 1240])).
% 37.30/23.70 tff(1246,plain,
% 37.30/23.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6)))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1247,plain,
% 37.30/23.70 (((~v84(constB6, bitIndex1)) | (~v94(constB6)) | v123(constB6, bitIndex1)) <=> ((~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6)))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1248,plain,
% 37.30/23.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~v94(constB6)) | v123(constB6, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6))))),
% 37.30/23.70 inference(monotonicity,[status(thm)],[1247])).
% 37.30/23.70 tff(1249,plain,
% 37.30/23.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~v94(constB6)) | v123(constB6, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6)))),
% 37.30/23.70 inference(transitivity,[status(thm)],[1248, 1246])).
% 37.30/23.70 tff(1250,plain,
% 37.30/23.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~v94(constB6)) | v123(constB6, bitIndex1))),
% 37.30/23.70 inference(quant_inst,[status(thm)],[])).
% 37.30/23.70 tff(1251,plain,
% 37.30/23.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | v123(constB6, bitIndex1) | (~v94(constB6))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 37.30/23.70 tff(1252,plain,
% 37.30/23.70 ((~v84(constB6, bitIndex1)) | (~v94(constB6))),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1251, 609, 1245])).
% 37.30/23.70 tff(1253,plain,
% 37.30/23.70 (~v84(constB6, bitIndex1)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1252, 1051])).
% 37.30/23.70 tff(1254,plain,
% 37.30/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1)))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1255,plain,
% 37.30/23.70 (((~nextState(constB6, constB7)) | v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1))) <=> (v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1)))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1256,plain,
% 37.30/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1))))),
% 37.30/23.70 inference(monotonicity,[status(thm)],[1255])).
% 37.30/23.70 tff(1257,plain,
% 37.30/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1)))),
% 37.30/23.70 inference(transitivity,[status(thm)],[1256, 1254])).
% 37.30/23.70 tff(1258,plain,
% 37.30/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1)))),
% 37.30/23.70 inference(quant_inst,[status(thm)],[])).
% 37.30/23.70 tff(1259,plain,
% 37.30/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex1))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 37.30/23.70 tff(1260,plain,
% 37.30/23.70 (v84(constB6, bitIndex1) | v94(constB7) | (~v84(constB7, bitIndex1))),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1259, 228, 1194])).
% 37.30/23.70 tff(1261,plain,
% 37.30/23.70 (v84(constB6, bitIndex1) | (~v84(constB7, bitIndex1))),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1260, 1206])).
% 37.30/23.70 tff(1262,plain,
% 37.30/23.70 (~v84(constB7, bitIndex1)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1261, 1253])).
% 37.30/23.70 tff(1263,plain,
% 37.30/23.70 (^[VarCurr: $i] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))),
% 37.30/23.70 inference(bind,[status(th)],[])).
% 37.30/23.70 tff(1264,plain,
% 37.30/23.70 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 37.30/23.70 inference(quant_intro,[status(thm)],[1263])).
% 37.30/23.70 tff(1265,plain,
% 37.30/23.70 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1266,plain,
% 37.30/23.70 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, bitIndex0) | v118(VarCurr)) <=> (v118(VarCurr) | v124(VarCurr, bitIndex0))), (((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) <=> ((v118(VarCurr) | v124(VarCurr, bitIndex0)) | v172(VarCurr)))), rewrite(((v118(VarCurr) | v124(VarCurr, bitIndex0)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), (((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))), ((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> ((v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v116(VarCurr)))), rewrite(((v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), ((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))), (((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> ((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v115(VarCurr)))), rewrite(((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), (((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))), ((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> ((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v145(VarCurr)))), rewrite(((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), ((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))), (((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v113(VarCurr)))), rewrite(((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), (((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))))),
% 37.30/23.70 inference(bind,[status(th)],[])).
% 37.30/23.70 tff(1267,plain,
% 37.30/23.70 (![VarCurr: $i] : ((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 37.30/23.70 inference(quant_intro,[status(thm)],[1266])).
% 37.30/23.70 tff(1268,axiom,(![VarCurr: $i] : ((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_1')).
% 37.30/23.70 tff(1269,plain,
% 37.30/23.70 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1268, 1267])).
% 37.30/23.70 tff(1270,plain,
% 37.30/23.70 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1269, 1265])).
% 37.30/23.70 tff(1271,plain,(
% 37.30/23.70 ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 37.30/23.70 inference(skolemize,[status(sab)],[1270])).
% 37.30/23.70 tff(1272,plain,
% 37.30/23.70 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1271, 1264])).
% 37.30/23.70 tff(1273,plain,
% 37.30/23.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB5) | v124(constB5, bitIndex0) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB5) | v124(constB5, bitIndex0) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1274,plain,
% 37.30/23.70 ((v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | v124(constB5, bitIndex0)) <=> (v145(constB5) | v124(constB5, bitIndex0) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1275,plain,
% 37.30/23.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | v124(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB5) | v124(constB5, bitIndex0) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5)))),
% 37.30/23.70 inference(monotonicity,[status(thm)],[1274])).
% 37.30/23.70 tff(1276,plain,
% 37.30/23.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | v124(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB5) | v124(constB5, bitIndex0) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5))),
% 37.30/23.70 inference(transitivity,[status(thm)],[1275, 1273])).
% 37.30/23.70 tff(1277,plain,
% 37.30/23.70 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB5) | v145(constB5) | v115(constB5) | v116(constB5) | v172(constB5) | v118(constB5) | v124(constB5, bitIndex0))),
% 37.30/23.70 inference(quant_inst,[status(thm)],[])).
% 37.30/23.70 tff(1278,plain,
% 37.30/23.70 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB5) | v124(constB5, bitIndex0) | v172(constB5) | v116(constB5) | v115(constB5) | v113(constB5) | v118(constB5)),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 37.30/23.70 tff(1279,plain,
% 37.30/23.70 (v124(constB5, bitIndex0)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1278, 1272, 1120, 1109, 1098, 1087, 1073, 1062])).
% 37.30/23.70 tff(1280,plain,
% 37.30/23.70 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)))),
% 37.30/23.70 inference(bind,[status(th)],[])).
% 37.30/23.70 tff(1281,plain,
% 37.30/23.70 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 37.30/23.70 inference(quant_intro,[status(thm)],[1280])).
% 37.30/23.70 tff(1282,plain,
% 37.30/23.70 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1283,plain,
% 37.30/23.70 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) <=> ((~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))), (((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (((~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) | v26(VarCurr)))), rewrite((((~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))), (((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))))),
% 37.30/23.70 inference(bind,[status(th)],[])).
% 37.30/23.70 tff(1284,plain,
% 37.30/23.70 (![VarCurr: $i] : ((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 37.30/23.70 inference(quant_intro,[status(thm)],[1283])).
% 37.30/23.70 tff(1285,axiom,(![VarCurr: $i] : ((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 37.30/23.70 tff(1286,plain,
% 37.30/23.70 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 37.30/23.70 tff(1287,plain,
% 37.30/23.70 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1286, 1282])).
% 37.30/23.70 tff(1288,plain,(
% 37.30/23.70 ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 37.30/23.70 inference(skolemize,[status(sab)],[1287])).
% 37.30/23.70 tff(1289,plain,
% 37.30/23.70 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1288, 1281])).
% 37.30/23.70 tff(1290,plain,
% 37.30/23.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1291,plain,
% 37.30/23.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))),
% 37.30/23.70 inference(quant_inst,[status(thm)],[])).
% 37.30/23.70 tff(1292,plain,
% 37.30/23.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0)),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 37.30/23.70 tff(1293,plain,
% 37.30/23.70 ((~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1292, 1289, 1005])).
% 37.30/23.70 tff(1294,plain,
% 37.30/23.70 (v121(constB5, bitIndex0)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1293, 1279])).
% 37.30/23.70 tff(1295,plain,
% 37.30/23.70 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)))),
% 37.30/23.70 inference(bind,[status(th)],[])).
% 37.30/23.70 tff(1296,plain,
% 37.30/23.70 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 37.30/23.70 inference(quant_intro,[status(thm)],[1295])).
% 37.30/23.70 tff(1297,plain,
% 37.30/23.70 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1298,plain,
% 37.30/23.70 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ((~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))), (((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> (((~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))), (((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))))),
% 37.30/23.70 inference(bind,[status(th)],[])).
% 37.30/23.70 tff(1299,plain,
% 37.30/23.70 (![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 37.30/23.70 inference(quant_intro,[status(thm)],[1298])).
% 37.30/23.70 tff(1300,axiom,(![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 37.30/23.70 tff(1301,plain,
% 37.30/23.70 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 37.30/23.70 tff(1302,plain,
% 37.30/23.70 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1301, 1297])).
% 37.30/23.70 tff(1303,plain,(
% 37.30/23.70 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 37.30/23.70 inference(skolemize,[status(sab)],[1302])).
% 37.30/23.70 tff(1304,plain,
% 37.30/23.70 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1303, 1296])).
% 37.30/23.70 tff(1305,plain,
% 37.30/23.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1306,plain,
% 37.30/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))),
% 37.30/23.70 inference(quant_inst,[status(thm)],[])).
% 37.30/23.70 tff(1307,plain,
% 37.30/23.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0)),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 37.30/23.70 tff(1308,plain,
% 37.30/23.70 ((~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1307, 1304, 1017])).
% 37.30/23.70 tff(1309,plain,
% 37.30/23.70 (v123(constB6, bitIndex0)),
% 37.30/23.70 inference(unit_resolution,[status(thm)],[1308, 1294])).
% 37.30/23.70 tff(1310,plain,
% 37.30/23.70 (^[VarNext: $i] : refl((v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))))),
% 37.30/23.70 inference(bind,[status(th)],[])).
% 37.30/23.70 tff(1311,plain,
% 37.30/23.70 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 37.30/23.70 inference(quant_intro,[status(thm)],[1310])).
% 37.30/23.70 tff(1312,plain,
% 37.30/23.70 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1313,plain,
% 37.30/23.70 (^[VarNext: $i] : trans(monotonicity(rewrite((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> (v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0)))), (((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))) <=> ((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))))), rewrite(((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))), (((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))))),
% 37.30/23.70 inference(bind,[status(th)],[])).
% 37.30/23.70 tff(1314,plain,
% 37.30/23.70 (![VarNext: $i] : ((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 37.30/23.70 inference(quant_intro,[status(thm)],[1313])).
% 37.30/23.70 tff(1315,axiom,(![VarNext: $i] : ((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 37.30/23.70 tff(1316,plain,
% 37.30/23.70 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1315, 1314])).
% 37.30/23.70 tff(1317,plain,
% 37.30/23.70 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1316, 1312])).
% 37.30/23.70 tff(1318,plain,(
% 37.30/23.70 ![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 37.30/23.70 inference(skolemize,[status(sab)],[1317])).
% 37.30/23.70 tff(1319,plain,
% 37.30/23.70 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 37.30/23.70 inference(modus_ponens,[status(thm)],[1318, 1311])).
% 37.30/23.70 tff(1320,plain,
% 37.30/23.70 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1321,plain,
% 37.30/23.70 ((v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0))) <=> (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 37.30/23.70 inference(rewrite,[status(thm)],[])).
% 37.30/23.70 tff(1322,plain,
% 37.30/23.70 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6))))),
% 37.30/23.70 inference(monotonicity,[status(thm)],[1321])).
% 37.30/23.70 tff(1323,plain,
% 37.30/23.70 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 37.30/23.70 inference(transitivity,[status(thm)],[1322, 1320])).
% 37.30/23.70 tff(1324,plain,
% 37.30/23.70 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))),
% 37.30/23.70 inference(quant_inst,[status(thm)],[])).
% 37.30/23.70 tff(1325,plain,
% 37.30/23.70 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 37.30/23.71 tff(1326,plain,
% 37.30/23.71 (v84(constB6, bitIndex0) | (~v94(constB6))),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1325, 1319, 1309])).
% 37.30/23.71 tff(1327,plain,
% 37.30/23.71 (v84(constB6, bitIndex0)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1326, 1051])).
% 37.30/23.71 tff(1328,plain,
% 37.30/23.71 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)))),
% 37.30/23.71 inference(bind,[status(th)],[])).
% 37.30/23.71 tff(1329,plain,
% 37.30/23.71 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 37.30/23.71 inference(quant_intro,[status(thm)],[1328])).
% 37.30/23.71 tff(1330,plain,
% 37.30/23.71 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1331,plain,
% 37.30/23.71 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarNext, bitIndex0))), (((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarNext, bitIndex0)) | v94(VarNext)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarNext, bitIndex0)) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))), (((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)))), ((((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))), ((((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))))),
% 37.30/23.71 inference(bind,[status(th)],[])).
% 37.30/23.71 tff(1332,plain,
% 37.30/23.71 (![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 37.30/23.71 inference(quant_intro,[status(thm)],[1331])).
% 37.30/23.71 tff(1333,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 37.30/23.71 tff(1334,plain,
% 37.30/23.71 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1333, 1332])).
% 37.30/23.71 tff(1335,plain,
% 37.30/23.71 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1334, 1330])).
% 37.30/23.71 tff(1336,plain,(
% 37.30/23.71 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 37.30/23.71 inference(skolemize,[status(sab)],[1335])).
% 37.30/23.71 tff(1337,plain,
% 37.30/23.71 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1336, 1329])).
% 37.30/23.71 tff(1338,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1339,plain,
% 37.30/23.71 (((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0)) <=> ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1340,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0)))),
% 37.30/23.71 inference(monotonicity,[status(thm)],[1339])).
% 37.30/23.71 tff(1341,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 37.30/23.71 inference(transitivity,[status(thm)],[1340, 1338])).
% 37.30/23.71 tff(1342,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1343,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0)),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1342, 1341])).
% 37.30/23.71 tff(1344,plain,
% 37.30/23.71 ((~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1343, 1337, 1194])).
% 37.30/23.71 tff(1345,plain,
% 37.30/23.71 ((~v84(constB6, bitIndex0)) | v84(constB7, bitIndex0)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1344, 1206])).
% 37.30/23.71 tff(1346,plain,
% 37.30/23.71 (v84(constB7, bitIndex0)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1345, 1327])).
% 37.30/23.71 tff(1347,plain,
% 37.30/23.71 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)))),
% 37.30/23.71 inference(bind,[status(th)],[])).
% 37.30/23.71 tff(1348,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 37.30/23.71 inference(quant_intro,[status(thm)],[1347])).
% 37.30/23.71 tff(1349,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1350,plain,
% 37.30/23.71 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr))), ((((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr)) | v84(VarCurr, bitIndex1)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))), ((((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))))),
% 37.30/23.71 inference(bind,[status(th)],[])).
% 37.30/23.71 tff(1351,plain,
% 37.30/23.71 (![VarCurr: $i] : (((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 37.30/23.71 inference(quant_intro,[status(thm)],[1350])).
% 37.30/23.71 tff(1352,axiom,(![VarCurr: $i] : (((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 37.30/23.71 tff(1353,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 37.30/23.71 tff(1354,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1353, 1349])).
% 37.30/23.71 tff(1355,plain,(
% 37.30/23.71 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 37.30/23.71 inference(skolemize,[status(sab)],[1354])).
% 37.30/23.71 tff(1356,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1355, 1348])).
% 37.30/23.71 tff(1357,plain,
% 37.30/23.71 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v145(constB7))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v145(constB7))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1358,plain,
% 37.30/23.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v145(constB7))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1359,plain,
% 37.30/23.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB7, bitIndex0)) | v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | v145(constB7)),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 37.30/23.71 tff(1360,plain,
% 37.30/23.71 (v145(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1359, 1356, 1346, 1262, 1215])).
% 37.30/23.71 tff(1361,plain,
% 37.30/23.71 (^[VarCurr: $i] : refl((v112(VarCurr) | (~v145(VarCurr))) <=> (v112(VarCurr) | (~v145(VarCurr))))),
% 37.30/23.71 inference(bind,[status(th)],[])).
% 37.30/23.71 tff(1362,plain,
% 37.30/23.71 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 37.30/23.71 inference(quant_intro,[status(thm)],[1361])).
% 37.30/23.71 tff(1363,plain,
% 37.30/23.71 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1364,axiom,(![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_1')).
% 37.30/23.71 tff(1365,plain,
% 37.30/23.71 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 37.30/23.71 tff(1366,plain,(
% 37.30/23.71 ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 37.30/23.71 inference(skolemize,[status(sab)],[1365])).
% 37.30/23.71 tff(1367,plain,
% 37.30/23.71 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1366, 1362])).
% 37.30/23.71 tff(1368,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB7) | (~v145(constB7)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB7) | (~v145(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1369,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB7) | (~v145(constB7)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1370,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB7) | (~v145(constB7))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1369, 1368])).
% 37.30/23.71 tff(1371,plain,
% 37.30/23.71 (v112(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1370, 1367, 1360])).
% 37.30/23.71 tff(1372,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB7) | (~v112(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1373,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB7) | (~v112(constB7)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1374,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB7) | (~v112(constB7))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 37.30/23.71 tff(1375,plain,
% 37.30/23.71 (v111(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1374, 292, 1371])).
% 37.30/23.71 tff(1376,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB7) | (~v111(constB7)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB7) | (~v111(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1377,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB7) | (~v111(constB7)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1378,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB7) | (~v111(constB7))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 37.30/23.71 tff(1379,plain,
% 37.30/23.71 (v110(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1378, 303, 1375])).
% 37.30/23.71 tff(1380,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB7) | (~v110(constB7)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB7) | (~v110(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1381,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB7) | (~v110(constB7)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1382,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB7) | (~v110(constB7))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 37.30/23.71 tff(1383,plain,
% 37.30/23.71 (v109(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1382, 314, 1379])).
% 37.30/23.71 tff(1384,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB7) | (~v109(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB7) | (~v109(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1385,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB7) | (~v109(constB7)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1386,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB7) | (~v109(constB7))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 37.30/23.71 tff(1387,plain,
% 37.30/23.71 (v108(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1386, 325, 1383])).
% 37.30/23.71 tff(1388,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB7) | (~v108(constB7)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB7) | (~v108(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1389,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB7) | (~v108(constB7)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1390,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB7) | (~v108(constB7))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 37.30/23.71 tff(1391,plain,
% 37.30/23.71 (v107(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1390, 336, 1387])).
% 37.30/23.71 tff(1392,assumption,(v26(constB7)), introduced(assumption)).
% 37.30/23.71 tff(1393,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1394,plain,
% 37.30/23.71 ($false),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1393, 120, 1392])).
% 37.30/23.71 tff(1395,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 37.30/23.71 tff(1396,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB7) | (~v107(constB7)) | v106(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB7) | (~v107(constB7)) | v106(constB7))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1397,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB7) | (~v107(constB7)) | v106(constB7))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1398,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB7) | (~v107(constB7)) | v106(constB7)),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 37.30/23.71 tff(1399,plain,
% 37.30/23.71 ((~v107(constB7)) | v106(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1398, 350, 1395])).
% 37.30/23.71 tff(1400,plain,
% 37.30/23.71 (v106(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1399, 1391])).
% 37.30/23.71 tff(1401,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB7) | (~v106(constB7)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB7) | (~v106(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1402,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB7) | (~v106(constB7)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1403,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB7) | (~v106(constB7))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 37.30/23.71 tff(1404,plain,
% 37.30/23.71 (v102(constB7)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1403, 362, 1400])).
% 37.30/23.71 tff(1405,plain,
% 37.30/23.71 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1406,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 37.30/23.71 tff(1407,plain,
% 37.30/23.71 (nextState(constB7, constB8)),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1406, 1405])).
% 37.30/23.71 tff(1408,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1409,plain,
% 37.30/23.71 (((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8)) <=> ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1410,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7))))),
% 37.30/23.71 inference(monotonicity,[status(thm)],[1409])).
% 37.30/23.71 tff(1411,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 37.30/23.71 inference(transitivity,[status(thm)],[1410, 1408])).
% 37.30/23.71 tff(1412,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1413,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 37.30/23.71 tff(1414,plain,
% 37.30/23.71 (v104(constB8) | (~v102(constB7))),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1413, 379, 1407])).
% 37.30/23.71 tff(1415,plain,
% 37.30/23.71 (v104(constB8)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1414, 1404])).
% 37.30/23.71 tff(1416,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1417,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1418,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1417, 1416])).
% 37.30/23.71 tff(1419,plain,
% 37.30/23.71 (~v98(constB8)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1418, 397, 1407, 1191])).
% 37.30/23.71 tff(1420,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1421,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1422,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB7, constB8)) | v96(constB8) | v98(constB8)),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1421, 1420])).
% 37.30/23.71 tff(1423,plain,
% 37.30/23.71 (v96(constB8) | v98(constB8)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1422, 411, 1407])).
% 37.30/23.71 tff(1424,plain,
% 37.30/23.71 (v96(constB8)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1423, 1419])).
% 37.30/23.71 tff(1425,plain,
% 37.30/23.71 (v1(constB8) <=> v1(constB8)),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1426,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 37.30/23.71 tff(1427,plain,
% 37.30/23.71 (v1(constB8)),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1426, 1425])).
% 37.30/23.71 tff(1428,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1429,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1430,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1429, 1428])).
% 37.30/23.71 tff(1431,plain,
% 37.30/23.71 (v95(constB8) | (~v96(constB8))),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1430, 429, 1407, 1427])).
% 37.30/23.71 tff(1432,plain,
% 37.30/23.71 (v95(constB8)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1431, 1424])).
% 37.30/23.71 tff(1433,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1434,plain,
% 37.30/23.71 (((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8)) <=> ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1435,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8))))),
% 37.30/23.71 inference(monotonicity,[status(thm)],[1434])).
% 37.30/23.71 tff(1436,plain,
% 37.30/23.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 37.30/23.71 inference(transitivity,[status(thm)],[1435, 1433])).
% 37.30/23.71 tff(1437,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1438,plain,
% 37.30/23.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 37.30/23.71 tff(1439,plain,
% 37.30/23.71 (v94(constB8) | (~v95(constB8)) | (~v104(constB8))),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1438, 444, 1407])).
% 37.30/23.71 tff(1440,plain,
% 37.30/23.71 (v94(constB8) | (~v104(constB8))),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1439, 1432])).
% 37.30/23.71 tff(1441,plain,
% 37.30/23.71 (v94(constB8)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1440, 1415])).
% 37.30/23.71 tff(1442,plain,
% 37.30/23.71 (^[VarCurr: $i] : refl(((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 37.30/23.71 inference(bind,[status(th)],[])).
% 37.30/23.71 tff(1443,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.71 inference(quant_intro,[status(thm)],[1442])).
% 37.30/23.71 tff(1444,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1445,plain,
% 37.30/23.71 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 37.30/23.71 inference(bind,[status(th)],[])).
% 37.30/23.71 tff(1446,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.71 inference(quant_intro,[status(thm)],[1445])).
% 37.30/23.71 tff(1447,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_3')).
% 37.30/23.71 tff(1448,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 37.30/23.71 tff(1449,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1448, 1444])).
% 37.30/23.71 tff(1450,plain,(
% 37.30/23.71 ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.71 inference(skolemize,[status(sab)],[1449])).
% 37.30/23.71 tff(1451,plain,
% 37.30/23.71 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1450, 1443])).
% 37.30/23.71 tff(1452,plain,
% 37.30/23.71 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB7)) | (~v124(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB7)) | (~v124(constB7, bitIndex2)))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1453,plain,
% 37.30/23.71 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB7)) | (~v124(constB7, bitIndex2)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1454,plain,
% 37.30/23.71 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB7)) | (~v124(constB7, bitIndex2))),
% 37.30/23.71 inference(modus_ponens,[status(thm)],[1453, 1452])).
% 37.30/23.71 tff(1455,plain,
% 37.30/23.71 (~v124(constB7, bitIndex2)),
% 37.30/23.71 inference(unit_resolution,[status(thm)],[1454, 1451, 1360])).
% 37.30/23.71 tff(1456,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1457,plain,
% 37.30/23.71 ((v26(constB7) | v124(constB7, bitIndex2) | (~v121(constB7, bitIndex2))) <=> ((~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2))),
% 37.30/23.71 inference(rewrite,[status(thm)],[])).
% 37.30/23.71 tff(1458,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB7) | v124(constB7, bitIndex2) | (~v121(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2)))),
% 37.30/23.71 inference(monotonicity,[status(thm)],[1457])).
% 37.30/23.71 tff(1459,plain,
% 37.30/23.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB7) | v124(constB7, bitIndex2) | (~v121(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2))),
% 37.30/23.71 inference(transitivity,[status(thm)],[1458, 1456])).
% 37.30/23.71 tff(1460,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB7) | v124(constB7, bitIndex2) | (~v121(constB7, bitIndex2)))),
% 37.30/23.71 inference(quant_inst,[status(thm)],[])).
% 37.30/23.71 tff(1461,plain,
% 37.30/23.71 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB7, bitIndex2)) | v26(constB7) | v124(constB7, bitIndex2)),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1460, 1459])).
% 37.30/23.72 tff(1462,plain,
% 37.30/23.72 ((~v121(constB7, bitIndex2)) | v124(constB7, bitIndex2)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1461, 1147, 1395])).
% 37.30/23.72 tff(1463,plain,
% 37.30/23.72 (~v121(constB7, bitIndex2)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1462, 1455])).
% 37.30/23.72 tff(1464,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1465,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2)))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1466,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 37.30/23.72 tff(1467,plain,
% 37.30/23.72 (v121(constB7, bitIndex2) | (~v123(constB8, bitIndex2))),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1466, 1165, 1407])).
% 37.30/23.72 tff(1468,plain,
% 37.30/23.72 (~v123(constB8, bitIndex2)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1467, 1463])).
% 37.30/23.72 tff(1469,plain,
% 37.30/23.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1470,plain,
% 37.30/23.72 (((~v84(constB8, bitIndex2)) | (~v94(constB8)) | v123(constB8, bitIndex2)) <=> ((~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1471,plain,
% 37.30/23.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | (~v94(constB8)) | v123(constB8, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8))))),
% 37.30/23.72 inference(monotonicity,[status(thm)],[1470])).
% 37.30/23.72 tff(1472,plain,
% 37.30/23.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | (~v94(constB8)) | v123(constB8, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8)))),
% 37.30/23.72 inference(transitivity,[status(thm)],[1471, 1469])).
% 37.30/23.72 tff(1473,plain,
% 37.30/23.72 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | (~v94(constB8)) | v123(constB8, bitIndex2))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1474,plain,
% 37.30/23.72 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | v123(constB8, bitIndex2) | (~v94(constB8))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1473, 1472])).
% 37.30/23.72 tff(1475,plain,
% 37.30/23.72 ((~v84(constB8, bitIndex2)) | (~v94(constB8))),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1474, 1180, 1468])).
% 37.30/23.72 tff(1476,plain,
% 37.30/23.72 (~v84(constB8, bitIndex2)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1475, 1441])).
% 37.30/23.72 tff(1477,plain,
% 37.30/23.72 ((~v1(constB9)) <=> (~v1(constB9))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1478,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 37.30/23.72 tff(1479,plain,
% 37.30/23.72 (~v1(constB9)),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1478, 1477])).
% 37.30/23.72 tff(1480,plain,
% 37.30/23.72 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1481,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 37.30/23.72 tff(1482,plain,
% 37.30/23.72 (nextState(constB8, constB9)),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1481, 1480])).
% 37.30/23.72 tff(1483,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1484,plain,
% 37.30/23.72 (((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1485,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9))))),
% 37.30/23.72 inference(monotonicity,[status(thm)],[1484])).
% 37.30/23.72 tff(1486,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 37.30/23.72 inference(transitivity,[status(thm)],[1485, 1483])).
% 37.30/23.72 tff(1487,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1488,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1487, 1486])).
% 37.30/23.72 tff(1489,plain,
% 37.30/23.72 (~v95(constB9)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1488, 175, 1482, 1479])).
% 37.30/23.72 tff(1490,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1491,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1492,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 37.30/23.72 tff(1493,plain,
% 37.30/23.72 (v95(constB9) | (~v94(constB9))),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1492, 192, 1482])).
% 37.30/23.72 tff(1494,plain,
% 37.30/23.72 (~v94(constB9)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1493, 1489])).
% 37.30/23.72 tff(1495,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1496,plain,
% 37.30/23.72 (((~nextState(constB8, constB9)) | v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2))) <=> (v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1497,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2))))),
% 37.30/23.72 inference(monotonicity,[status(thm)],[1496])).
% 37.30/23.72 tff(1498,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2)))),
% 37.30/23.72 inference(transitivity,[status(thm)],[1497, 1495])).
% 37.30/23.72 tff(1499,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2)))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1500,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex2))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 37.30/23.72 tff(1501,plain,
% 37.30/23.72 (v84(constB8, bitIndex2) | v94(constB9) | (~v84(constB9, bitIndex2))),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1500, 207, 1482])).
% 37.30/23.72 tff(1502,plain,
% 37.30/23.72 (v84(constB8, bitIndex2) | (~v84(constB9, bitIndex2))),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1501, 1494])).
% 37.30/23.72 tff(1503,plain,
% 37.30/23.72 (~v84(constB9, bitIndex2)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1502, 1476])).
% 37.30/23.72 tff(1504,plain,
% 37.30/23.72 (^[VarCurr: $i] : refl(((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 37.30/23.72 inference(bind,[status(th)],[])).
% 37.30/23.72 tff(1505,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.72 inference(quant_intro,[status(thm)],[1504])).
% 37.30/23.72 tff(1506,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1507,plain,
% 37.30/23.72 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex1) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 37.30/23.72 inference(bind,[status(th)],[])).
% 37.30/23.72 tff(1508,plain,
% 37.30/23.72 (![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.72 inference(quant_intro,[status(thm)],[1507])).
% 37.30/23.72 tff(1509,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_2')).
% 37.30/23.72 tff(1510,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 37.30/23.72 tff(1511,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1510, 1506])).
% 37.30/23.72 tff(1512,plain,(
% 37.30/23.72 ![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.72 inference(skolemize,[status(sab)],[1511])).
% 37.30/23.72 tff(1513,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1512, 1505])).
% 37.30/23.72 tff(1514,plain,
% 37.30/23.72 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB7)) | v124(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB7)) | v124(constB7, bitIndex1))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1515,plain,
% 37.30/23.72 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB7)) | v124(constB7, bitIndex1))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1516,plain,
% 37.30/23.72 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB7)) | v124(constB7, bitIndex1)),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 37.30/23.72 tff(1517,plain,
% 37.30/23.72 (v124(constB7, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1516, 1513, 1360])).
% 37.30/23.72 tff(1518,plain,
% 37.30/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB7) | (~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB7) | (~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1519,plain,
% 37.30/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB7) | (~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1520,plain,
% 37.30/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB7) | (~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1)),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 37.30/23.72 tff(1521,plain,
% 37.30/23.72 ((~v124(constB7, bitIndex1)) | v121(constB7, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1520, 875, 1395])).
% 37.30/23.72 tff(1522,plain,
% 37.30/23.72 (v121(constB7, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1521, 1517])).
% 37.30/23.72 tff(1523,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1524,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1525,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1)),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1524, 1523])).
% 37.30/23.72 tff(1526,plain,
% 37.30/23.72 ((~v121(constB7, bitIndex1)) | v123(constB8, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1525, 890, 1407])).
% 37.30/23.72 tff(1527,plain,
% 37.30/23.72 (v123(constB8, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1526, 1522])).
% 37.30/23.72 tff(1528,plain,
% 37.30/23.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1529,plain,
% 37.30/23.72 ((v84(constB8, bitIndex1) | (~v94(constB8)) | (~v123(constB8, bitIndex1))) <=> (v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1530,plain,
% 37.30/23.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v94(constB8)) | (~v123(constB8, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8))))),
% 37.30/23.72 inference(monotonicity,[status(thm)],[1529])).
% 37.30/23.72 tff(1531,plain,
% 37.30/23.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v94(constB8)) | (~v123(constB8, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8)))),
% 37.30/23.72 inference(transitivity,[status(thm)],[1530, 1528])).
% 37.30/23.72 tff(1532,plain,
% 37.30/23.72 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~v94(constB8)) | (~v123(constB8, bitIndex1)))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1533,plain,
% 37.30/23.72 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~v123(constB8, bitIndex1)) | (~v94(constB8))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 37.30/23.72 tff(1534,plain,
% 37.30/23.72 (v84(constB8, bitIndex1) | (~v94(constB8))),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1533, 905, 1527])).
% 37.30/23.72 tff(1535,plain,
% 37.30/23.72 (v84(constB8, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1534, 1441])).
% 37.30/23.72 tff(1536,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1537,plain,
% 37.30/23.72 (((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1)) <=> ((~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1538,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1)))),
% 37.30/23.72 inference(monotonicity,[status(thm)],[1537])).
% 37.30/23.72 tff(1539,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1))),
% 37.30/23.72 inference(transitivity,[status(thm)],[1538, 1536])).
% 37.30/23.72 tff(1540,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1541,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex1)),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1540, 1539])).
% 37.30/23.72 tff(1542,plain,
% 37.30/23.72 ((~v84(constB8, bitIndex1)) | v94(constB9) | v84(constB9, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1541, 923, 1482])).
% 37.30/23.72 tff(1543,plain,
% 37.30/23.72 ((~v84(constB8, bitIndex1)) | v84(constB9, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1542, 1494])).
% 37.30/23.72 tff(1544,plain,
% 37.30/23.72 (v84(constB9, bitIndex1)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1543, 1535])).
% 37.30/23.72 tff(1545,plain,
% 37.30/23.72 (^[VarCurr: $i] : refl(((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 37.30/23.72 inference(bind,[status(th)],[])).
% 37.30/23.72 tff(1546,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.30/23.72 inference(quant_intro,[status(thm)],[1545])).
% 37.30/23.72 tff(1547,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1548,plain,
% 37.30/23.72 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex0)) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 37.30/23.72 inference(bind,[status(th)],[])).
% 37.30/23.72 tff(1549,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.30/23.72 inference(quant_intro,[status(thm)],[1548])).
% 37.30/23.72 tff(1550,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 37.30/23.72 tff(1551,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 37.30/23.72 tff(1552,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1551, 1547])).
% 37.30/23.72 tff(1553,plain,(
% 37.30/23.72 ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.30/23.72 inference(skolemize,[status(sab)],[1552])).
% 37.30/23.72 tff(1554,plain,
% 37.30/23.72 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1553, 1546])).
% 37.30/23.72 tff(1555,plain,
% 37.30/23.72 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB7)) | (~v124(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB7)) | (~v124(constB7, bitIndex0)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1556,plain,
% 37.30/23.72 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB7)) | (~v124(constB7, bitIndex0)))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1557,plain,
% 37.30/23.72 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB7)) | (~v124(constB7, bitIndex0))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 37.30/23.72 tff(1558,plain,
% 37.30/23.72 (~v124(constB7, bitIndex0)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1557, 1554, 1360])).
% 37.30/23.72 tff(1559,plain,
% 37.30/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1560,plain,
% 37.30/23.72 ((v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0))) <=> ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1561,plain,
% 37.30/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0)))),
% 37.30/23.72 inference(monotonicity,[status(thm)],[1560])).
% 37.30/23.72 tff(1562,plain,
% 37.30/23.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 37.30/23.72 inference(transitivity,[status(thm)],[1561, 1559])).
% 37.30/23.72 tff(1563,plain,
% 37.30/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1564,plain,
% 37.30/23.72 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0)),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1563, 1562])).
% 37.30/23.72 tff(1565,plain,
% 37.30/23.72 ((~v121(constB7, bitIndex0)) | v124(constB7, bitIndex0)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1564, 650, 1395])).
% 37.30/23.72 tff(1566,plain,
% 37.30/23.72 (~v121(constB7, bitIndex0)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1565, 1558])).
% 37.30/23.72 tff(1567,plain,
% 37.30/23.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1568,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1569,plain,
% 37.30/23.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0))),
% 37.30/23.72 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 37.30/23.72 tff(1570,plain,
% 37.30/23.72 (v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0))),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1569, 668, 1407])).
% 37.30/23.72 tff(1571,plain,
% 37.30/23.72 (~v123(constB8, bitIndex0)),
% 37.30/23.72 inference(unit_resolution,[status(thm)],[1570, 1566])).
% 37.30/23.72 tff(1572,plain,
% 37.30/23.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1573,plain,
% 37.30/23.72 (((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0)) <=> ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 37.30/23.72 inference(rewrite,[status(thm)],[])).
% 37.30/23.72 tff(1574,plain,
% 37.30/23.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8))))),
% 37.30/23.72 inference(monotonicity,[status(thm)],[1573])).
% 37.30/23.72 tff(1575,plain,
% 37.30/23.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 37.30/23.72 inference(transitivity,[status(thm)],[1574, 1572])).
% 37.30/23.72 tff(1576,plain,
% 37.30/23.72 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))),
% 37.30/23.72 inference(quant_inst,[status(thm)],[])).
% 37.30/23.72 tff(1577,plain,
% 37.30/23.72 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 37.30/23.73 tff(1578,plain,
% 37.30/23.73 ((~v84(constB8, bitIndex0)) | (~v94(constB8))),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1577, 683, 1571])).
% 37.30/23.73 tff(1579,plain,
% 37.30/23.73 (~v84(constB8, bitIndex0)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1578, 1441])).
% 37.30/23.73 tff(1580,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1581,plain,
% 37.30/23.73 (((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0))) <=> (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1582,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0))))),
% 37.30/23.73 inference(monotonicity,[status(thm)],[1581])).
% 37.30/23.73 tff(1583,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 37.30/23.73 inference(transitivity,[status(thm)],[1582, 1580])).
% 37.30/23.73 tff(1584,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1585,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 37.30/23.73 tff(1586,plain,
% 37.30/23.73 (v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0))),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1585, 249, 1482])).
% 37.30/23.73 tff(1587,plain,
% 37.30/23.73 (v84(constB8, bitIndex0) | (~v84(constB9, bitIndex0))),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1586, 1494])).
% 37.30/23.73 tff(1588,plain,
% 37.30/23.73 (~v84(constB9, bitIndex0)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1587, 1579])).
% 37.30/23.73 tff(1589,plain,
% 37.30/23.73 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)))),
% 37.30/23.73 inference(bind,[status(th)],[])).
% 37.30/23.73 tff(1590,plain,
% 37.30/23.73 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 37.30/23.73 inference(quant_intro,[status(thm)],[1589])).
% 37.30/23.73 tff(1591,plain,
% 37.30/23.73 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1592,plain,
% 37.30/23.73 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))), ((((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite((((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))), ((((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))))),
% 37.30/23.73 inference(bind,[status(th)],[])).
% 37.30/23.73 tff(1593,plain,
% 37.30/23.73 (![VarCurr: $i] : (((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 37.30/23.73 inference(quant_intro,[status(thm)],[1592])).
% 37.30/23.73 tff(1594,axiom,(![VarCurr: $i] : (((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 37.30/23.73 tff(1595,plain,
% 37.30/23.73 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1594, 1593])).
% 37.30/23.73 tff(1596,plain,
% 37.30/23.73 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1595, 1591])).
% 37.30/23.73 tff(1597,plain,(
% 37.30/23.73 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 37.30/23.73 inference(skolemize,[status(sab)],[1596])).
% 37.30/23.73 tff(1598,plain,
% 37.30/23.73 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1597, 1590])).
% 37.30/23.73 tff(1599,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB9, bitIndex0) | (~v84(constB9, bitIndex1)) | v84(constB9, bitIndex2) | v115(constB9))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB9, bitIndex0) | (~v84(constB9, bitIndex1)) | v84(constB9, bitIndex2) | v115(constB9))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1600,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB9, bitIndex0) | (~v84(constB9, bitIndex1)) | v84(constB9, bitIndex2) | v115(constB9))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1601,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB9, bitIndex0) | (~v84(constB9, bitIndex1)) | v84(constB9, bitIndex2) | v115(constB9)),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1600, 1599])).
% 37.30/23.73 tff(1602,plain,
% 37.30/23.73 (v115(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1601, 1598, 1588, 1544, 1503])).
% 37.30/23.73 tff(1603,plain,
% 37.30/23.73 (^[VarCurr: $i] : refl((v111(VarCurr) | (~v115(VarCurr))) <=> (v111(VarCurr) | (~v115(VarCurr))))),
% 37.30/23.73 inference(bind,[status(th)],[])).
% 37.30/23.73 tff(1604,plain,
% 37.30/23.73 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 37.30/23.73 inference(quant_intro,[status(thm)],[1603])).
% 37.30/23.73 tff(1605,plain,
% 37.30/23.73 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1606,axiom,(![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 37.30/23.73 tff(1607,plain,
% 37.30/23.73 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1606, 1605])).
% 37.30/23.73 tff(1608,plain,(
% 37.30/23.73 ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 37.30/23.73 inference(skolemize,[status(sab)],[1607])).
% 37.30/23.73 tff(1609,plain,
% 37.30/23.73 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1608, 1604])).
% 37.30/23.73 tff(1610,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB9) | (~v115(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1611,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB9) | (~v115(constB9)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1612,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB9) | (~v115(constB9))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 37.30/23.73 tff(1613,plain,
% 37.30/23.73 (v111(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1612, 1609, 1602])).
% 37.30/23.73 tff(1614,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB9) | (~v111(constB9)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB9) | (~v111(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1615,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB9) | (~v111(constB9)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1616,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB9) | (~v111(constB9))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1615, 1614])).
% 37.30/23.73 tff(1617,plain,
% 37.30/23.73 (v110(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1616, 303, 1613])).
% 37.30/23.73 tff(1618,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB9) | (~v110(constB9)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB9) | (~v110(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1619,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB9) | (~v110(constB9)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1620,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB9) | (~v110(constB9))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 37.30/23.73 tff(1621,plain,
% 37.30/23.73 (v109(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1620, 314, 1617])).
% 37.30/23.73 tff(1622,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB9) | (~v109(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB9) | (~v109(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1623,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB9) | (~v109(constB9)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1624,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB9) | (~v109(constB9))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1623, 1622])).
% 37.30/23.73 tff(1625,plain,
% 37.30/23.73 (v108(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1624, 325, 1621])).
% 37.30/23.73 tff(1626,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB9) | (~v108(constB9)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB9) | (~v108(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1627,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB9) | (~v108(constB9)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1628,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB9) | (~v108(constB9))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 37.30/23.73 tff(1629,plain,
% 37.30/23.73 (v107(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1628, 336, 1625])).
% 37.30/23.73 tff(1630,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | v106(constB9) | (~v107(constB9)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1631,plain,
% 37.30/23.73 ((v26(constB9) | (~v107(constB9)) | v106(constB9)) <=> (v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1632,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | v106(constB9) | (~v107(constB9))))),
% 37.30/23.73 inference(monotonicity,[status(thm)],[1631])).
% 37.30/23.73 tff(1633,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 37.30/23.73 inference(transitivity,[status(thm)],[1632, 1630])).
% 37.30/23.73 tff(1634,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1635,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 37.30/23.73 tff(1636,plain,
% 37.30/23.73 (v26(constB9) | v106(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1635, 350, 1629])).
% 37.30/23.73 tff(1637,plain,
% 37.30/23.73 (v106(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1636, 151])).
% 37.30/23.73 tff(1638,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB9) | (~v106(constB9)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB9) | (~v106(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1639,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB9) | (~v106(constB9)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1640,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB9) | (~v106(constB9))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 37.30/23.73 tff(1641,plain,
% 37.30/23.73 (v102(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1640, 362, 1637])).
% 37.30/23.73 tff(1642,plain,
% 37.30/23.73 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1643,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 37.30/23.73 tff(1644,plain,
% 37.30/23.73 (nextState(constB9, constB10)),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 37.30/23.73 tff(1645,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1646,plain,
% 37.30/23.73 (((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10)) <=> ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1647,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9))))),
% 37.30/23.73 inference(monotonicity,[status(thm)],[1646])).
% 37.30/23.73 tff(1648,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 37.30/23.73 inference(transitivity,[status(thm)],[1647, 1645])).
% 37.30/23.73 tff(1649,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1650,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 37.30/23.73 tff(1651,plain,
% 37.30/23.73 (v104(constB10) | (~v102(constB9))),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1650, 379, 1644])).
% 37.30/23.73 tff(1652,plain,
% 37.30/23.73 (v104(constB10)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1651, 1641])).
% 37.30/23.73 tff(1653,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1654,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1655,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 37.30/23.73 tff(1656,plain,
% 37.30/23.73 (~v98(constB10)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1655, 397, 1644, 1479])).
% 37.30/23.73 tff(1657,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1658,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1659,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB9, constB10)) | v96(constB10) | v98(constB10)),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 37.30/23.73 tff(1660,plain,
% 37.30/23.73 (v96(constB10) | v98(constB10)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1659, 411, 1644])).
% 37.30/23.73 tff(1661,plain,
% 37.30/23.73 (v96(constB10)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1660, 1656])).
% 37.30/23.73 tff(1662,plain,
% 37.30/23.73 (v1(constB10) <=> v1(constB10)),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1663,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 37.30/23.73 tff(1664,plain,
% 37.30/23.73 (v1(constB10)),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 37.30/23.73 tff(1665,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1666,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1667,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 37.30/23.73 tff(1668,plain,
% 37.30/23.73 (v95(constB10) | (~v96(constB10))),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1667, 429, 1644, 1664])).
% 37.30/23.73 tff(1669,plain,
% 37.30/23.73 (v95(constB10)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1668, 1661])).
% 37.30/23.73 tff(1670,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1671,plain,
% 37.30/23.73 (((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10)) <=> ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1672,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10))))),
% 37.30/23.73 inference(monotonicity,[status(thm)],[1671])).
% 37.30/23.73 tff(1673,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 37.30/23.73 inference(transitivity,[status(thm)],[1672, 1670])).
% 37.30/23.73 tff(1674,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1675,plain,
% 37.30/23.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 37.30/23.73 tff(1676,plain,
% 37.30/23.73 (v94(constB10) | (~v95(constB10)) | (~v104(constB10))),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1675, 444, 1644])).
% 37.30/23.73 tff(1677,plain,
% 37.30/23.73 (v94(constB10) | (~v104(constB10))),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1676, 1669])).
% 37.30/23.73 tff(1678,plain,
% 37.30/23.73 (v94(constB10)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1677, 1652])).
% 37.30/23.73 tff(1679,plain,
% 37.30/23.73 (^[VarCurr: $i] : refl(((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 37.30/23.73 inference(bind,[status(th)],[])).
% 37.30/23.73 tff(1680,plain,
% 37.30/23.73 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.73 inference(quant_intro,[status(thm)],[1679])).
% 37.30/23.73 tff(1681,plain,
% 37.30/23.73 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1682,plain,
% 37.30/23.73 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 37.30/23.73 inference(bind,[status(th)],[])).
% 37.30/23.73 tff(1683,plain,
% 37.30/23.73 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.73 inference(quant_intro,[status(thm)],[1682])).
% 37.30/23.73 tff(1684,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_3')).
% 37.30/23.73 tff(1685,plain,
% 37.30/23.73 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1684, 1683])).
% 37.30/23.73 tff(1686,plain,
% 37.30/23.73 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1685, 1681])).
% 37.30/23.73 tff(1687,plain,(
% 37.30/23.73 ![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.73 inference(skolemize,[status(sab)],[1686])).
% 37.30/23.73 tff(1688,plain,
% 37.30/23.73 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1687, 1680])).
% 37.30/23.73 tff(1689,plain,
% 37.30/23.73 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB9)) | (~v124(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB9)) | (~v124(constB9, bitIndex2)))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1690,plain,
% 37.30/23.73 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB9)) | (~v124(constB9, bitIndex2)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1691,plain,
% 37.30/23.73 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB9)) | (~v124(constB9, bitIndex2))),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 37.30/23.73 tff(1692,plain,
% 37.30/23.73 (~v124(constB9, bitIndex2)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1691, 1688, 1602])).
% 37.30/23.73 tff(1693,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1694,plain,
% 37.30/23.73 ((v26(constB9) | v124(constB9, bitIndex2) | (~v121(constB9, bitIndex2))) <=> ((~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2))),
% 37.30/23.73 inference(rewrite,[status(thm)],[])).
% 37.30/23.73 tff(1695,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB9) | v124(constB9, bitIndex2) | (~v121(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2)))),
% 37.30/23.73 inference(monotonicity,[status(thm)],[1694])).
% 37.30/23.73 tff(1696,plain,
% 37.30/23.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB9) | v124(constB9, bitIndex2) | (~v121(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2))),
% 37.30/23.73 inference(transitivity,[status(thm)],[1695, 1693])).
% 37.30/23.73 tff(1697,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB9) | v124(constB9, bitIndex2) | (~v121(constB9, bitIndex2)))),
% 37.30/23.73 inference(quant_inst,[status(thm)],[])).
% 37.30/23.73 tff(1698,plain,
% 37.30/23.73 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB9, bitIndex2)) | v26(constB9) | v124(constB9, bitIndex2)),
% 37.30/23.73 inference(modus_ponens,[status(thm)],[1697, 1696])).
% 37.30/23.73 tff(1699,plain,
% 37.30/23.73 ((~v121(constB9, bitIndex2)) | v26(constB9)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1698, 1147, 1692])).
% 37.30/23.73 tff(1700,plain,
% 37.30/23.73 (~v121(constB9, bitIndex2)),
% 37.30/23.73 inference(unit_resolution,[status(thm)],[1699, 151])).
% 37.30/23.73 tff(1701,plain,
% 37.30/23.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1702,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2)))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1703,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1702, 1701])).
% 37.30/23.74 tff(1704,plain,
% 37.30/23.74 (v121(constB9, bitIndex2) | (~v123(constB10, bitIndex2))),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1703, 1165, 1644])).
% 37.30/23.74 tff(1705,plain,
% 37.30/23.74 (~v123(constB10, bitIndex2)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1704, 1700])).
% 37.30/23.74 tff(1706,plain,
% 37.30/23.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1707,plain,
% 37.30/23.74 (((~v84(constB10, bitIndex2)) | (~v94(constB10)) | v123(constB10, bitIndex2)) <=> ((~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1708,plain,
% 37.30/23.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | (~v94(constB10)) | v123(constB10, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10))))),
% 37.30/23.74 inference(monotonicity,[status(thm)],[1707])).
% 37.30/23.74 tff(1709,plain,
% 37.30/23.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | (~v94(constB10)) | v123(constB10, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10)))),
% 37.30/23.74 inference(transitivity,[status(thm)],[1708, 1706])).
% 37.30/23.74 tff(1710,plain,
% 37.30/23.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | (~v94(constB10)) | v123(constB10, bitIndex2))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1711,plain,
% 37.30/23.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | v123(constB10, bitIndex2) | (~v94(constB10))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1710, 1709])).
% 37.30/23.74 tff(1712,plain,
% 37.30/23.74 ((~v84(constB10, bitIndex2)) | (~v94(constB10))),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1711, 1180, 1705])).
% 37.30/23.74 tff(1713,plain,
% 37.30/23.74 (~v84(constB10, bitIndex2)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1712, 1678])).
% 37.30/23.74 tff(1714,plain,
% 37.30/23.74 ((~v1(constB11)) <=> (~v1(constB11))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1715,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 37.30/23.74 tff(1716,plain,
% 37.30/23.74 (~v1(constB11)),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 37.30/23.74 tff(1717,plain,
% 37.30/23.74 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1718,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 37.30/23.74 tff(1719,plain,
% 37.30/23.74 (nextState(constB10, constB11)),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 37.30/23.74 tff(1720,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1721,plain,
% 37.30/23.74 (((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1722,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11))))),
% 37.30/23.74 inference(monotonicity,[status(thm)],[1721])).
% 37.30/23.74 tff(1723,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 37.30/23.74 inference(transitivity,[status(thm)],[1722, 1720])).
% 37.30/23.74 tff(1724,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1725,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1724, 1723])).
% 37.30/23.74 tff(1726,plain,
% 37.30/23.74 (~v95(constB11)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1725, 175, 1719, 1716])).
% 37.30/23.74 tff(1727,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1728,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1729,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1728, 1727])).
% 37.30/23.74 tff(1730,plain,
% 37.30/23.74 (v95(constB11) | (~v94(constB11))),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1729, 192, 1719])).
% 37.30/23.74 tff(1731,plain,
% 37.30/23.74 (~v94(constB11)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1730, 1726])).
% 37.30/23.74 tff(1732,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1733,plain,
% 37.30/23.74 (((~nextState(constB10, constB11)) | v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2))) <=> (v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1734,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2))))),
% 37.30/23.74 inference(monotonicity,[status(thm)],[1733])).
% 37.30/23.74 tff(1735,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2)))),
% 37.30/23.74 inference(transitivity,[status(thm)],[1734, 1732])).
% 37.30/23.74 tff(1736,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2)))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1737,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex2))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 37.30/23.74 tff(1738,plain,
% 37.30/23.74 (v84(constB10, bitIndex2) | v94(constB11) | (~v84(constB11, bitIndex2))),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1737, 207, 1719])).
% 37.30/23.74 tff(1739,plain,
% 37.30/23.74 (v84(constB10, bitIndex2) | (~v84(constB11, bitIndex2))),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1738, 1731])).
% 37.30/23.74 tff(1740,plain,
% 37.30/23.74 (~v84(constB11, bitIndex2)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1739, 1713])).
% 37.30/23.74 tff(1741,plain,
% 37.30/23.74 (^[VarCurr: $i] : refl(((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 37.30/23.74 inference(bind,[status(th)],[])).
% 37.30/23.74 tff(1742,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.74 inference(quant_intro,[status(thm)],[1741])).
% 37.30/23.74 tff(1743,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1744,plain,
% 37.30/23.74 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 37.30/23.74 inference(bind,[status(th)],[])).
% 37.30/23.74 tff(1745,plain,
% 37.30/23.74 (![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.74 inference(quant_intro,[status(thm)],[1744])).
% 37.30/23.74 tff(1746,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_2')).
% 37.30/23.74 tff(1747,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 37.30/23.74 tff(1748,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1747, 1743])).
% 37.30/23.74 tff(1749,plain,(
% 37.30/23.74 ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.74 inference(skolemize,[status(sab)],[1748])).
% 37.30/23.74 tff(1750,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1749, 1742])).
% 37.30/23.74 tff(1751,plain,
% 37.30/23.74 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB9)) | v124(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB9)) | v124(constB9, bitIndex1))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1752,plain,
% 37.30/23.74 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB9)) | v124(constB9, bitIndex1))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1753,plain,
% 37.30/23.74 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB9)) | v124(constB9, bitIndex1)),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 37.30/23.74 tff(1754,plain,
% 37.30/23.74 (v124(constB9, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1753, 1750, 1602])).
% 37.30/23.74 tff(1755,plain,
% 37.30/23.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB9) | (~v124(constB9, bitIndex1)) | v121(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB9) | (~v124(constB9, bitIndex1)) | v121(constB9, bitIndex1))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1756,plain,
% 37.30/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB9) | (~v124(constB9, bitIndex1)) | v121(constB9, bitIndex1))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1757,plain,
% 37.30/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB9) | (~v124(constB9, bitIndex1)) | v121(constB9, bitIndex1)),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 37.30/23.74 tff(1758,plain,
% 37.30/23.74 (v26(constB9) | v121(constB9, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1757, 875, 1754])).
% 37.30/23.74 tff(1759,plain,
% 37.30/23.74 (v121(constB9, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1758, 151])).
% 37.30/23.74 tff(1760,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1761,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1762,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1)),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1761, 1760])).
% 37.30/23.74 tff(1763,plain,
% 37.30/23.74 ((~v121(constB9, bitIndex1)) | v123(constB10, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1762, 890, 1644])).
% 37.30/23.74 tff(1764,plain,
% 37.30/23.74 (v123(constB10, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1763, 1759])).
% 37.30/23.74 tff(1765,plain,
% 37.30/23.74 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1766,plain,
% 37.30/23.74 ((v84(constB10, bitIndex1) | (~v94(constB10)) | (~v123(constB10, bitIndex1))) <=> (v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10)))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1767,plain,
% 37.30/23.74 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v94(constB10)) | (~v123(constB10, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10))))),
% 37.30/23.74 inference(monotonicity,[status(thm)],[1766])).
% 37.30/23.74 tff(1768,plain,
% 37.30/23.74 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v94(constB10)) | (~v123(constB10, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10)))),
% 37.30/23.74 inference(transitivity,[status(thm)],[1767, 1765])).
% 37.30/23.74 tff(1769,plain,
% 37.30/23.74 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~v94(constB10)) | (~v123(constB10, bitIndex1)))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1770,plain,
% 37.30/23.74 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~v123(constB10, bitIndex1)) | (~v94(constB10))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 37.30/23.74 tff(1771,plain,
% 37.30/23.74 (v84(constB10, bitIndex1) | (~v94(constB10))),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1770, 905, 1764])).
% 37.30/23.74 tff(1772,plain,
% 37.30/23.74 (v84(constB10, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1771, 1678])).
% 37.30/23.74 tff(1773,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1774,plain,
% 37.30/23.74 (((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1)) <=> ((~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1775,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1)))),
% 37.30/23.74 inference(monotonicity,[status(thm)],[1774])).
% 37.30/23.74 tff(1776,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1))),
% 37.30/23.74 inference(transitivity,[status(thm)],[1775, 1773])).
% 37.30/23.74 tff(1777,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1778,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex1)),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 37.30/23.74 tff(1779,plain,
% 37.30/23.74 ((~v84(constB10, bitIndex1)) | v94(constB11) | v84(constB11, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1778, 923, 1719])).
% 37.30/23.74 tff(1780,plain,
% 37.30/23.74 ((~v84(constB10, bitIndex1)) | v84(constB11, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1779, 1731])).
% 37.30/23.74 tff(1781,plain,
% 37.30/23.74 (v84(constB11, bitIndex1)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1780, 1772])).
% 37.30/23.74 tff(1782,plain,
% 37.30/23.74 (^[VarCurr: $i] : refl(((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 37.30/23.74 inference(bind,[status(th)],[])).
% 37.30/23.74 tff(1783,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.30/23.74 inference(quant_intro,[status(thm)],[1782])).
% 37.30/23.74 tff(1784,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1785,plain,
% 37.30/23.74 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex0) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 37.30/23.74 inference(bind,[status(th)],[])).
% 37.30/23.74 tff(1786,plain,
% 37.30/23.74 (![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.30/23.74 inference(quant_intro,[status(thm)],[1785])).
% 37.30/23.74 tff(1787,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1')).
% 37.30/23.74 tff(1788,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 37.30/23.74 tff(1789,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1788, 1784])).
% 37.30/23.74 tff(1790,plain,(
% 37.30/23.74 ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.30/23.74 inference(skolemize,[status(sab)],[1789])).
% 37.30/23.74 tff(1791,plain,
% 37.30/23.74 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1790, 1783])).
% 37.30/23.74 tff(1792,plain,
% 37.30/23.74 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB9)) | v124(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB9)) | v124(constB9, bitIndex0))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1793,plain,
% 37.30/23.74 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB9)) | v124(constB9, bitIndex0))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1794,plain,
% 37.30/23.74 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB9)) | v124(constB9, bitIndex0)),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 37.30/23.74 tff(1795,plain,
% 37.30/23.74 (v124(constB9, bitIndex0)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1794, 1791, 1602])).
% 37.30/23.74 tff(1796,plain,
% 37.30/23.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1797,plain,
% 37.30/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))),
% 37.30/23.74 inference(quant_inst,[status(thm)],[])).
% 37.30/23.74 tff(1798,plain,
% 37.30/23.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0)),
% 37.30/23.74 inference(modus_ponens,[status(thm)],[1797, 1796])).
% 37.30/23.74 tff(1799,plain,
% 37.30/23.74 (v26(constB9) | v121(constB9, bitIndex0)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1798, 1289, 1795])).
% 37.30/23.74 tff(1800,plain,
% 37.30/23.74 (v121(constB9, bitIndex0)),
% 37.30/23.74 inference(unit_resolution,[status(thm)],[1799, 151])).
% 37.30/23.74 tff(1801,plain,
% 37.30/23.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))),
% 37.30/23.74 inference(rewrite,[status(thm)],[])).
% 37.30/23.74 tff(1802,plain,
% 37.30/23.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))),
% 37.30/23.75 inference(quant_inst,[status(thm)],[])).
% 37.30/23.75 tff(1803,plain,
% 37.30/23.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0)),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 37.30/23.75 tff(1804,plain,
% 37.30/23.75 ((~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0)),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1803, 1304, 1644])).
% 37.30/23.75 tff(1805,plain,
% 37.30/23.75 (v123(constB10, bitIndex0)),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1804, 1800])).
% 37.30/23.75 tff(1806,plain,
% 37.30/23.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 37.30/23.75 inference(rewrite,[status(thm)],[])).
% 37.30/23.75 tff(1807,plain,
% 37.30/23.75 ((v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0))) <=> (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 37.30/23.75 inference(rewrite,[status(thm)],[])).
% 37.30/23.75 tff(1808,plain,
% 37.30/23.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10))))),
% 37.30/23.75 inference(monotonicity,[status(thm)],[1807])).
% 37.30/23.75 tff(1809,plain,
% 37.30/23.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 37.30/23.75 inference(transitivity,[status(thm)],[1808, 1806])).
% 37.30/23.75 tff(1810,plain,
% 37.30/23.75 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))),
% 37.30/23.75 inference(quant_inst,[status(thm)],[])).
% 37.30/23.75 tff(1811,plain,
% 37.30/23.75 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10))),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 37.30/23.75 tff(1812,plain,
% 37.30/23.75 (v84(constB10, bitIndex0) | (~v94(constB10))),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1811, 1319, 1805])).
% 37.30/23.75 tff(1813,plain,
% 37.30/23.75 (v84(constB10, bitIndex0)),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1812, 1678])).
% 37.30/23.75 tff(1814,plain,
% 37.30/23.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 37.30/23.75 inference(rewrite,[status(thm)],[])).
% 37.30/23.75 tff(1815,plain,
% 37.30/23.75 (((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0)) <=> ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 37.30/23.75 inference(rewrite,[status(thm)],[])).
% 37.30/23.75 tff(1816,plain,
% 37.30/23.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0)))),
% 37.30/23.75 inference(monotonicity,[status(thm)],[1815])).
% 37.30/23.75 tff(1817,plain,
% 37.30/23.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 37.30/23.75 inference(transitivity,[status(thm)],[1816, 1814])).
% 37.30/23.75 tff(1818,plain,
% 37.30/23.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))),
% 37.30/23.75 inference(quant_inst,[status(thm)],[])).
% 37.30/23.75 tff(1819,plain,
% 37.30/23.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0)),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 37.30/23.75 tff(1820,plain,
% 37.30/23.75 ((~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0)),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1819, 1337, 1719])).
% 37.30/23.75 tff(1821,plain,
% 37.30/23.75 ((~v84(constB10, bitIndex0)) | v84(constB11, bitIndex0)),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1820, 1731])).
% 37.30/23.75 tff(1822,plain,
% 37.30/23.75 (v84(constB11, bitIndex0)),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1821, 1813])).
% 37.30/23.75 tff(1823,plain,
% 37.30/23.75 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)))),
% 37.30/23.75 inference(bind,[status(th)],[])).
% 37.30/23.75 tff(1824,plain,
% 37.30/23.75 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 37.30/23.75 inference(quant_intro,[status(thm)],[1823])).
% 37.30/23.75 tff(1825,plain,
% 37.30/23.75 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 37.30/23.75 inference(rewrite,[status(thm)],[])).
% 37.30/23.75 tff(1826,plain,
% 37.30/23.75 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr))), ((((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> (((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr)) | v84(VarCurr, bitIndex2)))), rewrite((((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))), ((((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))))),
% 37.30/23.75 inference(bind,[status(th)],[])).
% 37.30/23.75 tff(1827,plain,
% 37.30/23.75 (![VarCurr: $i] : (((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 37.30/23.75 inference(quant_intro,[status(thm)],[1826])).
% 37.30/23.75 tff(1828,axiom,(![VarCurr: $i] : (((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 37.30/23.75 tff(1829,plain,
% 37.30/23.75 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 37.30/23.75 tff(1830,plain,
% 37.30/23.75 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1829, 1825])).
% 37.30/23.75 tff(1831,plain,(
% 37.30/23.75 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 37.30/23.75 inference(skolemize,[status(sab)],[1830])).
% 37.30/23.75 tff(1832,plain,
% 37.30/23.75 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1831, 1824])).
% 37.30/23.75 tff(1833,plain,
% 37.30/23.75 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex1)) | v84(constB11, bitIndex2) | v116(constB11))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex1)) | v84(constB11, bitIndex2) | v116(constB11))),
% 37.30/23.75 inference(rewrite,[status(thm)],[])).
% 37.30/23.75 tff(1834,plain,
% 37.30/23.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex1)) | v84(constB11, bitIndex2) | v116(constB11))),
% 37.30/23.75 inference(quant_inst,[status(thm)],[])).
% 37.30/23.75 tff(1835,plain,
% 37.30/23.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex1)) | v84(constB11, bitIndex2) | v116(constB11)),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 37.30/23.75 tff(1836,plain,
% 37.30/23.75 (v116(constB11)),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1835, 1832, 1822, 1781, 1740])).
% 37.30/23.75 tff(1837,plain,
% 37.30/23.75 (^[VarCurr: $i] : refl((v110(VarCurr) | (~v116(VarCurr))) <=> (v110(VarCurr) | (~v116(VarCurr))))),
% 37.30/23.75 inference(bind,[status(th)],[])).
% 37.30/23.75 tff(1838,plain,
% 37.30/23.75 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 37.30/23.75 inference(quant_intro,[status(thm)],[1837])).
% 37.30/23.75 tff(1839,plain,
% 37.30/23.75 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 37.30/23.75 inference(rewrite,[status(thm)],[])).
% 37.30/23.75 tff(1840,axiom,(![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 37.30/23.75 tff(1841,plain,
% 37.30/23.75 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 37.30/23.75 tff(1842,plain,(
% 37.30/23.75 ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 37.30/23.75 inference(skolemize,[status(sab)],[1841])).
% 37.30/23.75 tff(1843,plain,
% 37.30/23.75 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1842, 1838])).
% 37.30/23.75 tff(1844,plain,
% 37.30/23.75 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB11) | (~v116(constB11)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB11) | (~v116(constB11)))),
% 37.30/23.75 inference(rewrite,[status(thm)],[])).
% 37.30/23.75 tff(1845,plain,
% 37.30/23.75 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB11) | (~v116(constB11)))),
% 37.30/23.75 inference(quant_inst,[status(thm)],[])).
% 37.30/23.75 tff(1846,plain,
% 37.30/23.75 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB11) | (~v116(constB11))),
% 37.30/23.75 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 37.30/23.75 tff(1847,plain,
% 37.30/23.75 (v110(constB11)),
% 37.30/23.75 inference(unit_resolution,[status(thm)],[1846, 1843, 1836])).
% 37.30/23.75 tff(1848,plain,
% 37.30/23.75 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB11) | (~v110(constB11)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB11) | (~v110(constB11)))),
% 37.37/23.75 inference(rewrite,[status(thm)],[])).
% 37.37/23.75 tff(1849,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB11) | (~v110(constB11)))),
% 37.37/23.75 inference(quant_inst,[status(thm)],[])).
% 37.37/23.75 tff(1850,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB11) | (~v110(constB11))),
% 37.37/23.75 inference(modus_ponens,[status(thm)],[1849, 1848])).
% 37.37/23.75 tff(1851,plain,
% 37.37/23.75 (v109(constB11)),
% 37.37/23.75 inference(unit_resolution,[status(thm)],[1850, 314, 1847])).
% 37.37/23.75 tff(1852,plain,
% 37.37/23.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB11) | (~v109(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB11) | (~v109(constB11)))),
% 37.37/23.75 inference(rewrite,[status(thm)],[])).
% 37.37/23.75 tff(1853,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB11) | (~v109(constB11)))),
% 37.37/23.75 inference(quant_inst,[status(thm)],[])).
% 37.37/23.75 tff(1854,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB11) | (~v109(constB11))),
% 37.37/23.75 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 37.37/23.75 tff(1855,plain,
% 37.37/23.75 (v108(constB11)),
% 37.37/23.75 inference(unit_resolution,[status(thm)],[1854, 325, 1851])).
% 37.37/23.75 tff(1856,plain,
% 37.37/23.75 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB11) | (~v108(constB11)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB11) | (~v108(constB11)))),
% 37.37/23.75 inference(rewrite,[status(thm)],[])).
% 37.37/23.75 tff(1857,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB11) | (~v108(constB11)))),
% 37.37/23.75 inference(quant_inst,[status(thm)],[])).
% 37.37/23.75 tff(1858,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB11) | (~v108(constB11))),
% 37.37/23.75 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 37.37/23.75 tff(1859,plain,
% 37.37/23.75 (v107(constB11)),
% 37.37/23.75 inference(unit_resolution,[status(thm)],[1858, 336, 1855])).
% 37.37/23.75 tff(1860,plain,
% 37.37/23.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | v106(constB11) | (~v107(constB11)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 37.37/23.75 inference(rewrite,[status(thm)],[])).
% 37.37/23.75 tff(1861,plain,
% 37.37/23.75 ((v26(constB11) | (~v107(constB11)) | v106(constB11)) <=> (v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 37.37/23.75 inference(rewrite,[status(thm)],[])).
% 37.37/23.75 tff(1862,plain,
% 37.37/23.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | v106(constB11) | (~v107(constB11))))),
% 37.37/23.75 inference(monotonicity,[status(thm)],[1861])).
% 37.37/23.75 tff(1863,plain,
% 37.37/23.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 37.37/23.75 inference(transitivity,[status(thm)],[1862, 1860])).
% 37.37/23.75 tff(1864,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))),
% 37.37/23.75 inference(quant_inst,[status(thm)],[])).
% 37.37/23.75 tff(1865,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11))),
% 37.37/23.75 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 37.37/23.75 tff(1866,plain,
% 37.37/23.75 (v26(constB11) | v106(constB11)),
% 37.37/23.75 inference(unit_resolution,[status(thm)],[1865, 350, 1859])).
% 37.37/23.75 tff(1867,plain,
% 37.37/23.75 (v106(constB11)),
% 37.37/23.75 inference(unit_resolution,[status(thm)],[1866, 147])).
% 37.37/23.75 tff(1868,plain,
% 37.37/23.75 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB11) | (~v106(constB11)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB11) | (~v106(constB11)))),
% 37.37/23.75 inference(rewrite,[status(thm)],[])).
% 37.37/23.75 tff(1869,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB11) | (~v106(constB11)))),
% 37.37/23.75 inference(quant_inst,[status(thm)],[])).
% 37.37/23.75 tff(1870,plain,
% 37.37/23.75 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB11) | (~v106(constB11))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 37.37/23.76 tff(1871,plain,
% 37.37/23.76 (v102(constB11)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1870, 362, 1867])).
% 37.37/23.76 tff(1872,plain,
% 37.37/23.76 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1873,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 37.37/23.76 tff(1874,plain,
% 37.37/23.76 (nextState(constB11, constB12)),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 37.37/23.76 tff(1875,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1876,plain,
% 37.37/23.76 (((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12)) <=> ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1877,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11))))),
% 37.37/23.76 inference(monotonicity,[status(thm)],[1876])).
% 37.37/23.76 tff(1878,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 37.37/23.76 inference(transitivity,[status(thm)],[1877, 1875])).
% 37.37/23.76 tff(1879,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1880,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 37.37/23.76 tff(1881,plain,
% 37.37/23.76 (v104(constB12) | (~v102(constB11))),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1880, 379, 1874])).
% 37.37/23.76 tff(1882,plain,
% 37.37/23.76 (v104(constB12)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1881, 1871])).
% 37.37/23.76 tff(1883,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1884,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1885,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 37.37/23.76 tff(1886,plain,
% 37.37/23.76 (~v98(constB12)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1885, 397, 1874, 1716])).
% 37.37/23.76 tff(1887,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1888,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1889,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB11, constB12)) | v96(constB12) | v98(constB12)),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1888, 1887])).
% 37.37/23.76 tff(1890,plain,
% 37.37/23.76 (v96(constB12) | v98(constB12)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1889, 411, 1874])).
% 37.37/23.76 tff(1891,plain,
% 37.37/23.76 (v96(constB12)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1890, 1886])).
% 37.37/23.76 tff(1892,plain,
% 37.37/23.76 (v1(constB12) <=> v1(constB12)),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1893,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 37.37/23.76 tff(1894,plain,
% 37.37/23.76 (v1(constB12)),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 37.37/23.76 tff(1895,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1896,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1897,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 37.37/23.76 tff(1898,plain,
% 37.37/23.76 (v95(constB12) | (~v96(constB12))),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1897, 429, 1874, 1894])).
% 37.37/23.76 tff(1899,plain,
% 37.37/23.76 (v95(constB12)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1898, 1891])).
% 37.37/23.76 tff(1900,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1901,plain,
% 37.37/23.76 (((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12)) <=> ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1902,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12))))),
% 37.37/23.76 inference(monotonicity,[status(thm)],[1901])).
% 37.37/23.76 tff(1903,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 37.37/23.76 inference(transitivity,[status(thm)],[1902, 1900])).
% 37.37/23.76 tff(1904,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1905,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1904, 1903])).
% 37.37/23.76 tff(1906,plain,
% 37.37/23.76 (v94(constB12) | (~v95(constB12)) | (~v104(constB12))),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1905, 444, 1874])).
% 37.37/23.76 tff(1907,plain,
% 37.37/23.76 (v94(constB12) | (~v104(constB12))),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1906, 1899])).
% 37.37/23.76 tff(1908,plain,
% 37.37/23.76 (v94(constB12)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1907, 1882])).
% 37.37/23.76 tff(1909,plain,
% 37.37/23.76 (^[VarCurr: $i] : refl(((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 37.37/23.76 inference(bind,[status(th)],[])).
% 37.37/23.76 tff(1910,plain,
% 37.37/23.76 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.37/23.76 inference(quant_intro,[status(thm)],[1909])).
% 37.37/23.76 tff(1911,plain,
% 37.37/23.76 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1912,plain,
% 37.37/23.76 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex2) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 37.37/23.76 inference(bind,[status(th)],[])).
% 37.37/23.76 tff(1913,plain,
% 37.37/23.76 (![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.37/23.76 inference(quant_intro,[status(thm)],[1912])).
% 37.37/23.76 tff(1914,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 37.37/23.76 tff(1915,plain,
% 37.37/23.76 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1914, 1913])).
% 37.37/23.76 tff(1916,plain,
% 37.37/23.76 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1915, 1911])).
% 37.37/23.76 tff(1917,plain,(
% 37.37/23.76 ![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.37/23.76 inference(skolemize,[status(sab)],[1916])).
% 37.37/23.76 tff(1918,plain,
% 37.37/23.76 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1917, 1910])).
% 37.37/23.76 tff(1919,plain,
% 37.37/23.76 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB11)) | v124(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB11)) | v124(constB11, bitIndex2))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1920,plain,
% 37.37/23.76 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB11)) | v124(constB11, bitIndex2))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1921,plain,
% 37.37/23.76 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB11)) | v124(constB11, bitIndex2)),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 37.37/23.76 tff(1922,plain,
% 37.37/23.76 (v124(constB11, bitIndex2)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1921, 1918, 1836])).
% 37.37/23.76 tff(1923,plain,
% 37.37/23.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1924,plain,
% 37.37/23.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1925,plain,
% 37.37/23.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2)),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1924, 1923])).
% 37.37/23.76 tff(1926,plain,
% 37.37/23.76 (v26(constB11) | v121(constB11, bitIndex2)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1925, 477, 1922])).
% 37.37/23.76 tff(1927,plain,
% 37.37/23.76 (v121(constB11, bitIndex2)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1926, 147])).
% 37.37/23.76 tff(1928,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1929,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1930,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2)),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 37.37/23.76 tff(1931,plain,
% 37.37/23.76 ((~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1930, 492, 1874])).
% 37.37/23.76 tff(1932,plain,
% 37.37/23.76 (v123(constB12, bitIndex2)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1931, 1927])).
% 37.37/23.76 tff(1933,plain,
% 37.37/23.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1934,plain,
% 37.37/23.76 ((v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2))) <=> (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1935,plain,
% 37.37/23.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12))))),
% 37.37/23.76 inference(monotonicity,[status(thm)],[1934])).
% 37.37/23.76 tff(1936,plain,
% 37.37/23.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 37.37/23.76 inference(transitivity,[status(thm)],[1935, 1933])).
% 37.37/23.76 tff(1937,plain,
% 37.37/23.76 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1938,plain,
% 37.37/23.76 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 37.37/23.76 tff(1939,plain,
% 37.37/23.76 (v84(constB12, bitIndex2) | (~v94(constB12))),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1938, 507, 1932])).
% 37.37/23.76 tff(1940,plain,
% 37.37/23.76 (v84(constB12, bitIndex2)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1939, 1908])).
% 37.37/23.76 tff(1941,plain,
% 37.37/23.76 ((~v1(constB13)) <=> (~v1(constB13))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1942,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 37.37/23.76 tff(1943,plain,
% 37.37/23.76 (~v1(constB13)),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 37.37/23.76 tff(1944,plain,
% 37.37/23.76 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1945,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 37.37/23.76 tff(1946,plain,
% 37.37/23.76 (nextState(constB12, constB13)),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 37.37/23.76 tff(1947,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1948,plain,
% 37.37/23.76 (((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1949,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13))))),
% 37.37/23.76 inference(monotonicity,[status(thm)],[1948])).
% 37.37/23.76 tff(1950,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 37.37/23.76 inference(transitivity,[status(thm)],[1949, 1947])).
% 37.37/23.76 tff(1951,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1952,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1951, 1950])).
% 37.37/23.76 tff(1953,plain,
% 37.37/23.76 (~v95(constB13)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1952, 175, 1946, 1943])).
% 37.37/23.76 tff(1954,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))),
% 37.37/23.76 inference(rewrite,[status(thm)],[])).
% 37.37/23.76 tff(1955,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))),
% 37.37/23.76 inference(quant_inst,[status(thm)],[])).
% 37.37/23.76 tff(1956,plain,
% 37.37/23.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13))),
% 37.37/23.76 inference(modus_ponens,[status(thm)],[1955, 1954])).
% 37.37/23.76 tff(1957,plain,
% 37.37/23.76 (v95(constB13) | (~v94(constB13))),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1956, 192, 1946])).
% 37.37/23.76 tff(1958,plain,
% 37.37/23.76 (~v94(constB13)),
% 37.37/23.76 inference(unit_resolution,[status(thm)],[1957, 1953])).
% 37.37/23.76 tff(1959,plain,
% 37.37/23.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 37.37/23.77 inference(rewrite,[status(thm)],[])).
% 37.37/23.77 tff(1960,plain,
% 37.37/23.77 (((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2)) <=> ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 37.37/23.77 inference(rewrite,[status(thm)],[])).
% 37.37/23.77 tff(1961,plain,
% 37.37/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2)))),
% 37.37/23.77 inference(monotonicity,[status(thm)],[1960])).
% 37.37/23.77 tff(1962,plain,
% 37.37/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 37.37/23.77 inference(transitivity,[status(thm)],[1961, 1959])).
% 37.37/23.77 tff(1963,plain,
% 37.37/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))),
% 37.37/23.77 inference(quant_inst,[status(thm)],[])).
% 37.37/23.77 tff(1964,plain,
% 37.37/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2)),
% 37.37/23.77 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 37.37/23.77 tff(1965,plain,
% 37.37/23.77 ((~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2)),
% 37.37/23.77 inference(unit_resolution,[status(thm)],[1964, 543, 1946])).
% 37.37/23.77 tff(1966,plain,
% 37.37/23.77 ((~v84(constB12, bitIndex2)) | v84(constB13, bitIndex2)),
% 37.37/23.77 inference(unit_resolution,[status(thm)],[1965, 1958])).
% 37.37/23.77 tff(1967,plain,
% 37.37/23.77 (v84(constB13, bitIndex2)),
% 37.37/23.77 inference(unit_resolution,[status(thm)],[1966, 1940])).
% 37.37/23.77 tff(1968,plain,
% 37.37/23.77 (^[VarCurr: $i] : refl(((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 37.37/23.77 inference(bind,[status(th)],[])).
% 37.37/23.77 tff(1969,plain,
% 37.37/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.37/23.77 inference(quant_intro,[status(thm)],[1968])).
% 37.37/23.77 tff(1970,plain,
% 37.37/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.37/23.77 inference(rewrite,[status(thm)],[])).
% 37.37/23.77 tff(1971,plain,
% 37.37/23.77 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex1)) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 37.37/23.77 inference(bind,[status(th)],[])).
% 37.37/23.77 tff(1972,plain,
% 37.37/23.77 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.37/23.77 inference(quant_intro,[status(thm)],[1971])).
% 37.37/23.77 tff(1973,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 37.37/23.77 tff(1974,plain,
% 37.37/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.37/23.77 inference(modus_ponens,[status(thm)],[1973, 1972])).
% 37.39/23.77 tff(1975,plain,
% 37.39/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[1974, 1970])).
% 37.39/23.77 tff(1976,plain,(
% 37.39/23.77 ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.39/23.77 inference(skolemize,[status(sab)],[1975])).
% 37.39/23.77 tff(1977,plain,
% 37.39/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[1976, 1969])).
% 37.39/23.77 tff(1978,plain,
% 37.39/23.77 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB11)) | (~v124(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB11)) | (~v124(constB11, bitIndex1)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(1979,plain,
% 37.39/23.77 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB11)) | (~v124(constB11, bitIndex1)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(1980,plain,
% 37.39/23.77 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB11)) | (~v124(constB11, bitIndex1))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 37.39/23.77 tff(1981,plain,
% 37.39/23.77 (~v124(constB11, bitIndex1)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[1980, 1977, 1836])).
% 37.39/23.77 tff(1982,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(1983,plain,
% 37.39/23.77 ((v26(constB11) | v124(constB11, bitIndex1) | (~v121(constB11, bitIndex1))) <=> ((~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(1984,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB11) | v124(constB11, bitIndex1) | (~v121(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1)))),
% 37.39/23.77 inference(monotonicity,[status(thm)],[1983])).
% 37.39/23.77 tff(1985,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB11) | v124(constB11, bitIndex1) | (~v121(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1))),
% 37.39/23.77 inference(transitivity,[status(thm)],[1984, 1982])).
% 37.39/23.77 tff(1986,plain,
% 37.39/23.77 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB11) | v124(constB11, bitIndex1) | (~v121(constB11, bitIndex1)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(1987,plain,
% 37.39/23.77 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB11, bitIndex1)) | v26(constB11) | v124(constB11, bitIndex1)),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[1986, 1985])).
% 37.39/23.77 tff(1988,plain,
% 37.39/23.77 ((~v121(constB11, bitIndex1)) | v26(constB11)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[1987, 576, 1981])).
% 37.39/23.77 tff(1989,plain,
% 37.39/23.77 (~v121(constB11, bitIndex1)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[1988, 147])).
% 37.39/23.77 tff(1990,plain,
% 37.39/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(1991,plain,
% 37.39/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(1992,plain,
% 37.39/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[1991, 1990])).
% 37.39/23.77 tff(1993,plain,
% 37.39/23.77 (v121(constB11, bitIndex1) | (~v123(constB12, bitIndex1))),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[1992, 594, 1874])).
% 37.39/23.77 tff(1994,plain,
% 37.39/23.77 (~v123(constB12, bitIndex1)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[1993, 1989])).
% 37.39/23.77 tff(1995,plain,
% 37.39/23.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(1996,plain,
% 37.39/23.77 (((~v84(constB12, bitIndex1)) | (~v94(constB12)) | v123(constB12, bitIndex1)) <=> ((~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(1997,plain,
% 37.39/23.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~v94(constB12)) | v123(constB12, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12))))),
% 37.39/23.77 inference(monotonicity,[status(thm)],[1996])).
% 37.39/23.77 tff(1998,plain,
% 37.39/23.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~v94(constB12)) | v123(constB12, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12)))),
% 37.39/23.77 inference(transitivity,[status(thm)],[1997, 1995])).
% 37.39/23.77 tff(1999,plain,
% 37.39/23.77 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~v94(constB12)) | v123(constB12, bitIndex1))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2000,plain,
% 37.39/23.77 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | v123(constB12, bitIndex1) | (~v94(constB12))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 37.39/23.77 tff(2001,plain,
% 37.39/23.77 ((~v84(constB12, bitIndex1)) | (~v94(constB12))),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2000, 609, 1994])).
% 37.39/23.77 tff(2002,plain,
% 37.39/23.77 (~v84(constB12, bitIndex1)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2001, 1908])).
% 37.39/23.77 tff(2003,plain,
% 37.39/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2004,plain,
% 37.39/23.77 (((~nextState(constB12, constB13)) | v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1))) <=> (v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2005,plain,
% 37.39/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1))))),
% 37.39/23.77 inference(monotonicity,[status(thm)],[2004])).
% 37.39/23.77 tff(2006,plain,
% 37.39/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1)))),
% 37.39/23.77 inference(transitivity,[status(thm)],[2005, 2003])).
% 37.39/23.77 tff(2007,plain,
% 37.39/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2008,plain,
% 37.39/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex1))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 37.39/23.77 tff(2009,plain,
% 37.39/23.77 (v84(constB12, bitIndex1) | v94(constB13) | (~v84(constB13, bitIndex1))),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2008, 228, 1946])).
% 37.39/23.77 tff(2010,plain,
% 37.39/23.77 (v84(constB12, bitIndex1) | (~v84(constB13, bitIndex1))),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2009, 1958])).
% 37.39/23.77 tff(2011,plain,
% 37.39/23.77 (~v84(constB13, bitIndex1)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2010, 2002])).
% 37.39/23.77 tff(2012,plain,
% 37.39/23.77 (^[VarCurr: $i] : refl(((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 37.39/23.77 inference(bind,[status(th)],[])).
% 37.39/23.77 tff(2013,plain,
% 37.39/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.39/23.77 inference(quant_intro,[status(thm)],[2012])).
% 37.39/23.77 tff(2014,plain,
% 37.39/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2015,plain,
% 37.39/23.77 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex0)) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 37.39/23.77 inference(bind,[status(th)],[])).
% 37.39/23.77 tff(2016,plain,
% 37.39/23.77 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.39/23.77 inference(quant_intro,[status(thm)],[2015])).
% 37.39/23.77 tff(2017,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 37.39/23.77 tff(2018,plain,
% 37.39/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 37.39/23.77 tff(2019,plain,
% 37.39/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2018, 2014])).
% 37.39/23.77 tff(2020,plain,(
% 37.39/23.77 ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.39/23.77 inference(skolemize,[status(sab)],[2019])).
% 37.39/23.77 tff(2021,plain,
% 37.39/23.77 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2020, 2013])).
% 37.39/23.77 tff(2022,plain,
% 37.39/23.77 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB11)) | (~v124(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB11)) | (~v124(constB11, bitIndex0)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2023,plain,
% 37.39/23.77 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB11)) | (~v124(constB11, bitIndex0)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2024,plain,
% 37.39/23.77 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB11)) | (~v124(constB11, bitIndex0))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 37.39/23.77 tff(2025,plain,
% 37.39/23.77 (~v124(constB11, bitIndex0)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2024, 2021, 1836])).
% 37.39/23.77 tff(2026,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2027,plain,
% 37.39/23.77 ((v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0))) <=> ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2028,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0)))),
% 37.39/23.77 inference(monotonicity,[status(thm)],[2027])).
% 37.39/23.77 tff(2029,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 37.39/23.77 inference(transitivity,[status(thm)],[2028, 2026])).
% 37.39/23.77 tff(2030,plain,
% 37.39/23.77 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2031,plain,
% 37.39/23.77 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0)),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 37.39/23.77 tff(2032,plain,
% 37.39/23.77 ((~v121(constB11, bitIndex0)) | v26(constB11)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2031, 650, 2025])).
% 37.39/23.77 tff(2033,plain,
% 37.39/23.77 (~v121(constB11, bitIndex0)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2032, 147])).
% 37.39/23.77 tff(2034,plain,
% 37.39/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2035,plain,
% 37.39/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2036,plain,
% 37.39/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2035, 2034])).
% 37.39/23.77 tff(2037,plain,
% 37.39/23.77 (v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0))),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2036, 668, 1874])).
% 37.39/23.77 tff(2038,plain,
% 37.39/23.77 (~v123(constB12, bitIndex0)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2037, 2033])).
% 37.39/23.77 tff(2039,plain,
% 37.39/23.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2040,plain,
% 37.39/23.77 (((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0)) <=> ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2041,plain,
% 37.39/23.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12))))),
% 37.39/23.77 inference(monotonicity,[status(thm)],[2040])).
% 37.39/23.77 tff(2042,plain,
% 37.39/23.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 37.39/23.77 inference(transitivity,[status(thm)],[2041, 2039])).
% 37.39/23.77 tff(2043,plain,
% 37.39/23.77 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2044,plain,
% 37.39/23.77 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2043, 2042])).
% 37.39/23.77 tff(2045,plain,
% 37.39/23.77 ((~v84(constB12, bitIndex0)) | (~v94(constB12))),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2044, 683, 2038])).
% 37.39/23.77 tff(2046,plain,
% 37.39/23.77 (~v84(constB12, bitIndex0)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2045, 1908])).
% 37.39/23.77 tff(2047,plain,
% 37.39/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2048,plain,
% 37.39/23.77 (((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0))) <=> (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2049,plain,
% 37.39/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0))))),
% 37.39/23.77 inference(monotonicity,[status(thm)],[2048])).
% 37.39/23.77 tff(2050,plain,
% 37.39/23.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 37.39/23.77 inference(transitivity,[status(thm)],[2049, 2047])).
% 37.39/23.77 tff(2051,plain,
% 37.39/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2052,plain,
% 37.39/23.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2051, 2050])).
% 37.39/23.77 tff(2053,plain,
% 37.39/23.77 (v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0))),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2052, 249, 1946])).
% 37.39/23.77 tff(2054,plain,
% 37.39/23.77 (v84(constB12, bitIndex0) | (~v84(constB13, bitIndex0))),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2053, 1958])).
% 37.39/23.77 tff(2055,plain,
% 37.39/23.77 (~v84(constB13, bitIndex0)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2054, 2046])).
% 37.39/23.77 tff(2056,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)) | v172(constB13))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)) | v172(constB13))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2057,plain,
% 37.39/23.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)) | v172(constB13))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2058,plain,
% 37.39/23.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)) | v172(constB13)),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2057, 2056])).
% 37.39/23.77 tff(2059,plain,
% 37.39/23.77 (v172(constB13)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2058, 710, 2055, 2011, 1967])).
% 37.39/23.77 tff(2060,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB13) | (~v172(constB13)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB13) | (~v172(constB13)))),
% 37.39/23.77 inference(rewrite,[status(thm)],[])).
% 37.39/23.77 tff(2061,plain,
% 37.39/23.77 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB13) | (~v172(constB13)))),
% 37.39/23.77 inference(quant_inst,[status(thm)],[])).
% 37.39/23.77 tff(2062,plain,
% 37.39/23.77 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB13) | (~v172(constB13))),
% 37.39/23.77 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 37.39/23.77 tff(2063,plain,
% 37.39/23.77 (v109(constB13)),
% 37.39/23.77 inference(unit_resolution,[status(thm)],[2062, 764, 2059])).
% 37.39/23.77 tff(2064,plain,
% 37.39/23.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB13) | (~v109(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB13) | (~v109(constB13)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2065,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB13) | (~v109(constB13)))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2066,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB13) | (~v109(constB13))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 37.39/23.78 tff(2067,plain,
% 37.39/23.78 (v108(constB13)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2066, 325, 2063])).
% 37.39/23.78 tff(2068,plain,
% 37.39/23.78 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB13) | (~v108(constB13)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB13) | (~v108(constB13)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2069,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB13) | (~v108(constB13)))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2070,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB13) | (~v108(constB13))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 37.39/23.78 tff(2071,plain,
% 37.39/23.78 (v107(constB13)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2070, 336, 2067])).
% 37.39/23.78 tff(2072,plain,
% 37.39/23.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | v106(constB13) | (~v107(constB13)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | v106(constB13) | (~v107(constB13)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2073,plain,
% 37.39/23.78 ((v26(constB13) | (~v107(constB13)) | v106(constB13)) <=> (v26(constB13) | v106(constB13) | (~v107(constB13)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2074,plain,
% 37.39/23.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | v106(constB13) | (~v107(constB13))))),
% 37.39/23.78 inference(monotonicity,[status(thm)],[2073])).
% 37.39/23.78 tff(2075,plain,
% 37.39/23.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | v106(constB13) | (~v107(constB13)))),
% 37.39/23.78 inference(transitivity,[status(thm)],[2074, 2072])).
% 37.39/23.78 tff(2076,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2077,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | v106(constB13) | (~v107(constB13))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 37.39/23.78 tff(2078,plain,
% 37.39/23.78 (v26(constB13) | v106(constB13)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2077, 350, 2071])).
% 37.39/23.78 tff(2079,plain,
% 37.39/23.78 (v106(constB13)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2078, 143])).
% 37.39/23.78 tff(2080,plain,
% 37.39/23.78 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB13) | (~v106(constB13)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB13) | (~v106(constB13)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2081,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB13) | (~v106(constB13)))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2082,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB13) | (~v106(constB13))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2081, 2080])).
% 37.39/23.78 tff(2083,plain,
% 37.39/23.78 (v102(constB13)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2082, 362, 2079])).
% 37.39/23.78 tff(2084,plain,
% 37.39/23.78 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2085,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 37.39/23.78 tff(2086,plain,
% 37.39/23.78 (nextState(constB13, constB14)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 37.39/23.78 tff(2087,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2088,plain,
% 37.39/23.78 (((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14)) <=> ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2089,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13))))),
% 37.39/23.78 inference(monotonicity,[status(thm)],[2088])).
% 37.39/23.78 tff(2090,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 37.39/23.78 inference(transitivity,[status(thm)],[2089, 2087])).
% 37.39/23.78 tff(2091,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2092,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 37.39/23.78 tff(2093,plain,
% 37.39/23.78 (v104(constB14) | (~v102(constB13))),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2092, 379, 2086])).
% 37.39/23.78 tff(2094,plain,
% 37.39/23.78 (v104(constB14)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2093, 2083])).
% 37.39/23.78 tff(2095,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2096,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2097,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 37.39/23.78 tff(2098,plain,
% 37.39/23.78 (~v98(constB14)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2097, 397, 2086, 1943])).
% 37.39/23.78 tff(2099,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2100,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2101,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB13, constB14)) | v96(constB14) | v98(constB14)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 37.39/23.78 tff(2102,plain,
% 37.39/23.78 (v96(constB14) | v98(constB14)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2101, 411, 2086])).
% 37.39/23.78 tff(2103,plain,
% 37.39/23.78 (v96(constB14)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2102, 2098])).
% 37.39/23.78 tff(2104,plain,
% 37.39/23.78 (v1(constB14) <=> v1(constB14)),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2105,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 37.39/23.78 tff(2106,plain,
% 37.39/23.78 (v1(constB14)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2105, 2104])).
% 37.39/23.78 tff(2107,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2108,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2109,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 37.39/23.78 tff(2110,plain,
% 37.39/23.78 (v95(constB14) | (~v96(constB14))),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2109, 429, 2086, 2106])).
% 37.39/23.78 tff(2111,plain,
% 37.39/23.78 (v95(constB14)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2110, 2103])).
% 37.39/23.78 tff(2112,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2113,plain,
% 37.39/23.78 (((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14)) <=> ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2114,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14))))),
% 37.39/23.78 inference(monotonicity,[status(thm)],[2113])).
% 37.39/23.78 tff(2115,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 37.39/23.78 inference(transitivity,[status(thm)],[2114, 2112])).
% 37.39/23.78 tff(2116,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2117,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 37.39/23.78 tff(2118,plain,
% 37.39/23.78 (v94(constB14) | (~v95(constB14)) | (~v104(constB14))),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2117, 444, 2086])).
% 37.39/23.78 tff(2119,plain,
% 37.39/23.78 (v94(constB14) | (~v104(constB14))),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2118, 2111])).
% 37.39/23.78 tff(2120,plain,
% 37.39/23.78 (v94(constB14)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2119, 2094])).
% 37.39/23.78 tff(2121,plain,
% 37.39/23.78 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB13)) | v124(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB13)) | v124(constB13, bitIndex1))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2122,plain,
% 37.39/23.78 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB13)) | v124(constB13, bitIndex1))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2123,plain,
% 37.39/23.78 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB13)) | v124(constB13, bitIndex1)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2122, 2121])).
% 37.39/23.78 tff(2124,plain,
% 37.39/23.78 (v124(constB13, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2123, 861, 2059])).
% 37.39/23.78 tff(2125,plain,
% 37.39/23.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB13) | (~v124(constB13, bitIndex1)) | v121(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB13) | (~v124(constB13, bitIndex1)) | v121(constB13, bitIndex1))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2126,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB13) | (~v124(constB13, bitIndex1)) | v121(constB13, bitIndex1))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2127,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB13) | (~v124(constB13, bitIndex1)) | v121(constB13, bitIndex1)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2126, 2125])).
% 37.39/23.78 tff(2128,plain,
% 37.39/23.78 (v26(constB13) | v121(constB13, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2127, 875, 2124])).
% 37.39/23.78 tff(2129,plain,
% 37.39/23.78 (v121(constB13, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2128, 143])).
% 37.39/23.78 tff(2130,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2131,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2132,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2131, 2130])).
% 37.39/23.78 tff(2133,plain,
% 37.39/23.78 ((~v121(constB13, bitIndex1)) | v123(constB14, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2132, 890, 2086])).
% 37.39/23.78 tff(2134,plain,
% 37.39/23.78 (v123(constB14, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2133, 2129])).
% 37.39/23.78 tff(2135,plain,
% 37.39/23.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2136,plain,
% 37.39/23.78 ((v84(constB14, bitIndex1) | (~v94(constB14)) | (~v123(constB14, bitIndex1))) <=> (v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2137,plain,
% 37.39/23.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v94(constB14)) | (~v123(constB14, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14))))),
% 37.39/23.78 inference(monotonicity,[status(thm)],[2136])).
% 37.39/23.78 tff(2138,plain,
% 37.39/23.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v94(constB14)) | (~v123(constB14, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14)))),
% 37.39/23.78 inference(transitivity,[status(thm)],[2137, 2135])).
% 37.39/23.78 tff(2139,plain,
% 37.39/23.78 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~v94(constB14)) | (~v123(constB14, bitIndex1)))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2140,plain,
% 37.39/23.78 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~v123(constB14, bitIndex1)) | (~v94(constB14))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2139, 2138])).
% 37.39/23.78 tff(2141,plain,
% 37.39/23.78 (v84(constB14, bitIndex1) | (~v94(constB14))),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2140, 905, 2134])).
% 37.39/23.78 tff(2142,plain,
% 37.39/23.78 (v84(constB14, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2141, 2120])).
% 37.39/23.78 tff(2143,plain,
% 37.39/23.78 ((~v1(constB15)) <=> (~v1(constB15))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2144,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 37.39/23.78 tff(2145,plain,
% 37.39/23.78 (~v1(constB15)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2144, 2143])).
% 37.39/23.78 tff(2146,plain,
% 37.39/23.78 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2147,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 37.39/23.78 tff(2148,plain,
% 37.39/23.78 (nextState(constB14, constB15)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 37.39/23.78 tff(2149,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2150,plain,
% 37.39/23.78 (((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2151,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15))))),
% 37.39/23.78 inference(monotonicity,[status(thm)],[2150])).
% 37.39/23.78 tff(2152,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 37.39/23.78 inference(transitivity,[status(thm)],[2151, 2149])).
% 37.39/23.78 tff(2153,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2154,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2153, 2152])).
% 37.39/23.78 tff(2155,plain,
% 37.39/23.78 (~v95(constB15)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2154, 175, 2148, 2145])).
% 37.39/23.78 tff(2156,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2157,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2158,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15))),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 37.39/23.78 tff(2159,plain,
% 37.39/23.78 (v95(constB15) | (~v94(constB15))),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2158, 192, 2148])).
% 37.39/23.78 tff(2160,plain,
% 37.39/23.78 (~v94(constB15)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2159, 2155])).
% 37.39/23.78 tff(2161,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2162,plain,
% 37.39/23.78 (((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1)) <=> ((~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2163,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1)))),
% 37.39/23.78 inference(monotonicity,[status(thm)],[2162])).
% 37.39/23.78 tff(2164,plain,
% 37.39/23.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1))),
% 37.39/23.78 inference(transitivity,[status(thm)],[2163, 2161])).
% 37.39/23.78 tff(2165,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2166,plain,
% 37.39/23.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex1)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2165, 2164])).
% 37.39/23.78 tff(2167,plain,
% 37.39/23.78 ((~v84(constB14, bitIndex1)) | v94(constB15) | v84(constB15, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2166, 923, 2148])).
% 37.39/23.78 tff(2168,plain,
% 37.39/23.78 ((~v84(constB14, bitIndex1)) | v84(constB15, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2167, 2160])).
% 37.39/23.78 tff(2169,plain,
% 37.39/23.78 (v84(constB15, bitIndex1)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2168, 2142])).
% 37.39/23.78 tff(2170,plain,
% 37.39/23.78 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB13)) | v124(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB13)) | v124(constB13, bitIndex2))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2171,plain,
% 37.39/23.78 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB13)) | v124(constB13, bitIndex2))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2172,plain,
% 37.39/23.78 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB13)) | v124(constB13, bitIndex2)),
% 37.39/23.78 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 37.39/23.78 tff(2173,plain,
% 37.39/23.78 (v124(constB13, bitIndex2)),
% 37.39/23.78 inference(unit_resolution,[status(thm)],[2172, 724, 2059])).
% 37.39/23.78 tff(2174,plain,
% 37.39/23.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB13) | (~v124(constB13, bitIndex2)) | v121(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB13) | (~v124(constB13, bitIndex2)) | v121(constB13, bitIndex2))),
% 37.39/23.78 inference(rewrite,[status(thm)],[])).
% 37.39/23.78 tff(2175,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB13) | (~v124(constB13, bitIndex2)) | v121(constB13, bitIndex2))),
% 37.39/23.78 inference(quant_inst,[status(thm)],[])).
% 37.39/23.78 tff(2176,plain,
% 37.39/23.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB13) | (~v124(constB13, bitIndex2)) | v121(constB13, bitIndex2)),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2175, 2174])).
% 37.39/23.79 tff(2177,plain,
% 37.39/23.79 (v26(constB13) | v121(constB13, bitIndex2)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2176, 477, 2173])).
% 37.39/23.79 tff(2178,plain,
% 37.39/23.79 (v121(constB13, bitIndex2)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2177, 143])).
% 37.39/23.79 tff(2179,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2180,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2181,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2)),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 37.39/23.79 tff(2182,plain,
% 37.39/23.79 ((~v121(constB13, bitIndex2)) | v123(constB14, bitIndex2)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2181, 492, 2086])).
% 37.39/23.79 tff(2183,plain,
% 37.39/23.79 (v123(constB14, bitIndex2)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2182, 2178])).
% 37.39/23.79 tff(2184,plain,
% 37.39/23.79 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2185,plain,
% 37.39/23.79 ((v84(constB14, bitIndex2) | (~v94(constB14)) | (~v123(constB14, bitIndex2))) <=> (v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2186,plain,
% 37.39/23.79 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v94(constB14)) | (~v123(constB14, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14))))),
% 37.39/23.79 inference(monotonicity,[status(thm)],[2185])).
% 37.39/23.79 tff(2187,plain,
% 37.39/23.79 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v94(constB14)) | (~v123(constB14, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14)))),
% 37.39/23.79 inference(transitivity,[status(thm)],[2186, 2184])).
% 37.39/23.79 tff(2188,plain,
% 37.39/23.79 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~v94(constB14)) | (~v123(constB14, bitIndex2)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2189,plain,
% 37.39/23.79 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~v123(constB14, bitIndex2)) | (~v94(constB14))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 37.39/23.79 tff(2190,plain,
% 37.39/23.79 (v84(constB14, bitIndex2) | (~v94(constB14))),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2189, 507, 2183])).
% 37.39/23.79 tff(2191,plain,
% 37.39/23.79 (v84(constB14, bitIndex2)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2190, 2120])).
% 37.39/23.79 tff(2192,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2193,plain,
% 37.39/23.79 (((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2)) <=> ((~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2194,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2)))),
% 37.39/23.79 inference(monotonicity,[status(thm)],[2193])).
% 37.39/23.79 tff(2195,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2))),
% 37.39/23.79 inference(transitivity,[status(thm)],[2194, 2192])).
% 37.39/23.79 tff(2196,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2197,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex2)),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 37.39/23.79 tff(2198,plain,
% 37.39/23.79 ((~v84(constB14, bitIndex2)) | v94(constB15) | v84(constB15, bitIndex2)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2197, 543, 2148])).
% 37.39/23.79 tff(2199,plain,
% 37.39/23.79 ((~v84(constB14, bitIndex2)) | v84(constB15, bitIndex2)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2198, 2160])).
% 37.39/23.79 tff(2200,plain,
% 37.39/23.79 (v84(constB15, bitIndex2)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2199, 2191])).
% 37.39/23.79 tff(2201,assumption,(v84(constB14, bitIndex0)), introduced(assumption)).
% 37.39/23.79 tff(2202,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v94(constB14) | (~v84(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v94(constB14) | (~v84(constB14, bitIndex0)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2203,plain,
% 37.39/23.79 (((~nextState(constB13, constB14)) | v84(constB13, bitIndex0) | v94(constB14) | (~v84(constB14, bitIndex0))) <=> (v84(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v94(constB14) | (~v84(constB14, bitIndex0)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2204,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v84(constB13, bitIndex0) | v94(constB14) | (~v84(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v94(constB14) | (~v84(constB14, bitIndex0))))),
% 37.39/23.79 inference(monotonicity,[status(thm)],[2203])).
% 37.39/23.79 tff(2205,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v84(constB13, bitIndex0) | v94(constB14) | (~v84(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v94(constB14) | (~v84(constB14, bitIndex0)))),
% 37.39/23.79 inference(transitivity,[status(thm)],[2204, 2202])).
% 37.39/23.79 tff(2206,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v84(constB13, bitIndex0) | v94(constB14) | (~v84(constB14, bitIndex0)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2207,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v94(constB14) | (~v84(constB14, bitIndex0))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 37.39/23.79 tff(2208,plain,
% 37.39/23.79 (v84(constB13, bitIndex0) | v94(constB14) | (~v84(constB14, bitIndex0))),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2207, 249, 2086])).
% 37.39/23.79 tff(2209,plain,
% 37.39/23.79 (v94(constB14) | (~v84(constB14, bitIndex0))),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2208, 2055])).
% 37.39/23.79 tff(2210,plain,
% 37.39/23.79 (v94(constB14)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2209, 2201])).
% 37.39/23.79 tff(2211,assumption,(v121(constB13, bitIndex0)), introduced(assumption)).
% 37.39/23.79 tff(2212,plain,
% 37.39/23.79 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB13)) | (~v124(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB13)) | (~v124(constB13, bitIndex0)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2213,plain,
% 37.39/23.79 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB13)) | (~v124(constB13, bitIndex0)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2214,plain,
% 37.39/23.79 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB13)) | (~v124(constB13, bitIndex0))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 37.39/23.79 tff(2215,plain,
% 37.39/23.79 (~v124(constB13, bitIndex0)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2214, 942, 2059])).
% 37.39/23.79 tff(2216,plain,
% 37.39/23.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2217,plain,
% 37.39/23.79 ((v26(constB13) | v124(constB13, bitIndex0) | (~v121(constB13, bitIndex0))) <=> ((~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2218,plain,
% 37.39/23.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB13) | v124(constB13, bitIndex0) | (~v121(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0)))),
% 37.39/23.79 inference(monotonicity,[status(thm)],[2217])).
% 37.39/23.79 tff(2219,plain,
% 37.39/23.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB13) | v124(constB13, bitIndex0) | (~v121(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0))),
% 37.39/23.79 inference(transitivity,[status(thm)],[2218, 2216])).
% 37.39/23.79 tff(2220,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB13) | v124(constB13, bitIndex0) | (~v121(constB13, bitIndex0)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2221,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB13, bitIndex0)) | v26(constB13) | v124(constB13, bitIndex0)),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 37.39/23.79 tff(2222,plain,
% 37.39/23.79 ((~v121(constB13, bitIndex0)) | v26(constB13)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2221, 650, 2215])).
% 37.39/23.79 tff(2223,plain,
% 37.39/23.79 (v26(constB13)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2222, 2211])).
% 37.39/23.79 tff(2224,plain,
% 37.39/23.79 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))))),
% 37.39/23.79 inference(bind,[status(th)],[])).
% 37.39/23.79 tff(2225,plain,
% 37.39/23.79 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 37.39/23.79 inference(quant_intro,[status(thm)],[2224])).
% 37.39/23.79 tff(2226,plain,
% 37.39/23.79 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2227,plain,
% 37.39/23.79 (^[VarCurr: $i] : rewrite(((~v121(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))))),
% 37.39/23.79 inference(bind,[status(th)],[])).
% 37.39/23.79 tff(2228,plain,
% 37.39/23.79 (![VarCurr: $i] : ((~v121(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 37.39/23.79 inference(quant_intro,[status(thm)],[2227])).
% 37.39/23.79 tff(2229,axiom,(![VarCurr: $i] : ((~v121(VarCurr, bitIndex0)) | (~v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 37.39/23.79 tff(2230,plain,
% 37.39/23.79 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 37.39/23.79 tff(2231,plain,
% 37.39/23.79 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2230, 2226])).
% 37.39/23.79 tff(2232,plain,(
% 37.39/23.79 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 37.39/23.79 inference(skolemize,[status(sab)],[2231])).
% 37.39/23.79 tff(2233,plain,
% 37.39/23.79 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2232, 2225])).
% 37.39/23.79 tff(2234,plain,
% 37.39/23.79 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v121(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v121(constB13, bitIndex0)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2235,plain,
% 37.39/23.79 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB13)) | (~v121(constB13, bitIndex0)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2236,plain,
% 37.39/23.79 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB13)) | (~v121(constB13, bitIndex0))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 37.39/23.79 tff(2237,plain,
% 37.39/23.79 ($false),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2236, 2233, 2211, 2223])).
% 37.39/23.79 tff(2238,plain,(~v121(constB13, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 37.39/23.79 tff(2239,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2240,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2241,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2240, 2239])).
% 37.39/23.79 tff(2242,plain,
% 37.39/23.79 (v121(constB13, bitIndex0) | (~v123(constB14, bitIndex0))),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2241, 668, 2086])).
% 37.39/23.79 tff(2243,plain,
% 37.39/23.79 (~v123(constB14, bitIndex0)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2242, 2238])).
% 37.39/23.79 tff(2244,plain,
% 37.39/23.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2245,plain,
% 37.39/23.79 (((~v84(constB14, bitIndex0)) | (~v94(constB14)) | v123(constB14, bitIndex0)) <=> ((~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2246,plain,
% 37.39/23.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~v94(constB14)) | v123(constB14, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14))))),
% 37.39/23.79 inference(monotonicity,[status(thm)],[2245])).
% 37.39/23.79 tff(2247,plain,
% 37.39/23.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~v94(constB14)) | v123(constB14, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14)))),
% 37.39/23.79 inference(transitivity,[status(thm)],[2246, 2244])).
% 37.39/23.79 tff(2248,plain,
% 37.39/23.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~v94(constB14)) | v123(constB14, bitIndex0))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2249,plain,
% 37.39/23.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | v123(constB14, bitIndex0) | (~v94(constB14))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2248, 2247])).
% 37.39/23.79 tff(2250,plain,
% 37.39/23.79 ((~v84(constB14, bitIndex0)) | (~v94(constB14))),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2249, 683, 2243])).
% 37.39/23.79 tff(2251,plain,
% 37.39/23.79 ($false),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2250, 2210, 2201])).
% 37.39/23.79 tff(2252,plain,(~v84(constB14, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 37.39/23.79 tff(2253,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2254,plain,
% 37.39/23.79 (((~nextState(constB14, constB15)) | v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0))) <=> (v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2255,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0))))),
% 37.39/23.79 inference(monotonicity,[status(thm)],[2254])).
% 37.39/23.79 tff(2256,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0)))),
% 37.39/23.79 inference(transitivity,[status(thm)],[2255, 2253])).
% 37.39/23.79 tff(2257,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2258,plain,
% 37.39/23.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex0))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 37.39/23.79 tff(2259,plain,
% 37.39/23.79 (v84(constB14, bitIndex0) | v94(constB15) | (~v84(constB15, bitIndex0))),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2258, 249, 2148])).
% 37.39/23.79 tff(2260,plain,
% 37.39/23.79 (v84(constB14, bitIndex0) | (~v84(constB15, bitIndex0))),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2259, 2160])).
% 37.39/23.79 tff(2261,plain,
% 37.39/23.79 (~v84(constB15, bitIndex0)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2260, 2252])).
% 37.39/23.79 tff(2262,plain,
% 37.39/23.79 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB15, bitIndex0) | (~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB15, bitIndex0) | (~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2263,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB15, bitIndex0) | (~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2264,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB15, bitIndex0) | (~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15)),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2263, 2262])).
% 37.39/23.79 tff(2265,plain,
% 37.39/23.79 ((~v84(constB15, bitIndex1)) | (~v84(constB15, bitIndex2)) | v119(constB15)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2264, 986, 2261])).
% 37.39/23.79 tff(2266,plain,
% 37.39/23.79 (v119(constB15)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2265, 2200, 2169])).
% 37.39/23.79 tff(2267,plain,
% 37.39/23.79 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB15) | (~v119(constB15)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB15) | (~v119(constB15)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2268,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB15) | (~v119(constB15)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2269,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB15) | (~v119(constB15))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 37.39/23.79 tff(2270,plain,
% 37.39/23.79 (v107(constB15)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2269, 997, 2266])).
% 37.39/23.79 tff(2271,plain,
% 37.39/23.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB15) | (~v107(constB15)) | v106(constB15))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB15) | (~v107(constB15)) | v106(constB15))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2272,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB15) | (~v107(constB15)) | v106(constB15))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2273,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB15) | (~v107(constB15)) | v106(constB15)),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2272, 2271])).
% 37.39/23.79 tff(2274,plain,
% 37.39/23.79 (v26(constB15) | v106(constB15)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2273, 350, 2270])).
% 37.39/23.79 tff(2275,plain,
% 37.39/23.79 (v106(constB15)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2274, 139])).
% 37.39/23.79 tff(2276,plain,
% 37.39/23.79 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB15) | (~v106(constB15)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB15) | (~v106(constB15)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2277,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB15) | (~v106(constB15)))),
% 37.39/23.79 inference(quant_inst,[status(thm)],[])).
% 37.39/23.79 tff(2278,plain,
% 37.39/23.79 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB15) | (~v106(constB15))),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 37.39/23.79 tff(2279,plain,
% 37.39/23.79 (v102(constB15)),
% 37.39/23.79 inference(unit_resolution,[status(thm)],[2278, 362, 2275])).
% 37.39/23.79 tff(2280,plain,
% 37.39/23.79 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2281,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 37.39/23.79 tff(2282,plain,
% 37.39/23.79 (nextState(constB15, constB16)),
% 37.39/23.79 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 37.39/23.79 tff(2283,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2284,plain,
% 37.39/23.79 (((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16)) <=> ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 37.39/23.79 inference(rewrite,[status(thm)],[])).
% 37.39/23.79 tff(2285,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15))))),
% 37.39/23.79 inference(monotonicity,[status(thm)],[2284])).
% 37.39/23.79 tff(2286,plain,
% 37.39/23.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 37.39/23.80 inference(transitivity,[status(thm)],[2285, 2283])).
% 37.39/23.80 tff(2287,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2288,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2287, 2286])).
% 37.39/23.80 tff(2289,plain,
% 37.39/23.80 (v104(constB16) | (~v102(constB15))),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2288, 379, 2282])).
% 37.39/23.80 tff(2290,plain,
% 37.39/23.80 (v104(constB16)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2289, 2279])).
% 37.39/23.80 tff(2291,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2292,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2293,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 37.39/23.80 tff(2294,plain,
% 37.39/23.80 (~v98(constB16)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2293, 397, 2282, 2145])).
% 37.39/23.80 tff(2295,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2296,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2297,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB15, constB16)) | v96(constB16) | v98(constB16)),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2296, 2295])).
% 37.39/23.80 tff(2298,plain,
% 37.39/23.80 (v96(constB16) | v98(constB16)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2297, 411, 2282])).
% 37.39/23.80 tff(2299,plain,
% 37.39/23.80 (v96(constB16)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2298, 2294])).
% 37.39/23.80 tff(2300,plain,
% 37.39/23.80 (v1(constB16) <=> v1(constB16)),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2301,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 37.39/23.80 tff(2302,plain,
% 37.39/23.80 (v1(constB16)),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 37.39/23.80 tff(2303,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2304,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2305,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2304, 2303])).
% 37.39/23.80 tff(2306,plain,
% 37.39/23.80 (v95(constB16) | (~v96(constB16))),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2305, 429, 2282, 2302])).
% 37.39/23.80 tff(2307,plain,
% 37.39/23.80 (v95(constB16)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2306, 2299])).
% 37.39/23.80 tff(2308,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2309,plain,
% 37.39/23.80 (((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16)) <=> ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2310,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16))))),
% 37.39/23.80 inference(monotonicity,[status(thm)],[2309])).
% 37.39/23.80 tff(2311,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 37.39/23.80 inference(transitivity,[status(thm)],[2310, 2308])).
% 37.39/23.80 tff(2312,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2313,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2312, 2311])).
% 37.39/23.80 tff(2314,plain,
% 37.39/23.80 (v94(constB16) | (~v95(constB16)) | (~v104(constB16))),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2313, 444, 2282])).
% 37.39/23.80 tff(2315,plain,
% 37.39/23.80 (v94(constB16) | (~v104(constB16))),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2314, 2307])).
% 37.39/23.80 tff(2316,plain,
% 37.39/23.80 (v94(constB16)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2315, 2290])).
% 37.39/23.80 tff(2317,plain,
% 37.39/23.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB15, bitIndex1)) | (~v172(constB15)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB15, bitIndex1)) | (~v172(constB15)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2318,plain,
% 37.39/23.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB15, bitIndex1)) | (~v172(constB15)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2319,plain,
% 37.39/23.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB15, bitIndex1)) | (~v172(constB15))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 37.39/23.80 tff(2320,plain,
% 37.39/23.80 (~v172(constB15)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2319, 1105, 2169])).
% 37.39/23.80 tff(2321,plain,
% 37.39/23.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB15, bitIndex2)) | (~v115(constB15)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB15, bitIndex2)) | (~v115(constB15)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2322,plain,
% 37.39/23.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB15, bitIndex2)) | (~v115(constB15)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2323,plain,
% 37.39/23.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB15, bitIndex2)) | (~v115(constB15))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 37.39/23.80 tff(2324,plain,
% 37.39/23.80 (~v115(constB15)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2323, 1058, 2200])).
% 37.39/23.80 tff(2325,plain,
% 37.39/23.80 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB15)) | (~v84(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB15)) | (~v84(constB15, bitIndex1)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2326,plain,
% 37.39/23.80 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB15)) | (~v84(constB15, bitIndex1)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2327,plain,
% 37.39/23.80 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB15)) | (~v84(constB15, bitIndex1))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 37.39/23.80 tff(2328,plain,
% 37.39/23.80 (~v113(constB15)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2327, 1083, 2169])).
% 37.39/23.80 tff(2329,plain,
% 37.39/23.80 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v116(VarCurr))))),
% 37.39/23.80 inference(bind,[status(th)],[])).
% 37.39/23.80 tff(2330,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 37.39/23.80 inference(quant_intro,[status(thm)],[2329])).
% 37.39/23.80 tff(2331,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2332,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 37.39/23.80 tff(2333,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2332, 2331])).
% 37.39/23.80 tff(2334,plain,(
% 37.39/23.80 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 37.39/23.80 inference(skolemize,[status(sab)],[2333])).
% 37.39/23.80 tff(2335,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2334, 2330])).
% 37.39/23.80 tff(2336,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB15, bitIndex0) | (~v116(constB15)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB15, bitIndex0) | (~v116(constB15)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2337,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB15, bitIndex0) | (~v116(constB15)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2338,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB15, bitIndex0) | (~v116(constB15))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 37.39/23.80 tff(2339,plain,
% 37.39/23.80 (~v116(constB15)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2338, 2335, 2261])).
% 37.39/23.80 tff(2340,plain,
% 37.39/23.80 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v118(VarCurr))))),
% 37.39/23.80 inference(bind,[status(th)],[])).
% 37.39/23.80 tff(2341,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 37.39/23.80 inference(quant_intro,[status(thm)],[2340])).
% 37.39/23.80 tff(2342,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2343,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 37.39/23.80 tff(2344,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 37.39/23.80 tff(2345,plain,(
% 37.39/23.80 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 37.39/23.80 inference(skolemize,[status(sab)],[2344])).
% 37.39/23.80 tff(2346,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2345, 2341])).
% 37.39/23.80 tff(2347,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB15, bitIndex0) | (~v118(constB15)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB15, bitIndex0) | (~v118(constB15)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2348,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB15, bitIndex0) | (~v118(constB15)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2349,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB15, bitIndex0) | (~v118(constB15))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2348, 2347])).
% 37.39/23.80 tff(2350,plain,
% 37.39/23.80 (~v118(constB15)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2349, 2346, 2261])).
% 37.39/23.80 tff(2351,plain,
% 37.39/23.80 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v145(VarCurr))))),
% 37.39/23.80 inference(bind,[status(th)],[])).
% 37.39/23.80 tff(2352,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 37.39/23.80 inference(quant_intro,[status(thm)],[2351])).
% 37.39/23.80 tff(2353,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2354,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 37.39/23.80 tff(2355,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 37.39/23.80 tff(2356,plain,(
% 37.39/23.80 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 37.39/23.80 inference(skolemize,[status(sab)],[2355])).
% 37.39/23.80 tff(2357,plain,
% 37.39/23.80 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2356, 2352])).
% 37.39/23.80 tff(2358,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB15, bitIndex0) | (~v145(constB15)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB15, bitIndex0) | (~v145(constB15)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2359,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB15, bitIndex0) | (~v145(constB15)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2360,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB15, bitIndex0) | (~v145(constB15))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2359, 2358])).
% 37.39/23.80 tff(2361,plain,
% 37.39/23.80 (~v145(constB15)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2360, 2357, 2261])).
% 37.39/23.80 tff(2362,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB15) | v172(constB15) | (~v124(constB15, bitIndex2)) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB15) | v172(constB15) | (~v124(constB15, bitIndex2)) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2363,plain,
% 37.39/23.80 ((v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex2))) <=> (v145(constB15) | v172(constB15) | (~v124(constB15, bitIndex2)) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2364,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB15) | v172(constB15) | (~v124(constB15, bitIndex2)) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15)))),
% 37.39/23.80 inference(monotonicity,[status(thm)],[2363])).
% 37.39/23.80 tff(2365,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB15) | v172(constB15) | (~v124(constB15, bitIndex2)) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15))),
% 37.39/23.80 inference(transitivity,[status(thm)],[2364, 2362])).
% 37.39/23.80 tff(2366,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex2)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2367,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB15) | v172(constB15) | (~v124(constB15, bitIndex2)) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15)),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 37.39/23.80 tff(2368,plain,
% 37.39/23.80 (v172(constB15) | (~v124(constB15, bitIndex2)) | v113(constB15) | v115(constB15)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2367, 1130, 2361, 2350, 2339])).
% 37.39/23.80 tff(2369,plain,
% 37.39/23.80 (~v124(constB15, bitIndex2)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2368, 2328, 2324, 2320])).
% 37.39/23.80 tff(2370,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2371,plain,
% 37.39/23.80 ((v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2))) <=> ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2372,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2)))),
% 37.39/23.80 inference(monotonicity,[status(thm)],[2371])).
% 37.39/23.80 tff(2373,plain,
% 37.39/23.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 37.39/23.80 inference(transitivity,[status(thm)],[2372, 2370])).
% 37.39/23.80 tff(2374,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2375,plain,
% 37.39/23.80 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2)),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 37.39/23.80 tff(2376,plain,
% 37.39/23.80 ((~v121(constB15, bitIndex2)) | v26(constB15)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2375, 1147, 2369])).
% 37.39/23.80 tff(2377,plain,
% 37.39/23.80 (~v121(constB15, bitIndex2)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2376, 139])).
% 37.39/23.80 tff(2378,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2379,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2380,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 37.39/23.80 tff(2381,plain,
% 37.39/23.80 (v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2))),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2380, 1165, 2282])).
% 37.39/23.80 tff(2382,plain,
% 37.39/23.80 (~v123(constB16, bitIndex2)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2381, 2377])).
% 37.39/23.80 tff(2383,plain,
% 37.39/23.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2384,plain,
% 37.39/23.80 (((~v84(constB16, bitIndex2)) | (~v94(constB16)) | v123(constB16, bitIndex2)) <=> ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2385,plain,
% 37.39/23.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | (~v94(constB16)) | v123(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16))))),
% 37.39/23.80 inference(monotonicity,[status(thm)],[2384])).
% 37.39/23.80 tff(2386,plain,
% 37.39/23.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | (~v94(constB16)) | v123(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 37.39/23.80 inference(transitivity,[status(thm)],[2385, 2383])).
% 37.39/23.80 tff(2387,plain,
% 37.39/23.80 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | (~v94(constB16)) | v123(constB16, bitIndex2))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2388,plain,
% 37.39/23.80 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 37.39/23.80 tff(2389,plain,
% 37.39/23.80 ((~v84(constB16, bitIndex2)) | (~v94(constB16))),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2388, 1180, 2382])).
% 37.39/23.80 tff(2390,plain,
% 37.39/23.80 (~v84(constB16, bitIndex2)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2389, 2316])).
% 37.39/23.80 tff(2391,plain,
% 37.39/23.80 ((~v1(constB17)) <=> (~v1(constB17))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2392,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 37.39/23.80 tff(2393,plain,
% 37.39/23.80 (~v1(constB17)),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 37.39/23.80 tff(2394,plain,
% 37.39/23.80 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2395,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 37.39/23.80 tff(2396,plain,
% 37.39/23.80 (nextState(constB16, constB17)),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2395, 2394])).
% 37.39/23.80 tff(2397,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2398,plain,
% 37.39/23.80 (((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2399,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17))))),
% 37.39/23.80 inference(monotonicity,[status(thm)],[2398])).
% 37.39/23.80 tff(2400,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 37.39/23.80 inference(transitivity,[status(thm)],[2399, 2397])).
% 37.39/23.80 tff(2401,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2402,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 37.39/23.80 tff(2403,plain,
% 37.39/23.80 (~v95(constB17)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2402, 175, 2396, 2393])).
% 37.39/23.80 tff(2404,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))),
% 37.39/23.80 inference(rewrite,[status(thm)],[])).
% 37.39/23.80 tff(2405,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))),
% 37.39/23.80 inference(quant_inst,[status(thm)],[])).
% 37.39/23.80 tff(2406,plain,
% 37.39/23.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17))),
% 37.39/23.80 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 37.39/23.80 tff(2407,plain,
% 37.39/23.80 (v95(constB17) | (~v94(constB17))),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2406, 192, 2396])).
% 37.39/23.80 tff(2408,plain,
% 37.39/23.80 (~v94(constB17)),
% 37.39/23.80 inference(unit_resolution,[status(thm)],[2407, 2403])).
% 37.39/23.80 tff(2409,plain,
% 37.39/23.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2410,plain,
% 37.39/23.81 (((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2))) <=> (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2411,plain,
% 37.39/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2))))),
% 37.39/23.81 inference(monotonicity,[status(thm)],[2410])).
% 37.39/23.81 tff(2412,plain,
% 37.39/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 37.39/23.81 inference(transitivity,[status(thm)],[2411, 2409])).
% 37.39/23.81 tff(2413,plain,
% 37.39/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 37.39/23.81 inference(quant_inst,[status(thm)],[])).
% 37.39/23.81 tff(2414,plain,
% 37.39/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2))),
% 37.39/23.81 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 37.39/23.81 tff(2415,plain,
% 37.39/23.81 (v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2))),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2414, 207, 2396])).
% 37.39/23.81 tff(2416,plain,
% 37.39/23.81 (v84(constB16, bitIndex2) | (~v84(constB17, bitIndex2))),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2415, 2408])).
% 37.39/23.81 tff(2417,plain,
% 37.39/23.81 (~v84(constB17, bitIndex2)),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2416, 2390])).
% 37.39/23.81 tff(2418,plain,
% 37.39/23.81 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2419,plain,
% 37.39/23.81 ((v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex1))) <=> (v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2420,plain,
% 37.39/23.81 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15)))),
% 37.39/23.81 inference(monotonicity,[status(thm)],[2419])).
% 37.39/23.81 tff(2421,plain,
% 37.39/23.81 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15))),
% 37.39/23.81 inference(transitivity,[status(thm)],[2420, 2418])).
% 37.39/23.81 tff(2422,plain,
% 37.39/23.81 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | (~v124(constB15, bitIndex1)))),
% 37.39/23.81 inference(quant_inst,[status(thm)],[])).
% 37.39/23.81 tff(2423,plain,
% 37.39/23.81 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB15) | (~v124(constB15, bitIndex1)) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15)),
% 37.39/23.81 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 37.39/23.81 tff(2424,plain,
% 37.39/23.81 ((~v124(constB15, bitIndex1)) | v172(constB15) | v113(constB15) | v115(constB15)),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2423, 1225, 2361, 2350, 2339])).
% 37.39/23.81 tff(2425,plain,
% 37.39/23.81 (~v124(constB15, bitIndex1)),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2424, 2328, 2324, 2320])).
% 37.39/23.81 tff(2426,plain,
% 37.39/23.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2427,plain,
% 37.39/23.81 ((v26(constB15) | v124(constB15, bitIndex1) | (~v121(constB15, bitIndex1))) <=> ((~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2428,plain,
% 37.39/23.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB15) | v124(constB15, bitIndex1) | (~v121(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1)))),
% 37.39/23.81 inference(monotonicity,[status(thm)],[2427])).
% 37.39/23.81 tff(2429,plain,
% 37.39/23.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB15) | v124(constB15, bitIndex1) | (~v121(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1))),
% 37.39/23.81 inference(transitivity,[status(thm)],[2428, 2426])).
% 37.39/23.81 tff(2430,plain,
% 37.39/23.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB15) | v124(constB15, bitIndex1) | (~v121(constB15, bitIndex1)))),
% 37.39/23.81 inference(quant_inst,[status(thm)],[])).
% 37.39/23.81 tff(2431,plain,
% 37.39/23.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB15, bitIndex1)) | v26(constB15) | v124(constB15, bitIndex1)),
% 37.39/23.81 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 37.39/23.81 tff(2432,plain,
% 37.39/23.81 ((~v121(constB15, bitIndex1)) | v26(constB15)),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2431, 576, 2425])).
% 37.39/23.81 tff(2433,plain,
% 37.39/23.81 (~v121(constB15, bitIndex1)),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2432, 139])).
% 37.39/23.81 tff(2434,plain,
% 37.39/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1)))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2435,plain,
% 37.39/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1)))),
% 37.39/23.81 inference(quant_inst,[status(thm)],[])).
% 37.39/23.81 tff(2436,plain,
% 37.39/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1))),
% 37.39/23.81 inference(modus_ponens,[status(thm)],[2435, 2434])).
% 37.39/23.81 tff(2437,plain,
% 37.39/23.81 (v121(constB15, bitIndex1) | (~v123(constB16, bitIndex1))),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2436, 594, 2282])).
% 37.39/23.81 tff(2438,plain,
% 37.39/23.81 (~v123(constB16, bitIndex1)),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2437, 2433])).
% 37.39/23.81 tff(2439,plain,
% 37.39/23.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16)))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2440,plain,
% 37.39/23.81 (((~v84(constB16, bitIndex1)) | (~v94(constB16)) | v123(constB16, bitIndex1)) <=> ((~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16)))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2441,plain,
% 37.39/23.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~v94(constB16)) | v123(constB16, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16))))),
% 37.39/23.81 inference(monotonicity,[status(thm)],[2440])).
% 37.39/23.81 tff(2442,plain,
% 37.39/23.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~v94(constB16)) | v123(constB16, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16)))),
% 37.39/23.81 inference(transitivity,[status(thm)],[2441, 2439])).
% 37.39/23.81 tff(2443,plain,
% 37.39/23.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~v94(constB16)) | v123(constB16, bitIndex1))),
% 37.39/23.81 inference(quant_inst,[status(thm)],[])).
% 37.39/23.81 tff(2444,plain,
% 37.39/23.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | v123(constB16, bitIndex1) | (~v94(constB16))),
% 37.39/23.81 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 37.39/23.81 tff(2445,plain,
% 37.39/23.81 ((~v84(constB16, bitIndex1)) | (~v94(constB16))),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2444, 609, 2438])).
% 37.39/23.81 tff(2446,plain,
% 37.39/23.81 (~v84(constB16, bitIndex1)),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2445, 2316])).
% 37.39/23.81 tff(2447,plain,
% 37.39/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1)))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2448,plain,
% 37.39/23.81 (((~nextState(constB16, constB17)) | v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1))) <=> (v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1)))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2449,plain,
% 37.39/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1))))),
% 37.39/23.81 inference(monotonicity,[status(thm)],[2448])).
% 37.39/23.81 tff(2450,plain,
% 37.39/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1)))),
% 37.39/23.81 inference(transitivity,[status(thm)],[2449, 2447])).
% 37.39/23.81 tff(2451,plain,
% 37.39/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1)))),
% 37.39/23.81 inference(quant_inst,[status(thm)],[])).
% 37.39/23.81 tff(2452,plain,
% 37.39/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex1))),
% 37.39/23.81 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 37.39/23.81 tff(2453,plain,
% 37.39/23.81 (v84(constB16, bitIndex1) | v94(constB17) | (~v84(constB17, bitIndex1))),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2452, 228, 2396])).
% 37.39/23.81 tff(2454,plain,
% 37.39/23.81 (v84(constB16, bitIndex1) | (~v84(constB17, bitIndex1))),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2453, 2408])).
% 37.39/23.81 tff(2455,plain,
% 37.39/23.81 (~v84(constB17, bitIndex1)),
% 37.39/23.81 inference(unit_resolution,[status(thm)],[2454, 2446])).
% 37.39/23.81 tff(2456,plain,
% 37.39/23.81 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB15) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15) | v124(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB15) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15) | v124(constB15, bitIndex0))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2457,plain,
% 37.39/23.81 ((v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | v124(constB15, bitIndex0)) <=> (v145(constB15) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15) | v124(constB15, bitIndex0))),
% 37.39/23.81 inference(rewrite,[status(thm)],[])).
% 37.39/23.81 tff(2458,plain,
% 37.39/23.81 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | v124(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB15) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15) | v124(constB15, bitIndex0)))),
% 37.43/23.81 inference(monotonicity,[status(thm)],[2457])).
% 37.43/23.81 tff(2459,plain,
% 37.43/23.81 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | v124(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB15) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15) | v124(constB15, bitIndex0))),
% 37.43/23.81 inference(transitivity,[status(thm)],[2458, 2456])).
% 37.43/23.81 tff(2460,plain,
% 37.43/23.81 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB15) | v145(constB15) | v115(constB15) | v116(constB15) | v172(constB15) | v118(constB15) | v124(constB15, bitIndex0))),
% 37.43/23.81 inference(quant_inst,[status(thm)],[])).
% 37.43/23.81 tff(2461,plain,
% 37.43/23.81 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB15) | v172(constB15) | v118(constB15) | v113(constB15) | v116(constB15) | v115(constB15) | v124(constB15, bitIndex0)),
% 37.43/23.81 inference(modus_ponens,[status(thm)],[2460, 2459])).
% 37.43/23.81 tff(2462,plain,
% 37.43/23.81 (v172(constB15) | v113(constB15) | v115(constB15) | v124(constB15, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2461, 1272, 2361, 2350, 2339])).
% 37.43/23.81 tff(2463,plain,
% 37.43/23.81 (v124(constB15, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2462, 2328, 2324, 2320])).
% 37.43/23.81 tff(2464,plain,
% 37.43/23.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB15) | (~v124(constB15, bitIndex0)) | v121(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB15) | (~v124(constB15, bitIndex0)) | v121(constB15, bitIndex0))),
% 37.43/23.81 inference(rewrite,[status(thm)],[])).
% 37.43/23.81 tff(2465,plain,
% 37.43/23.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB15) | (~v124(constB15, bitIndex0)) | v121(constB15, bitIndex0))),
% 37.43/23.81 inference(quant_inst,[status(thm)],[])).
% 37.43/23.81 tff(2466,plain,
% 37.43/23.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB15) | (~v124(constB15, bitIndex0)) | v121(constB15, bitIndex0)),
% 37.43/23.81 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 37.43/23.81 tff(2467,plain,
% 37.43/23.81 (v26(constB15) | v121(constB15, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2466, 1289, 2463])).
% 37.43/23.81 tff(2468,plain,
% 37.43/23.81 (v121(constB15, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2467, 139])).
% 37.43/23.81 tff(2469,plain,
% 37.43/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0))),
% 37.43/23.81 inference(rewrite,[status(thm)],[])).
% 37.43/23.81 tff(2470,plain,
% 37.43/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0))),
% 37.43/23.81 inference(quant_inst,[status(thm)],[])).
% 37.43/23.81 tff(2471,plain,
% 37.43/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0)),
% 37.43/23.81 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 37.43/23.81 tff(2472,plain,
% 37.43/23.81 ((~v121(constB15, bitIndex0)) | v123(constB16, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2471, 1304, 2282])).
% 37.43/23.81 tff(2473,plain,
% 37.43/23.81 (v123(constB16, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2472, 2468])).
% 37.43/23.81 tff(2474,plain,
% 37.43/23.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16)))),
% 37.43/23.81 inference(rewrite,[status(thm)],[])).
% 37.43/23.81 tff(2475,plain,
% 37.43/23.81 ((v84(constB16, bitIndex0) | (~v94(constB16)) | (~v123(constB16, bitIndex0))) <=> (v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16)))),
% 37.43/23.81 inference(rewrite,[status(thm)],[])).
% 37.43/23.81 tff(2476,plain,
% 37.43/23.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v94(constB16)) | (~v123(constB16, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16))))),
% 37.43/23.81 inference(monotonicity,[status(thm)],[2475])).
% 37.43/23.81 tff(2477,plain,
% 37.43/23.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v94(constB16)) | (~v123(constB16, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16)))),
% 37.43/23.81 inference(transitivity,[status(thm)],[2476, 2474])).
% 37.43/23.81 tff(2478,plain,
% 37.43/23.81 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~v94(constB16)) | (~v123(constB16, bitIndex0)))),
% 37.43/23.81 inference(quant_inst,[status(thm)],[])).
% 37.43/23.81 tff(2479,plain,
% 37.43/23.81 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~v123(constB16, bitIndex0)) | (~v94(constB16))),
% 37.43/23.81 inference(modus_ponens,[status(thm)],[2478, 2477])).
% 37.43/23.81 tff(2480,plain,
% 37.43/23.81 (v84(constB16, bitIndex0) | (~v94(constB16))),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2479, 1319, 2473])).
% 37.43/23.81 tff(2481,plain,
% 37.43/23.81 (v84(constB16, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2480, 2316])).
% 37.43/23.81 tff(2482,plain,
% 37.43/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0))),
% 37.43/23.81 inference(rewrite,[status(thm)],[])).
% 37.43/23.81 tff(2483,plain,
% 37.43/23.81 (((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0)) <=> ((~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0))),
% 37.43/23.81 inference(rewrite,[status(thm)],[])).
% 37.43/23.81 tff(2484,plain,
% 37.43/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0)))),
% 37.43/23.81 inference(monotonicity,[status(thm)],[2483])).
% 37.43/23.81 tff(2485,plain,
% 37.43/23.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0))),
% 37.43/23.81 inference(transitivity,[status(thm)],[2484, 2482])).
% 37.43/23.81 tff(2486,plain,
% 37.43/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0))),
% 37.43/23.81 inference(quant_inst,[status(thm)],[])).
% 37.43/23.81 tff(2487,plain,
% 37.43/23.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex0)),
% 37.43/23.81 inference(modus_ponens,[status(thm)],[2486, 2485])).
% 37.43/23.81 tff(2488,plain,
% 37.43/23.81 ((~v84(constB16, bitIndex0)) | v94(constB17) | v84(constB17, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2487, 1337, 2396])).
% 37.43/23.81 tff(2489,plain,
% 37.43/23.81 ((~v84(constB16, bitIndex0)) | v84(constB17, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2488, 2408])).
% 37.43/23.81 tff(2490,plain,
% 37.43/23.81 (v84(constB17, bitIndex0)),
% 37.43/23.81 inference(unit_resolution,[status(thm)],[2489, 2481])).
% 37.43/23.81 tff(2491,plain,
% 37.43/23.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB17, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v145(constB17))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB17, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v145(constB17))),
% 37.43/23.81 inference(rewrite,[status(thm)],[])).
% 37.43/23.81 tff(2492,plain,
% 37.43/23.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB17, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v145(constB17))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2493,plain,
% 37.43/23.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB17, bitIndex0)) | v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | v145(constB17)),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 37.43/23.82 tff(2494,plain,
% 37.43/23.82 (v145(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2493, 1356, 2490, 2455, 2417])).
% 37.43/23.82 tff(2495,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB17) | (~v145(constB17)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB17) | (~v145(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2496,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB17) | (~v145(constB17)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2497,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB17) | (~v145(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2496, 2495])).
% 37.43/23.82 tff(2498,plain,
% 37.43/23.82 (v112(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2497, 1367, 2494])).
% 37.43/23.82 tff(2499,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB17) | (~v112(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2500,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB17) | (~v112(constB17)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2501,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB17) | (~v112(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 37.43/23.82 tff(2502,plain,
% 37.43/23.82 (v111(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2501, 292, 2498])).
% 37.43/23.82 tff(2503,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB17) | (~v111(constB17)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB17) | (~v111(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2504,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB17) | (~v111(constB17)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2505,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB17) | (~v111(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 37.43/23.82 tff(2506,plain,
% 37.43/23.82 (v110(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2505, 303, 2502])).
% 37.43/23.82 tff(2507,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB17) | (~v110(constB17)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB17) | (~v110(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2508,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB17) | (~v110(constB17)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2509,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB17) | (~v110(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 37.43/23.82 tff(2510,plain,
% 37.43/23.82 (v109(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2509, 314, 2506])).
% 37.43/23.82 tff(2511,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB17) | (~v109(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB17) | (~v109(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2512,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB17) | (~v109(constB17)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2513,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB17) | (~v109(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 37.43/23.82 tff(2514,plain,
% 37.43/23.82 (v108(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2513, 325, 2510])).
% 37.43/23.82 tff(2515,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB17) | (~v108(constB17)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB17) | (~v108(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2516,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB17) | (~v108(constB17)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2517,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB17) | (~v108(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2516, 2515])).
% 37.43/23.82 tff(2518,plain,
% 37.43/23.82 (v107(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2517, 336, 2514])).
% 37.43/23.82 tff(2519,assumption,(v26(constB17)), introduced(assumption)).
% 37.43/23.82 tff(2520,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2521,plain,
% 37.43/23.82 ($false),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2520, 120, 2519])).
% 37.43/23.82 tff(2522,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 37.43/23.82 tff(2523,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | v106(constB17) | (~v107(constB17)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | v106(constB17) | (~v107(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2524,plain,
% 37.43/23.82 ((v26(constB17) | (~v107(constB17)) | v106(constB17)) <=> (v26(constB17) | v106(constB17) | (~v107(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2525,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | v106(constB17) | (~v107(constB17))))),
% 37.43/23.82 inference(monotonicity,[status(thm)],[2524])).
% 37.43/23.82 tff(2526,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | v106(constB17) | (~v107(constB17)))),
% 37.43/23.82 inference(transitivity,[status(thm)],[2525, 2523])).
% 37.43/23.82 tff(2527,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2528,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | v106(constB17) | (~v107(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2527, 2526])).
% 37.43/23.82 tff(2529,plain,
% 37.43/23.82 (v106(constB17) | (~v107(constB17))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2528, 350, 2522])).
% 37.43/23.82 tff(2530,plain,
% 37.43/23.82 (v106(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2529, 2518])).
% 37.43/23.82 tff(2531,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB17) | (~v106(constB17)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB17) | (~v106(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2532,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB17) | (~v106(constB17)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2533,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB17) | (~v106(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2532, 2531])).
% 37.43/23.82 tff(2534,plain,
% 37.43/23.82 (v102(constB17)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2533, 362, 2530])).
% 37.43/23.82 tff(2535,plain,
% 37.43/23.82 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2536,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 37.43/23.82 tff(2537,plain,
% 37.43/23.82 (nextState(constB17, constB18)),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2536, 2535])).
% 37.43/23.82 tff(2538,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2539,plain,
% 37.43/23.82 (((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18)) <=> ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2540,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17))))),
% 37.43/23.82 inference(monotonicity,[status(thm)],[2539])).
% 37.43/23.82 tff(2541,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 37.43/23.82 inference(transitivity,[status(thm)],[2540, 2538])).
% 37.43/23.82 tff(2542,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2543,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2542, 2541])).
% 37.43/23.82 tff(2544,plain,
% 37.43/23.82 (v104(constB18) | (~v102(constB17))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2543, 379, 2537])).
% 37.43/23.82 tff(2545,plain,
% 37.43/23.82 (v104(constB18)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2544, 2534])).
% 37.43/23.82 tff(2546,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2547,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2548,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 37.43/23.82 tff(2549,plain,
% 37.43/23.82 (~v98(constB18)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2548, 397, 2537, 2393])).
% 37.43/23.82 tff(2550,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2551,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2552,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB17, constB18)) | v96(constB18) | v98(constB18)),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 37.43/23.82 tff(2553,plain,
% 37.43/23.82 (v96(constB18) | v98(constB18)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2552, 411, 2537])).
% 37.43/23.82 tff(2554,plain,
% 37.43/23.82 (v96(constB18)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2553, 2549])).
% 37.43/23.82 tff(2555,plain,
% 37.43/23.82 (v1(constB18) <=> v1(constB18)),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2556,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 37.43/23.82 tff(2557,plain,
% 37.43/23.82 (v1(constB18)),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 37.43/23.82 tff(2558,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2559,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2560,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 37.43/23.82 tff(2561,plain,
% 37.43/23.82 (v95(constB18) | (~v96(constB18))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2560, 429, 2537, 2557])).
% 37.43/23.82 tff(2562,plain,
% 37.43/23.82 (v95(constB18)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2561, 2554])).
% 37.43/23.82 tff(2563,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2564,plain,
% 37.43/23.82 (((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18)) <=> ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2565,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18))))),
% 37.43/23.82 inference(monotonicity,[status(thm)],[2564])).
% 37.43/23.82 tff(2566,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 37.43/23.82 inference(transitivity,[status(thm)],[2565, 2563])).
% 37.43/23.82 tff(2567,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2568,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 37.43/23.82 tff(2569,plain,
% 37.43/23.82 (v94(constB18) | (~v95(constB18)) | (~v104(constB18))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2568, 444, 2537])).
% 37.43/23.82 tff(2570,plain,
% 37.43/23.82 (v94(constB18) | (~v104(constB18))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2569, 2562])).
% 37.43/23.82 tff(2571,plain,
% 37.43/23.82 (v94(constB18)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2570, 2545])).
% 37.43/23.82 tff(2572,plain,
% 37.43/23.82 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB17)) | (~v124(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB17)) | (~v124(constB17, bitIndex2)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2573,plain,
% 37.43/23.82 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB17)) | (~v124(constB17, bitIndex2)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2574,plain,
% 37.43/23.82 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB17)) | (~v124(constB17, bitIndex2))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 37.43/23.82 tff(2575,plain,
% 37.43/23.82 (~v124(constB17, bitIndex2)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2574, 1451, 2494])).
% 37.43/23.82 tff(2576,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2577,plain,
% 37.43/23.82 ((v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2))) <=> ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2578,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2)))),
% 37.43/23.82 inference(monotonicity,[status(thm)],[2577])).
% 37.43/23.82 tff(2579,plain,
% 37.43/23.82 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 37.43/23.82 inference(transitivity,[status(thm)],[2578, 2576])).
% 37.43/23.82 tff(2580,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2581,plain,
% 37.43/23.82 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2)),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 37.43/23.82 tff(2582,plain,
% 37.43/23.82 ((~v121(constB17, bitIndex2)) | v124(constB17, bitIndex2)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2581, 1147, 2522])).
% 37.43/23.82 tff(2583,plain,
% 37.43/23.82 (~v121(constB17, bitIndex2)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2582, 2575])).
% 37.43/23.82 tff(2584,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2585,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2586,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2585, 2584])).
% 37.43/23.82 tff(2587,plain,
% 37.43/23.82 (v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2586, 1165, 2537])).
% 37.43/23.82 tff(2588,plain,
% 37.43/23.82 (~v123(constB18, bitIndex2)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2587, 2583])).
% 37.43/23.82 tff(2589,plain,
% 37.43/23.82 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2590,plain,
% 37.43/23.82 (((~v84(constB18, bitIndex2)) | (~v94(constB18)) | v123(constB18, bitIndex2)) <=> ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2591,plain,
% 37.43/23.82 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | (~v94(constB18)) | v123(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18))))),
% 37.43/23.82 inference(monotonicity,[status(thm)],[2590])).
% 37.43/23.82 tff(2592,plain,
% 37.43/23.82 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | (~v94(constB18)) | v123(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 37.43/23.82 inference(transitivity,[status(thm)],[2591, 2589])).
% 37.43/23.82 tff(2593,plain,
% 37.43/23.82 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | (~v94(constB18)) | v123(constB18, bitIndex2))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2594,plain,
% 37.43/23.82 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2593, 2592])).
% 37.43/23.82 tff(2595,plain,
% 37.43/23.82 ((~v84(constB18, bitIndex2)) | (~v94(constB18))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2594, 1180, 2588])).
% 37.43/23.82 tff(2596,plain,
% 37.43/23.82 (~v84(constB18, bitIndex2)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2595, 2571])).
% 37.43/23.82 tff(2597,plain,
% 37.43/23.82 ((~v1(constB19)) <=> (~v1(constB19))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2598,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 37.43/23.82 tff(2599,plain,
% 37.43/23.82 (~v1(constB19)),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2598, 2597])).
% 37.43/23.82 tff(2600,plain,
% 37.43/23.82 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2601,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 37.43/23.82 tff(2602,plain,
% 37.43/23.82 (nextState(constB18, constB19)),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 37.43/23.82 tff(2603,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2604,plain,
% 37.43/23.82 (((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2605,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19))))),
% 37.43/23.82 inference(monotonicity,[status(thm)],[2604])).
% 37.43/23.82 tff(2606,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 37.43/23.82 inference(transitivity,[status(thm)],[2605, 2603])).
% 37.43/23.82 tff(2607,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2608,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 37.43/23.82 tff(2609,plain,
% 37.43/23.82 (~v95(constB19)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2608, 175, 2602, 2599])).
% 37.43/23.82 tff(2610,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2611,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2612,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 37.43/23.82 tff(2613,plain,
% 37.43/23.82 (v95(constB19) | (~v94(constB19))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2612, 192, 2602])).
% 37.43/23.82 tff(2614,plain,
% 37.43/23.82 (~v94(constB19)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2613, 2609])).
% 37.43/23.82 tff(2615,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2616,plain,
% 37.43/23.82 (((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2))) <=> (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2617,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2))))),
% 37.43/23.82 inference(monotonicity,[status(thm)],[2616])).
% 37.43/23.82 tff(2618,plain,
% 37.43/23.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 37.43/23.82 inference(transitivity,[status(thm)],[2617, 2615])).
% 37.43/23.82 tff(2619,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2620,plain,
% 37.43/23.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2))),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 37.43/23.82 tff(2621,plain,
% 37.43/23.82 (v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2620, 207, 2602])).
% 37.43/23.82 tff(2622,plain,
% 37.43/23.82 (v84(constB18, bitIndex2) | (~v84(constB19, bitIndex2))),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2621, 2614])).
% 37.43/23.82 tff(2623,plain,
% 37.43/23.82 (~v84(constB19, bitIndex2)),
% 37.43/23.82 inference(unit_resolution,[status(thm)],[2622, 2596])).
% 37.43/23.82 tff(2624,plain,
% 37.43/23.82 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB17)) | v124(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB17)) | v124(constB17, bitIndex1))),
% 37.43/23.82 inference(rewrite,[status(thm)],[])).
% 37.43/23.82 tff(2625,plain,
% 37.43/23.82 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB17)) | v124(constB17, bitIndex1))),
% 37.43/23.82 inference(quant_inst,[status(thm)],[])).
% 37.43/23.82 tff(2626,plain,
% 37.43/23.82 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB17)) | v124(constB17, bitIndex1)),
% 37.43/23.82 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 37.43/23.83 tff(2627,plain,
% 37.43/23.83 (v124(constB17, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2626, 1513, 2494])).
% 37.43/23.83 tff(2628,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2629,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2630,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1)),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2629, 2628])).
% 37.43/23.83 tff(2631,plain,
% 37.43/23.83 ((~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2630, 875, 2522])).
% 37.43/23.83 tff(2632,plain,
% 37.43/23.83 (v121(constB17, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2631, 2627])).
% 37.43/23.83 tff(2633,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2634,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2635,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1)),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 37.43/23.83 tff(2636,plain,
% 37.43/23.83 ((~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2635, 890, 2537])).
% 37.43/23.83 tff(2637,plain,
% 37.43/23.83 (v123(constB18, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2636, 2632])).
% 37.43/23.83 tff(2638,plain,
% 37.43/23.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2639,plain,
% 37.43/23.83 ((v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1))) <=> (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2640,plain,
% 37.43/23.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18))))),
% 37.43/23.83 inference(monotonicity,[status(thm)],[2639])).
% 37.43/23.83 tff(2641,plain,
% 37.43/23.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 37.43/23.83 inference(transitivity,[status(thm)],[2640, 2638])).
% 37.43/23.83 tff(2642,plain,
% 37.43/23.83 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2643,plain,
% 37.43/23.83 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 37.43/23.83 tff(2644,plain,
% 37.43/23.83 (v84(constB18, bitIndex1) | (~v94(constB18))),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2643, 905, 2637])).
% 37.43/23.83 tff(2645,plain,
% 37.43/23.83 (v84(constB18, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2644, 2571])).
% 37.43/23.83 tff(2646,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2647,plain,
% 37.43/23.83 (((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1)) <=> ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2648,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1)))),
% 37.43/23.83 inference(monotonicity,[status(thm)],[2647])).
% 37.43/23.83 tff(2649,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 37.43/23.83 inference(transitivity,[status(thm)],[2648, 2646])).
% 37.43/23.83 tff(2650,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2651,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1)),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2650, 2649])).
% 37.43/23.83 tff(2652,plain,
% 37.43/23.83 ((~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2651, 923, 2602])).
% 37.43/23.83 tff(2653,plain,
% 37.43/23.83 ((~v84(constB18, bitIndex1)) | v84(constB19, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2652, 2614])).
% 37.43/23.83 tff(2654,plain,
% 37.43/23.83 (v84(constB19, bitIndex1)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2653, 2645])).
% 37.43/23.83 tff(2655,plain,
% 37.43/23.83 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB17)) | (~v124(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB17)) | (~v124(constB17, bitIndex0)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2656,plain,
% 37.43/23.83 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB17)) | (~v124(constB17, bitIndex0)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2657,plain,
% 37.43/23.83 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB17)) | (~v124(constB17, bitIndex0))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 37.43/23.83 tff(2658,plain,
% 37.43/23.83 (~v124(constB17, bitIndex0)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2657, 1554, 2494])).
% 37.43/23.83 tff(2659,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2660,plain,
% 37.43/23.83 ((v26(constB17) | v124(constB17, bitIndex0) | (~v121(constB17, bitIndex0))) <=> ((~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2661,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB17) | v124(constB17, bitIndex0) | (~v121(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0)))),
% 37.43/23.83 inference(monotonicity,[status(thm)],[2660])).
% 37.43/23.83 tff(2662,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB17) | v124(constB17, bitIndex0) | (~v121(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0))),
% 37.43/23.83 inference(transitivity,[status(thm)],[2661, 2659])).
% 37.43/23.83 tff(2663,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB17) | v124(constB17, bitIndex0) | (~v121(constB17, bitIndex0)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2664,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB17, bitIndex0)) | v26(constB17) | v124(constB17, bitIndex0)),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2663, 2662])).
% 37.43/23.83 tff(2665,plain,
% 37.43/23.83 ((~v121(constB17, bitIndex0)) | v124(constB17, bitIndex0)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2664, 650, 2522])).
% 37.43/23.83 tff(2666,plain,
% 37.43/23.83 (~v121(constB17, bitIndex0)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2665, 2658])).
% 37.43/23.83 tff(2667,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2668,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2669,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 37.43/23.83 tff(2670,plain,
% 37.43/23.83 (v121(constB17, bitIndex0) | (~v123(constB18, bitIndex0))),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2669, 668, 2537])).
% 37.43/23.83 tff(2671,plain,
% 37.43/23.83 (~v123(constB18, bitIndex0)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2670, 2666])).
% 37.43/23.83 tff(2672,plain,
% 37.43/23.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2673,plain,
% 37.43/23.83 (((~v84(constB18, bitIndex0)) | (~v94(constB18)) | v123(constB18, bitIndex0)) <=> ((~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2674,plain,
% 37.43/23.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~v94(constB18)) | v123(constB18, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18))))),
% 37.43/23.83 inference(monotonicity,[status(thm)],[2673])).
% 37.43/23.83 tff(2675,plain,
% 37.43/23.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~v94(constB18)) | v123(constB18, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18)))),
% 37.43/23.83 inference(transitivity,[status(thm)],[2674, 2672])).
% 37.43/23.83 tff(2676,plain,
% 37.43/23.83 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~v94(constB18)) | v123(constB18, bitIndex0))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2677,plain,
% 37.43/23.83 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | v123(constB18, bitIndex0) | (~v94(constB18))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 37.43/23.83 tff(2678,plain,
% 37.43/23.83 ((~v84(constB18, bitIndex0)) | (~v94(constB18))),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2677, 683, 2671])).
% 37.43/23.83 tff(2679,plain,
% 37.43/23.83 (~v84(constB18, bitIndex0)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2678, 2571])).
% 37.43/23.83 tff(2680,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2681,plain,
% 37.43/23.83 (((~nextState(constB18, constB19)) | v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0))) <=> (v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2682,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0))))),
% 37.43/23.83 inference(monotonicity,[status(thm)],[2681])).
% 37.43/23.83 tff(2683,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0)))),
% 37.43/23.83 inference(transitivity,[status(thm)],[2682, 2680])).
% 37.43/23.83 tff(2684,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2685,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex0))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 37.43/23.83 tff(2686,plain,
% 37.43/23.83 (v84(constB18, bitIndex0) | v94(constB19) | (~v84(constB19, bitIndex0))),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2685, 249, 2602])).
% 37.43/23.83 tff(2687,plain,
% 37.43/23.83 (v84(constB18, bitIndex0) | (~v84(constB19, bitIndex0))),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2686, 2614])).
% 37.43/23.83 tff(2688,plain,
% 37.43/23.83 (~v84(constB19, bitIndex0)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2687, 2679])).
% 37.43/23.83 tff(2689,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB19, bitIndex0) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v115(constB19))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB19, bitIndex0) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v115(constB19))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2690,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB19, bitIndex0) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v115(constB19))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2691,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB19, bitIndex0) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v115(constB19)),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 37.43/23.83 tff(2692,plain,
% 37.43/23.83 (v115(constB19)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2691, 1598, 2688, 2654, 2623])).
% 37.43/23.83 tff(2693,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB19) | (~v115(constB19)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2694,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB19) | (~v115(constB19)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2695,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB19) | (~v115(constB19))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 37.43/23.83 tff(2696,plain,
% 37.43/23.83 (v111(constB19)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2695, 1609, 2692])).
% 37.43/23.83 tff(2697,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB19) | (~v111(constB19)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB19) | (~v111(constB19)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2698,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB19) | (~v111(constB19)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2699,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB19) | (~v111(constB19))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2698, 2697])).
% 37.43/23.83 tff(2700,plain,
% 37.43/23.83 (v110(constB19)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2699, 303, 2696])).
% 37.43/23.83 tff(2701,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB19) | (~v110(constB19)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB19) | (~v110(constB19)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2702,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB19) | (~v110(constB19)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2703,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB19) | (~v110(constB19))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 37.43/23.83 tff(2704,plain,
% 37.43/23.83 (v109(constB19)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2703, 314, 2700])).
% 37.43/23.83 tff(2705,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB19) | (~v109(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB19) | (~v109(constB19)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2706,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB19) | (~v109(constB19)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2707,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB19) | (~v109(constB19))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 37.43/23.83 tff(2708,plain,
% 37.43/23.83 (v108(constB19)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2707, 325, 2704])).
% 37.43/23.83 tff(2709,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB19) | (~v108(constB19)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB19) | (~v108(constB19)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2710,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB19) | (~v108(constB19)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2711,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB19) | (~v108(constB19))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2710, 2709])).
% 37.43/23.83 tff(2712,plain,
% 37.43/23.83 (v107(constB19)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2711, 336, 2708])).
% 37.43/23.83 tff(2713,assumption,(v26(constB18)), introduced(assumption)).
% 37.43/23.83 tff(2714,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB18))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2715,plain,
% 37.43/23.83 ($false),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2714, 120, 2713])).
% 37.43/23.83 tff(2716,plain,(~v26(constB18)), inference(lemma,lemma(discharge,[]))).
% 37.43/23.83 tff(2717,plain,
% 37.43/23.83 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 37.43/23.83 inference(bind,[status(th)],[])).
% 37.43/23.83 tff(2718,plain,
% 37.43/23.83 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 37.43/23.83 inference(quant_intro,[status(thm)],[2717])).
% 37.43/23.83 tff(2719,plain,
% 37.43/23.83 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2720,plain,
% 37.43/23.83 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 37.43/23.83 inference(bind,[status(th)],[])).
% 37.43/23.83 tff(2721,plain,
% 37.43/23.83 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 37.43/23.83 inference(quant_intro,[status(thm)],[2720])).
% 37.43/23.83 tff(2722,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 37.43/23.83 tff(2723,plain,
% 37.43/23.83 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 37.43/23.83 tff(2724,plain,
% 37.43/23.83 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2723, 2719])).
% 37.43/23.83 tff(2725,plain,(
% 37.43/23.83 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 37.43/23.83 inference(skolemize,[status(sab)],[2724])).
% 37.43/23.83 tff(2726,plain,
% 37.43/23.83 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2725, 2718])).
% 37.43/23.83 tff(2727,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2728,plain,
% 37.43/23.83 ((v26(constB18) | (~nextState(constB18, constB19)) | (~v66(constB19))) <=> ((~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2729,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB18) | (~nextState(constB18, constB19)) | (~v66(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19))))),
% 37.43/23.83 inference(monotonicity,[status(thm)],[2728])).
% 37.43/23.83 tff(2730,plain,
% 37.43/23.83 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB18) | (~nextState(constB18, constB19)) | (~v66(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19)))),
% 37.43/23.83 inference(transitivity,[status(thm)],[2729, 2727])).
% 37.43/23.83 tff(2731,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB18) | (~nextState(constB18, constB19)) | (~v66(constB19)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2732,plain,
% 37.43/23.83 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2731, 2730])).
% 37.43/23.83 tff(2733,plain,
% 37.43/23.83 (v26(constB18) | (~v66(constB19))),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2732, 2726, 2602])).
% 37.43/23.83 tff(2734,plain,
% 37.43/23.83 (~v66(constB19)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2733, 2716])).
% 37.43/23.83 tff(2735,assumption,(v18(constB20)), introduced(assumption)).
% 37.43/23.83 tff(2736,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB20))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2737,plain,
% 37.43/23.83 ($false),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2736, 8, 2735])).
% 37.43/23.83 tff(2738,plain,(~v18(constB20)), inference(lemma,lemma(discharge,[]))).
% 37.43/23.83 tff(2739,plain,
% 37.43/23.83 (v1(constB20) <=> v1(constB20)),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2740,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 37.43/23.83 tff(2741,plain,
% 37.43/23.83 (v1(constB20)),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 37.43/23.83 tff(2742,plain,
% 37.43/23.83 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20)))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2743,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))),
% 37.43/23.83 inference(quant_inst,[status(thm)],[])).
% 37.43/23.83 tff(2744,plain,
% 37.43/23.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20))),
% 37.43/23.83 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 37.43/23.83 tff(2745,plain,
% 37.43/23.83 (v22(constB20)),
% 37.43/23.83 inference(unit_resolution,[status(thm)],[2744, 21, 2741])).
% 37.43/23.83 tff(2746,plain,
% 37.43/23.83 (((~![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))),
% 37.43/23.83 inference(rewrite,[status(thm)],[])).
% 37.43/23.83 tff(2747,plain,
% 37.43/23.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB20)) | (~v22(constB20)) | v18(constB20))),
% 37.43/23.84 inference(quant_inst,[status(thm)],[])).
% 37.43/23.84 tff(2748,plain,
% 37.43/23.84 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB20)) | (~v22(constB20)) | v18(constB20)),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2747, 2746])).
% 37.43/23.84 tff(2749,plain,
% 37.43/23.84 ((~v19(constB20)) | v18(constB20)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2748, 35, 2745])).
% 37.43/23.84 tff(2750,plain,
% 37.43/23.84 (~v19(constB20)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2749, 2738])).
% 37.43/23.84 tff(2751,plain,
% 37.43/23.84 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2752,plain,
% 37.43/23.84 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))),
% 37.43/23.84 inference(quant_inst,[status(thm)],[])).
% 37.43/23.84 tff(2753,plain,
% 37.43/23.84 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20)),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 37.43/23.84 tff(2754,plain,
% 37.43/23.84 (v13(constB20)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2753, 50, 2750])).
% 37.43/23.84 tff(2755,plain,
% 37.43/23.84 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2756,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 37.43/23.84 tff(2757,plain,
% 37.43/23.84 (nextState(constB19, constB20)),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 37.43/23.84 tff(2758,plain,
% 37.43/23.84 (((~![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))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2759,plain,
% 37.43/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19))),
% 37.43/23.84 inference(quant_inst,[status(thm)],[])).
% 37.43/23.84 tff(2760,plain,
% 37.43/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19)),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2759, 2758])).
% 37.43/23.84 tff(2761,plain,
% 37.43/23.84 ((~v13(constB20)) | v9(constB19)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2760, 67, 2757])).
% 37.43/23.84 tff(2762,plain,
% 37.43/23.84 (v9(constB19)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2761, 2754])).
% 37.43/23.84 tff(2763,plain,
% 37.43/23.84 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2764,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2763])).
% 37.43/23.84 tff(2765,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2766,plain,
% 37.43/23.84 (^[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))))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2767,plain,
% 37.43/23.84 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2766])).
% 37.43/23.84 tff(2768,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 37.43/23.84 tff(2769,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 37.43/23.84 tff(2770,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2769, 2765])).
% 37.43/23.84 tff(2771,plain,(
% 37.43/23.84 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 37.43/23.84 inference(skolemize,[status(sab)],[2770])).
% 37.43/23.84 tff(2772,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2771, 2764])).
% 37.43/23.84 tff(2773,plain,
% 37.43/23.84 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | v64(constB19) | (~v9(constB19)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB19) | v64(constB19) | (~v9(constB19)))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2774,plain,
% 37.43/23.84 ((v1(constB19) | (~v9(constB19)) | v64(constB19)) <=> (v1(constB19) | v64(constB19) | (~v9(constB19)))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2775,plain,
% 37.43/23.84 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v64(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | v64(constB19) | (~v9(constB19))))),
% 37.43/23.84 inference(monotonicity,[status(thm)],[2774])).
% 37.43/23.84 tff(2776,plain,
% 37.43/23.84 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v64(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB19) | v64(constB19) | (~v9(constB19)))),
% 37.43/23.84 inference(transitivity,[status(thm)],[2775, 2773])).
% 37.43/23.84 tff(2777,plain,
% 37.43/23.84 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v64(constB19))),
% 37.43/23.84 inference(quant_inst,[status(thm)],[])).
% 37.43/23.84 tff(2778,plain,
% 37.43/23.84 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB19) | v64(constB19) | (~v9(constB19))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 37.43/23.84 tff(2779,plain,
% 37.43/23.84 (v64(constB19) | (~v9(constB19))),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2778, 2772, 2599])).
% 37.43/23.84 tff(2780,plain,
% 37.43/23.84 (v64(constB19)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2779, 2762])).
% 37.43/23.84 tff(2781,plain,
% 37.43/23.84 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2782,plain,
% 37.43/23.84 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2781])).
% 37.43/23.84 tff(2783,plain,
% 37.43/23.84 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2784,plain,
% 37.43/23.84 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2785,plain,
% 37.43/23.84 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2784])).
% 37.43/23.84 tff(2786,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 37.43/23.84 tff(2787,plain,
% 37.43/23.84 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2786, 2785])).
% 37.43/23.84 tff(2788,plain,
% 37.43/23.84 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2787, 2783])).
% 37.43/23.84 tff(2789,plain,(
% 37.43/23.84 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 37.43/23.84 inference(skolemize,[status(sab)],[2788])).
% 37.43/23.84 tff(2790,plain,
% 37.43/23.84 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2789, 2782])).
% 37.43/23.84 tff(2791,plain,
% 37.43/23.84 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB19)) | v66(constB19) | (~v64(constB19)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB19)) | v66(constB19) | (~v64(constB19)))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2792,plain,
% 37.43/23.84 (((~v64(constB19)) | (~v60(constB19)) | v66(constB19)) <=> ((~v60(constB19)) | v66(constB19) | (~v64(constB19)))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2793,plain,
% 37.43/23.84 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB19)) | (~v60(constB19)) | v66(constB19))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB19)) | v66(constB19) | (~v64(constB19))))),
% 37.43/23.84 inference(monotonicity,[status(thm)],[2792])).
% 37.43/23.84 tff(2794,plain,
% 37.43/23.84 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB19)) | (~v60(constB19)) | v66(constB19))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB19)) | v66(constB19) | (~v64(constB19)))),
% 37.43/23.84 inference(transitivity,[status(thm)],[2793, 2791])).
% 37.43/23.84 tff(2795,plain,
% 37.43/23.84 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB19)) | (~v60(constB19)) | v66(constB19))),
% 37.43/23.84 inference(quant_inst,[status(thm)],[])).
% 37.43/23.84 tff(2796,plain,
% 37.43/23.84 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB19)) | v66(constB19) | (~v64(constB19))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 37.43/23.84 tff(2797,plain,
% 37.43/23.84 ((~v60(constB19)) | v66(constB19)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2796, 2790, 2780])).
% 37.43/23.84 tff(2798,plain,
% 37.43/23.84 (~v60(constB19)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2797, 2734])).
% 37.43/23.84 tff(2799,plain,
% 37.43/23.84 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2800,plain,
% 37.43/23.84 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2799])).
% 37.43/23.84 tff(2801,plain,
% 37.43/23.84 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2802,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 37.43/23.84 tff(2803,plain,
% 37.43/23.84 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2802, 2801])).
% 37.43/23.84 tff(2804,plain,(
% 37.43/23.84 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 37.43/23.84 inference(skolemize,[status(sab)],[2803])).
% 37.43/23.84 tff(2805,plain,
% 37.43/23.84 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2804, 2800])).
% 37.43/23.84 tff(2806,plain,
% 37.43/23.84 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB19) | (~v9(constB19)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB19) | (~v9(constB19)))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2807,plain,
% 37.43/23.84 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB19) | (~v9(constB19)))),
% 37.43/23.84 inference(quant_inst,[status(thm)],[])).
% 37.43/23.84 tff(2808,plain,
% 37.43/23.84 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB19) | (~v9(constB19))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2807, 2806])).
% 37.43/23.84 tff(2809,plain,
% 37.43/23.84 (v80(constB19)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2808, 2805, 2762])).
% 37.43/23.84 tff(2810,plain,
% 37.43/23.84 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2811,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2810])).
% 37.43/23.84 tff(2812,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2813,plain,
% 37.43/23.84 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2814,plain,
% 37.43/23.84 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2813])).
% 37.43/23.84 tff(2815,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 37.43/23.84 tff(2816,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2815, 2814])).
% 37.43/23.84 tff(2817,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2816, 2812])).
% 37.43/23.84 tff(2818,plain,(
% 37.43/23.84 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 37.43/23.84 inference(skolemize,[status(sab)],[2817])).
% 37.43/23.84 tff(2819,plain,
% 37.43/23.84 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2818, 2811])).
% 37.43/23.84 tff(2820,plain,
% 37.43/23.84 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB19) | v78(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB19) | v78(constB19))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2821,plain,
% 37.43/23.84 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB19) | v78(constB19))),
% 37.43/23.84 inference(quant_inst,[status(thm)],[])).
% 37.43/23.84 tff(2822,plain,
% 37.43/23.84 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB19) | v78(constB19)),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 37.43/23.84 tff(2823,plain,
% 37.43/23.84 (v78(constB19)),
% 37.43/23.84 inference(unit_resolution,[status(thm)],[2822, 2819, 2599])).
% 37.43/23.84 tff(2824,plain,
% 37.43/23.84 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2825,plain,
% 37.43/23.84 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2824])).
% 37.43/23.84 tff(2826,plain,
% 37.43/23.84 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2827,plain,
% 37.43/23.84 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 37.43/23.84 inference(bind,[status(th)],[])).
% 37.43/23.84 tff(2828,plain,
% 37.43/23.84 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 37.43/23.84 inference(quant_intro,[status(thm)],[2827])).
% 37.43/23.84 tff(2829,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 37.43/23.84 tff(2830,plain,
% 37.43/23.84 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2829, 2828])).
% 37.43/23.84 tff(2831,plain,
% 37.43/23.84 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2830, 2826])).
% 37.43/23.84 tff(2832,plain,(
% 37.43/23.84 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 37.43/23.84 inference(skolemize,[status(sab)],[2831])).
% 37.43/23.84 tff(2833,plain,
% 37.43/23.84 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2832, 2825])).
% 37.43/23.84 tff(2834,plain,
% 37.43/23.84 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB19)) | (~v80(constB19)) | v76(constB19))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB19)) | (~v80(constB19)) | v76(constB19))),
% 37.43/23.84 inference(rewrite,[status(thm)],[])).
% 37.43/23.84 tff(2835,plain,
% 37.43/23.84 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB19)) | (~v80(constB19)) | v76(constB19))),
% 37.43/23.84 inference(quant_inst,[status(thm)],[])).
% 37.43/23.84 tff(2836,plain,
% 37.43/23.84 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB19)) | (~v80(constB19)) | v76(constB19)),
% 37.43/23.84 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 37.43/23.84 tff(2837,plain,
% 37.43/23.84 ((~v80(constB19)) | v76(constB19)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2836, 2833, 2823])).
% 37.46/23.84 tff(2838,plain,
% 37.46/23.84 (v76(constB19)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2837, 2809])).
% 37.46/23.84 tff(2839,assumption,(v71(constB19)), introduced(assumption)).
% 37.46/23.84 tff(2840,plain,
% 37.46/23.84 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 37.46/23.84 inference(bind,[status(th)],[])).
% 37.46/23.84 tff(2841,plain,
% 37.46/23.84 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 37.46/23.84 inference(quant_intro,[status(thm)],[2840])).
% 37.46/23.84 tff(2842,plain,
% 37.46/23.84 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2843,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 37.46/23.84 tff(2844,plain,
% 37.46/23.84 (![VarCurr: $i] : (~v71(VarCurr))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 37.46/23.84 tff(2845,plain,(
% 37.46/23.84 ![VarCurr: $i] : (~v71(VarCurr))),
% 37.46/23.84 inference(skolemize,[status(sab)],[2844])).
% 37.46/23.84 tff(2846,plain,
% 37.46/23.84 (![VarCurr: $i] : (~v71(VarCurr))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2845, 2841])).
% 37.46/23.84 tff(2847,plain,
% 37.46/23.84 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB19))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2848,plain,
% 37.46/23.84 ($false),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2847, 2846, 2839])).
% 37.46/23.84 tff(2849,plain,(~v71(constB19)), inference(lemma,lemma(discharge,[]))).
% 37.46/23.84 tff(2850,plain,
% 37.46/23.84 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 37.46/23.84 inference(bind,[status(th)],[])).
% 37.46/23.84 tff(2851,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 37.46/23.84 inference(quant_intro,[status(thm)],[2850])).
% 37.46/23.84 tff(2852,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2853,plain,
% 37.46/23.84 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 37.46/23.84 inference(bind,[status(th)],[])).
% 37.46/23.84 tff(2854,plain,
% 37.46/23.84 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 37.46/23.84 inference(quant_intro,[status(thm)],[2853])).
% 37.46/23.84 tff(2855,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 37.46/23.84 tff(2856,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2855, 2854])).
% 37.46/23.84 tff(2857,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2856, 2852])).
% 37.46/23.84 tff(2858,plain,(
% 37.46/23.84 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 37.46/23.84 inference(skolemize,[status(sab)],[2857])).
% 37.46/23.84 tff(2859,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2858, 2851])).
% 37.46/23.84 tff(2860,plain,
% 37.46/23.84 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB19)) | (~v76(constB19)) | v71(constB19))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB19)) | (~v76(constB19)) | v71(constB19))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2861,plain,
% 37.46/23.84 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB19)) | (~v76(constB19)) | v71(constB19))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2862,plain,
% 37.46/23.84 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB19)) | (~v76(constB19)) | v71(constB19)),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 37.46/23.84 tff(2863,plain,
% 37.46/23.84 ((~v72(constB19)) | (~v76(constB19))),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2862, 2859, 2849])).
% 37.46/23.84 tff(2864,plain,
% 37.46/23.84 (~v72(constB19)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2863, 2838])).
% 37.46/23.84 tff(2865,plain,
% 37.46/23.84 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 37.46/23.84 inference(bind,[status(th)],[])).
% 37.46/23.84 tff(2866,plain,
% 37.46/23.84 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 37.46/23.84 inference(quant_intro,[status(thm)],[2865])).
% 37.46/23.84 tff(2867,plain,
% 37.46/23.84 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2868,plain,
% 37.46/23.84 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 37.46/23.84 inference(bind,[status(th)],[])).
% 37.46/23.84 tff(2869,plain,
% 37.46/23.84 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 37.46/23.84 inference(quant_intro,[status(thm)],[2868])).
% 37.46/23.84 tff(2870,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 37.46/23.84 tff(2871,plain,
% 37.46/23.84 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 37.46/23.84 tff(2872,plain,
% 37.46/23.84 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2871, 2867])).
% 37.46/23.84 tff(2873,plain,(
% 37.46/23.84 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 37.46/23.84 inference(skolemize,[status(sab)],[2872])).
% 37.46/23.84 tff(2874,plain,
% 37.46/23.84 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2873, 2866])).
% 37.46/23.84 tff(2875,plain,
% 37.46/23.84 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB19) | v72(constB19) | v74(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB19) | v72(constB19) | v74(constB19))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2876,plain,
% 37.46/23.84 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB19) | v72(constB19) | v74(constB19))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2877,plain,
% 37.46/23.84 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB19) | v72(constB19) | v74(constB19)),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 37.46/23.84 tff(2878,plain,
% 37.46/23.84 (v72(constB19) | v74(constB19)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2877, 2874, 2599])).
% 37.46/23.84 tff(2879,plain,
% 37.46/23.84 (v74(constB19)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2878, 2864])).
% 37.46/23.84 tff(2880,plain,
% 37.46/23.84 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 37.46/23.84 inference(bind,[status(th)],[])).
% 37.46/23.84 tff(2881,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 37.46/23.84 inference(quant_intro,[status(thm)],[2880])).
% 37.46/23.84 tff(2882,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2883,plain,
% 37.46/23.84 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 37.46/23.84 inference(bind,[status(th)],[])).
% 37.46/23.84 tff(2884,plain,
% 37.46/23.84 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 37.46/23.84 inference(quant_intro,[status(thm)],[2883])).
% 37.46/23.84 tff(2885,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_2')).
% 37.46/23.84 tff(2886,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 37.46/23.84 tff(2887,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2886, 2882])).
% 37.46/23.84 tff(2888,plain,(
% 37.46/23.84 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 37.46/23.84 inference(skolemize,[status(sab)],[2887])).
% 37.46/23.84 tff(2889,plain,
% 37.46/23.84 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2888, 2881])).
% 37.46/23.84 tff(2890,plain,
% 37.46/23.84 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB19) | (~v26(constB19)) | (~v74(constB19)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB19) | (~v26(constB19)) | (~v74(constB19)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2891,plain,
% 37.46/23.84 (((~v26(constB19)) | v60(constB19) | (~v74(constB19))) <=> (v60(constB19) | (~v26(constB19)) | (~v74(constB19)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2892,plain,
% 37.46/23.84 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB19)) | v60(constB19) | (~v74(constB19)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB19) | (~v26(constB19)) | (~v74(constB19))))),
% 37.46/23.84 inference(monotonicity,[status(thm)],[2891])).
% 37.46/23.84 tff(2893,plain,
% 37.46/23.84 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB19)) | v60(constB19) | (~v74(constB19)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB19) | (~v26(constB19)) | (~v74(constB19)))),
% 37.46/23.84 inference(transitivity,[status(thm)],[2892, 2890])).
% 37.46/23.84 tff(2894,plain,
% 37.46/23.84 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB19)) | v60(constB19) | (~v74(constB19)))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2895,plain,
% 37.46/23.84 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB19) | (~v26(constB19)) | (~v74(constB19))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 37.46/23.84 tff(2896,plain,
% 37.46/23.84 (v60(constB19) | (~v26(constB19))),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2895, 2889, 2879])).
% 37.46/23.84 tff(2897,plain,
% 37.46/23.84 (~v26(constB19)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2896, 2798])).
% 37.46/23.84 tff(2898,plain,
% 37.46/23.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | v106(constB19) | (~v107(constB19)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | v106(constB19) | (~v107(constB19)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2899,plain,
% 37.46/23.84 ((v26(constB19) | (~v107(constB19)) | v106(constB19)) <=> (v26(constB19) | v106(constB19) | (~v107(constB19)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2900,plain,
% 37.46/23.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | v106(constB19) | (~v107(constB19))))),
% 37.46/23.84 inference(monotonicity,[status(thm)],[2899])).
% 37.46/23.84 tff(2901,plain,
% 37.46/23.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | v106(constB19) | (~v107(constB19)))),
% 37.46/23.84 inference(transitivity,[status(thm)],[2900, 2898])).
% 37.46/23.84 tff(2902,plain,
% 37.46/23.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2903,plain,
% 37.46/23.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | v106(constB19) | (~v107(constB19))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 37.46/23.84 tff(2904,plain,
% 37.46/23.84 (v106(constB19) | (~v107(constB19))),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2903, 350, 2897])).
% 37.46/23.84 tff(2905,plain,
% 37.46/23.84 (v106(constB19)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2904, 2712])).
% 37.46/23.84 tff(2906,plain,
% 37.46/23.84 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB19) | (~v106(constB19)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB19) | (~v106(constB19)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2907,plain,
% 37.46/23.84 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB19) | (~v106(constB19)))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2908,plain,
% 37.46/23.84 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB19) | (~v106(constB19))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 37.46/23.84 tff(2909,plain,
% 37.46/23.84 (v102(constB19)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2908, 362, 2905])).
% 37.46/23.84 tff(2910,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2911,plain,
% 37.46/23.84 (((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20)) <=> ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2912,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19))))),
% 37.46/23.84 inference(monotonicity,[status(thm)],[2911])).
% 37.46/23.84 tff(2913,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 37.46/23.84 inference(transitivity,[status(thm)],[2912, 2910])).
% 37.46/23.84 tff(2914,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2915,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 37.46/23.84 tff(2916,plain,
% 37.46/23.84 (v104(constB20) | (~v102(constB19))),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2915, 379, 2757])).
% 37.46/23.84 tff(2917,plain,
% 37.46/23.84 (v104(constB20)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2916, 2909])).
% 37.46/23.84 tff(2918,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2919,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2920,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2919, 2918])).
% 37.46/23.84 tff(2921,plain,
% 37.46/23.84 (~v98(constB20)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2920, 397, 2757, 2599])).
% 37.46/23.84 tff(2922,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2923,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2924,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB19, constB20)) | v96(constB20) | v98(constB20)),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 37.46/23.84 tff(2925,plain,
% 37.46/23.84 (v96(constB20) | v98(constB20)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2924, 411, 2757])).
% 37.46/23.84 tff(2926,plain,
% 37.46/23.84 (v96(constB20)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2925, 2921])).
% 37.46/23.84 tff(2927,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2928,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2929,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20))),
% 37.46/23.84 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 37.46/23.84 tff(2930,plain,
% 37.46/23.84 (v95(constB20) | (~v96(constB20))),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2929, 429, 2757, 2741])).
% 37.46/23.84 tff(2931,plain,
% 37.46/23.84 (v95(constB20)),
% 37.46/23.84 inference(unit_resolution,[status(thm)],[2930, 2926])).
% 37.46/23.84 tff(2932,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2933,plain,
% 37.46/23.84 (((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20)) <=> ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 37.46/23.84 inference(rewrite,[status(thm)],[])).
% 37.46/23.84 tff(2934,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20))))),
% 37.46/23.84 inference(monotonicity,[status(thm)],[2933])).
% 37.46/23.84 tff(2935,plain,
% 37.46/23.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 37.46/23.84 inference(transitivity,[status(thm)],[2934, 2932])).
% 37.46/23.84 tff(2936,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))),
% 37.46/23.84 inference(quant_inst,[status(thm)],[])).
% 37.46/23.84 tff(2937,plain,
% 37.46/23.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20))),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 37.46/23.85 tff(2938,plain,
% 37.46/23.85 (v94(constB20) | (~v95(constB20)) | (~v104(constB20))),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2937, 444, 2757])).
% 37.46/23.85 tff(2939,plain,
% 37.46/23.85 (v94(constB20) | (~v104(constB20))),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2938, 2931])).
% 37.46/23.85 tff(2940,plain,
% 37.46/23.85 (v94(constB20)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2939, 2917])).
% 37.46/23.85 tff(2941,plain,
% 37.46/23.85 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB19)) | (~v124(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB19)) | (~v124(constB19, bitIndex2)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2942,plain,
% 37.46/23.85 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB19)) | (~v124(constB19, bitIndex2)))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2943,plain,
% 37.46/23.85 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB19)) | (~v124(constB19, bitIndex2))),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 37.46/23.85 tff(2944,plain,
% 37.46/23.85 (~v124(constB19, bitIndex2)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2943, 1688, 2692])).
% 37.46/23.85 tff(2945,plain,
% 37.46/23.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2946,plain,
% 37.46/23.85 ((v26(constB19) | v124(constB19, bitIndex2) | (~v121(constB19, bitIndex2))) <=> ((~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2947,plain,
% 37.46/23.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB19) | v124(constB19, bitIndex2) | (~v121(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2)))),
% 37.46/23.85 inference(monotonicity,[status(thm)],[2946])).
% 37.46/23.85 tff(2948,plain,
% 37.46/23.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB19) | v124(constB19, bitIndex2) | (~v121(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2))),
% 37.46/23.85 inference(transitivity,[status(thm)],[2947, 2945])).
% 37.46/23.85 tff(2949,plain,
% 37.46/23.85 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB19) | v124(constB19, bitIndex2) | (~v121(constB19, bitIndex2)))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2950,plain,
% 37.46/23.85 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB19, bitIndex2)) | v26(constB19) | v124(constB19, bitIndex2)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2949, 2948])).
% 37.46/23.85 tff(2951,plain,
% 37.46/23.85 ((~v121(constB19, bitIndex2)) | v124(constB19, bitIndex2)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2950, 1147, 2897])).
% 37.46/23.85 tff(2952,plain,
% 37.46/23.85 (~v121(constB19, bitIndex2)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2951, 2944])).
% 37.46/23.85 tff(2953,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2954,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2)))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2955,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2))),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 37.46/23.85 tff(2956,plain,
% 37.46/23.85 (v121(constB19, bitIndex2) | (~v123(constB20, bitIndex2))),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2955, 1165, 2757])).
% 37.46/23.85 tff(2957,plain,
% 37.46/23.85 (~v123(constB20, bitIndex2)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2956, 2952])).
% 37.46/23.85 tff(2958,plain,
% 37.46/23.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2959,plain,
% 37.46/23.85 (((~v84(constB20, bitIndex2)) | (~v94(constB20)) | v123(constB20, bitIndex2)) <=> ((~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2960,plain,
% 37.46/23.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | (~v94(constB20)) | v123(constB20, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20))))),
% 37.46/23.85 inference(monotonicity,[status(thm)],[2959])).
% 37.46/23.85 tff(2961,plain,
% 37.46/23.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | (~v94(constB20)) | v123(constB20, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20)))),
% 37.46/23.85 inference(transitivity,[status(thm)],[2960, 2958])).
% 37.46/23.85 tff(2962,plain,
% 37.46/23.85 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | (~v94(constB20)) | v123(constB20, bitIndex2))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2963,plain,
% 37.46/23.85 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | v123(constB20, bitIndex2) | (~v94(constB20))),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 37.46/23.85 tff(2964,plain,
% 37.46/23.85 ((~v84(constB20, bitIndex2)) | (~v94(constB20))),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2963, 1180, 2957])).
% 37.46/23.85 tff(2965,plain,
% 37.46/23.85 (~v84(constB20, bitIndex2)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2964, 2940])).
% 37.46/23.85 tff(2966,plain,
% 37.46/23.85 ((~v1(constB21)) <=> (~v1(constB21))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2967,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 37.46/23.85 tff(2968,plain,
% 37.46/23.85 (~v1(constB21)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 37.46/23.85 tff(2969,plain,
% 37.46/23.85 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2970,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 37.46/23.85 tff(2971,plain,
% 37.46/23.85 (nextState(constB20, constB21)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2970, 2969])).
% 37.46/23.85 tff(2972,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2973,plain,
% 37.46/23.85 (((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2974,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21))))),
% 37.46/23.85 inference(monotonicity,[status(thm)],[2973])).
% 37.46/23.85 tff(2975,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 37.46/23.85 inference(transitivity,[status(thm)],[2974, 2972])).
% 37.46/23.85 tff(2976,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2977,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21))),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2976, 2975])).
% 37.46/23.85 tff(2978,plain,
% 37.46/23.85 (~v95(constB21)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2977, 175, 2971, 2968])).
% 37.46/23.85 tff(2979,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2980,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2981,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21))),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 37.46/23.85 tff(2982,plain,
% 37.46/23.85 (v95(constB21) | (~v94(constB21))),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2981, 192, 2971])).
% 37.46/23.85 tff(2983,plain,
% 37.46/23.85 (~v94(constB21)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2982, 2978])).
% 37.46/23.85 tff(2984,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2985,plain,
% 37.46/23.85 (((~nextState(constB20, constB21)) | v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2))) <=> (v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2986,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2))))),
% 37.46/23.85 inference(monotonicity,[status(thm)],[2985])).
% 37.46/23.85 tff(2987,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2)))),
% 37.46/23.85 inference(transitivity,[status(thm)],[2986, 2984])).
% 37.46/23.85 tff(2988,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2)))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2989,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex2))),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2988, 2987])).
% 37.46/23.85 tff(2990,plain,
% 37.46/23.85 (v84(constB20, bitIndex2) | v94(constB21) | (~v84(constB21, bitIndex2))),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2989, 207, 2971])).
% 37.46/23.85 tff(2991,plain,
% 37.46/23.85 (v84(constB20, bitIndex2) | (~v84(constB21, bitIndex2))),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2990, 2983])).
% 37.46/23.85 tff(2992,plain,
% 37.46/23.85 (~v84(constB21, bitIndex2)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2991, 2965])).
% 37.46/23.85 tff(2993,plain,
% 37.46/23.85 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB19)) | v124(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB19)) | v124(constB19, bitIndex1))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2994,plain,
% 37.46/23.85 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB19)) | v124(constB19, bitIndex1))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2995,plain,
% 37.46/23.85 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB19)) | v124(constB19, bitIndex1)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 37.46/23.85 tff(2996,plain,
% 37.46/23.85 (v124(constB19, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2995, 1750, 2692])).
% 37.46/23.85 tff(2997,plain,
% 37.46/23.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB19) | (~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB19) | (~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(2998,plain,
% 37.46/23.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB19) | (~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(2999,plain,
% 37.46/23.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB19) | (~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 37.46/23.85 tff(3000,plain,
% 37.46/23.85 ((~v124(constB19, bitIndex1)) | v121(constB19, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[2999, 875, 2897])).
% 37.46/23.85 tff(3001,plain,
% 37.46/23.85 (v121(constB19, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3000, 2996])).
% 37.46/23.85 tff(3002,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(3003,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(3004,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[3003, 3002])).
% 37.46/23.85 tff(3005,plain,
% 37.46/23.85 ((~v121(constB19, bitIndex1)) | v123(constB20, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3004, 890, 2757])).
% 37.46/23.85 tff(3006,plain,
% 37.46/23.85 (v123(constB20, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3005, 3001])).
% 37.46/23.85 tff(3007,plain,
% 37.46/23.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(3008,plain,
% 37.46/23.85 ((v84(constB20, bitIndex1) | (~v94(constB20)) | (~v123(constB20, bitIndex1))) <=> (v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20)))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(3009,plain,
% 37.46/23.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v94(constB20)) | (~v123(constB20, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20))))),
% 37.46/23.85 inference(monotonicity,[status(thm)],[3008])).
% 37.46/23.85 tff(3010,plain,
% 37.46/23.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v94(constB20)) | (~v123(constB20, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20)))),
% 37.46/23.85 inference(transitivity,[status(thm)],[3009, 3007])).
% 37.46/23.85 tff(3011,plain,
% 37.46/23.85 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~v94(constB20)) | (~v123(constB20, bitIndex1)))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(3012,plain,
% 37.46/23.85 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~v123(constB20, bitIndex1)) | (~v94(constB20))),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 37.46/23.85 tff(3013,plain,
% 37.46/23.85 (v84(constB20, bitIndex1) | (~v94(constB20))),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3012, 905, 3006])).
% 37.46/23.85 tff(3014,plain,
% 37.46/23.85 (v84(constB20, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3013, 2940])).
% 37.46/23.85 tff(3015,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(3016,plain,
% 37.46/23.85 (((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1)) <=> ((~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(3017,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1)))),
% 37.46/23.85 inference(monotonicity,[status(thm)],[3016])).
% 37.46/23.85 tff(3018,plain,
% 37.46/23.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1))),
% 37.46/23.85 inference(transitivity,[status(thm)],[3017, 3015])).
% 37.46/23.85 tff(3019,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(3020,plain,
% 37.46/23.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex1)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[3019, 3018])).
% 37.46/23.85 tff(3021,plain,
% 37.46/23.85 ((~v84(constB20, bitIndex1)) | v94(constB21) | v84(constB21, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3020, 923, 2971])).
% 37.46/23.85 tff(3022,plain,
% 37.46/23.85 ((~v84(constB20, bitIndex1)) | v84(constB21, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3021, 2983])).
% 37.46/23.85 tff(3023,plain,
% 37.46/23.85 (v84(constB21, bitIndex1)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3022, 3014])).
% 37.46/23.85 tff(3024,plain,
% 37.46/23.85 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB19)) | v124(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB19)) | v124(constB19, bitIndex0))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(3025,plain,
% 37.46/23.85 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB19)) | v124(constB19, bitIndex0))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(3026,plain,
% 37.46/23.85 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB19)) | v124(constB19, bitIndex0)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 37.46/23.85 tff(3027,plain,
% 37.46/23.85 (v124(constB19, bitIndex0)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3026, 1791, 2692])).
% 37.46/23.85 tff(3028,plain,
% 37.46/23.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB19) | (~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB19) | (~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0))),
% 37.46/23.85 inference(rewrite,[status(thm)],[])).
% 37.46/23.85 tff(3029,plain,
% 37.46/23.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB19) | (~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0))),
% 37.46/23.85 inference(quant_inst,[status(thm)],[])).
% 37.46/23.85 tff(3030,plain,
% 37.46/23.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB19) | (~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0)),
% 37.46/23.85 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 37.46/23.85 tff(3031,plain,
% 37.46/23.85 ((~v124(constB19, bitIndex0)) | v121(constB19, bitIndex0)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3030, 1289, 2897])).
% 37.46/23.85 tff(3032,plain,
% 37.46/23.85 (v121(constB19, bitIndex0)),
% 37.46/23.85 inference(unit_resolution,[status(thm)],[3031, 3027])).
% 37.46/23.85 tff(3033,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3034,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3035,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 37.46/23.86 tff(3036,plain,
% 37.46/23.86 ((~v121(constB19, bitIndex0)) | v123(constB20, bitIndex0)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3035, 1304, 2757])).
% 37.46/23.86 tff(3037,plain,
% 37.46/23.86 (v123(constB20, bitIndex0)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3036, 3032])).
% 37.46/23.86 tff(3038,plain,
% 37.46/23.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3039,plain,
% 37.46/23.86 ((v84(constB20, bitIndex0) | (~v94(constB20)) | (~v123(constB20, bitIndex0))) <=> (v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3040,plain,
% 37.46/23.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v94(constB20)) | (~v123(constB20, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20))))),
% 37.46/23.86 inference(monotonicity,[status(thm)],[3039])).
% 37.46/23.86 tff(3041,plain,
% 37.46/23.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v94(constB20)) | (~v123(constB20, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20)))),
% 37.46/23.86 inference(transitivity,[status(thm)],[3040, 3038])).
% 37.46/23.86 tff(3042,plain,
% 37.46/23.86 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~v94(constB20)) | (~v123(constB20, bitIndex0)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3043,plain,
% 37.46/23.86 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~v123(constB20, bitIndex0)) | (~v94(constB20))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 37.46/23.86 tff(3044,plain,
% 37.46/23.86 (v84(constB20, bitIndex0) | (~v94(constB20))),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3043, 1319, 3037])).
% 37.46/23.86 tff(3045,plain,
% 37.46/23.86 (v84(constB20, bitIndex0)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3044, 2940])).
% 37.46/23.86 tff(3046,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3047,plain,
% 37.46/23.86 (((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0)) <=> ((~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3048,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0)))),
% 37.46/23.86 inference(monotonicity,[status(thm)],[3047])).
% 37.46/23.86 tff(3049,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0))),
% 37.46/23.86 inference(transitivity,[status(thm)],[3048, 3046])).
% 37.46/23.86 tff(3050,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3051,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex0)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 37.46/23.86 tff(3052,plain,
% 37.46/23.86 ((~v84(constB20, bitIndex0)) | v94(constB21) | v84(constB21, bitIndex0)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3051, 1337, 2971])).
% 37.46/23.86 tff(3053,plain,
% 37.46/23.86 ((~v84(constB20, bitIndex0)) | v84(constB21, bitIndex0)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3052, 2983])).
% 37.46/23.86 tff(3054,plain,
% 37.46/23.86 (v84(constB21, bitIndex0)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3053, 3045])).
% 37.46/23.86 tff(3055,plain,
% 37.46/23.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB21, bitIndex0)) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v116(constB21))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB21, bitIndex0)) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v116(constB21))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3056,plain,
% 37.46/23.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB21, bitIndex0)) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v116(constB21))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3057,plain,
% 37.46/23.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB21, bitIndex0)) | (~v84(constB21, bitIndex1)) | v84(constB21, bitIndex2) | v116(constB21)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 37.46/23.86 tff(3058,plain,
% 37.46/23.86 (v116(constB21)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3057, 1832, 3054, 3023, 2992])).
% 37.46/23.86 tff(3059,plain,
% 37.46/23.86 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB21) | (~v116(constB21)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3060,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB21) | (~v116(constB21)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3061,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB21) | (~v116(constB21))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3060, 3059])).
% 37.46/23.86 tff(3062,plain,
% 37.46/23.86 (v110(constB21)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3061, 1843, 3058])).
% 37.46/23.86 tff(3063,plain,
% 37.46/23.86 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB21) | (~v110(constB21)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB21) | (~v110(constB21)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3064,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB21) | (~v110(constB21)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3065,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB21) | (~v110(constB21))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 37.46/23.86 tff(3066,plain,
% 37.46/23.86 (v109(constB21)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3065, 314, 3062])).
% 37.46/23.86 tff(3067,plain,
% 37.46/23.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB21) | (~v109(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB21) | (~v109(constB21)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3068,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB21) | (~v109(constB21)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3069,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB21) | (~v109(constB21))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 37.46/23.86 tff(3070,plain,
% 37.46/23.86 (v108(constB21)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3069, 325, 3066])).
% 37.46/23.86 tff(3071,plain,
% 37.46/23.86 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB21) | (~v108(constB21)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB21) | (~v108(constB21)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3072,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB21) | (~v108(constB21)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3073,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB21) | (~v108(constB21))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3072, 3071])).
% 37.46/23.86 tff(3074,plain,
% 37.46/23.86 (v107(constB21)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3073, 336, 3070])).
% 37.46/23.86 tff(3075,assumption,(v26(constB21)), introduced(assumption)).
% 37.46/23.86 tff(3076,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3077,plain,
% 37.46/23.86 ($false),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3076, 120, 3075])).
% 37.46/23.86 tff(3078,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 37.46/23.86 tff(3079,plain,
% 37.46/23.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | (~v107(constB21)) | v106(constB21))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3080,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3081,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | (~v107(constB21)) | v106(constB21)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3080, 3079])).
% 37.46/23.86 tff(3082,plain,
% 37.46/23.86 ((~v107(constB21)) | v106(constB21)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3081, 350, 3078])).
% 37.46/23.86 tff(3083,plain,
% 37.46/23.86 (v106(constB21)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3082, 3074])).
% 37.46/23.86 tff(3084,plain,
% 37.46/23.86 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB21) | (~v106(constB21)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB21) | (~v106(constB21)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3085,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB21) | (~v106(constB21)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3086,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB21) | (~v106(constB21))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 37.46/23.86 tff(3087,plain,
% 37.46/23.86 (v102(constB21)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3086, 362, 3083])).
% 37.46/23.86 tff(3088,plain,
% 37.46/23.86 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3089,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 37.46/23.86 tff(3090,plain,
% 37.46/23.86 (nextState(constB21, constB22)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 37.46/23.86 tff(3091,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3092,plain,
% 37.46/23.86 (((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22)) <=> ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3093,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21))))),
% 37.46/23.86 inference(monotonicity,[status(thm)],[3092])).
% 37.46/23.86 tff(3094,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 37.46/23.86 inference(transitivity,[status(thm)],[3093, 3091])).
% 37.46/23.86 tff(3095,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3096,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3095, 3094])).
% 37.46/23.86 tff(3097,plain,
% 37.46/23.86 (v104(constB22) | (~v102(constB21))),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3096, 379, 3090])).
% 37.46/23.86 tff(3098,plain,
% 37.46/23.86 (v104(constB22)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3097, 3087])).
% 37.46/23.86 tff(3099,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3100,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3101,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3100, 3099])).
% 37.46/23.86 tff(3102,plain,
% 37.46/23.86 (~v98(constB22)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3101, 397, 3090, 2968])).
% 37.46/23.86 tff(3103,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3104,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3105,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB21, constB22)) | v96(constB22) | v98(constB22)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 37.46/23.86 tff(3106,plain,
% 37.46/23.86 (v96(constB22) | v98(constB22)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3105, 411, 3090])).
% 37.46/23.86 tff(3107,plain,
% 37.46/23.86 (v96(constB22)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3106, 3102])).
% 37.46/23.86 tff(3108,plain,
% 37.46/23.86 (v1(constB22) <=> v1(constB22)),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3109,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 37.46/23.86 tff(3110,plain,
% 37.46/23.86 (v1(constB22)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 37.46/23.86 tff(3111,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3112,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3113,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3112, 3111])).
% 37.46/23.86 tff(3114,plain,
% 37.46/23.86 (v95(constB22) | (~v96(constB22))),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3113, 429, 3090, 3110])).
% 37.46/23.86 tff(3115,plain,
% 37.46/23.86 (v95(constB22)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3114, 3107])).
% 37.46/23.86 tff(3116,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3117,plain,
% 37.46/23.86 (((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22)) <=> ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3118,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22))))),
% 37.46/23.86 inference(monotonicity,[status(thm)],[3117])).
% 37.46/23.86 tff(3119,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 37.46/23.86 inference(transitivity,[status(thm)],[3118, 3116])).
% 37.46/23.86 tff(3120,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3121,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 37.46/23.86 tff(3122,plain,
% 37.46/23.86 (v94(constB22) | (~v95(constB22)) | (~v104(constB22))),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3121, 444, 3090])).
% 37.46/23.86 tff(3123,plain,
% 37.46/23.86 (v94(constB22) | (~v104(constB22))),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3122, 3115])).
% 37.46/23.86 tff(3124,plain,
% 37.46/23.86 (v94(constB22)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3123, 3098])).
% 37.46/23.86 tff(3125,plain,
% 37.46/23.86 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB21)) | v124(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB21)) | v124(constB21, bitIndex2))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3126,plain,
% 37.46/23.86 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB21)) | v124(constB21, bitIndex2))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3127,plain,
% 37.46/23.86 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB21)) | v124(constB21, bitIndex2)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3126, 3125])).
% 37.46/23.86 tff(3128,plain,
% 37.46/23.86 (v124(constB21, bitIndex2)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3127, 1918, 3058])).
% 37.46/23.86 tff(3129,plain,
% 37.46/23.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3130,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3131,plain,
% 37.46/23.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 37.46/23.86 tff(3132,plain,
% 37.46/23.86 ((~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3131, 477, 3078])).
% 37.46/23.86 tff(3133,plain,
% 37.46/23.86 (v121(constB21, bitIndex2)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3132, 3128])).
% 37.46/23.86 tff(3134,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3135,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3136,plain,
% 37.46/23.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3135, 3134])).
% 37.46/23.86 tff(3137,plain,
% 37.46/23.86 ((~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3136, 492, 3090])).
% 37.46/23.86 tff(3138,plain,
% 37.46/23.86 (v123(constB22, bitIndex2)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3137, 3133])).
% 37.46/23.86 tff(3139,plain,
% 37.46/23.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3140,plain,
% 37.46/23.86 ((v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2))) <=> (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3141,plain,
% 37.46/23.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22))))),
% 37.46/23.86 inference(monotonicity,[status(thm)],[3140])).
% 37.46/23.86 tff(3142,plain,
% 37.46/23.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 37.46/23.86 inference(transitivity,[status(thm)],[3141, 3139])).
% 37.46/23.86 tff(3143,plain,
% 37.46/23.86 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))),
% 37.46/23.86 inference(quant_inst,[status(thm)],[])).
% 37.46/23.86 tff(3144,plain,
% 37.46/23.86 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22))),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 37.46/23.86 tff(3145,plain,
% 37.46/23.86 (v84(constB22, bitIndex2) | (~v94(constB22))),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3144, 507, 3138])).
% 37.46/23.86 tff(3146,plain,
% 37.46/23.86 (v84(constB22, bitIndex2)),
% 37.46/23.86 inference(unit_resolution,[status(thm)],[3145, 3124])).
% 37.46/23.86 tff(3147,plain,
% 37.46/23.86 ((~v1(constB23)) <=> (~v1(constB23))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3148,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 37.46/23.86 tff(3149,plain,
% 37.46/23.86 (~v1(constB23)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3148, 3147])).
% 37.46/23.86 tff(3150,plain,
% 37.46/23.86 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3151,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 37.46/23.86 tff(3152,plain,
% 37.46/23.86 (nextState(constB22, constB23)),
% 37.46/23.86 inference(modus_ponens,[status(thm)],[3151, 3150])).
% 37.46/23.86 tff(3153,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3154,plain,
% 37.46/23.86 (((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 37.46/23.86 inference(rewrite,[status(thm)],[])).
% 37.46/23.86 tff(3155,plain,
% 37.46/23.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23))))),
% 37.46/23.87 inference(monotonicity,[status(thm)],[3154])).
% 37.46/23.87 tff(3156,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 37.46/23.87 inference(transitivity,[status(thm)],[3155, 3153])).
% 37.46/23.87 tff(3157,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3158,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 37.46/23.87 tff(3159,plain,
% 37.46/23.87 (~v95(constB23)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3158, 175, 3152, 3149])).
% 37.46/23.87 tff(3160,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3161,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3162,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 37.46/23.87 tff(3163,plain,
% 37.46/23.87 (v95(constB23) | (~v94(constB23))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3162, 192, 3152])).
% 37.46/23.87 tff(3164,plain,
% 37.46/23.87 (~v94(constB23)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3163, 3159])).
% 37.46/23.87 tff(3165,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3166,plain,
% 37.46/23.87 (((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2)) <=> ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3167,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2)))),
% 37.46/23.87 inference(monotonicity,[status(thm)],[3166])).
% 37.46/23.87 tff(3168,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 37.46/23.87 inference(transitivity,[status(thm)],[3167, 3165])).
% 37.46/23.87 tff(3169,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3170,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2)),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3169, 3168])).
% 37.46/23.87 tff(3171,plain,
% 37.46/23.87 ((~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3170, 543, 3152])).
% 37.46/23.87 tff(3172,plain,
% 37.46/23.87 ((~v84(constB22, bitIndex2)) | v84(constB23, bitIndex2)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3171, 3164])).
% 37.46/23.87 tff(3173,plain,
% 37.46/23.87 (v84(constB23, bitIndex2)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3172, 3146])).
% 37.46/23.87 tff(3174,plain,
% 37.46/23.87 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB21)) | (~v124(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB21)) | (~v124(constB21, bitIndex1)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3175,plain,
% 37.46/23.87 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB21)) | (~v124(constB21, bitIndex1)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3176,plain,
% 37.46/23.87 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB21)) | (~v124(constB21, bitIndex1))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3175, 3174])).
% 37.46/23.87 tff(3177,plain,
% 37.46/23.87 (~v124(constB21, bitIndex1)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3176, 1977, 3058])).
% 37.46/23.87 tff(3178,plain,
% 37.46/23.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3179,plain,
% 37.46/23.87 ((v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1))) <=> ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3180,plain,
% 37.46/23.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1)))),
% 37.46/23.87 inference(monotonicity,[status(thm)],[3179])).
% 37.46/23.87 tff(3181,plain,
% 37.46/23.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 37.46/23.87 inference(transitivity,[status(thm)],[3180, 3178])).
% 37.46/23.87 tff(3182,plain,
% 37.46/23.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3183,plain,
% 37.46/23.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1)),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3182, 3181])).
% 37.46/23.87 tff(3184,plain,
% 37.46/23.87 ((~v121(constB21, bitIndex1)) | v124(constB21, bitIndex1)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3183, 576, 3078])).
% 37.46/23.87 tff(3185,plain,
% 37.46/23.87 (~v121(constB21, bitIndex1)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3184, 3177])).
% 37.46/23.87 tff(3186,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3187,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3188,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 37.46/23.87 tff(3189,plain,
% 37.46/23.87 (v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3188, 594, 3090])).
% 37.46/23.87 tff(3190,plain,
% 37.46/23.87 (~v123(constB22, bitIndex1)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3189, 3185])).
% 37.46/23.87 tff(3191,plain,
% 37.46/23.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3192,plain,
% 37.46/23.87 (((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1)) <=> ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3193,plain,
% 37.46/23.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22))))),
% 37.46/23.87 inference(monotonicity,[status(thm)],[3192])).
% 37.46/23.87 tff(3194,plain,
% 37.46/23.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 37.46/23.87 inference(transitivity,[status(thm)],[3193, 3191])).
% 37.46/23.87 tff(3195,plain,
% 37.46/23.87 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3196,plain,
% 37.46/23.87 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 37.46/23.87 tff(3197,plain,
% 37.46/23.87 ((~v84(constB22, bitIndex1)) | (~v94(constB22))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3196, 609, 3190])).
% 37.46/23.87 tff(3198,plain,
% 37.46/23.87 (~v84(constB22, bitIndex1)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3197, 3124])).
% 37.46/23.87 tff(3199,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3200,plain,
% 37.46/23.87 (((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1))) <=> (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3201,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1))))),
% 37.46/23.87 inference(monotonicity,[status(thm)],[3200])).
% 37.46/23.87 tff(3202,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 37.46/23.87 inference(transitivity,[status(thm)],[3201, 3199])).
% 37.46/23.87 tff(3203,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3204,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 37.46/23.87 tff(3205,plain,
% 37.46/23.87 (v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3204, 228, 3152])).
% 37.46/23.87 tff(3206,plain,
% 37.46/23.87 (v84(constB22, bitIndex1) | (~v84(constB23, bitIndex1))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3205, 3164])).
% 37.46/23.87 tff(3207,plain,
% 37.46/23.87 (~v84(constB23, bitIndex1)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3206, 3198])).
% 37.46/23.87 tff(3208,plain,
% 37.46/23.87 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB21)) | (~v124(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB21)) | (~v124(constB21, bitIndex0)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3209,plain,
% 37.46/23.87 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB21)) | (~v124(constB21, bitIndex0)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3210,plain,
% 37.46/23.87 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB21)) | (~v124(constB21, bitIndex0))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 37.46/23.87 tff(3211,plain,
% 37.46/23.87 (~v124(constB21, bitIndex0)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3210, 2021, 3058])).
% 37.46/23.87 tff(3212,plain,
% 37.46/23.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3213,plain,
% 37.46/23.87 ((v26(constB21) | v124(constB21, bitIndex0) | (~v121(constB21, bitIndex0))) <=> ((~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3214,plain,
% 37.46/23.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB21) | v124(constB21, bitIndex0) | (~v121(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0)))),
% 37.46/23.87 inference(monotonicity,[status(thm)],[3213])).
% 37.46/23.87 tff(3215,plain,
% 37.46/23.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB21) | v124(constB21, bitIndex0) | (~v121(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0))),
% 37.46/23.87 inference(transitivity,[status(thm)],[3214, 3212])).
% 37.46/23.87 tff(3216,plain,
% 37.46/23.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB21) | v124(constB21, bitIndex0) | (~v121(constB21, bitIndex0)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3217,plain,
% 37.46/23.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB21, bitIndex0)) | v26(constB21) | v124(constB21, bitIndex0)),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 37.46/23.87 tff(3218,plain,
% 37.46/23.87 ((~v121(constB21, bitIndex0)) | v124(constB21, bitIndex0)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3217, 650, 3078])).
% 37.46/23.87 tff(3219,plain,
% 37.46/23.87 (~v121(constB21, bitIndex0)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3218, 3211])).
% 37.46/23.87 tff(3220,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3221,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3222,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3221, 3220])).
% 37.46/23.87 tff(3223,plain,
% 37.46/23.87 (v121(constB21, bitIndex0) | (~v123(constB22, bitIndex0))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3222, 668, 3090])).
% 37.46/23.87 tff(3224,plain,
% 37.46/23.87 (~v123(constB22, bitIndex0)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3223, 3219])).
% 37.46/23.87 tff(3225,plain,
% 37.46/23.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3226,plain,
% 37.46/23.87 (((~v84(constB22, bitIndex0)) | (~v94(constB22)) | v123(constB22, bitIndex0)) <=> ((~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3227,plain,
% 37.46/23.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~v94(constB22)) | v123(constB22, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22))))),
% 37.46/23.87 inference(monotonicity,[status(thm)],[3226])).
% 37.46/23.87 tff(3228,plain,
% 37.46/23.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~v94(constB22)) | v123(constB22, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22)))),
% 37.46/23.87 inference(transitivity,[status(thm)],[3227, 3225])).
% 37.46/23.87 tff(3229,plain,
% 37.46/23.87 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~v94(constB22)) | v123(constB22, bitIndex0))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3230,plain,
% 37.46/23.87 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | v123(constB22, bitIndex0) | (~v94(constB22))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3229, 3228])).
% 37.46/23.87 tff(3231,plain,
% 37.46/23.87 ((~v84(constB22, bitIndex0)) | (~v94(constB22))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3230, 683, 3224])).
% 37.46/23.87 tff(3232,plain,
% 37.46/23.87 (~v84(constB22, bitIndex0)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3231, 3124])).
% 37.46/23.87 tff(3233,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3234,plain,
% 37.46/23.87 (((~nextState(constB22, constB23)) | v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0))) <=> (v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0)))),
% 37.46/23.87 inference(rewrite,[status(thm)],[])).
% 37.46/23.87 tff(3235,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0))))),
% 37.46/23.87 inference(monotonicity,[status(thm)],[3234])).
% 37.46/23.87 tff(3236,plain,
% 37.46/23.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0)))),
% 37.46/23.87 inference(transitivity,[status(thm)],[3235, 3233])).
% 37.46/23.87 tff(3237,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0)))),
% 37.46/23.87 inference(quant_inst,[status(thm)],[])).
% 37.46/23.87 tff(3238,plain,
% 37.46/23.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex0))),
% 37.46/23.87 inference(modus_ponens,[status(thm)],[3237, 3236])).
% 37.46/23.87 tff(3239,plain,
% 37.46/23.87 (v84(constB22, bitIndex0) | v94(constB23) | (~v84(constB23, bitIndex0))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3238, 249, 3152])).
% 37.46/23.87 tff(3240,plain,
% 37.46/23.87 (v84(constB22, bitIndex0) | (~v84(constB23, bitIndex0))),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3239, 3164])).
% 37.46/23.87 tff(3241,plain,
% 37.46/23.87 (~v84(constB23, bitIndex0)),
% 37.46/23.87 inference(unit_resolution,[status(thm)],[3240, 3232])).
% 37.46/23.88 tff(3242,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB23, bitIndex0) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v172(constB23))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB23, bitIndex0) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v172(constB23))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3243,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB23, bitIndex0) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v172(constB23))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3244,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB23, bitIndex0) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v172(constB23)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 37.46/23.88 tff(3245,plain,
% 37.46/23.88 (v172(constB23)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3244, 710, 3241, 3207, 3173])).
% 37.46/23.88 tff(3246,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB23) | (~v172(constB23)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB23) | (~v172(constB23)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3247,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB23) | (~v172(constB23)))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3248,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB23) | (~v172(constB23))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 37.46/23.88 tff(3249,plain,
% 37.46/23.88 (v109(constB23)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3248, 764, 3245])).
% 37.46/23.88 tff(3250,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB23) | (~v109(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB23) | (~v109(constB23)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3251,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB23) | (~v109(constB23)))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3252,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB23) | (~v109(constB23))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 37.46/23.88 tff(3253,plain,
% 37.46/23.88 (v108(constB23)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3252, 325, 3249])).
% 37.46/23.88 tff(3254,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB23) | (~v108(constB23)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB23) | (~v108(constB23)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3255,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB23) | (~v108(constB23)))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3256,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB23) | (~v108(constB23))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 37.46/23.88 tff(3257,plain,
% 37.46/23.88 (v107(constB23)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3256, 336, 3253])).
% 37.46/23.88 tff(3258,assumption,(v26(constB23)), introduced(assumption)).
% 37.46/23.88 tff(3259,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3260,plain,
% 37.46/23.88 ($false),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3259, 120, 3258])).
% 37.46/23.88 tff(3261,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 37.46/23.88 tff(3262,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | v106(constB23) | (~v107(constB23)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3263,plain,
% 37.46/23.88 ((v26(constB23) | (~v107(constB23)) | v106(constB23)) <=> (v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3264,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | v106(constB23) | (~v107(constB23))))),
% 37.46/23.88 inference(monotonicity,[status(thm)],[3263])).
% 37.46/23.88 tff(3265,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 37.46/23.88 inference(transitivity,[status(thm)],[3264, 3262])).
% 37.46/23.88 tff(3266,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3267,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 37.46/23.88 tff(3268,plain,
% 37.46/23.88 (v106(constB23) | (~v107(constB23))),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3267, 350, 3261])).
% 37.46/23.88 tff(3269,plain,
% 37.46/23.88 (v106(constB23)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3268, 3257])).
% 37.46/23.88 tff(3270,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB23) | (~v106(constB23)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB23) | (~v106(constB23)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3271,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB23) | (~v106(constB23)))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3272,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB23) | (~v106(constB23))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3271, 3270])).
% 37.46/23.88 tff(3273,plain,
% 37.46/23.88 (v102(constB23)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3272, 362, 3269])).
% 37.46/23.88 tff(3274,plain,
% 37.46/23.88 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3275,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 37.46/23.88 tff(3276,plain,
% 37.46/23.88 (nextState(constB23, constB24)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3275, 3274])).
% 37.46/23.88 tff(3277,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3278,plain,
% 37.46/23.88 (((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24)) <=> ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3279,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23))))),
% 37.46/23.88 inference(monotonicity,[status(thm)],[3278])).
% 37.46/23.88 tff(3280,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 37.46/23.88 inference(transitivity,[status(thm)],[3279, 3277])).
% 37.46/23.88 tff(3281,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3282,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 37.46/23.88 tff(3283,plain,
% 37.46/23.88 (v104(constB24) | (~v102(constB23))),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3282, 379, 3276])).
% 37.46/23.88 tff(3284,plain,
% 37.46/23.88 (v104(constB24)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3283, 3273])).
% 37.46/23.88 tff(3285,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3286,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3287,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3286, 3285])).
% 37.46/23.88 tff(3288,plain,
% 37.46/23.88 (~v98(constB24)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3287, 397, 3276, 3149])).
% 37.46/23.88 tff(3289,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3290,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3291,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB23, constB24)) | v96(constB24) | v98(constB24)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3290, 3289])).
% 37.46/23.88 tff(3292,plain,
% 37.46/23.88 (v96(constB24) | v98(constB24)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3291, 411, 3276])).
% 37.46/23.88 tff(3293,plain,
% 37.46/23.88 (v96(constB24)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3292, 3288])).
% 37.46/23.88 tff(3294,plain,
% 37.46/23.88 (v1(constB24) <=> v1(constB24)),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3295,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 37.46/23.88 tff(3296,plain,
% 37.46/23.88 (v1(constB24)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3295, 3294])).
% 37.46/23.88 tff(3297,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3298,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3299,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3298, 3297])).
% 37.46/23.88 tff(3300,plain,
% 37.46/23.88 (v95(constB24) | (~v96(constB24))),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3299, 429, 3276, 3296])).
% 37.46/23.88 tff(3301,plain,
% 37.46/23.88 (v95(constB24)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3300, 3293])).
% 37.46/23.88 tff(3302,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3303,plain,
% 37.46/23.88 (((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24)) <=> ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3304,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24))))),
% 37.46/23.88 inference(monotonicity,[status(thm)],[3303])).
% 37.46/23.88 tff(3305,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 37.46/23.88 inference(transitivity,[status(thm)],[3304, 3302])).
% 37.46/23.88 tff(3306,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3307,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3306, 3305])).
% 37.46/23.88 tff(3308,plain,
% 37.46/23.88 (v94(constB24) | (~v95(constB24)) | (~v104(constB24))),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3307, 444, 3276])).
% 37.46/23.88 tff(3309,plain,
% 37.46/23.88 (v94(constB24) | (~v104(constB24))),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3308, 3301])).
% 37.46/23.88 tff(3310,plain,
% 37.46/23.88 (v94(constB24)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3309, 3284])).
% 37.46/23.88 tff(3311,plain,
% 37.46/23.88 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB23)) | v124(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB23)) | v124(constB23, bitIndex2))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3312,plain,
% 37.46/23.88 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB23)) | v124(constB23, bitIndex2))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3313,plain,
% 37.46/23.88 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB23)) | v124(constB23, bitIndex2)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 37.46/23.88 tff(3314,plain,
% 37.46/23.88 (v124(constB23, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3313, 724, 3245])).
% 37.46/23.88 tff(3315,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3316,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3317,plain,
% 37.46/23.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 37.46/23.88 tff(3318,plain,
% 37.46/23.88 ((~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3317, 477, 3261])).
% 37.46/23.88 tff(3319,plain,
% 37.46/23.88 (v121(constB23, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3318, 3314])).
% 37.46/23.88 tff(3320,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3321,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3322,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3321, 3320])).
% 37.46/23.88 tff(3323,plain,
% 37.46/23.88 ((~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3322, 492, 3276])).
% 37.46/23.88 tff(3324,plain,
% 37.46/23.88 (v123(constB24, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3323, 3319])).
% 37.46/23.88 tff(3325,plain,
% 37.46/23.88 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3326,plain,
% 37.46/23.88 ((v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2))) <=> (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3327,plain,
% 37.46/23.88 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24))))),
% 37.46/23.88 inference(monotonicity,[status(thm)],[3326])).
% 37.46/23.88 tff(3328,plain,
% 37.46/23.88 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 37.46/23.88 inference(transitivity,[status(thm)],[3327, 3325])).
% 37.46/23.88 tff(3329,plain,
% 37.46/23.88 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3330,plain,
% 37.46/23.88 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 37.46/23.88 tff(3331,plain,
% 37.46/23.88 (v84(constB24, bitIndex2) | (~v94(constB24))),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3330, 507, 3324])).
% 37.46/23.88 tff(3332,plain,
% 37.46/23.88 (v84(constB24, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3331, 3310])).
% 37.46/23.88 tff(3333,plain,
% 37.46/23.88 ((~v1(constB25)) <=> (~v1(constB25))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3334,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 37.46/23.88 tff(3335,plain,
% 37.46/23.88 (~v1(constB25)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3334, 3333])).
% 37.46/23.88 tff(3336,plain,
% 37.46/23.88 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3337,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 37.46/23.88 tff(3338,plain,
% 37.46/23.88 (nextState(constB24, constB25)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 37.46/23.88 tff(3339,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3340,plain,
% 37.46/23.88 (((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3341,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25))))),
% 37.46/23.88 inference(monotonicity,[status(thm)],[3340])).
% 37.46/23.88 tff(3342,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 37.46/23.88 inference(transitivity,[status(thm)],[3341, 3339])).
% 37.46/23.88 tff(3343,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3344,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 37.46/23.88 tff(3345,plain,
% 37.46/23.88 (~v95(constB25)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3344, 175, 3338, 3335])).
% 37.46/23.88 tff(3346,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3347,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3348,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25))),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 37.46/23.88 tff(3349,plain,
% 37.46/23.88 (v95(constB25) | (~v94(constB25))),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3348, 192, 3338])).
% 37.46/23.88 tff(3350,plain,
% 37.46/23.88 (~v94(constB25)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3349, 3345])).
% 37.46/23.88 tff(3351,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3352,plain,
% 37.46/23.88 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2)) <=> ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3353,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2)))),
% 37.46/23.88 inference(monotonicity,[status(thm)],[3352])).
% 37.46/23.88 tff(3354,plain,
% 37.46/23.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 37.46/23.88 inference(transitivity,[status(thm)],[3353, 3351])).
% 37.46/23.88 tff(3355,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3356,plain,
% 37.46/23.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 37.46/23.88 tff(3357,plain,
% 37.46/23.88 ((~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3356, 543, 3338])).
% 37.46/23.88 tff(3358,plain,
% 37.46/23.88 ((~v84(constB24, bitIndex2)) | v84(constB25, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3357, 3350])).
% 37.46/23.88 tff(3359,plain,
% 37.46/23.88 (v84(constB25, bitIndex2)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3358, 3332])).
% 37.46/23.88 tff(3360,plain,
% 37.46/23.88 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB23)) | v124(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB23)) | v124(constB23, bitIndex1))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.88 tff(3361,plain,
% 37.46/23.88 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB23)) | v124(constB23, bitIndex1))),
% 37.46/23.88 inference(quant_inst,[status(thm)],[])).
% 37.46/23.88 tff(3362,plain,
% 37.46/23.88 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB23)) | v124(constB23, bitIndex1)),
% 37.46/23.88 inference(modus_ponens,[status(thm)],[3361, 3360])).
% 37.46/23.88 tff(3363,plain,
% 37.46/23.88 (v124(constB23, bitIndex1)),
% 37.46/23.88 inference(unit_resolution,[status(thm)],[3362, 861, 3245])).
% 37.46/23.88 tff(3364,plain,
% 37.46/23.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))),
% 37.46/23.88 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3365,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3366,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3365, 3364])).
% 37.46/23.89 tff(3367,plain,
% 37.46/23.89 ((~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3366, 875, 3261])).
% 37.46/23.89 tff(3368,plain,
% 37.46/23.89 (v121(constB23, bitIndex1)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3367, 3363])).
% 37.46/23.89 tff(3369,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3370,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3371,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 37.46/23.89 tff(3372,plain,
% 37.46/23.89 ((~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3371, 890, 3276])).
% 37.46/23.89 tff(3373,plain,
% 37.46/23.89 (v123(constB24, bitIndex1)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3372, 3368])).
% 37.46/23.89 tff(3374,plain,
% 37.46/23.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3375,plain,
% 37.46/23.89 ((v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1))) <=> (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3376,plain,
% 37.46/23.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24))))),
% 37.46/23.89 inference(monotonicity,[status(thm)],[3375])).
% 37.46/23.89 tff(3377,plain,
% 37.46/23.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 37.46/23.89 inference(transitivity,[status(thm)],[3376, 3374])).
% 37.46/23.89 tff(3378,plain,
% 37.46/23.89 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3379,plain,
% 37.46/23.89 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3378, 3377])).
% 37.46/23.89 tff(3380,plain,
% 37.46/23.89 (v84(constB24, bitIndex1) | (~v94(constB24))),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3379, 905, 3373])).
% 37.46/23.89 tff(3381,plain,
% 37.46/23.89 (v84(constB24, bitIndex1)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3380, 3310])).
% 37.46/23.89 tff(3382,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3383,plain,
% 37.46/23.89 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1)) <=> ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3384,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1)))),
% 37.46/23.89 inference(monotonicity,[status(thm)],[3383])).
% 37.46/23.89 tff(3385,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 37.46/23.89 inference(transitivity,[status(thm)],[3384, 3382])).
% 37.46/23.89 tff(3386,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3387,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3386, 3385])).
% 37.46/23.89 tff(3388,plain,
% 37.46/23.89 ((~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3387, 923, 3338])).
% 37.46/23.89 tff(3389,plain,
% 37.46/23.89 ((~v84(constB24, bitIndex1)) | v84(constB25, bitIndex1)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3388, 3350])).
% 37.46/23.89 tff(3390,plain,
% 37.46/23.89 (v84(constB25, bitIndex1)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3389, 3381])).
% 37.46/23.89 tff(3391,plain,
% 37.46/23.89 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB23)) | (~v124(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB23)) | (~v124(constB23, bitIndex0)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3392,plain,
% 37.46/23.89 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB23)) | (~v124(constB23, bitIndex0)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3393,plain,
% 37.46/23.89 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB23)) | (~v124(constB23, bitIndex0))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 37.46/23.89 tff(3394,plain,
% 37.46/23.89 (~v124(constB23, bitIndex0)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3393, 942, 3245])).
% 37.46/23.89 tff(3395,plain,
% 37.46/23.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3396,plain,
% 37.46/23.89 ((v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0))) <=> ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3397,plain,
% 37.46/23.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0)))),
% 37.46/23.89 inference(monotonicity,[status(thm)],[3396])).
% 37.46/23.89 tff(3398,plain,
% 37.46/23.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 37.46/23.89 inference(transitivity,[status(thm)],[3397, 3395])).
% 37.46/23.89 tff(3399,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3400,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 37.46/23.89 tff(3401,plain,
% 37.46/23.89 ((~v121(constB23, bitIndex0)) | v124(constB23, bitIndex0)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3400, 650, 3261])).
% 37.46/23.89 tff(3402,plain,
% 37.46/23.89 (~v121(constB23, bitIndex0)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3401, 3394])).
% 37.46/23.89 tff(3403,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3404,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3405,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 37.46/23.89 tff(3406,plain,
% 37.46/23.89 (v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0))),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3405, 668, 3276])).
% 37.46/23.89 tff(3407,plain,
% 37.46/23.89 (~v123(constB24, bitIndex0)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3406, 3402])).
% 37.46/23.89 tff(3408,plain,
% 37.46/23.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3409,plain,
% 37.46/23.89 (((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0)) <=> ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3410,plain,
% 37.46/23.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24))))),
% 37.46/23.89 inference(monotonicity,[status(thm)],[3409])).
% 37.46/23.89 tff(3411,plain,
% 37.46/23.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 37.46/23.89 inference(transitivity,[status(thm)],[3410, 3408])).
% 37.46/23.89 tff(3412,plain,
% 37.46/23.89 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3413,plain,
% 37.46/23.89 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3412, 3411])).
% 37.46/23.89 tff(3414,plain,
% 37.46/23.89 ((~v84(constB24, bitIndex0)) | (~v94(constB24))),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3413, 683, 3407])).
% 37.46/23.89 tff(3415,plain,
% 37.46/23.89 (~v84(constB24, bitIndex0)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3414, 3310])).
% 37.46/23.89 tff(3416,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3417,plain,
% 37.46/23.89 (((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0))) <=> (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3418,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0))))),
% 37.46/23.89 inference(monotonicity,[status(thm)],[3417])).
% 37.46/23.89 tff(3419,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 37.46/23.89 inference(transitivity,[status(thm)],[3418, 3416])).
% 37.46/23.89 tff(3420,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3421,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3420, 3419])).
% 37.46/23.89 tff(3422,plain,
% 37.46/23.89 (v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0))),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3421, 249, 3338])).
% 37.46/23.89 tff(3423,plain,
% 37.46/23.89 (v84(constB24, bitIndex0) | (~v84(constB25, bitIndex0))),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3422, 3350])).
% 37.46/23.89 tff(3424,plain,
% 37.46/23.89 (~v84(constB25, bitIndex0)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3423, 3415])).
% 37.46/23.89 tff(3425,plain,
% 37.46/23.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3426,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3427,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 37.46/23.89 tff(3428,plain,
% 37.46/23.89 (v119(constB25)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3427, 986, 3424, 3390, 3359])).
% 37.46/23.89 tff(3429,plain,
% 37.46/23.89 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB25) | (~v119(constB25)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB25) | (~v119(constB25)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3430,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB25) | (~v119(constB25)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3431,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB25) | (~v119(constB25))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3430, 3429])).
% 37.46/23.89 tff(3432,plain,
% 37.46/23.89 (v107(constB25)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3431, 997, 3428])).
% 37.46/23.89 tff(3433,assumption,(v26(constB25)), introduced(assumption)).
% 37.46/23.89 tff(3434,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3435,plain,
% 37.46/23.89 ($false),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3434, 120, 3433])).
% 37.46/23.89 tff(3436,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 37.46/23.89 tff(3437,plain,
% 37.46/23.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB25) | (~v107(constB25)) | v106(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB25) | (~v107(constB25)) | v106(constB25))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3438,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB25) | (~v107(constB25)) | v106(constB25))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3439,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB25) | (~v107(constB25)) | v106(constB25)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 37.46/23.89 tff(3440,plain,
% 37.46/23.89 ((~v107(constB25)) | v106(constB25)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3439, 350, 3436])).
% 37.46/23.89 tff(3441,plain,
% 37.46/23.89 (v106(constB25)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3440, 3432])).
% 37.46/23.89 tff(3442,plain,
% 37.46/23.89 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB25) | (~v106(constB25)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB25) | (~v106(constB25)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3443,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB25) | (~v106(constB25)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3444,plain,
% 37.46/23.89 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB25) | (~v106(constB25))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 37.46/23.89 tff(3445,plain,
% 37.46/23.89 (v102(constB25)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3444, 362, 3441])).
% 37.46/23.89 tff(3446,plain,
% 37.46/23.89 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3447,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 37.46/23.89 tff(3448,plain,
% 37.46/23.89 (nextState(constB25, constB26)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3447, 3446])).
% 37.46/23.89 tff(3449,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3450,plain,
% 37.46/23.89 (((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26)) <=> ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3451,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25))))),
% 37.46/23.89 inference(monotonicity,[status(thm)],[3450])).
% 37.46/23.89 tff(3452,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 37.46/23.89 inference(transitivity,[status(thm)],[3451, 3449])).
% 37.46/23.89 tff(3453,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3454,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 37.46/23.89 tff(3455,plain,
% 37.46/23.89 (v104(constB26) | (~v102(constB25))),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3454, 379, 3448])).
% 37.46/23.89 tff(3456,plain,
% 37.46/23.89 (v104(constB26)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3455, 3445])).
% 37.46/23.89 tff(3457,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3458,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3459,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3458, 3457])).
% 37.46/23.89 tff(3460,plain,
% 37.46/23.89 (~v98(constB26)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3459, 397, 3448, 3335])).
% 37.46/23.89 tff(3461,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3462,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3463,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB25, constB26)) | v96(constB26) | v98(constB26)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3462, 3461])).
% 37.46/23.89 tff(3464,plain,
% 37.46/23.89 (v96(constB26) | v98(constB26)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3463, 411, 3448])).
% 37.46/23.89 tff(3465,plain,
% 37.46/23.89 (v96(constB26)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3464, 3460])).
% 37.46/23.89 tff(3466,plain,
% 37.46/23.89 (v1(constB26) <=> v1(constB26)),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3467,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 37.46/23.89 tff(3468,plain,
% 37.46/23.89 (v1(constB26)),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 37.46/23.89 tff(3469,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3470,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))),
% 37.46/23.89 inference(quant_inst,[status(thm)],[])).
% 37.46/23.89 tff(3471,plain,
% 37.46/23.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26))),
% 37.46/23.89 inference(modus_ponens,[status(thm)],[3470, 3469])).
% 37.46/23.89 tff(3472,plain,
% 37.46/23.89 (v95(constB26) | (~v96(constB26))),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3471, 429, 3448, 3468])).
% 37.46/23.89 tff(3473,plain,
% 37.46/23.89 (v95(constB26)),
% 37.46/23.89 inference(unit_resolution,[status(thm)],[3472, 3465])).
% 37.46/23.89 tff(3474,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3475,plain,
% 37.46/23.89 (((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26)) <=> ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 37.46/23.89 inference(rewrite,[status(thm)],[])).
% 37.46/23.89 tff(3476,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26))))),
% 37.46/23.89 inference(monotonicity,[status(thm)],[3475])).
% 37.46/23.89 tff(3477,plain,
% 37.46/23.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 37.46/23.90 inference(transitivity,[status(thm)],[3476, 3474])).
% 37.46/23.90 tff(3478,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3479,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3478, 3477])).
% 37.46/23.90 tff(3480,plain,
% 37.46/23.90 (v94(constB26) | (~v95(constB26)) | (~v104(constB26))),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3479, 444, 3448])).
% 37.46/23.90 tff(3481,plain,
% 37.46/23.90 (v94(constB26) | (~v104(constB26))),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3480, 3473])).
% 37.46/23.90 tff(3482,plain,
% 37.46/23.90 (v94(constB26)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3481, 3456])).
% 37.46/23.90 tff(3483,plain,
% 37.46/23.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB25, bitIndex2)) | (~v116(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB25, bitIndex2)) | (~v116(constB25)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3484,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB25, bitIndex2)) | (~v116(constB25)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3485,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB25, bitIndex2)) | (~v116(constB25))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3484, 3483])).
% 37.46/23.90 tff(3486,plain,
% 37.46/23.90 (~v116(constB25)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3485, 1069, 3359])).
% 37.46/23.90 tff(3487,plain,
% 37.46/23.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v118(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v118(constB25)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3488,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v118(constB25)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3489,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v118(constB25))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3488, 3487])).
% 37.46/23.90 tff(3490,plain,
% 37.46/23.90 (~v118(constB25)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3489, 1094, 3390])).
% 37.46/23.90 tff(3491,plain,
% 37.46/23.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB25, bitIndex2)) | (~v115(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB25, bitIndex2)) | (~v115(constB25)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3492,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB25, bitIndex2)) | (~v115(constB25)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3493,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB25, bitIndex2)) | (~v115(constB25))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3492, 3491])).
% 37.46/23.90 tff(3494,plain,
% 37.46/23.90 (~v115(constB25)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3493, 1058, 3359])).
% 37.46/23.90 tff(3495,plain,
% 37.46/23.90 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB25)) | (~v84(constB25, bitIndex1)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3496,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex1)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3497,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB25)) | (~v84(constB25, bitIndex1))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3496, 3495])).
% 37.46/23.90 tff(3498,plain,
% 37.46/23.90 (~v113(constB25)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3497, 1083, 3390])).
% 37.46/23.90 tff(3499,plain,
% 37.46/23.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v172(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v172(constB25)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3500,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v172(constB25)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3501,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v172(constB25))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3500, 3499])).
% 37.46/23.90 tff(3502,plain,
% 37.46/23.90 (~v172(constB25)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3501, 1105, 3390])).
% 37.46/23.90 tff(3503,plain,
% 37.46/23.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v145(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v145(constB25)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3504,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v145(constB25)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3505,plain,
% 37.46/23.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v145(constB25))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3504, 3503])).
% 37.46/23.90 tff(3506,plain,
% 37.46/23.90 (~v145(constB25)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3505, 1116, 3390])).
% 37.46/23.90 tff(3507,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3508,plain,
% 37.46/23.90 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2))) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3509,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2))))),
% 37.46/23.90 inference(monotonicity,[status(thm)],[3508])).
% 37.46/23.90 tff(3510,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 37.46/23.90 inference(transitivity,[status(thm)],[3509, 3507])).
% 37.46/23.90 tff(3511,plain,
% 37.46/23.90 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3512,plain,
% 37.46/23.90 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3511, 3510])).
% 37.46/23.90 tff(3513,plain,
% 37.46/23.90 (~v124(constB25, bitIndex2)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3512, 1130, 3506, 3502, 3498, 3494, 3490, 3486])).
% 37.46/23.90 tff(3514,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3515,plain,
% 37.46/23.90 ((v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2))) <=> ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3516,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2)))),
% 37.46/23.90 inference(monotonicity,[status(thm)],[3515])).
% 37.46/23.90 tff(3517,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 37.46/23.90 inference(transitivity,[status(thm)],[3516, 3514])).
% 37.46/23.90 tff(3518,plain,
% 37.46/23.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3519,plain,
% 37.46/23.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2)),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 37.46/23.90 tff(3520,plain,
% 37.46/23.90 ((~v121(constB25, bitIndex2)) | v124(constB25, bitIndex2)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3519, 1147, 3436])).
% 37.46/23.90 tff(3521,plain,
% 37.46/23.90 (~v121(constB25, bitIndex2)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3520, 3513])).
% 37.46/23.90 tff(3522,plain,
% 37.46/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3523,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3524,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 37.46/23.90 tff(3525,plain,
% 37.46/23.90 (v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2))),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3524, 1165, 3448])).
% 37.46/23.90 tff(3526,plain,
% 37.46/23.90 (~v123(constB26, bitIndex2)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3525, 3521])).
% 37.46/23.90 tff(3527,plain,
% 37.46/23.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3528,plain,
% 37.46/23.90 (((~v84(constB26, bitIndex2)) | (~v94(constB26)) | v123(constB26, bitIndex2)) <=> ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3529,plain,
% 37.46/23.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | (~v94(constB26)) | v123(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26))))),
% 37.46/23.90 inference(monotonicity,[status(thm)],[3528])).
% 37.46/23.90 tff(3530,plain,
% 37.46/23.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | (~v94(constB26)) | v123(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 37.46/23.90 inference(transitivity,[status(thm)],[3529, 3527])).
% 37.46/23.90 tff(3531,plain,
% 37.46/23.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | (~v94(constB26)) | v123(constB26, bitIndex2))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3532,plain,
% 37.46/23.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3531, 3530])).
% 37.46/23.90 tff(3533,plain,
% 37.46/23.90 ((~v84(constB26, bitIndex2)) | (~v94(constB26))),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3532, 1180, 3526])).
% 37.46/23.90 tff(3534,plain,
% 37.46/23.90 (~v84(constB26, bitIndex2)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3533, 3482])).
% 37.46/23.90 tff(3535,plain,
% 37.46/23.90 ((~v1(constB27)) <=> (~v1(constB27))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3536,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 37.46/23.90 tff(3537,plain,
% 37.46/23.90 (~v1(constB27)),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3536, 3535])).
% 37.46/23.90 tff(3538,plain,
% 37.46/23.90 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3539,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 37.46/23.90 tff(3540,plain,
% 37.46/23.90 (nextState(constB26, constB27)),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3539, 3538])).
% 37.46/23.90 tff(3541,plain,
% 37.46/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3542,plain,
% 37.46/23.90 (((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3543,plain,
% 37.46/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27))))),
% 37.46/23.90 inference(monotonicity,[status(thm)],[3542])).
% 37.46/23.90 tff(3544,plain,
% 37.46/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 37.46/23.90 inference(transitivity,[status(thm)],[3543, 3541])).
% 37.46/23.90 tff(3545,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3546,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3545, 3544])).
% 37.46/23.90 tff(3547,plain,
% 37.46/23.90 (~v95(constB27)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3546, 175, 3540, 3537])).
% 37.46/23.90 tff(3548,plain,
% 37.46/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3549,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3550,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 37.46/23.90 tff(3551,plain,
% 37.46/23.90 (v95(constB27) | (~v94(constB27))),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3550, 192, 3540])).
% 37.46/23.90 tff(3552,plain,
% 37.46/23.90 (~v94(constB27)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3551, 3547])).
% 37.46/23.90 tff(3553,plain,
% 37.46/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3554,plain,
% 37.46/23.90 (((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2))) <=> (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3555,plain,
% 37.46/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2))))),
% 37.46/23.90 inference(monotonicity,[status(thm)],[3554])).
% 37.46/23.90 tff(3556,plain,
% 37.46/23.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 37.46/23.90 inference(transitivity,[status(thm)],[3555, 3553])).
% 37.46/23.90 tff(3557,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3558,plain,
% 37.46/23.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 37.46/23.90 tff(3559,plain,
% 37.46/23.90 (v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2))),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3558, 207, 3540])).
% 37.46/23.90 tff(3560,plain,
% 37.46/23.90 (v84(constB26, bitIndex2) | (~v84(constB27, bitIndex2))),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3559, 3552])).
% 37.46/23.90 tff(3561,plain,
% 37.46/23.90 (~v84(constB27, bitIndex2)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3560, 3534])).
% 37.46/23.90 tff(3562,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3563,plain,
% 37.46/23.90 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1))) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3564,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1))))),
% 37.46/23.90 inference(monotonicity,[status(thm)],[3563])).
% 37.46/23.90 tff(3565,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 37.46/23.90 inference(transitivity,[status(thm)],[3564, 3562])).
% 37.46/23.90 tff(3566,plain,
% 37.46/23.90 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))),
% 37.46/23.90 inference(quant_inst,[status(thm)],[])).
% 37.46/23.90 tff(3567,plain,
% 37.46/23.90 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1))),
% 37.46/23.90 inference(modus_ponens,[status(thm)],[3566, 3565])).
% 37.46/23.90 tff(3568,plain,
% 37.46/23.90 (~v124(constB25, bitIndex1)),
% 37.46/23.90 inference(unit_resolution,[status(thm)],[3567, 1225, 3506, 3502, 3498, 3494, 3490, 3486])).
% 37.46/23.90 tff(3569,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3570,plain,
% 37.46/23.90 ((v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1))) <=> ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 37.46/23.90 inference(rewrite,[status(thm)],[])).
% 37.46/23.90 tff(3571,plain,
% 37.46/23.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1)))),
% 37.46/23.91 inference(monotonicity,[status(thm)],[3570])).
% 37.46/23.91 tff(3572,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 37.46/23.91 inference(transitivity,[status(thm)],[3571, 3569])).
% 37.46/23.91 tff(3573,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3574,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 37.46/23.91 tff(3575,plain,
% 37.46/23.91 ((~v121(constB25, bitIndex1)) | v124(constB25, bitIndex1)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3574, 576, 3436])).
% 37.46/23.91 tff(3576,plain,
% 37.46/23.91 (~v121(constB25, bitIndex1)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3575, 3568])).
% 37.46/23.91 tff(3577,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3578,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3579,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 37.46/23.91 tff(3580,plain,
% 37.46/23.91 (v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1))),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3579, 594, 3448])).
% 37.46/23.91 tff(3581,plain,
% 37.46/23.91 (~v123(constB26, bitIndex1)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3580, 3576])).
% 37.46/23.91 tff(3582,plain,
% 37.46/23.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3583,plain,
% 37.46/23.91 (((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1)) <=> ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3584,plain,
% 37.46/23.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26))))),
% 37.46/23.91 inference(monotonicity,[status(thm)],[3583])).
% 37.46/23.91 tff(3585,plain,
% 37.46/23.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 37.46/23.91 inference(transitivity,[status(thm)],[3584, 3582])).
% 37.46/23.91 tff(3586,plain,
% 37.46/23.91 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3587,plain,
% 37.46/23.91 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 37.46/23.91 tff(3588,plain,
% 37.46/23.91 ((~v84(constB26, bitIndex1)) | (~v94(constB26))),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3587, 609, 3581])).
% 37.46/23.91 tff(3589,plain,
% 37.46/23.91 (~v84(constB26, bitIndex1)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3588, 3482])).
% 37.46/23.91 tff(3590,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3591,plain,
% 37.46/23.91 (((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1))) <=> (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3592,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1))))),
% 37.46/23.91 inference(monotonicity,[status(thm)],[3591])).
% 37.46/23.91 tff(3593,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 37.46/23.91 inference(transitivity,[status(thm)],[3592, 3590])).
% 37.46/23.91 tff(3594,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3595,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 37.46/23.91 tff(3596,plain,
% 37.46/23.91 (v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1))),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3595, 228, 3540])).
% 37.46/23.91 tff(3597,plain,
% 37.46/23.91 (v84(constB26, bitIndex1) | (~v84(constB27, bitIndex1))),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3596, 3552])).
% 37.46/23.91 tff(3598,plain,
% 37.46/23.91 (~v84(constB27, bitIndex1)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3597, 3589])).
% 37.46/23.91 tff(3599,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3600,plain,
% 37.46/23.91 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0)) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3601,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)))),
% 37.46/23.91 inference(monotonicity,[status(thm)],[3600])).
% 37.46/23.91 tff(3602,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 37.46/23.91 inference(transitivity,[status(thm)],[3601, 3599])).
% 37.46/23.91 tff(3603,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3604,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3603, 3602])).
% 37.46/23.91 tff(3605,plain,
% 37.46/23.91 (v124(constB25, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3604, 1272, 3506, 3502, 3498, 3494, 3490, 3486])).
% 37.46/23.91 tff(3606,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3607,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3608,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3607, 3606])).
% 37.46/23.91 tff(3609,plain,
% 37.46/23.91 ((~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3608, 1289, 3436])).
% 37.46/23.91 tff(3610,plain,
% 37.46/23.91 (v121(constB25, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3609, 3605])).
% 37.46/23.91 tff(3611,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3612,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3613,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3612, 3611])).
% 37.46/23.91 tff(3614,plain,
% 37.46/23.91 ((~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3613, 1304, 3448])).
% 37.46/23.91 tff(3615,plain,
% 37.46/23.91 (v123(constB26, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3614, 3610])).
% 37.46/23.91 tff(3616,plain,
% 37.46/23.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3617,plain,
% 37.46/23.91 ((v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0))) <=> (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3618,plain,
% 37.46/23.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26))))),
% 37.46/23.91 inference(monotonicity,[status(thm)],[3617])).
% 37.46/23.91 tff(3619,plain,
% 37.46/23.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 37.46/23.91 inference(transitivity,[status(thm)],[3618, 3616])).
% 37.46/23.91 tff(3620,plain,
% 37.46/23.91 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3621,plain,
% 37.46/23.91 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3620, 3619])).
% 37.46/23.91 tff(3622,plain,
% 37.46/23.91 (v84(constB26, bitIndex0) | (~v94(constB26))),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3621, 1319, 3615])).
% 37.46/23.91 tff(3623,plain,
% 37.46/23.91 (v84(constB26, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3622, 3482])).
% 37.46/23.91 tff(3624,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3625,plain,
% 37.46/23.91 (((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0)) <=> ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3626,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0)))),
% 37.46/23.91 inference(monotonicity,[status(thm)],[3625])).
% 37.46/23.91 tff(3627,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 37.46/23.91 inference(transitivity,[status(thm)],[3626, 3624])).
% 37.46/23.91 tff(3628,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3629,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3628, 3627])).
% 37.46/23.91 tff(3630,plain,
% 37.46/23.91 ((~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3629, 1337, 3540])).
% 37.46/23.91 tff(3631,plain,
% 37.46/23.91 ((~v84(constB26, bitIndex0)) | v84(constB27, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3630, 3552])).
% 37.46/23.91 tff(3632,plain,
% 37.46/23.91 (v84(constB27, bitIndex0)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3631, 3623])).
% 37.46/23.91 tff(3633,plain,
% 37.46/23.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3634,plain,
% 37.46/23.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3635,plain,
% 37.46/23.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 37.46/23.91 tff(3636,plain,
% 37.46/23.91 (v145(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3635, 1356, 3632, 3598, 3561])).
% 37.46/23.91 tff(3637,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB27) | (~v145(constB27)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB27) | (~v145(constB27)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3638,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB27) | (~v145(constB27)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3639,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB27) | (~v145(constB27))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3638, 3637])).
% 37.46/23.91 tff(3640,plain,
% 37.46/23.91 (v112(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3639, 1367, 3636])).
% 37.46/23.91 tff(3641,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB27) | (~v112(constB27)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3642,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB27) | (~v112(constB27)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3643,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB27) | (~v112(constB27))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3642, 3641])).
% 37.46/23.91 tff(3644,plain,
% 37.46/23.91 (v111(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3643, 292, 3640])).
% 37.46/23.91 tff(3645,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB27) | (~v111(constB27)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB27) | (~v111(constB27)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3646,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB27) | (~v111(constB27)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3647,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB27) | (~v111(constB27))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 37.46/23.91 tff(3648,plain,
% 37.46/23.91 (v110(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3647, 303, 3644])).
% 37.46/23.91 tff(3649,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB27) | (~v110(constB27)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB27) | (~v110(constB27)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3650,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB27) | (~v110(constB27)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3651,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB27) | (~v110(constB27))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 37.46/23.91 tff(3652,plain,
% 37.46/23.91 (v109(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3651, 314, 3648])).
% 37.46/23.91 tff(3653,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB27) | (~v109(constB27)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB27) | (~v109(constB27)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3654,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB27) | (~v109(constB27)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3655,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB27) | (~v109(constB27))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 37.46/23.91 tff(3656,plain,
% 37.46/23.91 (v108(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3655, 325, 3652])).
% 37.46/23.91 tff(3657,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB27) | (~v108(constB27)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB27) | (~v108(constB27)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3658,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB27) | (~v108(constB27)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3659,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB27) | (~v108(constB27))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3658, 3657])).
% 37.46/23.91 tff(3660,plain,
% 37.46/23.91 (v107(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3659, 336, 3656])).
% 37.46/23.91 tff(3661,assumption,(v71(constB27)), introduced(assumption)).
% 37.46/23.91 tff(3662,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB27))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3663,plain,
% 37.46/23.91 ($false),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3662, 2846, 3661])).
% 37.46/23.91 tff(3664,plain,(~v71(constB27)), inference(lemma,lemma(discharge,[]))).
% 37.46/23.91 tff(3665,assumption,(v18(constB28)), introduced(assumption)).
% 37.46/23.91 tff(3666,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB28))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3667,plain,
% 37.46/23.91 ($false),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3666, 8, 3665])).
% 37.46/23.91 tff(3668,plain,(~v18(constB28)), inference(lemma,lemma(discharge,[]))).
% 37.46/23.91 tff(3669,plain,
% 37.46/23.91 (v1(constB28) <=> v1(constB28)),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3670,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 37.46/23.91 tff(3671,plain,
% 37.46/23.91 (v1(constB28)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 37.46/23.91 tff(3672,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3673,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3674,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 37.46/23.91 tff(3675,plain,
% 37.46/23.91 (v22(constB28)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3674, 21, 3671])).
% 37.46/23.91 tff(3676,plain,
% 37.46/23.91 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB28)) | (~v22(constB28)) | v18(constB28))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB28)) | (~v22(constB28)) | v18(constB28))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3677,plain,
% 37.46/23.91 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB28)) | (~v22(constB28)) | v18(constB28))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3678,plain,
% 37.46/23.91 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB28)) | (~v22(constB28)) | v18(constB28)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 37.46/23.91 tff(3679,plain,
% 37.46/23.91 ((~v19(constB28)) | v18(constB28)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3678, 35, 3675])).
% 37.46/23.91 tff(3680,plain,
% 37.46/23.91 (~v19(constB28)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3679, 3668])).
% 37.46/23.91 tff(3681,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3682,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3683,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 37.46/23.91 tff(3684,plain,
% 37.46/23.91 (v13(constB28)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3683, 50, 3680])).
% 37.46/23.91 tff(3685,plain,
% 37.46/23.91 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3686,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 37.46/23.91 tff(3687,plain,
% 37.46/23.91 (nextState(constB27, constB28)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 37.46/23.91 tff(3688,plain,
% 37.46/23.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3689,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3690,plain,
% 37.46/23.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27)),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3689, 3688])).
% 37.46/23.91 tff(3691,plain,
% 37.46/23.91 ((~v13(constB28)) | v9(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3690, 67, 3687])).
% 37.46/23.91 tff(3692,plain,
% 37.46/23.91 (v9(constB27)),
% 37.46/23.91 inference(unit_resolution,[status(thm)],[3691, 3684])).
% 37.46/23.91 tff(3693,plain,
% 37.46/23.91 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB27) | (~v9(constB27)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB27) | (~v9(constB27)))),
% 37.46/23.91 inference(rewrite,[status(thm)],[])).
% 37.46/23.91 tff(3694,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB27) | (~v9(constB27)))),
% 37.46/23.91 inference(quant_inst,[status(thm)],[])).
% 37.46/23.91 tff(3695,plain,
% 37.46/23.91 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB27) | (~v9(constB27))),
% 37.46/23.91 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 37.46/23.91 tff(3696,plain,
% 37.46/23.91 (v80(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3695, 2805, 3692])).
% 37.46/23.92 tff(3697,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB27) | v78(constB27))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB27) | v78(constB27))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3698,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB27) | v78(constB27))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3699,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB27) | v78(constB27)),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3698, 3697])).
% 37.46/23.92 tff(3700,plain,
% 37.46/23.92 (v78(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3699, 2819, 3537])).
% 37.46/23.92 tff(3701,plain,
% 37.46/23.92 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB27)) | (~v80(constB27)) | v76(constB27))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB27)) | (~v80(constB27)) | v76(constB27))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3702,plain,
% 37.46/23.92 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB27)) | (~v80(constB27)) | v76(constB27))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3703,plain,
% 37.46/23.92 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB27)) | (~v80(constB27)) | v76(constB27)),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 37.46/23.92 tff(3704,plain,
% 37.46/23.92 ((~v80(constB27)) | v76(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3703, 2833, 3700])).
% 37.46/23.92 tff(3705,plain,
% 37.46/23.92 (v76(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3704, 3696])).
% 37.46/23.92 tff(3706,plain,
% 37.46/23.92 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB27)) | (~v76(constB27)) | v71(constB27))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB27)) | (~v76(constB27)) | v71(constB27))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3707,plain,
% 37.46/23.92 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB27)) | (~v76(constB27)) | v71(constB27))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3708,plain,
% 37.46/23.92 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB27)) | (~v76(constB27)) | v71(constB27)),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3707, 3706])).
% 37.46/23.92 tff(3709,plain,
% 37.46/23.92 ((~v72(constB27)) | v71(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3708, 2859, 3705])).
% 37.46/23.92 tff(3710,plain,
% 37.46/23.92 (~v72(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3709, 3664])).
% 37.46/23.92 tff(3711,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB27) | v72(constB27) | v74(constB27))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB27) | v72(constB27) | v74(constB27))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3712,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB27) | v72(constB27) | v74(constB27))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3713,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB27) | v72(constB27) | v74(constB27)),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3712, 3711])).
% 37.46/23.92 tff(3714,plain,
% 37.46/23.92 (v72(constB27) | v74(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3713, 2874, 3537])).
% 37.46/23.92 tff(3715,plain,
% 37.46/23.92 (v74(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3714, 3710])).
% 37.46/23.92 tff(3716,assumption,(v26(constB26)), introduced(assumption)).
% 37.46/23.92 tff(3717,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB26))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3718,plain,
% 37.46/23.92 ($false),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3717, 120, 3716])).
% 37.46/23.92 tff(3719,plain,(~v26(constB26)), inference(lemma,lemma(discharge,[]))).
% 37.46/23.92 tff(3720,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB26, constB27)) | v26(constB26) | (~v66(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB26, constB27)) | v26(constB26) | (~v66(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3721,plain,
% 37.46/23.92 ((v26(constB26) | (~nextState(constB26, constB27)) | (~v66(constB27))) <=> ((~nextState(constB26, constB27)) | v26(constB26) | (~v66(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3722,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB26) | (~nextState(constB26, constB27)) | (~v66(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB26, constB27)) | v26(constB26) | (~v66(constB27))))),
% 37.46/23.92 inference(monotonicity,[status(thm)],[3721])).
% 37.46/23.92 tff(3723,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB26) | (~nextState(constB26, constB27)) | (~v66(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB26, constB27)) | v26(constB26) | (~v66(constB27)))),
% 37.46/23.92 inference(transitivity,[status(thm)],[3722, 3720])).
% 37.46/23.92 tff(3724,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB26) | (~nextState(constB26, constB27)) | (~v66(constB27)))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3725,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB26, constB27)) | v26(constB26) | (~v66(constB27))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 37.46/23.92 tff(3726,plain,
% 37.46/23.92 (v26(constB26) | (~v66(constB27))),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3725, 2726, 3540])).
% 37.46/23.92 tff(3727,plain,
% 37.46/23.92 (~v66(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3726, 3719])).
% 37.46/23.92 tff(3728,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB27) | v64(constB27) | (~v9(constB27)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB27) | v64(constB27) | (~v9(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3729,plain,
% 37.46/23.92 ((v1(constB27) | (~v9(constB27)) | v64(constB27)) <=> (v1(constB27) | v64(constB27) | (~v9(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3730,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v64(constB27))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB27) | v64(constB27) | (~v9(constB27))))),
% 37.46/23.92 inference(monotonicity,[status(thm)],[3729])).
% 37.46/23.92 tff(3731,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v64(constB27))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB27) | v64(constB27) | (~v9(constB27)))),
% 37.46/23.92 inference(transitivity,[status(thm)],[3730, 3728])).
% 37.46/23.92 tff(3732,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v64(constB27))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3733,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB27) | v64(constB27) | (~v9(constB27))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3732, 3731])).
% 37.46/23.92 tff(3734,plain,
% 37.46/23.92 (v64(constB27) | (~v9(constB27))),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3733, 2772, 3537])).
% 37.46/23.92 tff(3735,plain,
% 37.46/23.92 (v64(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3734, 3692])).
% 37.46/23.92 tff(3736,plain,
% 37.46/23.92 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB27)) | v66(constB27) | (~v64(constB27)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB27)) | v66(constB27) | (~v64(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3737,plain,
% 37.46/23.92 (((~v64(constB27)) | (~v60(constB27)) | v66(constB27)) <=> ((~v60(constB27)) | v66(constB27) | (~v64(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3738,plain,
% 37.46/23.92 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB27)) | (~v60(constB27)) | v66(constB27))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB27)) | v66(constB27) | (~v64(constB27))))),
% 37.46/23.92 inference(monotonicity,[status(thm)],[3737])).
% 37.46/23.92 tff(3739,plain,
% 37.46/23.92 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB27)) | (~v60(constB27)) | v66(constB27))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB27)) | v66(constB27) | (~v64(constB27)))),
% 37.46/23.92 inference(transitivity,[status(thm)],[3738, 3736])).
% 37.46/23.92 tff(3740,plain,
% 37.46/23.92 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB27)) | (~v60(constB27)) | v66(constB27))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3741,plain,
% 37.46/23.92 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB27)) | v66(constB27) | (~v64(constB27))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3740, 3739])).
% 37.46/23.92 tff(3742,plain,
% 37.46/23.92 ((~v60(constB27)) | v66(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3741, 2790, 3735])).
% 37.46/23.92 tff(3743,plain,
% 37.46/23.92 (~v60(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3742, 3727])).
% 37.46/23.92 tff(3744,plain,
% 37.46/23.92 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB27) | (~v26(constB27)) | (~v74(constB27)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB27) | (~v26(constB27)) | (~v74(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3745,plain,
% 37.46/23.92 (((~v26(constB27)) | v60(constB27) | (~v74(constB27))) <=> (v60(constB27) | (~v26(constB27)) | (~v74(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3746,plain,
% 37.46/23.92 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB27)) | v60(constB27) | (~v74(constB27)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB27) | (~v26(constB27)) | (~v74(constB27))))),
% 37.46/23.92 inference(monotonicity,[status(thm)],[3745])).
% 37.46/23.92 tff(3747,plain,
% 37.46/23.92 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB27)) | v60(constB27) | (~v74(constB27)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB27) | (~v26(constB27)) | (~v74(constB27)))),
% 37.46/23.92 inference(transitivity,[status(thm)],[3746, 3744])).
% 37.46/23.92 tff(3748,plain,
% 37.46/23.92 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB27)) | v60(constB27) | (~v74(constB27)))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3749,plain,
% 37.46/23.92 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB27) | (~v26(constB27)) | (~v74(constB27))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 37.46/23.92 tff(3750,plain,
% 37.46/23.92 ((~v26(constB27)) | (~v74(constB27))),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3749, 2889, 3743])).
% 37.46/23.92 tff(3751,plain,
% 37.46/23.92 (~v26(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3750, 3715])).
% 37.46/23.92 tff(3752,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | (~v107(constB27)) | v106(constB27))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3753,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3754,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | (~v107(constB27)) | v106(constB27)),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3753, 3752])).
% 37.46/23.92 tff(3755,plain,
% 37.46/23.92 ((~v107(constB27)) | v106(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3754, 350, 3751])).
% 37.46/23.92 tff(3756,plain,
% 37.46/23.92 (v106(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3755, 3660])).
% 37.46/23.92 tff(3757,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB27) | (~v106(constB27)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB27) | (~v106(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3758,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB27) | (~v106(constB27)))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3759,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB27) | (~v106(constB27))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 37.46/23.92 tff(3760,plain,
% 37.46/23.92 (v102(constB27)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3759, 362, 3756])).
% 37.46/23.92 tff(3761,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3762,plain,
% 37.46/23.92 (((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28)) <=> ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3763,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27))))),
% 37.46/23.92 inference(monotonicity,[status(thm)],[3762])).
% 37.46/23.92 tff(3764,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 37.46/23.92 inference(transitivity,[status(thm)],[3763, 3761])).
% 37.46/23.92 tff(3765,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3766,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 37.46/23.92 tff(3767,plain,
% 37.46/23.92 (v104(constB28) | (~v102(constB27))),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3766, 379, 3687])).
% 37.46/23.92 tff(3768,plain,
% 37.46/23.92 (v104(constB28)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3767, 3760])).
% 37.46/23.92 tff(3769,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3770,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3771,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 37.46/23.92 tff(3772,plain,
% 37.46/23.92 (~v98(constB28)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3771, 397, 3687, 3537])).
% 37.46/23.92 tff(3773,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3774,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3775,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB27, constB28)) | v96(constB28) | v98(constB28)),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3774, 3773])).
% 37.46/23.92 tff(3776,plain,
% 37.46/23.92 (v96(constB28) | v98(constB28)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3775, 411, 3687])).
% 37.46/23.92 tff(3777,plain,
% 37.46/23.92 (v96(constB28)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3776, 3772])).
% 37.46/23.92 tff(3778,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3779,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3780,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3779, 3778])).
% 37.46/23.92 tff(3781,plain,
% 37.46/23.92 (v95(constB28) | (~v96(constB28))),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3780, 429, 3687, 3671])).
% 37.46/23.92 tff(3782,plain,
% 37.46/23.92 (v95(constB28)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3781, 3777])).
% 37.46/23.92 tff(3783,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3784,plain,
% 37.46/23.92 (((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28)) <=> ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3785,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28))))),
% 37.46/23.92 inference(monotonicity,[status(thm)],[3784])).
% 37.46/23.92 tff(3786,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 37.46/23.92 inference(transitivity,[status(thm)],[3785, 3783])).
% 37.46/23.92 tff(3787,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3788,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3787, 3786])).
% 37.46/23.92 tff(3789,plain,
% 37.46/23.92 (v94(constB28) | (~v95(constB28)) | (~v104(constB28))),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3788, 444, 3687])).
% 37.46/23.92 tff(3790,plain,
% 37.46/23.92 (v94(constB28) | (~v104(constB28))),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3789, 3782])).
% 37.46/23.92 tff(3791,plain,
% 37.46/23.92 (v94(constB28)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3790, 3768])).
% 37.46/23.92 tff(3792,plain,
% 37.46/23.92 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB27)) | (~v124(constB27, bitIndex2)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3793,plain,
% 37.46/23.92 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex2)))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3794,plain,
% 37.46/23.92 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB27)) | (~v124(constB27, bitIndex2))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 37.46/23.92 tff(3795,plain,
% 37.46/23.92 (~v124(constB27, bitIndex2)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3794, 1451, 3636])).
% 37.46/23.92 tff(3796,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3797,plain,
% 37.46/23.92 ((v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2))) <=> ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3798,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2)))),
% 37.46/23.92 inference(monotonicity,[status(thm)],[3797])).
% 37.46/23.92 tff(3799,plain,
% 37.46/23.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 37.46/23.92 inference(transitivity,[status(thm)],[3798, 3796])).
% 37.46/23.92 tff(3800,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3801,plain,
% 37.46/23.92 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2)),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 37.46/23.92 tff(3802,plain,
% 37.46/23.92 ((~v121(constB27, bitIndex2)) | v124(constB27, bitIndex2)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3801, 1147, 3751])).
% 37.46/23.92 tff(3803,plain,
% 37.46/23.92 (~v121(constB27, bitIndex2)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3802, 3795])).
% 37.46/23.92 tff(3804,plain,
% 37.46/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3805,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))),
% 37.46/23.92 inference(quant_inst,[status(thm)],[])).
% 37.46/23.92 tff(3806,plain,
% 37.46/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2))),
% 37.46/23.92 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 37.46/23.92 tff(3807,plain,
% 37.46/23.92 (v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2))),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3806, 1165, 3687])).
% 37.46/23.92 tff(3808,plain,
% 37.46/23.92 (~v123(constB28, bitIndex2)),
% 37.46/23.92 inference(unit_resolution,[status(thm)],[3807, 3803])).
% 37.46/23.92 tff(3809,plain,
% 37.46/23.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3810,plain,
% 37.46/23.92 (((~v84(constB28, bitIndex2)) | (~v94(constB28)) | v123(constB28, bitIndex2)) <=> ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 37.46/23.92 inference(rewrite,[status(thm)],[])).
% 37.46/23.92 tff(3811,plain,
% 37.46/23.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | (~v94(constB28)) | v123(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28))))),
% 37.54/23.92 inference(monotonicity,[status(thm)],[3810])).
% 37.54/23.92 tff(3812,plain,
% 37.54/23.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | (~v94(constB28)) | v123(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 37.54/23.92 inference(transitivity,[status(thm)],[3811, 3809])).
% 37.54/23.92 tff(3813,plain,
% 37.54/23.92 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | (~v94(constB28)) | v123(constB28, bitIndex2))),
% 37.54/23.92 inference(quant_inst,[status(thm)],[])).
% 37.54/23.92 tff(3814,plain,
% 37.54/23.92 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28))),
% 37.54/23.92 inference(modus_ponens,[status(thm)],[3813, 3812])).
% 37.54/23.92 tff(3815,plain,
% 37.54/23.92 ((~v84(constB28, bitIndex2)) | (~v94(constB28))),
% 37.54/23.92 inference(unit_resolution,[status(thm)],[3814, 1180, 3808])).
% 37.54/23.92 tff(3816,plain,
% 37.54/23.92 (~v84(constB28, bitIndex2)),
% 37.54/23.92 inference(unit_resolution,[status(thm)],[3815, 3791])).
% 37.54/23.92 tff(3817,plain,
% 37.54/23.92 ((~v1(constB29)) <=> (~v1(constB29))),
% 37.54/23.92 inference(rewrite,[status(thm)],[])).
% 37.54/23.92 tff(3818,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 37.54/23.92 tff(3819,plain,
% 37.54/23.92 (~v1(constB29)),
% 37.54/23.92 inference(modus_ponens,[status(thm)],[3818, 3817])).
% 37.54/23.92 tff(3820,plain,
% 37.54/23.92 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 37.54/23.92 inference(rewrite,[status(thm)],[])).
% 37.54/23.92 tff(3821,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 37.54/23.92 tff(3822,plain,
% 37.54/23.92 (nextState(constB28, constB29)),
% 37.54/23.92 inference(modus_ponens,[status(thm)],[3821, 3820])).
% 37.54/23.92 tff(3823,plain,
% 37.54/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 37.54/23.92 inference(rewrite,[status(thm)],[])).
% 37.54/23.92 tff(3824,plain,
% 37.54/23.92 (((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 37.54/23.92 inference(rewrite,[status(thm)],[])).
% 37.54/23.92 tff(3825,plain,
% 37.54/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29))))),
% 37.54/23.92 inference(monotonicity,[status(thm)],[3824])).
% 37.54/23.92 tff(3826,plain,
% 37.54/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 37.54/23.92 inference(transitivity,[status(thm)],[3825, 3823])).
% 37.54/23.92 tff(3827,plain,
% 37.54/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))),
% 37.54/23.92 inference(quant_inst,[status(thm)],[])).
% 37.54/23.92 tff(3828,plain,
% 37.54/23.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29))),
% 37.54/23.92 inference(modus_ponens,[status(thm)],[3827, 3826])).
% 37.54/23.92 tff(3829,plain,
% 37.54/23.92 (~v95(constB29)),
% 37.54/23.92 inference(unit_resolution,[status(thm)],[3828, 175, 3822, 3819])).
% 37.54/23.92 tff(3830,plain,
% 37.54/23.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3831,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3832,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29))),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 37.54/23.93 tff(3833,plain,
% 37.54/23.93 (v95(constB29) | (~v94(constB29))),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3832, 192, 3822])).
% 37.54/23.93 tff(3834,plain,
% 37.54/23.93 (~v94(constB29)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3833, 3829])).
% 37.54/23.93 tff(3835,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3836,plain,
% 37.54/23.93 (((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2))) <=> (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3837,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2))))),
% 37.54/23.93 inference(monotonicity,[status(thm)],[3836])).
% 37.54/23.93 tff(3838,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 37.54/23.93 inference(transitivity,[status(thm)],[3837, 3835])).
% 37.54/23.93 tff(3839,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3840,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2))),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 37.54/23.93 tff(3841,plain,
% 37.54/23.93 (v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2))),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3840, 207, 3822])).
% 37.54/23.93 tff(3842,plain,
% 37.54/23.93 (v84(constB28, bitIndex2) | (~v84(constB29, bitIndex2))),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3841, 3834])).
% 37.54/23.93 tff(3843,plain,
% 37.54/23.93 (~v84(constB29, bitIndex2)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3842, 3816])).
% 37.54/23.93 tff(3844,plain,
% 37.54/23.93 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB27)) | v124(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB27)) | v124(constB27, bitIndex1))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3845,plain,
% 37.54/23.93 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB27)) | v124(constB27, bitIndex1))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3846,plain,
% 37.54/23.93 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB27)) | v124(constB27, bitIndex1)),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3845, 3844])).
% 37.54/23.93 tff(3847,plain,
% 37.54/23.93 (v124(constB27, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3846, 1513, 3636])).
% 37.54/23.93 tff(3848,plain,
% 37.54/23.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3849,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3850,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1)),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3849, 3848])).
% 37.54/23.93 tff(3851,plain,
% 37.54/23.93 ((~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3850, 875, 3751])).
% 37.54/23.93 tff(3852,plain,
% 37.54/23.93 (v121(constB27, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3851, 3847])).
% 37.54/23.93 tff(3853,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3854,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3855,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1)),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3854, 3853])).
% 37.54/23.93 tff(3856,plain,
% 37.54/23.93 ((~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3855, 890, 3687])).
% 37.54/23.93 tff(3857,plain,
% 37.54/23.93 (v123(constB28, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3856, 3852])).
% 37.54/23.93 tff(3858,plain,
% 37.54/23.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3859,plain,
% 37.54/23.93 ((v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1))) <=> (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3860,plain,
% 37.54/23.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28))))),
% 37.54/23.93 inference(monotonicity,[status(thm)],[3859])).
% 37.54/23.93 tff(3861,plain,
% 37.54/23.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 37.54/23.93 inference(transitivity,[status(thm)],[3860, 3858])).
% 37.54/23.93 tff(3862,plain,
% 37.54/23.93 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3863,plain,
% 37.54/23.93 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28))),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3862, 3861])).
% 37.54/23.93 tff(3864,plain,
% 37.54/23.93 (v84(constB28, bitIndex1) | (~v94(constB28))),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3863, 905, 3857])).
% 37.54/23.93 tff(3865,plain,
% 37.54/23.93 (v84(constB28, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3864, 3791])).
% 37.54/23.93 tff(3866,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3867,plain,
% 37.54/23.93 (((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1)) <=> ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3868,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1)))),
% 37.54/23.93 inference(monotonicity,[status(thm)],[3867])).
% 37.54/23.93 tff(3869,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 37.54/23.93 inference(transitivity,[status(thm)],[3868, 3866])).
% 37.54/23.93 tff(3870,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3871,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1)),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 37.54/23.93 tff(3872,plain,
% 37.54/23.93 ((~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3871, 923, 3822])).
% 37.54/23.93 tff(3873,plain,
% 37.54/23.93 ((~v84(constB28, bitIndex1)) | v84(constB29, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3872, 3834])).
% 37.54/23.93 tff(3874,plain,
% 37.54/23.93 (v84(constB29, bitIndex1)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3873, 3865])).
% 37.54/23.93 tff(3875,plain,
% 37.54/23.93 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB27)) | (~v124(constB27, bitIndex0)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3876,plain,
% 37.54/23.93 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex0)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3877,plain,
% 37.54/23.93 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB27)) | (~v124(constB27, bitIndex0))),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 37.54/23.93 tff(3878,plain,
% 37.54/23.93 (~v124(constB27, bitIndex0)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3877, 1554, 3636])).
% 37.54/23.93 tff(3879,plain,
% 37.54/23.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3880,plain,
% 37.54/23.93 ((v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0))) <=> ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3881,plain,
% 37.54/23.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0)))),
% 37.54/23.93 inference(monotonicity,[status(thm)],[3880])).
% 37.54/23.93 tff(3882,plain,
% 37.54/23.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 37.54/23.93 inference(transitivity,[status(thm)],[3881, 3879])).
% 37.54/23.93 tff(3883,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3884,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0)),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 37.54/23.93 tff(3885,plain,
% 37.54/23.93 ((~v121(constB27, bitIndex0)) | v124(constB27, bitIndex0)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3884, 650, 3751])).
% 37.54/23.93 tff(3886,plain,
% 37.54/23.93 (~v121(constB27, bitIndex0)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3885, 3878])).
% 37.54/23.93 tff(3887,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3888,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3889,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0))),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 37.54/23.93 tff(3890,plain,
% 37.54/23.93 (v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0))),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3889, 668, 3687])).
% 37.54/23.93 tff(3891,plain,
% 37.54/23.93 (~v123(constB28, bitIndex0)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3890, 3886])).
% 37.54/23.93 tff(3892,plain,
% 37.54/23.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3893,plain,
% 37.54/23.93 (((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0)) <=> ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3894,plain,
% 37.54/23.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28))))),
% 37.54/23.93 inference(monotonicity,[status(thm)],[3893])).
% 37.54/23.93 tff(3895,plain,
% 37.54/23.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 37.54/23.93 inference(transitivity,[status(thm)],[3894, 3892])).
% 37.54/23.93 tff(3896,plain,
% 37.54/23.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3897,plain,
% 37.54/23.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28))),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 37.54/23.93 tff(3898,plain,
% 37.54/23.93 ((~v84(constB28, bitIndex0)) | (~v94(constB28))),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3897, 683, 3891])).
% 37.54/23.93 tff(3899,plain,
% 37.54/23.93 (~v84(constB28, bitIndex0)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3898, 3791])).
% 37.54/23.93 tff(3900,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3901,plain,
% 37.54/23.93 (((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0))) <=> (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3902,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0))))),
% 37.54/23.93 inference(monotonicity,[status(thm)],[3901])).
% 37.54/23.93 tff(3903,plain,
% 37.54/23.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 37.54/23.93 inference(transitivity,[status(thm)],[3902, 3900])).
% 37.54/23.93 tff(3904,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3905,plain,
% 37.54/23.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0))),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3904, 3903])).
% 37.54/23.93 tff(3906,plain,
% 37.54/23.93 (v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0))),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3905, 249, 3822])).
% 37.54/23.93 tff(3907,plain,
% 37.54/23.93 (v84(constB28, bitIndex0) | (~v84(constB29, bitIndex0))),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3906, 3834])).
% 37.54/23.93 tff(3908,plain,
% 37.54/23.93 (~v84(constB29, bitIndex0)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3907, 3899])).
% 37.54/23.93 tff(3909,plain,
% 37.54/23.93 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3910,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3911,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29)),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3910, 3909])).
% 37.54/23.93 tff(3912,plain,
% 37.54/23.93 (v115(constB29)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3911, 1598, 3908, 3874, 3843])).
% 37.54/23.93 tff(3913,plain,
% 37.54/23.93 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB29) | (~v115(constB29)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3914,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB29) | (~v115(constB29)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3915,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB29) | (~v115(constB29))),
% 37.54/23.93 inference(modus_ponens,[status(thm)],[3914, 3913])).
% 37.54/23.93 tff(3916,plain,
% 37.54/23.93 (v111(constB29)),
% 37.54/23.93 inference(unit_resolution,[status(thm)],[3915, 1609, 3912])).
% 37.54/23.93 tff(3917,plain,
% 37.54/23.93 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB29) | (~v111(constB29)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB29) | (~v111(constB29)))),
% 37.54/23.93 inference(rewrite,[status(thm)],[])).
% 37.54/23.93 tff(3918,plain,
% 37.54/23.93 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB29) | (~v111(constB29)))),
% 37.54/23.93 inference(quant_inst,[status(thm)],[])).
% 37.54/23.93 tff(3919,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB29) | (~v111(constB29))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3918, 3917])).
% 37.54/23.94 tff(3920,plain,
% 37.54/23.94 (v110(constB29)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3919, 303, 3916])).
% 37.54/23.94 tff(3921,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB29) | (~v110(constB29)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB29) | (~v110(constB29)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3922,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB29) | (~v110(constB29)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3923,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB29) | (~v110(constB29))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3922, 3921])).
% 37.54/23.94 tff(3924,plain,
% 37.54/23.94 (v109(constB29)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3923, 314, 3920])).
% 37.54/23.94 tff(3925,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB29) | (~v109(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB29) | (~v109(constB29)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3926,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB29) | (~v109(constB29)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3927,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB29) | (~v109(constB29))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3926, 3925])).
% 37.54/23.94 tff(3928,plain,
% 37.54/23.94 (v108(constB29)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3927, 325, 3924])).
% 37.54/23.94 tff(3929,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB29) | (~v108(constB29)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB29) | (~v108(constB29)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3930,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB29) | (~v108(constB29)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3931,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB29) | (~v108(constB29))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 37.54/23.94 tff(3932,plain,
% 37.54/23.94 (v107(constB29)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3931, 336, 3928])).
% 37.54/23.94 tff(3933,assumption,(v26(constB29)), introduced(assumption)).
% 37.54/23.94 tff(3934,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3935,plain,
% 37.54/23.94 ($false),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3934, 120, 3933])).
% 37.54/23.94 tff(3936,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 37.54/23.94 tff(3937,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | v106(constB29) | (~v107(constB29)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3938,plain,
% 37.54/23.94 ((v26(constB29) | (~v107(constB29)) | v106(constB29)) <=> (v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3939,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | v106(constB29) | (~v107(constB29))))),
% 37.54/23.94 inference(monotonicity,[status(thm)],[3938])).
% 37.54/23.94 tff(3940,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 37.54/23.94 inference(transitivity,[status(thm)],[3939, 3937])).
% 37.54/23.94 tff(3941,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3942,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3941, 3940])).
% 37.54/23.94 tff(3943,plain,
% 37.54/23.94 (v106(constB29) | (~v107(constB29))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3942, 350, 3936])).
% 37.54/23.94 tff(3944,plain,
% 37.54/23.94 (v106(constB29)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3943, 3932])).
% 37.54/23.94 tff(3945,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB29) | (~v106(constB29)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB29) | (~v106(constB29)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3946,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB29) | (~v106(constB29)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3947,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB29) | (~v106(constB29))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3946, 3945])).
% 37.54/23.94 tff(3948,plain,
% 37.54/23.94 (v102(constB29)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3947, 362, 3944])).
% 37.54/23.94 tff(3949,plain,
% 37.54/23.94 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3950,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 37.54/23.94 tff(3951,plain,
% 37.54/23.94 (nextState(constB29, constB30)),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3950, 3949])).
% 37.54/23.94 tff(3952,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3953,plain,
% 37.54/23.94 (((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30)) <=> ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3954,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29))))),
% 37.54/23.94 inference(monotonicity,[status(thm)],[3953])).
% 37.54/23.94 tff(3955,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 37.54/23.94 inference(transitivity,[status(thm)],[3954, 3952])).
% 37.54/23.94 tff(3956,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3957,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3956, 3955])).
% 37.54/23.94 tff(3958,plain,
% 37.54/23.94 (v104(constB30) | (~v102(constB29))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3957, 379, 3951])).
% 37.54/23.94 tff(3959,plain,
% 37.54/23.94 (v104(constB30)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3958, 3948])).
% 37.54/23.94 tff(3960,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3961,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3962,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 37.54/23.94 tff(3963,plain,
% 37.54/23.94 (~v98(constB30)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3962, 397, 3951, 3819])).
% 37.54/23.94 tff(3964,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3965,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3966,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB29, constB30)) | v96(constB30) | v98(constB30)),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3965, 3964])).
% 37.54/23.94 tff(3967,plain,
% 37.54/23.94 (v96(constB30) | v98(constB30)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3966, 411, 3951])).
% 37.54/23.94 tff(3968,plain,
% 37.54/23.94 (v96(constB30)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3967, 3963])).
% 37.54/23.94 tff(3969,plain,
% 37.54/23.94 (v1(constB30) <=> v1(constB30)),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3970,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 37.54/23.94 tff(3971,plain,
% 37.54/23.94 (v1(constB30)),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3970, 3969])).
% 37.54/23.94 tff(3972,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3973,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3974,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3973, 3972])).
% 37.54/23.94 tff(3975,plain,
% 37.54/23.94 (v95(constB30) | (~v96(constB30))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3974, 429, 3951, 3971])).
% 37.54/23.94 tff(3976,plain,
% 37.54/23.94 (v95(constB30)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3975, 3968])).
% 37.54/23.94 tff(3977,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3978,plain,
% 37.54/23.94 (((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30)) <=> ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3979,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30))))),
% 37.54/23.94 inference(monotonicity,[status(thm)],[3978])).
% 37.54/23.94 tff(3980,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 37.54/23.94 inference(transitivity,[status(thm)],[3979, 3977])).
% 37.54/23.94 tff(3981,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3982,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3981, 3980])).
% 37.54/23.94 tff(3983,plain,
% 37.54/23.94 (v94(constB30) | (~v95(constB30)) | (~v104(constB30))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3982, 444, 3951])).
% 37.54/23.94 tff(3984,plain,
% 37.54/23.94 (v94(constB30) | (~v104(constB30))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3983, 3976])).
% 37.54/23.94 tff(3985,plain,
% 37.54/23.94 (v94(constB30)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3984, 3959])).
% 37.54/23.94 tff(3986,plain,
% 37.54/23.94 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB29)) | (~v124(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB29)) | (~v124(constB29, bitIndex2)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3987,plain,
% 37.54/23.94 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB29)) | (~v124(constB29, bitIndex2)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3988,plain,
% 37.54/23.94 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB29)) | (~v124(constB29, bitIndex2))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 37.54/23.94 tff(3989,plain,
% 37.54/23.94 (~v124(constB29, bitIndex2)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3988, 1688, 3912])).
% 37.54/23.94 tff(3990,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3991,plain,
% 37.54/23.94 ((v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2))) <=> ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3992,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2)))),
% 37.54/23.94 inference(monotonicity,[status(thm)],[3991])).
% 37.54/23.94 tff(3993,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 37.54/23.94 inference(transitivity,[status(thm)],[3992, 3990])).
% 37.54/23.94 tff(3994,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(3995,plain,
% 37.54/23.94 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2)),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3994, 3993])).
% 37.54/23.94 tff(3996,plain,
% 37.54/23.94 ((~v121(constB29, bitIndex2)) | v124(constB29, bitIndex2)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3995, 1147, 3936])).
% 37.54/23.94 tff(3997,plain,
% 37.54/23.94 (~v121(constB29, bitIndex2)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[3996, 3989])).
% 37.54/23.94 tff(3998,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(3999,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(4000,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[3999, 3998])).
% 37.54/23.94 tff(4001,plain,
% 37.54/23.94 (v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4000, 1165, 3951])).
% 37.54/23.94 tff(4002,plain,
% 37.54/23.94 (~v123(constB30, bitIndex2)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4001, 3997])).
% 37.54/23.94 tff(4003,plain,
% 37.54/23.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4004,plain,
% 37.54/23.94 (((~v84(constB30, bitIndex2)) | (~v94(constB30)) | v123(constB30, bitIndex2)) <=> ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4005,plain,
% 37.54/23.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | (~v94(constB30)) | v123(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30))))),
% 37.54/23.94 inference(monotonicity,[status(thm)],[4004])).
% 37.54/23.94 tff(4006,plain,
% 37.54/23.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | (~v94(constB30)) | v123(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 37.54/23.94 inference(transitivity,[status(thm)],[4005, 4003])).
% 37.54/23.94 tff(4007,plain,
% 37.54/23.94 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | (~v94(constB30)) | v123(constB30, bitIndex2))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(4008,plain,
% 37.54/23.94 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 37.54/23.94 tff(4009,plain,
% 37.54/23.94 ((~v84(constB30, bitIndex2)) | (~v94(constB30))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4008, 1180, 4002])).
% 37.54/23.94 tff(4010,plain,
% 37.54/23.94 (~v84(constB30, bitIndex2)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4009, 3985])).
% 37.54/23.94 tff(4011,plain,
% 37.54/23.94 ((~v1(constB31)) <=> (~v1(constB31))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4012,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 37.54/23.94 tff(4013,plain,
% 37.54/23.94 (~v1(constB31)),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 37.54/23.94 tff(4014,plain,
% 37.54/23.94 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4015,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 37.54/23.94 tff(4016,plain,
% 37.54/23.94 (nextState(constB30, constB31)),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[4015, 4014])).
% 37.54/23.94 tff(4017,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4018,plain,
% 37.54/23.94 (((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4019,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31))))),
% 37.54/23.94 inference(monotonicity,[status(thm)],[4018])).
% 37.54/23.94 tff(4020,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 37.54/23.94 inference(transitivity,[status(thm)],[4019, 4017])).
% 37.54/23.94 tff(4021,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(4022,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[4021, 4020])).
% 37.54/23.94 tff(4023,plain,
% 37.54/23.94 (~v95(constB31)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4022, 175, 4016, 4013])).
% 37.54/23.94 tff(4024,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4025,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(4026,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[4025, 4024])).
% 37.54/23.94 tff(4027,plain,
% 37.54/23.94 (v95(constB31) | (~v94(constB31))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4026, 192, 4016])).
% 37.54/23.94 tff(4028,plain,
% 37.54/23.94 (~v94(constB31)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4027, 4023])).
% 37.54/23.94 tff(4029,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4030,plain,
% 37.54/23.94 (((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2))) <=> (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4031,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2))))),
% 37.54/23.94 inference(monotonicity,[status(thm)],[4030])).
% 37.54/23.94 tff(4032,plain,
% 37.54/23.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 37.54/23.94 inference(transitivity,[status(thm)],[4031, 4029])).
% 37.54/23.94 tff(4033,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(4034,plain,
% 37.54/23.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2))),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[4033, 4032])).
% 37.54/23.94 tff(4035,plain,
% 37.54/23.94 (v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4034, 207, 4016])).
% 37.54/23.94 tff(4036,plain,
% 37.54/23.94 (v84(constB30, bitIndex2) | (~v84(constB31, bitIndex2))),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4035, 4028])).
% 37.54/23.94 tff(4037,plain,
% 37.54/23.94 (~v84(constB31, bitIndex2)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4036, 4010])).
% 37.54/23.94 tff(4038,plain,
% 37.54/23.94 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB29)) | v124(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB29)) | v124(constB29, bitIndex1))),
% 37.54/23.94 inference(rewrite,[status(thm)],[])).
% 37.54/23.94 tff(4039,plain,
% 37.54/23.94 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB29)) | v124(constB29, bitIndex1))),
% 37.54/23.94 inference(quant_inst,[status(thm)],[])).
% 37.54/23.94 tff(4040,plain,
% 37.54/23.94 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB29)) | v124(constB29, bitIndex1)),
% 37.54/23.94 inference(modus_ponens,[status(thm)],[4039, 4038])).
% 37.54/23.94 tff(4041,plain,
% 37.54/23.94 (v124(constB29, bitIndex1)),
% 37.54/23.94 inference(unit_resolution,[status(thm)],[4040, 1750, 3912])).
% 37.54/23.94 tff(4042,plain,
% 37.54/23.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4043,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4044,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 37.54/23.95 tff(4045,plain,
% 37.54/23.95 ((~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4044, 875, 3936])).
% 37.54/23.95 tff(4046,plain,
% 37.54/23.95 (v121(constB29, bitIndex1)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4045, 4041])).
% 37.54/23.95 tff(4047,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4048,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4049,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4048, 4047])).
% 37.54/23.95 tff(4050,plain,
% 37.54/23.95 ((~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4049, 890, 3951])).
% 37.54/23.95 tff(4051,plain,
% 37.54/23.95 (v123(constB30, bitIndex1)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4050, 4046])).
% 37.54/23.95 tff(4052,plain,
% 37.54/23.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4053,plain,
% 37.54/23.95 ((v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1))) <=> (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4054,plain,
% 37.54/23.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30))))),
% 37.54/23.95 inference(monotonicity,[status(thm)],[4053])).
% 37.54/23.95 tff(4055,plain,
% 37.54/23.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 37.54/23.95 inference(transitivity,[status(thm)],[4054, 4052])).
% 37.54/23.95 tff(4056,plain,
% 37.54/23.95 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4057,plain,
% 37.54/23.95 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 37.54/23.95 tff(4058,plain,
% 37.54/23.95 (v84(constB30, bitIndex1) | (~v94(constB30))),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4057, 905, 4051])).
% 37.54/23.95 tff(4059,plain,
% 37.54/23.95 (v84(constB30, bitIndex1)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4058, 3985])).
% 37.54/23.95 tff(4060,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4061,plain,
% 37.54/23.95 (((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1)) <=> ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4062,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1)))),
% 37.54/23.95 inference(monotonicity,[status(thm)],[4061])).
% 37.54/23.95 tff(4063,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 37.54/23.95 inference(transitivity,[status(thm)],[4062, 4060])).
% 37.54/23.95 tff(4064,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4065,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 37.54/23.95 tff(4066,plain,
% 37.54/23.95 ((~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4065, 923, 4016])).
% 37.54/23.95 tff(4067,plain,
% 37.54/23.95 ((~v84(constB30, bitIndex1)) | v84(constB31, bitIndex1)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4066, 4028])).
% 37.54/23.95 tff(4068,plain,
% 37.54/23.95 (v84(constB31, bitIndex1)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4067, 4059])).
% 37.54/23.95 tff(4069,plain,
% 37.54/23.95 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB29)) | v124(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB29)) | v124(constB29, bitIndex0))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4070,plain,
% 37.54/23.95 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB29)) | v124(constB29, bitIndex0))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4071,plain,
% 37.54/23.95 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB29)) | v124(constB29, bitIndex0)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 37.54/23.95 tff(4072,plain,
% 37.54/23.95 (v124(constB29, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4071, 1791, 3912])).
% 37.54/23.95 tff(4073,plain,
% 37.54/23.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4074,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4075,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 37.54/23.95 tff(4076,plain,
% 37.54/23.95 ((~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4075, 1289, 3936])).
% 37.54/23.95 tff(4077,plain,
% 37.54/23.95 (v121(constB29, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4076, 4072])).
% 37.54/23.95 tff(4078,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4079,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4080,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 37.54/23.95 tff(4081,plain,
% 37.54/23.95 ((~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4080, 1304, 3951])).
% 37.54/23.95 tff(4082,plain,
% 37.54/23.95 (v123(constB30, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4081, 4077])).
% 37.54/23.95 tff(4083,plain,
% 37.54/23.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4084,plain,
% 37.54/23.95 ((v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0))) <=> (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4085,plain,
% 37.54/23.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30))))),
% 37.54/23.95 inference(monotonicity,[status(thm)],[4084])).
% 37.54/23.95 tff(4086,plain,
% 37.54/23.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 37.54/23.95 inference(transitivity,[status(thm)],[4085, 4083])).
% 37.54/23.95 tff(4087,plain,
% 37.54/23.95 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4088,plain,
% 37.54/23.95 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 37.54/23.95 tff(4089,plain,
% 37.54/23.95 (v84(constB30, bitIndex0) | (~v94(constB30))),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4088, 1319, 4082])).
% 37.54/23.95 tff(4090,plain,
% 37.54/23.95 (v84(constB30, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4089, 3985])).
% 37.54/23.95 tff(4091,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4092,plain,
% 37.54/23.95 (((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0)) <=> ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4093,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0)))),
% 37.54/23.95 inference(monotonicity,[status(thm)],[4092])).
% 37.54/23.95 tff(4094,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 37.54/23.95 inference(transitivity,[status(thm)],[4093, 4091])).
% 37.54/23.95 tff(4095,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4096,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 37.54/23.95 tff(4097,plain,
% 37.54/23.95 ((~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4096, 1337, 4016])).
% 37.54/23.95 tff(4098,plain,
% 37.54/23.95 ((~v84(constB30, bitIndex0)) | v84(constB31, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4097, 4028])).
% 37.54/23.95 tff(4099,plain,
% 37.54/23.95 (v84(constB31, bitIndex0)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4098, 4090])).
% 37.54/23.95 tff(4100,plain,
% 37.54/23.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4101,plain,
% 37.54/23.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4102,plain,
% 37.54/23.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4101, 4100])).
% 37.54/23.95 tff(4103,plain,
% 37.54/23.95 (v116(constB31)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4102, 1832, 4099, 4068, 4037])).
% 37.54/23.95 tff(4104,plain,
% 37.54/23.95 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB31) | (~v116(constB31)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4105,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB31) | (~v116(constB31)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4106,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB31) | (~v116(constB31))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4105, 4104])).
% 37.54/23.95 tff(4107,plain,
% 37.54/23.95 (v110(constB31)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4106, 1843, 4103])).
% 37.54/23.95 tff(4108,plain,
% 37.54/23.95 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB31) | (~v110(constB31)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB31) | (~v110(constB31)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4109,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB31) | (~v110(constB31)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4110,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB31) | (~v110(constB31))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 37.54/23.95 tff(4111,plain,
% 37.54/23.95 (v109(constB31)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4110, 314, 4107])).
% 37.54/23.95 tff(4112,plain,
% 37.54/23.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB31) | (~v109(constB31)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB31) | (~v109(constB31)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4113,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB31) | (~v109(constB31)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4114,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB31) | (~v109(constB31))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4113, 4112])).
% 37.54/23.95 tff(4115,plain,
% 37.54/23.95 (v108(constB31)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4114, 325, 4111])).
% 37.54/23.95 tff(4116,plain,
% 37.54/23.95 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB31) | (~v108(constB31)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB31) | (~v108(constB31)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4117,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB31) | (~v108(constB31)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4118,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB31) | (~v108(constB31))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4117, 4116])).
% 37.54/23.95 tff(4119,plain,
% 37.54/23.95 (v107(constB31)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4118, 336, 4115])).
% 37.54/23.95 tff(4120,assumption,(v26(constB31)), introduced(assumption)).
% 37.54/23.95 tff(4121,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4122,plain,
% 37.54/23.95 ($false),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4121, 120, 4120])).
% 37.54/23.95 tff(4123,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 37.54/23.95 tff(4124,plain,
% 37.54/23.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | (~v107(constB31)) | v106(constB31))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4125,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4126,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | (~v107(constB31)) | v106(constB31)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4125, 4124])).
% 37.54/23.95 tff(4127,plain,
% 37.54/23.95 ((~v107(constB31)) | v106(constB31)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4126, 350, 4123])).
% 37.54/23.95 tff(4128,plain,
% 37.54/23.95 (v106(constB31)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4127, 4119])).
% 37.54/23.95 tff(4129,plain,
% 37.54/23.95 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB31) | (~v106(constB31)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB31) | (~v106(constB31)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4130,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB31) | (~v106(constB31)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4131,plain,
% 37.54/23.95 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB31) | (~v106(constB31))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 37.54/23.95 tff(4132,plain,
% 37.54/23.95 (v102(constB31)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4131, 362, 4128])).
% 37.54/23.95 tff(4133,plain,
% 37.54/23.95 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4134,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 37.54/23.95 tff(4135,plain,
% 37.54/23.95 (nextState(constB31, constB32)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 37.54/23.95 tff(4136,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4137,plain,
% 37.54/23.95 (((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32)) <=> ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4138,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31))))),
% 37.54/23.95 inference(monotonicity,[status(thm)],[4137])).
% 37.54/23.95 tff(4139,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 37.54/23.95 inference(transitivity,[status(thm)],[4138, 4136])).
% 37.54/23.95 tff(4140,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4141,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4140, 4139])).
% 37.54/23.95 tff(4142,plain,
% 37.54/23.95 (v104(constB32) | (~v102(constB31))),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4141, 379, 4135])).
% 37.54/23.95 tff(4143,plain,
% 37.54/23.95 (v104(constB32)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4142, 4132])).
% 37.54/23.95 tff(4144,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4145,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4146,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4145, 4144])).
% 37.54/23.95 tff(4147,plain,
% 37.54/23.95 (~v98(constB32)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4146, 397, 4135, 4013])).
% 37.54/23.95 tff(4148,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4149,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4150,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB31, constB32)) | v96(constB32) | v98(constB32)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4149, 4148])).
% 37.54/23.95 tff(4151,plain,
% 37.54/23.95 (v96(constB32) | v98(constB32)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4150, 411, 4135])).
% 37.54/23.95 tff(4152,plain,
% 37.54/23.95 (v96(constB32)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4151, 4147])).
% 37.54/23.95 tff(4153,plain,
% 37.54/23.95 (v1(constB32) <=> v1(constB32)),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4154,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 37.54/23.95 tff(4155,plain,
% 37.54/23.95 (v1(constB32)),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 37.54/23.95 tff(4156,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))),
% 37.54/23.95 inference(rewrite,[status(thm)],[])).
% 37.54/23.95 tff(4157,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))),
% 37.54/23.95 inference(quant_inst,[status(thm)],[])).
% 37.54/23.95 tff(4158,plain,
% 37.54/23.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32))),
% 37.54/23.95 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 37.54/23.95 tff(4159,plain,
% 37.54/23.95 (v95(constB32) | (~v96(constB32))),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4158, 429, 4135, 4155])).
% 37.54/23.95 tff(4160,plain,
% 37.54/23.95 (v95(constB32)),
% 37.54/23.95 inference(unit_resolution,[status(thm)],[4159, 4152])).
% 37.54/23.95 tff(4161,plain,
% 37.54/23.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4162,plain,
% 37.54/23.96 (((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32)) <=> ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4163,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32))))),
% 37.54/23.96 inference(monotonicity,[status(thm)],[4162])).
% 37.54/23.96 tff(4164,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 37.54/23.96 inference(transitivity,[status(thm)],[4163, 4161])).
% 37.54/23.96 tff(4165,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4166,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 37.54/23.96 tff(4167,plain,
% 37.54/23.96 (v94(constB32) | (~v95(constB32)) | (~v104(constB32))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4166, 444, 4135])).
% 37.54/23.96 tff(4168,plain,
% 37.54/23.96 (v94(constB32) | (~v104(constB32))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4167, 4160])).
% 37.54/23.96 tff(4169,plain,
% 37.54/23.96 (v94(constB32)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4168, 4143])).
% 37.54/23.96 tff(4170,plain,
% 37.54/23.96 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB31)) | v124(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB31)) | v124(constB31, bitIndex2))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4171,plain,
% 37.54/23.96 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB31)) | v124(constB31, bitIndex2))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4172,plain,
% 37.54/23.96 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB31)) | v124(constB31, bitIndex2)),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4171, 4170])).
% 37.54/23.96 tff(4173,plain,
% 37.54/23.96 (v124(constB31, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4172, 1918, 4103])).
% 37.54/23.96 tff(4174,plain,
% 37.54/23.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4175,plain,
% 37.54/23.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4176,plain,
% 37.54/23.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2)),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4175, 4174])).
% 37.54/23.96 tff(4177,plain,
% 37.54/23.96 ((~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4176, 477, 4123])).
% 37.54/23.96 tff(4178,plain,
% 37.54/23.96 (v121(constB31, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4177, 4173])).
% 37.54/23.96 tff(4179,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4180,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4181,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2)),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 37.54/23.96 tff(4182,plain,
% 37.54/23.96 ((~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4181, 492, 4135])).
% 37.54/23.96 tff(4183,plain,
% 37.54/23.96 (v123(constB32, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4182, 4178])).
% 37.54/23.96 tff(4184,plain,
% 37.54/23.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4185,plain,
% 37.54/23.96 ((v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2))) <=> (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4186,plain,
% 37.54/23.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32))))),
% 37.54/23.96 inference(monotonicity,[status(thm)],[4185])).
% 37.54/23.96 tff(4187,plain,
% 37.54/23.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 37.54/23.96 inference(transitivity,[status(thm)],[4186, 4184])).
% 37.54/23.96 tff(4188,plain,
% 37.54/23.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4189,plain,
% 37.54/23.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4188, 4187])).
% 37.54/23.96 tff(4190,plain,
% 37.54/23.96 (v84(constB32, bitIndex2) | (~v94(constB32))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4189, 507, 4183])).
% 37.54/23.96 tff(4191,plain,
% 37.54/23.96 (v84(constB32, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4190, 4169])).
% 37.54/23.96 tff(4192,plain,
% 37.54/23.96 ((~v1(constB33)) <=> (~v1(constB33))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4193,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 37.54/23.96 tff(4194,plain,
% 37.54/23.96 (~v1(constB33)),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 37.54/23.96 tff(4195,plain,
% 37.54/23.96 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4196,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 37.54/23.96 tff(4197,plain,
% 37.54/23.96 (nextState(constB32, constB33)),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4196, 4195])).
% 37.54/23.96 tff(4198,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4199,plain,
% 37.54/23.96 (((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4200,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33))))),
% 37.54/23.96 inference(monotonicity,[status(thm)],[4199])).
% 37.54/23.96 tff(4201,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 37.54/23.96 inference(transitivity,[status(thm)],[4200, 4198])).
% 37.54/23.96 tff(4202,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4203,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 37.54/23.96 tff(4204,plain,
% 37.54/23.96 (~v95(constB33)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4203, 175, 4197, 4194])).
% 37.54/23.96 tff(4205,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4206,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4207,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4206, 4205])).
% 37.54/23.96 tff(4208,plain,
% 37.54/23.96 (v95(constB33) | (~v94(constB33))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4207, 192, 4197])).
% 37.54/23.96 tff(4209,plain,
% 37.54/23.96 (~v94(constB33)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4208, 4204])).
% 37.54/23.96 tff(4210,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4211,plain,
% 37.54/23.96 (((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2)) <=> ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4212,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2)))),
% 37.54/23.96 inference(monotonicity,[status(thm)],[4211])).
% 37.54/23.96 tff(4213,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 37.54/23.96 inference(transitivity,[status(thm)],[4212, 4210])).
% 37.54/23.96 tff(4214,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4215,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2)),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4214, 4213])).
% 37.54/23.96 tff(4216,plain,
% 37.54/23.96 ((~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4215, 543, 4197])).
% 37.54/23.96 tff(4217,plain,
% 37.54/23.96 ((~v84(constB32, bitIndex2)) | v84(constB33, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4216, 4209])).
% 37.54/23.96 tff(4218,plain,
% 37.54/23.96 (v84(constB33, bitIndex2)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4217, 4191])).
% 37.54/23.96 tff(4219,plain,
% 37.54/23.96 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB31)) | (~v124(constB31, bitIndex1)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4220,plain,
% 37.54/23.96 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex1)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4221,plain,
% 37.54/23.96 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB31)) | (~v124(constB31, bitIndex1))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 37.54/23.96 tff(4222,plain,
% 37.54/23.96 (~v124(constB31, bitIndex1)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4221, 1977, 4103])).
% 37.54/23.96 tff(4223,plain,
% 37.54/23.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4224,plain,
% 37.54/23.96 ((v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1))) <=> ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4225,plain,
% 37.54/23.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1)))),
% 37.54/23.96 inference(monotonicity,[status(thm)],[4224])).
% 37.54/23.96 tff(4226,plain,
% 37.54/23.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 37.54/23.96 inference(transitivity,[status(thm)],[4225, 4223])).
% 37.54/23.96 tff(4227,plain,
% 37.54/23.96 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4228,plain,
% 37.54/23.96 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1)),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 37.54/23.96 tff(4229,plain,
% 37.54/23.96 ((~v121(constB31, bitIndex1)) | v124(constB31, bitIndex1)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4228, 576, 4123])).
% 37.54/23.96 tff(4230,plain,
% 37.54/23.96 (~v121(constB31, bitIndex1)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4229, 4222])).
% 37.54/23.96 tff(4231,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4232,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4233,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 37.54/23.96 tff(4234,plain,
% 37.54/23.96 (v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4233, 594, 4135])).
% 37.54/23.96 tff(4235,plain,
% 37.54/23.96 (~v123(constB32, bitIndex1)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4234, 4230])).
% 37.54/23.96 tff(4236,plain,
% 37.54/23.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4237,plain,
% 37.54/23.96 (((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1)) <=> ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4238,plain,
% 37.54/23.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32))))),
% 37.54/23.96 inference(monotonicity,[status(thm)],[4237])).
% 37.54/23.96 tff(4239,plain,
% 37.54/23.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 37.54/23.96 inference(transitivity,[status(thm)],[4238, 4236])).
% 37.54/23.96 tff(4240,plain,
% 37.54/23.96 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4241,plain,
% 37.54/23.96 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4240, 4239])).
% 37.54/23.96 tff(4242,plain,
% 37.54/23.96 ((~v84(constB32, bitIndex1)) | (~v94(constB32))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4241, 609, 4235])).
% 37.54/23.96 tff(4243,plain,
% 37.54/23.96 (~v84(constB32, bitIndex1)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4242, 4169])).
% 37.54/23.96 tff(4244,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4245,plain,
% 37.54/23.96 (((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1))) <=> (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4246,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1))))),
% 37.54/23.96 inference(monotonicity,[status(thm)],[4245])).
% 37.54/23.96 tff(4247,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 37.54/23.96 inference(transitivity,[status(thm)],[4246, 4244])).
% 37.54/23.96 tff(4248,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4249,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 37.54/23.96 tff(4250,plain,
% 37.54/23.96 (v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4249, 228, 4197])).
% 37.54/23.96 tff(4251,plain,
% 37.54/23.96 (v84(constB32, bitIndex1) | (~v84(constB33, bitIndex1))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4250, 4209])).
% 37.54/23.96 tff(4252,plain,
% 37.54/23.96 (~v84(constB33, bitIndex1)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4251, 4243])).
% 37.54/23.96 tff(4253,plain,
% 37.54/23.96 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB31)) | (~v124(constB31, bitIndex0)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4254,plain,
% 37.54/23.96 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex0)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4255,plain,
% 37.54/23.96 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB31)) | (~v124(constB31, bitIndex0))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 37.54/23.96 tff(4256,plain,
% 37.54/23.96 (~v124(constB31, bitIndex0)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4255, 2021, 4103])).
% 37.54/23.96 tff(4257,plain,
% 37.54/23.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4258,plain,
% 37.54/23.96 ((v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0))) <=> ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4259,plain,
% 37.54/23.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0)))),
% 37.54/23.96 inference(monotonicity,[status(thm)],[4258])).
% 37.54/23.96 tff(4260,plain,
% 37.54/23.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 37.54/23.96 inference(transitivity,[status(thm)],[4259, 4257])).
% 37.54/23.96 tff(4261,plain,
% 37.54/23.96 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4262,plain,
% 37.54/23.96 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0)),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 37.54/23.96 tff(4263,plain,
% 37.54/23.96 ((~v121(constB31, bitIndex0)) | v124(constB31, bitIndex0)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4262, 650, 4123])).
% 37.54/23.96 tff(4264,plain,
% 37.54/23.96 (~v121(constB31, bitIndex0)),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4263, 4256])).
% 37.54/23.96 tff(4265,plain,
% 37.54/23.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))),
% 37.54/23.96 inference(rewrite,[status(thm)],[])).
% 37.54/23.96 tff(4266,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))),
% 37.54/23.96 inference(quant_inst,[status(thm)],[])).
% 37.54/23.96 tff(4267,plain,
% 37.54/23.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0))),
% 37.54/23.96 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 37.54/23.96 tff(4268,plain,
% 37.54/23.96 (v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0))),
% 37.54/23.96 inference(unit_resolution,[status(thm)],[4267, 668, 4135])).
% 37.54/23.96 tff(4269,plain,
% 37.54/23.97 (~v123(constB32, bitIndex0)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4268, 4264])).
% 37.54/23.97 tff(4270,plain,
% 37.54/23.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4271,plain,
% 37.54/23.97 (((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0)) <=> ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4272,plain,
% 37.54/23.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32))))),
% 37.54/23.97 inference(monotonicity,[status(thm)],[4271])).
% 37.54/23.97 tff(4273,plain,
% 37.54/23.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 37.54/23.97 inference(transitivity,[status(thm)],[4272, 4270])).
% 37.54/23.97 tff(4274,plain,
% 37.54/23.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4275,plain,
% 37.54/23.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4274, 4273])).
% 37.54/23.97 tff(4276,plain,
% 37.54/23.97 ((~v84(constB32, bitIndex0)) | (~v94(constB32))),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4275, 683, 4269])).
% 37.54/23.97 tff(4277,plain,
% 37.54/23.97 (~v84(constB32, bitIndex0)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4276, 4169])).
% 37.54/23.97 tff(4278,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4279,plain,
% 37.54/23.97 (((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0))) <=> (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4280,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0))))),
% 37.54/23.97 inference(monotonicity,[status(thm)],[4279])).
% 37.54/23.97 tff(4281,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 37.54/23.97 inference(transitivity,[status(thm)],[4280, 4278])).
% 37.54/23.97 tff(4282,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4283,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4282, 4281])).
% 37.54/23.97 tff(4284,plain,
% 37.54/23.97 (v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0))),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4283, 249, 4197])).
% 37.54/23.97 tff(4285,plain,
% 37.54/23.97 (v84(constB32, bitIndex0) | (~v84(constB33, bitIndex0))),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4284, 4209])).
% 37.54/23.97 tff(4286,plain,
% 37.54/23.97 (~v84(constB33, bitIndex0)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4285, 4277])).
% 37.54/23.97 tff(4287,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4288,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4289,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33)),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4288, 4287])).
% 37.54/23.97 tff(4290,plain,
% 37.54/23.97 (v172(constB33)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4289, 710, 4286, 4252, 4218])).
% 37.54/23.97 tff(4291,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB33) | (~v172(constB33)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB33) | (~v172(constB33)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4292,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB33) | (~v172(constB33)))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4293,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB33) | (~v172(constB33))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 37.54/23.97 tff(4294,plain,
% 37.54/23.97 (v109(constB33)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4293, 764, 4290])).
% 37.54/23.97 tff(4295,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB33) | (~v109(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB33) | (~v109(constB33)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4296,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB33) | (~v109(constB33)))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4297,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB33) | (~v109(constB33))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4296, 4295])).
% 37.54/23.97 tff(4298,plain,
% 37.54/23.97 (v108(constB33)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4297, 325, 4294])).
% 37.54/23.97 tff(4299,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB33) | (~v108(constB33)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB33) | (~v108(constB33)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4300,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB33) | (~v108(constB33)))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4301,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB33) | (~v108(constB33))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4300, 4299])).
% 37.54/23.97 tff(4302,plain,
% 37.54/23.97 (v107(constB33)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4301, 336, 4298])).
% 37.54/23.97 tff(4303,assumption,(v26(constB33)), introduced(assumption)).
% 37.54/23.97 tff(4304,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4305,plain,
% 37.54/23.97 ($false),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4304, 120, 4303])).
% 37.54/23.97 tff(4306,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 37.54/23.97 tff(4307,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | v106(constB33) | (~v107(constB33)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | v106(constB33) | (~v107(constB33)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4308,plain,
% 37.54/23.97 ((v26(constB33) | (~v107(constB33)) | v106(constB33)) <=> (v26(constB33) | v106(constB33) | (~v107(constB33)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4309,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | v106(constB33) | (~v107(constB33))))),
% 37.54/23.97 inference(monotonicity,[status(thm)],[4308])).
% 37.54/23.97 tff(4310,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | v106(constB33) | (~v107(constB33)))),
% 37.54/23.97 inference(transitivity,[status(thm)],[4309, 4307])).
% 37.54/23.97 tff(4311,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4312,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | v106(constB33) | (~v107(constB33))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4311, 4310])).
% 37.54/23.97 tff(4313,plain,
% 37.54/23.97 (v106(constB33) | (~v107(constB33))),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4312, 350, 4306])).
% 37.54/23.97 tff(4314,plain,
% 37.54/23.97 (v106(constB33)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4313, 4302])).
% 37.54/23.97 tff(4315,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB33) | (~v106(constB33)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB33) | (~v106(constB33)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4316,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB33) | (~v106(constB33)))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4317,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB33) | (~v106(constB33))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 37.54/23.97 tff(4318,plain,
% 37.54/23.97 (v102(constB33)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4317, 362, 4314])).
% 37.54/23.97 tff(4319,plain,
% 37.54/23.97 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4320,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 37.54/23.97 tff(4321,plain,
% 37.54/23.97 (nextState(constB33, constB34)),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 37.54/23.97 tff(4322,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4323,plain,
% 37.54/23.97 (((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34)) <=> ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4324,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33))))),
% 37.54/23.97 inference(monotonicity,[status(thm)],[4323])).
% 37.54/23.97 tff(4325,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 37.54/23.97 inference(transitivity,[status(thm)],[4324, 4322])).
% 37.54/23.97 tff(4326,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4327,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 37.54/23.97 tff(4328,plain,
% 37.54/23.97 (v104(constB34) | (~v102(constB33))),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4327, 379, 4321])).
% 37.54/23.97 tff(4329,plain,
% 37.54/23.97 (v104(constB34)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4328, 4318])).
% 37.54/23.97 tff(4330,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4331,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4332,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4331, 4330])).
% 37.54/23.97 tff(4333,plain,
% 37.54/23.97 (~v98(constB34)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4332, 397, 4321, 4194])).
% 37.54/23.97 tff(4334,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4335,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4336,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB33, constB34)) | v96(constB34) | v98(constB34)),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4335, 4334])).
% 37.54/23.97 tff(4337,plain,
% 37.54/23.97 (v96(constB34) | v98(constB34)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4336, 411, 4321])).
% 37.54/23.97 tff(4338,plain,
% 37.54/23.97 (v96(constB34)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4337, 4333])).
% 37.54/23.97 tff(4339,plain,
% 37.54/23.97 (v1(constB34) <=> v1(constB34)),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4340,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 37.54/23.97 tff(4341,plain,
% 37.54/23.97 (v1(constB34)),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4340, 4339])).
% 37.54/23.97 tff(4342,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4343,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4344,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 37.54/23.97 tff(4345,plain,
% 37.54/23.97 (v95(constB34) | (~v96(constB34))),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4344, 429, 4321, 4341])).
% 37.54/23.97 tff(4346,plain,
% 37.54/23.97 (v95(constB34)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4345, 4338])).
% 37.54/23.97 tff(4347,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4348,plain,
% 37.54/23.97 (((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34)) <=> ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4349,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34))))),
% 37.54/23.97 inference(monotonicity,[status(thm)],[4348])).
% 37.54/23.97 tff(4350,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 37.54/23.97 inference(transitivity,[status(thm)],[4349, 4347])).
% 37.54/23.97 tff(4351,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4352,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34))),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4351, 4350])).
% 37.54/23.97 tff(4353,plain,
% 37.54/23.97 (v94(constB34) | (~v95(constB34)) | (~v104(constB34))),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4352, 444, 4321])).
% 37.54/23.97 tff(4354,plain,
% 37.54/23.97 (v94(constB34) | (~v104(constB34))),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4353, 4346])).
% 37.54/23.97 tff(4355,plain,
% 37.54/23.97 (v94(constB34)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4354, 4329])).
% 37.54/23.97 tff(4356,plain,
% 37.54/23.97 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB33)) | v124(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB33)) | v124(constB33, bitIndex2))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4357,plain,
% 37.54/23.97 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB33)) | v124(constB33, bitIndex2))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4358,plain,
% 37.54/23.97 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB33)) | v124(constB33, bitIndex2)),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 37.54/23.97 tff(4359,plain,
% 37.54/23.97 (v124(constB33, bitIndex2)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4358, 724, 4290])).
% 37.54/23.97 tff(4360,plain,
% 37.54/23.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4361,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4362,plain,
% 37.54/23.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2)),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 37.54/23.97 tff(4363,plain,
% 37.54/23.97 ((~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4362, 477, 4306])).
% 37.54/23.97 tff(4364,plain,
% 37.54/23.97 (v121(constB33, bitIndex2)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4363, 4359])).
% 37.54/23.97 tff(4365,plain,
% 37.54/23.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4366,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))),
% 37.54/23.97 inference(quant_inst,[status(thm)],[])).
% 37.54/23.97 tff(4367,plain,
% 37.54/23.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2)),
% 37.54/23.97 inference(modus_ponens,[status(thm)],[4366, 4365])).
% 37.54/23.97 tff(4368,plain,
% 37.54/23.97 ((~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4367, 492, 4321])).
% 37.54/23.97 tff(4369,plain,
% 37.54/23.97 (v123(constB34, bitIndex2)),
% 37.54/23.97 inference(unit_resolution,[status(thm)],[4368, 4364])).
% 37.54/23.97 tff(4370,plain,
% 37.54/23.97 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4371,plain,
% 37.54/23.97 ((v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2))) <=> (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 37.54/23.97 inference(rewrite,[status(thm)],[])).
% 37.54/23.97 tff(4372,plain,
% 37.54/23.97 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34))))),
% 37.54/23.98 inference(monotonicity,[status(thm)],[4371])).
% 37.54/23.98 tff(4373,plain,
% 37.54/23.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 37.54/23.98 inference(transitivity,[status(thm)],[4372, 4370])).
% 37.54/23.98 tff(4374,plain,
% 37.54/23.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))),
% 37.54/23.98 inference(quant_inst,[status(thm)],[])).
% 37.54/23.98 tff(4375,plain,
% 37.54/23.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34))),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 37.54/23.98 tff(4376,plain,
% 37.54/23.98 (v84(constB34, bitIndex2) | (~v94(constB34))),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4375, 507, 4369])).
% 37.54/23.98 tff(4377,plain,
% 37.54/23.98 (v84(constB34, bitIndex2)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4376, 4355])).
% 37.54/23.98 tff(4378,plain,
% 37.54/23.98 ((~v1(constB35)) <=> (~v1(constB35))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4379,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 37.54/23.98 tff(4380,plain,
% 37.54/23.98 (~v1(constB35)),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4379, 4378])).
% 37.54/23.98 tff(4381,plain,
% 37.54/23.98 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4382,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 37.54/23.98 tff(4383,plain,
% 37.54/23.98 (nextState(constB34, constB35)),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 37.54/23.98 tff(4384,plain,
% 37.54/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4385,plain,
% 37.54/23.98 (((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4386,plain,
% 37.54/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35))))),
% 37.54/23.98 inference(monotonicity,[status(thm)],[4385])).
% 37.54/23.98 tff(4387,plain,
% 37.54/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 37.54/23.98 inference(transitivity,[status(thm)],[4386, 4384])).
% 37.54/23.98 tff(4388,plain,
% 37.54/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))),
% 37.54/23.98 inference(quant_inst,[status(thm)],[])).
% 37.54/23.98 tff(4389,plain,
% 37.54/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35))),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 37.54/23.98 tff(4390,plain,
% 37.54/23.98 (~v95(constB35)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4389, 175, 4383, 4380])).
% 37.54/23.98 tff(4391,plain,
% 37.54/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4392,plain,
% 37.54/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))),
% 37.54/23.98 inference(quant_inst,[status(thm)],[])).
% 37.54/23.98 tff(4393,plain,
% 37.54/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35))),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4392, 4391])).
% 37.54/23.98 tff(4394,plain,
% 37.54/23.98 (v95(constB35) | (~v94(constB35))),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4393, 192, 4383])).
% 37.54/23.98 tff(4395,plain,
% 37.54/23.98 (~v94(constB35)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4394, 4390])).
% 37.54/23.98 tff(4396,plain,
% 37.54/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4397,plain,
% 37.54/23.98 (((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2)) <=> ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4398,plain,
% 37.54/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2)))),
% 37.54/23.98 inference(monotonicity,[status(thm)],[4397])).
% 37.54/23.98 tff(4399,plain,
% 37.54/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 37.54/23.98 inference(transitivity,[status(thm)],[4398, 4396])).
% 37.54/23.98 tff(4400,plain,
% 37.54/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))),
% 37.54/23.98 inference(quant_inst,[status(thm)],[])).
% 37.54/23.98 tff(4401,plain,
% 37.54/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2)),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4400, 4399])).
% 37.54/23.98 tff(4402,plain,
% 37.54/23.98 ((~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4401, 543, 4383])).
% 37.54/23.98 tff(4403,plain,
% 37.54/23.98 ((~v84(constB34, bitIndex2)) | v84(constB35, bitIndex2)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4402, 4395])).
% 37.54/23.98 tff(4404,plain,
% 37.54/23.98 (v84(constB35, bitIndex2)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4403, 4377])).
% 37.54/23.98 tff(4405,plain,
% 37.54/23.98 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB33)) | v124(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB33)) | v124(constB33, bitIndex1))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4406,plain,
% 37.54/23.98 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB33)) | v124(constB33, bitIndex1))),
% 37.54/23.98 inference(quant_inst,[status(thm)],[])).
% 37.54/23.98 tff(4407,plain,
% 37.54/23.98 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB33)) | v124(constB33, bitIndex1)),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4406, 4405])).
% 37.54/23.98 tff(4408,plain,
% 37.54/23.98 (v124(constB33, bitIndex1)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4407, 861, 4290])).
% 37.54/23.98 tff(4409,plain,
% 37.54/23.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB33) | (~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB33) | (~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4410,plain,
% 37.54/23.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB33) | (~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1))),
% 37.54/23.98 inference(quant_inst,[status(thm)],[])).
% 37.54/23.98 tff(4411,plain,
% 37.54/23.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB33) | (~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1)),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4410, 4409])).
% 37.54/23.98 tff(4412,plain,
% 37.54/23.98 ((~v124(constB33, bitIndex1)) | v121(constB33, bitIndex1)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4411, 875, 4306])).
% 37.54/23.98 tff(4413,plain,
% 37.54/23.98 (v121(constB33, bitIndex1)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4412, 4408])).
% 37.54/23.98 tff(4414,plain,
% 37.54/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4415,plain,
% 37.54/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1))),
% 37.54/23.98 inference(quant_inst,[status(thm)],[])).
% 37.54/23.98 tff(4416,plain,
% 37.54/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1)),
% 37.54/23.98 inference(modus_ponens,[status(thm)],[4415, 4414])).
% 37.54/23.98 tff(4417,plain,
% 37.54/23.98 ((~v121(constB33, bitIndex1)) | v123(constB34, bitIndex1)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4416, 890, 4321])).
% 37.54/23.98 tff(4418,plain,
% 37.54/23.98 (v123(constB34, bitIndex1)),
% 37.54/23.98 inference(unit_resolution,[status(thm)],[4417, 4413])).
% 37.54/23.98 tff(4419,plain,
% 37.54/23.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34)))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4420,plain,
% 37.54/23.98 ((v84(constB34, bitIndex1) | (~v94(constB34)) | (~v123(constB34, bitIndex1))) <=> (v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34)))),
% 37.54/23.98 inference(rewrite,[status(thm)],[])).
% 37.54/23.98 tff(4421,plain,
% 37.54/23.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v94(constB34)) | (~v123(constB34, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34))))),
% 37.60/23.98 inference(monotonicity,[status(thm)],[4420])).
% 37.60/23.98 tff(4422,plain,
% 37.60/23.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v94(constB34)) | (~v123(constB34, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34)))),
% 37.60/23.98 inference(transitivity,[status(thm)],[4421, 4419])).
% 37.60/23.98 tff(4423,plain,
% 37.60/23.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~v94(constB34)) | (~v123(constB34, bitIndex1)))),
% 37.60/23.98 inference(quant_inst,[status(thm)],[])).
% 37.60/23.98 tff(4424,plain,
% 37.60/23.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~v123(constB34, bitIndex1)) | (~v94(constB34))),
% 37.60/23.98 inference(modus_ponens,[status(thm)],[4423, 4422])).
% 37.60/23.98 tff(4425,plain,
% 37.60/23.98 (v84(constB34, bitIndex1) | (~v94(constB34))),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4424, 905, 4418])).
% 37.60/23.98 tff(4426,plain,
% 37.60/23.98 (v84(constB34, bitIndex1)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4425, 4355])).
% 37.60/23.98 tff(4427,plain,
% 37.60/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4428,plain,
% 37.60/23.98 (((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1)) <=> ((~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4429,plain,
% 37.60/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1)))),
% 37.60/23.98 inference(monotonicity,[status(thm)],[4428])).
% 37.60/23.98 tff(4430,plain,
% 37.60/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1))),
% 37.60/23.98 inference(transitivity,[status(thm)],[4429, 4427])).
% 37.60/23.98 tff(4431,plain,
% 37.60/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1))),
% 37.60/23.98 inference(quant_inst,[status(thm)],[])).
% 37.60/23.98 tff(4432,plain,
% 37.60/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex1)),
% 37.60/23.98 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 37.60/23.98 tff(4433,plain,
% 37.60/23.98 ((~v84(constB34, bitIndex1)) | v94(constB35) | v84(constB35, bitIndex1)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4432, 923, 4383])).
% 37.60/23.98 tff(4434,plain,
% 37.60/23.98 ((~v84(constB34, bitIndex1)) | v84(constB35, bitIndex1)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4433, 4395])).
% 37.60/23.98 tff(4435,plain,
% 37.60/23.98 (v84(constB35, bitIndex1)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4434, 4426])).
% 37.60/23.98 tff(4436,plain,
% 37.60/23.98 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB33)) | (~v124(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB33)) | (~v124(constB33, bitIndex0)))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4437,plain,
% 37.60/23.98 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB33)) | (~v124(constB33, bitIndex0)))),
% 37.60/23.98 inference(quant_inst,[status(thm)],[])).
% 37.60/23.98 tff(4438,plain,
% 37.60/23.98 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB33)) | (~v124(constB33, bitIndex0))),
% 37.60/23.98 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 37.60/23.98 tff(4439,plain,
% 37.60/23.98 (~v124(constB33, bitIndex0)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4438, 942, 4290])).
% 37.60/23.98 tff(4440,plain,
% 37.60/23.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4441,plain,
% 37.60/23.98 ((v26(constB33) | v124(constB33, bitIndex0) | (~v121(constB33, bitIndex0))) <=> ((~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4442,plain,
% 37.60/23.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB33) | v124(constB33, bitIndex0) | (~v121(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0)))),
% 37.60/23.98 inference(monotonicity,[status(thm)],[4441])).
% 37.60/23.98 tff(4443,plain,
% 37.60/23.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB33) | v124(constB33, bitIndex0) | (~v121(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0))),
% 37.60/23.98 inference(transitivity,[status(thm)],[4442, 4440])).
% 37.60/23.98 tff(4444,plain,
% 37.60/23.98 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB33) | v124(constB33, bitIndex0) | (~v121(constB33, bitIndex0)))),
% 37.60/23.98 inference(quant_inst,[status(thm)],[])).
% 37.60/23.98 tff(4445,plain,
% 37.60/23.98 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB33, bitIndex0)) | v26(constB33) | v124(constB33, bitIndex0)),
% 37.60/23.98 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 37.60/23.98 tff(4446,plain,
% 37.60/23.98 ((~v121(constB33, bitIndex0)) | v124(constB33, bitIndex0)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4445, 650, 4306])).
% 37.60/23.98 tff(4447,plain,
% 37.60/23.98 (~v121(constB33, bitIndex0)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4446, 4439])).
% 37.60/23.98 tff(4448,plain,
% 37.60/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0)))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4449,plain,
% 37.60/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0)))),
% 37.60/23.98 inference(quant_inst,[status(thm)],[])).
% 37.60/23.98 tff(4450,plain,
% 37.60/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0))),
% 37.60/23.98 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 37.60/23.98 tff(4451,plain,
% 37.60/23.98 (v121(constB33, bitIndex0) | (~v123(constB34, bitIndex0))),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4450, 668, 4321])).
% 37.60/23.98 tff(4452,plain,
% 37.60/23.98 (~v123(constB34, bitIndex0)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4451, 4447])).
% 37.60/23.98 tff(4453,plain,
% 37.60/23.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34)))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4454,plain,
% 37.60/23.98 (((~v84(constB34, bitIndex0)) | (~v94(constB34)) | v123(constB34, bitIndex0)) <=> ((~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34)))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4455,plain,
% 37.60/23.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~v94(constB34)) | v123(constB34, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34))))),
% 37.60/23.98 inference(monotonicity,[status(thm)],[4454])).
% 37.60/23.98 tff(4456,plain,
% 37.60/23.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~v94(constB34)) | v123(constB34, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34)))),
% 37.60/23.98 inference(transitivity,[status(thm)],[4455, 4453])).
% 37.60/23.98 tff(4457,plain,
% 37.60/23.98 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~v94(constB34)) | v123(constB34, bitIndex0))),
% 37.60/23.98 inference(quant_inst,[status(thm)],[])).
% 37.60/23.98 tff(4458,plain,
% 37.60/23.98 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | v123(constB34, bitIndex0) | (~v94(constB34))),
% 37.60/23.98 inference(modus_ponens,[status(thm)],[4457, 4456])).
% 37.60/23.98 tff(4459,plain,
% 37.60/23.98 ((~v84(constB34, bitIndex0)) | (~v94(constB34))),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4458, 683, 4452])).
% 37.60/23.98 tff(4460,plain,
% 37.60/23.98 (~v84(constB34, bitIndex0)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4459, 4355])).
% 37.60/23.98 tff(4461,plain,
% 37.60/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0)))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4462,plain,
% 37.60/23.98 (((~nextState(constB34, constB35)) | v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0))) <=> (v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0)))),
% 37.60/23.98 inference(rewrite,[status(thm)],[])).
% 37.60/23.98 tff(4463,plain,
% 37.60/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0))))),
% 37.60/23.98 inference(monotonicity,[status(thm)],[4462])).
% 37.60/23.98 tff(4464,plain,
% 37.60/23.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0)))),
% 37.60/23.98 inference(transitivity,[status(thm)],[4463, 4461])).
% 37.60/23.98 tff(4465,plain,
% 37.60/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0)))),
% 37.60/23.98 inference(quant_inst,[status(thm)],[])).
% 37.60/23.98 tff(4466,plain,
% 37.60/23.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex0))),
% 37.60/23.98 inference(modus_ponens,[status(thm)],[4465, 4464])).
% 37.60/23.98 tff(4467,plain,
% 37.60/23.98 (v84(constB34, bitIndex0) | v94(constB35) | (~v84(constB35, bitIndex0))),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4466, 249, 4383])).
% 37.60/23.98 tff(4468,plain,
% 37.60/23.98 (v84(constB34, bitIndex0) | (~v84(constB35, bitIndex0))),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4467, 4395])).
% 37.60/23.98 tff(4469,plain,
% 37.60/23.98 (~v84(constB35, bitIndex0)),
% 37.60/23.98 inference(unit_resolution,[status(thm)],[4468, 4460])).
% 37.60/23.98 tff(4470,plain,
% 37.60/23.98 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB35, bitIndex0) | (~v84(constB35, bitIndex1)) | (~v84(constB35, bitIndex2)) | v119(constB35))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB35, bitIndex0) | (~v84(constB35, bitIndex1)) | (~v84(constB35, bitIndex2)) | v119(constB35))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4471,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB35, bitIndex0) | (~v84(constB35, bitIndex1)) | (~v84(constB35, bitIndex2)) | v119(constB35))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4472,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB35, bitIndex0) | (~v84(constB35, bitIndex1)) | (~v84(constB35, bitIndex2)) | v119(constB35)),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 37.60/23.99 tff(4473,plain,
% 37.60/23.99 (v119(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4472, 986, 4469, 4435, 4404])).
% 37.60/23.99 tff(4474,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB35) | (~v119(constB35)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB35) | (~v119(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4475,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB35) | (~v119(constB35)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4476,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB35) | (~v119(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 37.60/23.99 tff(4477,plain,
% 37.60/23.99 (v107(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4476, 997, 4473])).
% 37.60/23.99 tff(4478,assumption,(v26(constB35)), introduced(assumption)).
% 37.60/23.99 tff(4479,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4480,plain,
% 37.60/23.99 ($false),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4479, 120, 4478])).
% 37.60/23.99 tff(4481,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 37.60/23.99 tff(4482,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | v106(constB35) | (~v107(constB35)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4483,plain,
% 37.60/23.99 ((v26(constB35) | (~v107(constB35)) | v106(constB35)) <=> (v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4484,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | v106(constB35) | (~v107(constB35))))),
% 37.60/23.99 inference(monotonicity,[status(thm)],[4483])).
% 37.60/23.99 tff(4485,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 37.60/23.99 inference(transitivity,[status(thm)],[4484, 4482])).
% 37.60/23.99 tff(4486,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4487,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4486, 4485])).
% 37.60/23.99 tff(4488,plain,
% 37.60/23.99 (v106(constB35) | (~v107(constB35))),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4487, 350, 4481])).
% 37.60/23.99 tff(4489,plain,
% 37.60/23.99 (v106(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4488, 4477])).
% 37.60/23.99 tff(4490,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB35) | (~v106(constB35)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB35) | (~v106(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4491,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB35) | (~v106(constB35)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4492,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB35) | (~v106(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 37.60/23.99 tff(4493,plain,
% 37.60/23.99 (v102(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4492, 362, 4489])).
% 37.60/23.99 tff(4494,plain,
% 37.60/23.99 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4495,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 37.60/23.99 tff(4496,plain,
% 37.60/23.99 (nextState(constB35, constB36)),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 37.60/23.99 tff(4497,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4498,plain,
% 37.60/23.99 (((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36)) <=> ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4499,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35))))),
% 37.60/23.99 inference(monotonicity,[status(thm)],[4498])).
% 37.60/23.99 tff(4500,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 37.60/23.99 inference(transitivity,[status(thm)],[4499, 4497])).
% 37.60/23.99 tff(4501,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4502,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4501, 4500])).
% 37.60/23.99 tff(4503,plain,
% 37.60/23.99 (v104(constB36) | (~v102(constB35))),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4502, 379, 4496])).
% 37.60/23.99 tff(4504,plain,
% 37.60/23.99 (v104(constB36)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4503, 4493])).
% 37.60/23.99 tff(4505,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4506,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4507,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 37.60/23.99 tff(4508,plain,
% 37.60/23.99 (~v98(constB36)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4507, 397, 4496, 4380])).
% 37.60/23.99 tff(4509,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4510,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4511,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB35, constB36)) | v96(constB36) | v98(constB36)),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 37.60/23.99 tff(4512,plain,
% 37.60/23.99 (v96(constB36) | v98(constB36)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4511, 411, 4496])).
% 37.60/23.99 tff(4513,plain,
% 37.60/23.99 (v96(constB36)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4512, 4508])).
% 37.60/23.99 tff(4514,plain,
% 37.60/23.99 (v1(constB36) <=> v1(constB36)),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4515,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 37.60/23.99 tff(4516,plain,
% 37.60/23.99 (v1(constB36)),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 37.60/23.99 tff(4517,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4518,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4519,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 37.60/23.99 tff(4520,plain,
% 37.60/23.99 (v95(constB36) | (~v96(constB36))),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4519, 429, 4496, 4516])).
% 37.60/23.99 tff(4521,plain,
% 37.60/23.99 (v95(constB36)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4520, 4513])).
% 37.60/23.99 tff(4522,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4523,plain,
% 37.60/23.99 (((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36)) <=> ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4524,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36))))),
% 37.60/23.99 inference(monotonicity,[status(thm)],[4523])).
% 37.60/23.99 tff(4525,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 37.60/23.99 inference(transitivity,[status(thm)],[4524, 4522])).
% 37.60/23.99 tff(4526,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4527,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 37.60/23.99 tff(4528,plain,
% 37.60/23.99 (v94(constB36) | (~v95(constB36)) | (~v104(constB36))),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4527, 444, 4496])).
% 37.60/23.99 tff(4529,plain,
% 37.60/23.99 (v94(constB36) | (~v104(constB36))),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4528, 4521])).
% 37.60/23.99 tff(4530,plain,
% 37.60/23.99 (v94(constB36)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4529, 4504])).
% 37.60/23.99 tff(4531,plain,
% 37.60/23.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB35, bitIndex2)) | (~v115(constB35)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB35, bitIndex2)) | (~v115(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4532,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB35, bitIndex2)) | (~v115(constB35)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4533,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB35, bitIndex2)) | (~v115(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4532, 4531])).
% 37.60/23.99 tff(4534,plain,
% 37.60/23.99 (~v115(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4533, 1058, 4404])).
% 37.60/23.99 tff(4535,plain,
% 37.60/23.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB35, bitIndex2)) | (~v116(constB35)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB35, bitIndex2)) | (~v116(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4536,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB35, bitIndex2)) | (~v116(constB35)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4537,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB35, bitIndex2)) | (~v116(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 37.60/23.99 tff(4538,plain,
% 37.60/23.99 (~v116(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4537, 1069, 4404])).
% 37.60/23.99 tff(4539,plain,
% 37.60/23.99 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB35)) | (~v84(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB35)) | (~v84(constB35, bitIndex1)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4540,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB35)) | (~v84(constB35, bitIndex1)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4541,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB35)) | (~v84(constB35, bitIndex1))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4540, 4539])).
% 37.60/23.99 tff(4542,plain,
% 37.60/23.99 (~v113(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4541, 1083, 4435])).
% 37.60/23.99 tff(4543,plain,
% 37.60/23.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB35, bitIndex1)) | (~v118(constB35)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB35, bitIndex1)) | (~v118(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4544,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB35, bitIndex1)) | (~v118(constB35)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4545,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB35, bitIndex1)) | (~v118(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 37.60/23.99 tff(4546,plain,
% 37.60/23.99 (~v118(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4545, 1094, 4435])).
% 37.60/23.99 tff(4547,plain,
% 37.60/23.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB35, bitIndex1)) | (~v172(constB35)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB35, bitIndex1)) | (~v172(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4548,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB35, bitIndex1)) | (~v172(constB35)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4549,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB35, bitIndex1)) | (~v172(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 37.60/23.99 tff(4550,plain,
% 37.60/23.99 (~v172(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4549, 1105, 4435])).
% 37.60/23.99 tff(4551,plain,
% 37.60/23.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB35, bitIndex1)) | (~v145(constB35)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB35, bitIndex1)) | (~v145(constB35)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4552,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB35, bitIndex1)) | (~v145(constB35)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4553,plain,
% 37.60/23.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB35, bitIndex1)) | (~v145(constB35))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 37.60/23.99 tff(4554,plain,
% 37.60/23.99 (~v145(constB35)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4553, 1116, 4435])).
% 37.60/23.99 tff(4555,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4556,plain,
% 37.60/23.99 ((v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex2))) <=> ((~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4557,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)))),
% 37.60/23.99 inference(monotonicity,[status(thm)],[4556])).
% 37.60/23.99 tff(4558,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/23.99 inference(transitivity,[status(thm)],[4557, 4555])).
% 37.60/23.99 tff(4559,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex2)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4560,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB35, bitIndex2)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 37.60/23.99 tff(4561,plain,
% 37.60/23.99 (~v124(constB35, bitIndex2)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4560, 1130, 4554, 4550, 4546, 4542, 4538, 4534])).
% 37.60/23.99 tff(4562,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4563,plain,
% 37.60/23.99 ((v26(constB35) | v124(constB35, bitIndex2) | (~v121(constB35, bitIndex2))) <=> ((~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4564,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB35) | v124(constB35, bitIndex2) | (~v121(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2)))),
% 37.60/23.99 inference(monotonicity,[status(thm)],[4563])).
% 37.60/23.99 tff(4565,plain,
% 37.60/23.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB35) | v124(constB35, bitIndex2) | (~v121(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2))),
% 37.60/23.99 inference(transitivity,[status(thm)],[4564, 4562])).
% 37.60/23.99 tff(4566,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB35) | v124(constB35, bitIndex2) | (~v121(constB35, bitIndex2)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4567,plain,
% 37.60/23.99 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB35, bitIndex2)) | v26(constB35) | v124(constB35, bitIndex2)),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4566, 4565])).
% 37.60/23.99 tff(4568,plain,
% 37.60/23.99 ((~v121(constB35, bitIndex2)) | v124(constB35, bitIndex2)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4567, 1147, 4481])).
% 37.60/23.99 tff(4569,plain,
% 37.60/23.99 (~v121(constB35, bitIndex2)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4568, 4561])).
% 37.60/23.99 tff(4570,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4571,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4572,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4571, 4570])).
% 37.60/23.99 tff(4573,plain,
% 37.60/23.99 (v121(constB35, bitIndex2) | (~v123(constB36, bitIndex2))),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4572, 1165, 4496])).
% 37.60/23.99 tff(4574,plain,
% 37.60/23.99 (~v123(constB36, bitIndex2)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4573, 4569])).
% 37.60/23.99 tff(4575,plain,
% 37.60/23.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4576,plain,
% 37.60/23.99 (((~v84(constB36, bitIndex2)) | (~v94(constB36)) | v123(constB36, bitIndex2)) <=> ((~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4577,plain,
% 37.60/23.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | (~v94(constB36)) | v123(constB36, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36))))),
% 37.60/23.99 inference(monotonicity,[status(thm)],[4576])).
% 37.60/23.99 tff(4578,plain,
% 37.60/23.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | (~v94(constB36)) | v123(constB36, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36)))),
% 37.60/23.99 inference(transitivity,[status(thm)],[4577, 4575])).
% 37.60/23.99 tff(4579,plain,
% 37.60/23.99 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | (~v94(constB36)) | v123(constB36, bitIndex2))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4580,plain,
% 37.60/23.99 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | v123(constB36, bitIndex2) | (~v94(constB36))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 37.60/23.99 tff(4581,plain,
% 37.60/23.99 ((~v84(constB36, bitIndex2)) | (~v94(constB36))),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4580, 1180, 4574])).
% 37.60/23.99 tff(4582,plain,
% 37.60/23.99 (~v84(constB36, bitIndex2)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4581, 4530])).
% 37.60/23.99 tff(4583,plain,
% 37.60/23.99 ((~v1(constB37)) <=> (~v1(constB37))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4584,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 37.60/23.99 tff(4585,plain,
% 37.60/23.99 (~v1(constB37)),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4584, 4583])).
% 37.60/23.99 tff(4586,plain,
% 37.60/23.99 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4587,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 37.60/23.99 tff(4588,plain,
% 37.60/23.99 (nextState(constB36, constB37)),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 37.60/23.99 tff(4589,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4590,plain,
% 37.60/23.99 (((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4591,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37))))),
% 37.60/23.99 inference(monotonicity,[status(thm)],[4590])).
% 37.60/23.99 tff(4592,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 37.60/23.99 inference(transitivity,[status(thm)],[4591, 4589])).
% 37.60/23.99 tff(4593,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4594,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37))),
% 37.60/23.99 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 37.60/23.99 tff(4595,plain,
% 37.60/23.99 (~v95(constB37)),
% 37.60/23.99 inference(unit_resolution,[status(thm)],[4594, 175, 4588, 4585])).
% 37.60/23.99 tff(4596,plain,
% 37.60/23.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))),
% 37.60/23.99 inference(rewrite,[status(thm)],[])).
% 37.60/23.99 tff(4597,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))),
% 37.60/23.99 inference(quant_inst,[status(thm)],[])).
% 37.60/23.99 tff(4598,plain,
% 37.60/23.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37))),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4597, 4596])).
% 37.60/24.00 tff(4599,plain,
% 37.60/24.00 (v95(constB37) | (~v94(constB37))),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4598, 192, 4588])).
% 37.60/24.00 tff(4600,plain,
% 37.60/24.00 (~v94(constB37)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4599, 4595])).
% 37.60/24.00 tff(4601,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4602,plain,
% 37.60/24.00 (((~nextState(constB36, constB37)) | v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2))) <=> (v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4603,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2))))),
% 37.60/24.00 inference(monotonicity,[status(thm)],[4602])).
% 37.60/24.00 tff(4604,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2)))),
% 37.60/24.00 inference(transitivity,[status(thm)],[4603, 4601])).
% 37.60/24.00 tff(4605,plain,
% 37.60/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2)))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4606,plain,
% 37.60/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex2))),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 37.60/24.00 tff(4607,plain,
% 37.60/24.00 (v84(constB36, bitIndex2) | v94(constB37) | (~v84(constB37, bitIndex2))),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4606, 207, 4588])).
% 37.60/24.00 tff(4608,plain,
% 37.60/24.00 (v84(constB36, bitIndex2) | (~v84(constB37, bitIndex2))),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4607, 4600])).
% 37.60/24.00 tff(4609,plain,
% 37.60/24.00 (~v84(constB37, bitIndex2)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4608, 4582])).
% 37.60/24.00 tff(4610,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4611,plain,
% 37.60/24.00 ((v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex1))) <=> ((~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4612,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)))),
% 37.60/24.00 inference(monotonicity,[status(thm)],[4611])).
% 37.60/24.00 tff(4613,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/24.00 inference(transitivity,[status(thm)],[4612, 4610])).
% 37.60/24.00 tff(4614,plain,
% 37.60/24.00 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | (~v124(constB35, bitIndex1)))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4615,plain,
% 37.60/24.00 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB35, bitIndex1)) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4614, 4613])).
% 37.60/24.00 tff(4616,plain,
% 37.60/24.00 (~v124(constB35, bitIndex1)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4615, 1225, 4554, 4550, 4546, 4542, 4538, 4534])).
% 37.60/24.00 tff(4617,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4618,plain,
% 37.60/24.00 ((v26(constB35) | v124(constB35, bitIndex1) | (~v121(constB35, bitIndex1))) <=> ((~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4619,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB35) | v124(constB35, bitIndex1) | (~v121(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1)))),
% 37.60/24.00 inference(monotonicity,[status(thm)],[4618])).
% 37.60/24.00 tff(4620,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB35) | v124(constB35, bitIndex1) | (~v121(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1))),
% 37.60/24.00 inference(transitivity,[status(thm)],[4619, 4617])).
% 37.60/24.00 tff(4621,plain,
% 37.60/24.00 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB35) | v124(constB35, bitIndex1) | (~v121(constB35, bitIndex1)))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4622,plain,
% 37.60/24.00 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB35, bitIndex1)) | v26(constB35) | v124(constB35, bitIndex1)),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 37.60/24.00 tff(4623,plain,
% 37.60/24.00 ((~v121(constB35, bitIndex1)) | v124(constB35, bitIndex1)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4622, 576, 4481])).
% 37.60/24.00 tff(4624,plain,
% 37.60/24.00 (~v121(constB35, bitIndex1)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4623, 4616])).
% 37.60/24.00 tff(4625,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4626,plain,
% 37.60/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4627,plain,
% 37.60/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1))),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4626, 4625])).
% 37.60/24.00 tff(4628,plain,
% 37.60/24.00 (v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1))),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4627, 594, 4496])).
% 37.60/24.00 tff(4629,plain,
% 37.60/24.00 (~v123(constB36, bitIndex1)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4628, 4624])).
% 37.60/24.00 tff(4630,plain,
% 37.60/24.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4631,plain,
% 37.60/24.00 (((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1)) <=> ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4632,plain,
% 37.60/24.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36))))),
% 37.60/24.00 inference(monotonicity,[status(thm)],[4631])).
% 37.60/24.00 tff(4633,plain,
% 37.60/24.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 37.60/24.00 inference(transitivity,[status(thm)],[4632, 4630])).
% 37.60/24.00 tff(4634,plain,
% 37.60/24.00 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4635,plain,
% 37.60/24.00 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36))),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 37.60/24.00 tff(4636,plain,
% 37.60/24.00 ((~v84(constB36, bitIndex1)) | (~v94(constB36))),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4635, 609, 4629])).
% 37.60/24.00 tff(4637,plain,
% 37.60/24.00 (~v84(constB36, bitIndex1)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4636, 4530])).
% 37.60/24.00 tff(4638,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4639,plain,
% 37.60/24.00 (((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1))) <=> (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4640,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1))))),
% 37.60/24.00 inference(monotonicity,[status(thm)],[4639])).
% 37.60/24.00 tff(4641,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 37.60/24.00 inference(transitivity,[status(thm)],[4640, 4638])).
% 37.60/24.00 tff(4642,plain,
% 37.60/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4643,plain,
% 37.60/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1))),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4642, 4641])).
% 37.60/24.00 tff(4644,plain,
% 37.60/24.00 (v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1))),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4643, 228, 4588])).
% 37.60/24.00 tff(4645,plain,
% 37.60/24.00 (v84(constB36, bitIndex1) | (~v84(constB37, bitIndex1))),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4644, 4600])).
% 37.60/24.00 tff(4646,plain,
% 37.60/24.00 (~v84(constB37, bitIndex1)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4645, 4637])).
% 37.60/24.00 tff(4647,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4648,plain,
% 37.60/24.00 ((v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0)) <=> (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4649,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)))),
% 37.60/24.00 inference(monotonicity,[status(thm)],[4648])).
% 37.60/24.00 tff(4650,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 37.60/24.00 inference(transitivity,[status(thm)],[4649, 4647])).
% 37.60/24.00 tff(4651,plain,
% 37.60/24.00 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4652,plain,
% 37.60/24.00 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4651, 4650])).
% 37.60/24.00 tff(4653,plain,
% 37.60/24.00 (v124(constB35, bitIndex0)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4652, 1272, 4554, 4550, 4546, 4542, 4538, 4534])).
% 37.60/24.00 tff(4654,plain,
% 37.60/24.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4655,plain,
% 37.60/24.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4656,plain,
% 37.60/24.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0)),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4655, 4654])).
% 37.60/24.00 tff(4657,plain,
% 37.60/24.00 ((~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4656, 1289, 4481])).
% 37.60/24.00 tff(4658,plain,
% 37.60/24.00 (v121(constB35, bitIndex0)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4657, 4653])).
% 37.60/24.00 tff(4659,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4660,plain,
% 37.60/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4661,plain,
% 37.60/24.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0)),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4660, 4659])).
% 37.60/24.00 tff(4662,plain,
% 37.60/24.00 ((~v121(constB35, bitIndex0)) | v123(constB36, bitIndex0)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4661, 1304, 4496])).
% 37.60/24.00 tff(4663,plain,
% 37.60/24.00 (v123(constB36, bitIndex0)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4662, 4658])).
% 37.60/24.00 tff(4664,plain,
% 37.60/24.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4665,plain,
% 37.60/24.00 ((v84(constB36, bitIndex0) | (~v94(constB36)) | (~v123(constB36, bitIndex0))) <=> (v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36)))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4666,plain,
% 37.60/24.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v94(constB36)) | (~v123(constB36, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36))))),
% 37.60/24.00 inference(monotonicity,[status(thm)],[4665])).
% 37.60/24.00 tff(4667,plain,
% 37.60/24.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v94(constB36)) | (~v123(constB36, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36)))),
% 37.60/24.00 inference(transitivity,[status(thm)],[4666, 4664])).
% 37.60/24.00 tff(4668,plain,
% 37.60/24.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~v94(constB36)) | (~v123(constB36, bitIndex0)))),
% 37.60/24.00 inference(quant_inst,[status(thm)],[])).
% 37.60/24.00 tff(4669,plain,
% 37.60/24.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~v123(constB36, bitIndex0)) | (~v94(constB36))),
% 37.60/24.00 inference(modus_ponens,[status(thm)],[4668, 4667])).
% 37.60/24.00 tff(4670,plain,
% 37.60/24.00 (v84(constB36, bitIndex0) | (~v94(constB36))),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4669, 1319, 4663])).
% 37.60/24.00 tff(4671,plain,
% 37.60/24.00 (v84(constB36, bitIndex0)),
% 37.60/24.00 inference(unit_resolution,[status(thm)],[4670, 4530])).
% 37.60/24.00 tff(4672,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4673,plain,
% 37.60/24.00 (((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0)) <=> ((~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0))),
% 37.60/24.00 inference(rewrite,[status(thm)],[])).
% 37.60/24.00 tff(4674,plain,
% 37.60/24.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0)))),
% 37.60/24.00 inference(monotonicity,[status(thm)],[4673])).
% 37.60/24.01 tff(4675,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0))),
% 37.60/24.01 inference(transitivity,[status(thm)],[4674, 4672])).
% 37.60/24.01 tff(4676,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4677,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex0)),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 37.60/24.01 tff(4678,plain,
% 37.60/24.01 ((~v84(constB36, bitIndex0)) | v94(constB37) | v84(constB37, bitIndex0)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4677, 1337, 4588])).
% 37.60/24.01 tff(4679,plain,
% 37.60/24.01 ((~v84(constB36, bitIndex0)) | v84(constB37, bitIndex0)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4678, 4600])).
% 37.60/24.01 tff(4680,plain,
% 37.60/24.01 (v84(constB37, bitIndex0)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4679, 4671])).
% 37.60/24.01 tff(4681,plain,
% 37.60/24.01 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB37, bitIndex0)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | v145(constB37))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB37, bitIndex0)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | v145(constB37))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4682,plain,
% 37.60/24.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB37, bitIndex0)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | v145(constB37))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4683,plain,
% 37.60/24.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB37, bitIndex0)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | v145(constB37)),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4682, 4681])).
% 37.60/24.01 tff(4684,plain,
% 37.60/24.01 (v145(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4683, 1356, 4680, 4646, 4609])).
% 37.60/24.01 tff(4685,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB37) | (~v145(constB37)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB37) | (~v145(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4686,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB37) | (~v145(constB37)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4687,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB37) | (~v145(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4686, 4685])).
% 37.60/24.01 tff(4688,plain,
% 37.60/24.01 (v112(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4687, 1367, 4684])).
% 37.60/24.01 tff(4689,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB37) | (~v112(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4690,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB37) | (~v112(constB37)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4691,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB37) | (~v112(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4690, 4689])).
% 37.60/24.01 tff(4692,plain,
% 37.60/24.01 (v111(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4691, 292, 4688])).
% 37.60/24.01 tff(4693,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB37) | (~v111(constB37)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB37) | (~v111(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4694,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB37) | (~v111(constB37)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4695,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB37) | (~v111(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 37.60/24.01 tff(4696,plain,
% 37.60/24.01 (v110(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4695, 303, 4692])).
% 37.60/24.01 tff(4697,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB37) | (~v110(constB37)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB37) | (~v110(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4698,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB37) | (~v110(constB37)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4699,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB37) | (~v110(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 37.60/24.01 tff(4700,plain,
% 37.60/24.01 (v109(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4699, 314, 4696])).
% 37.60/24.01 tff(4701,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB37) | (~v109(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB37) | (~v109(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4702,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB37) | (~v109(constB37)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4703,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB37) | (~v109(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4702, 4701])).
% 37.60/24.01 tff(4704,plain,
% 37.60/24.01 (v108(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4703, 325, 4700])).
% 37.60/24.01 tff(4705,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB37) | (~v108(constB37)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB37) | (~v108(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4706,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB37) | (~v108(constB37)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4707,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB37) | (~v108(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 37.60/24.01 tff(4708,plain,
% 37.60/24.01 (v107(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4707, 336, 4704])).
% 37.60/24.01 tff(4709,assumption,(~v102(constB37)), introduced(assumption)).
% 37.60/24.01 tff(4710,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB37) | (~v106(constB37)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB37) | (~v106(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4711,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB37) | (~v106(constB37)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4712,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB37) | (~v106(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 37.60/24.01 tff(4713,plain,
% 37.60/24.01 (~v106(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4712, 362, 4709])).
% 37.60/24.01 tff(4714,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB37) | (~v26(constB37)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB37) | (~v26(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4715,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB37) | (~v26(constB37)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4716,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB37) | (~v26(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 37.60/24.01 tff(4717,plain,
% 37.60/24.01 (~v26(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4716, 753, 4709])).
% 37.60/24.01 tff(4718,assumption,(v107(constB37)), introduced(assumption)).
% 37.60/24.01 tff(4719,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | v106(constB37) | (~v107(constB37)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4720,plain,
% 37.60/24.01 ((v26(constB37) | (~v107(constB37)) | v106(constB37)) <=> (v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4721,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | v106(constB37) | (~v107(constB37))))),
% 37.60/24.01 inference(monotonicity,[status(thm)],[4720])).
% 37.60/24.01 tff(4722,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 37.60/24.01 inference(transitivity,[status(thm)],[4721, 4719])).
% 37.60/24.01 tff(4723,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4724,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 37.60/24.01 tff(4725,plain,
% 37.60/24.01 (v26(constB37) | v106(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4724, 350, 4718])).
% 37.60/24.01 tff(4726,plain,
% 37.60/24.01 ($false),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4725, 4717, 4713])).
% 37.60/24.01 tff(4727,plain,(v102(constB37) | (~v107(constB37))), inference(lemma,lemma(discharge,[]))).
% 37.60/24.01 tff(4728,plain,
% 37.60/24.01 (v102(constB37)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4727, 4708])).
% 37.60/24.01 tff(4729,plain,
% 37.60/24.01 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4730,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 37.60/24.01 tff(4731,plain,
% 37.60/24.01 (nextState(constB37, constB38)),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 37.60/24.01 tff(4732,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4733,plain,
% 37.60/24.01 (((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38)) <=> ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4734,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37))))),
% 37.60/24.01 inference(monotonicity,[status(thm)],[4733])).
% 37.60/24.01 tff(4735,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 37.60/24.01 inference(transitivity,[status(thm)],[4734, 4732])).
% 37.60/24.01 tff(4736,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4737,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 37.60/24.01 tff(4738,plain,
% 37.60/24.01 (v104(constB38) | (~v102(constB37))),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4737, 379, 4731])).
% 37.60/24.01 tff(4739,plain,
% 37.60/24.01 (v104(constB38)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4738, 4728])).
% 37.60/24.01 tff(4740,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4741,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4742,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 37.60/24.01 tff(4743,plain,
% 37.60/24.01 (~v98(constB38)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4742, 397, 4731, 4585])).
% 37.60/24.01 tff(4744,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4745,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4746,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB37, constB38)) | v96(constB38) | v98(constB38)),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 37.60/24.01 tff(4747,plain,
% 37.60/24.01 (v96(constB38) | v98(constB38)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4746, 411, 4731])).
% 37.60/24.01 tff(4748,plain,
% 37.60/24.01 (v96(constB38)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4747, 4743])).
% 37.60/24.01 tff(4749,plain,
% 37.60/24.01 (v1(constB38) <=> v1(constB38)),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4750,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 37.60/24.01 tff(4751,plain,
% 37.60/24.01 (v1(constB38)),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4750, 4749])).
% 37.60/24.01 tff(4752,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4753,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4754,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 37.60/24.01 tff(4755,plain,
% 37.60/24.01 (v95(constB38) | (~v96(constB38))),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4754, 429, 4731, 4751])).
% 37.60/24.01 tff(4756,plain,
% 37.60/24.01 (v95(constB38)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4755, 4748])).
% 37.60/24.01 tff(4757,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4758,plain,
% 37.60/24.01 (((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38)) <=> ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4759,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38))))),
% 37.60/24.01 inference(monotonicity,[status(thm)],[4758])).
% 37.60/24.01 tff(4760,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 37.60/24.01 inference(transitivity,[status(thm)],[4759, 4757])).
% 37.60/24.01 tff(4761,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4762,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4761, 4760])).
% 37.60/24.01 tff(4763,plain,
% 37.60/24.01 (v94(constB38) | (~v95(constB38)) | (~v104(constB38))),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4762, 444, 4731])).
% 37.60/24.01 tff(4764,plain,
% 37.60/24.01 (v94(constB38) | (~v104(constB38))),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4763, 4756])).
% 37.60/24.01 tff(4765,plain,
% 37.60/24.01 (v94(constB38)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4764, 4739])).
% 37.60/24.01 tff(4766,plain,
% 37.60/24.01 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB37)) | (~v124(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB37)) | (~v124(constB37, bitIndex2)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4767,plain,
% 37.60/24.01 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB37)) | (~v124(constB37, bitIndex2)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4768,plain,
% 37.60/24.01 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB37)) | (~v124(constB37, bitIndex2))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 37.60/24.01 tff(4769,plain,
% 37.60/24.01 (~v124(constB37, bitIndex2)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4768, 1451, 4684])).
% 37.60/24.01 tff(4770,assumption,(v26(constB37)), introduced(assumption)).
% 37.60/24.01 tff(4771,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4772,plain,
% 37.60/24.01 ($false),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4771, 120, 4770])).
% 37.60/24.01 tff(4773,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 37.60/24.01 tff(4774,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4775,plain,
% 37.60/24.01 ((v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2))) <=> ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4776,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2)))),
% 37.60/24.01 inference(monotonicity,[status(thm)],[4775])).
% 37.60/24.01 tff(4777,plain,
% 37.60/24.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 37.60/24.01 inference(transitivity,[status(thm)],[4776, 4774])).
% 37.60/24.01 tff(4778,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4779,plain,
% 37.60/24.01 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2)),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 37.60/24.01 tff(4780,plain,
% 37.60/24.01 ((~v121(constB37, bitIndex2)) | v124(constB37, bitIndex2)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4779, 1147, 4773])).
% 37.60/24.01 tff(4781,plain,
% 37.60/24.01 (~v121(constB37, bitIndex2)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4780, 4769])).
% 37.60/24.01 tff(4782,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4783,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4784,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 37.60/24.01 tff(4785,plain,
% 37.60/24.01 (v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2))),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4784, 1165, 4731])).
% 37.60/24.01 tff(4786,plain,
% 37.60/24.01 (~v123(constB38, bitIndex2)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4785, 4781])).
% 37.60/24.01 tff(4787,plain,
% 37.60/24.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4788,plain,
% 37.60/24.01 (((~v84(constB38, bitIndex2)) | (~v94(constB38)) | v123(constB38, bitIndex2)) <=> ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4789,plain,
% 37.60/24.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | (~v94(constB38)) | v123(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38))))),
% 37.60/24.01 inference(monotonicity,[status(thm)],[4788])).
% 37.60/24.01 tff(4790,plain,
% 37.60/24.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | (~v94(constB38)) | v123(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 37.60/24.01 inference(transitivity,[status(thm)],[4789, 4787])).
% 37.60/24.01 tff(4791,plain,
% 37.60/24.01 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | (~v94(constB38)) | v123(constB38, bitIndex2))),
% 37.60/24.01 inference(quant_inst,[status(thm)],[])).
% 37.60/24.01 tff(4792,plain,
% 37.60/24.01 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38))),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4791, 4790])).
% 37.60/24.01 tff(4793,plain,
% 37.60/24.01 ((~v84(constB38, bitIndex2)) | (~v94(constB38))),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4792, 1180, 4786])).
% 37.60/24.01 tff(4794,plain,
% 37.60/24.01 (~v84(constB38, bitIndex2)),
% 37.60/24.01 inference(unit_resolution,[status(thm)],[4793, 4765])).
% 37.60/24.01 tff(4795,plain,
% 37.60/24.01 ((~v1(constB39)) <=> (~v1(constB39))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4796,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 37.60/24.01 tff(4797,plain,
% 37.60/24.01 (~v1(constB39)),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4796, 4795])).
% 37.60/24.01 tff(4798,plain,
% 37.60/24.01 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4799,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 37.60/24.01 tff(4800,plain,
% 37.60/24.01 (nextState(constB38, constB39)),
% 37.60/24.01 inference(modus_ponens,[status(thm)],[4799, 4798])).
% 37.60/24.01 tff(4801,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4802,plain,
% 37.60/24.01 (((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 37.60/24.01 inference(rewrite,[status(thm)],[])).
% 37.60/24.01 tff(4803,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39))))),
% 37.60/24.01 inference(monotonicity,[status(thm)],[4802])).
% 37.60/24.01 tff(4804,plain,
% 37.60/24.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 37.60/24.01 inference(transitivity,[status(thm)],[4803, 4801])).
% 37.60/24.01 tff(4805,plain,
% 37.60/24.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4806,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 37.60/24.02 tff(4807,plain,
% 37.60/24.02 (~v95(constB39)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4806, 175, 4800, 4797])).
% 37.60/24.02 tff(4808,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4809,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4810,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 37.60/24.02 tff(4811,plain,
% 37.60/24.02 (v95(constB39) | (~v94(constB39))),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4810, 192, 4800])).
% 37.60/24.02 tff(4812,plain,
% 37.60/24.02 (~v94(constB39)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4811, 4807])).
% 37.60/24.02 tff(4813,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4814,plain,
% 37.60/24.02 (((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2))) <=> (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4815,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2))))),
% 37.60/24.02 inference(monotonicity,[status(thm)],[4814])).
% 37.60/24.02 tff(4816,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 37.60/24.02 inference(transitivity,[status(thm)],[4815, 4813])).
% 37.60/24.02 tff(4817,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4818,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 37.60/24.02 tff(4819,plain,
% 37.60/24.02 (v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2))),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4818, 207, 4800])).
% 37.60/24.02 tff(4820,plain,
% 37.60/24.02 (v84(constB38, bitIndex2) | (~v84(constB39, bitIndex2))),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4819, 4812])).
% 37.60/24.02 tff(4821,plain,
% 37.60/24.02 (~v84(constB39, bitIndex2)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4820, 4794])).
% 37.60/24.02 tff(4822,plain,
% 37.60/24.02 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB37)) | v124(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB37)) | v124(constB37, bitIndex1))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4823,plain,
% 37.60/24.02 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB37)) | v124(constB37, bitIndex1))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4824,plain,
% 37.60/24.02 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB37)) | v124(constB37, bitIndex1)),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4823, 4822])).
% 37.60/24.02 tff(4825,plain,
% 37.60/24.02 (v124(constB37, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4824, 1513, 4684])).
% 37.60/24.02 tff(4826,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB37) | (~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB37) | (~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4827,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB37) | (~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4828,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB37) | (~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1)),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4827, 4826])).
% 37.60/24.02 tff(4829,plain,
% 37.60/24.02 ((~v124(constB37, bitIndex1)) | v121(constB37, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4828, 875, 4773])).
% 37.60/24.02 tff(4830,plain,
% 37.60/24.02 (v121(constB37, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4829, 4825])).
% 37.60/24.02 tff(4831,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4832,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4833,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1)),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 37.60/24.02 tff(4834,plain,
% 37.60/24.02 ((~v121(constB37, bitIndex1)) | v123(constB38, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4833, 890, 4731])).
% 37.60/24.02 tff(4835,plain,
% 37.60/24.02 (v123(constB38, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4834, 4830])).
% 37.60/24.02 tff(4836,plain,
% 37.60/24.02 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4837,plain,
% 37.60/24.02 ((v84(constB38, bitIndex1) | (~v94(constB38)) | (~v123(constB38, bitIndex1))) <=> (v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4838,plain,
% 37.60/24.02 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v94(constB38)) | (~v123(constB38, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38))))),
% 37.60/24.02 inference(monotonicity,[status(thm)],[4837])).
% 37.60/24.02 tff(4839,plain,
% 37.60/24.02 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v94(constB38)) | (~v123(constB38, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38)))),
% 37.60/24.02 inference(transitivity,[status(thm)],[4838, 4836])).
% 37.60/24.02 tff(4840,plain,
% 37.60/24.02 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~v94(constB38)) | (~v123(constB38, bitIndex1)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4841,plain,
% 37.60/24.02 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~v123(constB38, bitIndex1)) | (~v94(constB38))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4840, 4839])).
% 37.60/24.02 tff(4842,plain,
% 37.60/24.02 (v84(constB38, bitIndex1) | (~v94(constB38))),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4841, 905, 4835])).
% 37.60/24.02 tff(4843,plain,
% 37.60/24.02 (v84(constB38, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4842, 4765])).
% 37.60/24.02 tff(4844,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4845,plain,
% 37.60/24.02 (((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1)) <=> ((~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4846,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1)))),
% 37.60/24.02 inference(monotonicity,[status(thm)],[4845])).
% 37.60/24.02 tff(4847,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1))),
% 37.60/24.02 inference(transitivity,[status(thm)],[4846, 4844])).
% 37.60/24.02 tff(4848,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4849,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex1)),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 37.60/24.02 tff(4850,plain,
% 37.60/24.02 ((~v84(constB38, bitIndex1)) | v94(constB39) | v84(constB39, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4849, 923, 4800])).
% 37.60/24.02 tff(4851,plain,
% 37.60/24.02 ((~v84(constB38, bitIndex1)) | v84(constB39, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4850, 4812])).
% 37.60/24.02 tff(4852,plain,
% 37.60/24.02 (v84(constB39, bitIndex1)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4851, 4843])).
% 37.60/24.02 tff(4853,plain,
% 37.60/24.02 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB37)) | (~v124(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB37)) | (~v124(constB37, bitIndex0)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4854,plain,
% 37.60/24.02 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB37)) | (~v124(constB37, bitIndex0)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4855,plain,
% 37.60/24.02 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB37)) | (~v124(constB37, bitIndex0))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4854, 4853])).
% 37.60/24.02 tff(4856,plain,
% 37.60/24.02 (~v124(constB37, bitIndex0)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4855, 1554, 4684])).
% 37.60/24.02 tff(4857,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4858,plain,
% 37.60/24.02 ((v26(constB37) | v124(constB37, bitIndex0) | (~v121(constB37, bitIndex0))) <=> ((~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4859,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB37) | v124(constB37, bitIndex0) | (~v121(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0)))),
% 37.60/24.02 inference(monotonicity,[status(thm)],[4858])).
% 37.60/24.02 tff(4860,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB37) | v124(constB37, bitIndex0) | (~v121(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0))),
% 37.60/24.02 inference(transitivity,[status(thm)],[4859, 4857])).
% 37.60/24.02 tff(4861,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB37) | v124(constB37, bitIndex0) | (~v121(constB37, bitIndex0)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4862,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB37, bitIndex0)) | v26(constB37) | v124(constB37, bitIndex0)),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4861, 4860])).
% 37.60/24.02 tff(4863,plain,
% 37.60/24.02 ((~v121(constB37, bitIndex0)) | v124(constB37, bitIndex0)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4862, 650, 4773])).
% 37.60/24.02 tff(4864,plain,
% 37.60/24.02 (~v121(constB37, bitIndex0)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4863, 4856])).
% 37.60/24.02 tff(4865,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4866,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4867,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 37.60/24.02 tff(4868,plain,
% 37.60/24.02 (v121(constB37, bitIndex0) | (~v123(constB38, bitIndex0))),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4867, 668, 4731])).
% 37.60/24.02 tff(4869,plain,
% 37.60/24.02 (~v123(constB38, bitIndex0)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4868, 4864])).
% 37.60/24.02 tff(4870,plain,
% 37.60/24.02 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4871,plain,
% 37.60/24.02 (((~v84(constB38, bitIndex0)) | (~v94(constB38)) | v123(constB38, bitIndex0)) <=> ((~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4872,plain,
% 37.60/24.02 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~v94(constB38)) | v123(constB38, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38))))),
% 37.60/24.02 inference(monotonicity,[status(thm)],[4871])).
% 37.60/24.02 tff(4873,plain,
% 37.60/24.02 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~v94(constB38)) | v123(constB38, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38)))),
% 37.60/24.02 inference(transitivity,[status(thm)],[4872, 4870])).
% 37.60/24.02 tff(4874,plain,
% 37.60/24.02 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~v94(constB38)) | v123(constB38, bitIndex0))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4875,plain,
% 37.60/24.02 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | v123(constB38, bitIndex0) | (~v94(constB38))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 37.60/24.02 tff(4876,plain,
% 37.60/24.02 ((~v84(constB38, bitIndex0)) | (~v94(constB38))),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4875, 683, 4869])).
% 37.60/24.02 tff(4877,plain,
% 37.60/24.02 (~v84(constB38, bitIndex0)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4876, 4765])).
% 37.60/24.02 tff(4878,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4879,plain,
% 37.60/24.02 (((~nextState(constB38, constB39)) | v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0))) <=> (v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4880,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0))))),
% 37.60/24.02 inference(monotonicity,[status(thm)],[4879])).
% 37.60/24.02 tff(4881,plain,
% 37.60/24.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0)))),
% 37.60/24.02 inference(transitivity,[status(thm)],[4880, 4878])).
% 37.60/24.02 tff(4882,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4883,plain,
% 37.60/24.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex0))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 37.60/24.02 tff(4884,plain,
% 37.60/24.02 (v84(constB38, bitIndex0) | v94(constB39) | (~v84(constB39, bitIndex0))),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4883, 249, 4800])).
% 37.60/24.02 tff(4885,plain,
% 37.60/24.02 (v84(constB38, bitIndex0) | (~v84(constB39, bitIndex0))),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4884, 4812])).
% 37.60/24.02 tff(4886,plain,
% 37.60/24.02 (~v84(constB39, bitIndex0)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4885, 4877])).
% 37.60/24.02 tff(4887,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB39, bitIndex0) | (~v84(constB39, bitIndex1)) | v84(constB39, bitIndex2) | v115(constB39))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB39, bitIndex0) | (~v84(constB39, bitIndex1)) | v84(constB39, bitIndex2) | v115(constB39))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4888,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB39, bitIndex0) | (~v84(constB39, bitIndex1)) | v84(constB39, bitIndex2) | v115(constB39))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4889,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB39, bitIndex0) | (~v84(constB39, bitIndex1)) | v84(constB39, bitIndex2) | v115(constB39)),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4888, 4887])).
% 37.60/24.02 tff(4890,plain,
% 37.60/24.02 (v115(constB39)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4889, 1598, 4886, 4852, 4821])).
% 37.60/24.02 tff(4891,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB39) | (~v115(constB39)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4892,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB39) | (~v115(constB39)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4893,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB39) | (~v115(constB39))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4892, 4891])).
% 37.60/24.02 tff(4894,plain,
% 37.60/24.02 (v111(constB39)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4893, 1609, 4890])).
% 37.60/24.02 tff(4895,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB39) | (~v111(constB39)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB39) | (~v111(constB39)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4896,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB39) | (~v111(constB39)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4897,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB39) | (~v111(constB39))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4896, 4895])).
% 37.60/24.02 tff(4898,plain,
% 37.60/24.02 (v110(constB39)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4897, 303, 4894])).
% 37.60/24.02 tff(4899,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB39) | (~v110(constB39)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB39) | (~v110(constB39)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4900,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB39) | (~v110(constB39)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4901,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB39) | (~v110(constB39))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4900, 4899])).
% 37.60/24.02 tff(4902,plain,
% 37.60/24.02 (v109(constB39)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4901, 314, 4898])).
% 37.60/24.02 tff(4903,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB39) | (~v109(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB39) | (~v109(constB39)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4904,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB39) | (~v109(constB39)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4905,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB39) | (~v109(constB39))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4904, 4903])).
% 37.60/24.02 tff(4906,plain,
% 37.60/24.02 (v108(constB39)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4905, 325, 4902])).
% 37.60/24.02 tff(4907,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB39) | (~v108(constB39)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB39) | (~v108(constB39)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4908,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB39) | (~v108(constB39)))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4909,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB39) | (~v108(constB39))),
% 37.60/24.02 inference(modus_ponens,[status(thm)],[4908, 4907])).
% 37.60/24.02 tff(4910,plain,
% 37.60/24.02 (v107(constB39)),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4909, 336, 4906])).
% 37.60/24.02 tff(4911,assumption,(v26(constB39)), introduced(assumption)).
% 37.60/24.02 tff(4912,plain,
% 37.60/24.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 37.60/24.02 inference(quant_inst,[status(thm)],[])).
% 37.60/24.02 tff(4913,plain,
% 37.60/24.02 ($false),
% 37.60/24.02 inference(unit_resolution,[status(thm)],[4912, 120, 4911])).
% 37.60/24.02 tff(4914,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 37.60/24.02 tff(4915,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | v106(constB39) | (~v107(constB39)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4916,plain,
% 37.60/24.02 ((v26(constB39) | (~v107(constB39)) | v106(constB39)) <=> (v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 37.60/24.02 inference(rewrite,[status(thm)],[])).
% 37.60/24.02 tff(4917,plain,
% 37.60/24.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | v106(constB39) | (~v107(constB39))))),
% 37.60/24.02 inference(monotonicity,[status(thm)],[4916])).
% 37.60/24.03 tff(4918,plain,
% 37.60/24.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 37.60/24.03 inference(transitivity,[status(thm)],[4917, 4915])).
% 37.60/24.03 tff(4919,plain,
% 37.60/24.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4920,plain,
% 37.60/24.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4919, 4918])).
% 37.60/24.03 tff(4921,plain,
% 37.60/24.03 (v106(constB39) | (~v107(constB39))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4920, 350, 4914])).
% 37.60/24.03 tff(4922,plain,
% 37.60/24.03 (v106(constB39)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4921, 4910])).
% 37.60/24.03 tff(4923,plain,
% 37.60/24.03 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB39) | (~v106(constB39)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB39) | (~v106(constB39)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4924,plain,
% 37.60/24.03 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB39) | (~v106(constB39)))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4925,plain,
% 37.60/24.03 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB39) | (~v106(constB39))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4924, 4923])).
% 37.60/24.03 tff(4926,plain,
% 37.60/24.03 (v102(constB39)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4925, 362, 4922])).
% 37.60/24.03 tff(4927,plain,
% 37.60/24.03 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4928,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 37.60/24.03 tff(4929,plain,
% 37.60/24.03 (nextState(constB39, constB40)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 37.60/24.03 tff(4930,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4931,plain,
% 37.60/24.03 (((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40)) <=> ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4932,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39))))),
% 37.60/24.03 inference(monotonicity,[status(thm)],[4931])).
% 37.60/24.03 tff(4933,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 37.60/24.03 inference(transitivity,[status(thm)],[4932, 4930])).
% 37.60/24.03 tff(4934,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4935,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 37.60/24.03 tff(4936,plain,
% 37.60/24.03 (v104(constB40) | (~v102(constB39))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4935, 379, 4929])).
% 37.60/24.03 tff(4937,plain,
% 37.60/24.03 (v104(constB40)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4936, 4926])).
% 37.60/24.03 tff(4938,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4939,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4940,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 37.60/24.03 tff(4941,plain,
% 37.60/24.03 (~v98(constB40)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4940, 397, 4929, 4797])).
% 37.60/24.03 tff(4942,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4943,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4944,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB39, constB40)) | v96(constB40) | v98(constB40)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4943, 4942])).
% 37.60/24.03 tff(4945,plain,
% 37.60/24.03 (v96(constB40) | v98(constB40)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4944, 411, 4929])).
% 37.60/24.03 tff(4946,plain,
% 37.60/24.03 (v96(constB40)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4945, 4941])).
% 37.60/24.03 tff(4947,plain,
% 37.60/24.03 (v1(constB40) <=> v1(constB40)),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4948,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 37.60/24.03 tff(4949,plain,
% 37.60/24.03 (v1(constB40)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 37.60/24.03 tff(4950,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4951,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4952,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4951, 4950])).
% 37.60/24.03 tff(4953,plain,
% 37.60/24.03 (v95(constB40) | (~v96(constB40))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4952, 429, 4929, 4949])).
% 37.60/24.03 tff(4954,plain,
% 37.60/24.03 (v95(constB40)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4953, 4946])).
% 37.60/24.03 tff(4955,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4956,plain,
% 37.60/24.03 (((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40)) <=> ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4957,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40))))),
% 37.60/24.03 inference(monotonicity,[status(thm)],[4956])).
% 37.60/24.03 tff(4958,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 37.60/24.03 inference(transitivity,[status(thm)],[4957, 4955])).
% 37.60/24.03 tff(4959,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4960,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4959, 4958])).
% 37.60/24.03 tff(4961,plain,
% 37.60/24.03 (v94(constB40) | (~v95(constB40)) | (~v104(constB40))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4960, 444, 4929])).
% 37.60/24.03 tff(4962,plain,
% 37.60/24.03 (v94(constB40) | (~v104(constB40))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4961, 4954])).
% 37.60/24.03 tff(4963,plain,
% 37.60/24.03 (v94(constB40)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4962, 4937])).
% 37.60/24.03 tff(4964,plain,
% 37.60/24.03 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB39)) | (~v124(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB39)) | (~v124(constB39, bitIndex2)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4965,plain,
% 37.60/24.03 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB39)) | (~v124(constB39, bitIndex2)))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4966,plain,
% 37.60/24.03 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB39)) | (~v124(constB39, bitIndex2))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 37.60/24.03 tff(4967,plain,
% 37.60/24.03 (~v124(constB39, bitIndex2)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4966, 1688, 4890])).
% 37.60/24.03 tff(4968,plain,
% 37.60/24.03 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4969,plain,
% 37.60/24.03 ((v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2))) <=> ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4970,plain,
% 37.60/24.03 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2)))),
% 37.60/24.03 inference(monotonicity,[status(thm)],[4969])).
% 37.60/24.03 tff(4971,plain,
% 37.60/24.03 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 37.60/24.03 inference(transitivity,[status(thm)],[4970, 4968])).
% 37.60/24.03 tff(4972,plain,
% 37.60/24.03 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4973,plain,
% 37.60/24.03 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4972, 4971])).
% 37.60/24.03 tff(4974,plain,
% 37.60/24.03 ((~v121(constB39, bitIndex2)) | v124(constB39, bitIndex2)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4973, 1147, 4914])).
% 37.60/24.03 tff(4975,plain,
% 37.60/24.03 (~v121(constB39, bitIndex2)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4974, 4967])).
% 37.60/24.03 tff(4976,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4977,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4978,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 37.60/24.03 tff(4979,plain,
% 37.60/24.03 (v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4978, 1165, 4929])).
% 37.60/24.03 tff(4980,plain,
% 37.60/24.03 (~v123(constB40, bitIndex2)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4979, 4975])).
% 37.60/24.03 tff(4981,plain,
% 37.60/24.03 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4982,plain,
% 37.60/24.03 (((~v84(constB40, bitIndex2)) | (~v94(constB40)) | v123(constB40, bitIndex2)) <=> ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4983,plain,
% 37.60/24.03 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | (~v94(constB40)) | v123(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40))))),
% 37.60/24.03 inference(monotonicity,[status(thm)],[4982])).
% 37.60/24.03 tff(4984,plain,
% 37.60/24.03 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | (~v94(constB40)) | v123(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 37.60/24.03 inference(transitivity,[status(thm)],[4983, 4981])).
% 37.60/24.03 tff(4985,plain,
% 37.60/24.03 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | (~v94(constB40)) | v123(constB40, bitIndex2))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(4986,plain,
% 37.60/24.03 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 37.60/24.03 tff(4987,plain,
% 37.60/24.03 ((~v84(constB40, bitIndex2)) | (~v94(constB40))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4986, 1180, 4980])).
% 37.60/24.03 tff(4988,plain,
% 37.60/24.03 (~v84(constB40, bitIndex2)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[4987, 4963])).
% 37.60/24.03 tff(4989,plain,
% 37.60/24.03 ((~v1(constB41)) <=> (~v1(constB41))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4990,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 37.60/24.03 tff(4991,plain,
% 37.60/24.03 (~v1(constB41)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4990, 4989])).
% 37.60/24.03 tff(4992,plain,
% 37.60/24.03 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4993,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 37.60/24.03 tff(4994,plain,
% 37.60/24.03 (nextState(constB40, constB41)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 37.60/24.03 tff(4995,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4996,plain,
% 37.60/24.03 (((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(4997,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41))))),
% 37.60/24.03 inference(monotonicity,[status(thm)],[4996])).
% 37.60/24.03 tff(4998,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 37.60/24.03 inference(transitivity,[status(thm)],[4997, 4995])).
% 37.60/24.03 tff(4999,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(5000,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 37.60/24.03 tff(5001,plain,
% 37.60/24.03 (~v95(constB41)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5000, 175, 4994, 4991])).
% 37.60/24.03 tff(5002,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(5003,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(5004,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[5003, 5002])).
% 37.60/24.03 tff(5005,plain,
% 37.60/24.03 (v95(constB41) | (~v94(constB41))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5004, 192, 4994])).
% 37.60/24.03 tff(5006,plain,
% 37.60/24.03 (~v94(constB41)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5005, 5001])).
% 37.60/24.03 tff(5007,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(5008,plain,
% 37.60/24.03 (((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2))) <=> (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(5009,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2))))),
% 37.60/24.03 inference(monotonicity,[status(thm)],[5008])).
% 37.60/24.03 tff(5010,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 37.60/24.03 inference(transitivity,[status(thm)],[5009, 5007])).
% 37.60/24.03 tff(5011,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(5012,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2))),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[5011, 5010])).
% 37.60/24.03 tff(5013,plain,
% 37.60/24.03 (v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5012, 207, 4994])).
% 37.60/24.03 tff(5014,plain,
% 37.60/24.03 (v84(constB40, bitIndex2) | (~v84(constB41, bitIndex2))),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5013, 5006])).
% 37.60/24.03 tff(5015,plain,
% 37.60/24.03 (~v84(constB41, bitIndex2)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5014, 4988])).
% 37.60/24.03 tff(5016,plain,
% 37.60/24.03 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB39)) | v124(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB39)) | v124(constB39, bitIndex1))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(5017,plain,
% 37.60/24.03 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB39)) | v124(constB39, bitIndex1))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(5018,plain,
% 37.60/24.03 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB39)) | v124(constB39, bitIndex1)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 37.60/24.03 tff(5019,plain,
% 37.60/24.03 (v124(constB39, bitIndex1)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5018, 1750, 4890])).
% 37.60/24.03 tff(5020,plain,
% 37.60/24.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(5021,plain,
% 37.60/24.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(5022,plain,
% 37.60/24.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 37.60/24.03 tff(5023,plain,
% 37.60/24.03 ((~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5022, 875, 4914])).
% 37.60/24.03 tff(5024,plain,
% 37.60/24.03 (v121(constB39, bitIndex1)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5023, 5019])).
% 37.60/24.03 tff(5025,plain,
% 37.60/24.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(5026,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))),
% 37.60/24.03 inference(quant_inst,[status(thm)],[])).
% 37.60/24.03 tff(5027,plain,
% 37.60/24.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1)),
% 37.60/24.03 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 37.60/24.03 tff(5028,plain,
% 37.60/24.03 ((~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5027, 890, 4929])).
% 37.60/24.03 tff(5029,plain,
% 37.60/24.03 (v123(constB40, bitIndex1)),
% 37.60/24.03 inference(unit_resolution,[status(thm)],[5028, 5024])).
% 37.60/24.03 tff(5030,plain,
% 37.60/24.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(5031,plain,
% 37.60/24.03 ((v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1))) <=> (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 37.60/24.03 inference(rewrite,[status(thm)],[])).
% 37.60/24.03 tff(5032,plain,
% 37.60/24.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40))))),
% 37.60/24.03 inference(monotonicity,[status(thm)],[5031])).
% 37.60/24.03 tff(5033,plain,
% 37.60/24.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 37.60/24.04 inference(transitivity,[status(thm)],[5032, 5030])).
% 37.60/24.04 tff(5034,plain,
% 37.60/24.04 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5035,plain,
% 37.60/24.04 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5034, 5033])).
% 37.60/24.04 tff(5036,plain,
% 37.60/24.04 (v84(constB40, bitIndex1) | (~v94(constB40))),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5035, 905, 5029])).
% 37.60/24.04 tff(5037,plain,
% 37.60/24.04 (v84(constB40, bitIndex1)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5036, 4963])).
% 37.60/24.04 tff(5038,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5039,plain,
% 37.60/24.04 (((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1)) <=> ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5040,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1)))),
% 37.60/24.04 inference(monotonicity,[status(thm)],[5039])).
% 37.60/24.04 tff(5041,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 37.60/24.04 inference(transitivity,[status(thm)],[5040, 5038])).
% 37.60/24.04 tff(5042,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5043,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5042, 5041])).
% 37.60/24.04 tff(5044,plain,
% 37.60/24.04 ((~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5043, 923, 4994])).
% 37.60/24.04 tff(5045,plain,
% 37.60/24.04 ((~v84(constB40, bitIndex1)) | v84(constB41, bitIndex1)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5044, 5006])).
% 37.60/24.04 tff(5046,plain,
% 37.60/24.04 (v84(constB41, bitIndex1)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5045, 5037])).
% 37.60/24.04 tff(5047,plain,
% 37.60/24.04 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB39)) | v124(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB39)) | v124(constB39, bitIndex0))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5048,plain,
% 37.60/24.04 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB39)) | v124(constB39, bitIndex0))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5049,plain,
% 37.60/24.04 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB39)) | v124(constB39, bitIndex0)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5048, 5047])).
% 37.60/24.04 tff(5050,plain,
% 37.60/24.04 (v124(constB39, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5049, 1791, 4890])).
% 37.60/24.04 tff(5051,plain,
% 37.60/24.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB39) | (~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB39) | (~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5052,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB39) | (~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5053,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB39) | (~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 37.60/24.04 tff(5054,plain,
% 37.60/24.04 ((~v124(constB39, bitIndex0)) | v121(constB39, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5053, 1289, 4914])).
% 37.60/24.04 tff(5055,plain,
% 37.60/24.04 (v121(constB39, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5054, 5050])).
% 37.60/24.04 tff(5056,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5057,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5058,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 37.60/24.04 tff(5059,plain,
% 37.60/24.04 ((~v121(constB39, bitIndex0)) | v123(constB40, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5058, 1304, 4929])).
% 37.60/24.04 tff(5060,plain,
% 37.60/24.04 (v123(constB40, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5059, 5055])).
% 37.60/24.04 tff(5061,plain,
% 37.60/24.04 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5062,plain,
% 37.60/24.04 ((v84(constB40, bitIndex0) | (~v94(constB40)) | (~v123(constB40, bitIndex0))) <=> (v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5063,plain,
% 37.60/24.04 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v94(constB40)) | (~v123(constB40, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40))))),
% 37.60/24.04 inference(monotonicity,[status(thm)],[5062])).
% 37.60/24.04 tff(5064,plain,
% 37.60/24.04 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v94(constB40)) | (~v123(constB40, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40)))),
% 37.60/24.04 inference(transitivity,[status(thm)],[5063, 5061])).
% 37.60/24.04 tff(5065,plain,
% 37.60/24.04 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~v94(constB40)) | (~v123(constB40, bitIndex0)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5066,plain,
% 37.60/24.04 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~v123(constB40, bitIndex0)) | (~v94(constB40))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 37.60/24.04 tff(5067,plain,
% 37.60/24.04 (v84(constB40, bitIndex0) | (~v94(constB40))),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5066, 1319, 5060])).
% 37.60/24.04 tff(5068,plain,
% 37.60/24.04 (v84(constB40, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5067, 4963])).
% 37.60/24.04 tff(5069,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5070,plain,
% 37.60/24.04 (((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0)) <=> ((~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5071,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0)))),
% 37.60/24.04 inference(monotonicity,[status(thm)],[5070])).
% 37.60/24.04 tff(5072,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0))),
% 37.60/24.04 inference(transitivity,[status(thm)],[5071, 5069])).
% 37.60/24.04 tff(5073,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5074,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex0)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 37.60/24.04 tff(5075,plain,
% 37.60/24.04 ((~v84(constB40, bitIndex0)) | v94(constB41) | v84(constB41, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5074, 1337, 4994])).
% 37.60/24.04 tff(5076,plain,
% 37.60/24.04 ((~v84(constB40, bitIndex0)) | v84(constB41, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5075, 5006])).
% 37.60/24.04 tff(5077,plain,
% 37.60/24.04 (v84(constB41, bitIndex0)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5076, 5068])).
% 37.60/24.04 tff(5078,plain,
% 37.60/24.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB41, bitIndex0)) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v116(constB41))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB41, bitIndex0)) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v116(constB41))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5079,plain,
% 37.60/24.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB41, bitIndex0)) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v116(constB41))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5080,plain,
% 37.60/24.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB41, bitIndex0)) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v116(constB41)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 37.60/24.04 tff(5081,plain,
% 37.60/24.04 (v116(constB41)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5080, 1832, 5077, 5046, 5015])).
% 37.60/24.04 tff(5082,plain,
% 37.60/24.04 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB41) | (~v116(constB41)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5083,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB41) | (~v116(constB41)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5084,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB41) | (~v116(constB41))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 37.60/24.04 tff(5085,plain,
% 37.60/24.04 (v110(constB41)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5084, 1843, 5081])).
% 37.60/24.04 tff(5086,plain,
% 37.60/24.04 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB41) | (~v110(constB41)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB41) | (~v110(constB41)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5087,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB41) | (~v110(constB41)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5088,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB41) | (~v110(constB41))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5087, 5086])).
% 37.60/24.04 tff(5089,plain,
% 37.60/24.04 (v109(constB41)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5088, 314, 5085])).
% 37.60/24.04 tff(5090,plain,
% 37.60/24.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB41) | (~v109(constB41)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB41) | (~v109(constB41)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5091,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB41) | (~v109(constB41)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5092,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB41) | (~v109(constB41))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5091, 5090])).
% 37.60/24.04 tff(5093,plain,
% 37.60/24.04 (v108(constB41)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5092, 325, 5089])).
% 37.60/24.04 tff(5094,plain,
% 37.60/24.04 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB41) | (~v108(constB41)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB41) | (~v108(constB41)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5095,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB41) | (~v108(constB41)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5096,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB41) | (~v108(constB41))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5095, 5094])).
% 37.60/24.04 tff(5097,plain,
% 37.60/24.04 (v107(constB41)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5096, 336, 5093])).
% 37.60/24.04 tff(5098,assumption,(v26(constB41)), introduced(assumption)).
% 37.60/24.04 tff(5099,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5100,plain,
% 37.60/24.04 ($false),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5099, 120, 5098])).
% 37.60/24.04 tff(5101,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 37.60/24.04 tff(5102,plain,
% 37.60/24.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | (~v107(constB41)) | v106(constB41))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5103,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5104,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | (~v107(constB41)) | v106(constB41)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 37.60/24.04 tff(5105,plain,
% 37.60/24.04 ((~v107(constB41)) | v106(constB41)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5104, 350, 5101])).
% 37.60/24.04 tff(5106,plain,
% 37.60/24.04 (v106(constB41)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5105, 5097])).
% 37.60/24.04 tff(5107,plain,
% 37.60/24.04 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB41) | (~v106(constB41)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB41) | (~v106(constB41)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5108,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB41) | (~v106(constB41)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5109,plain,
% 37.60/24.04 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB41) | (~v106(constB41))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 37.60/24.04 tff(5110,plain,
% 37.60/24.04 (v102(constB41)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5109, 362, 5106])).
% 37.60/24.04 tff(5111,plain,
% 37.60/24.04 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5112,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 37.60/24.04 tff(5113,plain,
% 37.60/24.04 (nextState(constB41, constB42)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 37.60/24.04 tff(5114,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5115,plain,
% 37.60/24.04 (((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42)) <=> ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5116,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41))))),
% 37.60/24.04 inference(monotonicity,[status(thm)],[5115])).
% 37.60/24.04 tff(5117,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 37.60/24.04 inference(transitivity,[status(thm)],[5116, 5114])).
% 37.60/24.04 tff(5118,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5119,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5118, 5117])).
% 37.60/24.04 tff(5120,plain,
% 37.60/24.04 (v104(constB42) | (~v102(constB41))),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5119, 379, 5113])).
% 37.60/24.04 tff(5121,plain,
% 37.60/24.04 (v104(constB42)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5120, 5110])).
% 37.60/24.04 tff(5122,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5123,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5124,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 37.60/24.04 tff(5125,plain,
% 37.60/24.04 (~v98(constB42)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5124, 397, 5113, 4991])).
% 37.60/24.04 tff(5126,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5127,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5128,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB41, constB42)) | v96(constB42) | v98(constB42)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 37.60/24.04 tff(5129,plain,
% 37.60/24.04 (v96(constB42) | v98(constB42)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5128, 411, 5113])).
% 37.60/24.04 tff(5130,plain,
% 37.60/24.04 (v96(constB42)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5129, 5125])).
% 37.60/24.04 tff(5131,plain,
% 37.60/24.04 (v1(constB42) <=> v1(constB42)),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5132,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 37.60/24.04 tff(5133,plain,
% 37.60/24.04 (v1(constB42)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5132, 5131])).
% 37.60/24.04 tff(5134,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5135,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5136,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 37.60/24.04 tff(5137,plain,
% 37.60/24.04 (v95(constB42) | (~v96(constB42))),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5136, 429, 5113, 5133])).
% 37.60/24.04 tff(5138,plain,
% 37.60/24.04 (v95(constB42)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5137, 5130])).
% 37.60/24.04 tff(5139,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5140,plain,
% 37.60/24.04 (((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42)) <=> ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5141,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42))))),
% 37.60/24.04 inference(monotonicity,[status(thm)],[5140])).
% 37.60/24.04 tff(5142,plain,
% 37.60/24.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 37.60/24.04 inference(transitivity,[status(thm)],[5141, 5139])).
% 37.60/24.04 tff(5143,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5144,plain,
% 37.60/24.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42))),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 37.60/24.04 tff(5145,plain,
% 37.60/24.04 (v94(constB42) | (~v95(constB42)) | (~v104(constB42))),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5144, 444, 5113])).
% 37.60/24.04 tff(5146,plain,
% 37.60/24.04 (v94(constB42) | (~v104(constB42))),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5145, 5138])).
% 37.60/24.04 tff(5147,plain,
% 37.60/24.04 (v94(constB42)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5146, 5121])).
% 37.60/24.04 tff(5148,plain,
% 37.60/24.04 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB41)) | v124(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB41)) | v124(constB41, bitIndex2))),
% 37.60/24.04 inference(rewrite,[status(thm)],[])).
% 37.60/24.04 tff(5149,plain,
% 37.60/24.04 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB41)) | v124(constB41, bitIndex2))),
% 37.60/24.04 inference(quant_inst,[status(thm)],[])).
% 37.60/24.04 tff(5150,plain,
% 37.60/24.04 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB41)) | v124(constB41, bitIndex2)),
% 37.60/24.04 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 37.60/24.04 tff(5151,plain,
% 37.60/24.04 (v124(constB41, bitIndex2)),
% 37.60/24.04 inference(unit_resolution,[status(thm)],[5150, 1918, 5081])).
% 37.60/24.04 tff(5152,plain,
% 37.60/24.04 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))))),
% 37.60/24.04 inference(bind,[status(th)],[])).
% 37.60/24.04 tff(5153,plain,
% 37.60/24.04 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 37.60/24.04 inference(quant_intro,[status(thm)],[5152])).
% 37.60/24.04 tff(5154,plain,
% 37.60/24.05 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5155,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 37.60/24.05 tff(5156,plain,
% 37.60/24.05 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5155, 5154])).
% 37.60/24.05 tff(5157,plain,(
% 37.60/24.05 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 37.60/24.05 inference(skolemize,[status(sab)],[5156])).
% 37.60/24.05 tff(5158,plain,
% 37.60/24.05 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5157, 5153])).
% 37.60/24.05 tff(5159,plain,
% 37.60/24.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB41, bitIndex0)) | (~v172(constB41)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB41, bitIndex0)) | (~v172(constB41)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5160,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB41, bitIndex0)) | (~v172(constB41)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5161,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB41, bitIndex0)) | (~v172(constB41))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5160, 5159])).
% 37.60/24.05 tff(5162,plain,
% 37.60/24.05 (~v172(constB41)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5161, 5158, 5077])).
% 37.60/24.05 tff(5163,plain,
% 37.60/24.05 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))))),
% 37.60/24.05 inference(bind,[status(th)],[])).
% 37.60/24.05 tff(5164,plain,
% 37.60/24.05 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 37.60/24.05 inference(quant_intro,[status(thm)],[5163])).
% 37.60/24.05 tff(5165,plain,
% 37.60/24.05 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5166,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 37.60/24.05 tff(5167,plain,
% 37.60/24.05 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5166, 5165])).
% 37.60/24.05 tff(5168,plain,(
% 37.60/24.05 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 37.60/24.05 inference(skolemize,[status(sab)],[5167])).
% 37.60/24.05 tff(5169,plain,
% 37.60/24.05 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5168, 5164])).
% 37.60/24.05 tff(5170,plain,
% 37.60/24.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB41, bitIndex0)) | (~v115(constB41)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB41, bitIndex0)) | (~v115(constB41)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5171,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB41, bitIndex0)) | (~v115(constB41)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5172,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB41, bitIndex0)) | (~v115(constB41))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 37.60/24.05 tff(5173,plain,
% 37.60/24.05 (~v115(constB41)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5172, 5169, 5077])).
% 37.60/24.05 tff(5174,assumption,(~v115(constB41)), introduced(assumption)).
% 37.60/24.05 tff(5175,assumption,(v124(constB41, bitIndex1)), introduced(assumption)).
% 37.60/24.05 tff(5176,plain,
% 37.60/24.05 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB41)) | (~v124(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB41)) | (~v124(constB41, bitIndex1)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5177,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB41)) | (~v124(constB41, bitIndex1)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5178,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB41)) | (~v124(constB41, bitIndex1))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5177, 5176])).
% 37.60/24.05 tff(5179,plain,
% 37.60/24.05 (~v116(constB41)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5178, 1977, 5175])).
% 37.60/24.05 tff(5180,assumption,(~v172(constB41)), introduced(assumption)).
% 37.60/24.05 tff(5181,plain,
% 37.60/24.05 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB41)) | (~v124(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB41)) | (~v124(constB41, bitIndex1)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5182,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB41)) | (~v124(constB41, bitIndex1)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5183,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB41)) | (~v124(constB41, bitIndex1))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 37.60/24.05 tff(5184,plain,
% 37.60/24.05 (~v113(constB41)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5183, 562, 5175])).
% 37.60/24.05 tff(5185,assumption,(v84(constB41, bitIndex1)), introduced(assumption)).
% 37.60/24.05 tff(5186,plain,
% 37.60/24.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB41, bitIndex1)) | (~v145(constB41)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB41, bitIndex1)) | (~v145(constB41)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5187,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB41, bitIndex1)) | (~v145(constB41)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5188,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB41, bitIndex1)) | (~v145(constB41))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5187, 5186])).
% 37.60/24.05 tff(5189,plain,
% 37.60/24.05 (~v145(constB41)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5188, 1116, 5185])).
% 37.60/24.05 tff(5190,plain,
% 37.60/24.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB41, bitIndex1)) | (~v118(constB41)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB41, bitIndex1)) | (~v118(constB41)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5191,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB41, bitIndex1)) | (~v118(constB41)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5192,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB41, bitIndex1)) | (~v118(constB41))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5191, 5190])).
% 37.60/24.05 tff(5193,plain,
% 37.60/24.05 (~v118(constB41)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5192, 1094, 5185])).
% 37.60/24.05 tff(5194,plain,
% 37.60/24.05 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | (~v124(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | (~v124(constB41, bitIndex1)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5195,plain,
% 37.60/24.05 ((v113(constB41) | v145(constB41) | v115(constB41) | v116(constB41) | v172(constB41) | v118(constB41) | (~v124(constB41, bitIndex1))) <=> (v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | (~v124(constB41, bitIndex1)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5196,plain,
% 37.60/24.05 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB41) | v145(constB41) | v115(constB41) | v116(constB41) | v172(constB41) | v118(constB41) | (~v124(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | (~v124(constB41, bitIndex1))))),
% 37.60/24.05 inference(monotonicity,[status(thm)],[5195])).
% 37.60/24.05 tff(5197,plain,
% 37.60/24.05 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB41) | v145(constB41) | v115(constB41) | v116(constB41) | v172(constB41) | v118(constB41) | (~v124(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | (~v124(constB41, bitIndex1)))),
% 37.60/24.05 inference(transitivity,[status(thm)],[5196, 5194])).
% 37.60/24.05 tff(5198,plain,
% 37.60/24.05 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB41) | v145(constB41) | v115(constB41) | v116(constB41) | v172(constB41) | v118(constB41) | (~v124(constB41, bitIndex1)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5199,plain,
% 37.60/24.05 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | (~v124(constB41, bitIndex1))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5198, 5197])).
% 37.60/24.05 tff(5200,plain,
% 37.60/24.05 (v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5199, 1225, 5175])).
% 37.60/24.05 tff(5201,plain,
% 37.60/24.05 ($false),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5200, 5193, 5189, 5184, 5180, 5179, 5174])).
% 37.60/24.05 tff(5202,plain,((~v84(constB41, bitIndex1)) | v172(constB41) | v115(constB41) | (~v124(constB41, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 37.60/24.05 tff(5203,plain,
% 37.60/24.05 (~v124(constB41, bitIndex1)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5202, 5173, 5046, 5162])).
% 37.60/24.05 tff(5204,plain,
% 37.60/24.05 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB41)) | (~v124(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB41)) | (~v124(constB41, bitIndex0)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5205,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB41)) | (~v124(constB41, bitIndex0)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5206,plain,
% 37.60/24.05 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB41)) | (~v124(constB41, bitIndex0))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 37.60/24.05 tff(5207,plain,
% 37.60/24.05 (~v124(constB41, bitIndex0)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5206, 2021, 5081])).
% 37.60/24.05 tff(5208,plain,
% 37.60/24.05 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5209,plain,
% 37.60/24.05 ((v26(constB41) | v124(constB41, bitIndex0) | (~v121(constB41, bitIndex0))) <=> ((~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5210,plain,
% 37.60/24.05 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB41) | v124(constB41, bitIndex0) | (~v121(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0)))),
% 37.60/24.05 inference(monotonicity,[status(thm)],[5209])).
% 37.60/24.05 tff(5211,plain,
% 37.60/24.05 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB41) | v124(constB41, bitIndex0) | (~v121(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0))),
% 37.60/24.05 inference(transitivity,[status(thm)],[5210, 5208])).
% 37.60/24.05 tff(5212,plain,
% 37.60/24.05 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB41) | v124(constB41, bitIndex0) | (~v121(constB41, bitIndex0)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5213,plain,
% 37.60/24.05 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB41, bitIndex0)) | v26(constB41) | v124(constB41, bitIndex0)),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5212, 5211])).
% 37.60/24.05 tff(5214,plain,
% 37.60/24.05 ((~v121(constB41, bitIndex0)) | v124(constB41, bitIndex0)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5213, 650, 5101])).
% 37.60/24.05 tff(5215,plain,
% 37.60/24.05 (~v121(constB41, bitIndex0)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5214, 5207])).
% 37.60/24.05 tff(5216,plain,
% 37.60/24.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5217,plain,
% 37.60/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0)))),
% 37.60/24.05 inference(quant_inst,[status(thm)],[])).
% 37.60/24.05 tff(5218,plain,
% 37.60/24.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0))),
% 37.60/24.05 inference(modus_ponens,[status(thm)],[5217, 5216])).
% 37.60/24.05 tff(5219,plain,
% 37.60/24.05 (v121(constB41, bitIndex0) | (~v123(constB42, bitIndex0))),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5218, 668, 5113])).
% 37.60/24.05 tff(5220,plain,
% 37.60/24.05 (~v123(constB42, bitIndex0)),
% 37.60/24.05 inference(unit_resolution,[status(thm)],[5219, 5215])).
% 37.60/24.05 tff(5221,plain,
% 37.60/24.05 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5222,plain,
% 37.60/24.05 (((~v84(constB42, bitIndex0)) | (~v94(constB42)) | v123(constB42, bitIndex0)) <=> ((~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42)))),
% 37.60/24.05 inference(rewrite,[status(thm)],[])).
% 37.60/24.05 tff(5223,plain,
% 37.60/24.05 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~v94(constB42)) | v123(constB42, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42))))),
% 37.60/24.05 inference(monotonicity,[status(thm)],[5222])).
% 37.60/24.05 tff(5224,plain,
% 37.60/24.05 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~v94(constB42)) | v123(constB42, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42)))),
% 37.60/24.06 inference(transitivity,[status(thm)],[5223, 5221])).
% 37.60/24.06 tff(5225,plain,
% 37.60/24.06 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~v94(constB42)) | v123(constB42, bitIndex0))),
% 37.60/24.06 inference(quant_inst,[status(thm)],[])).
% 37.60/24.06 tff(5226,plain,
% 37.60/24.06 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | v123(constB42, bitIndex0) | (~v94(constB42))),
% 37.60/24.06 inference(modus_ponens,[status(thm)],[5225, 5224])).
% 37.60/24.06 tff(5227,plain,
% 37.60/24.06 ((~v84(constB42, bitIndex0)) | (~v94(constB42))),
% 37.60/24.06 inference(unit_resolution,[status(thm)],[5226, 683, 5220])).
% 37.60/24.06 tff(5228,plain,
% 37.60/24.06 (~v84(constB42, bitIndex0)),
% 37.60/24.06 inference(unit_resolution,[status(thm)],[5227, 5147])).
% 37.60/24.06 tff(5229,plain,
% 37.60/24.06 ((~v1(constB43)) <=> (~v1(constB43))),
% 37.60/24.06 inference(rewrite,[status(thm)],[])).
% 37.60/24.06 tff(5230,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 37.60/24.06 tff(5231,plain,
% 37.60/24.06 (~v1(constB43)),
% 37.60/24.06 inference(modus_ponens,[status(thm)],[5230, 5229])).
% 37.60/24.06 tff(5232,plain,
% 37.60/24.06 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 37.60/24.06 inference(rewrite,[status(thm)],[])).
% 37.60/24.06 tff(5233,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 37.60/24.06 tff(5234,plain,
% 37.60/24.06 (nextState(constB42, constB43)),
% 37.60/24.06 inference(modus_ponens,[status(thm)],[5233, 5232])).
% 37.60/24.06 tff(5235,plain,
% 37.60/24.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 37.60/24.06 inference(rewrite,[status(thm)],[])).
% 37.60/24.06 tff(5236,plain,
% 37.60/24.06 (((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 37.60/24.06 inference(rewrite,[status(thm)],[])).
% 37.60/24.06 tff(5237,plain,
% 37.60/24.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43))))),
% 37.60/24.06 inference(monotonicity,[status(thm)],[5236])).
% 37.60/24.06 tff(5238,plain,
% 37.60/24.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 37.60/24.06 inference(transitivity,[status(thm)],[5237, 5235])).
% 37.60/24.06 tff(5239,plain,
% 37.60/24.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))),
% 37.60/24.06 inference(quant_inst,[status(thm)],[])).
% 37.60/24.06 tff(5240,plain,
% 37.60/24.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43))),
% 37.60/24.06 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 37.60/24.06 tff(5241,plain,
% 37.60/24.06 (~v95(constB43)),
% 37.60/24.06 inference(unit_resolution,[status(thm)],[5240, 175, 5234, 5231])).
% 37.60/24.06 tff(5242,plain,
% 37.60/24.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))),
% 37.60/24.06 inference(rewrite,[status(thm)],[])).
% 37.60/24.06 tff(5243,plain,
% 37.60/24.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))),
% 37.60/24.06 inference(quant_inst,[status(thm)],[])).
% 37.60/24.06 tff(5244,plain,
% 37.60/24.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43))),
% 37.60/24.06 inference(modus_ponens,[status(thm)],[5243, 5242])).
% 37.60/24.06 tff(5245,plain,
% 37.60/24.06 (v95(constB43) | (~v94(constB43))),
% 37.60/24.06 inference(unit_resolution,[status(thm)],[5244, 192, 5234])).
% 37.60/24.06 tff(5246,plain,
% 37.60/24.06 (~v94(constB43)),
% 37.60/24.06 inference(unit_resolution,[status(thm)],[5245, 5241])).
% 37.60/24.06 tff(5247,plain,
% 37.60/24.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0)))),
% 37.60/24.06 inference(rewrite,[status(thm)],[])).
% 37.60/24.06 tff(5248,plain,
% 37.60/24.06 (((~nextState(constB42, constB43)) | v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0))) <=> (v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0)))),
% 37.60/24.06 inference(rewrite,[status(thm)],[])).
% 37.60/24.06 tff(5249,plain,
% 37.60/24.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0))))),
% 37.60/24.06 inference(monotonicity,[status(thm)],[5248])).
% 37.60/24.06 tff(5250,plain,
% 37.60/24.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0)))),
% 37.60/24.06 inference(transitivity,[status(thm)],[5249, 5247])).
% 37.60/24.06 tff(5251,plain,
% 37.60/24.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0)))),
% 37.60/24.06 inference(quant_inst,[status(thm)],[])).
% 37.60/24.06 tff(5252,plain,
% 37.60/24.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex0))),
% 37.60/24.06 inference(modus_ponens,[status(thm)],[5251, 5250])).
% 37.60/24.06 tff(5253,plain,
% 37.60/24.06 (v84(constB42, bitIndex0) | v94(constB43) | (~v84(constB43, bitIndex0))),
% 37.60/24.06 inference(unit_resolution,[status(thm)],[5252, 249, 5234])).
% 37.60/24.06 tff(5254,plain,
% 37.60/24.06 (v84(constB42, bitIndex0) | (~v84(constB43, bitIndex0))),
% 37.60/24.06 inference(unit_resolution,[status(thm)],[5253, 5246])).
% 37.60/24.06 tff(5255,plain,
% 37.60/24.06 (~v84(constB43, bitIndex0)),
% 37.60/24.06 inference(unit_resolution,[status(thm)],[5254, 5228])).
% 37.60/24.06 tff(5256,assumption,(~v26(constB41)), introduced(assumption)).
% 37.60/24.06 tff(5257,assumption,(~v124(constB41, bitIndex1)), introduced(assumption)).
% 37.60/24.06 tff(5258,plain,
% 37.60/24.06 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1))),
% 37.68/24.06 inference(rewrite,[status(thm)],[])).
% 37.68/24.06 tff(5259,plain,
% 37.68/24.06 ((v26(constB41) | v124(constB41, bitIndex1) | (~v121(constB41, bitIndex1))) <=> ((~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1))),
% 37.68/24.06 inference(rewrite,[status(thm)],[])).
% 37.68/24.06 tff(5260,plain,
% 37.68/24.06 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB41) | v124(constB41, bitIndex1) | (~v121(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1)))),
% 37.68/24.06 inference(monotonicity,[status(thm)],[5259])).
% 37.68/24.06 tff(5261,plain,
% 37.68/24.06 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB41) | v124(constB41, bitIndex1) | (~v121(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1))),
% 37.68/24.06 inference(transitivity,[status(thm)],[5260, 5258])).
% 37.68/24.06 tff(5262,plain,
% 37.68/24.06 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB41) | v124(constB41, bitIndex1) | (~v121(constB41, bitIndex1)))),
% 37.68/24.06 inference(quant_inst,[status(thm)],[])).
% 37.68/24.06 tff(5263,plain,
% 37.68/24.06 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB41, bitIndex1)) | v26(constB41) | v124(constB41, bitIndex1)),
% 37.68/24.06 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 37.68/24.06 tff(5264,plain,
% 37.68/24.06 ((~v121(constB41, bitIndex1)) | v26(constB41)),
% 37.68/24.06 inference(unit_resolution,[status(thm)],[5263, 576, 5257])).
% 37.68/24.06 tff(5265,plain,
% 37.68/24.06 (~v121(constB41, bitIndex1)),
% 37.68/24.06 inference(unit_resolution,[status(thm)],[5264, 5256])).
% 37.68/24.06 tff(5266,plain,
% 37.68/24.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1)))),
% 37.68/24.06 inference(rewrite,[status(thm)],[])).
% 37.68/24.06 tff(5267,plain,
% 37.68/24.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1)))),
% 37.68/24.06 inference(quant_inst,[status(thm)],[])).
% 37.68/24.06 tff(5268,plain,
% 37.68/24.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1))),
% 37.68/24.06 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 37.68/24.06 tff(5269,plain,
% 37.68/24.06 (v121(constB41, bitIndex1) | (~v123(constB42, bitIndex1))),
% 37.68/24.06 inference(unit_resolution,[status(thm)],[5268, 594, 5113])).
% 37.68/24.06 tff(5270,plain,
% 37.68/24.06 (~v123(constB42, bitIndex1)),
% 37.68/24.06 inference(unit_resolution,[status(thm)],[5269, 5265])).
% 37.68/24.06 tff(5271,assumption,(v94(constB42)), introduced(assumption)).
% 37.68/24.06 tff(5272,plain,
% 37.68/24.06 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42)))),
% 37.68/24.06 inference(rewrite,[status(thm)],[])).
% 37.68/24.06 tff(5273,plain,
% 37.68/24.06 (((~v84(constB42, bitIndex1)) | (~v94(constB42)) | v123(constB42, bitIndex1)) <=> ((~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42)))),
% 37.68/24.06 inference(rewrite,[status(thm)],[])).
% 37.68/24.06 tff(5274,plain,
% 37.68/24.06 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~v94(constB42)) | v123(constB42, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42))))),
% 37.68/24.07 inference(monotonicity,[status(thm)],[5273])).
% 37.68/24.07 tff(5275,plain,
% 37.68/24.07 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~v94(constB42)) | v123(constB42, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42)))),
% 37.68/24.07 inference(transitivity,[status(thm)],[5274, 5272])).
% 37.68/24.07 tff(5276,plain,
% 37.68/24.07 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~v94(constB42)) | v123(constB42, bitIndex1))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5277,plain,
% 37.68/24.07 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1) | (~v94(constB42))),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 37.68/24.07 tff(5278,plain,
% 37.68/24.07 ((~v84(constB42, bitIndex1)) | v123(constB42, bitIndex1)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5277, 609, 5271])).
% 37.68/24.07 tff(5279,plain,
% 37.68/24.07 (~v84(constB42, bitIndex1)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5278, 5270])).
% 37.68/24.07 tff(5280,plain,
% 37.68/24.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1)))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5281,plain,
% 37.68/24.07 (((~nextState(constB42, constB43)) | v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1))) <=> (v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1)))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5282,plain,
% 37.68/24.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1))))),
% 37.68/24.07 inference(monotonicity,[status(thm)],[5281])).
% 37.68/24.07 tff(5283,plain,
% 37.68/24.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1)))),
% 37.68/24.07 inference(transitivity,[status(thm)],[5282, 5280])).
% 37.68/24.07 tff(5284,plain,
% 37.68/24.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1)))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5285,plain,
% 37.68/24.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex1))),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5284, 5283])).
% 37.68/24.07 tff(5286,plain,
% 37.68/24.07 (v84(constB42, bitIndex1) | v94(constB43) | (~v84(constB43, bitIndex1))),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5285, 228, 5234])).
% 37.68/24.07 tff(5287,plain,
% 37.68/24.07 (v84(constB42, bitIndex1) | (~v84(constB43, bitIndex1))),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5286, 5246])).
% 37.68/24.07 tff(5288,plain,
% 37.68/24.07 (~v84(constB43, bitIndex1)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5287, 5279])).
% 37.68/24.07 tff(5289,assumption,(v124(constB41, bitIndex2)), introduced(assumption)).
% 37.68/24.07 tff(5290,plain,
% 37.68/24.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB41) | (~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB41) | (~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5291,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB41) | (~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5292,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB41) | (~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2)),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5291, 5290])).
% 37.68/24.07 tff(5293,plain,
% 37.68/24.07 (v26(constB41) | v121(constB41, bitIndex2)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5292, 477, 5289])).
% 37.68/24.07 tff(5294,plain,
% 37.68/24.07 (v121(constB41, bitIndex2)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5293, 5256])).
% 37.68/24.07 tff(5295,plain,
% 37.68/24.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5296,plain,
% 37.68/24.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5297,plain,
% 37.68/24.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2)),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5296, 5295])).
% 37.68/24.07 tff(5298,plain,
% 37.68/24.07 ((~v121(constB41, bitIndex2)) | v123(constB42, bitIndex2)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5297, 492, 5113])).
% 37.68/24.07 tff(5299,plain,
% 37.68/24.07 (v123(constB42, bitIndex2)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5298, 5294])).
% 37.68/24.07 tff(5300,plain,
% 37.68/24.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42)))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5301,plain,
% 37.68/24.07 ((v84(constB42, bitIndex2) | (~v94(constB42)) | (~v123(constB42, bitIndex2))) <=> (v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42)))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5302,plain,
% 37.68/24.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v94(constB42)) | (~v123(constB42, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42))))),
% 37.68/24.07 inference(monotonicity,[status(thm)],[5301])).
% 37.68/24.07 tff(5303,plain,
% 37.68/24.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v94(constB42)) | (~v123(constB42, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42)))),
% 37.68/24.07 inference(transitivity,[status(thm)],[5302, 5300])).
% 37.68/24.07 tff(5304,plain,
% 37.68/24.07 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~v94(constB42)) | (~v123(constB42, bitIndex2)))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5305,plain,
% 37.68/24.07 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2)) | (~v94(constB42))),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5304, 5303])).
% 37.68/24.07 tff(5306,plain,
% 37.68/24.07 (v84(constB42, bitIndex2) | (~v123(constB42, bitIndex2))),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5305, 507, 5271])).
% 37.68/24.07 tff(5307,plain,
% 37.68/24.07 (v84(constB42, bitIndex2)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5306, 5299])).
% 37.68/24.07 tff(5308,plain,
% 37.68/24.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5309,plain,
% 37.68/24.07 (((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2)) <=> ((~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5310,plain,
% 37.68/24.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2)))),
% 37.68/24.07 inference(monotonicity,[status(thm)],[5309])).
% 37.68/24.07 tff(5311,plain,
% 37.68/24.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2))),
% 37.68/24.07 inference(transitivity,[status(thm)],[5310, 5308])).
% 37.68/24.07 tff(5312,plain,
% 37.68/24.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5313,plain,
% 37.68/24.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex2)),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5312, 5311])).
% 37.68/24.07 tff(5314,plain,
% 37.68/24.07 ((~v84(constB42, bitIndex2)) | v94(constB43) | v84(constB43, bitIndex2)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5313, 543, 5234])).
% 37.68/24.07 tff(5315,plain,
% 37.68/24.07 ((~v84(constB42, bitIndex2)) | v84(constB43, bitIndex2)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5314, 5246])).
% 37.68/24.07 tff(5316,plain,
% 37.68/24.07 (v84(constB43, bitIndex2)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5315, 5307])).
% 37.68/24.07 tff(5317,assumption,(~v84(constB43, bitIndex0)), introduced(assumption)).
% 37.68/24.07 tff(5318,plain,
% 37.68/24.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5319,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5320,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43)),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 37.68/24.07 tff(5321,plain,
% 37.68/24.07 (v84(constB43, bitIndex1) | (~v84(constB43, bitIndex2)) | v172(constB43)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5320, 710, 5317])).
% 37.68/24.07 tff(5322,plain,
% 37.68/24.07 (v172(constB43)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5321, 5316, 5288])).
% 37.68/24.07 tff(5323,plain,
% 37.68/24.07 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB43) | (~v172(constB43)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB43) | (~v172(constB43)))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5324,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB43) | (~v172(constB43)))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5325,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB43) | (~v172(constB43))),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 37.68/24.07 tff(5326,plain,
% 37.68/24.07 (v109(constB43)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5325, 764, 5322])).
% 37.68/24.07 tff(5327,plain,
% 37.68/24.07 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB43) | (~v109(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB43) | (~v109(constB43)))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5328,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB43) | (~v109(constB43)))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5329,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB43) | (~v109(constB43))),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 37.68/24.07 tff(5330,plain,
% 37.68/24.07 (v108(constB43)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5329, 325, 5326])).
% 37.68/24.07 tff(5331,plain,
% 37.68/24.07 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB43) | (~v108(constB43)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB43) | (~v108(constB43)))),
% 37.68/24.07 inference(rewrite,[status(thm)],[])).
% 37.68/24.07 tff(5332,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB43) | (~v108(constB43)))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5333,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB43) | (~v108(constB43))),
% 37.68/24.07 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 37.68/24.07 tff(5334,plain,
% 37.68/24.07 (v107(constB43)),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5333, 336, 5330])).
% 37.68/24.07 tff(5335,assumption,(v26(constB43)), introduced(assumption)).
% 37.68/24.07 tff(5336,plain,
% 37.68/24.07 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 37.68/24.07 inference(quant_inst,[status(thm)],[])).
% 37.68/24.07 tff(5337,plain,
% 37.68/24.07 ($false),
% 37.68/24.07 inference(unit_resolution,[status(thm)],[5336, 120, 5335])).
% 37.68/24.07 tff(5338,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 37.68/24.07 tff(5339,plain,
% 37.68/24.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | v106(constB43) | (~v107(constB43)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5340,plain,
% 37.68/24.08 ((v26(constB43) | (~v107(constB43)) | v106(constB43)) <=> (v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5341,plain,
% 37.68/24.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | v106(constB43) | (~v107(constB43))))),
% 37.68/24.08 inference(monotonicity,[status(thm)],[5340])).
% 37.68/24.08 tff(5342,plain,
% 37.68/24.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 37.68/24.08 inference(transitivity,[status(thm)],[5341, 5339])).
% 37.68/24.08 tff(5343,plain,
% 37.68/24.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))),
% 37.68/24.08 inference(quant_inst,[status(thm)],[])).
% 37.68/24.08 tff(5344,plain,
% 37.68/24.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43))),
% 37.68/24.08 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 37.68/24.08 tff(5345,plain,
% 37.68/24.08 (v106(constB43) | (~v107(constB43))),
% 37.68/24.08 inference(unit_resolution,[status(thm)],[5344, 350, 5338])).
% 37.68/24.08 tff(5346,plain,
% 37.68/24.08 (v106(constB43)),
% 37.68/24.08 inference(unit_resolution,[status(thm)],[5345, 5334])).
% 37.68/24.08 tff(5347,plain,
% 37.68/24.08 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB43) | (~v106(constB43)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB43) | (~v106(constB43)))),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5348,plain,
% 37.68/24.08 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB43) | (~v106(constB43)))),
% 37.68/24.08 inference(quant_inst,[status(thm)],[])).
% 37.68/24.08 tff(5349,plain,
% 37.68/24.08 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB43) | (~v106(constB43))),
% 37.68/24.08 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 37.68/24.08 tff(5350,plain,
% 37.68/24.08 (v102(constB43)),
% 37.68/24.08 inference(unit_resolution,[status(thm)],[5349, 362, 5346])).
% 37.68/24.08 tff(5351,plain,
% 37.68/24.08 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5352,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 37.68/24.08 tff(5353,plain,
% 37.68/24.08 (nextState(constB43, constB44)),
% 37.68/24.08 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 37.68/24.08 tff(5354,plain,
% 37.68/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5355,plain,
% 37.68/24.08 (((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44)) <=> ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5356,plain,
% 37.68/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43))))),
% 37.68/24.08 inference(monotonicity,[status(thm)],[5355])).
% 37.68/24.08 tff(5357,plain,
% 37.68/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 37.68/24.08 inference(transitivity,[status(thm)],[5356, 5354])).
% 37.68/24.08 tff(5358,plain,
% 37.68/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))),
% 37.68/24.08 inference(quant_inst,[status(thm)],[])).
% 37.68/24.08 tff(5359,plain,
% 37.68/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43))),
% 37.68/24.08 inference(modus_ponens,[status(thm)],[5358, 5357])).
% 37.68/24.08 tff(5360,plain,
% 37.68/24.08 (v104(constB44) | (~v102(constB43))),
% 37.68/24.08 inference(unit_resolution,[status(thm)],[5359, 379, 5353])).
% 37.68/24.08 tff(5361,plain,
% 37.68/24.08 (v104(constB44)),
% 37.68/24.08 inference(unit_resolution,[status(thm)],[5360, 5350])).
% 37.68/24.08 tff(5362,plain,
% 37.68/24.08 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5363,plain,
% 37.68/24.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))),
% 37.68/24.08 inference(quant_inst,[status(thm)],[])).
% 37.68/24.08 tff(5364,plain,
% 37.68/24.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44))),
% 37.68/24.08 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 37.68/24.08 tff(5365,plain,
% 37.68/24.08 (~v98(constB44)),
% 37.68/24.08 inference(unit_resolution,[status(thm)],[5364, 397, 5353, 5231])).
% 37.68/24.08 tff(5366,plain,
% 37.68/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5367,plain,
% 37.68/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))),
% 37.68/24.08 inference(quant_inst,[status(thm)],[])).
% 37.68/24.08 tff(5368,plain,
% 37.68/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB43, constB44)) | v96(constB44) | v98(constB44)),
% 37.68/24.08 inference(modus_ponens,[status(thm)],[5367, 5366])).
% 37.68/24.08 tff(5369,plain,
% 37.68/24.08 (v96(constB44) | v98(constB44)),
% 37.68/24.08 inference(unit_resolution,[status(thm)],[5368, 411, 5353])).
% 37.68/24.08 tff(5370,plain,
% 37.68/24.08 (v96(constB44)),
% 37.68/24.08 inference(unit_resolution,[status(thm)],[5369, 5365])).
% 37.68/24.08 tff(5371,plain,
% 37.68/24.08 (v1(constB44) <=> v1(constB44)),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5372,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 37.68/24.08 tff(5373,plain,
% 37.68/24.08 (v1(constB44)),
% 37.68/24.08 inference(modus_ponens,[status(thm)],[5372, 5371])).
% 37.68/24.08 tff(5374,plain,
% 37.68/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))),
% 37.68/24.08 inference(rewrite,[status(thm)],[])).
% 37.68/24.08 tff(5375,plain,
% 37.68/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))),
% 37.68/24.08 inference(quant_inst,[status(thm)],[])).
% 37.68/24.08 tff(5376,plain,
% 37.68/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44))),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 37.69/24.08 tff(5377,plain,
% 37.69/24.08 (v95(constB44) | (~v96(constB44))),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5376, 429, 5353, 5373])).
% 37.69/24.08 tff(5378,plain,
% 37.69/24.08 (v95(constB44)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5377, 5370])).
% 37.69/24.08 tff(5379,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5380,plain,
% 37.69/24.08 (((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44)) <=> ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5381,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44))))),
% 37.69/24.08 inference(monotonicity,[status(thm)],[5380])).
% 37.69/24.08 tff(5382,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 37.69/24.08 inference(transitivity,[status(thm)],[5381, 5379])).
% 37.69/24.08 tff(5383,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5384,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44))),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5383, 5382])).
% 37.69/24.08 tff(5385,plain,
% 37.69/24.08 (v94(constB44) | (~v95(constB44)) | (~v104(constB44))),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5384, 444, 5353])).
% 37.69/24.08 tff(5386,plain,
% 37.69/24.08 (v94(constB44) | (~v104(constB44))),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5385, 5378])).
% 37.69/24.08 tff(5387,plain,
% 37.69/24.08 (v94(constB44)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5386, 5361])).
% 37.69/24.08 tff(5388,plain,
% 37.69/24.08 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB43)) | v124(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB43)) | v124(constB43, bitIndex1))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5389,plain,
% 37.69/24.08 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB43)) | v124(constB43, bitIndex1))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5390,plain,
% 37.69/24.08 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB43)) | v124(constB43, bitIndex1)),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5389, 5388])).
% 37.69/24.08 tff(5391,plain,
% 37.69/24.08 (v124(constB43, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5390, 861, 5322])).
% 37.69/24.08 tff(5392,plain,
% 37.69/24.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB43) | (~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB43) | (~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5393,plain,
% 37.69/24.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB43) | (~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5394,plain,
% 37.69/24.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB43) | (~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1)),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 37.69/24.08 tff(5395,plain,
% 37.69/24.08 ((~v124(constB43, bitIndex1)) | v121(constB43, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5394, 875, 5338])).
% 37.69/24.08 tff(5396,plain,
% 37.69/24.08 (v121(constB43, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5395, 5391])).
% 37.69/24.08 tff(5397,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5398,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5399,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1)),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 37.69/24.08 tff(5400,plain,
% 37.69/24.08 ((~v121(constB43, bitIndex1)) | v123(constB44, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5399, 890, 5353])).
% 37.69/24.08 tff(5401,plain,
% 37.69/24.08 (v123(constB44, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5400, 5396])).
% 37.69/24.08 tff(5402,plain,
% 37.69/24.08 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44)))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5403,plain,
% 37.69/24.08 ((v84(constB44, bitIndex1) | (~v94(constB44)) | (~v123(constB44, bitIndex1))) <=> (v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44)))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5404,plain,
% 37.69/24.08 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v94(constB44)) | (~v123(constB44, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44))))),
% 37.69/24.08 inference(monotonicity,[status(thm)],[5403])).
% 37.69/24.08 tff(5405,plain,
% 37.69/24.08 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v94(constB44)) | (~v123(constB44, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44)))),
% 37.69/24.08 inference(transitivity,[status(thm)],[5404, 5402])).
% 37.69/24.08 tff(5406,plain,
% 37.69/24.08 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~v94(constB44)) | (~v123(constB44, bitIndex1)))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5407,plain,
% 37.69/24.08 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~v123(constB44, bitIndex1)) | (~v94(constB44))),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 37.69/24.08 tff(5408,plain,
% 37.69/24.08 (v84(constB44, bitIndex1) | (~v94(constB44))),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5407, 905, 5401])).
% 37.69/24.08 tff(5409,plain,
% 37.69/24.08 (v84(constB44, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5408, 5387])).
% 37.69/24.08 tff(5410,plain,
% 37.69/24.08 ((~v1(constB45)) <=> (~v1(constB45))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5411,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 37.69/24.08 tff(5412,plain,
% 37.69/24.08 (~v1(constB45)),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5411, 5410])).
% 37.69/24.08 tff(5413,plain,
% 37.69/24.08 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5414,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 37.69/24.08 tff(5415,plain,
% 37.69/24.08 (nextState(constB44, constB45)),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5414, 5413])).
% 37.69/24.08 tff(5416,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5417,plain,
% 37.69/24.08 (((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5418,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45))))),
% 37.69/24.08 inference(monotonicity,[status(thm)],[5417])).
% 37.69/24.08 tff(5419,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 37.69/24.08 inference(transitivity,[status(thm)],[5418, 5416])).
% 37.69/24.08 tff(5420,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5421,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45))),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5420, 5419])).
% 37.69/24.08 tff(5422,plain,
% 37.69/24.08 (~v95(constB45)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5421, 175, 5415, 5412])).
% 37.69/24.08 tff(5423,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5424,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5425,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45))),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 37.69/24.08 tff(5426,plain,
% 37.69/24.08 (v95(constB45) | (~v94(constB45))),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5425, 192, 5415])).
% 37.69/24.08 tff(5427,plain,
% 37.69/24.08 (~v94(constB45)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5426, 5422])).
% 37.69/24.08 tff(5428,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5429,plain,
% 37.69/24.08 (((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1)) <=> ((~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5430,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1)))),
% 37.69/24.08 inference(monotonicity,[status(thm)],[5429])).
% 37.69/24.08 tff(5431,plain,
% 37.69/24.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1))),
% 37.69/24.08 inference(transitivity,[status(thm)],[5430, 5428])).
% 37.69/24.08 tff(5432,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5433,plain,
% 37.69/24.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex1)),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 37.69/24.08 tff(5434,plain,
% 37.69/24.08 ((~v84(constB44, bitIndex1)) | v94(constB45) | v84(constB45, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5433, 923, 5415])).
% 37.69/24.08 tff(5435,plain,
% 37.69/24.08 ((~v84(constB44, bitIndex1)) | v84(constB45, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5434, 5427])).
% 37.69/24.08 tff(5436,plain,
% 37.69/24.08 (v84(constB45, bitIndex1)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5435, 5409])).
% 37.69/24.08 tff(5437,plain,
% 37.69/24.08 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB43)) | (~v124(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB43)) | (~v124(constB43, bitIndex0)))),
% 37.69/24.08 inference(rewrite,[status(thm)],[])).
% 37.69/24.08 tff(5438,plain,
% 37.69/24.08 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB43)) | (~v124(constB43, bitIndex0)))),
% 37.69/24.08 inference(quant_inst,[status(thm)],[])).
% 37.69/24.08 tff(5439,plain,
% 37.69/24.08 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB43)) | (~v124(constB43, bitIndex0))),
% 37.69/24.08 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 37.69/24.08 tff(5440,plain,
% 37.69/24.08 (~v124(constB43, bitIndex0)),
% 37.69/24.08 inference(unit_resolution,[status(thm)],[5439, 942, 5322])).
% 37.69/24.08 tff(5441,plain,
% 37.69/24.08 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5442,plain,
% 37.69/24.09 ((v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0))) <=> ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5443,plain,
% 37.69/24.09 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0)))),
% 37.69/24.09 inference(monotonicity,[status(thm)],[5442])).
% 37.69/24.09 tff(5444,plain,
% 37.69/24.09 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 37.69/24.09 inference(transitivity,[status(thm)],[5443, 5441])).
% 37.69/24.09 tff(5445,plain,
% 37.69/24.09 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5446,plain,
% 37.69/24.09 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0)),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 37.69/24.09 tff(5447,plain,
% 37.69/24.09 ((~v121(constB43, bitIndex0)) | v124(constB43, bitIndex0)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5446, 650, 5338])).
% 37.69/24.09 tff(5448,plain,
% 37.69/24.09 (~v121(constB43, bitIndex0)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5447, 5440])).
% 37.69/24.09 tff(5449,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5450,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5451,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5450, 5449])).
% 37.69/24.09 tff(5452,plain,
% 37.69/24.09 (v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0))),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5451, 668, 5353])).
% 37.69/24.09 tff(5453,plain,
% 37.69/24.09 (~v123(constB44, bitIndex0)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5452, 5448])).
% 37.69/24.09 tff(5454,plain,
% 37.69/24.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5455,plain,
% 37.69/24.09 (((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0)) <=> ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5456,plain,
% 37.69/24.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44))))),
% 37.69/24.09 inference(monotonicity,[status(thm)],[5455])).
% 37.69/24.09 tff(5457,plain,
% 37.69/24.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 37.69/24.09 inference(transitivity,[status(thm)],[5456, 5454])).
% 37.69/24.09 tff(5458,plain,
% 37.69/24.09 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5459,plain,
% 37.69/24.09 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5458, 5457])).
% 37.69/24.09 tff(5460,plain,
% 37.69/24.09 ((~v84(constB44, bitIndex0)) | (~v94(constB44))),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5459, 683, 5453])).
% 37.69/24.09 tff(5461,plain,
% 37.69/24.09 (~v84(constB44, bitIndex0)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5460, 5387])).
% 37.69/24.09 tff(5462,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5463,plain,
% 37.69/24.09 (((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0))) <=> (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5464,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0))))),
% 37.69/24.09 inference(monotonicity,[status(thm)],[5463])).
% 37.69/24.09 tff(5465,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 37.69/24.09 inference(transitivity,[status(thm)],[5464, 5462])).
% 37.69/24.09 tff(5466,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5467,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 37.69/24.09 tff(5468,plain,
% 37.69/24.09 (v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0))),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5467, 249, 5415])).
% 37.69/24.09 tff(5469,plain,
% 37.69/24.09 (v84(constB44, bitIndex0) | (~v84(constB45, bitIndex0))),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5468, 5427])).
% 37.69/24.09 tff(5470,plain,
% 37.69/24.09 (~v84(constB45, bitIndex0)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5469, 5461])).
% 37.69/24.09 tff(5471,plain,
% 37.69/24.09 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB43, bitIndex2)) | (~v115(constB43)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB43, bitIndex2)) | (~v115(constB43)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5472,plain,
% 37.69/24.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB43, bitIndex2)) | (~v115(constB43)))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5473,plain,
% 37.69/24.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB43, bitIndex2)) | (~v115(constB43))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5472, 5471])).
% 37.69/24.09 tff(5474,plain,
% 37.69/24.09 (~v115(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5473, 1058, 5316])).
% 37.69/24.09 tff(5475,plain,
% 37.69/24.09 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB43, bitIndex0) | (~v145(constB43)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB43, bitIndex0) | (~v145(constB43)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5476,plain,
% 37.69/24.09 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB43, bitIndex0) | (~v145(constB43)))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5477,plain,
% 37.69/24.09 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB43, bitIndex0) | (~v145(constB43))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5476, 5475])).
% 37.69/24.09 tff(5478,plain,
% 37.69/24.09 (~v145(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5477, 2357, 5317])).
% 37.69/24.09 tff(5479,plain,
% 37.69/24.09 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB43)) | v124(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB43)) | v124(constB43, bitIndex2))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5480,plain,
% 37.69/24.09 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB43)) | v124(constB43, bitIndex2))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5481,plain,
% 37.69/24.09 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB43)) | v124(constB43, bitIndex2)),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5480, 5479])).
% 37.69/24.09 tff(5482,plain,
% 37.69/24.09 (v124(constB43, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5481, 724, 5322])).
% 37.69/24.09 tff(5483,plain,
% 37.69/24.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5484,plain,
% 37.69/24.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5485,plain,
% 37.69/24.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2)),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5484, 5483])).
% 37.69/24.09 tff(5486,plain,
% 37.69/24.09 ((~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5485, 477, 5338])).
% 37.69/24.09 tff(5487,plain,
% 37.69/24.09 (v121(constB43, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5486, 5482])).
% 37.69/24.09 tff(5488,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5489,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5490,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2)),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5489, 5488])).
% 37.69/24.09 tff(5491,plain,
% 37.69/24.09 ((~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5490, 492, 5353])).
% 37.69/24.09 tff(5492,plain,
% 37.69/24.09 (v123(constB44, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5491, 5487])).
% 37.69/24.09 tff(5493,assumption,(~v84(constB44, bitIndex2)), introduced(assumption)).
% 37.69/24.09 tff(5494,assumption,(v123(constB44, bitIndex2)), introduced(assumption)).
% 37.69/24.09 tff(5495,plain,
% 37.69/24.09 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5496,plain,
% 37.69/24.09 ((v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2))) <=> (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5497,plain,
% 37.69/24.09 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44))))),
% 37.69/24.09 inference(monotonicity,[status(thm)],[5496])).
% 37.69/24.09 tff(5498,plain,
% 37.69/24.09 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 37.69/24.09 inference(transitivity,[status(thm)],[5497, 5495])).
% 37.69/24.09 tff(5499,plain,
% 37.69/24.09 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5500,plain,
% 37.69/24.09 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 37.69/24.09 tff(5501,plain,
% 37.69/24.09 (v84(constB44, bitIndex2) | (~v94(constB44))),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5500, 507, 5494])).
% 37.69/24.09 tff(5502,plain,
% 37.69/24.09 (~v94(constB44)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5501, 5493])).
% 37.69/24.09 tff(5503,plain,
% 37.69/24.09 (~v104(constB44)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5386, 5502])).
% 37.69/24.09 tff(5504,plain,
% 37.69/24.09 (~v102(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5360, 5503])).
% 37.69/24.09 tff(5505,plain,
% 37.69/24.09 (~v106(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5349, 362, 5504])).
% 37.69/24.09 tff(5506,plain,
% 37.69/24.09 (~v107(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5345, 5505])).
% 37.69/24.09 tff(5507,plain,
% 37.69/24.09 (~v108(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5333, 336, 5506])).
% 37.69/24.09 tff(5508,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex2))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5509,plain,
% 37.69/24.09 (((~nextState(constB43, constB44)) | (~v84(constB43, bitIndex2)) | v94(constB44) | v84(constB44, bitIndex2)) <=> ((~v84(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex2))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5510,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v84(constB43, bitIndex2)) | v94(constB44) | v84(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex2)))),
% 37.69/24.09 inference(monotonicity,[status(thm)],[5509])).
% 37.69/24.09 tff(5511,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v84(constB43, bitIndex2)) | v94(constB44) | v84(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex2))),
% 37.69/24.09 inference(transitivity,[status(thm)],[5510, 5508])).
% 37.69/24.09 tff(5512,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v84(constB43, bitIndex2)) | v94(constB44) | v84(constB44, bitIndex2))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5513,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex2)),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 37.69/24.09 tff(5514,plain,
% 37.69/24.09 ((~v84(constB43, bitIndex2)) | v94(constB44) | v84(constB44, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5513, 543, 5353])).
% 37.69/24.09 tff(5515,plain,
% 37.69/24.09 (~v84(constB43, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5514, 5502, 5493])).
% 37.69/24.09 tff(5516,assumption,(~v145(constB43)), introduced(assumption)).
% 37.69/24.09 tff(5517,assumption,(~v104(constB44)), introduced(assumption)).
% 37.69/24.09 tff(5518,plain,
% 37.69/24.09 (~v102(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5360, 5517])).
% 37.69/24.09 tff(5519,plain,
% 37.69/24.09 (~v106(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5349, 362, 5518])).
% 37.69/24.09 tff(5520,plain,
% 37.69/24.09 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB43) | (~v26(constB43)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB43) | (~v26(constB43)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5521,plain,
% 37.69/24.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB43) | (~v26(constB43)))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5522,plain,
% 37.69/24.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB43) | (~v26(constB43))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 37.69/24.09 tff(5523,plain,
% 37.69/24.09 (~v26(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5522, 753, 5518])).
% 37.69/24.09 tff(5524,plain,
% 37.69/24.09 (~v107(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5344, 350, 5523, 5519])).
% 37.69/24.09 tff(5525,plain,
% 37.69/24.09 (~v108(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5333, 336, 5524])).
% 37.69/24.09 tff(5526,plain,
% 37.69/24.09 (~v109(constB43)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5329, 325, 5525])).
% 37.69/24.09 tff(5527,plain,
% 37.69/24.09 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))))),
% 37.69/24.09 inference(bind,[status(th)],[])).
% 37.69/24.09 tff(5528,plain,
% 37.69/24.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 37.69/24.09 inference(quant_intro,[status(thm)],[5527])).
% 37.69/24.09 tff(5529,plain,
% 37.69/24.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5530,plain,
% 37.69/24.09 (^[VarNext: $i, VarCurr: $i] : rewrite(((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))))),
% 37.69/24.09 inference(bind,[status(th)],[])).
% 37.69/24.09 tff(5531,plain,
% 37.69/24.09 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 37.69/24.09 inference(quant_intro,[status(thm)],[5530])).
% 37.69/24.09 tff(5532,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 37.69/24.09 tff(5533,plain,
% 37.69/24.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 37.69/24.09 tff(5534,plain,
% 37.69/24.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5533, 5529])).
% 37.69/24.09 tff(5535,plain,(
% 37.69/24.09 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 37.69/24.09 inference(skolemize,[status(sab)],[5534])).
% 37.69/24.09 tff(5536,plain,
% 37.69/24.09 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5535, 5528])).
% 37.69/24.09 tff(5537,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v94(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v94(constB44)))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5538,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v94(constB44)))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5539,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v94(constB44))),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 37.69/24.09 tff(5540,plain,
% 37.69/24.09 (v104(constB44) | (~v94(constB44))),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5539, 5536, 5353])).
% 37.69/24.09 tff(5541,plain,
% 37.69/24.09 (~v94(constB44)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5540, 5517])).
% 37.69/24.09 tff(5542,plain,
% 37.69/24.09 (~v84(constB43, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5514, 5541, 5493])).
% 37.69/24.09 tff(5543,assumption,(~v84(constB44, bitIndex1)), introduced(assumption)).
% 37.69/24.09 tff(5544,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex1))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5545,plain,
% 37.69/24.09 (((~nextState(constB43, constB44)) | (~v84(constB43, bitIndex1)) | v94(constB44) | v84(constB44, bitIndex1)) <=> ((~v84(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex1))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5546,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v84(constB43, bitIndex1)) | v94(constB44) | v84(constB44, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex1)))),
% 37.69/24.09 inference(monotonicity,[status(thm)],[5545])).
% 37.69/24.09 tff(5547,plain,
% 37.69/24.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v84(constB43, bitIndex1)) | v94(constB44) | v84(constB44, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex1))),
% 37.69/24.09 inference(transitivity,[status(thm)],[5546, 5544])).
% 37.69/24.09 tff(5548,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v84(constB43, bitIndex1)) | v94(constB44) | v84(constB44, bitIndex1))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5549,plain,
% 37.69/24.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v94(constB44) | v84(constB44, bitIndex1)),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5548, 5547])).
% 37.69/24.09 tff(5550,plain,
% 37.69/24.09 ((~v84(constB43, bitIndex1)) | v94(constB44) | v84(constB44, bitIndex1)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5549, 923, 5353])).
% 37.69/24.09 tff(5551,plain,
% 37.69/24.09 (~v84(constB43, bitIndex1)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5550, 5541, 5543])).
% 37.69/24.09 tff(5552,plain,
% 37.69/24.09 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB43, bitIndex0)) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2) | v145(constB43))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB43, bitIndex0)) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2) | v145(constB43))),
% 37.69/24.09 inference(rewrite,[status(thm)],[])).
% 37.69/24.09 tff(5553,plain,
% 37.69/24.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB43, bitIndex0)) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2) | v145(constB43))),
% 37.69/24.09 inference(quant_inst,[status(thm)],[])).
% 37.69/24.09 tff(5554,plain,
% 37.69/24.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB43, bitIndex0)) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2) | v145(constB43)),
% 37.69/24.09 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 37.69/24.09 tff(5555,plain,
% 37.69/24.09 ((~v84(constB43, bitIndex0)) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5554, 1356, 5516])).
% 37.69/24.09 tff(5556,plain,
% 37.69/24.09 (~v84(constB43, bitIndex0)),
% 37.69/24.09 inference(unit_resolution,[status(thm)],[5555, 5551, 5542])).
% 37.69/24.09 tff(5557,plain,
% 37.69/24.09 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB43) | v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB43) | v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5558,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB43) | v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5559,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB43) | v84(constB43, bitIndex0) | v84(constB43, bitIndex1) | v84(constB43, bitIndex2)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 37.69/24.10 tff(5560,plain,
% 37.69/24.10 (v113(constB43)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5559, 270, 5556, 5551, 5542])).
% 37.69/24.10 tff(5561,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB43) | (~v113(constB43)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB43) | (~v113(constB43)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5562,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB43) | (~v113(constB43)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5563,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB43) | (~v113(constB43))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 37.69/24.10 tff(5564,plain,
% 37.69/24.10 (v112(constB43)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5563, 281, 5560])).
% 37.69/24.10 tff(5565,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB43) | (~v112(constB43)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5566,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB43) | (~v112(constB43)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5567,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB43) | (~v112(constB43))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 37.69/24.10 tff(5568,plain,
% 37.69/24.10 (v111(constB43)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5567, 292, 5564])).
% 37.69/24.10 tff(5569,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB43) | (~v111(constB43)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB43) | (~v111(constB43)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5570,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB43) | (~v111(constB43)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5571,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB43) | (~v111(constB43))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 37.69/24.10 tff(5572,plain,
% 37.69/24.10 (v110(constB43)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5571, 303, 5568])).
% 37.69/24.10 tff(5573,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB43) | (~v110(constB43)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB43) | (~v110(constB43)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5574,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB43) | (~v110(constB43)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5575,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB43) | (~v110(constB43))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 37.69/24.10 tff(5576,plain,
% 37.69/24.10 ($false),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5575, 314, 5572, 5526])).
% 37.69/24.10 tff(5577,plain,(v104(constB44) | v145(constB43) | v84(constB44, bitIndex1) | v84(constB44, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 37.69/24.10 tff(5578,plain,
% 37.69/24.10 (v84(constB44, bitIndex1)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5577, 5503, 5516, 5493])).
% 37.69/24.10 tff(5579,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v94(constB44) | (~v84(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v94(constB44) | (~v84(constB44, bitIndex1)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5580,plain,
% 37.69/24.10 (((~nextState(constB43, constB44)) | v84(constB43, bitIndex1) | v94(constB44) | (~v84(constB44, bitIndex1))) <=> (v84(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v94(constB44) | (~v84(constB44, bitIndex1)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5581,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v84(constB43, bitIndex1) | v94(constB44) | (~v84(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v94(constB44) | (~v84(constB44, bitIndex1))))),
% 37.69/24.10 inference(monotonicity,[status(thm)],[5580])).
% 37.69/24.10 tff(5582,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v84(constB43, bitIndex1) | v94(constB44) | (~v84(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v94(constB44) | (~v84(constB44, bitIndex1)))),
% 37.69/24.10 inference(transitivity,[status(thm)],[5581, 5579])).
% 37.69/24.10 tff(5583,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v84(constB43, bitIndex1) | v94(constB44) | (~v84(constB44, bitIndex1)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5584,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v94(constB44) | (~v84(constB44, bitIndex1))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 37.69/24.10 tff(5585,plain,
% 37.69/24.10 (v84(constB43, bitIndex1) | v94(constB44) | (~v84(constB44, bitIndex1))),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5584, 228, 5353])).
% 37.69/24.10 tff(5586,plain,
% 37.69/24.10 (v84(constB43, bitIndex1)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5585, 5578, 5502])).
% 37.69/24.10 tff(5587,assumption,(~v115(constB43)), introduced(assumption)).
% 37.69/24.10 tff(5588,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB43, bitIndex0) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v115(constB43))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB43, bitIndex0) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v115(constB43))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5589,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB43, bitIndex0) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v115(constB43))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5590,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB43, bitIndex0) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v115(constB43)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 37.69/24.10 tff(5591,plain,
% 37.69/24.10 (v84(constB43, bitIndex0) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5590, 1598, 5587])).
% 37.69/24.10 tff(5592,plain,
% 37.69/24.10 (v84(constB43, bitIndex0)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5591, 5586, 5515])).
% 37.69/24.10 tff(5593,plain,
% 37.69/24.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5594,plain,
% 37.69/24.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5595,plain,
% 37.69/24.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 37.69/24.10 tff(5596,plain,
% 37.69/24.10 (v116(constB43)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5595, 1832, 5592, 5586, 5515])).
% 37.69/24.10 tff(5597,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB43) | (~v116(constB43)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5598,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB43) | (~v116(constB43)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5599,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB43) | (~v116(constB43))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5598, 5597])).
% 37.69/24.10 tff(5600,plain,
% 37.69/24.10 (v110(constB43)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5599, 1843, 5596])).
% 37.69/24.10 tff(5601,plain,
% 37.69/24.10 (v109(constB43)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5575, 314, 5600])).
% 37.69/24.10 tff(5602,plain,
% 37.69/24.10 ($false),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5329, 325, 5601, 5507])).
% 37.69/24.10 tff(5603,plain,(v84(constB44, bitIndex2) | v115(constB43) | v145(constB43) | (~v123(constB44, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 37.69/24.10 tff(5604,plain,
% 37.69/24.10 (v84(constB44, bitIndex2)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5603, 5492, 5478, 5474])).
% 37.69/24.10 tff(5605,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5606,plain,
% 37.69/24.10 (((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2)) <=> ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5607,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2)))),
% 37.69/24.10 inference(monotonicity,[status(thm)],[5606])).
% 37.69/24.10 tff(5608,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 37.69/24.10 inference(transitivity,[status(thm)],[5607, 5605])).
% 37.69/24.10 tff(5609,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5610,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5609, 5608])).
% 37.69/24.10 tff(5611,plain,
% 37.69/24.10 ((~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5610, 543, 5415])).
% 37.69/24.10 tff(5612,plain,
% 37.69/24.10 ((~v84(constB44, bitIndex2)) | v84(constB45, bitIndex2)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5611, 5427])).
% 37.69/24.10 tff(5613,plain,
% 37.69/24.10 (v84(constB45, bitIndex2)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5612, 5604])).
% 37.69/24.10 tff(5614,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | (~v84(constB45, bitIndex2)) | v119(constB45))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | (~v84(constB45, bitIndex2)) | v119(constB45))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5615,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | (~v84(constB45, bitIndex2)) | v119(constB45))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5616,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | (~v84(constB45, bitIndex2)) | v119(constB45)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5615, 5614])).
% 37.69/24.10 tff(5617,plain,
% 37.69/24.10 (v84(constB45, bitIndex0) | (~v84(constB45, bitIndex1)) | v119(constB45)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5616, 986, 5613])).
% 37.69/24.10 tff(5618,plain,
% 37.69/24.10 (v119(constB45)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5617, 5470, 5436])).
% 37.69/24.10 tff(5619,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB45) | (~v119(constB45)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB45) | (~v119(constB45)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5620,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB45) | (~v119(constB45)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5621,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB45) | (~v119(constB45))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 37.69/24.10 tff(5622,plain,
% 37.69/24.10 (v107(constB45)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5621, 997, 5618])).
% 37.69/24.10 tff(5623,assumption,(v26(constB45)), introduced(assumption)).
% 37.69/24.10 tff(5624,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5625,plain,
% 37.69/24.10 ($false),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5624, 120, 5623])).
% 37.69/24.10 tff(5626,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 37.69/24.10 tff(5627,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB45) | (~v107(constB45)) | v106(constB45))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB45) | (~v107(constB45)) | v106(constB45))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5628,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB45) | (~v107(constB45)) | v106(constB45))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5629,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB45) | (~v107(constB45)) | v106(constB45)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 37.69/24.10 tff(5630,plain,
% 37.69/24.10 ((~v107(constB45)) | v106(constB45)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5629, 350, 5626])).
% 37.69/24.10 tff(5631,plain,
% 37.69/24.10 (v106(constB45)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5630, 5622])).
% 37.69/24.10 tff(5632,plain,
% 37.69/24.10 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB45) | (~v106(constB45)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB45) | (~v106(constB45)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5633,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB45) | (~v106(constB45)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5634,plain,
% 37.69/24.10 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB45) | (~v106(constB45))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5633, 5632])).
% 37.69/24.10 tff(5635,plain,
% 37.69/24.10 (v102(constB45)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5634, 362, 5631])).
% 37.69/24.10 tff(5636,plain,
% 37.69/24.10 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5637,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 37.69/24.10 tff(5638,plain,
% 37.69/24.10 (nextState(constB45, constB46)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5637, 5636])).
% 37.69/24.10 tff(5639,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5640,plain,
% 37.69/24.10 (((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46)) <=> ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5641,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45))))),
% 37.69/24.10 inference(monotonicity,[status(thm)],[5640])).
% 37.69/24.10 tff(5642,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 37.69/24.10 inference(transitivity,[status(thm)],[5641, 5639])).
% 37.69/24.10 tff(5643,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5644,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5643, 5642])).
% 37.69/24.10 tff(5645,plain,
% 37.69/24.10 (v104(constB46) | (~v102(constB45))),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5644, 379, 5638])).
% 37.69/24.10 tff(5646,plain,
% 37.69/24.10 (v104(constB46)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5645, 5635])).
% 37.69/24.10 tff(5647,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5648,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5649,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5648, 5647])).
% 37.69/24.10 tff(5650,plain,
% 37.69/24.10 (~v98(constB46)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5649, 397, 5638, 5412])).
% 37.69/24.10 tff(5651,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5652,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5653,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB45, constB46)) | v96(constB46) | v98(constB46)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5652, 5651])).
% 37.69/24.10 tff(5654,plain,
% 37.69/24.10 (v96(constB46) | v98(constB46)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5653, 411, 5638])).
% 37.69/24.10 tff(5655,plain,
% 37.69/24.10 (v96(constB46)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5654, 5650])).
% 37.69/24.10 tff(5656,plain,
% 37.69/24.10 (v1(constB46) <=> v1(constB46)),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5657,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 37.69/24.10 tff(5658,plain,
% 37.69/24.10 (v1(constB46)),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5657, 5656])).
% 37.69/24.10 tff(5659,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5660,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5661,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5660, 5659])).
% 37.69/24.10 tff(5662,plain,
% 37.69/24.10 (v95(constB46) | (~v96(constB46))),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5661, 429, 5638, 5658])).
% 37.69/24.10 tff(5663,plain,
% 37.69/24.10 (v95(constB46)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5662, 5655])).
% 37.69/24.10 tff(5664,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5665,plain,
% 37.69/24.10 (((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46)) <=> ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5666,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46))))),
% 37.69/24.10 inference(monotonicity,[status(thm)],[5665])).
% 37.69/24.10 tff(5667,plain,
% 37.69/24.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 37.69/24.10 inference(transitivity,[status(thm)],[5666, 5664])).
% 37.69/24.10 tff(5668,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5669,plain,
% 37.69/24.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5668, 5667])).
% 37.69/24.10 tff(5670,plain,
% 37.69/24.10 (v94(constB46) | (~v95(constB46)) | (~v104(constB46))),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5669, 444, 5638])).
% 37.69/24.10 tff(5671,plain,
% 37.69/24.10 (v94(constB46) | (~v104(constB46))),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5670, 5663])).
% 37.69/24.10 tff(5672,plain,
% 37.69/24.10 (v94(constB46)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5671, 5646])).
% 37.69/24.10 tff(5673,plain,
% 37.69/24.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB45, bitIndex1)) | (~v118(constB45)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB45, bitIndex1)) | (~v118(constB45)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5674,plain,
% 37.69/24.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB45, bitIndex1)) | (~v118(constB45)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5675,plain,
% 37.69/24.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB45, bitIndex1)) | (~v118(constB45))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5674, 5673])).
% 37.69/24.10 tff(5676,plain,
% 37.69/24.10 (~v118(constB45)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5675, 1094, 5436])).
% 37.69/24.10 tff(5677,plain,
% 37.69/24.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB45, bitIndex1)) | (~v172(constB45)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB45, bitIndex1)) | (~v172(constB45)))),
% 37.69/24.10 inference(rewrite,[status(thm)],[])).
% 37.69/24.10 tff(5678,plain,
% 37.69/24.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB45, bitIndex1)) | (~v172(constB45)))),
% 37.69/24.10 inference(quant_inst,[status(thm)],[])).
% 37.69/24.10 tff(5679,plain,
% 37.69/24.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB45, bitIndex1)) | (~v172(constB45))),
% 37.69/24.10 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 37.69/24.10 tff(5680,plain,
% 37.69/24.10 (~v172(constB45)),
% 37.69/24.10 inference(unit_resolution,[status(thm)],[5679, 1105, 5436])).
% 37.69/24.10 tff(5681,plain,
% 37.69/24.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB45, bitIndex2)) | (~v115(constB45)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB45, bitIndex2)) | (~v115(constB45)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5682,plain,
% 37.69/24.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB45, bitIndex2)) | (~v115(constB45)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5683,plain,
% 37.69/24.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB45, bitIndex2)) | (~v115(constB45))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5682, 5681])).
% 37.69/24.11 tff(5684,plain,
% 37.69/24.11 (~v115(constB45)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5683, 1058, 5613])).
% 37.69/24.11 tff(5685,plain,
% 37.69/24.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB45, bitIndex2)) | (~v116(constB45)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB45, bitIndex2)) | (~v116(constB45)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5686,plain,
% 37.69/24.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB45, bitIndex2)) | (~v116(constB45)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5687,plain,
% 37.69/24.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB45, bitIndex2)) | (~v116(constB45))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5686, 5685])).
% 37.69/24.11 tff(5688,plain,
% 37.69/24.11 (~v116(constB45)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5687, 1069, 5613])).
% 37.69/24.11 tff(5689,plain,
% 37.69/24.11 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 37.69/24.11 inference(bind,[status(th)],[])).
% 37.69/24.11 tff(5690,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 37.69/24.11 inference(quant_intro,[status(thm)],[5689])).
% 37.69/24.11 tff(5691,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5692,plain,
% 37.69/24.11 (^[VarCurr: $i] : rewrite(((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 37.69/24.11 inference(bind,[status(th)],[])).
% 37.69/24.11 tff(5693,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 37.69/24.11 inference(quant_intro,[status(thm)],[5692])).
% 37.69/24.11 tff(5694,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 37.69/24.11 tff(5695,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5694, 5693])).
% 37.69/24.11 tff(5696,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5695, 5691])).
% 37.69/24.11 tff(5697,plain,(
% 37.69/24.11 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 37.69/24.11 inference(skolemize,[status(sab)],[5696])).
% 37.69/24.11 tff(5698,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5697, 5690])).
% 37.69/24.11 tff(5699,plain,
% 37.69/24.11 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB45)) | (~v84(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB45)) | (~v84(constB45, bitIndex2)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5700,plain,
% 37.69/24.11 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB45)) | (~v84(constB45, bitIndex2)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5701,plain,
% 37.69/24.11 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB45)) | (~v84(constB45, bitIndex2))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 37.69/24.11 tff(5702,plain,
% 37.69/24.11 (~v113(constB45)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5701, 5698, 5613])).
% 37.69/24.11 tff(5703,plain,
% 37.69/24.11 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))))),
% 37.69/24.11 inference(bind,[status(th)],[])).
% 37.69/24.11 tff(5704,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 37.69/24.11 inference(quant_intro,[status(thm)],[5703])).
% 37.69/24.11 tff(5705,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5706,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 37.69/24.11 tff(5707,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 37.69/24.11 tff(5708,plain,(
% 37.69/24.11 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 37.69/24.11 inference(skolemize,[status(sab)],[5707])).
% 37.69/24.11 tff(5709,plain,
% 37.69/24.11 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5708, 5704])).
% 37.69/24.11 tff(5710,plain,
% 37.69/24.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB45, bitIndex2)) | (~v145(constB45)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB45, bitIndex2)) | (~v145(constB45)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5711,plain,
% 37.69/24.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB45, bitIndex2)) | (~v145(constB45)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5712,plain,
% 37.69/24.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB45, bitIndex2)) | (~v145(constB45))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5711, 5710])).
% 37.69/24.11 tff(5713,plain,
% 37.69/24.11 (~v145(constB45)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5712, 5709, 5613])).
% 37.69/24.11 tff(5714,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5715,plain,
% 37.69/24.11 ((v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2))) <=> (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5716,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2))))),
% 37.69/24.11 inference(monotonicity,[status(thm)],[5715])).
% 37.69/24.11 tff(5717,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2)))),
% 37.69/24.11 inference(transitivity,[status(thm)],[5716, 5714])).
% 37.69/24.11 tff(5718,plain,
% 37.69/24.11 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5719,plain,
% 37.69/24.11 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex2))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5718, 5717])).
% 37.69/24.11 tff(5720,plain,
% 37.69/24.11 (v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex2))),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5719, 1130, 5713, 5702, 5688, 5684])).
% 37.69/24.11 tff(5721,plain,
% 37.69/24.11 (~v124(constB45, bitIndex2)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5720, 5680, 5676])).
% 37.69/24.11 tff(5722,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5723,plain,
% 37.69/24.11 ((v26(constB45) | v124(constB45, bitIndex2) | (~v121(constB45, bitIndex2))) <=> ((~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5724,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB45) | v124(constB45, bitIndex2) | (~v121(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2)))),
% 37.69/24.11 inference(monotonicity,[status(thm)],[5723])).
% 37.69/24.11 tff(5725,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB45) | v124(constB45, bitIndex2) | (~v121(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2))),
% 37.69/24.11 inference(transitivity,[status(thm)],[5724, 5722])).
% 37.69/24.11 tff(5726,plain,
% 37.69/24.11 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB45) | v124(constB45, bitIndex2) | (~v121(constB45, bitIndex2)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5727,plain,
% 37.69/24.11 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB45, bitIndex2)) | v26(constB45) | v124(constB45, bitIndex2)),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 37.69/24.11 tff(5728,plain,
% 37.69/24.11 ((~v121(constB45, bitIndex2)) | v124(constB45, bitIndex2)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5727, 1147, 5626])).
% 37.69/24.11 tff(5729,plain,
% 37.69/24.11 (~v121(constB45, bitIndex2)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5728, 5721])).
% 37.69/24.11 tff(5730,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5731,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5732,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 37.69/24.11 tff(5733,plain,
% 37.69/24.11 (v121(constB45, bitIndex2) | (~v123(constB46, bitIndex2))),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5732, 1165, 5638])).
% 37.69/24.11 tff(5734,plain,
% 37.69/24.11 (~v123(constB46, bitIndex2)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5733, 5729])).
% 37.69/24.11 tff(5735,plain,
% 37.69/24.11 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5736,plain,
% 37.69/24.11 (((~v84(constB46, bitIndex2)) | (~v94(constB46)) | v123(constB46, bitIndex2)) <=> ((~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5737,plain,
% 37.69/24.11 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | (~v94(constB46)) | v123(constB46, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46))))),
% 37.69/24.11 inference(monotonicity,[status(thm)],[5736])).
% 37.69/24.11 tff(5738,plain,
% 37.69/24.11 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | (~v94(constB46)) | v123(constB46, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46)))),
% 37.69/24.11 inference(transitivity,[status(thm)],[5737, 5735])).
% 37.69/24.11 tff(5739,plain,
% 37.69/24.11 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | (~v94(constB46)) | v123(constB46, bitIndex2))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5740,plain,
% 37.69/24.11 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | v123(constB46, bitIndex2) | (~v94(constB46))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 37.69/24.11 tff(5741,plain,
% 37.69/24.11 ((~v84(constB46, bitIndex2)) | (~v94(constB46))),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5740, 1180, 5734])).
% 37.69/24.11 tff(5742,plain,
% 37.69/24.11 (~v84(constB46, bitIndex2)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5741, 5672])).
% 37.69/24.11 tff(5743,plain,
% 37.69/24.11 ((~v1(constB47)) <=> (~v1(constB47))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5744,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 37.69/24.11 tff(5745,plain,
% 37.69/24.11 (~v1(constB47)),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5744, 5743])).
% 37.69/24.11 tff(5746,plain,
% 37.69/24.11 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5747,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 37.69/24.11 tff(5748,plain,
% 37.69/24.11 (nextState(constB46, constB47)),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 37.69/24.11 tff(5749,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5750,plain,
% 37.69/24.11 (((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5751,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47))))),
% 37.69/24.11 inference(monotonicity,[status(thm)],[5750])).
% 37.69/24.11 tff(5752,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 37.69/24.11 inference(transitivity,[status(thm)],[5751, 5749])).
% 37.69/24.11 tff(5753,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5754,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5753, 5752])).
% 37.69/24.11 tff(5755,plain,
% 37.69/24.11 (~v95(constB47)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5754, 175, 5748, 5745])).
% 37.69/24.11 tff(5756,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5757,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5758,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5757, 5756])).
% 37.69/24.11 tff(5759,plain,
% 37.69/24.11 (v95(constB47) | (~v94(constB47))),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5758, 192, 5748])).
% 37.69/24.11 tff(5760,plain,
% 37.69/24.11 (~v94(constB47)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5759, 5755])).
% 37.69/24.11 tff(5761,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5762,plain,
% 37.69/24.11 (((~nextState(constB46, constB47)) | v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2))) <=> (v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5763,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2))))),
% 37.69/24.11 inference(monotonicity,[status(thm)],[5762])).
% 37.69/24.11 tff(5764,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2)))),
% 37.69/24.11 inference(transitivity,[status(thm)],[5763, 5761])).
% 37.69/24.11 tff(5765,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2)))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5766,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex2))),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5765, 5764])).
% 37.69/24.11 tff(5767,plain,
% 37.69/24.11 (v84(constB46, bitIndex2) | v94(constB47) | (~v84(constB47, bitIndex2))),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5766, 207, 5748])).
% 37.69/24.11 tff(5768,plain,
% 37.69/24.11 (v84(constB46, bitIndex2) | (~v84(constB47, bitIndex2))),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5767, 5760])).
% 37.69/24.11 tff(5769,plain,
% 37.69/24.11 (~v84(constB47, bitIndex2)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5768, 5742])).
% 37.69/24.11 tff(5770,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5771,plain,
% 37.69/24.11 ((v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | v124(constB45, bitIndex0)) <=> (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5772,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | v124(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0)))),
% 37.69/24.11 inference(monotonicity,[status(thm)],[5771])).
% 37.69/24.11 tff(5773,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | v124(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0))),
% 37.69/24.11 inference(transitivity,[status(thm)],[5772, 5770])).
% 37.69/24.11 tff(5774,plain,
% 37.69/24.11 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | v124(constB45, bitIndex0))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5775,plain,
% 37.69/24.11 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | v124(constB45, bitIndex0)),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 37.69/24.11 tff(5776,plain,
% 37.69/24.11 (v172(constB45) | v118(constB45) | v124(constB45, bitIndex0)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5775, 1272, 5713, 5702, 5688, 5684])).
% 37.69/24.11 tff(5777,plain,
% 37.69/24.11 (v124(constB45, bitIndex0)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5776, 5680, 5676])).
% 37.69/24.11 tff(5778,plain,
% 37.69/24.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5779,plain,
% 37.69/24.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5780,plain,
% 37.69/24.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0)),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 37.69/24.11 tff(5781,plain,
% 37.69/24.11 ((~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5780, 1289, 5626])).
% 37.69/24.11 tff(5782,plain,
% 37.69/24.11 (v121(constB45, bitIndex0)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5781, 5777])).
% 37.69/24.11 tff(5783,plain,
% 37.69/24.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5784,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))),
% 37.69/24.11 inference(quant_inst,[status(thm)],[])).
% 37.69/24.11 tff(5785,plain,
% 37.69/24.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0)),
% 37.69/24.11 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 37.69/24.11 tff(5786,plain,
% 37.69/24.11 ((~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5785, 1304, 5638])).
% 37.69/24.11 tff(5787,plain,
% 37.69/24.11 (v123(constB46, bitIndex0)),
% 37.69/24.11 inference(unit_resolution,[status(thm)],[5786, 5782])).
% 37.69/24.11 tff(5788,plain,
% 37.69/24.11 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5789,plain,
% 37.69/24.11 ((v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0))) <=> (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 37.69/24.11 inference(rewrite,[status(thm)],[])).
% 37.69/24.11 tff(5790,plain,
% 37.69/24.11 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46))))),
% 37.69/24.11 inference(monotonicity,[status(thm)],[5789])).
% 37.69/24.11 tff(5791,plain,
% 37.69/24.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 37.69/24.12 inference(transitivity,[status(thm)],[5790, 5788])).
% 37.69/24.12 tff(5792,plain,
% 37.69/24.12 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))),
% 37.69/24.12 inference(quant_inst,[status(thm)],[])).
% 37.69/24.12 tff(5793,plain,
% 37.69/24.12 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46))),
% 37.69/24.12 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 37.69/24.12 tff(5794,plain,
% 37.69/24.12 (v84(constB46, bitIndex0) | (~v94(constB46))),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5793, 1319, 5787])).
% 37.69/24.12 tff(5795,plain,
% 37.69/24.12 (v84(constB46, bitIndex0)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5794, 5672])).
% 37.69/24.12 tff(5796,plain,
% 37.69/24.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5797,plain,
% 37.69/24.12 (((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0)) <=> ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5798,plain,
% 37.69/24.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0)))),
% 37.69/24.12 inference(monotonicity,[status(thm)],[5797])).
% 37.69/24.12 tff(5799,plain,
% 37.69/24.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 37.69/24.12 inference(transitivity,[status(thm)],[5798, 5796])).
% 37.69/24.12 tff(5800,plain,
% 37.69/24.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))),
% 37.69/24.12 inference(quant_inst,[status(thm)],[])).
% 37.69/24.12 tff(5801,plain,
% 37.69/24.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0)),
% 37.69/24.12 inference(modus_ponens,[status(thm)],[5800, 5799])).
% 37.69/24.12 tff(5802,plain,
% 37.69/24.12 ((~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5801, 1337, 5748])).
% 37.69/24.12 tff(5803,plain,
% 37.69/24.12 ((~v84(constB46, bitIndex0)) | v84(constB47, bitIndex0)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5802, 5760])).
% 37.69/24.12 tff(5804,plain,
% 37.69/24.12 (v84(constB47, bitIndex0)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5803, 5795])).
% 37.69/24.12 tff(5805,plain,
% 37.69/24.12 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1)))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5806,plain,
% 37.69/24.12 ((v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1))) <=> (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1)))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5807,plain,
% 37.69/24.12 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1))))),
% 37.69/24.12 inference(monotonicity,[status(thm)],[5806])).
% 37.69/24.12 tff(5808,plain,
% 37.69/24.12 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1)))),
% 37.69/24.12 inference(transitivity,[status(thm)],[5807, 5805])).
% 37.69/24.12 tff(5809,plain,
% 37.69/24.12 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB45) | v145(constB45) | v115(constB45) | v116(constB45) | v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1)))),
% 37.69/24.12 inference(quant_inst,[status(thm)],[])).
% 37.69/24.12 tff(5810,plain,
% 37.69/24.12 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB45) | v172(constB45) | v118(constB45) | v116(constB45) | v115(constB45) | v113(constB45) | (~v124(constB45, bitIndex1))),
% 37.69/24.12 inference(modus_ponens,[status(thm)],[5809, 5808])).
% 37.69/24.12 tff(5811,plain,
% 37.69/24.12 (v172(constB45) | v118(constB45) | (~v124(constB45, bitIndex1))),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5810, 1225, 5713, 5702, 5688, 5684])).
% 37.69/24.12 tff(5812,plain,
% 37.69/24.12 (~v124(constB45, bitIndex1)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5811, 5680, 5676])).
% 37.69/24.12 tff(5813,plain,
% 37.69/24.12 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5814,plain,
% 37.69/24.12 ((v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1))) <=> ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5815,plain,
% 37.69/24.12 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1)))),
% 37.69/24.12 inference(monotonicity,[status(thm)],[5814])).
% 37.69/24.12 tff(5816,plain,
% 37.69/24.12 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 37.69/24.12 inference(transitivity,[status(thm)],[5815, 5813])).
% 37.69/24.12 tff(5817,plain,
% 37.69/24.12 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))),
% 37.69/24.12 inference(quant_inst,[status(thm)],[])).
% 37.69/24.12 tff(5818,plain,
% 37.69/24.12 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1)),
% 37.69/24.12 inference(modus_ponens,[status(thm)],[5817, 5816])).
% 37.69/24.12 tff(5819,plain,
% 37.69/24.12 ((~v121(constB45, bitIndex1)) | v124(constB45, bitIndex1)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5818, 576, 5626])).
% 37.69/24.12 tff(5820,plain,
% 37.69/24.12 (~v121(constB45, bitIndex1)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5819, 5812])).
% 37.69/24.12 tff(5821,plain,
% 37.69/24.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5822,plain,
% 37.69/24.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))),
% 37.69/24.12 inference(quant_inst,[status(thm)],[])).
% 37.69/24.12 tff(5823,plain,
% 37.69/24.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1))),
% 37.69/24.12 inference(modus_ponens,[status(thm)],[5822, 5821])).
% 37.69/24.12 tff(5824,plain,
% 37.69/24.12 (v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1))),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5823, 594, 5638])).
% 37.69/24.12 tff(5825,plain,
% 37.69/24.12 (~v123(constB46, bitIndex1)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5824, 5820])).
% 37.69/24.12 tff(5826,plain,
% 37.69/24.12 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5827,plain,
% 37.69/24.12 (((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1)) <=> ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5828,plain,
% 37.69/24.12 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46))))),
% 37.69/24.12 inference(monotonicity,[status(thm)],[5827])).
% 37.69/24.12 tff(5829,plain,
% 37.69/24.12 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 37.69/24.12 inference(transitivity,[status(thm)],[5828, 5826])).
% 37.69/24.12 tff(5830,plain,
% 37.69/24.12 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))),
% 37.69/24.12 inference(quant_inst,[status(thm)],[])).
% 37.69/24.12 tff(5831,plain,
% 37.69/24.12 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46))),
% 37.69/24.12 inference(modus_ponens,[status(thm)],[5830, 5829])).
% 37.69/24.12 tff(5832,plain,
% 37.69/24.12 ((~v84(constB46, bitIndex1)) | (~v94(constB46))),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5831, 609, 5825])).
% 37.69/24.12 tff(5833,plain,
% 37.69/24.12 (~v84(constB46, bitIndex1)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5832, 5672])).
% 37.69/24.12 tff(5834,plain,
% 37.69/24.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5835,plain,
% 37.69/24.12 (((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1))) <=> (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 37.69/24.12 inference(rewrite,[status(thm)],[])).
% 37.69/24.12 tff(5836,plain,
% 37.69/24.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1))))),
% 37.69/24.12 inference(monotonicity,[status(thm)],[5835])).
% 37.69/24.12 tff(5837,plain,
% 37.69/24.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 37.69/24.12 inference(transitivity,[status(thm)],[5836, 5834])).
% 37.69/24.12 tff(5838,plain,
% 37.69/24.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 37.69/24.12 inference(quant_inst,[status(thm)],[])).
% 37.69/24.12 tff(5839,plain,
% 37.69/24.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1))),
% 37.69/24.12 inference(modus_ponens,[status(thm)],[5838, 5837])).
% 37.69/24.12 tff(5840,plain,
% 37.69/24.12 (v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1))),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5839, 228, 5748])).
% 37.69/24.12 tff(5841,plain,
% 37.69/24.12 (v84(constB46, bitIndex1) | (~v84(constB47, bitIndex1))),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5840, 5760])).
% 37.69/24.12 tff(5842,plain,
% 37.69/24.12 (~v84(constB47, bitIndex1)),
% 37.69/24.12 inference(unit_resolution,[status(thm)],[5841, 5833])).
% 37.69/24.12 tff(5843,assumption,(~v145(constB47)), introduced(assumption)).
% 37.69/24.12 tff(5844,plain,
% 37.69/24.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2) | v145(constB47))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2) | v145(constB47))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5845,plain,
% 37.74/24.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2) | v145(constB47))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5846,plain,
% 37.74/24.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2) | v145(constB47)),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5845, 5844])).
% 37.74/24.12 tff(5847,plain,
% 37.74/24.12 ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | v84(constB47, bitIndex2)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5846, 1356, 5843])).
% 37.74/24.12 tff(5848,plain,
% 37.74/24.12 ($false),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5847, 5842, 5804, 5769])).
% 37.74/24.12 tff(5849,plain,(v26(constB41) | v145(constB47) | v84(constB43, bitIndex0) | (~v94(constB42)) | (~v124(constB41, bitIndex2)) | v124(constB41, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 37.74/24.12 tff(5850,plain,
% 37.74/24.12 (v145(constB47) | v84(constB43, bitIndex0) | (~v94(constB42)) | (~v124(constB41, bitIndex2)) | v124(constB41, bitIndex1)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5849, 5101])).
% 37.74/24.12 tff(5851,plain,
% 37.74/24.12 (v145(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5850, 5255, 5203, 5151, 5147])).
% 37.74/24.12 tff(5852,assumption,(v145(constB47)), introduced(assumption)).
% 37.74/24.12 tff(5853,plain,
% 37.74/24.12 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB47) | (~v145(constB47)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB47) | (~v145(constB47)))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5854,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB47) | (~v145(constB47)))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5855,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB47) | (~v145(constB47))),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 37.74/24.12 tff(5856,plain,
% 37.74/24.12 (v112(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5855, 1367, 5852])).
% 37.74/24.12 tff(5857,plain,
% 37.74/24.12 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB47) | (~v112(constB47)))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5858,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB47) | (~v112(constB47)))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5859,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB47) | (~v112(constB47))),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 37.74/24.12 tff(5860,plain,
% 37.74/24.12 (v111(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5859, 292, 5856])).
% 37.74/24.12 tff(5861,plain,
% 37.74/24.12 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB47) | (~v111(constB47)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB47) | (~v111(constB47)))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5862,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB47) | (~v111(constB47)))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5863,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB47) | (~v111(constB47))),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5862, 5861])).
% 37.74/24.12 tff(5864,plain,
% 37.74/24.12 (v110(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5863, 303, 5860])).
% 37.74/24.12 tff(5865,plain,
% 37.74/24.12 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB47) | (~v110(constB47)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB47) | (~v110(constB47)))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5866,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB47) | (~v110(constB47)))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5867,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB47) | (~v110(constB47))),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5866, 5865])).
% 37.74/24.12 tff(5868,plain,
% 37.74/24.12 (v109(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5867, 314, 5864])).
% 37.74/24.12 tff(5869,plain,
% 37.74/24.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB47) | (~v109(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB47) | (~v109(constB47)))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5870,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB47) | (~v109(constB47)))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5871,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB47) | (~v109(constB47))),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 37.74/24.12 tff(5872,plain,
% 37.74/24.12 (v108(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5871, 325, 5868])).
% 37.74/24.12 tff(5873,plain,
% 37.74/24.12 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB47) | (~v108(constB47)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB47) | (~v108(constB47)))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5874,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB47) | (~v108(constB47)))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5875,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB47) | (~v108(constB47))),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5874, 5873])).
% 37.74/24.12 tff(5876,plain,
% 37.74/24.12 (v107(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5875, 336, 5872])).
% 37.74/24.12 tff(5877,assumption,(v26(constB47)), introduced(assumption)).
% 37.74/24.12 tff(5878,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5879,plain,
% 37.74/24.12 ($false),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5878, 120, 5877])).
% 37.74/24.12 tff(5880,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 37.74/24.12 tff(5881,plain,
% 37.74/24.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB47) | (~v107(constB47)) | v106(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB47) | (~v107(constB47)) | v106(constB47))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5882,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB47) | (~v107(constB47)) | v106(constB47))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5883,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB47) | (~v107(constB47)) | v106(constB47)),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5882, 5881])).
% 37.74/24.12 tff(5884,plain,
% 37.74/24.12 ((~v107(constB47)) | v106(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5883, 350, 5880])).
% 37.74/24.12 tff(5885,plain,
% 37.74/24.12 (v106(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5884, 5876])).
% 37.74/24.12 tff(5886,plain,
% 37.74/24.12 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB47) | (~v106(constB47)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB47) | (~v106(constB47)))),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.12 tff(5887,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB47) | (~v106(constB47)))),
% 37.74/24.12 inference(quant_inst,[status(thm)],[])).
% 37.74/24.12 tff(5888,plain,
% 37.74/24.12 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB47) | (~v106(constB47))),
% 37.74/24.12 inference(modus_ponens,[status(thm)],[5887, 5886])).
% 37.74/24.12 tff(5889,plain,
% 37.74/24.12 (v102(constB47)),
% 37.74/24.12 inference(unit_resolution,[status(thm)],[5888, 362, 5885])).
% 37.74/24.12 tff(5890,plain,
% 37.74/24.12 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 37.74/24.12 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5891,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 37.74/24.13 tff(5892,plain,
% 37.74/24.13 (nextState(constB47, constB48)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5891, 5890])).
% 37.74/24.13 tff(5893,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5894,plain,
% 37.74/24.13 (((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48)) <=> ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5895,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47))))),
% 37.74/24.13 inference(monotonicity,[status(thm)],[5894])).
% 37.74/24.13 tff(5896,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 37.74/24.13 inference(transitivity,[status(thm)],[5895, 5893])).
% 37.74/24.13 tff(5897,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5898,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5897, 5896])).
% 37.74/24.13 tff(5899,plain,
% 37.74/24.13 (v104(constB48) | (~v102(constB47))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5898, 379, 5892])).
% 37.74/24.13 tff(5900,plain,
% 37.74/24.13 (v104(constB48)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5899, 5889])).
% 37.74/24.13 tff(5901,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5902,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5903,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5902, 5901])).
% 37.74/24.13 tff(5904,plain,
% 37.74/24.13 (~v98(constB48)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5903, 397, 5892, 5745])).
% 37.74/24.13 tff(5905,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5906,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5907,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB47, constB48)) | v96(constB48) | v98(constB48)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5906, 5905])).
% 37.74/24.13 tff(5908,plain,
% 37.74/24.13 (v96(constB48) | v98(constB48)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5907, 411, 5892])).
% 37.74/24.13 tff(5909,plain,
% 37.74/24.13 (v96(constB48)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5908, 5904])).
% 37.74/24.13 tff(5910,plain,
% 37.74/24.13 (v1(constB48) <=> v1(constB48)),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5911,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 37.74/24.13 tff(5912,plain,
% 37.74/24.13 (v1(constB48)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 37.74/24.13 tff(5913,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5914,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5915,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5914, 5913])).
% 37.74/24.13 tff(5916,plain,
% 37.74/24.13 (v95(constB48) | (~v96(constB48))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5915, 429, 5892, 5912])).
% 37.74/24.13 tff(5917,plain,
% 37.74/24.13 (v95(constB48)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5916, 5909])).
% 37.74/24.13 tff(5918,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5919,plain,
% 37.74/24.13 (((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48)) <=> ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5920,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48))))),
% 37.74/24.13 inference(monotonicity,[status(thm)],[5919])).
% 37.74/24.13 tff(5921,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 37.74/24.13 inference(transitivity,[status(thm)],[5920, 5918])).
% 37.74/24.13 tff(5922,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5923,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 37.74/24.13 tff(5924,plain,
% 37.74/24.13 (v94(constB48) | (~v95(constB48)) | (~v104(constB48))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5923, 444, 5892])).
% 37.74/24.13 tff(5925,plain,
% 37.74/24.13 (v94(constB48) | (~v104(constB48))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5924, 5917])).
% 37.74/24.13 tff(5926,plain,
% 37.74/24.13 (v94(constB48)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5925, 5900])).
% 37.74/24.13 tff(5927,plain,
% 37.74/24.13 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB47)) | (~v124(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB47)) | (~v124(constB47, bitIndex2)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5928,plain,
% 37.74/24.13 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB47)) | (~v124(constB47, bitIndex2)))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5929,plain,
% 37.74/24.13 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB47)) | (~v124(constB47, bitIndex2))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5928, 5927])).
% 37.74/24.13 tff(5930,plain,
% 37.74/24.13 (~v124(constB47, bitIndex2)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5929, 1451, 5852])).
% 37.74/24.13 tff(5931,plain,
% 37.74/24.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5932,plain,
% 37.74/24.13 ((v26(constB47) | v124(constB47, bitIndex2) | (~v121(constB47, bitIndex2))) <=> ((~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5933,plain,
% 37.74/24.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB47) | v124(constB47, bitIndex2) | (~v121(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2)))),
% 37.74/24.13 inference(monotonicity,[status(thm)],[5932])).
% 37.74/24.13 tff(5934,plain,
% 37.74/24.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB47) | v124(constB47, bitIndex2) | (~v121(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2))),
% 37.74/24.13 inference(transitivity,[status(thm)],[5933, 5931])).
% 37.74/24.13 tff(5935,plain,
% 37.74/24.13 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB47) | v124(constB47, bitIndex2) | (~v121(constB47, bitIndex2)))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5936,plain,
% 37.74/24.13 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB47, bitIndex2)) | v26(constB47) | v124(constB47, bitIndex2)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 37.74/24.13 tff(5937,plain,
% 37.74/24.13 ((~v121(constB47, bitIndex2)) | v124(constB47, bitIndex2)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5936, 1147, 5880])).
% 37.74/24.13 tff(5938,plain,
% 37.74/24.13 (~v121(constB47, bitIndex2)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5937, 5930])).
% 37.74/24.13 tff(5939,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5940,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2)))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5941,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5940, 5939])).
% 37.74/24.13 tff(5942,plain,
% 37.74/24.13 (v121(constB47, bitIndex2) | (~v123(constB48, bitIndex2))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5941, 1165, 5892])).
% 37.74/24.13 tff(5943,plain,
% 37.74/24.13 (~v123(constB48, bitIndex2)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5942, 5938])).
% 37.74/24.13 tff(5944,plain,
% 37.74/24.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5945,plain,
% 37.74/24.13 (((~v84(constB48, bitIndex2)) | (~v94(constB48)) | v123(constB48, bitIndex2)) <=> ((~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5946,plain,
% 37.74/24.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | (~v94(constB48)) | v123(constB48, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48))))),
% 37.74/24.13 inference(monotonicity,[status(thm)],[5945])).
% 37.74/24.13 tff(5947,plain,
% 37.74/24.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | (~v94(constB48)) | v123(constB48, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48)))),
% 37.74/24.13 inference(transitivity,[status(thm)],[5946, 5944])).
% 37.74/24.13 tff(5948,plain,
% 37.74/24.13 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | (~v94(constB48)) | v123(constB48, bitIndex2))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5949,plain,
% 37.74/24.13 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | v123(constB48, bitIndex2) | (~v94(constB48))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 37.74/24.13 tff(5950,plain,
% 37.74/24.13 ((~v84(constB48, bitIndex2)) | (~v94(constB48))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5949, 1180, 5943])).
% 37.74/24.13 tff(5951,plain,
% 37.74/24.13 (~v84(constB48, bitIndex2)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5950, 5926])).
% 37.74/24.13 tff(5952,plain,
% 37.74/24.13 ((~v1(constB49)) <=> (~v1(constB49))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5953,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 37.74/24.13 tff(5954,plain,
% 37.74/24.13 (~v1(constB49)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5953, 5952])).
% 37.74/24.13 tff(5955,plain,
% 37.74/24.13 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5956,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 37.74/24.13 tff(5957,plain,
% 37.74/24.13 (nextState(constB48, constB49)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 37.74/24.13 tff(5958,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5959,plain,
% 37.74/24.13 (((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5960,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49))))),
% 37.74/24.13 inference(monotonicity,[status(thm)],[5959])).
% 37.74/24.13 tff(5961,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 37.74/24.13 inference(transitivity,[status(thm)],[5960, 5958])).
% 37.74/24.13 tff(5962,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5963,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5962, 5961])).
% 37.74/24.13 tff(5964,plain,
% 37.74/24.13 (~v95(constB49)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5963, 175, 5957, 5954])).
% 37.74/24.13 tff(5965,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5966,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5967,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5966, 5965])).
% 37.74/24.13 tff(5968,plain,
% 37.74/24.13 (v95(constB49) | (~v94(constB49))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5967, 192, 5957])).
% 37.74/24.13 tff(5969,plain,
% 37.74/24.13 (~v94(constB49)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5968, 5964])).
% 37.74/24.13 tff(5970,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5971,plain,
% 37.74/24.13 (((~nextState(constB48, constB49)) | v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2))) <=> (v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5972,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2))))),
% 37.74/24.13 inference(monotonicity,[status(thm)],[5971])).
% 37.74/24.13 tff(5973,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2)))),
% 37.74/24.13 inference(transitivity,[status(thm)],[5972, 5970])).
% 37.74/24.13 tff(5974,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2)))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5975,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex2))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5974, 5973])).
% 37.74/24.13 tff(5976,plain,
% 37.74/24.13 (v84(constB48, bitIndex2) | v94(constB49) | (~v84(constB49, bitIndex2))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5975, 207, 5957])).
% 37.74/24.13 tff(5977,plain,
% 37.74/24.13 (v84(constB48, bitIndex2) | (~v84(constB49, bitIndex2))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5976, 5969])).
% 37.74/24.13 tff(5978,plain,
% 37.74/24.13 (~v84(constB49, bitIndex2)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5977, 5951])).
% 37.74/24.13 tff(5979,plain,
% 37.74/24.13 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB47)) | v124(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB47)) | v124(constB47, bitIndex1))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5980,plain,
% 37.74/24.13 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB47)) | v124(constB47, bitIndex1))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5981,plain,
% 37.74/24.13 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB47)) | v124(constB47, bitIndex1)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 37.74/24.13 tff(5982,plain,
% 37.74/24.13 (v124(constB47, bitIndex1)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5981, 1513, 5852])).
% 37.74/24.13 tff(5983,plain,
% 37.74/24.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5984,plain,
% 37.74/24.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5985,plain,
% 37.74/24.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5984, 5983])).
% 37.74/24.13 tff(5986,plain,
% 37.74/24.13 ((~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5985, 875, 5880])).
% 37.74/24.13 tff(5987,plain,
% 37.74/24.13 (v121(constB47, bitIndex1)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5986, 5982])).
% 37.74/24.13 tff(5988,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5989,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5990,plain,
% 37.74/24.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1)),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5989, 5988])).
% 37.74/24.13 tff(5991,plain,
% 37.74/24.13 ((~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5990, 890, 5892])).
% 37.74/24.13 tff(5992,plain,
% 37.74/24.13 (v123(constB48, bitIndex1)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5991, 5987])).
% 37.74/24.13 tff(5993,plain,
% 37.74/24.13 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5994,plain,
% 37.74/24.13 ((v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1))) <=> (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(5995,plain,
% 37.74/24.13 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48))))),
% 37.74/24.13 inference(monotonicity,[status(thm)],[5994])).
% 37.74/24.13 tff(5996,plain,
% 37.74/24.13 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 37.74/24.13 inference(transitivity,[status(thm)],[5995, 5993])).
% 37.74/24.13 tff(5997,plain,
% 37.74/24.13 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))),
% 37.74/24.13 inference(quant_inst,[status(thm)],[])).
% 37.74/24.13 tff(5998,plain,
% 37.74/24.13 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48))),
% 37.74/24.13 inference(modus_ponens,[status(thm)],[5997, 5996])).
% 37.74/24.13 tff(5999,plain,
% 37.74/24.13 (v84(constB48, bitIndex1) | (~v94(constB48))),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5998, 905, 5992])).
% 37.74/24.13 tff(6000,plain,
% 37.74/24.13 (v84(constB48, bitIndex1)),
% 37.74/24.13 inference(unit_resolution,[status(thm)],[5999, 5926])).
% 37.74/24.13 tff(6001,plain,
% 37.74/24.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.13 tff(6002,plain,
% 37.74/24.13 (((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1)) <=> ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 37.74/24.13 inference(rewrite,[status(thm)],[])).
% 37.74/24.14 tff(6003,plain,
% 37.74/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1)))),
% 37.74/24.14 inference(monotonicity,[status(thm)],[6002])).
% 37.74/24.14 tff(6004,plain,
% 37.74/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 37.74/24.14 inference(transitivity,[status(thm)],[6003, 6001])).
% 37.74/24.14 tff(6005,plain,
% 37.74/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))),
% 37.74/24.14 inference(quant_inst,[status(thm)],[])).
% 37.74/24.14 tff(6006,plain,
% 37.74/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1)),
% 37.74/24.14 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 37.74/24.14 tff(6007,plain,
% 37.74/24.14 ((~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1)),
% 37.74/24.14 inference(unit_resolution,[status(thm)],[6006, 923, 5957])).
% 37.74/24.14 tff(6008,plain,
% 37.74/24.14 ((~v84(constB48, bitIndex1)) | v84(constB49, bitIndex1)),
% 37.74/24.14 inference(unit_resolution,[status(thm)],[6007, 5969])).
% 37.74/24.14 tff(6009,plain,
% 37.74/24.14 (v84(constB49, bitIndex1)),
% 37.74/24.14 inference(unit_resolution,[status(thm)],[6008, 6000])).
% 37.74/24.14 tff(6010,plain,
% 37.74/24.14 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB47)) | (~v124(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB47)) | (~v124(constB47, bitIndex0)))),
% 37.74/24.14 inference(rewrite,[status(thm)],[])).
% 37.74/24.14 tff(6011,plain,
% 37.74/24.14 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB47)) | (~v124(constB47, bitIndex0)))),
% 37.74/24.14 inference(quant_inst,[status(thm)],[])).
% 37.74/24.14 tff(6012,plain,
% 37.74/24.14 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB47)) | (~v124(constB47, bitIndex0))),
% 37.74/24.14 inference(modus_ponens,[status(thm)],[6011, 6010])).
% 37.74/24.14 tff(6013,plain,
% 37.74/24.14 (~v124(constB47, bitIndex0)),
% 37.74/24.14 inference(unit_resolution,[status(thm)],[6012, 1554, 5852])).
% 37.74/24.14 tff(6014,plain,
% 37.74/24.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 37.74/24.14 inference(rewrite,[status(thm)],[])).
% 37.74/24.14 tff(6015,plain,
% 37.74/24.14 ((v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0))) <=> ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 37.74/24.14 inference(rewrite,[status(thm)],[])).
% 37.74/24.14 tff(6016,plain,
% 37.74/24.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0)))),
% 37.74/24.14 inference(monotonicity,[status(thm)],[6015])).
% 37.74/24.14 tff(6017,plain,
% 37.74/24.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 37.74/24.14 inference(transitivity,[status(thm)],[6016, 6014])).
% 37.74/24.14 tff(6018,plain,
% 37.74/24.14 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))),
% 37.74/24.14 inference(quant_inst,[status(thm)],[])).
% 37.74/24.14 tff(6019,plain,
% 37.74/24.14 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0)),
% 37.74/24.14 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 37.74/24.14 tff(6020,plain,
% 37.74/24.14 ((~v121(constB47, bitIndex0)) | v124(constB47, bitIndex0)),
% 37.74/24.14 inference(unit_resolution,[status(thm)],[6019, 650, 5880])).
% 37.74/24.14 tff(6021,plain,
% 37.74/24.14 (~v121(constB47, bitIndex0)),
% 37.74/24.14 inference(unit_resolution,[status(thm)],[6020, 6013])).
% 37.74/24.14 tff(6022,plain,
% 37.74/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))),
% 37.74/24.14 inference(rewrite,[status(thm)],[])).
% 37.74/24.14 tff(6023,plain,
% 37.74/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))),
% 37.74/24.14 inference(quant_inst,[status(thm)],[])).
% 37.74/24.14 tff(6024,plain,
% 37.74/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0))),
% 37.74/24.14 inference(modus_ponens,[status(thm)],[6023, 6022])).
% 37.74/24.14 tff(6025,plain,
% 37.74/24.14 (v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0))),
% 37.74/24.14 inference(unit_resolution,[status(thm)],[6024, 668, 5892])).
% 37.74/24.14 tff(6026,plain,
% 37.74/24.14 (~v123(constB48, bitIndex0)),
% 37.74/24.14 inference(unit_resolution,[status(thm)],[6025, 6021])).
% 37.74/24.14 tff(6027,plain,
% 37.74/24.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 37.74/24.14 inference(rewrite,[status(thm)],[])).
% 37.74/24.14 tff(6028,plain,
% 37.74/24.14 (((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0)) <=> ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 37.74/24.14 inference(rewrite,[status(thm)],[])).
% 37.74/24.14 tff(6029,plain,
% 37.74/24.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48))))),
% 37.74/24.14 inference(monotonicity,[status(thm)],[6028])).
% 37.74/24.14 tff(6030,plain,
% 37.74/24.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 37.74/24.14 inference(transitivity,[status(thm)],[6029, 6027])).
% 37.74/24.14 tff(6031,plain,
% 37.74/24.14 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6032,plain,
% 37.75/24.14 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 37.75/24.14 tff(6033,plain,
% 37.75/24.14 ((~v84(constB48, bitIndex0)) | (~v94(constB48))),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6032, 683, 6026])).
% 37.75/24.14 tff(6034,plain,
% 37.75/24.14 (~v84(constB48, bitIndex0)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6033, 5926])).
% 37.75/24.14 tff(6035,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6036,plain,
% 37.75/24.14 (((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0))) <=> (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6037,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0))))),
% 37.75/24.14 inference(monotonicity,[status(thm)],[6036])).
% 37.75/24.14 tff(6038,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 37.75/24.14 inference(transitivity,[status(thm)],[6037, 6035])).
% 37.75/24.14 tff(6039,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6040,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 37.75/24.14 tff(6041,plain,
% 37.75/24.14 (v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0))),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6040, 249, 5957])).
% 37.75/24.14 tff(6042,plain,
% 37.75/24.14 (v84(constB48, bitIndex0) | (~v84(constB49, bitIndex0))),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6041, 5969])).
% 37.75/24.14 tff(6043,plain,
% 37.75/24.14 (~v84(constB49, bitIndex0)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6042, 6034])).
% 37.75/24.14 tff(6044,assumption,(~v115(constB49)), introduced(assumption)).
% 37.75/24.14 tff(6045,plain,
% 37.75/24.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2) | v115(constB49))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2) | v115(constB49))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6046,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2) | v115(constB49))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6047,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2) | v115(constB49)),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 37.75/24.14 tff(6048,plain,
% 37.75/24.14 (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex2)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6047, 1598, 6044])).
% 37.75/24.14 tff(6049,plain,
% 37.75/24.14 ($false),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6048, 6043, 6009, 5978])).
% 37.75/24.14 tff(6050,plain,((~v145(constB47)) | v115(constB49)), inference(lemma,lemma(discharge,[]))).
% 37.75/24.14 tff(6051,plain,
% 37.75/24.14 (v115(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6050, 5851])).
% 37.75/24.14 tff(6052,plain,
% 37.75/24.14 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB49) | (~v115(constB49)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB49) | (~v115(constB49)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6053,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB49) | (~v115(constB49)))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6054,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB49) | (~v115(constB49))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6053, 6052])).
% 37.75/24.14 tff(6055,plain,
% 37.75/24.14 (v111(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6054, 1609, 6051])).
% 37.75/24.14 tff(6056,plain,
% 37.75/24.14 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB49) | (~v111(constB49)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB49) | (~v111(constB49)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6057,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB49) | (~v111(constB49)))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6058,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB49) | (~v111(constB49))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6057, 6056])).
% 37.75/24.14 tff(6059,plain,
% 37.75/24.14 (v110(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6058, 303, 6055])).
% 37.75/24.14 tff(6060,plain,
% 37.75/24.14 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB49) | (~v110(constB49)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB49) | (~v110(constB49)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6061,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB49) | (~v110(constB49)))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6062,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB49) | (~v110(constB49))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 37.75/24.14 tff(6063,plain,
% 37.75/24.14 (v109(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6062, 314, 6059])).
% 37.75/24.14 tff(6064,plain,
% 37.75/24.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB49) | (~v109(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB49) | (~v109(constB49)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6065,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB49) | (~v109(constB49)))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6066,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB49) | (~v109(constB49))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6065, 6064])).
% 37.75/24.14 tff(6067,plain,
% 37.75/24.14 (v108(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6066, 325, 6063])).
% 37.75/24.14 tff(6068,plain,
% 37.75/24.14 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB49) | (~v108(constB49)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB49) | (~v108(constB49)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6069,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB49) | (~v108(constB49)))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6070,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB49) | (~v108(constB49))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 37.75/24.14 tff(6071,plain,
% 37.75/24.14 (v107(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6070, 336, 6067])).
% 37.75/24.14 tff(6072,assumption,(v26(constB49)), introduced(assumption)).
% 37.75/24.14 tff(6073,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6074,plain,
% 37.75/24.14 ($false),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6073, 120, 6072])).
% 37.75/24.14 tff(6075,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 37.75/24.14 tff(6076,plain,
% 37.75/24.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB49) | (~v107(constB49)) | v106(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB49) | (~v107(constB49)) | v106(constB49))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6077,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB49) | (~v107(constB49)) | v106(constB49))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6078,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB49) | (~v107(constB49)) | v106(constB49)),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 37.75/24.14 tff(6079,plain,
% 37.75/24.14 ((~v107(constB49)) | v106(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6078, 350, 6075])).
% 37.75/24.14 tff(6080,plain,
% 37.75/24.14 (v106(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6079, 6071])).
% 37.75/24.14 tff(6081,plain,
% 37.75/24.14 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB49) | (~v106(constB49)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB49) | (~v106(constB49)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6082,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB49) | (~v106(constB49)))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6083,plain,
% 37.75/24.14 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB49) | (~v106(constB49))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 37.75/24.14 tff(6084,plain,
% 37.75/24.14 (v102(constB49)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6083, 362, 6080])).
% 37.75/24.14 tff(6085,plain,
% 37.75/24.14 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6086,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 37.75/24.14 tff(6087,plain,
% 37.75/24.14 (nextState(constB49, constB50)),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 37.75/24.14 tff(6088,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6089,plain,
% 37.75/24.14 (((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50)) <=> ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6090,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49))))),
% 37.75/24.14 inference(monotonicity,[status(thm)],[6089])).
% 37.75/24.14 tff(6091,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 37.75/24.14 inference(transitivity,[status(thm)],[6090, 6088])).
% 37.75/24.14 tff(6092,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6093,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 37.75/24.14 tff(6094,plain,
% 37.75/24.14 (v104(constB50) | (~v102(constB49))),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6093, 379, 6087])).
% 37.75/24.14 tff(6095,plain,
% 37.75/24.14 (v104(constB50)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6094, 6084])).
% 37.75/24.14 tff(6096,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6097,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6098,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50))),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 37.75/24.14 tff(6099,plain,
% 37.75/24.14 (~v98(constB50)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6098, 397, 6087, 5954])).
% 37.75/24.14 tff(6100,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6101,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))),
% 37.75/24.14 inference(quant_inst,[status(thm)],[])).
% 37.75/24.14 tff(6102,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB49, constB50)) | v96(constB50) | v98(constB50)),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 37.75/24.14 tff(6103,plain,
% 37.75/24.14 (v96(constB50) | v98(constB50)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6102, 411, 6087])).
% 37.75/24.14 tff(6104,plain,
% 37.75/24.14 (v96(constB50)),
% 37.75/24.14 inference(unit_resolution,[status(thm)],[6103, 6099])).
% 37.75/24.14 tff(6105,plain,
% 37.75/24.14 (v1(constB50) <=> v1(constB50)),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6106,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 37.75/24.14 tff(6107,plain,
% 37.75/24.14 (v1(constB50)),
% 37.75/24.14 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 37.75/24.14 tff(6108,plain,
% 37.75/24.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))),
% 37.75/24.14 inference(rewrite,[status(thm)],[])).
% 37.75/24.14 tff(6109,plain,
% 37.75/24.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6110,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 37.75/24.15 tff(6111,plain,
% 37.75/24.15 (v95(constB50) | (~v96(constB50))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6110, 429, 6087, 6107])).
% 37.75/24.15 tff(6112,plain,
% 37.75/24.15 (v95(constB50)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6111, 6104])).
% 37.75/24.15 tff(6113,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6114,plain,
% 37.75/24.15 (((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50)) <=> ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6115,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50))))),
% 37.75/24.15 inference(monotonicity,[status(thm)],[6114])).
% 37.75/24.15 tff(6116,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 37.75/24.15 inference(transitivity,[status(thm)],[6115, 6113])).
% 37.75/24.15 tff(6117,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6118,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6117, 6116])).
% 37.75/24.15 tff(6119,plain,
% 37.75/24.15 (v94(constB50) | (~v95(constB50)) | (~v104(constB50))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6118, 444, 6087])).
% 37.75/24.15 tff(6120,plain,
% 37.75/24.15 (v94(constB50) | (~v104(constB50))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6119, 6112])).
% 37.75/24.15 tff(6121,plain,
% 37.75/24.15 (v94(constB50)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6120, 6095])).
% 37.75/24.15 tff(6122,plain,
% 37.75/24.15 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB49)) | (~v124(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB49)) | (~v124(constB49, bitIndex2)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6123,plain,
% 37.75/24.15 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB49)) | (~v124(constB49, bitIndex2)))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6124,plain,
% 37.75/24.15 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB49)) | (~v124(constB49, bitIndex2))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 37.75/24.15 tff(6125,plain,
% 37.75/24.15 (~v124(constB49, bitIndex2)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6124, 1688, 6051])).
% 37.75/24.15 tff(6126,plain,
% 37.75/24.15 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6127,plain,
% 37.75/24.15 ((v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2))) <=> ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6128,plain,
% 37.75/24.15 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2)))),
% 37.75/24.15 inference(monotonicity,[status(thm)],[6127])).
% 37.75/24.15 tff(6129,plain,
% 37.75/24.15 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 37.75/24.15 inference(transitivity,[status(thm)],[6128, 6126])).
% 37.75/24.15 tff(6130,plain,
% 37.75/24.15 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6131,plain,
% 37.75/24.15 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2)),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 37.75/24.15 tff(6132,plain,
% 37.75/24.15 ((~v121(constB49, bitIndex2)) | v124(constB49, bitIndex2)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6131, 1147, 6075])).
% 37.75/24.15 tff(6133,plain,
% 37.75/24.15 (~v121(constB49, bitIndex2)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6132, 6125])).
% 37.75/24.15 tff(6134,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6135,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6136,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 37.75/24.15 tff(6137,plain,
% 37.75/24.15 (v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6136, 1165, 6087])).
% 37.75/24.15 tff(6138,plain,
% 37.75/24.15 (~v123(constB50, bitIndex2)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6137, 6133])).
% 37.75/24.15 tff(6139,plain,
% 37.75/24.15 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6140,plain,
% 37.75/24.15 (((~v84(constB50, bitIndex2)) | (~v94(constB50)) | v123(constB50, bitIndex2)) <=> ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6141,plain,
% 37.75/24.15 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | (~v94(constB50)) | v123(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50))))),
% 37.75/24.15 inference(monotonicity,[status(thm)],[6140])).
% 37.75/24.15 tff(6142,plain,
% 37.75/24.15 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | (~v94(constB50)) | v123(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 37.75/24.15 inference(transitivity,[status(thm)],[6141, 6139])).
% 37.75/24.15 tff(6143,plain,
% 37.75/24.15 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | (~v94(constB50)) | v123(constB50, bitIndex2))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6144,plain,
% 37.75/24.15 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 37.75/24.15 tff(6145,plain,
% 37.75/24.15 ((~v84(constB50, bitIndex2)) | (~v94(constB50))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6144, 1180, 6138])).
% 37.75/24.15 tff(6146,plain,
% 37.75/24.15 (~v84(constB50, bitIndex2)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6145, 6121])).
% 37.75/24.15 tff(6147,plain,
% 37.75/24.15 ((~v1(constB51)) <=> (~v1(constB51))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6148,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 37.75/24.15 tff(6149,plain,
% 37.75/24.15 (~v1(constB51)),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6148, 6147])).
% 37.75/24.15 tff(6150,plain,
% 37.75/24.15 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6151,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 37.75/24.15 tff(6152,plain,
% 37.75/24.15 (nextState(constB50, constB51)),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 37.75/24.15 tff(6153,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6154,plain,
% 37.75/24.15 (((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6155,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51))))),
% 37.75/24.15 inference(monotonicity,[status(thm)],[6154])).
% 37.75/24.15 tff(6156,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 37.75/24.15 inference(transitivity,[status(thm)],[6155, 6153])).
% 37.75/24.15 tff(6157,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6158,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6157, 6156])).
% 37.75/24.15 tff(6159,plain,
% 37.75/24.15 (~v95(constB51)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6158, 175, 6152, 6149])).
% 37.75/24.15 tff(6160,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6161,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6162,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6161, 6160])).
% 37.75/24.15 tff(6163,plain,
% 37.75/24.15 (v95(constB51) | (~v94(constB51))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6162, 192, 6152])).
% 37.75/24.15 tff(6164,plain,
% 37.75/24.15 (~v94(constB51)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6163, 6159])).
% 37.75/24.15 tff(6165,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6166,plain,
% 37.75/24.15 (((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2))) <=> (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6167,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2))))),
% 37.75/24.15 inference(monotonicity,[status(thm)],[6166])).
% 37.75/24.15 tff(6168,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 37.75/24.15 inference(transitivity,[status(thm)],[6167, 6165])).
% 37.75/24.15 tff(6169,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6170,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 37.75/24.15 tff(6171,plain,
% 37.75/24.15 (v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6170, 207, 6152])).
% 37.75/24.15 tff(6172,plain,
% 37.75/24.15 (v84(constB50, bitIndex2) | (~v84(constB51, bitIndex2))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6171, 6164])).
% 37.75/24.15 tff(6173,plain,
% 37.75/24.15 (~v84(constB51, bitIndex2)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6172, 6146])).
% 37.75/24.15 tff(6174,plain,
% 37.75/24.15 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB49)) | v124(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB49)) | v124(constB49, bitIndex1))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6175,plain,
% 37.75/24.15 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB49)) | v124(constB49, bitIndex1))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6176,plain,
% 37.75/24.15 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB49)) | v124(constB49, bitIndex1)),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6175, 6174])).
% 37.75/24.15 tff(6177,plain,
% 37.75/24.15 (v124(constB49, bitIndex1)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6176, 1750, 6051])).
% 37.75/24.15 tff(6178,plain,
% 37.75/24.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB49) | (~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB49) | (~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6179,plain,
% 37.75/24.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB49) | (~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6180,plain,
% 37.75/24.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB49) | (~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1)),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6179, 6178])).
% 37.75/24.15 tff(6181,plain,
% 37.75/24.15 ((~v124(constB49, bitIndex1)) | v121(constB49, bitIndex1)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6180, 875, 6075])).
% 37.75/24.15 tff(6182,plain,
% 37.75/24.15 (v121(constB49, bitIndex1)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6181, 6177])).
% 37.75/24.15 tff(6183,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6184,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6185,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1)),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6184, 6183])).
% 37.75/24.15 tff(6186,plain,
% 37.75/24.15 ((~v121(constB49, bitIndex1)) | v123(constB50, bitIndex1)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6185, 890, 6087])).
% 37.75/24.15 tff(6187,plain,
% 37.75/24.15 (v123(constB50, bitIndex1)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6186, 6182])).
% 37.75/24.15 tff(6188,plain,
% 37.75/24.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6189,plain,
% 37.75/24.15 ((v84(constB50, bitIndex1) | (~v94(constB50)) | (~v123(constB50, bitIndex1))) <=> (v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50)))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6190,plain,
% 37.75/24.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v94(constB50)) | (~v123(constB50, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50))))),
% 37.75/24.15 inference(monotonicity,[status(thm)],[6189])).
% 37.75/24.15 tff(6191,plain,
% 37.75/24.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v94(constB50)) | (~v123(constB50, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50)))),
% 37.75/24.15 inference(transitivity,[status(thm)],[6190, 6188])).
% 37.75/24.15 tff(6192,plain,
% 37.75/24.15 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~v94(constB50)) | (~v123(constB50, bitIndex1)))),
% 37.75/24.15 inference(quant_inst,[status(thm)],[])).
% 37.75/24.15 tff(6193,plain,
% 37.75/24.15 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~v123(constB50, bitIndex1)) | (~v94(constB50))),
% 37.75/24.15 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 37.75/24.15 tff(6194,plain,
% 37.75/24.15 (v84(constB50, bitIndex1) | (~v94(constB50))),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6193, 905, 6187])).
% 37.75/24.15 tff(6195,plain,
% 37.75/24.15 (v84(constB50, bitIndex1)),
% 37.75/24.15 inference(unit_resolution,[status(thm)],[6194, 6121])).
% 37.75/24.15 tff(6196,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6197,plain,
% 37.75/24.15 (((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1)) <=> ((~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1))),
% 37.75/24.15 inference(rewrite,[status(thm)],[])).
% 37.75/24.15 tff(6198,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1)))),
% 37.75/24.15 inference(monotonicity,[status(thm)],[6197])).
% 37.75/24.15 tff(6199,plain,
% 37.75/24.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1))),
% 37.75/24.15 inference(transitivity,[status(thm)],[6198, 6196])).
% 37.75/24.15 tff(6200,plain,
% 37.75/24.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6201,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex1)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6200, 6199])).
% 37.75/24.16 tff(6202,plain,
% 37.75/24.16 ((~v84(constB50, bitIndex1)) | v94(constB51) | v84(constB51, bitIndex1)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6201, 923, 6152])).
% 37.75/24.16 tff(6203,plain,
% 37.75/24.16 ((~v84(constB50, bitIndex1)) | v84(constB51, bitIndex1)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6202, 6164])).
% 37.75/24.16 tff(6204,plain,
% 37.75/24.16 (v84(constB51, bitIndex1)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6203, 6195])).
% 37.75/24.16 tff(6205,plain,
% 37.75/24.16 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB49)) | v124(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB49)) | v124(constB49, bitIndex0))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6206,plain,
% 37.75/24.16 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB49)) | v124(constB49, bitIndex0))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6207,plain,
% 37.75/24.16 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB49)) | v124(constB49, bitIndex0)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 37.75/24.16 tff(6208,plain,
% 37.75/24.16 (v124(constB49, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6207, 1791, 6051])).
% 37.75/24.16 tff(6209,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6210,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6211,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 37.75/24.16 tff(6212,plain,
% 37.75/24.16 ((~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6211, 1289, 6075])).
% 37.75/24.16 tff(6213,plain,
% 37.75/24.16 (v121(constB49, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6212, 6208])).
% 37.75/24.16 tff(6214,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6215,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6216,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6215, 6214])).
% 37.75/24.16 tff(6217,plain,
% 37.75/24.16 ((~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6216, 1304, 6087])).
% 37.75/24.16 tff(6218,plain,
% 37.75/24.16 (v123(constB50, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6217, 6213])).
% 37.75/24.16 tff(6219,plain,
% 37.75/24.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6220,plain,
% 37.75/24.16 ((v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0))) <=> (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6221,plain,
% 37.75/24.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50))))),
% 37.75/24.16 inference(monotonicity,[status(thm)],[6220])).
% 37.75/24.16 tff(6222,plain,
% 37.75/24.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 37.75/24.16 inference(transitivity,[status(thm)],[6221, 6219])).
% 37.75/24.16 tff(6223,plain,
% 37.75/24.16 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6224,plain,
% 37.75/24.16 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6223, 6222])).
% 37.75/24.16 tff(6225,plain,
% 37.75/24.16 (v84(constB50, bitIndex0) | (~v94(constB50))),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6224, 1319, 6218])).
% 37.75/24.16 tff(6226,plain,
% 37.75/24.16 (v84(constB50, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6225, 6121])).
% 37.75/24.16 tff(6227,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6228,plain,
% 37.75/24.16 (((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0)) <=> ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6229,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0)))),
% 37.75/24.16 inference(monotonicity,[status(thm)],[6228])).
% 37.75/24.16 tff(6230,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 37.75/24.16 inference(transitivity,[status(thm)],[6229, 6227])).
% 37.75/24.16 tff(6231,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6232,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6231, 6230])).
% 37.75/24.16 tff(6233,plain,
% 37.75/24.16 ((~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6232, 1337, 6152])).
% 37.75/24.16 tff(6234,plain,
% 37.75/24.16 ((~v84(constB50, bitIndex0)) | v84(constB51, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6233, 6164])).
% 37.75/24.16 tff(6235,plain,
% 37.75/24.16 (v84(constB51, bitIndex0)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6234, 6226])).
% 37.75/24.16 tff(6236,plain,
% 37.75/24.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB51, bitIndex0)) | (~v84(constB51, bitIndex1)) | v84(constB51, bitIndex2) | v116(constB51))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB51, bitIndex0)) | (~v84(constB51, bitIndex1)) | v84(constB51, bitIndex2) | v116(constB51))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6237,plain,
% 37.75/24.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB51, bitIndex0)) | (~v84(constB51, bitIndex1)) | v84(constB51, bitIndex2) | v116(constB51))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6238,plain,
% 37.75/24.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB51, bitIndex0)) | (~v84(constB51, bitIndex1)) | v84(constB51, bitIndex2) | v116(constB51)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 37.75/24.16 tff(6239,plain,
% 37.75/24.16 (v116(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6238, 1832, 6235, 6204, 6173])).
% 37.75/24.16 tff(6240,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB51) | (~v116(constB51)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6241,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB51) | (~v116(constB51)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6242,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB51) | (~v116(constB51))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 37.75/24.16 tff(6243,plain,
% 37.75/24.16 (v110(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6242, 1843, 6239])).
% 37.75/24.16 tff(6244,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB51) | (~v110(constB51)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB51) | (~v110(constB51)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6245,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB51) | (~v110(constB51)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6246,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB51) | (~v110(constB51))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 37.75/24.16 tff(6247,plain,
% 37.75/24.16 (v109(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6246, 314, 6243])).
% 37.75/24.16 tff(6248,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB51) | (~v109(constB51)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB51) | (~v109(constB51)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6249,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB51) | (~v109(constB51)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6250,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB51) | (~v109(constB51))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6249, 6248])).
% 37.75/24.16 tff(6251,plain,
% 37.75/24.16 (v108(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6250, 325, 6247])).
% 37.75/24.16 tff(6252,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB51) | (~v108(constB51)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB51) | (~v108(constB51)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6253,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB51) | (~v108(constB51)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6254,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB51) | (~v108(constB51))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 37.75/24.16 tff(6255,plain,
% 37.75/24.16 (v107(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6254, 336, 6251])).
% 37.75/24.16 tff(6256,assumption,(~v102(constB51)), introduced(assumption)).
% 37.75/24.16 tff(6257,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB51) | (~v106(constB51)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB51) | (~v106(constB51)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6258,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB51) | (~v106(constB51)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6259,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB51) | (~v106(constB51))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 37.75/24.16 tff(6260,plain,
% 37.75/24.16 (~v106(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6259, 362, 6256])).
% 37.75/24.16 tff(6261,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB51) | (~v26(constB51)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB51) | (~v26(constB51)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6262,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB51) | (~v26(constB51)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6263,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB51) | (~v26(constB51))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 37.75/24.16 tff(6264,plain,
% 37.75/24.16 (~v26(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6263, 753, 6256])).
% 37.75/24.16 tff(6265,assumption,(v107(constB51)), introduced(assumption)).
% 37.75/24.16 tff(6266,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB51) | (~v107(constB51)) | v106(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB51) | (~v107(constB51)) | v106(constB51))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6267,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB51) | (~v107(constB51)) | v106(constB51))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6268,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB51) | (~v107(constB51)) | v106(constB51)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6267, 6266])).
% 37.75/24.16 tff(6269,plain,
% 37.75/24.16 (v26(constB51) | v106(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6268, 350, 6265])).
% 37.75/24.16 tff(6270,plain,
% 37.75/24.16 ($false),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6269, 6264, 6260])).
% 37.75/24.16 tff(6271,plain,(v102(constB51) | (~v107(constB51))), inference(lemma,lemma(discharge,[]))).
% 37.75/24.16 tff(6272,plain,
% 37.75/24.16 (v102(constB51)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6271, 6255])).
% 37.75/24.16 tff(6273,plain,
% 37.75/24.16 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6274,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 37.75/24.16 tff(6275,plain,
% 37.75/24.16 (nextState(constB51, constB52)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 37.75/24.16 tff(6276,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6277,plain,
% 37.75/24.16 (((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52)) <=> ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6278,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51))))),
% 37.75/24.16 inference(monotonicity,[status(thm)],[6277])).
% 37.75/24.16 tff(6279,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 37.75/24.16 inference(transitivity,[status(thm)],[6278, 6276])).
% 37.75/24.16 tff(6280,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6281,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6280, 6279])).
% 37.75/24.16 tff(6282,plain,
% 37.75/24.16 (v104(constB52) | (~v102(constB51))),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6281, 379, 6275])).
% 37.75/24.16 tff(6283,plain,
% 37.75/24.16 (v104(constB52)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6282, 6272])).
% 37.75/24.16 tff(6284,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6285,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6286,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6285, 6284])).
% 37.75/24.16 tff(6287,plain,
% 37.75/24.16 (~v98(constB52)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6286, 397, 6275, 6149])).
% 37.75/24.16 tff(6288,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6289,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6290,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB51, constB52)) | v96(constB52) | v98(constB52)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 37.75/24.16 tff(6291,plain,
% 37.75/24.16 (v96(constB52) | v98(constB52)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6290, 411, 6275])).
% 37.75/24.16 tff(6292,plain,
% 37.75/24.16 (v96(constB52)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6291, 6287])).
% 37.75/24.16 tff(6293,plain,
% 37.75/24.16 (v1(constB52) <=> v1(constB52)),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6294,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 37.75/24.16 tff(6295,plain,
% 37.75/24.16 (v1(constB52)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6294, 6293])).
% 37.75/24.16 tff(6296,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6297,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6298,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 37.75/24.16 tff(6299,plain,
% 37.75/24.16 (v95(constB52) | (~v96(constB52))),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6298, 429, 6275, 6295])).
% 37.75/24.16 tff(6300,plain,
% 37.75/24.16 (v95(constB52)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6299, 6292])).
% 37.75/24.16 tff(6301,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6302,plain,
% 37.75/24.16 (((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52)) <=> ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6303,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52))))),
% 37.75/24.16 inference(monotonicity,[status(thm)],[6302])).
% 37.75/24.16 tff(6304,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 37.75/24.16 inference(transitivity,[status(thm)],[6303, 6301])).
% 37.75/24.16 tff(6305,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6306,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52))),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 37.75/24.16 tff(6307,plain,
% 37.75/24.16 (v94(constB52) | (~v95(constB52)) | (~v104(constB52))),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6306, 444, 6275])).
% 37.75/24.16 tff(6308,plain,
% 37.75/24.16 (v94(constB52) | (~v104(constB52))),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6307, 6300])).
% 37.75/24.16 tff(6309,plain,
% 37.75/24.16 (v94(constB52)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6308, 6283])).
% 37.75/24.16 tff(6310,plain,
% 37.75/24.16 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB51)) | v124(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB51)) | v124(constB51, bitIndex2))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6311,plain,
% 37.75/24.16 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB51)) | v124(constB51, bitIndex2))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6312,plain,
% 37.75/24.16 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB51)) | v124(constB51, bitIndex2)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6311, 6310])).
% 37.75/24.16 tff(6313,plain,
% 37.75/24.16 (v124(constB51, bitIndex2)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6312, 1918, 6239])).
% 37.75/24.16 tff(6314,assumption,(v26(constB51)), introduced(assumption)).
% 37.75/24.16 tff(6315,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6316,plain,
% 37.75/24.16 ($false),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6315, 120, 6314])).
% 37.75/24.16 tff(6317,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 37.75/24.16 tff(6318,plain,
% 37.75/24.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB51) | (~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB51) | (~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6319,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB51) | (~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6320,plain,
% 37.75/24.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB51) | (~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 37.75/24.16 tff(6321,plain,
% 37.75/24.16 ((~v124(constB51, bitIndex2)) | v121(constB51, bitIndex2)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6320, 477, 6317])).
% 37.75/24.16 tff(6322,plain,
% 37.75/24.16 (v121(constB51, bitIndex2)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6321, 6313])).
% 37.75/24.16 tff(6323,plain,
% 37.75/24.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2))),
% 37.75/24.16 inference(rewrite,[status(thm)],[])).
% 37.75/24.16 tff(6324,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2))),
% 37.75/24.16 inference(quant_inst,[status(thm)],[])).
% 37.75/24.16 tff(6325,plain,
% 37.75/24.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2)),
% 37.75/24.16 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 37.75/24.16 tff(6326,plain,
% 37.75/24.16 ((~v121(constB51, bitIndex2)) | v123(constB52, bitIndex2)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6325, 492, 6275])).
% 37.75/24.16 tff(6327,plain,
% 37.75/24.16 (v123(constB52, bitIndex2)),
% 37.75/24.16 inference(unit_resolution,[status(thm)],[6326, 6322])).
% 37.75/24.16 tff(6328,plain,
% 37.75/24.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6329,plain,
% 37.75/24.17 ((v84(constB52, bitIndex2) | (~v94(constB52)) | (~v123(constB52, bitIndex2))) <=> (v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6330,plain,
% 37.75/24.17 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v94(constB52)) | (~v123(constB52, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52))))),
% 37.75/24.17 inference(monotonicity,[status(thm)],[6329])).
% 37.75/24.17 tff(6331,plain,
% 37.75/24.17 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v94(constB52)) | (~v123(constB52, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52)))),
% 37.75/24.17 inference(transitivity,[status(thm)],[6330, 6328])).
% 37.75/24.17 tff(6332,plain,
% 37.75/24.17 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~v94(constB52)) | (~v123(constB52, bitIndex2)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6333,plain,
% 37.75/24.17 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~v123(constB52, bitIndex2)) | (~v94(constB52))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 37.75/24.17 tff(6334,plain,
% 37.75/24.17 (v84(constB52, bitIndex2) | (~v94(constB52))),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6333, 507, 6327])).
% 37.75/24.17 tff(6335,plain,
% 37.75/24.17 (v84(constB52, bitIndex2)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6334, 6309])).
% 37.75/24.17 tff(6336,plain,
% 37.75/24.17 ((~v1(constB53)) <=> (~v1(constB53))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6337,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 37.75/24.17 tff(6338,plain,
% 37.75/24.17 (~v1(constB53)),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6337, 6336])).
% 37.75/24.17 tff(6339,plain,
% 37.75/24.17 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6340,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 37.75/24.17 tff(6341,plain,
% 37.75/24.17 (nextState(constB52, constB53)),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 37.75/24.17 tff(6342,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6343,plain,
% 37.75/24.17 (((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6344,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53))))),
% 37.75/24.17 inference(monotonicity,[status(thm)],[6343])).
% 37.75/24.17 tff(6345,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 37.75/24.17 inference(transitivity,[status(thm)],[6344, 6342])).
% 37.75/24.17 tff(6346,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6347,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6346, 6345])).
% 37.75/24.17 tff(6348,plain,
% 37.75/24.17 (~v95(constB53)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6347, 175, 6341, 6338])).
% 37.75/24.17 tff(6349,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6350,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6351,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6350, 6349])).
% 37.75/24.17 tff(6352,plain,
% 37.75/24.17 (v95(constB53) | (~v94(constB53))),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6351, 192, 6341])).
% 37.75/24.17 tff(6353,plain,
% 37.75/24.17 (~v94(constB53)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6352, 6348])).
% 37.75/24.17 tff(6354,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6355,plain,
% 37.75/24.17 (((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2)) <=> ((~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6356,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2)))),
% 37.75/24.17 inference(monotonicity,[status(thm)],[6355])).
% 37.75/24.17 tff(6357,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2))),
% 37.75/24.17 inference(transitivity,[status(thm)],[6356, 6354])).
% 37.75/24.17 tff(6358,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6359,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex2)),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6358, 6357])).
% 37.75/24.17 tff(6360,plain,
% 37.75/24.17 ((~v84(constB52, bitIndex2)) | v94(constB53) | v84(constB53, bitIndex2)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6359, 543, 6341])).
% 37.75/24.17 tff(6361,plain,
% 37.75/24.17 ((~v84(constB52, bitIndex2)) | v84(constB53, bitIndex2)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6360, 6353])).
% 37.75/24.17 tff(6362,plain,
% 37.75/24.17 (v84(constB53, bitIndex2)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6361, 6335])).
% 37.75/24.17 tff(6363,plain,
% 37.75/24.17 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB51)) | (~v124(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB51)) | (~v124(constB51, bitIndex1)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6364,plain,
% 37.75/24.17 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB51)) | (~v124(constB51, bitIndex1)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6365,plain,
% 37.75/24.17 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB51)) | (~v124(constB51, bitIndex1))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 37.75/24.17 tff(6366,plain,
% 37.75/24.17 (~v124(constB51, bitIndex1)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6365, 1977, 6239])).
% 37.75/24.17 tff(6367,plain,
% 37.75/24.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6368,plain,
% 37.75/24.17 ((v26(constB51) | v124(constB51, bitIndex1) | (~v121(constB51, bitIndex1))) <=> ((~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6369,plain,
% 37.75/24.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB51) | v124(constB51, bitIndex1) | (~v121(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1)))),
% 37.75/24.17 inference(monotonicity,[status(thm)],[6368])).
% 37.75/24.17 tff(6370,plain,
% 37.75/24.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB51) | v124(constB51, bitIndex1) | (~v121(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1))),
% 37.75/24.17 inference(transitivity,[status(thm)],[6369, 6367])).
% 37.75/24.17 tff(6371,plain,
% 37.75/24.17 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB51) | v124(constB51, bitIndex1) | (~v121(constB51, bitIndex1)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6372,plain,
% 37.75/24.17 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB51, bitIndex1)) | v26(constB51) | v124(constB51, bitIndex1)),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6371, 6370])).
% 37.75/24.17 tff(6373,plain,
% 37.75/24.17 ((~v121(constB51, bitIndex1)) | v124(constB51, bitIndex1)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6372, 576, 6317])).
% 37.75/24.17 tff(6374,plain,
% 37.75/24.17 (~v121(constB51, bitIndex1)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6373, 6366])).
% 37.75/24.17 tff(6375,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6376,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6377,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 37.75/24.17 tff(6378,plain,
% 37.75/24.17 (v121(constB51, bitIndex1) | (~v123(constB52, bitIndex1))),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6377, 594, 6275])).
% 37.75/24.17 tff(6379,plain,
% 37.75/24.17 (~v123(constB52, bitIndex1)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6378, 6374])).
% 37.75/24.17 tff(6380,plain,
% 37.75/24.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6381,plain,
% 37.75/24.17 (((~v84(constB52, bitIndex1)) | (~v94(constB52)) | v123(constB52, bitIndex1)) <=> ((~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6382,plain,
% 37.75/24.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~v94(constB52)) | v123(constB52, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52))))),
% 37.75/24.17 inference(monotonicity,[status(thm)],[6381])).
% 37.75/24.17 tff(6383,plain,
% 37.75/24.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~v94(constB52)) | v123(constB52, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52)))),
% 37.75/24.17 inference(transitivity,[status(thm)],[6382, 6380])).
% 37.75/24.17 tff(6384,plain,
% 37.75/24.17 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~v94(constB52)) | v123(constB52, bitIndex1))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6385,plain,
% 37.75/24.17 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | v123(constB52, bitIndex1) | (~v94(constB52))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6384, 6383])).
% 37.75/24.17 tff(6386,plain,
% 37.75/24.17 ((~v84(constB52, bitIndex1)) | (~v94(constB52))),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6385, 609, 6379])).
% 37.75/24.17 tff(6387,plain,
% 37.75/24.17 (~v84(constB52, bitIndex1)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6386, 6309])).
% 37.75/24.17 tff(6388,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6389,plain,
% 37.75/24.17 (((~nextState(constB52, constB53)) | v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1))) <=> (v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6390,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1))))),
% 37.75/24.17 inference(monotonicity,[status(thm)],[6389])).
% 37.75/24.17 tff(6391,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1)))),
% 37.75/24.17 inference(transitivity,[status(thm)],[6390, 6388])).
% 37.75/24.17 tff(6392,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6393,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex1))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6392, 6391])).
% 37.75/24.17 tff(6394,plain,
% 37.75/24.17 (v84(constB52, bitIndex1) | v94(constB53) | (~v84(constB53, bitIndex1))),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6393, 228, 6341])).
% 37.75/24.17 tff(6395,plain,
% 37.75/24.17 (v84(constB52, bitIndex1) | (~v84(constB53, bitIndex1))),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6394, 6353])).
% 37.75/24.17 tff(6396,plain,
% 37.75/24.17 (~v84(constB53, bitIndex1)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6395, 6387])).
% 37.75/24.17 tff(6397,plain,
% 37.75/24.17 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB51)) | (~v124(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB51)) | (~v124(constB51, bitIndex0)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6398,plain,
% 37.75/24.17 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB51)) | (~v124(constB51, bitIndex0)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6399,plain,
% 37.75/24.17 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB51)) | (~v124(constB51, bitIndex0))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 37.75/24.17 tff(6400,plain,
% 37.75/24.17 (~v124(constB51, bitIndex0)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6399, 2021, 6239])).
% 37.75/24.17 tff(6401,plain,
% 37.75/24.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6402,plain,
% 37.75/24.17 ((v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0))) <=> ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6403,plain,
% 37.75/24.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0)))),
% 37.75/24.17 inference(monotonicity,[status(thm)],[6402])).
% 37.75/24.17 tff(6404,plain,
% 37.75/24.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 37.75/24.17 inference(transitivity,[status(thm)],[6403, 6401])).
% 37.75/24.17 tff(6405,plain,
% 37.75/24.17 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6406,plain,
% 37.75/24.17 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0)),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6405, 6404])).
% 37.75/24.17 tff(6407,plain,
% 37.75/24.17 ((~v121(constB51, bitIndex0)) | v124(constB51, bitIndex0)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6406, 650, 6317])).
% 37.75/24.17 tff(6408,plain,
% 37.75/24.17 (~v121(constB51, bitIndex0)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6407, 6400])).
% 37.75/24.17 tff(6409,plain,
% 37.75/24.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6410,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))),
% 37.75/24.17 inference(quant_inst,[status(thm)],[])).
% 37.75/24.17 tff(6411,plain,
% 37.75/24.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0))),
% 37.75/24.17 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 37.75/24.17 tff(6412,plain,
% 37.75/24.17 (v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0))),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6411, 668, 6275])).
% 37.75/24.17 tff(6413,plain,
% 37.75/24.17 (~v123(constB52, bitIndex0)),
% 37.75/24.17 inference(unit_resolution,[status(thm)],[6412, 6408])).
% 37.75/24.17 tff(6414,plain,
% 37.75/24.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6415,plain,
% 37.75/24.17 (((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0)) <=> ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 37.75/24.17 inference(rewrite,[status(thm)],[])).
% 37.75/24.17 tff(6416,plain,
% 37.75/24.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52))))),
% 37.75/24.17 inference(monotonicity,[status(thm)],[6415])).
% 37.75/24.17 tff(6417,plain,
% 37.75/24.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 37.75/24.17 inference(transitivity,[status(thm)],[6416, 6414])).
% 37.75/24.17 tff(6418,plain,
% 37.75/24.18 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6419,plain,
% 37.75/24.18 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 37.75/24.18 tff(6420,plain,
% 37.75/24.18 ((~v84(constB52, bitIndex0)) | (~v94(constB52))),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6419, 683, 6413])).
% 37.75/24.18 tff(6421,plain,
% 37.75/24.18 (~v84(constB52, bitIndex0)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6420, 6309])).
% 37.75/24.18 tff(6422,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6423,plain,
% 37.75/24.18 (((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0))) <=> (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6424,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0))))),
% 37.75/24.18 inference(monotonicity,[status(thm)],[6423])).
% 37.75/24.18 tff(6425,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 37.75/24.18 inference(transitivity,[status(thm)],[6424, 6422])).
% 37.75/24.18 tff(6426,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6427,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6426, 6425])).
% 37.75/24.18 tff(6428,plain,
% 37.75/24.18 (v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0))),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6427, 249, 6341])).
% 37.75/24.18 tff(6429,plain,
% 37.75/24.18 (v84(constB52, bitIndex0) | (~v84(constB53, bitIndex0))),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6428, 6353])).
% 37.75/24.18 tff(6430,plain,
% 37.75/24.18 (~v84(constB53, bitIndex0)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6429, 6421])).
% 37.75/24.18 tff(6431,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2)) | v172(constB53))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2)) | v172(constB53))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6432,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2)) | v172(constB53))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6433,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2)) | v172(constB53)),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 37.75/24.18 tff(6434,plain,
% 37.75/24.18 (v172(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6433, 710, 6430, 6396, 6362])).
% 37.75/24.18 tff(6435,plain,
% 37.75/24.18 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB53)) | v124(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB53)) | v124(constB53, bitIndex2))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6436,plain,
% 37.75/24.18 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB53)) | v124(constB53, bitIndex2))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6437,plain,
% 37.75/24.18 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB53)) | v124(constB53, bitIndex2)),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 37.75/24.18 tff(6438,plain,
% 37.75/24.18 (v124(constB53, bitIndex2)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6437, 724, 6434])).
% 37.75/24.18 tff(6439,assumption,(v26(constB53)), introduced(assumption)).
% 37.75/24.18 tff(6440,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6441,plain,
% 37.75/24.18 ($false),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6440, 120, 6439])).
% 37.75/24.18 tff(6442,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 37.75/24.18 tff(6443,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB53) | (~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB53) | (~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6444,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB53) | (~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6445,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB53) | (~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2)),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 37.75/24.18 tff(6446,plain,
% 37.75/24.18 ((~v124(constB53, bitIndex2)) | v121(constB53, bitIndex2)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6445, 477, 6442])).
% 37.75/24.18 tff(6447,plain,
% 37.75/24.18 (v121(constB53, bitIndex2)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6446, 6438])).
% 37.75/24.18 tff(6448,plain,
% 37.75/24.18 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6449,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 37.75/24.18 tff(6450,plain,
% 37.75/24.18 (nextState(constB53, constB54)),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6449, 6448])).
% 37.75/24.18 tff(6451,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6452,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6453,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2)),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 37.75/24.18 tff(6454,plain,
% 37.75/24.18 ((~v121(constB53, bitIndex2)) | v123(constB54, bitIndex2)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6453, 492, 6450])).
% 37.75/24.18 tff(6455,plain,
% 37.75/24.18 (v123(constB54, bitIndex2)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6454, 6447])).
% 37.75/24.18 tff(6456,assumption,(~v84(constB53, bitIndex0)), introduced(assumption)).
% 37.75/24.18 tff(6457,assumption,(~v94(constB54)), introduced(assumption)).
% 37.75/24.18 tff(6458,assumption,(~v84(constB54, bitIndex1)), introduced(assumption)).
% 37.75/24.18 tff(6459,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6460,plain,
% 37.75/24.18 (((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1)) <=> ((~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6461,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1)))),
% 37.75/24.18 inference(monotonicity,[status(thm)],[6460])).
% 37.75/24.18 tff(6462,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1))),
% 37.75/24.18 inference(transitivity,[status(thm)],[6461, 6459])).
% 37.75/24.18 tff(6463,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6464,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1)),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 37.75/24.18 tff(6465,plain,
% 37.75/24.18 ((~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6464, 923, 6450])).
% 37.75/24.18 tff(6466,plain,
% 37.75/24.18 (~v84(constB53, bitIndex1)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6465, 6458, 6457])).
% 37.75/24.18 tff(6467,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6468,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6469,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6468, 6467])).
% 37.75/24.18 tff(6470,plain,
% 37.75/24.18 (~v98(constB54)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6469, 397, 6450, 6338])).
% 37.75/24.18 tff(6471,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6472,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6473,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB53, constB54)) | v96(constB54) | v98(constB54)),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6472, 6471])).
% 37.75/24.18 tff(6474,plain,
% 37.75/24.18 (v96(constB54) | v98(constB54)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6473, 411, 6450])).
% 37.75/24.18 tff(6475,plain,
% 37.75/24.18 (v96(constB54)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6474, 6470])).
% 37.75/24.18 tff(6476,plain,
% 37.75/24.18 (v1(constB54) <=> v1(constB54)),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6477,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 37.75/24.18 tff(6478,plain,
% 37.75/24.18 (v1(constB54)),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6477, 6476])).
% 37.75/24.18 tff(6479,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6480,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6481,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 37.75/24.18 tff(6482,plain,
% 37.75/24.18 (v95(constB54) | (~v96(constB54))),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6481, 429, 6450, 6478])).
% 37.75/24.18 tff(6483,plain,
% 37.75/24.18 (v95(constB54)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6482, 6475])).
% 37.75/24.18 tff(6484,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6485,plain,
% 37.75/24.18 (((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54)) <=> ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6486,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54))))),
% 37.75/24.18 inference(monotonicity,[status(thm)],[6485])).
% 37.75/24.18 tff(6487,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 37.75/24.18 inference(transitivity,[status(thm)],[6486, 6484])).
% 37.75/24.18 tff(6488,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6489,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6488, 6487])).
% 37.75/24.18 tff(6490,plain,
% 37.75/24.18 (v94(constB54) | (~v95(constB54)) | (~v104(constB54))),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6489, 444, 6450])).
% 37.75/24.18 tff(6491,plain,
% 37.75/24.18 (v94(constB54) | (~v104(constB54))),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6490, 6483])).
% 37.75/24.18 tff(6492,plain,
% 37.75/24.18 (~v104(constB54)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6491, 6457])).
% 37.75/24.18 tff(6493,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6494,plain,
% 37.75/24.18 (((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54)) <=> ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6495,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53))))),
% 37.75/24.18 inference(monotonicity,[status(thm)],[6494])).
% 37.75/24.18 tff(6496,plain,
% 37.75/24.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 37.75/24.18 inference(transitivity,[status(thm)],[6495, 6493])).
% 37.75/24.18 tff(6497,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6498,plain,
% 37.75/24.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 37.75/24.18 tff(6499,plain,
% 37.75/24.18 (v104(constB54) | (~v102(constB53))),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6498, 379, 6450])).
% 37.75/24.18 tff(6500,plain,
% 37.75/24.18 (~v102(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6499, 6492])).
% 37.75/24.18 tff(6501,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB53) | (~v106(constB53)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB53) | (~v106(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6502,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB53) | (~v106(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6503,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB53) | (~v106(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6502, 6501])).
% 37.75/24.18 tff(6504,plain,
% 37.75/24.18 (~v106(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6503, 362, 6500])).
% 37.75/24.18 tff(6505,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB53) | (~v26(constB53)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB53) | (~v26(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6506,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB53) | (~v26(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6507,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB53) | (~v26(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6506, 6505])).
% 37.75/24.18 tff(6508,plain,
% 37.75/24.18 (~v26(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6507, 753, 6500])).
% 37.75/24.18 tff(6509,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | v106(constB53) | (~v107(constB53)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6510,plain,
% 37.75/24.18 ((v26(constB53) | (~v107(constB53)) | v106(constB53)) <=> (v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6511,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | v106(constB53) | (~v107(constB53))))),
% 37.75/24.18 inference(monotonicity,[status(thm)],[6510])).
% 37.75/24.18 tff(6512,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 37.75/24.18 inference(transitivity,[status(thm)],[6511, 6509])).
% 37.75/24.18 tff(6513,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6514,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 37.75/24.18 tff(6515,plain,
% 37.75/24.18 (~v107(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6514, 350, 6508, 6504])).
% 37.75/24.18 tff(6516,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB53) | (~v108(constB53)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB53) | (~v108(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6517,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB53) | (~v108(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6518,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB53) | (~v108(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6517, 6516])).
% 37.75/24.18 tff(6519,plain,
% 37.75/24.18 (~v108(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6518, 336, 6515])).
% 37.75/24.18 tff(6520,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB53) | (~v109(constB53)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB53) | (~v109(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6521,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB53) | (~v109(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6522,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB53) | (~v109(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6521, 6520])).
% 37.75/24.18 tff(6523,plain,
% 37.75/24.18 (~v109(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6522, 325, 6519])).
% 37.75/24.18 tff(6524,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB53) | (~v110(constB53)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB53) | (~v110(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6525,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB53) | (~v110(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6526,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB53) | (~v110(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6525, 6524])).
% 37.75/24.18 tff(6527,plain,
% 37.75/24.18 (~v110(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6526, 314, 6523])).
% 37.75/24.18 tff(6528,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB53) | (~v111(constB53)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB53) | (~v111(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6529,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB53) | (~v111(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6530,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB53) | (~v111(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6529, 6528])).
% 37.75/24.18 tff(6531,plain,
% 37.75/24.18 (~v111(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6530, 303, 6527])).
% 37.75/24.18 tff(6532,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB53) | (~v112(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6533,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB53) | (~v112(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6534,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB53) | (~v112(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6533, 6532])).
% 37.75/24.18 tff(6535,plain,
% 37.75/24.18 (~v112(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6534, 292, 6531])).
% 37.75/24.18 tff(6536,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB53) | (~v113(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6537,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB53) | (~v113(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6538,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB53) | (~v113(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6537, 6536])).
% 37.75/24.18 tff(6539,plain,
% 37.75/24.18 (~v113(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6538, 281, 6535])).
% 37.75/24.18 tff(6540,plain,
% 37.75/24.18 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB53) | (~v145(constB53)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB53) | (~v145(constB53)))),
% 37.75/24.18 inference(rewrite,[status(thm)],[])).
% 37.75/24.18 tff(6541,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB53) | (~v145(constB53)))),
% 37.75/24.18 inference(quant_inst,[status(thm)],[])).
% 37.75/24.18 tff(6542,plain,
% 37.75/24.18 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB53) | (~v145(constB53))),
% 37.75/24.18 inference(modus_ponens,[status(thm)],[6541, 6540])).
% 37.75/24.18 tff(6543,plain,
% 37.75/24.18 (~v145(constB53)),
% 37.75/24.18 inference(unit_resolution,[status(thm)],[6542, 1367, 6535])).
% 37.75/24.18 tff(6544,assumption,(~v84(constB54, bitIndex2)), introduced(assumption)).
% 37.75/24.18 tff(6545,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex2))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6546,plain,
% 37.75/24.19 (((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex2)) | v94(constB54) | v84(constB54, bitIndex2)) <=> ((~v84(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex2))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6547,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex2)) | v94(constB54) | v84(constB54, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex2)))),
% 37.75/24.19 inference(monotonicity,[status(thm)],[6546])).
% 37.75/24.19 tff(6548,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex2)) | v94(constB54) | v84(constB54, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex2))),
% 37.75/24.19 inference(transitivity,[status(thm)],[6547, 6545])).
% 37.75/24.19 tff(6549,plain,
% 37.75/24.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex2)) | v94(constB54) | v84(constB54, bitIndex2))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6550,plain,
% 37.75/24.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB53, bitIndex2)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex2)),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6549, 6548])).
% 37.75/24.19 tff(6551,plain,
% 37.75/24.19 ((~v84(constB53, bitIndex2)) | v94(constB54) | v84(constB54, bitIndex2)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6550, 543, 6450])).
% 37.75/24.19 tff(6552,plain,
% 37.75/24.19 (~v84(constB53, bitIndex2)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6551, 6457, 6544])).
% 37.75/24.19 tff(6553,plain,
% 37.75/24.19 (~v84(constB53, bitIndex1)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6465, 6457, 6458])).
% 37.75/24.19 tff(6554,plain,
% 37.75/24.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB53, bitIndex0)) | v84(constB53, bitIndex1) | v84(constB53, bitIndex2) | v145(constB53))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB53, bitIndex0)) | v84(constB53, bitIndex1) | v84(constB53, bitIndex2) | v145(constB53))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6555,plain,
% 37.75/24.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB53, bitIndex0)) | v84(constB53, bitIndex1) | v84(constB53, bitIndex2) | v145(constB53))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6556,plain,
% 37.75/24.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB53, bitIndex0)) | v84(constB53, bitIndex1) | v84(constB53, bitIndex2) | v145(constB53)),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 37.75/24.19 tff(6557,plain,
% 37.75/24.19 ((~v84(constB53, bitIndex0)) | v145(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6556, 1356, 6553, 6552])).
% 37.75/24.19 tff(6558,plain,
% 37.75/24.19 (~v84(constB53, bitIndex0)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6557, 6543])).
% 37.75/24.19 tff(6559,plain,
% 37.75/24.19 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB53) | v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | v84(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB53) | v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | v84(constB53, bitIndex2))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6560,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB53) | v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | v84(constB53, bitIndex2))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6561,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB53) | v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | v84(constB53, bitIndex2)),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 37.75/24.19 tff(6562,plain,
% 37.75/24.19 (v113(constB53) | v84(constB53, bitIndex0)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6561, 270, 6553, 6552])).
% 37.75/24.19 tff(6563,plain,
% 37.75/24.19 ($false),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6562, 6558, 6539])).
% 37.75/24.19 tff(6564,plain,(v94(constB54) | v84(constB54, bitIndex1) | v84(constB54, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 37.75/24.19 tff(6565,plain,
% 37.75/24.19 (v84(constB54, bitIndex2)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6564, 6458, 6457])).
% 37.75/24.19 tff(6566,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex2)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6567,plain,
% 37.75/24.19 (((~nextState(constB53, constB54)) | v84(constB53, bitIndex2) | v94(constB54) | (~v84(constB54, bitIndex2))) <=> (v84(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex2)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6568,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v84(constB53, bitIndex2) | v94(constB54) | (~v84(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex2))))),
% 37.75/24.19 inference(monotonicity,[status(thm)],[6567])).
% 37.75/24.19 tff(6569,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v84(constB53, bitIndex2) | v94(constB54) | (~v84(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex2)))),
% 37.75/24.19 inference(transitivity,[status(thm)],[6568, 6566])).
% 37.75/24.19 tff(6570,plain,
% 37.75/24.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v84(constB53, bitIndex2) | v94(constB54) | (~v84(constB54, bitIndex2)))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6571,plain,
% 37.75/24.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB53, bitIndex2) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex2))),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 37.75/24.19 tff(6572,plain,
% 37.75/24.19 (v84(constB53, bitIndex2) | v94(constB54) | (~v84(constB54, bitIndex2))),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6571, 207, 6450])).
% 37.75/24.19 tff(6573,plain,
% 37.75/24.19 (v84(constB53, bitIndex2)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6572, 6565, 6457])).
% 37.75/24.19 tff(6574,plain,
% 37.75/24.19 (v106(constB53) | (~v107(constB53))),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6514, 350, 6442])).
% 37.75/24.19 tff(6575,plain,
% 37.75/24.19 (~v107(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6574, 6504])).
% 37.75/24.19 tff(6576,plain,
% 37.75/24.19 (~v108(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6518, 336, 6575])).
% 37.75/24.19 tff(6577,plain,
% 37.75/24.19 (~v109(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6522, 325, 6576])).
% 37.75/24.19 tff(6578,plain,
% 37.75/24.19 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB53) | (~v172(constB53)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB53) | (~v172(constB53)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6579,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB53) | (~v172(constB53)))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6580,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB53) | (~v172(constB53))),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 37.75/24.19 tff(6581,plain,
% 37.75/24.19 (~v172(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6580, 764, 6577])).
% 37.75/24.19 tff(6582,plain,
% 37.75/24.19 (v84(constB53, bitIndex0) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex2))),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6433, 710, 6581])).
% 37.75/24.19 tff(6583,plain,
% 37.75/24.19 ($false),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6582, 6573, 6466, 6456])).
% 37.75/24.19 tff(6584,plain,(v84(constB54, bitIndex1) | v84(constB53, bitIndex0) | v94(constB54)), inference(lemma,lemma(discharge,[]))).
% 37.75/24.19 tff(6585,plain,
% 37.75/24.19 (v84(constB54, bitIndex1)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6584, 6456, 6457])).
% 37.75/24.19 tff(6586,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex1)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6587,plain,
% 37.75/24.19 (((~nextState(constB53, constB54)) | v84(constB53, bitIndex1) | v94(constB54) | (~v84(constB54, bitIndex1))) <=> (v84(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex1)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6588,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v84(constB53, bitIndex1) | v94(constB54) | (~v84(constB54, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex1))))),
% 37.75/24.19 inference(monotonicity,[status(thm)],[6587])).
% 37.75/24.19 tff(6589,plain,
% 37.75/24.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v84(constB53, bitIndex1) | v94(constB54) | (~v84(constB54, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex1)))),
% 37.75/24.19 inference(transitivity,[status(thm)],[6588, 6586])).
% 37.75/24.19 tff(6590,plain,
% 37.75/24.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB53, constB54)) | v84(constB53, bitIndex1) | v94(constB54) | (~v84(constB54, bitIndex1)))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6591,plain,
% 37.75/24.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB53, bitIndex1) | (~nextState(constB53, constB54)) | v94(constB54) | (~v84(constB54, bitIndex1))),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6590, 6589])).
% 37.75/24.19 tff(6592,plain,
% 37.75/24.19 (v84(constB53, bitIndex1) | v94(constB54) | (~v84(constB54, bitIndex1))),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6591, 228, 6450])).
% 37.75/24.19 tff(6593,plain,
% 37.75/24.19 (v84(constB53, bitIndex1)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6592, 6585, 6457])).
% 37.75/24.19 tff(6594,plain,
% 37.75/24.19 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB53) | (~v119(constB53)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB53) | (~v119(constB53)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6595,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB53) | (~v119(constB53)))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6596,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB53) | (~v119(constB53))),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 37.75/24.19 tff(6597,plain,
% 37.75/24.19 (~v119(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6596, 997, 6575])).
% 37.75/24.19 tff(6598,plain,
% 37.75/24.19 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | (~v84(constB53, bitIndex2)) | v119(constB53))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | (~v84(constB53, bitIndex2)) | v119(constB53))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6599,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | (~v84(constB53, bitIndex2)) | v119(constB53))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6600,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | (~v84(constB53, bitIndex2)) | v119(constB53)),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 37.75/24.19 tff(6601,plain,
% 37.75/24.19 (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | (~v84(constB53, bitIndex2))),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6600, 986, 6597])).
% 37.75/24.19 tff(6602,plain,
% 37.75/24.19 (~v84(constB53, bitIndex2)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6601, 6593, 6456])).
% 37.75/24.19 tff(6603,plain,
% 37.75/24.19 (~v110(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6526, 314, 6577])).
% 37.75/24.19 tff(6604,plain,
% 37.75/24.19 (~v111(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6530, 303, 6603])).
% 37.75/24.19 tff(6605,plain,
% 37.75/24.19 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB53) | (~v115(constB53)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6606,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB53) | (~v115(constB53)))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6607,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB53) | (~v115(constB53))),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 37.75/24.19 tff(6608,plain,
% 37.75/24.19 (~v115(constB53)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6607, 1609, 6604])).
% 37.75/24.19 tff(6609,plain,
% 37.75/24.19 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6610,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6611,plain,
% 37.75/24.19 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53)),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 37.75/24.19 tff(6612,plain,
% 37.75/24.19 (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6611, 1598, 6608])).
% 37.75/24.19 tff(6613,plain,
% 37.75/24.19 ($false),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6612, 6602, 6593, 6456])).
% 37.75/24.19 tff(6614,plain,(v84(constB53, bitIndex0) | v94(constB54)), inference(lemma,lemma(discharge,[]))).
% 37.75/24.19 tff(6615,plain,
% 37.75/24.19 (v94(constB54)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6614, 6430])).
% 37.75/24.19 tff(6616,plain,
% 37.75/24.19 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6617,plain,
% 37.75/24.19 ((v84(constB54, bitIndex2) | (~v94(constB54)) | (~v123(constB54, bitIndex2))) <=> (v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54)))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6618,plain,
% 37.75/24.19 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v94(constB54)) | (~v123(constB54, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54))))),
% 37.75/24.19 inference(monotonicity,[status(thm)],[6617])).
% 37.75/24.19 tff(6619,plain,
% 37.75/24.19 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v94(constB54)) | (~v123(constB54, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54)))),
% 37.75/24.19 inference(transitivity,[status(thm)],[6618, 6616])).
% 37.75/24.19 tff(6620,plain,
% 37.75/24.19 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~v94(constB54)) | (~v123(constB54, bitIndex2)))),
% 37.75/24.19 inference(quant_inst,[status(thm)],[])).
% 37.75/24.19 tff(6621,plain,
% 37.75/24.19 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2)) | (~v94(constB54))),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6620, 6619])).
% 37.75/24.19 tff(6622,plain,
% 37.75/24.19 (v84(constB54, bitIndex2) | (~v123(constB54, bitIndex2))),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6621, 507, 6615])).
% 37.75/24.19 tff(6623,plain,
% 37.75/24.19 (v84(constB54, bitIndex2)),
% 37.75/24.19 inference(unit_resolution,[status(thm)],[6622, 6455])).
% 37.75/24.19 tff(6624,plain,
% 37.75/24.19 ((~v1(constB55)) <=> (~v1(constB55))),
% 37.75/24.19 inference(rewrite,[status(thm)],[])).
% 37.75/24.19 tff(6625,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 37.75/24.19 tff(6626,plain,
% 37.75/24.19 (~v1(constB55)),
% 37.75/24.19 inference(modus_ponens,[status(thm)],[6625, 6624])).
% 37.75/24.20 tff(6627,plain,
% 37.75/24.20 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6628,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 37.75/24.20 tff(6629,plain,
% 37.75/24.20 (nextState(constB54, constB55)),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 37.75/24.20 tff(6630,plain,
% 37.75/24.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6631,plain,
% 37.75/24.20 (((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6632,plain,
% 37.75/24.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55))))),
% 37.75/24.20 inference(monotonicity,[status(thm)],[6631])).
% 37.75/24.20 tff(6633,plain,
% 37.75/24.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 37.75/24.20 inference(transitivity,[status(thm)],[6632, 6630])).
% 37.75/24.20 tff(6634,plain,
% 37.75/24.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))),
% 37.75/24.20 inference(quant_inst,[status(thm)],[])).
% 37.75/24.20 tff(6635,plain,
% 37.75/24.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55))),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6634, 6633])).
% 37.75/24.20 tff(6636,plain,
% 37.75/24.20 (~v95(constB55)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6635, 175, 6629, 6626])).
% 37.75/24.20 tff(6637,plain,
% 37.75/24.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6638,plain,
% 37.75/24.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))),
% 37.75/24.20 inference(quant_inst,[status(thm)],[])).
% 37.75/24.20 tff(6639,plain,
% 37.75/24.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55))),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 37.75/24.20 tff(6640,plain,
% 37.75/24.20 (v95(constB55) | (~v94(constB55))),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6639, 192, 6629])).
% 37.75/24.20 tff(6641,plain,
% 37.75/24.20 (~v94(constB55)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6640, 6636])).
% 37.75/24.20 tff(6642,plain,
% 37.75/24.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6643,plain,
% 37.75/24.20 (((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2)) <=> ((~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6644,plain,
% 37.75/24.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2)))),
% 37.75/24.20 inference(monotonicity,[status(thm)],[6643])).
% 37.75/24.20 tff(6645,plain,
% 37.75/24.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2))),
% 37.75/24.20 inference(transitivity,[status(thm)],[6644, 6642])).
% 37.75/24.20 tff(6646,plain,
% 37.75/24.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2))),
% 37.75/24.20 inference(quant_inst,[status(thm)],[])).
% 37.75/24.20 tff(6647,plain,
% 37.75/24.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex2)),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6646, 6645])).
% 37.75/24.20 tff(6648,plain,
% 37.75/24.20 ((~v84(constB54, bitIndex2)) | v94(constB55) | v84(constB55, bitIndex2)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6647, 543, 6629])).
% 37.75/24.20 tff(6649,plain,
% 37.75/24.20 ((~v84(constB54, bitIndex2)) | v84(constB55, bitIndex2)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6648, 6641])).
% 37.75/24.20 tff(6650,plain,
% 37.75/24.20 (v84(constB55, bitIndex2)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6649, 6623])).
% 37.75/24.20 tff(6651,plain,
% 37.75/24.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB55, bitIndex2)) | (~v116(constB55)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB55, bitIndex2)) | (~v116(constB55)))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6652,plain,
% 37.75/24.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB55, bitIndex2)) | (~v116(constB55)))),
% 37.75/24.20 inference(quant_inst,[status(thm)],[])).
% 37.75/24.20 tff(6653,plain,
% 37.75/24.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB55, bitIndex2)) | (~v116(constB55))),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6652, 6651])).
% 37.75/24.20 tff(6654,plain,
% 37.75/24.20 (~v116(constB55)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6653, 1069, 6650])).
% 37.75/24.20 tff(6655,plain,
% 37.75/24.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB55, bitIndex2)) | (~v115(constB55)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB55, bitIndex2)) | (~v115(constB55)))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6656,plain,
% 37.75/24.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB55, bitIndex2)) | (~v115(constB55)))),
% 37.75/24.20 inference(quant_inst,[status(thm)],[])).
% 37.75/24.20 tff(6657,plain,
% 37.75/24.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB55, bitIndex2)) | (~v115(constB55))),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6656, 6655])).
% 37.75/24.20 tff(6658,plain,
% 37.75/24.20 (~v115(constB55)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6657, 1058, 6650])).
% 37.75/24.20 tff(6659,plain,
% 37.75/24.20 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB53)) | v124(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB53)) | v124(constB53, bitIndex1))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6660,plain,
% 37.75/24.20 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB53)) | v124(constB53, bitIndex1))),
% 37.75/24.20 inference(quant_inst,[status(thm)],[])).
% 37.75/24.20 tff(6661,plain,
% 37.75/24.20 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB53)) | v124(constB53, bitIndex1)),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 37.75/24.20 tff(6662,plain,
% 37.75/24.20 (v124(constB53, bitIndex1)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6661, 861, 6434])).
% 37.75/24.20 tff(6663,plain,
% 37.75/24.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6664,plain,
% 37.75/24.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))),
% 37.75/24.20 inference(quant_inst,[status(thm)],[])).
% 37.75/24.20 tff(6665,plain,
% 37.75/24.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1)),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6664, 6663])).
% 37.75/24.20 tff(6666,plain,
% 37.75/24.20 ((~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6665, 875, 6442])).
% 37.75/24.20 tff(6667,plain,
% 37.75/24.20 (v121(constB53, bitIndex1)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6666, 6662])).
% 37.75/24.20 tff(6668,plain,
% 37.75/24.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6669,plain,
% 37.75/24.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))),
% 37.75/24.20 inference(quant_inst,[status(thm)],[])).
% 37.75/24.20 tff(6670,plain,
% 37.75/24.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1)),
% 37.75/24.20 inference(modus_ponens,[status(thm)],[6669, 6668])).
% 37.75/24.20 tff(6671,plain,
% 37.75/24.20 ((~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6670, 890, 6450])).
% 37.75/24.20 tff(6672,plain,
% 37.75/24.20 (v123(constB54, bitIndex1)),
% 37.75/24.20 inference(unit_resolution,[status(thm)],[6671, 6667])).
% 37.75/24.20 tff(6673,plain,
% 37.75/24.20 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6674,plain,
% 37.75/24.20 ((v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1))) <=> (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 37.75/24.20 inference(rewrite,[status(thm)],[])).
% 37.75/24.20 tff(6675,plain,
% 37.75/24.20 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54))))),
% 37.75/24.21 inference(monotonicity,[status(thm)],[6674])).
% 37.75/24.21 tff(6676,plain,
% 37.75/24.21 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 37.75/24.21 inference(transitivity,[status(thm)],[6675, 6673])).
% 37.75/24.21 tff(6677,plain,
% 37.75/24.21 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6678,plain,
% 37.75/24.21 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54))),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6677, 6676])).
% 37.75/24.21 tff(6679,plain,
% 37.75/24.21 (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1))),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6678, 905, 6615])).
% 37.75/24.21 tff(6680,plain,
% 37.75/24.21 (v84(constB54, bitIndex1)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6679, 6672])).
% 37.75/24.21 tff(6681,plain,
% 37.75/24.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6682,plain,
% 37.75/24.21 (((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1)) <=> ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6683,plain,
% 37.75/24.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1)))),
% 37.75/24.21 inference(monotonicity,[status(thm)],[6682])).
% 37.75/24.21 tff(6684,plain,
% 37.75/24.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 37.75/24.21 inference(transitivity,[status(thm)],[6683, 6681])).
% 37.75/24.21 tff(6685,plain,
% 37.75/24.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6686,plain,
% 37.75/24.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1)),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 37.75/24.21 tff(6687,plain,
% 37.75/24.21 ((~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6686, 923, 6629])).
% 37.75/24.21 tff(6688,plain,
% 37.75/24.21 ((~v84(constB54, bitIndex1)) | v84(constB55, bitIndex1)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6687, 6641])).
% 37.75/24.21 tff(6689,plain,
% 37.75/24.21 (v84(constB55, bitIndex1)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6688, 6680])).
% 37.75/24.21 tff(6690,plain,
% 37.75/24.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB55, bitIndex1)) | (~v172(constB55)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB55, bitIndex1)) | (~v172(constB55)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6691,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB55, bitIndex1)) | (~v172(constB55)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6692,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB55, bitIndex1)) | (~v172(constB55))),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6691, 6690])).
% 37.75/24.21 tff(6693,plain,
% 37.75/24.21 (~v172(constB55)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6692, 1105, 6689])).
% 37.75/24.21 tff(6694,plain,
% 37.75/24.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB55, bitIndex1)) | (~v118(constB55)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB55, bitIndex1)) | (~v118(constB55)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6695,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB55, bitIndex1)) | (~v118(constB55)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6696,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB55, bitIndex1)) | (~v118(constB55))),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6695, 6694])).
% 37.75/24.21 tff(6697,plain,
% 37.75/24.21 (~v118(constB55)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6696, 1094, 6689])).
% 37.75/24.21 tff(6698,plain,
% 37.75/24.21 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB55)) | (~v84(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB55)) | (~v84(constB55, bitIndex1)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6699,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB55)) | (~v84(constB55, bitIndex1)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6700,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB55)) | (~v84(constB55, bitIndex1))),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6699, 6698])).
% 37.75/24.21 tff(6701,plain,
% 37.75/24.21 (~v113(constB55)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6700, 1083, 6689])).
% 37.75/24.21 tff(6702,plain,
% 37.75/24.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB55, bitIndex1)) | (~v145(constB55)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB55, bitIndex1)) | (~v145(constB55)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6703,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB55, bitIndex1)) | (~v145(constB55)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6704,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB55, bitIndex1)) | (~v145(constB55))),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6703, 6702])).
% 37.75/24.21 tff(6705,plain,
% 37.75/24.21 (~v145(constB55)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6704, 1116, 6689])).
% 37.75/24.21 tff(6706,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB55) | (~v124(constB55, bitIndex1)) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB55) | (~v124(constB55, bitIndex1)) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6707,plain,
% 37.75/24.21 ((v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex1))) <=> (v145(constB55) | (~v124(constB55, bitIndex1)) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6708,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB55) | (~v124(constB55, bitIndex1)) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55)))),
% 37.75/24.21 inference(monotonicity,[status(thm)],[6707])).
% 37.75/24.21 tff(6709,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB55) | (~v124(constB55, bitIndex1)) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.75/24.21 inference(transitivity,[status(thm)],[6708, 6706])).
% 37.75/24.21 tff(6710,plain,
% 37.75/24.21 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex1)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6711,plain,
% 37.75/24.21 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB55) | (~v124(constB55, bitIndex1)) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55)),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6710, 6709])).
% 37.75/24.21 tff(6712,plain,
% 37.75/24.21 (~v124(constB55, bitIndex1)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6711, 1225, 6705, 6701, 6697, 6693, 6658, 6654])).
% 37.75/24.21 tff(6713,assumption,(v26(constB55)), introduced(assumption)).
% 37.75/24.21 tff(6714,plain,
% 37.75/24.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6715,plain,
% 37.75/24.21 ($false),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6714, 120, 6713])).
% 37.75/24.21 tff(6716,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 37.75/24.21 tff(6717,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6718,plain,
% 37.75/24.21 ((v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1))) <=> ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6719,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1)))),
% 37.75/24.21 inference(monotonicity,[status(thm)],[6718])).
% 37.75/24.21 tff(6720,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 37.75/24.21 inference(transitivity,[status(thm)],[6719, 6717])).
% 37.75/24.21 tff(6721,plain,
% 37.75/24.21 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6722,plain,
% 37.75/24.21 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1)),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6721, 6720])).
% 37.75/24.21 tff(6723,plain,
% 37.75/24.21 ((~v121(constB55, bitIndex1)) | v124(constB55, bitIndex1)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6722, 576, 6716])).
% 37.75/24.21 tff(6724,plain,
% 37.75/24.21 (~v121(constB55, bitIndex1)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6723, 6712])).
% 37.75/24.21 tff(6725,plain,
% 37.75/24.21 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6726,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 37.75/24.21 tff(6727,plain,
% 37.75/24.21 (nextState(constB55, constB56)),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6726, 6725])).
% 37.75/24.21 tff(6728,plain,
% 37.75/24.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6729,plain,
% 37.75/24.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6730,plain,
% 37.75/24.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1))),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 37.75/24.21 tff(6731,plain,
% 37.75/24.21 (v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1))),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6730, 594, 6727])).
% 37.75/24.21 tff(6732,plain,
% 37.75/24.21 (~v123(constB56, bitIndex1)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6731, 6724])).
% 37.75/24.21 tff(6733,plain,
% 37.75/24.21 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB53)) | (~v124(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB53)) | (~v124(constB53, bitIndex0)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6734,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB53)) | (~v124(constB53, bitIndex0)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6735,plain,
% 37.75/24.21 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB53)) | (~v124(constB53, bitIndex0))),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 37.75/24.21 tff(6736,plain,
% 37.75/24.21 (~v124(constB53, bitIndex0)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6735, 942, 6434])).
% 37.75/24.21 tff(6737,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6738,plain,
% 37.75/24.21 ((v26(constB53) | v124(constB53, bitIndex0) | (~v121(constB53, bitIndex0))) <=> ((~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6739,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB53) | v124(constB53, bitIndex0) | (~v121(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0)))),
% 37.75/24.21 inference(monotonicity,[status(thm)],[6738])).
% 37.75/24.21 tff(6740,plain,
% 37.75/24.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB53) | v124(constB53, bitIndex0) | (~v121(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0))),
% 37.75/24.21 inference(transitivity,[status(thm)],[6739, 6737])).
% 37.75/24.21 tff(6741,plain,
% 37.75/24.21 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB53) | v124(constB53, bitIndex0) | (~v121(constB53, bitIndex0)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6742,plain,
% 37.75/24.21 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB53, bitIndex0)) | v26(constB53) | v124(constB53, bitIndex0)),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 37.75/24.21 tff(6743,plain,
% 37.75/24.21 ((~v121(constB53, bitIndex0)) | v124(constB53, bitIndex0)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6742, 650, 6442])).
% 37.75/24.21 tff(6744,plain,
% 37.75/24.21 (~v121(constB53, bitIndex0)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6743, 6736])).
% 37.75/24.21 tff(6745,plain,
% 37.75/24.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6746,plain,
% 37.75/24.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0)))),
% 37.75/24.21 inference(quant_inst,[status(thm)],[])).
% 37.75/24.21 tff(6747,plain,
% 37.75/24.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0))),
% 37.75/24.21 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 37.75/24.21 tff(6748,plain,
% 37.75/24.21 (v121(constB53, bitIndex0) | (~v123(constB54, bitIndex0))),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6747, 668, 6450])).
% 37.75/24.21 tff(6749,plain,
% 37.75/24.21 (~v123(constB54, bitIndex0)),
% 37.75/24.21 inference(unit_resolution,[status(thm)],[6748, 6744])).
% 37.75/24.21 tff(6750,plain,
% 37.75/24.21 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6751,plain,
% 37.75/24.21 (((~v84(constB54, bitIndex0)) | (~v94(constB54)) | v123(constB54, bitIndex0)) <=> ((~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54)))),
% 37.75/24.21 inference(rewrite,[status(thm)],[])).
% 37.75/24.21 tff(6752,plain,
% 37.75/24.21 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~v94(constB54)) | v123(constB54, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54))))),
% 37.83/24.21 inference(monotonicity,[status(thm)],[6751])).
% 37.83/24.21 tff(6753,plain,
% 37.83/24.21 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~v94(constB54)) | v123(constB54, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54)))),
% 37.83/24.21 inference(transitivity,[status(thm)],[6752, 6750])).
% 37.83/24.21 tff(6754,plain,
% 37.83/24.21 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~v94(constB54)) | v123(constB54, bitIndex0))),
% 37.83/24.21 inference(quant_inst,[status(thm)],[])).
% 37.83/24.21 tff(6755,plain,
% 37.83/24.21 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0) | (~v94(constB54))),
% 37.83/24.21 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 37.83/24.21 tff(6756,plain,
% 37.83/24.21 ((~v84(constB54, bitIndex0)) | v123(constB54, bitIndex0)),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6755, 683, 6615])).
% 37.83/24.21 tff(6757,plain,
% 37.83/24.21 (~v84(constB54, bitIndex0)),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6756, 6749])).
% 37.83/24.21 tff(6758,plain,
% 37.83/24.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0)))),
% 37.83/24.21 inference(rewrite,[status(thm)],[])).
% 37.83/24.21 tff(6759,plain,
% 37.83/24.21 (((~nextState(constB54, constB55)) | v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0))) <=> (v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0)))),
% 37.83/24.21 inference(rewrite,[status(thm)],[])).
% 37.83/24.21 tff(6760,plain,
% 37.83/24.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0))))),
% 37.83/24.21 inference(monotonicity,[status(thm)],[6759])).
% 37.83/24.21 tff(6761,plain,
% 37.83/24.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0)))),
% 37.83/24.21 inference(transitivity,[status(thm)],[6760, 6758])).
% 37.83/24.21 tff(6762,plain,
% 37.83/24.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0)))),
% 37.83/24.21 inference(quant_inst,[status(thm)],[])).
% 37.83/24.21 tff(6763,plain,
% 37.83/24.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex0))),
% 37.83/24.21 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 37.83/24.21 tff(6764,plain,
% 37.83/24.21 (v84(constB54, bitIndex0) | v94(constB55) | (~v84(constB55, bitIndex0))),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6763, 249, 6629])).
% 37.83/24.21 tff(6765,plain,
% 37.83/24.21 (v84(constB54, bitIndex0) | (~v84(constB55, bitIndex0))),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6764, 6641])).
% 37.83/24.21 tff(6766,plain,
% 37.83/24.21 (~v84(constB55, bitIndex0)),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6765, 6757])).
% 37.83/24.21 tff(6767,assumption,(~v107(constB55)), introduced(assumption)).
% 37.83/24.21 tff(6768,plain,
% 37.83/24.21 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB55) | (~v119(constB55)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB55) | (~v119(constB55)))),
% 37.83/24.21 inference(rewrite,[status(thm)],[])).
% 37.83/24.21 tff(6769,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB55) | (~v119(constB55)))),
% 37.83/24.21 inference(quant_inst,[status(thm)],[])).
% 37.83/24.21 tff(6770,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB55) | (~v119(constB55))),
% 37.83/24.21 inference(modus_ponens,[status(thm)],[6769, 6768])).
% 37.83/24.21 tff(6771,plain,
% 37.83/24.21 (~v119(constB55)),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6770, 997, 6767])).
% 37.83/24.21 tff(6772,assumption,(~v84(constB55, bitIndex0)), introduced(assumption)).
% 37.83/24.21 tff(6773,plain,
% 37.83/24.21 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB55, bitIndex0) | (~v118(constB55)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB55, bitIndex0) | (~v118(constB55)))),
% 37.83/24.21 inference(rewrite,[status(thm)],[])).
% 37.83/24.21 tff(6774,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB55, bitIndex0) | (~v118(constB55)))),
% 37.83/24.21 inference(quant_inst,[status(thm)],[])).
% 37.83/24.21 tff(6775,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB55, bitIndex0) | (~v118(constB55))),
% 37.83/24.21 inference(modus_ponens,[status(thm)],[6774, 6773])).
% 37.83/24.21 tff(6776,plain,
% 37.83/24.21 (~v118(constB55)),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6775, 2346, 6772])).
% 37.83/24.21 tff(6777,plain,
% 37.83/24.21 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB55, bitIndex0) | (~v145(constB55)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB55, bitIndex0) | (~v145(constB55)))),
% 37.83/24.21 inference(rewrite,[status(thm)],[])).
% 37.83/24.21 tff(6778,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB55, bitIndex0) | (~v145(constB55)))),
% 37.83/24.21 inference(quant_inst,[status(thm)],[])).
% 37.83/24.21 tff(6779,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB55, bitIndex0) | (~v145(constB55))),
% 37.83/24.21 inference(modus_ponens,[status(thm)],[6778, 6777])).
% 37.83/24.21 tff(6780,plain,
% 37.83/24.21 (~v145(constB55)),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6779, 2357, 6772])).
% 37.83/24.21 tff(6781,plain,
% 37.83/24.21 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB55) | (~v108(constB55)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB55) | (~v108(constB55)))),
% 37.83/24.21 inference(rewrite,[status(thm)],[])).
% 37.83/24.21 tff(6782,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB55) | (~v108(constB55)))),
% 37.83/24.21 inference(quant_inst,[status(thm)],[])).
% 37.83/24.21 tff(6783,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB55) | (~v108(constB55))),
% 37.83/24.21 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 37.83/24.21 tff(6784,plain,
% 37.83/24.21 (~v108(constB55)),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6783, 336, 6767])).
% 37.83/24.21 tff(6785,plain,
% 37.83/24.21 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB55) | (~v109(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB55) | (~v109(constB55)))),
% 37.83/24.21 inference(rewrite,[status(thm)],[])).
% 37.83/24.21 tff(6786,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB55) | (~v109(constB55)))),
% 37.83/24.21 inference(quant_inst,[status(thm)],[])).
% 37.83/24.21 tff(6787,plain,
% 37.83/24.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB55) | (~v109(constB55))),
% 37.83/24.21 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 37.83/24.21 tff(6788,plain,
% 37.83/24.21 (~v109(constB55)),
% 37.83/24.21 inference(unit_resolution,[status(thm)],[6787, 325, 6784])).
% 37.83/24.21 tff(6789,plain,
% 37.83/24.21 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB55) | (~v172(constB55)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB55) | (~v172(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6790,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB55) | (~v172(constB55)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6791,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB55) | (~v172(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 37.83/24.22 tff(6792,plain,
% 37.83/24.22 (~v172(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6791, 764, 6788])).
% 37.83/24.22 tff(6793,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB55) | (~v110(constB55)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB55) | (~v110(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6794,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB55) | (~v110(constB55)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6795,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB55) | (~v110(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 37.83/24.22 tff(6796,plain,
% 37.83/24.22 (~v110(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6795, 314, 6788])).
% 37.83/24.22 tff(6797,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB55) | (~v111(constB55)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB55) | (~v111(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6798,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB55) | (~v111(constB55)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6799,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB55) | (~v111(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 37.83/24.22 tff(6800,plain,
% 37.83/24.22 (~v111(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6799, 303, 6796])).
% 37.83/24.22 tff(6801,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB55) | (~v112(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6802,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB55) | (~v112(constB55)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6803,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB55) | (~v112(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 37.83/24.22 tff(6804,plain,
% 37.83/24.22 (~v112(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6803, 292, 6800])).
% 37.83/24.22 tff(6805,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB55) | (~v113(constB55)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB55) | (~v113(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6806,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB55) | (~v113(constB55)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6807,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB55) | (~v113(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 37.83/24.22 tff(6808,plain,
% 37.83/24.22 (~v113(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6807, 281, 6804])).
% 37.83/24.22 tff(6809,assumption,(~v84(constB55, bitIndex1)), introduced(assumption)).
% 37.83/24.22 tff(6810,assumption,(~v113(constB55)), introduced(assumption)).
% 37.83/24.22 tff(6811,assumption,(~v145(constB55)), introduced(assumption)).
% 37.83/24.22 tff(6812,assumption,(~v84(constB55, bitIndex2)), introduced(assumption)).
% 37.83/24.22 tff(6813,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB55) | v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB55) | v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6814,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB55) | v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6815,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB55) | v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 37.83/24.22 tff(6816,plain,
% 37.83/24.22 (v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6815, 270, 6810])).
% 37.83/24.22 tff(6817,plain,
% 37.83/24.22 (v84(constB55, bitIndex0)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6816, 6812, 6809])).
% 37.83/24.22 tff(6818,plain,
% 37.83/24.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2) | v145(constB55))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2) | v145(constB55))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6819,plain,
% 37.83/24.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2) | v145(constB55))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6820,plain,
% 37.83/24.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2) | v145(constB55)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 37.83/24.22 tff(6821,plain,
% 37.83/24.22 ((~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | v84(constB55, bitIndex2)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6820, 1356, 6811])).
% 37.83/24.22 tff(6822,plain,
% 37.83/24.22 ($false),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6821, 6817, 6812, 6809])).
% 37.83/24.22 tff(6823,plain,(v84(constB55, bitIndex2) | v84(constB55, bitIndex1) | v145(constB55) | v113(constB55)), inference(lemma,lemma(discharge,[]))).
% 37.83/24.22 tff(6824,plain,
% 37.83/24.22 (v84(constB55, bitIndex2)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6823, 6809, 6811, 6810])).
% 37.83/24.22 tff(6825,assumption,(~v172(constB55)), introduced(assumption)).
% 37.83/24.22 tff(6826,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2)) | v172(constB55))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2)) | v172(constB55))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6827,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2)) | v172(constB55))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6828,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2)) | v172(constB55)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6827, 6826])).
% 37.83/24.22 tff(6829,plain,
% 37.83/24.22 (v84(constB55, bitIndex0) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2))),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6828, 710, 6825])).
% 37.83/24.22 tff(6830,plain,
% 37.83/24.22 (v84(constB55, bitIndex0)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6829, 6824, 6809])).
% 37.83/24.22 tff(6831,assumption,(~v118(constB55)), introduced(assumption)).
% 37.83/24.22 tff(6832,plain,
% 37.83/24.22 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)))),
% 37.83/24.22 inference(bind,[status(th)],[])).
% 37.83/24.22 tff(6833,plain,
% 37.83/24.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 37.83/24.22 inference(quant_intro,[status(thm)],[6832])).
% 37.83/24.22 tff(6834,plain,
% 37.83/24.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6835,plain,
% 37.83/24.22 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))), ((((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> (((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) | v84(VarCurr, bitIndex1)))), rewrite((((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))), ((((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))))),
% 37.83/24.22 inference(bind,[status(th)],[])).
% 37.83/24.22 tff(6836,plain,
% 37.83/24.22 (![VarCurr: $i] : (((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 37.83/24.22 inference(quant_intro,[status(thm)],[6835])).
% 37.83/24.22 tff(6837,axiom,(![VarCurr: $i] : (((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 37.83/24.22 tff(6838,plain,
% 37.83/24.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 37.83/24.22 tff(6839,plain,
% 37.83/24.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6838, 6834])).
% 37.83/24.22 tff(6840,plain,(
% 37.83/24.22 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 37.83/24.22 inference(skolemize,[status(sab)],[6839])).
% 37.83/24.22 tff(6841,plain,
% 37.83/24.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6840, 6833])).
% 37.83/24.22 tff(6842,plain,
% 37.83/24.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2)) | v118(constB55))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2)) | v118(constB55))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6843,plain,
% 37.83/24.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2)) | v118(constB55))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6844,plain,
% 37.83/24.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2)) | v118(constB55)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 37.83/24.22 tff(6845,plain,
% 37.83/24.22 ((~v84(constB55, bitIndex0)) | v84(constB55, bitIndex1) | (~v84(constB55, bitIndex2))),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6844, 6841, 6831])).
% 37.83/24.22 tff(6846,plain,
% 37.83/24.22 ($false),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6845, 6830, 6824, 6809])).
% 37.83/24.22 tff(6847,plain,(v84(constB55, bitIndex1) | v118(constB55) | v172(constB55) | v145(constB55) | v113(constB55)), inference(lemma,lemma(discharge,[]))).
% 37.83/24.22 tff(6848,plain,
% 37.83/24.22 (v84(constB55, bitIndex1)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6847, 6808, 6792, 6780, 6776])).
% 37.83/24.22 tff(6849,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB55) | (~v115(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6850,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB55) | (~v115(constB55)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6851,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB55) | (~v115(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 37.83/24.22 tff(6852,plain,
% 37.83/24.22 (~v115(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6851, 1609, 6800])).
% 37.83/24.22 tff(6853,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB55, bitIndex0) | (~v116(constB55)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB55, bitIndex0) | (~v116(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6854,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB55, bitIndex0) | (~v116(constB55)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6855,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB55, bitIndex0) | (~v116(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6854, 6853])).
% 37.83/24.22 tff(6856,plain,
% 37.83/24.22 (~v116(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6855, 2335, 6772])).
% 37.83/24.22 tff(6857,assumption,(v84(constB55, bitIndex1)), introduced(assumption)).
% 37.83/24.22 tff(6858,assumption,(~v116(constB55)), introduced(assumption)).
% 37.83/24.22 tff(6859,plain,
% 37.83/24.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6860,plain,
% 37.83/24.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6861,plain,
% 37.83/24.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6860, 6859])).
% 37.83/24.22 tff(6862,plain,
% 37.83/24.22 ((~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6861, 1832, 6858])).
% 37.83/24.22 tff(6863,plain,
% 37.83/24.22 (~v84(constB55, bitIndex0)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6862, 6812, 6857])).
% 37.83/24.22 tff(6864,assumption,(~v115(constB55)), introduced(assumption)).
% 37.83/24.22 tff(6865,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v115(constB55))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v115(constB55))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6866,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v115(constB55))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6867,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v115(constB55)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6866, 6865])).
% 37.83/24.22 tff(6868,plain,
% 37.83/24.22 (v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6867, 1598, 6864])).
% 37.83/24.22 tff(6869,plain,
% 37.83/24.22 ($false),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6868, 6863, 6812, 6857])).
% 37.83/24.22 tff(6870,plain,(v84(constB55, bitIndex2) | (~v84(constB55, bitIndex1)) | v115(constB55) | v116(constB55)), inference(lemma,lemma(discharge,[]))).
% 37.83/24.22 tff(6871,plain,
% 37.83/24.22 (v84(constB55, bitIndex2)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6870, 6848, 6856, 6852])).
% 37.83/24.22 tff(6872,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6873,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6874,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB55, bitIndex0) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 37.83/24.22 tff(6875,plain,
% 37.83/24.22 ((~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex2)) | v119(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6874, 986, 6772])).
% 37.83/24.22 tff(6876,plain,
% 37.83/24.22 ($false),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6875, 6871, 6848, 6771])).
% 37.83/24.22 tff(6877,plain,(v107(constB55) | v84(constB55, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 37.83/24.22 tff(6878,plain,
% 37.83/24.22 (v107(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6877, 6766])).
% 37.83/24.22 tff(6879,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | v106(constB55) | (~v107(constB55)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | v106(constB55) | (~v107(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6880,plain,
% 37.83/24.22 ((v26(constB55) | (~v107(constB55)) | v106(constB55)) <=> (v26(constB55) | v106(constB55) | (~v107(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6881,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | v106(constB55) | (~v107(constB55))))),
% 37.83/24.22 inference(monotonicity,[status(thm)],[6880])).
% 37.83/24.22 tff(6882,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | v106(constB55) | (~v107(constB55)))),
% 37.83/24.22 inference(transitivity,[status(thm)],[6881, 6879])).
% 37.83/24.22 tff(6883,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6884,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | v106(constB55) | (~v107(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 37.83/24.22 tff(6885,plain,
% 37.83/24.22 (v106(constB55) | (~v107(constB55))),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6884, 350, 6716])).
% 37.83/24.22 tff(6886,plain,
% 37.83/24.22 (v106(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6885, 6878])).
% 37.83/24.22 tff(6887,plain,
% 37.83/24.22 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB55) | (~v106(constB55)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB55) | (~v106(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6888,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB55) | (~v106(constB55)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6889,plain,
% 37.83/24.22 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB55) | (~v106(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6888, 6887])).
% 37.83/24.22 tff(6890,plain,
% 37.83/24.22 (v102(constB55)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6889, 362, 6886])).
% 37.83/24.22 tff(6891,plain,
% 37.83/24.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6892,plain,
% 37.83/24.22 (((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56)) <=> ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6893,plain,
% 37.83/24.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55))))),
% 37.83/24.22 inference(monotonicity,[status(thm)],[6892])).
% 37.83/24.22 tff(6894,plain,
% 37.83/24.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 37.83/24.22 inference(transitivity,[status(thm)],[6893, 6891])).
% 37.83/24.22 tff(6895,plain,
% 37.83/24.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6896,plain,
% 37.83/24.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6895, 6894])).
% 37.83/24.22 tff(6897,plain,
% 37.83/24.22 (v104(constB56) | (~v102(constB55))),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6896, 379, 6727])).
% 37.83/24.22 tff(6898,plain,
% 37.83/24.22 (v104(constB56)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6897, 6890])).
% 37.83/24.22 tff(6899,plain,
% 37.83/24.22 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6900,plain,
% 37.83/24.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6901,plain,
% 37.83/24.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6900, 6899])).
% 37.83/24.22 tff(6902,plain,
% 37.83/24.22 (~v98(constB56)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6901, 397, 6727, 6626])).
% 37.83/24.22 tff(6903,plain,
% 37.83/24.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6904,plain,
% 37.83/24.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6905,plain,
% 37.83/24.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB55, constB56)) | v96(constB56) | v98(constB56)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6904, 6903])).
% 37.83/24.22 tff(6906,plain,
% 37.83/24.22 (v96(constB56) | v98(constB56)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6905, 411, 6727])).
% 37.83/24.22 tff(6907,plain,
% 37.83/24.22 (v96(constB56)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6906, 6902])).
% 37.83/24.22 tff(6908,plain,
% 37.83/24.22 (v1(constB56) <=> v1(constB56)),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6909,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 37.83/24.22 tff(6910,plain,
% 37.83/24.22 (v1(constB56)),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 37.83/24.22 tff(6911,plain,
% 37.83/24.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6912,plain,
% 37.83/24.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))),
% 37.83/24.22 inference(quant_inst,[status(thm)],[])).
% 37.83/24.22 tff(6913,plain,
% 37.83/24.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56))),
% 37.83/24.22 inference(modus_ponens,[status(thm)],[6912, 6911])).
% 37.83/24.22 tff(6914,plain,
% 37.83/24.22 (v95(constB56) | (~v96(constB56))),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6913, 429, 6727, 6910])).
% 37.83/24.22 tff(6915,plain,
% 37.83/24.22 (v95(constB56)),
% 37.83/24.22 inference(unit_resolution,[status(thm)],[6914, 6907])).
% 37.83/24.22 tff(6916,plain,
% 37.83/24.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6917,plain,
% 37.83/24.22 (((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56)) <=> ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 37.83/24.22 inference(rewrite,[status(thm)],[])).
% 37.83/24.22 tff(6918,plain,
% 37.83/24.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56))))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6917])).
% 37.83/24.23 tff(6919,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 37.83/24.23 inference(transitivity,[status(thm)],[6918, 6916])).
% 37.83/24.23 tff(6920,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6921,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56))),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6920, 6919])).
% 37.83/24.23 tff(6922,plain,
% 37.83/24.23 (v94(constB56) | (~v95(constB56)) | (~v104(constB56))),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6921, 444, 6727])).
% 37.83/24.23 tff(6923,plain,
% 37.83/24.23 (v94(constB56) | (~v104(constB56))),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6922, 6915])).
% 37.83/24.23 tff(6924,plain,
% 37.83/24.23 (v94(constB56)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6923, 6898])).
% 37.83/24.23 tff(6925,plain,
% 37.83/24.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6926,plain,
% 37.83/24.23 (((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1)) <=> ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6927,plain,
% 37.83/24.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56))))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6926])).
% 37.83/24.23 tff(6928,plain,
% 37.83/24.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 37.83/24.23 inference(transitivity,[status(thm)],[6927, 6925])).
% 37.83/24.23 tff(6929,plain,
% 37.83/24.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6930,plain,
% 37.83/24.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56))),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 37.83/24.23 tff(6931,plain,
% 37.83/24.23 ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6930, 609, 6924])).
% 37.83/24.23 tff(6932,plain,
% 37.83/24.23 (~v84(constB56, bitIndex1)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6931, 6732])).
% 37.83/24.23 tff(6933,plain,
% 37.83/24.23 ((~v1(constB57)) <=> (~v1(constB57))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6934,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 37.83/24.23 tff(6935,plain,
% 37.83/24.23 (~v1(constB57)),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 37.83/24.23 tff(6936,plain,
% 37.83/24.23 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6937,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 37.83/24.23 tff(6938,plain,
% 37.83/24.23 (nextState(constB56, constB57)),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6937, 6936])).
% 37.83/24.23 tff(6939,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6940,plain,
% 37.83/24.23 (((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6941,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57))))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6940])).
% 37.83/24.23 tff(6942,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 37.83/24.23 inference(transitivity,[status(thm)],[6941, 6939])).
% 37.83/24.23 tff(6943,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6944,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57))),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 37.83/24.23 tff(6945,plain,
% 37.83/24.23 (~v95(constB57)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6944, 175, 6938, 6935])).
% 37.83/24.23 tff(6946,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6947,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6948,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57))),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 37.83/24.23 tff(6949,plain,
% 37.83/24.23 (v95(constB57) | (~v94(constB57))),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6948, 192, 6938])).
% 37.83/24.23 tff(6950,plain,
% 37.83/24.23 (~v94(constB57)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6949, 6945])).
% 37.83/24.23 tff(6951,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6952,plain,
% 37.83/24.23 (((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1))) <=> (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6953,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1))))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6952])).
% 37.83/24.23 tff(6954,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 37.83/24.23 inference(transitivity,[status(thm)],[6953, 6951])).
% 37.83/24.23 tff(6955,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6956,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1))),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6955, 6954])).
% 37.83/24.23 tff(6957,plain,
% 37.83/24.23 (v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1))),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6956, 228, 6938])).
% 37.83/24.23 tff(6958,plain,
% 37.83/24.23 (v84(constB56, bitIndex1) | (~v84(constB57, bitIndex1))),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6957, 6950])).
% 37.83/24.23 tff(6959,plain,
% 37.83/24.23 (~v84(constB57, bitIndex1)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6958, 6932])).
% 37.83/24.23 tff(6960,plain,
% 37.83/24.23 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB55, bitIndex2)) | v145(constB55) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB55, bitIndex2)) | v145(constB55) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6961,plain,
% 37.83/24.23 ((v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex2))) <=> ((~v124(constB55, bitIndex2)) | v145(constB55) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6962,plain,
% 37.83/24.23 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB55, bitIndex2)) | v145(constB55) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55)))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6961])).
% 37.83/24.23 tff(6963,plain,
% 37.83/24.23 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB55, bitIndex2)) | v145(constB55) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.83/24.23 inference(transitivity,[status(thm)],[6962, 6960])).
% 37.83/24.23 tff(6964,plain,
% 37.83/24.23 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | (~v124(constB55, bitIndex2)))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6965,plain,
% 37.83/24.23 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB55, bitIndex2)) | v145(constB55) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55)),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 37.83/24.23 tff(6966,plain,
% 37.83/24.23 (~v124(constB55, bitIndex2)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6965, 1130, 6705, 6701, 6697, 6693, 6658, 6654])).
% 37.83/24.23 tff(6967,plain,
% 37.83/24.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6968,plain,
% 37.83/24.23 ((v26(constB55) | v124(constB55, bitIndex2) | (~v121(constB55, bitIndex2))) <=> ((~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6969,plain,
% 37.83/24.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB55) | v124(constB55, bitIndex2) | (~v121(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2)))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6968])).
% 37.83/24.23 tff(6970,plain,
% 37.83/24.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB55) | v124(constB55, bitIndex2) | (~v121(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2))),
% 37.83/24.23 inference(transitivity,[status(thm)],[6969, 6967])).
% 37.83/24.23 tff(6971,plain,
% 37.83/24.23 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB55) | v124(constB55, bitIndex2) | (~v121(constB55, bitIndex2)))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6972,plain,
% 37.83/24.23 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB55, bitIndex2)) | v26(constB55) | v124(constB55, bitIndex2)),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6971, 6970])).
% 37.83/24.23 tff(6973,plain,
% 37.83/24.23 ((~v121(constB55, bitIndex2)) | v124(constB55, bitIndex2)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6972, 1147, 6716])).
% 37.83/24.23 tff(6974,plain,
% 37.83/24.23 (~v121(constB55, bitIndex2)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6973, 6966])).
% 37.83/24.23 tff(6975,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6976,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2)))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6977,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2))),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 37.83/24.23 tff(6978,plain,
% 37.83/24.23 (v121(constB55, bitIndex2) | (~v123(constB56, bitIndex2))),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6977, 1165, 6727])).
% 37.83/24.23 tff(6979,plain,
% 37.83/24.23 (~v123(constB56, bitIndex2)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6978, 6974])).
% 37.83/24.23 tff(6980,plain,
% 37.83/24.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6981,plain,
% 37.83/24.23 (((~v84(constB56, bitIndex2)) | (~v94(constB56)) | v123(constB56, bitIndex2)) <=> ((~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6982,plain,
% 37.83/24.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~v94(constB56)) | v123(constB56, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56))))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6981])).
% 37.83/24.23 tff(6983,plain,
% 37.83/24.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~v94(constB56)) | v123(constB56, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56)))),
% 37.83/24.23 inference(transitivity,[status(thm)],[6982, 6980])).
% 37.83/24.23 tff(6984,plain,
% 37.83/24.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~v94(constB56)) | v123(constB56, bitIndex2))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6985,plain,
% 37.83/24.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2) | (~v94(constB56))),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 37.83/24.23 tff(6986,plain,
% 37.83/24.23 ((~v84(constB56, bitIndex2)) | v123(constB56, bitIndex2)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6985, 1180, 6924])).
% 37.83/24.23 tff(6987,plain,
% 37.83/24.23 (~v84(constB56, bitIndex2)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6986, 6979])).
% 37.83/24.23 tff(6988,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6989,plain,
% 37.83/24.23 (((~nextState(constB56, constB57)) | v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2))) <=> (v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2)))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6990,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2))))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6989])).
% 37.83/24.23 tff(6991,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2)))),
% 37.83/24.23 inference(transitivity,[status(thm)],[6990, 6988])).
% 37.83/24.23 tff(6992,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2)))),
% 37.83/24.23 inference(quant_inst,[status(thm)],[])).
% 37.83/24.23 tff(6993,plain,
% 37.83/24.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex2))),
% 37.83/24.23 inference(modus_ponens,[status(thm)],[6992, 6991])).
% 37.83/24.23 tff(6994,plain,
% 37.83/24.23 (v84(constB56, bitIndex2) | v94(constB57) | (~v84(constB57, bitIndex2))),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6993, 207, 6938])).
% 37.83/24.23 tff(6995,plain,
% 37.83/24.23 (v84(constB56, bitIndex2) | (~v84(constB57, bitIndex2))),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6994, 6950])).
% 37.83/24.23 tff(6996,plain,
% 37.83/24.23 (~v84(constB57, bitIndex2)),
% 37.83/24.23 inference(unit_resolution,[status(thm)],[6995, 6987])).
% 37.83/24.23 tff(6997,assumption,(~v84(constB57, bitIndex2)), introduced(assumption)).
% 37.83/24.23 tff(6998,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(6999,plain,
% 37.83/24.23 (((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2)) <=> ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 37.83/24.23 inference(rewrite,[status(thm)],[])).
% 37.83/24.23 tff(7000,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2)))),
% 37.83/24.23 inference(monotonicity,[status(thm)],[6999])).
% 37.83/24.23 tff(7001,plain,
% 37.83/24.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 37.83/24.24 inference(transitivity,[status(thm)],[7000, 6998])).
% 37.83/24.24 tff(7002,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7003,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7002, 7001])).
% 37.83/24.24 tff(7004,plain,
% 37.83/24.24 ((~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7003, 543, 6938])).
% 37.83/24.24 tff(7005,plain,
% 37.83/24.24 ((~v84(constB56, bitIndex2)) | v84(constB57, bitIndex2)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7004, 6950])).
% 37.83/24.24 tff(7006,plain,
% 37.83/24.24 (~v84(constB56, bitIndex2)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7005, 6997])).
% 37.83/24.24 tff(7007,assumption,(~v84(constB57, bitIndex1)), introduced(assumption)).
% 37.83/24.24 tff(7008,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex1))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7009,plain,
% 37.83/24.24 (((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex1)) | v94(constB57) | v84(constB57, bitIndex1)) <=> ((~v84(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex1))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7010,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex1)) | v94(constB57) | v84(constB57, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex1)))),
% 37.83/24.24 inference(monotonicity,[status(thm)],[7009])).
% 37.83/24.24 tff(7011,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex1)) | v94(constB57) | v84(constB57, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex1))),
% 37.83/24.24 inference(transitivity,[status(thm)],[7010, 7008])).
% 37.83/24.24 tff(7012,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex1)) | v94(constB57) | v84(constB57, bitIndex1))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7013,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex1)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7012, 7011])).
% 37.83/24.24 tff(7014,plain,
% 37.83/24.24 ((~v84(constB56, bitIndex1)) | v94(constB57) | v84(constB57, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7013, 923, 6938])).
% 37.83/24.24 tff(7015,plain,
% 37.83/24.24 ((~v84(constB56, bitIndex1)) | v84(constB57, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7014, 6950])).
% 37.83/24.24 tff(7016,plain,
% 37.83/24.24 (~v84(constB56, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7015, 7007])).
% 37.83/24.24 tff(7017,assumption,(~v145(constB57)), introduced(assumption)).
% 37.83/24.24 tff(7018,plain,
% 37.83/24.24 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | v145(constB57))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | v145(constB57))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7019,plain,
% 37.83/24.24 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | v145(constB57))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7020,plain,
% 37.83/24.24 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | v145(constB57)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 37.83/24.24 tff(7021,plain,
% 37.83/24.24 ((~v84(constB57, bitIndex0)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex2)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7020, 1356, 7017])).
% 37.83/24.24 tff(7022,plain,
% 37.83/24.24 (~v84(constB57, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7021, 7007, 6997])).
% 37.83/24.24 tff(7023,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7024,plain,
% 37.83/24.24 (((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0)) <=> ((~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7025,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0)))),
% 37.83/24.24 inference(monotonicity,[status(thm)],[7024])).
% 37.83/24.24 tff(7026,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0))),
% 37.83/24.24 inference(transitivity,[status(thm)],[7025, 7023])).
% 37.83/24.24 tff(7027,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7028,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex0)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7027, 7026])).
% 37.83/24.24 tff(7029,plain,
% 37.83/24.24 ((~v84(constB56, bitIndex0)) | v94(constB57) | v84(constB57, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7028, 1337, 6938])).
% 37.83/24.24 tff(7030,plain,
% 37.83/24.24 ((~v84(constB56, bitIndex0)) | v84(constB57, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7029, 6950])).
% 37.83/24.24 tff(7031,plain,
% 37.83/24.24 (~v84(constB56, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7030, 7022])).
% 37.83/24.24 tff(7032,assumption,(~v84(constB56, bitIndex1)), introduced(assumption)).
% 37.83/24.24 tff(7033,assumption,(~v84(constB56, bitIndex0)), introduced(assumption)).
% 37.83/24.24 tff(7034,plain,
% 37.83/24.24 (v84(constB55, bitIndex0) | v84(constB55, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[6815, 270, 6812, 6810])).
% 37.83/24.24 tff(7035,plain,
% 37.83/24.24 (v84(constB55, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7034, 6809])).
% 37.83/24.24 tff(7036,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB55, bitIndex0)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB55, bitIndex0)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex0))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7037,plain,
% 37.83/24.24 (((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex0)) | v94(constB56) | v84(constB56, bitIndex0)) <=> ((~v84(constB55, bitIndex0)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex0))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7038,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex0)) | v94(constB56) | v84(constB56, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB55, bitIndex0)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex0)))),
% 37.83/24.24 inference(monotonicity,[status(thm)],[7037])).
% 37.83/24.24 tff(7039,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex0)) | v94(constB56) | v84(constB56, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB55, bitIndex0)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex0))),
% 37.83/24.24 inference(transitivity,[status(thm)],[7038, 7036])).
% 37.83/24.24 tff(7040,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex0)) | v94(constB56) | v84(constB56, bitIndex0))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7041,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB55, bitIndex0)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex0)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7040, 7039])).
% 37.83/24.24 tff(7042,plain,
% 37.83/24.24 ((~v84(constB55, bitIndex0)) | v94(constB56) | v84(constB56, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7041, 1337, 6727])).
% 37.83/24.24 tff(7043,plain,
% 37.83/24.24 (v94(constB56)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7042, 7035, 7033])).
% 37.83/24.24 tff(7044,plain,
% 37.83/24.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~v123(constB56, bitIndex1)) | (~v94(constB56)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~v123(constB56, bitIndex1)) | (~v94(constB56)))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7045,plain,
% 37.83/24.24 ((v84(constB56, bitIndex1) | (~v94(constB56)) | (~v123(constB56, bitIndex1))) <=> (v84(constB56, bitIndex1) | (~v123(constB56, bitIndex1)) | (~v94(constB56)))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7046,plain,
% 37.83/24.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~v94(constB56)) | (~v123(constB56, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~v123(constB56, bitIndex1)) | (~v94(constB56))))),
% 37.83/24.24 inference(monotonicity,[status(thm)],[7045])).
% 37.83/24.24 tff(7047,plain,
% 37.83/24.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~v94(constB56)) | (~v123(constB56, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~v123(constB56, bitIndex1)) | (~v94(constB56)))),
% 37.83/24.24 inference(transitivity,[status(thm)],[7046, 7044])).
% 37.83/24.24 tff(7048,plain,
% 37.83/24.24 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~v94(constB56)) | (~v123(constB56, bitIndex1)))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7049,plain,
% 37.83/24.24 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~v123(constB56, bitIndex1)) | (~v94(constB56))),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 37.83/24.24 tff(7050,plain,
% 37.83/24.24 ((~v123(constB56, bitIndex1)) | (~v94(constB56))),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7049, 905, 7032])).
% 37.83/24.24 tff(7051,plain,
% 37.83/24.24 (~v123(constB56, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7050, 7043])).
% 37.83/24.24 tff(7052,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex1)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex1)) | v123(constB56, bitIndex1))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7053,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex1)) | v123(constB56, bitIndex1))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7054,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex1)) | v123(constB56, bitIndex1)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7053, 7052])).
% 37.83/24.24 tff(7055,plain,
% 37.83/24.24 ((~v121(constB55, bitIndex1)) | v123(constB56, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7054, 890, 6727])).
% 37.83/24.24 tff(7056,plain,
% 37.83/24.24 (~v121(constB55, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7055, 7051])).
% 37.83/24.24 tff(7057,plain,
% 37.83/24.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB55) | (~v124(constB55, bitIndex1)) | v121(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB55) | (~v124(constB55, bitIndex1)) | v121(constB55, bitIndex1))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7058,plain,
% 37.83/24.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB55) | (~v124(constB55, bitIndex1)) | v121(constB55, bitIndex1))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7059,plain,
% 37.83/24.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB55) | (~v124(constB55, bitIndex1)) | v121(constB55, bitIndex1)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7058, 7057])).
% 37.83/24.24 tff(7060,plain,
% 37.83/24.24 ((~v124(constB55, bitIndex1)) | v121(constB55, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7059, 875, 6716])).
% 37.83/24.24 tff(7061,plain,
% 37.83/24.24 (~v124(constB55, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7060, 7056])).
% 37.83/24.24 tff(7062,plain,
% 37.83/24.24 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> (v84(VarCurr, bitIndex2) | (~v118(VarCurr))))),
% 37.83/24.24 inference(bind,[status(th)],[])).
% 37.83/24.24 tff(7063,plain,
% 37.83/24.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 37.83/24.24 inference(quant_intro,[status(thm)],[7062])).
% 37.83/24.24 tff(7064,plain,
% 37.83/24.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7065,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 37.83/24.24 tff(7066,plain,
% 37.83/24.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7065, 7064])).
% 37.83/24.24 tff(7067,plain,(
% 37.83/24.24 ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 37.83/24.24 inference(skolemize,[status(sab)],[7066])).
% 37.83/24.24 tff(7068,plain,
% 37.83/24.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7067, 7063])).
% 37.83/24.24 tff(7069,plain,
% 37.83/24.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB55, bitIndex2) | (~v118(constB55)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB55, bitIndex2) | (~v118(constB55)))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7070,plain,
% 37.83/24.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB55, bitIndex2) | (~v118(constB55)))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7071,plain,
% 37.83/24.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB55, bitIndex2) | (~v118(constB55))),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7070, 7069])).
% 37.83/24.24 tff(7072,plain,
% 37.83/24.24 (~v118(constB55)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7071, 7068, 6812])).
% 37.83/24.24 tff(7073,plain,
% 37.83/24.24 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> (v84(VarCurr, bitIndex2) | (~v172(VarCurr))))),
% 37.83/24.24 inference(bind,[status(th)],[])).
% 37.83/24.24 tff(7074,plain,
% 37.83/24.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 37.83/24.24 inference(quant_intro,[status(thm)],[7073])).
% 37.83/24.24 tff(7075,plain,
% 37.83/24.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7076,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 37.83/24.24 tff(7077,plain,
% 37.83/24.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 37.83/24.24 tff(7078,plain,(
% 37.83/24.24 ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 37.83/24.24 inference(skolemize,[status(sab)],[7077])).
% 37.83/24.24 tff(7079,plain,
% 37.83/24.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7078, 7074])).
% 37.83/24.24 tff(7080,plain,
% 37.83/24.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB55, bitIndex2) | (~v172(constB55)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB55, bitIndex2) | (~v172(constB55)))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7081,plain,
% 37.83/24.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB55, bitIndex2) | (~v172(constB55)))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7082,plain,
% 37.83/24.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB55, bitIndex2) | (~v172(constB55))),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7081, 7080])).
% 37.83/24.24 tff(7083,plain,
% 37.83/24.24 (~v172(constB55)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7082, 7079, 6812])).
% 37.83/24.24 tff(7084,plain,
% 37.83/24.24 (v145(constB55)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[6847, 6809, 7083, 7072, 6810])).
% 37.83/24.24 tff(7085,plain,
% 37.83/24.24 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB55)) | v124(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB55)) | v124(constB55, bitIndex1))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7086,plain,
% 37.83/24.24 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB55)) | v124(constB55, bitIndex1))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7087,plain,
% 37.83/24.24 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB55)) | v124(constB55, bitIndex1)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7086, 7085])).
% 37.83/24.24 tff(7088,plain,
% 37.83/24.24 ($false),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7087, 1513, 7084, 7061])).
% 37.83/24.24 tff(7089,plain,(v84(constB55, bitIndex1) | v84(constB56, bitIndex1) | v84(constB56, bitIndex0) | v84(constB55, bitIndex2) | v113(constB55)), inference(lemma,lemma(discharge,[]))).
% 37.83/24.24 tff(7090,plain,
% 37.83/24.24 (v84(constB55, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7089, 6812, 7033, 7032, 6810])).
% 37.83/24.24 tff(7091,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB55, bitIndex1)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB55, bitIndex1)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex1))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7092,plain,
% 37.83/24.24 (((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex1)) | v94(constB56) | v84(constB56, bitIndex1)) <=> ((~v84(constB55, bitIndex1)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex1))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7093,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex1)) | v94(constB56) | v84(constB56, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB55, bitIndex1)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex1)))),
% 37.83/24.24 inference(monotonicity,[status(thm)],[7092])).
% 37.83/24.24 tff(7094,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex1)) | v94(constB56) | v84(constB56, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB55, bitIndex1)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex1))),
% 37.83/24.24 inference(transitivity,[status(thm)],[7093, 7091])).
% 37.83/24.24 tff(7095,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex1)) | v94(constB56) | v84(constB56, bitIndex1))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7096,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB55, bitIndex1)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex1)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 37.83/24.24 tff(7097,plain,
% 37.83/24.24 ((~v84(constB55, bitIndex1)) | v94(constB56) | v84(constB56, bitIndex1)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7096, 923, 6727])).
% 37.83/24.24 tff(7098,plain,
% 37.83/24.24 (v94(constB56)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7097, 7090, 7032])).
% 37.83/24.24 tff(7099,plain,
% 37.83/24.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56)))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7100,plain,
% 37.83/24.24 ((v84(constB56, bitIndex0) | (~v94(constB56)) | (~v123(constB56, bitIndex0))) <=> (v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56)))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7101,plain,
% 37.83/24.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v94(constB56)) | (~v123(constB56, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56))))),
% 37.83/24.24 inference(monotonicity,[status(thm)],[7100])).
% 37.83/24.24 tff(7102,plain,
% 37.83/24.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v94(constB56)) | (~v123(constB56, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56)))),
% 37.83/24.24 inference(transitivity,[status(thm)],[7101, 7099])).
% 37.83/24.24 tff(7103,plain,
% 37.83/24.24 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~v94(constB56)) | (~v123(constB56, bitIndex0)))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7104,plain,
% 37.83/24.24 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~v123(constB56, bitIndex0)) | (~v94(constB56))),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7103, 7102])).
% 37.83/24.24 tff(7105,plain,
% 37.83/24.24 ((~v123(constB56, bitIndex0)) | (~v94(constB56))),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7104, 1319, 7033])).
% 37.83/24.24 tff(7106,plain,
% 37.83/24.24 (~v123(constB56, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7105, 7098])).
% 37.83/24.24 tff(7107,plain,
% 37.83/24.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0))),
% 37.83/24.24 inference(rewrite,[status(thm)],[])).
% 37.83/24.24 tff(7108,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0))),
% 37.83/24.24 inference(quant_inst,[status(thm)],[])).
% 37.83/24.24 tff(7109,plain,
% 37.83/24.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0)),
% 37.83/24.24 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 37.83/24.24 tff(7110,plain,
% 37.83/24.24 ((~v121(constB55, bitIndex0)) | v123(constB56, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7109, 1304, 6727])).
% 37.83/24.24 tff(7111,plain,
% 37.83/24.24 (~v121(constB55, bitIndex0)),
% 37.83/24.24 inference(unit_resolution,[status(thm)],[7110, 7106])).
% 37.83/24.24 tff(7112,plain,
% 37.83/24.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB55) | (~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB55) | (~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7113,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB55) | (~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7114,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB55) | (~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7113, 7112])).
% 37.83/24.25 tff(7115,plain,
% 37.83/24.25 ((~v124(constB55, bitIndex0)) | v121(constB55, bitIndex0)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7114, 1289, 6716])).
% 37.83/24.25 tff(7116,plain,
% 37.83/24.25 (~v124(constB55, bitIndex0)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7115, 7111])).
% 37.83/24.25 tff(7117,assumption,(~v84(constB56, bitIndex2)), introduced(assumption)).
% 37.83/24.25 tff(7118,plain,
% 37.83/24.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7119,plain,
% 37.83/24.25 ((v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2))) <=> (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7120,plain,
% 37.83/24.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56))))),
% 37.83/24.25 inference(monotonicity,[status(thm)],[7119])).
% 37.83/24.25 tff(7121,plain,
% 37.83/24.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 37.83/24.25 inference(transitivity,[status(thm)],[7120, 7118])).
% 37.83/24.25 tff(7122,plain,
% 37.83/24.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7123,plain,
% 37.83/24.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7122, 7121])).
% 37.83/24.25 tff(7124,plain,
% 37.83/24.25 ((~v123(constB56, bitIndex2)) | (~v94(constB56))),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7123, 507, 7117])).
% 37.83/24.25 tff(7125,plain,
% 37.83/24.25 (~v123(constB56, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7124, 7098])).
% 37.83/24.25 tff(7126,plain,
% 37.83/24.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7127,plain,
% 37.83/24.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7128,plain,
% 37.83/24.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 37.83/24.25 tff(7129,plain,
% 37.83/24.25 ((~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7128, 492, 6727])).
% 37.83/24.25 tff(7130,plain,
% 37.83/24.25 (~v121(constB55, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7129, 7125])).
% 37.83/24.25 tff(7131,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7132,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7133,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 37.83/24.25 tff(7134,plain,
% 37.83/24.25 ((~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7133, 477, 6716])).
% 37.83/24.25 tff(7135,plain,
% 37.83/24.25 (~v124(constB55, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7134, 7130])).
% 37.83/24.25 tff(7136,plain,
% 37.83/24.25 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB55)) | v124(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB55)) | v124(constB55, bitIndex2))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7137,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB55)) | v124(constB55, bitIndex2))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7138,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB55)) | v124(constB55, bitIndex2)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7137, 7136])).
% 37.83/24.25 tff(7139,plain,
% 37.83/24.25 (~v116(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7138, 1918, 7135])).
% 37.83/24.25 tff(7140,plain,
% 37.83/24.25 (~v145(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[6704, 1116, 7090])).
% 37.83/24.25 tff(7141,plain,
% 37.83/24.25 (~v123(constB56, bitIndex1)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7050, 7098])).
% 37.83/24.25 tff(7142,plain,
% 37.83/24.25 (~v121(constB55, bitIndex1)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7055, 7141])).
% 37.83/24.25 tff(7143,plain,
% 37.83/24.25 (~v124(constB55, bitIndex1)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7060, 7142])).
% 37.83/24.25 tff(7144,plain,
% 37.83/24.25 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB55)) | v124(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB55)) | v124(constB55, bitIndex1))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7145,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB55)) | v124(constB55, bitIndex1))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7146,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB55)) | v124(constB55, bitIndex1)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7145, 7144])).
% 37.83/24.25 tff(7147,plain,
% 37.83/24.25 (~v115(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7146, 1750, 7143])).
% 37.83/24.25 tff(7148,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB55) | v124(constB55, bitIndex0) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB55) | v124(constB55, bitIndex0) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7149,plain,
% 37.83/24.25 ((v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | v124(constB55, bitIndex0)) <=> (v145(constB55) | v124(constB55, bitIndex0) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7150,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | v124(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB55) | v124(constB55, bitIndex0) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55)))),
% 37.83/24.25 inference(monotonicity,[status(thm)],[7149])).
% 37.83/24.25 tff(7151,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | v124(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB55) | v124(constB55, bitIndex0) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55))),
% 37.83/24.25 inference(transitivity,[status(thm)],[7150, 7148])).
% 37.83/24.25 tff(7152,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB55) | v145(constB55) | v115(constB55) | v116(constB55) | v172(constB55) | v118(constB55) | v124(constB55, bitIndex0))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7153,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB55) | v124(constB55, bitIndex0) | v172(constB55) | v116(constB55) | v113(constB55) | v115(constB55) | v118(constB55)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 37.83/24.25 tff(7154,plain,
% 37.83/24.25 (v145(constB55) | v124(constB55, bitIndex0) | v116(constB55) | v115(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7153, 1272, 6810, 7072, 7083])).
% 37.83/24.25 tff(7155,plain,
% 37.83/24.25 ($false),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7154, 7147, 7140, 7139, 7116])).
% 37.83/24.25 tff(7156,plain,(v84(constB55, bitIndex2) | v113(constB55) | v84(constB56, bitIndex0) | v84(constB56, bitIndex1) | v84(constB56, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 37.83/24.25 tff(7157,plain,
% 37.83/24.25 (v84(constB55, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7156, 7031, 6810, 7016, 7006])).
% 37.83/24.25 tff(7158,plain,
% 37.83/24.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB55, bitIndex2)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB55, bitIndex2)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex2))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7159,plain,
% 37.83/24.25 (((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex2)) | v94(constB56) | v84(constB56, bitIndex2)) <=> ((~v84(constB55, bitIndex2)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex2))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7160,plain,
% 37.83/24.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex2)) | v94(constB56) | v84(constB56, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB55, bitIndex2)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex2)))),
% 37.83/24.25 inference(monotonicity,[status(thm)],[7159])).
% 37.83/24.25 tff(7161,plain,
% 37.83/24.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex2)) | v94(constB56) | v84(constB56, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB55, bitIndex2)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex2))),
% 37.83/24.25 inference(transitivity,[status(thm)],[7160, 7158])).
% 37.83/24.25 tff(7162,plain,
% 37.83/24.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v84(constB55, bitIndex2)) | v94(constB56) | v84(constB56, bitIndex2))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7163,plain,
% 37.83/24.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB55, bitIndex2)) | (~nextState(constB55, constB56)) | v94(constB56) | v84(constB56, bitIndex2)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7162, 7161])).
% 37.83/24.25 tff(7164,plain,
% 37.83/24.25 ((~v84(constB55, bitIndex2)) | v94(constB56) | v84(constB56, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7163, 543, 6727])).
% 37.83/24.25 tff(7165,plain,
% 37.83/24.25 (v94(constB56)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7164, 7157, 7006])).
% 37.83/24.25 tff(7166,plain,
% 37.83/24.25 ((~v123(constB56, bitIndex2)) | (~v94(constB56))),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7123, 507, 7006])).
% 37.83/24.25 tff(7167,plain,
% 37.83/24.25 (~v123(constB56, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7166, 7165])).
% 37.83/24.25 tff(7168,plain,
% 37.83/24.25 (~v121(constB55, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7129, 7167])).
% 37.83/24.25 tff(7169,plain,
% 37.83/24.25 (~v124(constB55, bitIndex2)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7134, 7168])).
% 37.83/24.25 tff(7170,plain,
% 37.83/24.25 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB55)) | v124(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB55)) | v124(constB55, bitIndex2))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7171,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB55)) | v124(constB55, bitIndex2))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7172,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB55)) | v124(constB55, bitIndex2)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 37.83/24.25 tff(7173,plain,
% 37.83/24.25 (~v172(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7172, 724, 7169])).
% 37.83/24.25 tff(7174,plain,
% 37.83/24.25 ((~v123(constB56, bitIndex1)) | (~v94(constB56))),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7049, 905, 7016])).
% 37.83/24.25 tff(7175,plain,
% 37.83/24.25 (~v123(constB56, bitIndex1)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7174, 7165])).
% 37.83/24.25 tff(7176,plain,
% 37.83/24.25 (~v121(constB55, bitIndex1)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7055, 7175])).
% 37.83/24.25 tff(7177,plain,
% 37.83/24.25 (~v124(constB55, bitIndex1)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7060, 7176])).
% 37.83/24.25 tff(7178,plain,
% 37.83/24.25 (^[VarCurr: $i] : refl(((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 37.83/24.25 inference(bind,[status(th)],[])).
% 37.83/24.25 tff(7179,plain,
% 37.83/24.25 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.83/24.25 inference(quant_intro,[status(thm)],[7178])).
% 37.83/24.25 tff(7180,plain,
% 37.83/24.25 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7181,plain,
% 37.83/24.25 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex1) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 37.83/24.25 inference(bind,[status(th)],[])).
% 37.83/24.25 tff(7182,plain,
% 37.83/24.25 (![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.83/24.25 inference(quant_intro,[status(thm)],[7181])).
% 37.83/24.25 tff(7183,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 37.83/24.25 tff(7184,plain,
% 37.83/24.25 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 37.83/24.25 tff(7185,plain,
% 37.83/24.25 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7184, 7180])).
% 37.83/24.25 tff(7186,plain,(
% 37.83/24.25 ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.83/24.25 inference(skolemize,[status(sab)],[7185])).
% 37.83/24.25 tff(7187,plain,
% 37.83/24.25 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7186, 7179])).
% 37.83/24.25 tff(7188,plain,
% 37.83/24.25 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB55)) | v124(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB55)) | v124(constB55, bitIndex1))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7189,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB55)) | v124(constB55, bitIndex1))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7190,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB55)) | v124(constB55, bitIndex1)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 37.83/24.25 tff(7191,plain,
% 37.83/24.25 (~v118(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7190, 7187, 7177])).
% 37.83/24.25 tff(7192,plain,
% 37.83/24.25 ((~v123(constB56, bitIndex0)) | (~v94(constB56))),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7104, 1319, 7031])).
% 37.83/24.25 tff(7193,plain,
% 37.83/24.25 (~v123(constB56, bitIndex0)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7192, 7165])).
% 37.83/24.25 tff(7194,plain,
% 37.83/24.25 (~v121(constB55, bitIndex0)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7110, 7193])).
% 37.83/24.25 tff(7195,plain,
% 37.83/24.25 (~v124(constB55, bitIndex0)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7115, 7194])).
% 37.83/24.25 tff(7196,plain,
% 37.83/24.25 (~v116(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[6653, 1069, 7157])).
% 37.83/24.25 tff(7197,plain,
% 37.83/24.25 (~v115(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[6657, 1058, 7157])).
% 37.83/24.25 tff(7198,plain,
% 37.83/24.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB55, bitIndex2)) | (~v145(constB55)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB55, bitIndex2)) | (~v145(constB55)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7199,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB55, bitIndex2)) | (~v145(constB55)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7200,plain,
% 37.83/24.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB55, bitIndex2)) | (~v145(constB55))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 37.83/24.25 tff(7201,plain,
% 37.83/24.25 (~v145(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7200, 5709, 7157])).
% 37.83/24.25 tff(7202,plain,
% 37.83/24.25 (v172(constB55) | v118(constB55)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7153, 1272, 7201, 6810, 7197, 7196, 7195])).
% 37.83/24.25 tff(7203,plain,
% 37.83/24.25 ($false),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7202, 7191, 7173])).
% 37.83/24.25 tff(7204,plain,(v84(constB57, bitIndex1) | v113(constB55) | v84(constB57, bitIndex2) | v145(constB57)), inference(lemma,lemma(discharge,[]))).
% 37.83/24.25 tff(7205,plain,
% 37.83/24.25 (v145(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7204, 6996, 6701, 6959])).
% 37.83/24.25 tff(7206,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB57) | (~v145(constB57)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB57) | (~v145(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7207,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB57) | (~v145(constB57)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7208,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB57) | (~v145(constB57))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 37.83/24.25 tff(7209,plain,
% 37.83/24.25 (v112(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7208, 1367, 7205])).
% 37.83/24.25 tff(7210,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB57) | (~v112(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7211,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB57) | (~v112(constB57)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7212,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB57) | (~v112(constB57))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 37.83/24.25 tff(7213,plain,
% 37.83/24.25 (v111(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7212, 292, 7209])).
% 37.83/24.25 tff(7214,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB57) | (~v111(constB57)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB57) | (~v111(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7215,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB57) | (~v111(constB57)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7216,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB57) | (~v111(constB57))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7215, 7214])).
% 37.83/24.25 tff(7217,plain,
% 37.83/24.25 (v110(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7216, 303, 7213])).
% 37.83/24.25 tff(7218,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB57) | (~v110(constB57)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB57) | (~v110(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7219,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB57) | (~v110(constB57)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7220,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB57) | (~v110(constB57))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 37.83/24.25 tff(7221,plain,
% 37.83/24.25 (v109(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7220, 314, 7217])).
% 37.83/24.25 tff(7222,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB57) | (~v109(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB57) | (~v109(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7223,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB57) | (~v109(constB57)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7224,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB57) | (~v109(constB57))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 37.83/24.25 tff(7225,plain,
% 37.83/24.25 (v108(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7224, 325, 7221])).
% 37.83/24.25 tff(7226,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB57) | (~v108(constB57)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB57) | (~v108(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7227,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB57) | (~v108(constB57)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7228,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB57) | (~v108(constB57))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 37.83/24.25 tff(7229,plain,
% 37.83/24.25 (v107(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7228, 336, 7225])).
% 37.83/24.25 tff(7230,assumption,(v26(constB57)), introduced(assumption)).
% 37.83/24.25 tff(7231,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7232,plain,
% 37.83/24.25 ($false),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7231, 120, 7230])).
% 37.83/24.25 tff(7233,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 37.83/24.25 tff(7234,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | (~v107(constB57)) | v106(constB57))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7235,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7236,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | (~v107(constB57)) | v106(constB57)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 37.83/24.25 tff(7237,plain,
% 37.83/24.25 ((~v107(constB57)) | v106(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7236, 350, 7233])).
% 37.83/24.25 tff(7238,plain,
% 37.83/24.25 (v106(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7237, 7229])).
% 37.83/24.25 tff(7239,plain,
% 37.83/24.25 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB57) | (~v106(constB57)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB57) | (~v106(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7240,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB57) | (~v106(constB57)))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7241,plain,
% 37.83/24.25 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB57) | (~v106(constB57))),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7240, 7239])).
% 37.83/24.25 tff(7242,plain,
% 37.83/24.25 (v102(constB57)),
% 37.83/24.25 inference(unit_resolution,[status(thm)],[7241, 362, 7238])).
% 37.83/24.25 tff(7243,plain,
% 37.83/24.25 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7244,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 37.83/24.25 tff(7245,plain,
% 37.83/24.25 (nextState(constB57, constB58)),
% 37.83/24.25 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 37.83/24.25 tff(7246,plain,
% 37.83/24.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7247,plain,
% 37.83/24.25 (((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58)) <=> ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 37.83/24.25 inference(rewrite,[status(thm)],[])).
% 37.83/24.25 tff(7248,plain,
% 37.83/24.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57))))),
% 37.83/24.25 inference(monotonicity,[status(thm)],[7247])).
% 37.83/24.25 tff(7249,plain,
% 37.83/24.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 37.83/24.25 inference(transitivity,[status(thm)],[7248, 7246])).
% 37.83/24.25 tff(7250,plain,
% 37.83/24.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))),
% 37.83/24.25 inference(quant_inst,[status(thm)],[])).
% 37.83/24.25 tff(7251,plain,
% 37.83/24.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 37.83/24.26 tff(7252,plain,
% 37.83/24.26 (v104(constB58) | (~v102(constB57))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7251, 379, 7245])).
% 37.83/24.26 tff(7253,plain,
% 37.83/24.26 (v104(constB58)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7252, 7242])).
% 37.83/24.26 tff(7254,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7255,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7256,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7255, 7254])).
% 37.83/24.26 tff(7257,plain,
% 37.83/24.26 (~v98(constB58)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7256, 397, 7245, 6935])).
% 37.83/24.26 tff(7258,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7259,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7260,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB57, constB58)) | v96(constB58) | v98(constB58)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7259, 7258])).
% 37.83/24.26 tff(7261,plain,
% 37.83/24.26 (v96(constB58) | v98(constB58)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7260, 411, 7245])).
% 37.83/24.26 tff(7262,plain,
% 37.83/24.26 (v96(constB58)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7261, 7257])).
% 37.83/24.26 tff(7263,plain,
% 37.83/24.26 (v1(constB58) <=> v1(constB58)),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7264,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 37.83/24.26 tff(7265,plain,
% 37.83/24.26 (v1(constB58)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 37.83/24.26 tff(7266,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7267,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7268,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7267, 7266])).
% 37.83/24.26 tff(7269,plain,
% 37.83/24.26 (v95(constB58) | (~v96(constB58))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7268, 429, 7245, 7265])).
% 37.83/24.26 tff(7270,plain,
% 37.83/24.26 (v95(constB58)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7269, 7262])).
% 37.83/24.26 tff(7271,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7272,plain,
% 37.83/24.26 (((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58)) <=> ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7273,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58))))),
% 37.83/24.26 inference(monotonicity,[status(thm)],[7272])).
% 37.83/24.26 tff(7274,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 37.83/24.26 inference(transitivity,[status(thm)],[7273, 7271])).
% 37.83/24.26 tff(7275,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7276,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7275, 7274])).
% 37.83/24.26 tff(7277,plain,
% 37.83/24.26 (v94(constB58) | (~v95(constB58)) | (~v104(constB58))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7276, 444, 7245])).
% 37.83/24.26 tff(7278,plain,
% 37.83/24.26 (v94(constB58) | (~v104(constB58))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7277, 7270])).
% 37.83/24.26 tff(7279,plain,
% 37.83/24.26 (v94(constB58)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7278, 7253])).
% 37.83/24.26 tff(7280,plain,
% 37.83/24.26 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB57)) | (~v124(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB57)) | (~v124(constB57, bitIndex2)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7281,plain,
% 37.83/24.26 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB57)) | (~v124(constB57, bitIndex2)))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7282,plain,
% 37.83/24.26 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB57)) | (~v124(constB57, bitIndex2))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7281, 7280])).
% 37.83/24.26 tff(7283,plain,
% 37.83/24.26 (~v124(constB57, bitIndex2)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7282, 1451, 7205])).
% 37.83/24.26 tff(7284,plain,
% 37.83/24.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7285,plain,
% 37.83/24.26 ((v26(constB57) | v124(constB57, bitIndex2) | (~v121(constB57, bitIndex2))) <=> ((~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7286,plain,
% 37.83/24.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB57) | v124(constB57, bitIndex2) | (~v121(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2)))),
% 37.83/24.26 inference(monotonicity,[status(thm)],[7285])).
% 37.83/24.26 tff(7287,plain,
% 37.83/24.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB57) | v124(constB57, bitIndex2) | (~v121(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2))),
% 37.83/24.26 inference(transitivity,[status(thm)],[7286, 7284])).
% 37.83/24.26 tff(7288,plain,
% 37.83/24.26 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB57) | v124(constB57, bitIndex2) | (~v121(constB57, bitIndex2)))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7289,plain,
% 37.83/24.26 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB57, bitIndex2)) | v26(constB57) | v124(constB57, bitIndex2)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 37.83/24.26 tff(7290,plain,
% 37.83/24.26 ((~v121(constB57, bitIndex2)) | v124(constB57, bitIndex2)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7289, 1147, 7233])).
% 37.83/24.26 tff(7291,plain,
% 37.83/24.26 (~v121(constB57, bitIndex2)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7290, 7283])).
% 37.83/24.26 tff(7292,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7293,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2)))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7294,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7293, 7292])).
% 37.83/24.26 tff(7295,plain,
% 37.83/24.26 (v121(constB57, bitIndex2) | (~v123(constB58, bitIndex2))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7294, 1165, 7245])).
% 37.83/24.26 tff(7296,plain,
% 37.83/24.26 (~v123(constB58, bitIndex2)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7295, 7291])).
% 37.83/24.26 tff(7297,plain,
% 37.83/24.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7298,plain,
% 37.83/24.26 (((~v84(constB58, bitIndex2)) | (~v94(constB58)) | v123(constB58, bitIndex2)) <=> ((~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7299,plain,
% 37.83/24.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | (~v94(constB58)) | v123(constB58, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58))))),
% 37.83/24.26 inference(monotonicity,[status(thm)],[7298])).
% 37.83/24.26 tff(7300,plain,
% 37.83/24.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | (~v94(constB58)) | v123(constB58, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58)))),
% 37.83/24.26 inference(transitivity,[status(thm)],[7299, 7297])).
% 37.83/24.26 tff(7301,plain,
% 37.83/24.26 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | (~v94(constB58)) | v123(constB58, bitIndex2))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7302,plain,
% 37.83/24.26 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | v123(constB58, bitIndex2) | (~v94(constB58))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 37.83/24.26 tff(7303,plain,
% 37.83/24.26 ((~v84(constB58, bitIndex2)) | (~v94(constB58))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7302, 1180, 7296])).
% 37.83/24.26 tff(7304,plain,
% 37.83/24.26 (~v84(constB58, bitIndex2)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7303, 7279])).
% 37.83/24.26 tff(7305,plain,
% 37.83/24.26 ((~v1(constB59)) <=> (~v1(constB59))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7306,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 37.83/24.26 tff(7307,plain,
% 37.83/24.26 (~v1(constB59)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 37.83/24.26 tff(7308,plain,
% 37.83/24.26 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7309,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 37.83/24.26 tff(7310,plain,
% 37.83/24.26 (nextState(constB58, constB59)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 37.83/24.26 tff(7311,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7312,plain,
% 37.83/24.26 (((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7313,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59))))),
% 37.83/24.26 inference(monotonicity,[status(thm)],[7312])).
% 37.83/24.26 tff(7314,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 37.83/24.26 inference(transitivity,[status(thm)],[7313, 7311])).
% 37.83/24.26 tff(7315,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7316,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7315, 7314])).
% 37.83/24.26 tff(7317,plain,
% 37.83/24.26 (~v95(constB59)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7316, 175, 7310, 7307])).
% 37.83/24.26 tff(7318,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7319,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7320,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7319, 7318])).
% 37.83/24.26 tff(7321,plain,
% 37.83/24.26 (v95(constB59) | (~v94(constB59))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7320, 192, 7310])).
% 37.83/24.26 tff(7322,plain,
% 37.83/24.26 (~v94(constB59)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7321, 7317])).
% 37.83/24.26 tff(7323,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7324,plain,
% 37.83/24.26 (((~nextState(constB58, constB59)) | v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2))) <=> (v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7325,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2))))),
% 37.83/24.26 inference(monotonicity,[status(thm)],[7324])).
% 37.83/24.26 tff(7326,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2)))),
% 37.83/24.26 inference(transitivity,[status(thm)],[7325, 7323])).
% 37.83/24.26 tff(7327,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2)))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7328,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex2))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7327, 7326])).
% 37.83/24.26 tff(7329,plain,
% 37.83/24.26 (v84(constB58, bitIndex2) | v94(constB59) | (~v84(constB59, bitIndex2))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7328, 207, 7310])).
% 37.83/24.26 tff(7330,plain,
% 37.83/24.26 (v84(constB58, bitIndex2) | (~v84(constB59, bitIndex2))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7329, 7322])).
% 37.83/24.26 tff(7331,plain,
% 37.83/24.26 (~v84(constB59, bitIndex2)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7330, 7304])).
% 37.83/24.26 tff(7332,plain,
% 37.83/24.26 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB57)) | v124(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB57)) | v124(constB57, bitIndex1))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7333,plain,
% 37.83/24.26 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB57)) | v124(constB57, bitIndex1))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7334,plain,
% 37.83/24.26 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB57)) | v124(constB57, bitIndex1)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 37.83/24.26 tff(7335,plain,
% 37.83/24.26 (v124(constB57, bitIndex1)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7334, 1513, 7205])).
% 37.83/24.26 tff(7336,plain,
% 37.83/24.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB57) | (~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB57) | (~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7337,plain,
% 37.83/24.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB57) | (~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7338,plain,
% 37.83/24.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB57) | (~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7337, 7336])).
% 37.83/24.26 tff(7339,plain,
% 37.83/24.26 ((~v124(constB57, bitIndex1)) | v121(constB57, bitIndex1)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7338, 875, 7233])).
% 37.83/24.26 tff(7340,plain,
% 37.83/24.26 (v121(constB57, bitIndex1)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7339, 7335])).
% 37.83/24.26 tff(7341,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7342,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7343,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 37.83/24.26 tff(7344,plain,
% 37.83/24.26 ((~v121(constB57, bitIndex1)) | v123(constB58, bitIndex1)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7343, 890, 7245])).
% 37.83/24.26 tff(7345,plain,
% 37.83/24.26 (v123(constB58, bitIndex1)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7344, 7340])).
% 37.83/24.26 tff(7346,plain,
% 37.83/24.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7347,plain,
% 37.83/24.26 ((v84(constB58, bitIndex1) | (~v94(constB58)) | (~v123(constB58, bitIndex1))) <=> (v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58)))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7348,plain,
% 37.83/24.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v94(constB58)) | (~v123(constB58, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58))))),
% 37.83/24.26 inference(monotonicity,[status(thm)],[7347])).
% 37.83/24.26 tff(7349,plain,
% 37.83/24.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v94(constB58)) | (~v123(constB58, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58)))),
% 37.83/24.26 inference(transitivity,[status(thm)],[7348, 7346])).
% 37.83/24.26 tff(7350,plain,
% 37.83/24.26 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~v94(constB58)) | (~v123(constB58, bitIndex1)))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7351,plain,
% 37.83/24.26 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~v123(constB58, bitIndex1)) | (~v94(constB58))),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 37.83/24.26 tff(7352,plain,
% 37.83/24.26 (v84(constB58, bitIndex1) | (~v94(constB58))),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7351, 905, 7345])).
% 37.83/24.26 tff(7353,plain,
% 37.83/24.26 (v84(constB58, bitIndex1)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7352, 7279])).
% 37.83/24.26 tff(7354,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7355,plain,
% 37.83/24.26 (((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1)) <=> ((~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1))),
% 37.83/24.26 inference(rewrite,[status(thm)],[])).
% 37.83/24.26 tff(7356,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1)))),
% 37.83/24.26 inference(monotonicity,[status(thm)],[7355])).
% 37.83/24.26 tff(7357,plain,
% 37.83/24.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1))),
% 37.83/24.26 inference(transitivity,[status(thm)],[7356, 7354])).
% 37.83/24.26 tff(7358,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1))),
% 37.83/24.26 inference(quant_inst,[status(thm)],[])).
% 37.83/24.26 tff(7359,plain,
% 37.83/24.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex1)),
% 37.83/24.26 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 37.83/24.26 tff(7360,plain,
% 37.83/24.26 ((~v84(constB58, bitIndex1)) | v94(constB59) | v84(constB59, bitIndex1)),
% 37.83/24.26 inference(unit_resolution,[status(thm)],[7359, 923, 7310])).
% 37.83/24.26 tff(7361,plain,
% 37.83/24.26 ((~v84(constB58, bitIndex1)) | v84(constB59, bitIndex1)),
% 37.83/24.27 inference(unit_resolution,[status(thm)],[7360, 7322])).
% 37.83/24.27 tff(7362,plain,
% 37.83/24.27 (v84(constB59, bitIndex1)),
% 37.83/24.27 inference(unit_resolution,[status(thm)],[7361, 7353])).
% 37.83/24.27 tff(7363,plain,
% 37.83/24.27 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB57)) | (~v124(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB57)) | (~v124(constB57, bitIndex0)))),
% 37.83/24.27 inference(rewrite,[status(thm)],[])).
% 37.83/24.27 tff(7364,plain,
% 37.83/24.27 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB57)) | (~v124(constB57, bitIndex0)))),
% 37.83/24.27 inference(quant_inst,[status(thm)],[])).
% 37.83/24.27 tff(7365,plain,
% 37.83/24.27 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB57)) | (~v124(constB57, bitIndex0))),
% 37.83/24.27 inference(modus_ponens,[status(thm)],[7364, 7363])).
% 37.83/24.27 tff(7366,plain,
% 37.83/24.27 (~v124(constB57, bitIndex0)),
% 37.83/24.27 inference(unit_resolution,[status(thm)],[7365, 1554, 7205])).
% 37.83/24.27 tff(7367,plain,
% 37.83/24.27 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0))),
% 37.83/24.27 inference(rewrite,[status(thm)],[])).
% 37.83/24.27 tff(7368,plain,
% 37.83/24.27 ((v26(constB57) | v124(constB57, bitIndex0) | (~v121(constB57, bitIndex0))) <=> ((~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0))),
% 37.83/24.27 inference(rewrite,[status(thm)],[])).
% 37.83/24.27 tff(7369,plain,
% 37.83/24.27 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB57) | v124(constB57, bitIndex0) | (~v121(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0)))),
% 37.83/24.27 inference(monotonicity,[status(thm)],[7368])).
% 37.83/24.27 tff(7370,plain,
% 37.83/24.27 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB57) | v124(constB57, bitIndex0) | (~v121(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0))),
% 37.83/24.27 inference(transitivity,[status(thm)],[7369, 7367])).
% 37.83/24.27 tff(7371,plain,
% 37.83/24.27 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB57) | v124(constB57, bitIndex0) | (~v121(constB57, bitIndex0)))),
% 37.83/24.27 inference(quant_inst,[status(thm)],[])).
% 37.83/24.27 tff(7372,plain,
% 37.83/24.27 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB57, bitIndex0)) | v26(constB57) | v124(constB57, bitIndex0)),
% 37.83/24.27 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 37.83/24.27 tff(7373,plain,
% 37.83/24.27 ((~v121(constB57, bitIndex0)) | v124(constB57, bitIndex0)),
% 37.83/24.27 inference(unit_resolution,[status(thm)],[7372, 650, 7233])).
% 37.83/24.27 tff(7374,plain,
% 37.83/24.27 (~v121(constB57, bitIndex0)),
% 37.83/24.27 inference(unit_resolution,[status(thm)],[7373, 7366])).
% 37.83/24.27 tff(7375,plain,
% 37.83/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0)))),
% 37.83/24.27 inference(rewrite,[status(thm)],[])).
% 37.83/24.27 tff(7376,plain,
% 37.83/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0)))),
% 37.83/24.27 inference(quant_inst,[status(thm)],[])).
% 37.83/24.27 tff(7377,plain,
% 37.83/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7376, 7375])).
% 37.88/24.27 tff(7378,plain,
% 37.88/24.27 (v121(constB57, bitIndex0) | (~v123(constB58, bitIndex0))),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7377, 668, 7245])).
% 37.88/24.27 tff(7379,plain,
% 37.88/24.27 (~v123(constB58, bitIndex0)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7378, 7374])).
% 37.88/24.27 tff(7380,plain,
% 37.88/24.27 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7381,plain,
% 37.88/24.27 (((~v84(constB58, bitIndex0)) | (~v94(constB58)) | v123(constB58, bitIndex0)) <=> ((~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7382,plain,
% 37.88/24.27 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~v94(constB58)) | v123(constB58, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58))))),
% 37.88/24.27 inference(monotonicity,[status(thm)],[7381])).
% 37.88/24.27 tff(7383,plain,
% 37.88/24.27 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~v94(constB58)) | v123(constB58, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58)))),
% 37.88/24.27 inference(transitivity,[status(thm)],[7382, 7380])).
% 37.88/24.27 tff(7384,plain,
% 37.88/24.27 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~v94(constB58)) | v123(constB58, bitIndex0))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7385,plain,
% 37.88/24.27 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | v123(constB58, bitIndex0) | (~v94(constB58))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7384, 7383])).
% 37.88/24.27 tff(7386,plain,
% 37.88/24.27 ((~v84(constB58, bitIndex0)) | (~v94(constB58))),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7385, 683, 7379])).
% 37.88/24.27 tff(7387,plain,
% 37.88/24.27 (~v84(constB58, bitIndex0)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7386, 7279])).
% 37.88/24.27 tff(7388,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7389,plain,
% 37.88/24.27 (((~nextState(constB58, constB59)) | v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0))) <=> (v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7390,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0))))),
% 37.88/24.27 inference(monotonicity,[status(thm)],[7389])).
% 37.88/24.27 tff(7391,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0)))),
% 37.88/24.27 inference(transitivity,[status(thm)],[7390, 7388])).
% 37.88/24.27 tff(7392,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7393,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex0))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 37.88/24.27 tff(7394,plain,
% 37.88/24.27 (v84(constB58, bitIndex0) | v94(constB59) | (~v84(constB59, bitIndex0))),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7393, 249, 7310])).
% 37.88/24.27 tff(7395,plain,
% 37.88/24.27 (v84(constB58, bitIndex0) | (~v84(constB59, bitIndex0))),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7394, 7322])).
% 37.88/24.27 tff(7396,plain,
% 37.88/24.27 (~v84(constB59, bitIndex0)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7395, 7387])).
% 37.88/24.27 tff(7397,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7398,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7399,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59)),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 37.88/24.27 tff(7400,plain,
% 37.88/24.27 (v115(constB59)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7399, 1598, 7396, 7362, 7331])).
% 37.88/24.27 tff(7401,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB59) | (~v115(constB59)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB59) | (~v115(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7402,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB59) | (~v115(constB59)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7403,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB59) | (~v115(constB59))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7402, 7401])).
% 37.88/24.27 tff(7404,plain,
% 37.88/24.27 (v111(constB59)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7403, 1609, 7400])).
% 37.88/24.27 tff(7405,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB59) | (~v111(constB59)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB59) | (~v111(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7406,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB59) | (~v111(constB59)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7407,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB59) | (~v111(constB59))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 37.88/24.27 tff(7408,plain,
% 37.88/24.27 (v110(constB59)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7407, 303, 7404])).
% 37.88/24.27 tff(7409,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB59) | (~v110(constB59)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB59) | (~v110(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7410,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB59) | (~v110(constB59)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7411,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB59) | (~v110(constB59))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7410, 7409])).
% 37.88/24.27 tff(7412,plain,
% 37.88/24.27 (v109(constB59)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7411, 314, 7408])).
% 37.88/24.27 tff(7413,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB59) | (~v109(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB59) | (~v109(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7414,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB59) | (~v109(constB59)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7415,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB59) | (~v109(constB59))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 37.88/24.27 tff(7416,plain,
% 37.88/24.27 (v108(constB59)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7415, 325, 7412])).
% 37.88/24.27 tff(7417,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB59) | (~v108(constB59)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB59) | (~v108(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7418,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB59) | (~v108(constB59)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7419,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB59) | (~v108(constB59))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 37.88/24.27 tff(7420,plain,
% 37.88/24.27 (v107(constB59)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7419, 336, 7416])).
% 37.88/24.27 tff(7421,assumption,(v26(constB59)), introduced(assumption)).
% 37.88/24.27 tff(7422,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7423,plain,
% 37.88/24.27 ($false),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7422, 120, 7421])).
% 37.88/24.27 tff(7424,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 37.88/24.27 tff(7425,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7426,plain,
% 37.88/24.27 ((v26(constB59) | (~v107(constB59)) | v106(constB59)) <=> (v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7427,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59))))),
% 37.88/24.27 inference(monotonicity,[status(thm)],[7426])).
% 37.88/24.27 tff(7428,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 37.88/24.27 inference(transitivity,[status(thm)],[7427, 7425])).
% 37.88/24.27 tff(7429,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7430,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7429, 7428])).
% 37.88/24.27 tff(7431,plain,
% 37.88/24.27 (v106(constB59) | (~v107(constB59))),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7430, 350, 7424])).
% 37.88/24.27 tff(7432,plain,
% 37.88/24.27 (v106(constB59)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7431, 7420])).
% 37.88/24.27 tff(7433,plain,
% 37.88/24.27 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB59) | (~v106(constB59)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB59) | (~v106(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7434,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB59) | (~v106(constB59)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7435,plain,
% 37.88/24.27 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB59) | (~v106(constB59))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7434, 7433])).
% 37.88/24.27 tff(7436,plain,
% 37.88/24.27 (v102(constB59)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7435, 362, 7432])).
% 37.88/24.27 tff(7437,plain,
% 37.88/24.27 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7438,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 37.88/24.27 tff(7439,plain,
% 37.88/24.27 (nextState(constB59, constB60)),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7438, 7437])).
% 37.88/24.27 tff(7440,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7441,plain,
% 37.88/24.27 (((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7442,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))))),
% 37.88/24.27 inference(monotonicity,[status(thm)],[7441])).
% 37.88/24.27 tff(7443,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 37.88/24.27 inference(transitivity,[status(thm)],[7442, 7440])).
% 37.88/24.27 tff(7444,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7445,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 37.88/24.27 tff(7446,plain,
% 37.88/24.27 (v104(constB60) | (~v102(constB59))),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7445, 379, 7439])).
% 37.88/24.27 tff(7447,plain,
% 37.88/24.27 (v104(constB60)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7446, 7436])).
% 37.88/24.27 tff(7448,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7449,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7450,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7449, 7448])).
% 37.88/24.27 tff(7451,plain,
% 37.88/24.27 (~v98(constB60)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7450, 397, 7439, 7307])).
% 37.88/24.27 tff(7452,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7453,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7454,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60)),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7453, 7452])).
% 37.88/24.27 tff(7455,plain,
% 37.88/24.27 (v96(constB60) | v98(constB60)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7454, 411, 7439])).
% 37.88/24.27 tff(7456,plain,
% 37.88/24.27 (v96(constB60)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7455, 7451])).
% 37.88/24.27 tff(7457,plain,
% 37.88/24.27 (v1(constB60) <=> v1(constB60)),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7458,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 37.88/24.27 tff(7459,plain,
% 37.88/24.27 (v1(constB60)),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 37.88/24.27 tff(7460,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7461,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 37.88/24.27 inference(quant_inst,[status(thm)],[])).
% 37.88/24.27 tff(7462,plain,
% 37.88/24.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60))),
% 37.88/24.27 inference(modus_ponens,[status(thm)],[7461, 7460])).
% 37.88/24.27 tff(7463,plain,
% 37.88/24.27 (v95(constB60) | (~v96(constB60))),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7462, 429, 7439, 7459])).
% 37.88/24.27 tff(7464,plain,
% 37.88/24.27 (v95(constB60)),
% 37.88/24.27 inference(unit_resolution,[status(thm)],[7463, 7456])).
% 37.88/24.27 tff(7465,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7466,plain,
% 37.88/24.27 (((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60)) <=> ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 37.88/24.27 inference(rewrite,[status(thm)],[])).
% 37.88/24.27 tff(7467,plain,
% 37.88/24.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60))))),
% 37.88/24.28 inference(monotonicity,[status(thm)],[7466])).
% 37.88/24.28 tff(7468,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 37.88/24.28 inference(transitivity,[status(thm)],[7467, 7465])).
% 37.88/24.28 tff(7469,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7470,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60))),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7469, 7468])).
% 37.88/24.28 tff(7471,plain,
% 37.88/24.28 (v94(constB60) | (~v95(constB60)) | (~v104(constB60))),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7470, 444, 7439])).
% 37.88/24.28 tff(7472,plain,
% 37.88/24.28 (v94(constB60) | (~v104(constB60))),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7471, 7464])).
% 37.88/24.28 tff(7473,plain,
% 37.88/24.28 (v94(constB60)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7472, 7447])).
% 37.88/24.28 tff(7474,plain,
% 37.88/24.28 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB59)) | (~v124(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB59)) | (~v124(constB59, bitIndex2)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7475,plain,
% 37.88/24.28 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB59)) | (~v124(constB59, bitIndex2)))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7476,plain,
% 37.88/24.28 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB59)) | (~v124(constB59, bitIndex2))),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7475, 7474])).
% 37.88/24.28 tff(7477,plain,
% 37.88/24.28 (~v124(constB59, bitIndex2)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7476, 1688, 7400])).
% 37.88/24.28 tff(7478,plain,
% 37.88/24.28 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7479,plain,
% 37.88/24.28 ((v26(constB59) | v124(constB59, bitIndex2) | (~v121(constB59, bitIndex2))) <=> ((~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7480,plain,
% 37.88/24.28 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB59) | v124(constB59, bitIndex2) | (~v121(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2)))),
% 37.88/24.28 inference(monotonicity,[status(thm)],[7479])).
% 37.88/24.28 tff(7481,plain,
% 37.88/24.28 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB59) | v124(constB59, bitIndex2) | (~v121(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2))),
% 37.88/24.28 inference(transitivity,[status(thm)],[7480, 7478])).
% 37.88/24.28 tff(7482,plain,
% 37.88/24.28 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB59) | v124(constB59, bitIndex2) | (~v121(constB59, bitIndex2)))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7483,plain,
% 37.88/24.28 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB59, bitIndex2)) | v26(constB59) | v124(constB59, bitIndex2)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7482, 7481])).
% 37.88/24.28 tff(7484,plain,
% 37.88/24.28 ((~v121(constB59, bitIndex2)) | v124(constB59, bitIndex2)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7483, 1147, 7424])).
% 37.88/24.28 tff(7485,plain,
% 37.88/24.28 (~v121(constB59, bitIndex2)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7484, 7477])).
% 37.88/24.28 tff(7486,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7487,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2)))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7488,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2))),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7487, 7486])).
% 37.88/24.28 tff(7489,plain,
% 37.88/24.28 (v121(constB59, bitIndex2) | (~v123(constB60, bitIndex2))),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7488, 1165, 7439])).
% 37.88/24.28 tff(7490,plain,
% 37.88/24.28 (~v123(constB60, bitIndex2)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7489, 7485])).
% 37.88/24.28 tff(7491,plain,
% 37.88/24.28 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7492,plain,
% 37.88/24.28 (((~v84(constB60, bitIndex2)) | (~v94(constB60)) | v123(constB60, bitIndex2)) <=> ((~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7493,plain,
% 37.88/24.28 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | (~v94(constB60)) | v123(constB60, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60))))),
% 37.88/24.28 inference(monotonicity,[status(thm)],[7492])).
% 37.88/24.28 tff(7494,plain,
% 37.88/24.28 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | (~v94(constB60)) | v123(constB60, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60)))),
% 37.88/24.28 inference(transitivity,[status(thm)],[7493, 7491])).
% 37.88/24.28 tff(7495,plain,
% 37.88/24.28 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | (~v94(constB60)) | v123(constB60, bitIndex2))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7496,plain,
% 37.88/24.28 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | v123(constB60, bitIndex2) | (~v94(constB60))),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7495, 7494])).
% 37.88/24.28 tff(7497,plain,
% 37.88/24.28 ((~v84(constB60, bitIndex2)) | (~v94(constB60))),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7496, 1180, 7490])).
% 37.88/24.28 tff(7498,plain,
% 37.88/24.28 (~v84(constB60, bitIndex2)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7497, 7473])).
% 37.88/24.28 tff(7499,plain,
% 37.88/24.28 ((~v1(constB61)) <=> (~v1(constB61))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7500,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 37.88/24.28 tff(7501,plain,
% 37.88/24.28 (~v1(constB61)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 37.88/24.28 tff(7502,plain,
% 37.88/24.28 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7503,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 37.88/24.28 tff(7504,plain,
% 37.88/24.28 (nextState(constB60, constB61)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7503, 7502])).
% 37.88/24.28 tff(7505,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7506,plain,
% 37.88/24.28 (((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7507,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))))),
% 37.88/24.28 inference(monotonicity,[status(thm)],[7506])).
% 37.88/24.28 tff(7508,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 37.88/24.28 inference(transitivity,[status(thm)],[7507, 7505])).
% 37.88/24.28 tff(7509,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7510,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 37.88/24.28 tff(7511,plain,
% 37.88/24.28 (~v95(constB61)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7510, 175, 7504, 7501])).
% 37.88/24.28 tff(7512,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7513,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7514,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61))),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7513, 7512])).
% 37.88/24.28 tff(7515,plain,
% 37.88/24.28 (v95(constB61) | (~v94(constB61))),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7514, 192, 7504])).
% 37.88/24.28 tff(7516,plain,
% 37.88/24.28 (~v94(constB61)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7515, 7511])).
% 37.88/24.28 tff(7517,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7518,plain,
% 37.88/24.28 (((~nextState(constB60, constB61)) | v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2))) <=> (v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7519,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2))))),
% 37.88/24.28 inference(monotonicity,[status(thm)],[7518])).
% 37.88/24.28 tff(7520,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2)))),
% 37.88/24.28 inference(transitivity,[status(thm)],[7519, 7517])).
% 37.88/24.28 tff(7521,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2)))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7522,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex2))),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 37.88/24.28 tff(7523,plain,
% 37.88/24.28 (v84(constB60, bitIndex2) | v94(constB61) | (~v84(constB61, bitIndex2))),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7522, 207, 7504])).
% 37.88/24.28 tff(7524,plain,
% 37.88/24.28 (v84(constB60, bitIndex2) | (~v84(constB61, bitIndex2))),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7523, 7516])).
% 37.88/24.28 tff(7525,plain,
% 37.88/24.28 (~v84(constB61, bitIndex2)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7524, 7498])).
% 37.88/24.28 tff(7526,plain,
% 37.88/24.28 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB59)) | v124(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB59)) | v124(constB59, bitIndex1))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7527,plain,
% 37.88/24.28 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB59)) | v124(constB59, bitIndex1))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7528,plain,
% 37.88/24.28 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB59)) | v124(constB59, bitIndex1)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7527, 7526])).
% 37.88/24.28 tff(7529,plain,
% 37.88/24.28 (v124(constB59, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7528, 1750, 7400])).
% 37.88/24.28 tff(7530,plain,
% 37.88/24.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7531,plain,
% 37.88/24.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7532,plain,
% 37.88/24.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7531, 7530])).
% 37.88/24.28 tff(7533,plain,
% 37.88/24.28 ((~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7532, 875, 7424])).
% 37.88/24.28 tff(7534,plain,
% 37.88/24.28 (v121(constB59, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7533, 7529])).
% 37.88/24.28 tff(7535,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7536,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7537,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7536, 7535])).
% 37.88/24.28 tff(7538,plain,
% 37.88/24.28 ((~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7537, 890, 7439])).
% 37.88/24.28 tff(7539,plain,
% 37.88/24.28 (v123(constB60, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7538, 7534])).
% 37.88/24.28 tff(7540,plain,
% 37.88/24.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7541,plain,
% 37.88/24.28 ((v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1))) <=> (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7542,plain,
% 37.88/24.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60))))),
% 37.88/24.28 inference(monotonicity,[status(thm)],[7541])).
% 37.88/24.28 tff(7543,plain,
% 37.88/24.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 37.88/24.28 inference(transitivity,[status(thm)],[7542, 7540])).
% 37.88/24.28 tff(7544,plain,
% 37.88/24.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7545,plain,
% 37.88/24.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60))),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 37.88/24.28 tff(7546,plain,
% 37.88/24.28 (v84(constB60, bitIndex1) | (~v94(constB60))),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7545, 905, 7539])).
% 37.88/24.28 tff(7547,plain,
% 37.88/24.28 (v84(constB60, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7546, 7473])).
% 37.88/24.28 tff(7548,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7549,plain,
% 37.88/24.28 (((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1)) <=> ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7550,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1)))),
% 37.88/24.28 inference(monotonicity,[status(thm)],[7549])).
% 37.88/24.28 tff(7551,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 37.88/24.28 inference(transitivity,[status(thm)],[7550, 7548])).
% 37.88/24.28 tff(7552,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7553,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7552, 7551])).
% 37.88/24.28 tff(7554,plain,
% 37.88/24.28 ((~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7553, 923, 7504])).
% 37.88/24.28 tff(7555,plain,
% 37.88/24.28 ((~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7554, 7516])).
% 37.88/24.28 tff(7556,plain,
% 37.88/24.28 (v84(constB61, bitIndex1)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7555, 7547])).
% 37.88/24.28 tff(7557,plain,
% 37.88/24.28 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB59)) | v124(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB59)) | v124(constB59, bitIndex0))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7558,plain,
% 37.88/24.28 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB59)) | v124(constB59, bitIndex0))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7559,plain,
% 37.88/24.28 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB59)) | v124(constB59, bitIndex0)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7558, 7557])).
% 37.88/24.28 tff(7560,plain,
% 37.88/24.28 (v124(constB59, bitIndex0)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7559, 1791, 7400])).
% 37.88/24.28 tff(7561,plain,
% 37.88/24.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB59) | (~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB59) | (~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7562,plain,
% 37.88/24.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB59) | (~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7563,plain,
% 37.88/24.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB59) | (~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7562, 7561])).
% 37.88/24.28 tff(7564,plain,
% 37.88/24.28 ((~v124(constB59, bitIndex0)) | v121(constB59, bitIndex0)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7563, 1289, 7424])).
% 37.88/24.28 tff(7565,plain,
% 37.88/24.28 (v121(constB59, bitIndex0)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7564, 7560])).
% 37.88/24.28 tff(7566,plain,
% 37.88/24.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7567,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0))),
% 37.88/24.28 inference(quant_inst,[status(thm)],[])).
% 37.88/24.28 tff(7568,plain,
% 37.88/24.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0)),
% 37.88/24.28 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 37.88/24.28 tff(7569,plain,
% 37.88/24.28 ((~v121(constB59, bitIndex0)) | v123(constB60, bitIndex0)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7568, 1304, 7439])).
% 37.88/24.28 tff(7570,plain,
% 37.88/24.28 (v123(constB60, bitIndex0)),
% 37.88/24.28 inference(unit_resolution,[status(thm)],[7569, 7565])).
% 37.88/24.28 tff(7571,plain,
% 37.88/24.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7572,plain,
% 37.88/24.28 ((v84(constB60, bitIndex0) | (~v94(constB60)) | (~v123(constB60, bitIndex0))) <=> (v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60)))),
% 37.88/24.28 inference(rewrite,[status(thm)],[])).
% 37.88/24.28 tff(7573,plain,
% 37.88/24.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v94(constB60)) | (~v123(constB60, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60))))),
% 37.88/24.28 inference(monotonicity,[status(thm)],[7572])).
% 37.88/24.28 tff(7574,plain,
% 37.88/24.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v94(constB60)) | (~v123(constB60, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60)))),
% 37.88/24.28 inference(transitivity,[status(thm)],[7573, 7571])).
% 37.88/24.28 tff(7575,plain,
% 37.88/24.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~v94(constB60)) | (~v123(constB60, bitIndex0)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7576,plain,
% 37.88/24.29 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~v123(constB60, bitIndex0)) | (~v94(constB60))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7575, 7574])).
% 37.88/24.29 tff(7577,plain,
% 37.88/24.29 (v84(constB60, bitIndex0) | (~v94(constB60))),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7576, 1319, 7570])).
% 37.88/24.29 tff(7578,plain,
% 37.88/24.29 (v84(constB60, bitIndex0)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7577, 7473])).
% 37.88/24.29 tff(7579,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7580,plain,
% 37.88/24.29 (((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0)) <=> ((~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7581,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0)))),
% 37.88/24.29 inference(monotonicity,[status(thm)],[7580])).
% 37.88/24.29 tff(7582,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0))),
% 37.88/24.29 inference(transitivity,[status(thm)],[7581, 7579])).
% 37.88/24.29 tff(7583,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7584,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex0)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7583, 7582])).
% 37.88/24.29 tff(7585,plain,
% 37.88/24.29 ((~v84(constB60, bitIndex0)) | v94(constB61) | v84(constB61, bitIndex0)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7584, 1337, 7504])).
% 37.88/24.29 tff(7586,plain,
% 37.88/24.29 ((~v84(constB60, bitIndex0)) | v84(constB61, bitIndex0)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7585, 7516])).
% 37.88/24.29 tff(7587,plain,
% 37.88/24.29 (v84(constB61, bitIndex0)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7586, 7578])).
% 37.88/24.29 tff(7588,plain,
% 37.88/24.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex2) | v116(constB61))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex2) | v116(constB61))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7589,plain,
% 37.88/24.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex2) | v116(constB61))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7590,plain,
% 37.88/24.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex2) | v116(constB61)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 37.88/24.29 tff(7591,plain,
% 37.88/24.29 (v116(constB61)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7590, 1832, 7587, 7556, 7525])).
% 37.88/24.29 tff(7592,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB61) | (~v116(constB61)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB61) | (~v116(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7593,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB61) | (~v116(constB61)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7594,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB61) | (~v116(constB61))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7593, 7592])).
% 37.88/24.29 tff(7595,plain,
% 37.88/24.29 (v110(constB61)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7594, 1843, 7591])).
% 37.88/24.29 tff(7596,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB61) | (~v110(constB61)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB61) | (~v110(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7597,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB61) | (~v110(constB61)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7598,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB61) | (~v110(constB61))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 37.88/24.29 tff(7599,plain,
% 37.88/24.29 (v109(constB61)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7598, 314, 7595])).
% 37.88/24.29 tff(7600,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB61) | (~v109(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB61) | (~v109(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7601,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB61) | (~v109(constB61)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7602,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB61) | (~v109(constB61))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7601, 7600])).
% 37.88/24.29 tff(7603,plain,
% 37.88/24.29 (v108(constB61)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7602, 325, 7599])).
% 37.88/24.29 tff(7604,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB61) | (~v108(constB61)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB61) | (~v108(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7605,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB61) | (~v108(constB61)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7606,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB61) | (~v108(constB61))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7605, 7604])).
% 37.88/24.29 tff(7607,plain,
% 37.88/24.29 (v107(constB61)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7606, 336, 7603])).
% 37.88/24.29 tff(7608,assumption,(v26(constB61)), introduced(assumption)).
% 37.88/24.29 tff(7609,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7610,plain,
% 37.88/24.29 ($false),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7609, 120, 7608])).
% 37.88/24.29 tff(7611,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 37.88/24.29 tff(7612,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | v106(constB61) | (~v107(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7613,plain,
% 37.88/24.29 ((v26(constB61) | (~v107(constB61)) | v106(constB61)) <=> (v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7614,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | v106(constB61) | (~v107(constB61))))),
% 37.88/24.29 inference(monotonicity,[status(thm)],[7613])).
% 37.88/24.29 tff(7615,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 37.88/24.29 inference(transitivity,[status(thm)],[7614, 7612])).
% 37.88/24.29 tff(7616,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7617,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 37.88/24.29 tff(7618,plain,
% 37.88/24.29 (v106(constB61) | (~v107(constB61))),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7617, 350, 7611])).
% 37.88/24.29 tff(7619,plain,
% 37.88/24.29 (v106(constB61)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7618, 7607])).
% 37.88/24.29 tff(7620,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB61) | (~v106(constB61)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB61) | (~v106(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7621,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB61) | (~v106(constB61)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7622,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB61) | (~v106(constB61))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7621, 7620])).
% 37.88/24.29 tff(7623,plain,
% 37.88/24.29 (v102(constB61)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7622, 362, 7619])).
% 37.88/24.29 tff(7624,plain,
% 37.88/24.29 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7625,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 37.88/24.29 tff(7626,plain,
% 37.88/24.29 (nextState(constB61, constB62)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 37.88/24.29 tff(7627,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7628,plain,
% 37.88/24.29 (((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7629,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))))),
% 37.88/24.29 inference(monotonicity,[status(thm)],[7628])).
% 37.88/24.29 tff(7630,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 37.88/24.29 inference(transitivity,[status(thm)],[7629, 7627])).
% 37.88/24.29 tff(7631,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7632,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 37.88/24.29 tff(7633,plain,
% 37.88/24.29 (v104(constB62) | (~v102(constB61))),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7632, 379, 7626])).
% 37.88/24.29 tff(7634,plain,
% 37.88/24.29 (v104(constB62)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7633, 7623])).
% 37.88/24.29 tff(7635,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7636,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7637,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 37.88/24.29 tff(7638,plain,
% 37.88/24.29 (~v98(constB62)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7637, 397, 7626, 7501])).
% 37.88/24.29 tff(7639,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7640,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7641,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 37.88/24.29 tff(7642,plain,
% 37.88/24.29 (v96(constB62) | v98(constB62)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7641, 411, 7626])).
% 37.88/24.29 tff(7643,plain,
% 37.88/24.29 (v96(constB62)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7642, 7638])).
% 37.88/24.29 tff(7644,plain,
% 37.88/24.29 (v1(constB62) <=> v1(constB62)),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7645,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 37.88/24.29 tff(7646,plain,
% 37.88/24.29 (v1(constB62)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7645, 7644])).
% 37.88/24.29 tff(7647,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7648,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7649,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7648, 7647])).
% 37.88/24.29 tff(7650,plain,
% 37.88/24.29 (v95(constB62) | (~v96(constB62))),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7649, 429, 7626, 7646])).
% 37.88/24.29 tff(7651,plain,
% 37.88/24.29 (v95(constB62)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7650, 7643])).
% 37.88/24.29 tff(7652,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7653,plain,
% 37.88/24.29 (((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62)) <=> ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7654,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62))))),
% 37.88/24.29 inference(monotonicity,[status(thm)],[7653])).
% 37.88/24.29 tff(7655,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 37.88/24.29 inference(transitivity,[status(thm)],[7654, 7652])).
% 37.88/24.29 tff(7656,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7657,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 37.88/24.29 tff(7658,plain,
% 37.88/24.29 (v94(constB62) | (~v95(constB62)) | (~v104(constB62))),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7657, 444, 7626])).
% 37.88/24.29 tff(7659,plain,
% 37.88/24.29 (v94(constB62) | (~v104(constB62))),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7658, 7651])).
% 37.88/24.29 tff(7660,plain,
% 37.88/24.29 (v94(constB62)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7659, 7634])).
% 37.88/24.29 tff(7661,plain,
% 37.88/24.29 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB61)) | v124(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB61)) | v124(constB61, bitIndex2))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7662,plain,
% 37.88/24.29 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB61)) | v124(constB61, bitIndex2))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7663,plain,
% 37.88/24.29 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB61)) | v124(constB61, bitIndex2)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 37.88/24.29 tff(7664,plain,
% 37.88/24.29 (v124(constB61, bitIndex2)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7663, 1918, 7591])).
% 37.88/24.29 tff(7665,plain,
% 37.88/24.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB61) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB61) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7666,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB61) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7667,plain,
% 37.88/24.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB61) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 37.88/24.29 tff(7668,plain,
% 37.88/24.29 ((~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7667, 477, 7611])).
% 37.88/24.29 tff(7669,plain,
% 37.88/24.29 (v121(constB61, bitIndex2)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7668, 7664])).
% 37.88/24.29 tff(7670,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7671,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7672,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 37.88/24.29 tff(7673,plain,
% 37.88/24.29 ((~v121(constB61, bitIndex2)) | v123(constB62, bitIndex2)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7672, 492, 7626])).
% 37.88/24.29 tff(7674,plain,
% 37.88/24.29 (v123(constB62, bitIndex2)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7673, 7669])).
% 37.88/24.29 tff(7675,plain,
% 37.88/24.29 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7676,plain,
% 37.88/24.29 ((v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2))) <=> (v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7677,plain,
% 37.88/24.29 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62))))),
% 37.88/24.29 inference(monotonicity,[status(thm)],[7676])).
% 37.88/24.29 tff(7678,plain,
% 37.88/24.29 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62)))),
% 37.88/24.29 inference(transitivity,[status(thm)],[7677, 7675])).
% 37.88/24.29 tff(7679,plain,
% 37.88/24.29 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7680,plain,
% 37.88/24.29 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)) | (~v94(constB62))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7679, 7678])).
% 37.88/24.29 tff(7681,plain,
% 37.88/24.29 (v84(constB62, bitIndex2) | (~v94(constB62))),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7680, 507, 7674])).
% 37.88/24.29 tff(7682,plain,
% 37.88/24.29 (v84(constB62, bitIndex2)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7681, 7660])).
% 37.88/24.29 tff(7683,plain,
% 37.88/24.29 ((~v1(constB63)) <=> (~v1(constB63))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7684,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 37.88/24.29 tff(7685,plain,
% 37.88/24.29 (~v1(constB63)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 37.88/24.29 tff(7686,plain,
% 37.88/24.29 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7687,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 37.88/24.29 tff(7688,plain,
% 37.88/24.29 (nextState(constB62, constB63)),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7687, 7686])).
% 37.88/24.29 tff(7689,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7690,plain,
% 37.88/24.29 (((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7691,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))))),
% 37.88/24.29 inference(monotonicity,[status(thm)],[7690])).
% 37.88/24.29 tff(7692,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 37.88/24.29 inference(transitivity,[status(thm)],[7691, 7689])).
% 37.88/24.29 tff(7693,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7694,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 37.88/24.29 tff(7695,plain,
% 37.88/24.29 (~v95(constB63)),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7694, 175, 7688, 7685])).
% 37.88/24.29 tff(7696,plain,
% 37.88/24.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 37.88/24.29 inference(rewrite,[status(thm)],[])).
% 37.88/24.29 tff(7697,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 37.88/24.29 inference(quant_inst,[status(thm)],[])).
% 37.88/24.29 tff(7698,plain,
% 37.88/24.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63))),
% 37.88/24.29 inference(modus_ponens,[status(thm)],[7697, 7696])).
% 37.88/24.29 tff(7699,plain,
% 37.88/24.29 (v95(constB63) | (~v94(constB63))),
% 37.88/24.29 inference(unit_resolution,[status(thm)],[7698, 192, 7688])).
% 37.88/24.30 tff(7700,plain,
% 37.88/24.30 (~v94(constB63)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7699, 7695])).
% 37.88/24.30 tff(7701,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7702,plain,
% 37.88/24.30 (((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2)) <=> ((~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7703,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2)))),
% 37.88/24.30 inference(monotonicity,[status(thm)],[7702])).
% 37.88/24.30 tff(7704,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2))),
% 37.88/24.30 inference(transitivity,[status(thm)],[7703, 7701])).
% 37.88/24.30 tff(7705,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7706,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex2)),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 37.88/24.30 tff(7707,plain,
% 37.88/24.30 ((~v84(constB62, bitIndex2)) | v94(constB63) | v84(constB63, bitIndex2)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7706, 543, 7688])).
% 37.88/24.30 tff(7708,plain,
% 37.88/24.30 ((~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7707, 7700])).
% 37.88/24.30 tff(7709,plain,
% 37.88/24.30 (v84(constB63, bitIndex2)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7708, 7682])).
% 37.88/24.30 tff(7710,plain,
% 37.88/24.30 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB61)) | (~v124(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB61)) | (~v124(constB61, bitIndex1)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7711,plain,
% 37.88/24.30 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB61)) | (~v124(constB61, bitIndex1)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7712,plain,
% 37.88/24.30 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB61)) | (~v124(constB61, bitIndex1))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 37.88/24.30 tff(7713,plain,
% 37.88/24.30 (~v124(constB61, bitIndex1)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7712, 1977, 7591])).
% 37.88/24.30 tff(7714,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7715,plain,
% 37.88/24.30 ((v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1))) <=> ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7716,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1)))),
% 37.88/24.30 inference(monotonicity,[status(thm)],[7715])).
% 37.88/24.30 tff(7717,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 37.88/24.30 inference(transitivity,[status(thm)],[7716, 7714])).
% 37.88/24.30 tff(7718,plain,
% 37.88/24.30 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7719,plain,
% 37.88/24.30 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1)),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7718, 7717])).
% 37.88/24.30 tff(7720,plain,
% 37.88/24.30 ((~v121(constB61, bitIndex1)) | v124(constB61, bitIndex1)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7719, 576, 7611])).
% 37.88/24.30 tff(7721,plain,
% 37.88/24.30 (~v121(constB61, bitIndex1)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7720, 7713])).
% 37.88/24.30 tff(7722,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7723,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7724,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7723, 7722])).
% 37.88/24.30 tff(7725,plain,
% 37.88/24.30 (v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1))),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7724, 594, 7626])).
% 37.88/24.30 tff(7726,plain,
% 37.88/24.30 (~v123(constB62, bitIndex1)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7725, 7721])).
% 37.88/24.30 tff(7727,plain,
% 37.88/24.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7728,plain,
% 37.88/24.30 (((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1)) <=> ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7729,plain,
% 37.88/24.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62))))),
% 37.88/24.30 inference(monotonicity,[status(thm)],[7728])).
% 37.88/24.30 tff(7730,plain,
% 37.88/24.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 37.88/24.30 inference(transitivity,[status(thm)],[7729, 7727])).
% 37.88/24.30 tff(7731,plain,
% 37.88/24.30 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7732,plain,
% 37.88/24.30 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7731, 7730])).
% 37.88/24.30 tff(7733,plain,
% 37.88/24.30 ((~v84(constB62, bitIndex1)) | (~v94(constB62))),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7732, 609, 7726])).
% 37.88/24.30 tff(7734,plain,
% 37.88/24.30 (~v84(constB62, bitIndex1)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7733, 7660])).
% 37.88/24.30 tff(7735,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7736,plain,
% 37.88/24.30 (((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1))) <=> (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7737,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1))))),
% 37.88/24.30 inference(monotonicity,[status(thm)],[7736])).
% 37.88/24.30 tff(7738,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 37.88/24.30 inference(transitivity,[status(thm)],[7737, 7735])).
% 37.88/24.30 tff(7739,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7740,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 37.88/24.30 tff(7741,plain,
% 37.88/24.30 (v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1))),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7740, 228, 7688])).
% 37.88/24.30 tff(7742,plain,
% 37.88/24.30 (v84(constB62, bitIndex1) | (~v84(constB63, bitIndex1))),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7741, 7700])).
% 37.88/24.30 tff(7743,plain,
% 37.88/24.30 (~v84(constB63, bitIndex1)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7742, 7734])).
% 37.88/24.30 tff(7744,plain,
% 37.88/24.30 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB61)) | (~v124(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB61)) | (~v124(constB61, bitIndex0)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7745,plain,
% 37.88/24.30 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB61)) | (~v124(constB61, bitIndex0)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7746,plain,
% 37.88/24.30 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB61)) | (~v124(constB61, bitIndex0))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 37.88/24.30 tff(7747,plain,
% 37.88/24.30 (~v124(constB61, bitIndex0)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7746, 2021, 7591])).
% 37.88/24.30 tff(7748,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7749,plain,
% 37.88/24.30 ((v26(constB61) | v124(constB61, bitIndex0) | (~v121(constB61, bitIndex0))) <=> ((~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7750,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB61) | v124(constB61, bitIndex0) | (~v121(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0)))),
% 37.88/24.30 inference(monotonicity,[status(thm)],[7749])).
% 37.88/24.30 tff(7751,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB61) | v124(constB61, bitIndex0) | (~v121(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0))),
% 37.88/24.30 inference(transitivity,[status(thm)],[7750, 7748])).
% 37.88/24.30 tff(7752,plain,
% 37.88/24.30 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB61) | v124(constB61, bitIndex0) | (~v121(constB61, bitIndex0)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7753,plain,
% 37.88/24.30 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB61, bitIndex0)) | v26(constB61) | v124(constB61, bitIndex0)),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7752, 7751])).
% 37.88/24.30 tff(7754,plain,
% 37.88/24.30 ((~v121(constB61, bitIndex0)) | v124(constB61, bitIndex0)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7753, 650, 7611])).
% 37.88/24.30 tff(7755,plain,
% 37.88/24.30 (~v121(constB61, bitIndex0)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7754, 7747])).
% 37.88/24.30 tff(7756,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7757,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7758,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7757, 7756])).
% 37.88/24.30 tff(7759,plain,
% 37.88/24.30 (v121(constB61, bitIndex0) | (~v123(constB62, bitIndex0))),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7758, 668, 7626])).
% 37.88/24.30 tff(7760,plain,
% 37.88/24.30 (~v123(constB62, bitIndex0)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7759, 7755])).
% 37.88/24.30 tff(7761,plain,
% 37.88/24.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7762,plain,
% 37.88/24.30 (((~v84(constB62, bitIndex0)) | (~v94(constB62)) | v123(constB62, bitIndex0)) <=> ((~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7763,plain,
% 37.88/24.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~v94(constB62)) | v123(constB62, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62))))),
% 37.88/24.30 inference(monotonicity,[status(thm)],[7762])).
% 37.88/24.30 tff(7764,plain,
% 37.88/24.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~v94(constB62)) | v123(constB62, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62)))),
% 37.88/24.30 inference(transitivity,[status(thm)],[7763, 7761])).
% 37.88/24.30 tff(7765,plain,
% 37.88/24.30 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~v94(constB62)) | v123(constB62, bitIndex0))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7766,plain,
% 37.88/24.30 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | v123(constB62, bitIndex0) | (~v94(constB62))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7765, 7764])).
% 37.88/24.30 tff(7767,plain,
% 37.88/24.30 ((~v84(constB62, bitIndex0)) | (~v94(constB62))),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7766, 683, 7760])).
% 37.88/24.30 tff(7768,plain,
% 37.88/24.30 (~v84(constB62, bitIndex0)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7767, 7660])).
% 37.88/24.30 tff(7769,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7770,plain,
% 37.88/24.30 (((~nextState(constB62, constB63)) | v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0))) <=> (v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7771,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0))))),
% 37.88/24.30 inference(monotonicity,[status(thm)],[7770])).
% 37.88/24.30 tff(7772,plain,
% 37.88/24.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0)))),
% 37.88/24.30 inference(transitivity,[status(thm)],[7771, 7769])).
% 37.88/24.30 tff(7773,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7774,plain,
% 37.88/24.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex0))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7773, 7772])).
% 37.88/24.30 tff(7775,plain,
% 37.88/24.30 (v84(constB62, bitIndex0) | v94(constB63) | (~v84(constB63, bitIndex0))),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7774, 249, 7688])).
% 37.88/24.30 tff(7776,plain,
% 37.88/24.30 (v84(constB62, bitIndex0) | (~v84(constB63, bitIndex0))),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7775, 7700])).
% 37.88/24.30 tff(7777,plain,
% 37.88/24.30 (~v84(constB63, bitIndex0)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7776, 7768])).
% 37.88/24.30 tff(7778,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7779,plain,
% 37.88/24.30 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7780,plain,
% 37.88/24.30 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63)),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7779, 7778])).
% 37.88/24.30 tff(7781,plain,
% 37.88/24.30 (v172(constB63)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7780, 710, 7777, 7743, 7709])).
% 37.88/24.30 tff(7782,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB63) | (~v172(constB63)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB63) | (~v172(constB63)))),
% 37.88/24.30 inference(rewrite,[status(thm)],[])).
% 37.88/24.30 tff(7783,plain,
% 37.88/24.30 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB63) | (~v172(constB63)))),
% 37.88/24.30 inference(quant_inst,[status(thm)],[])).
% 37.88/24.30 tff(7784,plain,
% 37.88/24.30 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB63) | (~v172(constB63))),
% 37.88/24.30 inference(modus_ponens,[status(thm)],[7783, 7782])).
% 37.88/24.30 tff(7785,plain,
% 37.88/24.30 (v109(constB63)),
% 37.88/24.30 inference(unit_resolution,[status(thm)],[7784, 764, 7781])).
% 37.88/24.30 tff(7786,plain,
% 37.88/24.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB63) | (~v109(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB63) | (~v109(constB63)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7787,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB63) | (~v109(constB63)))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7788,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB63) | (~v109(constB63))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7787, 7786])).
% 37.88/24.31 tff(7789,plain,
% 37.88/24.31 (v108(constB63)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7788, 325, 7785])).
% 37.88/24.31 tff(7790,plain,
% 37.88/24.31 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB63) | (~v108(constB63)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB63) | (~v108(constB63)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7791,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB63) | (~v108(constB63)))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7792,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB63) | (~v108(constB63))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7791, 7790])).
% 37.88/24.31 tff(7793,plain,
% 37.88/24.31 (v107(constB63)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7792, 336, 7789])).
% 37.88/24.31 tff(7794,assumption,(v26(constB63)), introduced(assumption)).
% 37.88/24.31 tff(7795,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7796,plain,
% 37.88/24.31 ($false),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7795, 120, 7794])).
% 37.88/24.31 tff(7797,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 37.88/24.31 tff(7798,plain,
% 37.88/24.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | (~v107(constB63)) | v106(constB63))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7799,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7800,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | (~v107(constB63)) | v106(constB63)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 37.88/24.31 tff(7801,plain,
% 37.88/24.31 ((~v107(constB63)) | v106(constB63)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7800, 350, 7797])).
% 37.88/24.31 tff(7802,plain,
% 37.88/24.31 (v106(constB63)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7801, 7793])).
% 37.88/24.31 tff(7803,plain,
% 37.88/24.31 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB63) | (~v106(constB63)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB63) | (~v106(constB63)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7804,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB63) | (~v106(constB63)))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7805,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB63) | (~v106(constB63))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7804, 7803])).
% 37.88/24.31 tff(7806,plain,
% 37.88/24.31 (v102(constB63)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7805, 362, 7802])).
% 37.88/24.31 tff(7807,plain,
% 37.88/24.31 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7808,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 37.88/24.31 tff(7809,plain,
% 37.88/24.31 (nextState(constB63, constB64)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7808, 7807])).
% 37.88/24.31 tff(7810,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7811,plain,
% 37.88/24.31 (((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7812,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))))),
% 37.88/24.31 inference(monotonicity,[status(thm)],[7811])).
% 37.88/24.31 tff(7813,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 37.88/24.31 inference(transitivity,[status(thm)],[7812, 7810])).
% 37.88/24.31 tff(7814,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7815,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 37.88/24.31 tff(7816,plain,
% 37.88/24.31 (v104(constB64) | (~v102(constB63))),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7815, 379, 7809])).
% 37.88/24.31 tff(7817,plain,
% 37.88/24.31 (v104(constB64)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7816, 7806])).
% 37.88/24.31 tff(7818,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7819,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7820,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 37.88/24.31 tff(7821,plain,
% 37.88/24.31 (~v98(constB64)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7820, 397, 7809, 7685])).
% 37.88/24.31 tff(7822,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7823,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7824,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 37.88/24.31 tff(7825,plain,
% 37.88/24.31 (v96(constB64) | v98(constB64)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7824, 411, 7809])).
% 37.88/24.31 tff(7826,plain,
% 37.88/24.31 (v96(constB64)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7825, 7821])).
% 37.88/24.31 tff(7827,plain,
% 37.88/24.31 (v1(constB64) <=> v1(constB64)),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7828,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 37.88/24.31 tff(7829,plain,
% 37.88/24.31 (v1(constB64)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7828, 7827])).
% 37.88/24.31 tff(7830,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7831,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7832,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7831, 7830])).
% 37.88/24.31 tff(7833,plain,
% 37.88/24.31 (v95(constB64) | (~v96(constB64))),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7832, 429, 7809, 7829])).
% 37.88/24.31 tff(7834,plain,
% 37.88/24.31 (v95(constB64)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7833, 7826])).
% 37.88/24.31 tff(7835,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7836,plain,
% 37.88/24.31 (((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64)) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7837,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64))))),
% 37.88/24.31 inference(monotonicity,[status(thm)],[7836])).
% 37.88/24.31 tff(7838,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 37.88/24.31 inference(transitivity,[status(thm)],[7837, 7835])).
% 37.88/24.31 tff(7839,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7840,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 37.88/24.31 tff(7841,plain,
% 37.88/24.31 (v94(constB64) | (~v95(constB64)) | (~v104(constB64))),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7840, 444, 7809])).
% 37.88/24.31 tff(7842,plain,
% 37.88/24.31 (v94(constB64) | (~v104(constB64))),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7841, 7834])).
% 37.88/24.31 tff(7843,plain,
% 37.88/24.31 (v94(constB64)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7842, 7817])).
% 37.88/24.31 tff(7844,plain,
% 37.88/24.31 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB63)) | v124(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB63)) | v124(constB63, bitIndex2))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7845,plain,
% 37.88/24.31 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB63)) | v124(constB63, bitIndex2))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7846,plain,
% 37.88/24.31 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB63)) | v124(constB63, bitIndex2)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7845, 7844])).
% 37.88/24.31 tff(7847,plain,
% 37.88/24.31 (v124(constB63, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7846, 724, 7781])).
% 37.88/24.31 tff(7848,plain,
% 37.88/24.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB63) | (~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB63) | (~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7849,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB63) | (~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7850,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB63) | (~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7849, 7848])).
% 37.88/24.31 tff(7851,plain,
% 37.88/24.31 ((~v124(constB63, bitIndex2)) | v121(constB63, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7850, 477, 7797])).
% 37.88/24.31 tff(7852,plain,
% 37.88/24.31 (v121(constB63, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7851, 7847])).
% 37.88/24.31 tff(7853,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7854,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7855,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7854, 7853])).
% 37.88/24.31 tff(7856,plain,
% 37.88/24.31 ((~v121(constB63, bitIndex2)) | v123(constB64, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7855, 492, 7809])).
% 37.88/24.31 tff(7857,plain,
% 37.88/24.31 (v123(constB64, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7856, 7852])).
% 37.88/24.31 tff(7858,plain,
% 37.88/24.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7859,plain,
% 37.88/24.31 ((v84(constB64, bitIndex2) | (~v94(constB64)) | (~v123(constB64, bitIndex2))) <=> (v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7860,plain,
% 37.88/24.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v94(constB64)) | (~v123(constB64, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64))))),
% 37.88/24.31 inference(monotonicity,[status(thm)],[7859])).
% 37.88/24.31 tff(7861,plain,
% 37.88/24.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v94(constB64)) | (~v123(constB64, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64)))),
% 37.88/24.31 inference(transitivity,[status(thm)],[7860, 7858])).
% 37.88/24.31 tff(7862,plain,
% 37.88/24.31 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~v94(constB64)) | (~v123(constB64, bitIndex2)))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7863,plain,
% 37.88/24.31 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)) | (~v94(constB64))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7862, 7861])).
% 37.88/24.31 tff(7864,plain,
% 37.88/24.31 (v84(constB64, bitIndex2) | (~v94(constB64))),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7863, 507, 7857])).
% 37.88/24.31 tff(7865,plain,
% 37.88/24.31 (v84(constB64, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7864, 7843])).
% 37.88/24.31 tff(7866,plain,
% 37.88/24.31 ((~v1(constB65)) <=> (~v1(constB65))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7867,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 37.88/24.31 tff(7868,plain,
% 37.88/24.31 (~v1(constB65)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 37.88/24.31 tff(7869,plain,
% 37.88/24.31 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7870,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 37.88/24.31 tff(7871,plain,
% 37.88/24.31 (nextState(constB64, constB65)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 37.88/24.31 tff(7872,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7873,plain,
% 37.88/24.31 (((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7874,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))))),
% 37.88/24.31 inference(monotonicity,[status(thm)],[7873])).
% 37.88/24.31 tff(7875,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 37.88/24.31 inference(transitivity,[status(thm)],[7874, 7872])).
% 37.88/24.31 tff(7876,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7877,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7876, 7875])).
% 37.88/24.31 tff(7878,plain,
% 37.88/24.31 (~v95(constB65)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7877, 175, 7871, 7868])).
% 37.88/24.31 tff(7879,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7880,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7881,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65))),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7880, 7879])).
% 37.88/24.31 tff(7882,plain,
% 37.88/24.31 (v95(constB65) | (~v94(constB65))),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7881, 192, 7871])).
% 37.88/24.31 tff(7883,plain,
% 37.88/24.31 (~v94(constB65)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7882, 7878])).
% 37.88/24.31 tff(7884,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7885,plain,
% 37.88/24.31 (((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2)) <=> ((~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7886,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2)))),
% 37.88/24.31 inference(monotonicity,[status(thm)],[7885])).
% 37.88/24.31 tff(7887,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2))),
% 37.88/24.31 inference(transitivity,[status(thm)],[7886, 7884])).
% 37.88/24.31 tff(7888,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7889,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex2)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7888, 7887])).
% 37.88/24.31 tff(7890,plain,
% 37.88/24.31 ((~v84(constB64, bitIndex2)) | v94(constB65) | v84(constB65, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7889, 543, 7871])).
% 37.88/24.31 tff(7891,plain,
% 37.88/24.31 ((~v84(constB64, bitIndex2)) | v84(constB65, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7890, 7883])).
% 37.88/24.31 tff(7892,plain,
% 37.88/24.31 (v84(constB65, bitIndex2)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7891, 7865])).
% 37.88/24.31 tff(7893,plain,
% 37.88/24.31 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB63)) | v124(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB63)) | v124(constB63, bitIndex1))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7894,plain,
% 37.88/24.31 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB63)) | v124(constB63, bitIndex1))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7895,plain,
% 37.88/24.31 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB63)) | v124(constB63, bitIndex1)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 37.88/24.31 tff(7896,plain,
% 37.88/24.31 (v124(constB63, bitIndex1)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7895, 861, 7781])).
% 37.88/24.31 tff(7897,plain,
% 37.88/24.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7898,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7899,plain,
% 37.88/24.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 37.88/24.31 tff(7900,plain,
% 37.88/24.31 ((~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7899, 875, 7797])).
% 37.88/24.31 tff(7901,plain,
% 37.88/24.31 (v121(constB63, bitIndex1)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7900, 7896])).
% 37.88/24.31 tff(7902,plain,
% 37.88/24.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7903,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))),
% 37.88/24.31 inference(quant_inst,[status(thm)],[])).
% 37.88/24.31 tff(7904,plain,
% 37.88/24.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1)),
% 37.88/24.31 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 37.88/24.31 tff(7905,plain,
% 37.88/24.31 ((~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7904, 890, 7809])).
% 37.88/24.31 tff(7906,plain,
% 37.88/24.31 (v123(constB64, bitIndex1)),
% 37.88/24.31 inference(unit_resolution,[status(thm)],[7905, 7901])).
% 37.88/24.31 tff(7907,plain,
% 37.88/24.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7908,plain,
% 37.88/24.31 ((v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1))) <=> (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 37.88/24.31 inference(rewrite,[status(thm)],[])).
% 37.88/24.31 tff(7909,plain,
% 37.88/24.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64))))),
% 37.88/24.32 inference(monotonicity,[status(thm)],[7908])).
% 37.88/24.32 tff(7910,plain,
% 37.88/24.32 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 37.88/24.32 inference(transitivity,[status(thm)],[7909, 7907])).
% 37.88/24.32 tff(7911,plain,
% 37.88/24.32 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7912,plain,
% 37.88/24.32 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7911, 7910])).
% 37.88/24.32 tff(7913,plain,
% 37.88/24.32 (v84(constB64, bitIndex1) | (~v94(constB64))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7912, 905, 7906])).
% 37.88/24.32 tff(7914,plain,
% 37.88/24.32 (v84(constB64, bitIndex1)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7913, 7843])).
% 37.88/24.32 tff(7915,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7916,plain,
% 37.88/24.32 (((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1)) <=> ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7917,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1)))),
% 37.88/24.32 inference(monotonicity,[status(thm)],[7916])).
% 37.88/24.32 tff(7918,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 37.88/24.32 inference(transitivity,[status(thm)],[7917, 7915])).
% 37.88/24.32 tff(7919,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7920,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1)),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7919, 7918])).
% 37.88/24.32 tff(7921,plain,
% 37.88/24.32 ((~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7920, 923, 7871])).
% 37.88/24.32 tff(7922,plain,
% 37.88/24.32 ((~v84(constB64, bitIndex1)) | v84(constB65, bitIndex1)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7921, 7883])).
% 37.88/24.32 tff(7923,plain,
% 37.88/24.32 (v84(constB65, bitIndex1)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7922, 7914])).
% 37.88/24.32 tff(7924,plain,
% 37.88/24.32 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB63)) | (~v124(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB63)) | (~v124(constB63, bitIndex0)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7925,plain,
% 37.88/24.32 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB63)) | (~v124(constB63, bitIndex0)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7926,plain,
% 37.88/24.32 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB63)) | (~v124(constB63, bitIndex0))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7925, 7924])).
% 37.88/24.32 tff(7927,plain,
% 37.88/24.32 (~v124(constB63, bitIndex0)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7926, 942, 7781])).
% 37.88/24.32 tff(7928,plain,
% 37.88/24.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7929,plain,
% 37.88/24.32 ((v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0))) <=> ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7930,plain,
% 37.88/24.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0)))),
% 37.88/24.32 inference(monotonicity,[status(thm)],[7929])).
% 37.88/24.32 tff(7931,plain,
% 37.88/24.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 37.88/24.32 inference(transitivity,[status(thm)],[7930, 7928])).
% 37.88/24.32 tff(7932,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7933,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0)),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 37.88/24.32 tff(7934,plain,
% 37.88/24.32 ((~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7933, 650, 7797])).
% 37.88/24.32 tff(7935,plain,
% 37.88/24.32 (~v121(constB63, bitIndex0)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7934, 7927])).
% 37.88/24.32 tff(7936,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7937,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7938,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 37.88/24.32 tff(7939,plain,
% 37.88/24.32 (v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7938, 668, 7809])).
% 37.88/24.32 tff(7940,plain,
% 37.88/24.32 (~v123(constB64, bitIndex0)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7939, 7935])).
% 37.88/24.32 tff(7941,plain,
% 37.88/24.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7942,plain,
% 37.88/24.32 (((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0)) <=> ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7943,plain,
% 37.88/24.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64))))),
% 37.88/24.32 inference(monotonicity,[status(thm)],[7942])).
% 37.88/24.32 tff(7944,plain,
% 37.88/24.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 37.88/24.32 inference(transitivity,[status(thm)],[7943, 7941])).
% 37.88/24.32 tff(7945,plain,
% 37.88/24.32 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7946,plain,
% 37.88/24.32 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 37.88/24.32 tff(7947,plain,
% 37.88/24.32 ((~v84(constB64, bitIndex0)) | (~v94(constB64))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7946, 683, 7940])).
% 37.88/24.32 tff(7948,plain,
% 37.88/24.32 (~v84(constB64, bitIndex0)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7947, 7843])).
% 37.88/24.32 tff(7949,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7950,plain,
% 37.88/24.32 (((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0))) <=> (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7951,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0))))),
% 37.88/24.32 inference(monotonicity,[status(thm)],[7950])).
% 37.88/24.32 tff(7952,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 37.88/24.32 inference(transitivity,[status(thm)],[7951, 7949])).
% 37.88/24.32 tff(7953,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7954,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 37.88/24.32 tff(7955,plain,
% 37.88/24.32 (v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7954, 249, 7871])).
% 37.88/24.32 tff(7956,plain,
% 37.88/24.32 (v84(constB64, bitIndex0) | (~v84(constB65, bitIndex0))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7955, 7883])).
% 37.88/24.32 tff(7957,plain,
% 37.88/24.32 (~v84(constB65, bitIndex0)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7956, 7948])).
% 37.88/24.32 tff(7958,plain,
% 37.88/24.32 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | (~v84(constB65, bitIndex2)) | v119(constB65))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | (~v84(constB65, bitIndex2)) | v119(constB65))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7959,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | (~v84(constB65, bitIndex2)) | v119(constB65))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7960,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | (~v84(constB65, bitIndex2)) | v119(constB65)),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7959, 7958])).
% 37.88/24.32 tff(7961,plain,
% 37.88/24.32 (v119(constB65)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7960, 986, 7957, 7923, 7892])).
% 37.88/24.32 tff(7962,plain,
% 37.88/24.32 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB65) | (~v119(constB65)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB65) | (~v119(constB65)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7963,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB65) | (~v119(constB65)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7964,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB65) | (~v119(constB65))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7963, 7962])).
% 37.88/24.32 tff(7965,plain,
% 37.88/24.32 (v107(constB65)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7964, 997, 7961])).
% 37.88/24.32 tff(7966,assumption,(v26(constB65)), introduced(assumption)).
% 37.88/24.32 tff(7967,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7968,plain,
% 37.88/24.32 ($false),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7967, 120, 7966])).
% 37.88/24.32 tff(7969,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 37.88/24.32 tff(7970,plain,
% 37.88/24.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB65) | (~v107(constB65)) | v106(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB65) | (~v107(constB65)) | v106(constB65))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7971,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB65) | (~v107(constB65)) | v106(constB65))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7972,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB65) | (~v107(constB65)) | v106(constB65)),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7971, 7970])).
% 37.88/24.32 tff(7973,plain,
% 37.88/24.32 ((~v107(constB65)) | v106(constB65)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7972, 350, 7969])).
% 37.88/24.32 tff(7974,plain,
% 37.88/24.32 (v106(constB65)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7973, 7965])).
% 37.88/24.32 tff(7975,plain,
% 37.88/24.32 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB65) | (~v106(constB65)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB65) | (~v106(constB65)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7976,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB65) | (~v106(constB65)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7977,plain,
% 37.88/24.32 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB65) | (~v106(constB65))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7976, 7975])).
% 37.88/24.32 tff(7978,plain,
% 37.88/24.32 (v102(constB65)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7977, 362, 7974])).
% 37.88/24.32 tff(7979,plain,
% 37.88/24.32 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7980,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 37.88/24.32 tff(7981,plain,
% 37.88/24.32 (nextState(constB65, constB66)),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7980, 7979])).
% 37.88/24.32 tff(7982,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7983,plain,
% 37.88/24.32 (((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66)) <=> ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7984,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65))))),
% 37.88/24.32 inference(monotonicity,[status(thm)],[7983])).
% 37.88/24.32 tff(7985,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 37.88/24.32 inference(transitivity,[status(thm)],[7984, 7982])).
% 37.88/24.32 tff(7986,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7987,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 37.88/24.32 tff(7988,plain,
% 37.88/24.32 (v104(constB66) | (~v102(constB65))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7987, 379, 7981])).
% 37.88/24.32 tff(7989,plain,
% 37.88/24.32 (v104(constB66)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7988, 7978])).
% 37.88/24.32 tff(7990,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7991,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7992,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7991, 7990])).
% 37.88/24.32 tff(7993,plain,
% 37.88/24.32 (~v98(constB66)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7992, 397, 7981, 7868])).
% 37.88/24.32 tff(7994,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(7995,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(7996,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB65, constB66)) | v96(constB66) | v98(constB66)),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[7995, 7994])).
% 37.88/24.32 tff(7997,plain,
% 37.88/24.32 (v96(constB66) | v98(constB66)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7996, 411, 7981])).
% 37.88/24.32 tff(7998,plain,
% 37.88/24.32 (v96(constB66)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[7997, 7993])).
% 37.88/24.32 tff(7999,plain,
% 37.88/24.32 (v1(constB66) <=> v1(constB66)),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(8000,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 37.88/24.32 tff(8001,plain,
% 37.88/24.32 (v1(constB66)),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 37.88/24.32 tff(8002,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(8003,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(8004,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[8003, 8002])).
% 37.88/24.32 tff(8005,plain,
% 37.88/24.32 (v95(constB66) | (~v96(constB66))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[8004, 429, 7981, 8001])).
% 37.88/24.32 tff(8006,plain,
% 37.88/24.32 (v95(constB66)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[8005, 7998])).
% 37.88/24.32 tff(8007,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(8008,plain,
% 37.88/24.32 (((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66)) <=> ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(8009,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66))))),
% 37.88/24.32 inference(monotonicity,[status(thm)],[8008])).
% 37.88/24.32 tff(8010,plain,
% 37.88/24.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 37.88/24.32 inference(transitivity,[status(thm)],[8009, 8007])).
% 37.88/24.32 tff(8011,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(8012,plain,
% 37.88/24.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[8011, 8010])).
% 37.88/24.32 tff(8013,plain,
% 37.88/24.32 (v94(constB66) | (~v95(constB66)) | (~v104(constB66))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[8012, 444, 7981])).
% 37.88/24.32 tff(8014,plain,
% 37.88/24.32 (v94(constB66) | (~v104(constB66))),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[8013, 8006])).
% 37.88/24.32 tff(8015,plain,
% 37.88/24.32 (v94(constB66)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[8014, 7989])).
% 37.88/24.32 tff(8016,plain,
% 37.88/24.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB65, bitIndex2)) | (~v115(constB65)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(8017,plain,
% 37.88/24.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v115(constB65)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(8018,plain,
% 37.88/24.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB65, bitIndex2)) | (~v115(constB65))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 37.88/24.32 tff(8019,plain,
% 37.88/24.32 (~v115(constB65)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[8018, 1058, 7892])).
% 37.88/24.32 tff(8020,plain,
% 37.88/24.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v116(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB65, bitIndex2)) | (~v116(constB65)))),
% 37.88/24.32 inference(rewrite,[status(thm)],[])).
% 37.88/24.32 tff(8021,plain,
% 37.88/24.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v116(constB65)))),
% 37.88/24.32 inference(quant_inst,[status(thm)],[])).
% 37.88/24.32 tff(8022,plain,
% 37.88/24.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB65, bitIndex2)) | (~v116(constB65))),
% 37.88/24.32 inference(modus_ponens,[status(thm)],[8021, 8020])).
% 37.88/24.32 tff(8023,plain,
% 37.88/24.32 (~v116(constB65)),
% 37.88/24.32 inference(unit_resolution,[status(thm)],[8022, 1069, 7892])).
% 37.88/24.32 tff(8024,plain,
% 37.88/24.32 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB65)) | (~v84(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB65)) | (~v84(constB65, bitIndex1)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8025,plain,
% 37.88/24.33 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB65)) | (~v84(constB65, bitIndex1)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8026,plain,
% 37.88/24.33 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB65)) | (~v84(constB65, bitIndex1))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 37.88/24.33 tff(8027,plain,
% 37.88/24.33 (~v113(constB65)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8026, 1083, 7923])).
% 37.88/24.33 tff(8028,plain,
% 37.88/24.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v118(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v118(constB65)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8029,plain,
% 37.88/24.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v118(constB65)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8030,plain,
% 37.88/24.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v118(constB65))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8029, 8028])).
% 37.88/24.33 tff(8031,plain,
% 37.88/24.33 (~v118(constB65)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8030, 1094, 7923])).
% 37.88/24.33 tff(8032,plain,
% 37.88/24.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v172(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v172(constB65)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8033,plain,
% 37.88/24.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v172(constB65)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8034,plain,
% 37.88/24.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v172(constB65))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 37.88/24.33 tff(8035,plain,
% 37.88/24.33 (~v172(constB65)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8034, 1105, 7923])).
% 37.88/24.33 tff(8036,plain,
% 37.88/24.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v145(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v145(constB65)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8037,plain,
% 37.88/24.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v145(constB65)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8038,plain,
% 37.88/24.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v145(constB65))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 37.88/24.33 tff(8039,plain,
% 37.88/24.33 (~v145(constB65)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8038, 1116, 7923])).
% 37.88/24.33 tff(8040,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8041,plain,
% 37.88/24.33 ((v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex2))) <=> (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8042,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2))))),
% 37.88/24.33 inference(monotonicity,[status(thm)],[8041])).
% 37.88/24.33 tff(8043,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2)))),
% 37.88/24.33 inference(transitivity,[status(thm)],[8042, 8040])).
% 37.88/24.33 tff(8044,plain,
% 37.88/24.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex2)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8045,plain,
% 37.88/24.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex2))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 37.88/24.33 tff(8046,plain,
% 37.88/24.33 (~v124(constB65, bitIndex2)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8045, 1130, 8039, 8035, 8031, 8027, 8023, 8019])).
% 37.88/24.33 tff(8047,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8048,plain,
% 37.88/24.33 ((v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2))) <=> ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8049,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2)))),
% 37.88/24.33 inference(monotonicity,[status(thm)],[8048])).
% 37.88/24.33 tff(8050,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 37.88/24.33 inference(transitivity,[status(thm)],[8049, 8047])).
% 37.88/24.33 tff(8051,plain,
% 37.88/24.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8052,plain,
% 37.88/24.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2)),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8051, 8050])).
% 37.88/24.33 tff(8053,plain,
% 37.88/24.33 ((~v121(constB65, bitIndex2)) | v124(constB65, bitIndex2)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8052, 1147, 7969])).
% 37.88/24.33 tff(8054,plain,
% 37.88/24.33 (~v121(constB65, bitIndex2)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8053, 8046])).
% 37.88/24.33 tff(8055,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8056,plain,
% 37.88/24.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8057,plain,
% 37.88/24.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8056, 8055])).
% 37.88/24.33 tff(8058,plain,
% 37.88/24.33 (v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2))),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8057, 1165, 7981])).
% 37.88/24.33 tff(8059,plain,
% 37.88/24.33 (~v123(constB66, bitIndex2)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8058, 8054])).
% 37.88/24.33 tff(8060,plain,
% 37.88/24.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8061,plain,
% 37.88/24.33 (((~v84(constB66, bitIndex2)) | (~v94(constB66)) | v123(constB66, bitIndex2)) <=> ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8062,plain,
% 37.88/24.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | (~v94(constB66)) | v123(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66))))),
% 37.88/24.33 inference(monotonicity,[status(thm)],[8061])).
% 37.88/24.33 tff(8063,plain,
% 37.88/24.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | (~v94(constB66)) | v123(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 37.88/24.33 inference(transitivity,[status(thm)],[8062, 8060])).
% 37.88/24.33 tff(8064,plain,
% 37.88/24.33 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | (~v94(constB66)) | v123(constB66, bitIndex2))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8065,plain,
% 37.88/24.33 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8064, 8063])).
% 37.88/24.33 tff(8066,plain,
% 37.88/24.33 ((~v84(constB66, bitIndex2)) | (~v94(constB66))),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8065, 1180, 8059])).
% 37.88/24.33 tff(8067,plain,
% 37.88/24.33 (~v84(constB66, bitIndex2)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8066, 8015])).
% 37.88/24.33 tff(8068,plain,
% 37.88/24.33 ((~v1(constB67)) <=> (~v1(constB67))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8069,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 37.88/24.33 tff(8070,plain,
% 37.88/24.33 (~v1(constB67)),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 37.88/24.33 tff(8071,plain,
% 37.88/24.33 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8072,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 37.88/24.33 tff(8073,plain,
% 37.88/24.33 (nextState(constB66, constB67)),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8072, 8071])).
% 37.88/24.33 tff(8074,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8075,plain,
% 37.88/24.33 (((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8076,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))))),
% 37.88/24.33 inference(monotonicity,[status(thm)],[8075])).
% 37.88/24.33 tff(8077,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 37.88/24.33 inference(transitivity,[status(thm)],[8076, 8074])).
% 37.88/24.33 tff(8078,plain,
% 37.88/24.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8079,plain,
% 37.88/24.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 37.88/24.33 tff(8080,plain,
% 37.88/24.33 (~v95(constB67)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8079, 175, 8073, 8070])).
% 37.88/24.33 tff(8081,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8082,plain,
% 37.88/24.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8083,plain,
% 37.88/24.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 37.88/24.33 tff(8084,plain,
% 37.88/24.33 (v95(constB67) | (~v94(constB67))),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8083, 192, 8073])).
% 37.88/24.33 tff(8085,plain,
% 37.88/24.33 (~v94(constB67)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8084, 8080])).
% 37.88/24.33 tff(8086,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8087,plain,
% 37.88/24.33 (((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2))) <=> (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8088,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2))))),
% 37.88/24.33 inference(monotonicity,[status(thm)],[8087])).
% 37.88/24.33 tff(8089,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 37.88/24.33 inference(transitivity,[status(thm)],[8088, 8086])).
% 37.88/24.33 tff(8090,plain,
% 37.88/24.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8091,plain,
% 37.88/24.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 37.88/24.33 tff(8092,plain,
% 37.88/24.33 (v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2))),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8091, 207, 8073])).
% 37.88/24.33 tff(8093,plain,
% 37.88/24.33 (v84(constB66, bitIndex2) | (~v84(constB67, bitIndex2))),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8092, 8085])).
% 37.88/24.33 tff(8094,plain,
% 37.88/24.33 (~v84(constB67, bitIndex2)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8093, 8067])).
% 37.88/24.33 tff(8095,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8096,plain,
% 37.88/24.33 ((v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex1))) <=> (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1)))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8097,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1))))),
% 37.88/24.33 inference(monotonicity,[status(thm)],[8096])).
% 37.88/24.33 tff(8098,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1)))),
% 37.88/24.33 inference(transitivity,[status(thm)],[8097, 8095])).
% 37.88/24.33 tff(8099,plain,
% 37.88/24.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | (~v124(constB65, bitIndex1)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8100,plain,
% 37.88/24.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB65) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65) | (~v124(constB65, bitIndex1))),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 37.88/24.33 tff(8101,plain,
% 37.88/24.33 (~v124(constB65, bitIndex1)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8100, 1225, 8039, 8035, 8031, 8027, 8023, 8019])).
% 37.88/24.33 tff(8102,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8103,plain,
% 37.88/24.33 ((v26(constB65) | v124(constB65, bitIndex1) | (~v121(constB65, bitIndex1))) <=> ((~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1))),
% 37.88/24.33 inference(rewrite,[status(thm)],[])).
% 37.88/24.33 tff(8104,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB65) | v124(constB65, bitIndex1) | (~v121(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1)))),
% 37.88/24.33 inference(monotonicity,[status(thm)],[8103])).
% 37.88/24.33 tff(8105,plain,
% 37.88/24.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB65) | v124(constB65, bitIndex1) | (~v121(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1))),
% 37.88/24.33 inference(transitivity,[status(thm)],[8104, 8102])).
% 37.88/24.33 tff(8106,plain,
% 37.88/24.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB65) | v124(constB65, bitIndex1) | (~v121(constB65, bitIndex1)))),
% 37.88/24.33 inference(quant_inst,[status(thm)],[])).
% 37.88/24.33 tff(8107,plain,
% 37.88/24.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB65, bitIndex1)) | v26(constB65) | v124(constB65, bitIndex1)),
% 37.88/24.33 inference(modus_ponens,[status(thm)],[8106, 8105])).
% 37.88/24.33 tff(8108,plain,
% 37.88/24.33 ((~v121(constB65, bitIndex1)) | v124(constB65, bitIndex1)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8107, 576, 7969])).
% 37.88/24.33 tff(8109,plain,
% 37.88/24.33 (~v121(constB65, bitIndex1)),
% 37.88/24.33 inference(unit_resolution,[status(thm)],[8108, 8101])).
% 37.88/24.33 tff(8110,plain,
% 37.88/24.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8111,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8112,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8111, 8110])).
% 37.88/24.34 tff(8113,plain,
% 37.88/24.34 (v121(constB65, bitIndex1) | (~v123(constB66, bitIndex1))),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8112, 594, 7981])).
% 37.88/24.34 tff(8114,plain,
% 37.88/24.34 (~v123(constB66, bitIndex1)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8113, 8109])).
% 37.88/24.34 tff(8115,plain,
% 37.88/24.34 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8116,plain,
% 37.88/24.34 (((~v84(constB66, bitIndex1)) | (~v94(constB66)) | v123(constB66, bitIndex1)) <=> ((~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8117,plain,
% 37.88/24.34 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~v94(constB66)) | v123(constB66, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66))))),
% 37.88/24.34 inference(monotonicity,[status(thm)],[8116])).
% 37.88/24.34 tff(8118,plain,
% 37.88/24.34 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~v94(constB66)) | v123(constB66, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66)))),
% 37.88/24.34 inference(transitivity,[status(thm)],[8117, 8115])).
% 37.88/24.34 tff(8119,plain,
% 37.88/24.34 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~v94(constB66)) | v123(constB66, bitIndex1))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8120,plain,
% 37.88/24.34 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | v123(constB66, bitIndex1) | (~v94(constB66))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8119, 8118])).
% 37.88/24.34 tff(8121,plain,
% 37.88/24.34 ((~v84(constB66, bitIndex1)) | (~v94(constB66))),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8120, 609, 8114])).
% 37.88/24.34 tff(8122,plain,
% 37.88/24.34 (~v84(constB66, bitIndex1)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8121, 8015])).
% 37.88/24.34 tff(8123,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8124,plain,
% 37.88/24.34 (((~nextState(constB66, constB67)) | v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1))) <=> (v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8125,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1))))),
% 37.88/24.34 inference(monotonicity,[status(thm)],[8124])).
% 37.88/24.34 tff(8126,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1)))),
% 37.88/24.34 inference(transitivity,[status(thm)],[8125, 8123])).
% 37.88/24.34 tff(8127,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8128,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex1))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 37.88/24.34 tff(8129,plain,
% 37.88/24.34 (v84(constB66, bitIndex1) | v94(constB67) | (~v84(constB67, bitIndex1))),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8128, 228, 8073])).
% 37.88/24.34 tff(8130,plain,
% 37.88/24.34 (v84(constB66, bitIndex1) | (~v84(constB67, bitIndex1))),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8129, 8085])).
% 37.88/24.34 tff(8131,plain,
% 37.88/24.34 (~v84(constB67, bitIndex1)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8130, 8122])).
% 37.88/24.34 tff(8132,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8133,plain,
% 37.88/24.34 ((v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | v124(constB65, bitIndex0)) <=> (v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8134,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | v124(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65)))),
% 37.88/24.34 inference(monotonicity,[status(thm)],[8133])).
% 37.88/24.34 tff(8135,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | v124(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65))),
% 37.88/24.34 inference(transitivity,[status(thm)],[8134, 8132])).
% 37.88/24.34 tff(8136,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB65) | v145(constB65) | v115(constB65) | v116(constB65) | v172(constB65) | v118(constB65) | v124(constB65, bitIndex0))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8137,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB65) | v124(constB65, bitIndex0) | v172(constB65) | v118(constB65) | v116(constB65) | v115(constB65) | v113(constB65)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8136, 8135])).
% 37.88/24.34 tff(8138,plain,
% 37.88/24.34 (v124(constB65, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8137, 1272, 8039, 8035, 8031, 8027, 8023, 8019])).
% 37.88/24.34 tff(8139,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8140,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8141,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8140, 8139])).
% 37.88/24.34 tff(8142,plain,
% 37.88/24.34 ((~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8141, 1289, 7969])).
% 37.88/24.34 tff(8143,plain,
% 37.88/24.34 (v121(constB65, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8142, 8138])).
% 37.88/24.34 tff(8144,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8145,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8146,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8145, 8144])).
% 37.88/24.34 tff(8147,plain,
% 37.88/24.34 ((~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8146, 1304, 7981])).
% 37.88/24.34 tff(8148,plain,
% 37.88/24.34 (v123(constB66, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8147, 8143])).
% 37.88/24.34 tff(8149,plain,
% 37.88/24.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8150,plain,
% 37.88/24.34 ((v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0))) <=> (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8151,plain,
% 37.88/24.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66))))),
% 37.88/24.34 inference(monotonicity,[status(thm)],[8150])).
% 37.88/24.34 tff(8152,plain,
% 37.88/24.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 37.88/24.34 inference(transitivity,[status(thm)],[8151, 8149])).
% 37.88/24.34 tff(8153,plain,
% 37.88/24.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8154,plain,
% 37.88/24.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 37.88/24.34 tff(8155,plain,
% 37.88/24.34 (v84(constB66, bitIndex0) | (~v94(constB66))),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8154, 1319, 8148])).
% 37.88/24.34 tff(8156,plain,
% 37.88/24.34 (v84(constB66, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8155, 8015])).
% 37.88/24.34 tff(8157,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8158,plain,
% 37.88/24.34 (((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0)) <=> ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8159,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0)))),
% 37.88/24.34 inference(monotonicity,[status(thm)],[8158])).
% 37.88/24.34 tff(8160,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 37.88/24.34 inference(transitivity,[status(thm)],[8159, 8157])).
% 37.88/24.34 tff(8161,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8162,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 37.88/24.34 tff(8163,plain,
% 37.88/24.34 ((~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8162, 1337, 8073])).
% 37.88/24.34 tff(8164,plain,
% 37.88/24.34 ((~v84(constB66, bitIndex0)) | v84(constB67, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8163, 8085])).
% 37.88/24.34 tff(8165,plain,
% 37.88/24.34 (v84(constB67, bitIndex0)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8164, 8156])).
% 37.88/24.34 tff(8166,plain,
% 37.88/24.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | v84(constB67, bitIndex2) | v145(constB67))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | v84(constB67, bitIndex2) | v145(constB67))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8167,plain,
% 37.88/24.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | v84(constB67, bitIndex2) | v145(constB67))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8168,plain,
% 37.88/24.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | v84(constB67, bitIndex2) | v145(constB67)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 37.88/24.34 tff(8169,plain,
% 37.88/24.34 (v145(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8168, 1356, 8165, 8131, 8094])).
% 37.88/24.34 tff(8170,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB67) | (~v145(constB67)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB67) | (~v145(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8171,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB67) | (~v145(constB67)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8172,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB67) | (~v145(constB67))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8171, 8170])).
% 37.88/24.34 tff(8173,plain,
% 37.88/24.34 (v112(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8172, 1367, 8169])).
% 37.88/24.34 tff(8174,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB67) | (~v112(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8175,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB67) | (~v112(constB67)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8176,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB67) | (~v112(constB67))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8175, 8174])).
% 37.88/24.34 tff(8177,plain,
% 37.88/24.34 (v111(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8176, 292, 8173])).
% 37.88/24.34 tff(8178,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB67) | (~v111(constB67)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB67) | (~v111(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8179,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB67) | (~v111(constB67)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8180,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB67) | (~v111(constB67))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8179, 8178])).
% 37.88/24.34 tff(8181,plain,
% 37.88/24.34 (v110(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8180, 303, 8177])).
% 37.88/24.34 tff(8182,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB67) | (~v110(constB67)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB67) | (~v110(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8183,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB67) | (~v110(constB67)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8184,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB67) | (~v110(constB67))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 37.88/24.34 tff(8185,plain,
% 37.88/24.34 (v109(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8184, 314, 8181])).
% 37.88/24.34 tff(8186,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB67) | (~v109(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB67) | (~v109(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8187,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB67) | (~v109(constB67)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8188,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB67) | (~v109(constB67))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8187, 8186])).
% 37.88/24.34 tff(8189,plain,
% 37.88/24.34 (v108(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8188, 325, 8185])).
% 37.88/24.34 tff(8190,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB67) | (~v108(constB67)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB67) | (~v108(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8191,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB67) | (~v108(constB67)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8192,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB67) | (~v108(constB67))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 37.88/24.34 tff(8193,plain,
% 37.88/24.34 (v107(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8192, 336, 8189])).
% 37.88/24.34 tff(8194,assumption,(v26(constB67)), introduced(assumption)).
% 37.88/24.34 tff(8195,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8196,plain,
% 37.88/24.34 ($false),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8195, 120, 8194])).
% 37.88/24.34 tff(8197,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 37.88/24.34 tff(8198,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8199,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8200,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8199, 8198])).
% 37.88/24.34 tff(8201,plain,
% 37.88/24.34 ((~v107(constB67)) | v106(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8200, 350, 8197])).
% 37.88/24.34 tff(8202,plain,
% 37.88/24.34 (v106(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8201, 8193])).
% 37.88/24.34 tff(8203,plain,
% 37.88/24.34 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB67) | (~v106(constB67)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB67) | (~v106(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8204,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB67) | (~v106(constB67)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8205,plain,
% 37.88/24.34 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB67) | (~v106(constB67))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8204, 8203])).
% 37.88/24.34 tff(8206,plain,
% 37.88/24.34 (v102(constB67)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8205, 362, 8202])).
% 37.88/24.34 tff(8207,plain,
% 37.88/24.34 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8208,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 37.88/24.34 tff(8209,plain,
% 37.88/24.34 (nextState(constB67, constB68)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 37.88/24.34 tff(8210,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8211,plain,
% 37.88/24.34 (((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8212,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))))),
% 37.88/24.34 inference(monotonicity,[status(thm)],[8211])).
% 37.88/24.34 tff(8213,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 37.88/24.34 inference(transitivity,[status(thm)],[8212, 8210])).
% 37.88/24.34 tff(8214,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8215,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8214, 8213])).
% 37.88/24.34 tff(8216,plain,
% 37.88/24.34 (v104(constB68) | (~v102(constB67))),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8215, 379, 8209])).
% 37.88/24.34 tff(8217,plain,
% 37.88/24.34 (v104(constB68)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8216, 8206])).
% 37.88/24.34 tff(8218,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8219,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8220,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 37.88/24.34 tff(8221,plain,
% 37.88/24.34 (~v98(constB68)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8220, 397, 8209, 8070])).
% 37.88/24.34 tff(8222,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8223,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8224,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8223, 8222])).
% 37.88/24.34 tff(8225,plain,
% 37.88/24.34 (v96(constB68) | v98(constB68)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8224, 411, 8209])).
% 37.88/24.34 tff(8226,plain,
% 37.88/24.34 (v96(constB68)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8225, 8221])).
% 37.88/24.34 tff(8227,plain,
% 37.88/24.34 (v1(constB68) <=> v1(constB68)),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8228,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 37.88/24.34 tff(8229,plain,
% 37.88/24.34 (v1(constB68)),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 37.88/24.34 tff(8230,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8231,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8232,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68))),
% 37.88/24.34 inference(modus_ponens,[status(thm)],[8231, 8230])).
% 37.88/24.34 tff(8233,plain,
% 37.88/24.34 (v95(constB68) | (~v96(constB68))),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8232, 429, 8209, 8229])).
% 37.88/24.34 tff(8234,plain,
% 37.88/24.34 (v95(constB68)),
% 37.88/24.34 inference(unit_resolution,[status(thm)],[8233, 8226])).
% 37.88/24.34 tff(8235,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8236,plain,
% 37.88/24.34 (((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68)) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 37.88/24.34 inference(rewrite,[status(thm)],[])).
% 37.88/24.34 tff(8237,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68))))),
% 37.88/24.34 inference(monotonicity,[status(thm)],[8236])).
% 37.88/24.34 tff(8238,plain,
% 37.88/24.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 37.88/24.34 inference(transitivity,[status(thm)],[8237, 8235])).
% 37.88/24.34 tff(8239,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))),
% 37.88/24.34 inference(quant_inst,[status(thm)],[])).
% 37.88/24.34 tff(8240,plain,
% 37.88/24.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68))),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 37.88/24.35 tff(8241,plain,
% 37.88/24.35 (v94(constB68) | (~v95(constB68)) | (~v104(constB68))),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8240, 444, 8209])).
% 37.88/24.35 tff(8242,plain,
% 37.88/24.35 (v94(constB68) | (~v104(constB68))),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8241, 8234])).
% 37.88/24.35 tff(8243,plain,
% 37.88/24.35 (v94(constB68)),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8242, 8217])).
% 37.88/24.35 tff(8244,plain,
% 37.88/24.35 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB67)) | (~v124(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB67)) | (~v124(constB67, bitIndex2)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8245,plain,
% 37.88/24.35 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB67)) | (~v124(constB67, bitIndex2)))),
% 37.88/24.35 inference(quant_inst,[status(thm)],[])).
% 37.88/24.35 tff(8246,plain,
% 37.88/24.35 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB67)) | (~v124(constB67, bitIndex2))),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8245, 8244])).
% 37.88/24.35 tff(8247,plain,
% 37.88/24.35 (~v124(constB67, bitIndex2)),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8246, 1451, 8169])).
% 37.88/24.35 tff(8248,plain,
% 37.88/24.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8249,plain,
% 37.88/24.35 ((v26(constB67) | v124(constB67, bitIndex2) | (~v121(constB67, bitIndex2))) <=> ((~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8250,plain,
% 37.88/24.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB67) | v124(constB67, bitIndex2) | (~v121(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2)))),
% 37.88/24.35 inference(monotonicity,[status(thm)],[8249])).
% 37.88/24.35 tff(8251,plain,
% 37.88/24.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB67) | v124(constB67, bitIndex2) | (~v121(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2))),
% 37.88/24.35 inference(transitivity,[status(thm)],[8250, 8248])).
% 37.88/24.35 tff(8252,plain,
% 37.88/24.35 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB67) | v124(constB67, bitIndex2) | (~v121(constB67, bitIndex2)))),
% 37.88/24.35 inference(quant_inst,[status(thm)],[])).
% 37.88/24.35 tff(8253,plain,
% 37.88/24.35 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB67, bitIndex2)) | v26(constB67) | v124(constB67, bitIndex2)),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8252, 8251])).
% 37.88/24.35 tff(8254,plain,
% 37.88/24.35 ((~v121(constB67, bitIndex2)) | v124(constB67, bitIndex2)),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8253, 1147, 8197])).
% 37.88/24.35 tff(8255,plain,
% 37.88/24.35 (~v121(constB67, bitIndex2)),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8254, 8247])).
% 37.88/24.35 tff(8256,plain,
% 37.88/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8257,plain,
% 37.88/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2)))),
% 37.88/24.35 inference(quant_inst,[status(thm)],[])).
% 37.88/24.35 tff(8258,plain,
% 37.88/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2))),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8257, 8256])).
% 37.88/24.35 tff(8259,plain,
% 37.88/24.35 (v121(constB67, bitIndex2) | (~v123(constB68, bitIndex2))),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8258, 1165, 8209])).
% 37.88/24.35 tff(8260,plain,
% 37.88/24.35 (~v123(constB68, bitIndex2)),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8259, 8255])).
% 37.88/24.35 tff(8261,plain,
% 37.88/24.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8262,plain,
% 37.88/24.35 (((~v84(constB68, bitIndex2)) | (~v94(constB68)) | v123(constB68, bitIndex2)) <=> ((~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8263,plain,
% 37.88/24.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | (~v94(constB68)) | v123(constB68, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68))))),
% 37.88/24.35 inference(monotonicity,[status(thm)],[8262])).
% 37.88/24.35 tff(8264,plain,
% 37.88/24.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | (~v94(constB68)) | v123(constB68, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68)))),
% 37.88/24.35 inference(transitivity,[status(thm)],[8263, 8261])).
% 37.88/24.35 tff(8265,plain,
% 37.88/24.35 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | (~v94(constB68)) | v123(constB68, bitIndex2))),
% 37.88/24.35 inference(quant_inst,[status(thm)],[])).
% 37.88/24.35 tff(8266,plain,
% 37.88/24.35 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | v123(constB68, bitIndex2) | (~v94(constB68))),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8265, 8264])).
% 37.88/24.35 tff(8267,plain,
% 37.88/24.35 ((~v84(constB68, bitIndex2)) | (~v94(constB68))),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8266, 1180, 8260])).
% 37.88/24.35 tff(8268,plain,
% 37.88/24.35 (~v84(constB68, bitIndex2)),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8267, 8243])).
% 37.88/24.35 tff(8269,plain,
% 37.88/24.35 ((~v1(constB69)) <=> (~v1(constB69))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8270,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 37.88/24.35 tff(8271,plain,
% 37.88/24.35 (~v1(constB69)),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8270, 8269])).
% 37.88/24.35 tff(8272,plain,
% 37.88/24.35 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8273,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 37.88/24.35 tff(8274,plain,
% 37.88/24.35 (nextState(constB68, constB69)),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 37.88/24.35 tff(8275,plain,
% 37.88/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8276,plain,
% 37.88/24.35 (((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8277,plain,
% 37.88/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))))),
% 37.88/24.35 inference(monotonicity,[status(thm)],[8276])).
% 37.88/24.35 tff(8278,plain,
% 37.88/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 37.88/24.35 inference(transitivity,[status(thm)],[8277, 8275])).
% 37.88/24.35 tff(8279,plain,
% 37.88/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))),
% 37.88/24.35 inference(quant_inst,[status(thm)],[])).
% 37.88/24.35 tff(8280,plain,
% 37.88/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8279, 8278])).
% 37.88/24.35 tff(8281,plain,
% 37.88/24.35 (~v95(constB69)),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8280, 175, 8274, 8271])).
% 37.88/24.35 tff(8282,plain,
% 37.88/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8283,plain,
% 37.88/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 37.88/24.35 inference(quant_inst,[status(thm)],[])).
% 37.88/24.35 tff(8284,plain,
% 37.88/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69))),
% 37.88/24.35 inference(modus_ponens,[status(thm)],[8283, 8282])).
% 37.88/24.35 tff(8285,plain,
% 37.88/24.35 (v95(constB69) | (~v94(constB69))),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8284, 192, 8274])).
% 37.88/24.35 tff(8286,plain,
% 37.88/24.35 (~v94(constB69)),
% 37.88/24.35 inference(unit_resolution,[status(thm)],[8285, 8281])).
% 37.88/24.35 tff(8287,plain,
% 37.88/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8288,plain,
% 37.88/24.35 (((~nextState(constB68, constB69)) | v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2))) <=> (v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2)))),
% 37.88/24.35 inference(rewrite,[status(thm)],[])).
% 37.88/24.35 tff(8289,plain,
% 37.88/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2))))),
% 37.97/24.35 inference(monotonicity,[status(thm)],[8288])).
% 37.97/24.35 tff(8290,plain,
% 37.97/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2)))),
% 37.97/24.35 inference(transitivity,[status(thm)],[8289, 8287])).
% 37.97/24.35 tff(8291,plain,
% 37.97/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2)))),
% 37.97/24.35 inference(quant_inst,[status(thm)],[])).
% 37.97/24.35 tff(8292,plain,
% 37.97/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex2))),
% 37.97/24.35 inference(modus_ponens,[status(thm)],[8291, 8290])).
% 37.97/24.35 tff(8293,plain,
% 37.97/24.35 (v84(constB68, bitIndex2) | v94(constB69) | (~v84(constB69, bitIndex2))),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8292, 207, 8274])).
% 37.97/24.35 tff(8294,plain,
% 37.97/24.35 (v84(constB68, bitIndex2) | (~v84(constB69, bitIndex2))),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8293, 8286])).
% 37.97/24.35 tff(8295,plain,
% 37.97/24.35 (~v84(constB69, bitIndex2)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8294, 8268])).
% 37.97/24.35 tff(8296,plain,
% 37.97/24.35 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB67)) | v124(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB67)) | v124(constB67, bitIndex1))),
% 37.97/24.35 inference(rewrite,[status(thm)],[])).
% 37.97/24.35 tff(8297,plain,
% 37.97/24.35 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB67)) | v124(constB67, bitIndex1))),
% 37.97/24.35 inference(quant_inst,[status(thm)],[])).
% 37.97/24.35 tff(8298,plain,
% 37.97/24.35 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB67)) | v124(constB67, bitIndex1)),
% 37.97/24.35 inference(modus_ponens,[status(thm)],[8297, 8296])).
% 37.97/24.35 tff(8299,plain,
% 37.97/24.35 (v124(constB67, bitIndex1)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8298, 1513, 8169])).
% 37.97/24.35 tff(8300,plain,
% 37.97/24.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB67) | (~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB67) | (~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1))),
% 37.97/24.35 inference(rewrite,[status(thm)],[])).
% 37.97/24.35 tff(8301,plain,
% 37.97/24.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB67) | (~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1))),
% 37.97/24.35 inference(quant_inst,[status(thm)],[])).
% 37.97/24.35 tff(8302,plain,
% 37.97/24.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB67) | (~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1)),
% 37.97/24.35 inference(modus_ponens,[status(thm)],[8301, 8300])).
% 37.97/24.35 tff(8303,plain,
% 37.97/24.35 ((~v124(constB67, bitIndex1)) | v121(constB67, bitIndex1)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8302, 875, 8197])).
% 37.97/24.35 tff(8304,plain,
% 37.97/24.35 (v121(constB67, bitIndex1)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8303, 8299])).
% 37.97/24.35 tff(8305,plain,
% 37.97/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1))),
% 37.97/24.35 inference(rewrite,[status(thm)],[])).
% 37.97/24.35 tff(8306,plain,
% 37.97/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1))),
% 37.97/24.35 inference(quant_inst,[status(thm)],[])).
% 37.97/24.35 tff(8307,plain,
% 37.97/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1)),
% 37.97/24.35 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 37.97/24.35 tff(8308,plain,
% 37.97/24.35 ((~v121(constB67, bitIndex1)) | v123(constB68, bitIndex1)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8307, 890, 8209])).
% 37.97/24.35 tff(8309,plain,
% 37.97/24.35 (v123(constB68, bitIndex1)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8308, 8304])).
% 37.97/24.35 tff(8310,plain,
% 37.97/24.35 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68)))),
% 37.97/24.35 inference(rewrite,[status(thm)],[])).
% 37.97/24.35 tff(8311,plain,
% 37.97/24.35 ((v84(constB68, bitIndex1) | (~v94(constB68)) | (~v123(constB68, bitIndex1))) <=> (v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68)))),
% 37.97/24.35 inference(rewrite,[status(thm)],[])).
% 37.97/24.35 tff(8312,plain,
% 37.97/24.35 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v94(constB68)) | (~v123(constB68, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68))))),
% 37.97/24.35 inference(monotonicity,[status(thm)],[8311])).
% 37.97/24.35 tff(8313,plain,
% 37.97/24.35 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v94(constB68)) | (~v123(constB68, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68)))),
% 37.97/24.35 inference(transitivity,[status(thm)],[8312, 8310])).
% 37.97/24.35 tff(8314,plain,
% 37.97/24.35 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~v94(constB68)) | (~v123(constB68, bitIndex1)))),
% 37.97/24.35 inference(quant_inst,[status(thm)],[])).
% 37.97/24.35 tff(8315,plain,
% 37.97/24.35 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1)) | (~v94(constB68))),
% 37.97/24.35 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 37.97/24.35 tff(8316,plain,
% 37.97/24.35 (v84(constB68, bitIndex1) | (~v94(constB68))),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8315, 905, 8309])).
% 37.97/24.35 tff(8317,plain,
% 37.97/24.35 (v84(constB68, bitIndex1)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8316, 8243])).
% 37.97/24.35 tff(8318,plain,
% 37.97/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1))),
% 37.97/24.35 inference(rewrite,[status(thm)],[])).
% 37.97/24.35 tff(8319,plain,
% 37.97/24.35 (((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1)) <=> ((~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1))),
% 37.97/24.35 inference(rewrite,[status(thm)],[])).
% 37.97/24.35 tff(8320,plain,
% 37.97/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1)))),
% 37.97/24.35 inference(monotonicity,[status(thm)],[8319])).
% 37.97/24.35 tff(8321,plain,
% 37.97/24.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1))),
% 37.97/24.35 inference(transitivity,[status(thm)],[8320, 8318])).
% 37.97/24.35 tff(8322,plain,
% 37.97/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1))),
% 37.97/24.35 inference(quant_inst,[status(thm)],[])).
% 37.97/24.35 tff(8323,plain,
% 37.97/24.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex1)),
% 37.97/24.35 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 37.97/24.35 tff(8324,plain,
% 37.97/24.35 ((~v84(constB68, bitIndex1)) | v94(constB69) | v84(constB69, bitIndex1)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8323, 923, 8274])).
% 37.97/24.35 tff(8325,plain,
% 37.97/24.35 ((~v84(constB68, bitIndex1)) | v84(constB69, bitIndex1)),
% 37.97/24.35 inference(unit_resolution,[status(thm)],[8324, 8286])).
% 37.97/24.36 tff(8326,plain,
% 37.97/24.36 (v84(constB69, bitIndex1)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8325, 8317])).
% 37.97/24.36 tff(8327,plain,
% 37.97/24.36 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB67)) | (~v124(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB67)) | (~v124(constB67, bitIndex0)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8328,plain,
% 37.97/24.36 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB67)) | (~v124(constB67, bitIndex0)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8329,plain,
% 37.97/24.36 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB67)) | (~v124(constB67, bitIndex0))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 37.97/24.36 tff(8330,plain,
% 37.97/24.36 (~v124(constB67, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8329, 1554, 8169])).
% 37.97/24.36 tff(8331,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8332,plain,
% 37.97/24.36 ((v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0))) <=> ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8333,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0)))),
% 37.97/24.36 inference(monotonicity,[status(thm)],[8332])).
% 37.97/24.36 tff(8334,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 37.97/24.36 inference(transitivity,[status(thm)],[8333, 8331])).
% 37.97/24.36 tff(8335,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8336,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0)),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 37.97/24.36 tff(8337,plain,
% 37.97/24.36 ((~v121(constB67, bitIndex0)) | v124(constB67, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8336, 650, 8197])).
% 37.97/24.36 tff(8338,plain,
% 37.97/24.36 (~v121(constB67, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8337, 8330])).
% 37.97/24.36 tff(8339,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8340,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8341,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8340, 8339])).
% 37.97/24.36 tff(8342,plain,
% 37.97/24.36 (v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8341, 668, 8209])).
% 37.97/24.36 tff(8343,plain,
% 37.97/24.36 (~v123(constB68, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8342, 8338])).
% 37.97/24.36 tff(8344,plain,
% 37.97/24.36 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8345,plain,
% 37.97/24.36 (((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0)) <=> ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8346,plain,
% 37.97/24.36 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68))))),
% 37.97/24.36 inference(monotonicity,[status(thm)],[8345])).
% 37.97/24.36 tff(8347,plain,
% 37.97/24.36 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 37.97/24.36 inference(transitivity,[status(thm)],[8346, 8344])).
% 37.97/24.36 tff(8348,plain,
% 37.97/24.36 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8349,plain,
% 37.97/24.36 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8348, 8347])).
% 37.97/24.36 tff(8350,plain,
% 37.97/24.36 ((~v84(constB68, bitIndex0)) | (~v94(constB68))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8349, 683, 8343])).
% 37.97/24.36 tff(8351,plain,
% 37.97/24.36 (~v84(constB68, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8350, 8243])).
% 37.97/24.36 tff(8352,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8353,plain,
% 37.97/24.36 (((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0))) <=> (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8354,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0))))),
% 37.97/24.36 inference(monotonicity,[status(thm)],[8353])).
% 37.97/24.36 tff(8355,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 37.97/24.36 inference(transitivity,[status(thm)],[8354, 8352])).
% 37.97/24.36 tff(8356,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8357,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8356, 8355])).
% 37.97/24.36 tff(8358,plain,
% 37.97/24.36 (v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8357, 249, 8274])).
% 37.97/24.36 tff(8359,plain,
% 37.97/24.36 (v84(constB68, bitIndex0) | (~v84(constB69, bitIndex0))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8358, 8286])).
% 37.97/24.36 tff(8360,plain,
% 37.97/24.36 (~v84(constB69, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8359, 8351])).
% 37.97/24.36 tff(8361,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8362,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8363,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69)),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8362, 8361])).
% 37.97/24.36 tff(8364,plain,
% 37.97/24.36 (v115(constB69)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8363, 1598, 8360, 8326, 8295])).
% 37.97/24.36 tff(8365,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB69) | (~v115(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8366,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB69) | (~v115(constB69)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8367,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB69) | (~v115(constB69))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 37.97/24.36 tff(8368,plain,
% 37.97/24.36 (v111(constB69)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8367, 1609, 8364])).
% 37.97/24.36 tff(8369,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB69) | (~v111(constB69)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB69) | (~v111(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8370,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB69) | (~v111(constB69)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8371,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB69) | (~v111(constB69))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 37.97/24.36 tff(8372,plain,
% 37.97/24.36 (v110(constB69)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8371, 303, 8368])).
% 37.97/24.36 tff(8373,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB69) | (~v110(constB69)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB69) | (~v110(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8374,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB69) | (~v110(constB69)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8375,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB69) | (~v110(constB69))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8374, 8373])).
% 37.97/24.36 tff(8376,plain,
% 37.97/24.36 (v109(constB69)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8375, 314, 8372])).
% 37.97/24.36 tff(8377,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB69) | (~v109(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB69) | (~v109(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8378,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB69) | (~v109(constB69)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8379,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB69) | (~v109(constB69))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8378, 8377])).
% 37.97/24.36 tff(8380,plain,
% 37.97/24.36 (v108(constB69)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8379, 325, 8376])).
% 37.97/24.36 tff(8381,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB69) | (~v108(constB69)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB69) | (~v108(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8382,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB69) | (~v108(constB69)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8383,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB69) | (~v108(constB69))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8382, 8381])).
% 37.97/24.36 tff(8384,plain,
% 37.97/24.36 (v107(constB69)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8383, 336, 8380])).
% 37.97/24.36 tff(8385,assumption,(v26(constB69)), introduced(assumption)).
% 37.97/24.36 tff(8386,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8387,plain,
% 37.97/24.36 ($false),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8386, 120, 8385])).
% 37.97/24.36 tff(8388,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 37.97/24.36 tff(8389,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | v106(constB69) | (~v107(constB69)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8390,plain,
% 37.97/24.36 ((v26(constB69) | (~v107(constB69)) | v106(constB69)) <=> (v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8391,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | v106(constB69) | (~v107(constB69))))),
% 37.97/24.36 inference(monotonicity,[status(thm)],[8390])).
% 37.97/24.36 tff(8392,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 37.97/24.36 inference(transitivity,[status(thm)],[8391, 8389])).
% 37.97/24.36 tff(8393,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8394,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 37.97/24.36 tff(8395,plain,
% 37.97/24.36 (v106(constB69) | (~v107(constB69))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8394, 350, 8388])).
% 37.97/24.36 tff(8396,plain,
% 37.97/24.36 (v106(constB69)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8395, 8384])).
% 37.97/24.36 tff(8397,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB69) | (~v106(constB69)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB69) | (~v106(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8398,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB69) | (~v106(constB69)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8399,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB69) | (~v106(constB69))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 37.97/24.36 tff(8400,plain,
% 37.97/24.36 (v102(constB69)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8399, 362, 8396])).
% 37.97/24.36 tff(8401,plain,
% 37.97/24.36 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8402,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 37.97/24.36 tff(8403,plain,
% 37.97/24.36 (nextState(constB69, constB70)),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8402, 8401])).
% 37.97/24.36 tff(8404,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8405,plain,
% 37.97/24.36 (((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8406,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))))),
% 37.97/24.36 inference(monotonicity,[status(thm)],[8405])).
% 37.97/24.36 tff(8407,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 37.97/24.36 inference(transitivity,[status(thm)],[8406, 8404])).
% 37.97/24.36 tff(8408,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8409,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8408, 8407])).
% 37.97/24.36 tff(8410,plain,
% 37.97/24.36 (v104(constB70) | (~v102(constB69))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8409, 379, 8403])).
% 37.97/24.36 tff(8411,plain,
% 37.97/24.36 (v104(constB70)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8410, 8400])).
% 37.97/24.36 tff(8412,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8413,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8414,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8413, 8412])).
% 37.97/24.36 tff(8415,plain,
% 37.97/24.36 (~v98(constB70)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8414, 397, 8403, 8271])).
% 37.97/24.36 tff(8416,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8417,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8418,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70)),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8417, 8416])).
% 37.97/24.36 tff(8419,plain,
% 37.97/24.36 (v96(constB70) | v98(constB70)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8418, 411, 8403])).
% 37.97/24.36 tff(8420,plain,
% 37.97/24.36 (v96(constB70)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8419, 8415])).
% 37.97/24.36 tff(8421,plain,
% 37.97/24.36 (v1(constB70) <=> v1(constB70)),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8422,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 37.97/24.36 tff(8423,plain,
% 37.97/24.36 (v1(constB70)),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8422, 8421])).
% 37.97/24.36 tff(8424,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8425,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8426,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 37.97/24.36 tff(8427,plain,
% 37.97/24.36 (v95(constB70) | (~v96(constB70))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8426, 429, 8403, 8423])).
% 37.97/24.36 tff(8428,plain,
% 37.97/24.36 (v95(constB70)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8427, 8420])).
% 37.97/24.36 tff(8429,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8430,plain,
% 37.97/24.36 (((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70)) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8431,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70))))),
% 37.97/24.36 inference(monotonicity,[status(thm)],[8430])).
% 37.97/24.36 tff(8432,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 37.97/24.36 inference(transitivity,[status(thm)],[8431, 8429])).
% 37.97/24.36 tff(8433,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8434,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70))),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8433, 8432])).
% 37.97/24.36 tff(8435,plain,
% 37.97/24.36 (v94(constB70) | (~v95(constB70)) | (~v104(constB70))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8434, 444, 8403])).
% 37.97/24.36 tff(8436,plain,
% 37.97/24.36 (v94(constB70) | (~v104(constB70))),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8435, 8428])).
% 37.97/24.36 tff(8437,plain,
% 37.97/24.36 (v94(constB70)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8436, 8411])).
% 37.97/24.36 tff(8438,plain,
% 37.97/24.36 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB69)) | v124(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB69)) | v124(constB69, bitIndex0))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8439,plain,
% 37.97/24.36 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB69)) | v124(constB69, bitIndex0))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8440,plain,
% 37.97/24.36 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB69)) | v124(constB69, bitIndex0)),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8439, 8438])).
% 37.97/24.36 tff(8441,plain,
% 37.97/24.36 (v124(constB69, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8440, 1791, 8364])).
% 37.97/24.36 tff(8442,plain,
% 37.97/24.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8443,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8444,plain,
% 37.97/24.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0)),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 37.97/24.36 tff(8445,plain,
% 37.97/24.36 ((~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8444, 1289, 8388])).
% 37.97/24.36 tff(8446,plain,
% 37.97/24.36 (v121(constB69, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8445, 8441])).
% 37.97/24.36 tff(8447,plain,
% 37.97/24.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8448,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))),
% 37.97/24.36 inference(quant_inst,[status(thm)],[])).
% 37.97/24.36 tff(8449,plain,
% 37.97/24.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0)),
% 37.97/24.36 inference(modus_ponens,[status(thm)],[8448, 8447])).
% 37.97/24.36 tff(8450,plain,
% 37.97/24.36 ((~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8449, 1304, 8403])).
% 37.97/24.36 tff(8451,plain,
% 37.97/24.36 (v123(constB70, bitIndex0)),
% 37.97/24.36 inference(unit_resolution,[status(thm)],[8450, 8446])).
% 37.97/24.36 tff(8452,plain,
% 37.97/24.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8453,plain,
% 37.97/24.36 ((v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0))) <=> (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 37.97/24.36 inference(rewrite,[status(thm)],[])).
% 37.97/24.36 tff(8454,plain,
% 37.97/24.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70))))),
% 37.97/24.36 inference(monotonicity,[status(thm)],[8453])).
% 37.97/24.36 tff(8455,plain,
% 37.97/24.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 37.97/24.37 inference(transitivity,[status(thm)],[8454, 8452])).
% 37.97/24.37 tff(8456,plain,
% 37.97/24.37 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8457,plain,
% 37.97/24.37 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 37.97/24.37 tff(8458,plain,
% 37.97/24.37 (v84(constB70, bitIndex0) | (~v94(constB70))),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8457, 1319, 8451])).
% 37.97/24.37 tff(8459,plain,
% 37.97/24.37 (v84(constB70, bitIndex0)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8458, 8437])).
% 37.97/24.37 tff(8460,plain,
% 37.97/24.37 ((~v1(constB71)) <=> (~v1(constB71))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8461,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 37.97/24.37 tff(8462,plain,
% 37.97/24.37 (~v1(constB71)),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 37.97/24.37 tff(8463,plain,
% 37.97/24.37 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8464,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 37.97/24.37 tff(8465,plain,
% 37.97/24.37 (nextState(constB70, constB71)),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8464, 8463])).
% 37.97/24.37 tff(8466,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8467,plain,
% 37.97/24.37 (((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8468,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))))),
% 37.97/24.37 inference(monotonicity,[status(thm)],[8467])).
% 37.97/24.37 tff(8469,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 37.97/24.37 inference(transitivity,[status(thm)],[8468, 8466])).
% 37.97/24.37 tff(8470,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8471,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8470, 8469])).
% 37.97/24.37 tff(8472,plain,
% 37.97/24.37 (~v95(constB71)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8471, 175, 8465, 8462])).
% 37.97/24.37 tff(8473,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8474,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8475,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 37.97/24.37 tff(8476,plain,
% 37.97/24.37 (v95(constB71) | (~v94(constB71))),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8475, 192, 8465])).
% 37.97/24.37 tff(8477,plain,
% 37.97/24.37 (~v94(constB71)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8476, 8472])).
% 37.97/24.37 tff(8478,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8479,plain,
% 37.97/24.37 (((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0)) <=> ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8480,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0)))),
% 37.97/24.37 inference(monotonicity,[status(thm)],[8479])).
% 37.97/24.37 tff(8481,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 37.97/24.37 inference(transitivity,[status(thm)],[8480, 8478])).
% 37.97/24.37 tff(8482,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8483,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0)),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 37.97/24.37 tff(8484,plain,
% 37.97/24.37 ((~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8483, 1337, 8465])).
% 37.97/24.37 tff(8485,plain,
% 37.97/24.37 ((~v84(constB70, bitIndex0)) | v84(constB71, bitIndex0)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8484, 8477])).
% 37.97/24.37 tff(8486,plain,
% 37.97/24.37 (v84(constB71, bitIndex0)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8485, 8459])).
% 37.97/24.37 tff(8487,plain,
% 37.97/24.37 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB69)) | (~v124(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB69)) | (~v124(constB69, bitIndex2)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8488,plain,
% 37.97/24.37 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB69)) | (~v124(constB69, bitIndex2)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8489,plain,
% 37.97/24.37 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB69)) | (~v124(constB69, bitIndex2))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8488, 8487])).
% 37.97/24.37 tff(8490,plain,
% 37.97/24.37 (~v124(constB69, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8489, 1688, 8364])).
% 37.97/24.37 tff(8491,plain,
% 37.97/24.37 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8492,plain,
% 37.97/24.37 ((v26(constB69) | v124(constB69, bitIndex2) | (~v121(constB69, bitIndex2))) <=> ((~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8493,plain,
% 37.97/24.37 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB69) | v124(constB69, bitIndex2) | (~v121(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2)))),
% 37.97/24.37 inference(monotonicity,[status(thm)],[8492])).
% 37.97/24.37 tff(8494,plain,
% 37.97/24.37 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB69) | v124(constB69, bitIndex2) | (~v121(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2))),
% 37.97/24.37 inference(transitivity,[status(thm)],[8493, 8491])).
% 37.97/24.37 tff(8495,plain,
% 37.97/24.37 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB69) | v124(constB69, bitIndex2) | (~v121(constB69, bitIndex2)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8496,plain,
% 37.97/24.37 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB69, bitIndex2)) | v26(constB69) | v124(constB69, bitIndex2)),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 37.97/24.37 tff(8497,plain,
% 37.97/24.37 ((~v121(constB69, bitIndex2)) | v124(constB69, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8496, 1147, 8388])).
% 37.97/24.37 tff(8498,plain,
% 37.97/24.37 (~v121(constB69, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8497, 8490])).
% 37.97/24.37 tff(8499,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8500,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8501,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8500, 8499])).
% 37.97/24.37 tff(8502,plain,
% 37.97/24.37 (v121(constB69, bitIndex2) | (~v123(constB70, bitIndex2))),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8501, 1165, 8403])).
% 37.97/24.37 tff(8503,plain,
% 37.97/24.37 (~v123(constB70, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8502, 8498])).
% 37.97/24.37 tff(8504,plain,
% 37.97/24.37 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8505,plain,
% 37.97/24.37 (((~v84(constB70, bitIndex2)) | (~v94(constB70)) | v123(constB70, bitIndex2)) <=> ((~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8506,plain,
% 37.97/24.37 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | (~v94(constB70)) | v123(constB70, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70))))),
% 37.97/24.37 inference(monotonicity,[status(thm)],[8505])).
% 37.97/24.37 tff(8507,plain,
% 37.97/24.37 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | (~v94(constB70)) | v123(constB70, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70)))),
% 37.97/24.37 inference(transitivity,[status(thm)],[8506, 8504])).
% 37.97/24.37 tff(8508,plain,
% 37.97/24.37 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | (~v94(constB70)) | v123(constB70, bitIndex2))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8509,plain,
% 37.97/24.37 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | v123(constB70, bitIndex2) | (~v94(constB70))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8508, 8507])).
% 37.97/24.37 tff(8510,plain,
% 37.97/24.37 ((~v84(constB70, bitIndex2)) | (~v94(constB70))),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8509, 1180, 8503])).
% 37.97/24.37 tff(8511,plain,
% 37.97/24.37 (~v84(constB70, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8510, 8437])).
% 37.97/24.37 tff(8512,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8513,plain,
% 37.97/24.37 (((~nextState(constB70, constB71)) | v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2))) <=> (v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8514,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2))))),
% 37.97/24.37 inference(monotonicity,[status(thm)],[8513])).
% 37.97/24.37 tff(8515,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2)))),
% 37.97/24.37 inference(transitivity,[status(thm)],[8514, 8512])).
% 37.97/24.37 tff(8516,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8517,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex2))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8516, 8515])).
% 37.97/24.37 tff(8518,plain,
% 37.97/24.37 (v84(constB70, bitIndex2) | v94(constB71) | (~v84(constB71, bitIndex2))),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8517, 207, 8465])).
% 37.97/24.37 tff(8519,plain,
% 37.97/24.37 (v84(constB70, bitIndex2) | (~v84(constB71, bitIndex2))),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8518, 8477])).
% 37.97/24.37 tff(8520,plain,
% 37.97/24.37 (~v84(constB71, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8519, 8511])).
% 37.97/24.37 tff(8521,plain,
% 37.97/24.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB67, bitIndex0)) | (~v115(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB67, bitIndex0)) | (~v115(constB67)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8522,plain,
% 37.97/24.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB67, bitIndex0)) | (~v115(constB67)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8523,plain,
% 37.97/24.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB67, bitIndex0)) | (~v115(constB67))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8522, 8521])).
% 37.97/24.37 tff(8524,plain,
% 37.97/24.37 (~v115(constB67)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8523, 5169, 8165])).
% 37.97/24.37 tff(8525,plain,
% 37.97/24.37 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))))),
% 37.97/24.37 inference(bind,[status(th)],[])).
% 37.97/24.37 tff(8526,plain,
% 37.97/24.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 37.97/24.37 inference(quant_intro,[status(thm)],[8525])).
% 37.97/24.37 tff(8527,plain,
% 37.97/24.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8528,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 37.97/24.37 tff(8529,plain,
% 37.97/24.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8528, 8527])).
% 37.97/24.37 tff(8530,plain,(
% 37.97/24.37 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 37.97/24.37 inference(skolemize,[status(sab)],[8529])).
% 37.97/24.37 tff(8531,plain,
% 37.97/24.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8530, 8526])).
% 37.97/24.37 tff(8532,plain,
% 37.97/24.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB67, bitIndex0)) | (~v113(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB67, bitIndex0)) | (~v113(constB67)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8533,plain,
% 37.97/24.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB67, bitIndex0)) | (~v113(constB67)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8534,plain,
% 37.97/24.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB67, bitIndex0)) | (~v113(constB67))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8533, 8532])).
% 37.97/24.37 tff(8535,plain,
% 37.97/24.37 (~v113(constB67)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8534, 8531, 8165])).
% 37.97/24.37 tff(8536,assumption,(~v84(constB68, bitIndex2)), introduced(assumption)).
% 37.97/24.37 tff(8537,plain,
% 37.97/24.37 (~v84(constB69, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8294, 8536])).
% 37.97/24.37 tff(8538,assumption,(v94(constB68)), introduced(assumption)).
% 37.97/24.37 tff(8539,plain,
% 37.97/24.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8540,plain,
% 37.97/24.37 ((v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2))) <=> (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8541,plain,
% 37.97/24.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68))))),
% 37.97/24.37 inference(monotonicity,[status(thm)],[8540])).
% 37.97/24.37 tff(8542,plain,
% 37.97/24.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 37.97/24.37 inference(transitivity,[status(thm)],[8541, 8539])).
% 37.97/24.37 tff(8543,plain,
% 37.97/24.37 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8544,plain,
% 37.97/24.37 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68))),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8543, 8542])).
% 37.97/24.37 tff(8545,plain,
% 37.97/24.37 (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2))),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8544, 507, 8538])).
% 37.97/24.37 tff(8546,plain,
% 37.97/24.37 (~v123(constB68, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8545, 8536])).
% 37.97/24.37 tff(8547,plain,
% 37.97/24.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))),
% 37.97/24.37 inference(rewrite,[status(thm)],[])).
% 37.97/24.37 tff(8548,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))),
% 37.97/24.37 inference(quant_inst,[status(thm)],[])).
% 37.97/24.37 tff(8549,plain,
% 37.97/24.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2)),
% 37.97/24.37 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 37.97/24.37 tff(8550,plain,
% 37.97/24.37 ((~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8549, 492, 8209])).
% 37.97/24.37 tff(8551,plain,
% 37.97/24.37 (~v121(constB67, bitIndex2)),
% 37.97/24.37 inference(unit_resolution,[status(thm)],[8550, 8546])).
% 37.97/24.37 tff(8552,plain,
% 37.97/24.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8553,plain,
% 37.97/24.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))),
% 37.97/24.38 inference(quant_inst,[status(thm)],[])).
% 37.97/24.38 tff(8554,plain,
% 37.97/24.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2)),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 37.97/24.38 tff(8555,plain,
% 37.97/24.38 ((~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8554, 477, 8197])).
% 37.97/24.38 tff(8556,plain,
% 37.97/24.38 (~v124(constB67, bitIndex2)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8555, 8551])).
% 37.97/24.38 tff(8557,plain,
% 37.97/24.38 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB67)) | v124(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB67)) | v124(constB67, bitIndex2))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8558,plain,
% 37.97/24.38 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB67)) | v124(constB67, bitIndex2))),
% 37.97/24.38 inference(quant_inst,[status(thm)],[])).
% 37.97/24.38 tff(8559,plain,
% 37.97/24.38 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB67)) | v124(constB67, bitIndex2)),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 37.97/24.38 tff(8560,plain,
% 37.97/24.38 (~v172(constB67)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8559, 724, 8556])).
% 37.97/24.38 tff(8561,assumption,(~v113(constB67)), introduced(assumption)).
% 37.97/24.38 tff(8562,assumption,(~v124(constB67, bitIndex0)), introduced(assumption)).
% 37.97/24.38 tff(8563,plain,
% 37.97/24.38 (^[VarCurr: $i] : refl(((~v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 37.97/24.38 inference(bind,[status(th)],[])).
% 37.97/24.38 tff(8564,plain,
% 37.97/24.38 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.97/24.38 inference(quant_intro,[status(thm)],[8563])).
% 37.97/24.38 tff(8565,plain,
% 37.97/24.38 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8566,plain,
% 37.97/24.38 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 37.97/24.38 inference(bind,[status(th)],[])).
% 37.97/24.38 tff(8567,plain,
% 37.97/24.38 (![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.97/24.38 inference(quant_intro,[status(thm)],[8566])).
% 37.97/24.38 tff(8568,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 37.97/24.38 tff(8569,plain,
% 37.97/24.38 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8568, 8567])).
% 37.97/24.38 tff(8570,plain,
% 37.97/24.38 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8569, 8565])).
% 37.97/24.38 tff(8571,plain,(
% 37.97/24.38 ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.97/24.38 inference(skolemize,[status(sab)],[8570])).
% 37.97/24.38 tff(8572,plain,
% 37.97/24.38 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8571, 8564])).
% 37.97/24.38 tff(8573,plain,
% 37.97/24.38 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB67)) | v124(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB67)) | v124(constB67, bitIndex0))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8574,plain,
% 37.97/24.38 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB67)) | v124(constB67, bitIndex0))),
% 37.97/24.38 inference(quant_inst,[status(thm)],[])).
% 37.97/24.38 tff(8575,plain,
% 37.97/24.38 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB67)) | v124(constB67, bitIndex0)),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 37.97/24.38 tff(8576,plain,
% 37.97/24.38 (~v118(constB67)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8575, 8572, 8562])).
% 37.97/24.38 tff(8577,plain,
% 37.97/24.38 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB67)) | v124(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB67)) | v124(constB67, bitIndex2))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8578,plain,
% 37.97/24.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB67)) | v124(constB67, bitIndex2))),
% 37.97/24.38 inference(quant_inst,[status(thm)],[])).
% 37.97/24.38 tff(8579,plain,
% 37.97/24.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB67)) | v124(constB67, bitIndex2)),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 37.97/24.38 tff(8580,plain,
% 37.97/24.38 (~v116(constB67)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8579, 1918, 8556])).
% 37.97/24.38 tff(8581,assumption,(~v115(constB67)), introduced(assumption)).
% 37.97/24.38 tff(8582,plain,
% 37.97/24.38 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v115(constB67) | v145(constB67) | v172(constB67) | v118(constB67) | v116(constB67) | v113(constB67) | v124(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v115(constB67) | v145(constB67) | v172(constB67) | v118(constB67) | v116(constB67) | v113(constB67) | v124(constB67, bitIndex0))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8583,plain,
% 37.97/24.38 ((v113(constB67) | v145(constB67) | v115(constB67) | v116(constB67) | v172(constB67) | v118(constB67) | v124(constB67, bitIndex0)) <=> (v115(constB67) | v145(constB67) | v172(constB67) | v118(constB67) | v116(constB67) | v113(constB67) | v124(constB67, bitIndex0))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8584,plain,
% 37.97/24.38 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB67) | v145(constB67) | v115(constB67) | v116(constB67) | v172(constB67) | v118(constB67) | v124(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v115(constB67) | v145(constB67) | v172(constB67) | v118(constB67) | v116(constB67) | v113(constB67) | v124(constB67, bitIndex0)))),
% 37.97/24.38 inference(monotonicity,[status(thm)],[8583])).
% 37.97/24.38 tff(8585,plain,
% 37.97/24.38 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB67) | v145(constB67) | v115(constB67) | v116(constB67) | v172(constB67) | v118(constB67) | v124(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v115(constB67) | v145(constB67) | v172(constB67) | v118(constB67) | v116(constB67) | v113(constB67) | v124(constB67, bitIndex0))),
% 37.97/24.38 inference(transitivity,[status(thm)],[8584, 8582])).
% 37.97/24.38 tff(8586,plain,
% 37.97/24.38 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB67) | v145(constB67) | v115(constB67) | v116(constB67) | v172(constB67) | v118(constB67) | v124(constB67, bitIndex0))),
% 37.97/24.38 inference(quant_inst,[status(thm)],[])).
% 37.97/24.38 tff(8587,plain,
% 37.97/24.38 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v115(constB67) | v145(constB67) | v172(constB67) | v118(constB67) | v116(constB67) | v113(constB67) | v124(constB67, bitIndex0)),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8586, 8585])).
% 37.97/24.38 tff(8588,plain,
% 37.97/24.38 (v145(constB67) | v172(constB67) | v118(constB67) | v116(constB67) | v113(constB67) | v124(constB67, bitIndex0)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8587, 1272, 8581])).
% 37.97/24.38 tff(8589,plain,
% 37.97/24.38 (v145(constB67)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8588, 8580, 8562, 8576, 8561, 8560])).
% 37.97/24.38 tff(8590,plain,
% 37.97/24.38 (v124(constB67, bitIndex1)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8298, 1513, 8589])).
% 37.97/24.38 tff(8591,plain,
% 37.97/24.38 (v121(constB67, bitIndex1)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8303, 8590])).
% 37.97/24.38 tff(8592,plain,
% 37.97/24.38 (v123(constB68, bitIndex1)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8308, 8591])).
% 37.97/24.38 tff(8593,plain,
% 37.97/24.38 (v84(constB68, bitIndex1) | (~v123(constB68, bitIndex1))),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8315, 905, 8538])).
% 37.97/24.38 tff(8594,plain,
% 37.97/24.38 (v84(constB68, bitIndex1)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8593, 8592])).
% 37.97/24.38 tff(8595,plain,
% 37.97/24.38 (v84(constB69, bitIndex1)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8325, 8594])).
% 37.97/24.38 tff(8596,assumption,(~v84(constB69, bitIndex0)), introduced(assumption)).
% 37.97/24.38 tff(8597,plain,
% 37.97/24.38 ((~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8363, 1598, 8596])).
% 37.97/24.38 tff(8598,plain,
% 37.97/24.38 (v115(constB69)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8597, 8595, 8537])).
% 37.97/24.38 tff(8599,assumption,(~v84(constB70, bitIndex1)), introduced(assumption)).
% 37.97/24.38 tff(8600,plain,
% 37.97/24.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v94(constB70) | v84(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v94(constB70) | v84(constB70, bitIndex1))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8601,plain,
% 37.97/24.38 (((~nextState(constB69, constB70)) | (~v84(constB69, bitIndex1)) | v94(constB70) | v84(constB70, bitIndex1)) <=> ((~v84(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v94(constB70) | v84(constB70, bitIndex1))),
% 37.97/24.38 inference(rewrite,[status(thm)],[])).
% 37.97/24.38 tff(8602,plain,
% 37.97/24.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v84(constB69, bitIndex1)) | v94(constB70) | v84(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v94(constB70) | v84(constB70, bitIndex1)))),
% 37.97/24.38 inference(monotonicity,[status(thm)],[8601])).
% 37.97/24.38 tff(8603,plain,
% 37.97/24.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v84(constB69, bitIndex1)) | v94(constB70) | v84(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v94(constB70) | v84(constB70, bitIndex1))),
% 37.97/24.38 inference(transitivity,[status(thm)],[8602, 8600])).
% 37.97/24.38 tff(8604,plain,
% 37.97/24.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v84(constB69, bitIndex1)) | v94(constB70) | v84(constB70, bitIndex1))),
% 37.97/24.38 inference(quant_inst,[status(thm)],[])).
% 37.97/24.38 tff(8605,plain,
% 37.97/24.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB69, bitIndex1)) | (~nextState(constB69, constB70)) | v94(constB70) | v84(constB70, bitIndex1)),
% 37.97/24.38 inference(modus_ponens,[status(thm)],[8604, 8603])).
% 37.97/24.38 tff(8606,plain,
% 37.97/24.38 ((~v84(constB69, bitIndex1)) | v94(constB70) | v84(constB70, bitIndex1)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8605, 923, 8403])).
% 37.97/24.38 tff(8607,plain,
% 37.97/24.38 (v94(constB70)),
% 37.97/24.38 inference(unit_resolution,[status(thm)],[8606, 8595, 8599])).
% 37.99/24.38 tff(8608,plain,
% 37.99/24.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8609,plain,
% 37.99/24.38 ((v84(constB70, bitIndex1) | (~v94(constB70)) | (~v123(constB70, bitIndex1))) <=> (v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8610,plain,
% 37.99/24.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v94(constB70)) | (~v123(constB70, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70))))),
% 37.99/24.38 inference(monotonicity,[status(thm)],[8609])).
% 37.99/24.38 tff(8611,plain,
% 37.99/24.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v94(constB70)) | (~v123(constB70, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70)))),
% 37.99/24.38 inference(transitivity,[status(thm)],[8610, 8608])).
% 37.99/24.38 tff(8612,plain,
% 37.99/24.38 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~v94(constB70)) | (~v123(constB70, bitIndex1)))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8613,plain,
% 37.99/24.38 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)) | (~v94(constB70))),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8612, 8611])).
% 37.99/24.38 tff(8614,plain,
% 37.99/24.38 ((~v123(constB70, bitIndex1)) | (~v94(constB70))),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8613, 905, 8599])).
% 37.99/24.38 tff(8615,plain,
% 37.99/24.38 (~v123(constB70, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8614, 8607])).
% 37.99/24.38 tff(8616,plain,
% 37.99/24.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8617,plain,
% 37.99/24.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8618,plain,
% 37.99/24.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1)),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8617, 8616])).
% 37.99/24.38 tff(8619,plain,
% 37.99/24.38 ((~v121(constB69, bitIndex1)) | v123(constB70, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8618, 890, 8403])).
% 37.99/24.38 tff(8620,plain,
% 37.99/24.38 (~v121(constB69, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8619, 8615])).
% 37.99/24.38 tff(8621,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB69) | (~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB69) | (~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8622,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB69) | (~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8623,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB69) | (~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1)),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8622, 8621])).
% 37.99/24.38 tff(8624,plain,
% 37.99/24.38 ((~v124(constB69, bitIndex1)) | v121(constB69, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8623, 875, 8388])).
% 37.99/24.38 tff(8625,plain,
% 37.99/24.38 (~v124(constB69, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8624, 8620])).
% 37.99/24.38 tff(8626,plain,
% 37.99/24.38 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB69)) | v124(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB69)) | v124(constB69, bitIndex1))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8627,plain,
% 37.99/24.38 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB69)) | v124(constB69, bitIndex1))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8628,plain,
% 37.99/24.38 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB69)) | v124(constB69, bitIndex1)),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 37.99/24.38 tff(8629,plain,
% 37.99/24.38 ($false),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8628, 1750, 8625, 8598])).
% 37.99/24.38 tff(8630,plain,(v84(constB68, bitIndex2) | v84(constB70, bitIndex1) | v84(constB69, bitIndex0) | (~v94(constB68)) | v124(constB67, bitIndex0) | v113(constB67) | v115(constB67)), inference(lemma,lemma(discharge,[]))).
% 37.99/24.38 tff(8631,plain,
% 37.99/24.38 (v84(constB70, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8630, 8268, 8535, 8330, 8243, 8524, 8360])).
% 37.99/24.38 tff(8632,plain,
% 37.99/24.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8633,plain,
% 37.99/24.38 (((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1)) <=> ((~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8634,plain,
% 37.99/24.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1)))),
% 37.99/24.38 inference(monotonicity,[status(thm)],[8633])).
% 37.99/24.38 tff(8635,plain,
% 37.99/24.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1))),
% 37.99/24.38 inference(transitivity,[status(thm)],[8634, 8632])).
% 37.99/24.38 tff(8636,plain,
% 37.99/24.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8637,plain,
% 37.99/24.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex1)),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8636, 8635])).
% 37.99/24.38 tff(8638,plain,
% 37.99/24.38 ((~v84(constB70, bitIndex1)) | v94(constB71) | v84(constB71, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8637, 923, 8465])).
% 37.99/24.38 tff(8639,plain,
% 37.99/24.38 ((~v84(constB70, bitIndex1)) | v84(constB71, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8638, 8477])).
% 37.99/24.38 tff(8640,plain,
% 37.99/24.38 (v84(constB71, bitIndex1)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8639, 8631])).
% 37.99/24.38 tff(8641,plain,
% 37.99/24.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8642,plain,
% 37.99/24.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8643,plain,
% 37.99/24.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71)),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8642, 8641])).
% 37.99/24.38 tff(8644,plain,
% 37.99/24.38 ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex2) | v116(constB71)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8643, 1832, 8640])).
% 37.99/24.38 tff(8645,plain,
% 37.99/24.38 (v116(constB71)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8644, 8520, 8486])).
% 37.99/24.38 tff(8646,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB71) | (~v116(constB71)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB71) | (~v116(constB71)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8647,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB71) | (~v116(constB71)))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8648,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB71) | (~v116(constB71))),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8647, 8646])).
% 37.99/24.38 tff(8649,plain,
% 37.99/24.38 (v110(constB71)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8648, 1843, 8645])).
% 37.99/24.38 tff(8650,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB71) | (~v110(constB71)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB71) | (~v110(constB71)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8651,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB71) | (~v110(constB71)))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8652,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB71) | (~v110(constB71))),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8651, 8650])).
% 37.99/24.38 tff(8653,plain,
% 37.99/24.38 (v109(constB71)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8652, 314, 8649])).
% 37.99/24.38 tff(8654,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB71) | (~v109(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB71) | (~v109(constB71)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8655,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB71) | (~v109(constB71)))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8656,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB71) | (~v109(constB71))),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8655, 8654])).
% 37.99/24.38 tff(8657,plain,
% 37.99/24.38 (v108(constB71)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8656, 325, 8653])).
% 37.99/24.38 tff(8658,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB71) | (~v108(constB71)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB71) | (~v108(constB71)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8659,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB71) | (~v108(constB71)))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8660,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB71) | (~v108(constB71))),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 37.99/24.38 tff(8661,plain,
% 37.99/24.38 (v107(constB71)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8660, 336, 8657])).
% 37.99/24.38 tff(8662,assumption,(v26(constB71)), introduced(assumption)).
% 37.99/24.38 tff(8663,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8664,plain,
% 37.99/24.38 ($false),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8663, 120, 8662])).
% 37.99/24.38 tff(8665,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 37.99/24.38 tff(8666,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8667,plain,
% 37.99/24.38 ((v26(constB71) | (~v107(constB71)) | v106(constB71)) <=> (v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8668,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71))))),
% 37.99/24.38 inference(monotonicity,[status(thm)],[8667])).
% 37.99/24.38 tff(8669,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 37.99/24.38 inference(transitivity,[status(thm)],[8668, 8666])).
% 37.99/24.38 tff(8670,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8671,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71))),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 37.99/24.38 tff(8672,plain,
% 37.99/24.38 (v106(constB71) | (~v107(constB71))),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8671, 350, 8665])).
% 37.99/24.38 tff(8673,plain,
% 37.99/24.38 (v106(constB71)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8672, 8661])).
% 37.99/24.38 tff(8674,plain,
% 37.99/24.38 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB71) | (~v106(constB71)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB71) | (~v106(constB71)))),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8675,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB71) | (~v106(constB71)))),
% 37.99/24.38 inference(quant_inst,[status(thm)],[])).
% 37.99/24.38 tff(8676,plain,
% 37.99/24.38 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB71) | (~v106(constB71))),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8675, 8674])).
% 37.99/24.38 tff(8677,plain,
% 37.99/24.38 (v102(constB71)),
% 37.99/24.38 inference(unit_resolution,[status(thm)],[8676, 362, 8673])).
% 37.99/24.38 tff(8678,plain,
% 37.99/24.38 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 37.99/24.38 inference(rewrite,[status(thm)],[])).
% 37.99/24.38 tff(8679,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 37.99/24.38 tff(8680,plain,
% 37.99/24.38 (nextState(constB71, constB72)),
% 37.99/24.38 inference(modus_ponens,[status(thm)],[8679, 8678])).
% 37.99/24.38 tff(8681,plain,
% 37.99/24.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8682,plain,
% 37.99/24.39 (((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8683,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))))),
% 37.99/24.39 inference(monotonicity,[status(thm)],[8682])).
% 37.99/24.39 tff(8684,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 37.99/24.39 inference(transitivity,[status(thm)],[8683, 8681])).
% 37.99/24.39 tff(8685,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8686,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 37.99/24.39 tff(8687,plain,
% 37.99/24.39 (v104(constB72) | (~v102(constB71))),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8686, 379, 8680])).
% 37.99/24.39 tff(8688,plain,
% 37.99/24.39 (v104(constB72)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8687, 8677])).
% 37.99/24.39 tff(8689,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8690,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8691,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 37.99/24.39 tff(8692,plain,
% 37.99/24.39 (~v98(constB72)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8691, 397, 8680, 8462])).
% 37.99/24.39 tff(8693,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8694,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8695,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 37.99/24.39 tff(8696,plain,
% 37.99/24.39 (v96(constB72) | v98(constB72)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8695, 411, 8680])).
% 37.99/24.39 tff(8697,plain,
% 37.99/24.39 (v96(constB72)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8696, 8692])).
% 37.99/24.39 tff(8698,plain,
% 37.99/24.39 (v1(constB72) <=> v1(constB72)),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8699,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 37.99/24.39 tff(8700,plain,
% 37.99/24.39 (v1(constB72)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 37.99/24.39 tff(8701,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8702,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8703,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 37.99/24.39 tff(8704,plain,
% 37.99/24.39 (v95(constB72) | (~v96(constB72))),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8703, 429, 8680, 8700])).
% 37.99/24.39 tff(8705,plain,
% 37.99/24.39 (v95(constB72)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8704, 8697])).
% 37.99/24.39 tff(8706,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8707,plain,
% 37.99/24.39 (((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72)) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8708,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72))))),
% 37.99/24.39 inference(monotonicity,[status(thm)],[8707])).
% 37.99/24.39 tff(8709,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 37.99/24.39 inference(transitivity,[status(thm)],[8708, 8706])).
% 37.99/24.39 tff(8710,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8711,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 37.99/24.39 tff(8712,plain,
% 37.99/24.39 (v94(constB72) | (~v95(constB72)) | (~v104(constB72))),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8711, 444, 8680])).
% 37.99/24.39 tff(8713,plain,
% 37.99/24.39 (v94(constB72) | (~v104(constB72))),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8712, 8705])).
% 37.99/24.39 tff(8714,plain,
% 37.99/24.39 (v94(constB72)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8713, 8688])).
% 37.99/24.39 tff(8715,plain,
% 37.99/24.39 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB71)) | v124(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB71)) | v124(constB71, bitIndex2))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8716,plain,
% 37.99/24.39 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB71)) | v124(constB71, bitIndex2))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8717,plain,
% 37.99/24.39 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB71)) | v124(constB71, bitIndex2)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8716, 8715])).
% 37.99/24.39 tff(8718,plain,
% 37.99/24.39 (v124(constB71, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8717, 1918, 8645])).
% 37.99/24.39 tff(8719,plain,
% 37.99/24.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8720,plain,
% 37.99/24.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8721,plain,
% 37.99/24.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 37.99/24.39 tff(8722,plain,
% 37.99/24.39 ((~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8721, 477, 8665])).
% 37.99/24.39 tff(8723,plain,
% 37.99/24.39 (v121(constB71, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8722, 8718])).
% 37.99/24.39 tff(8724,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8725,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8726,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 37.99/24.39 tff(8727,plain,
% 37.99/24.39 ((~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8726, 492, 8680])).
% 37.99/24.39 tff(8728,plain,
% 37.99/24.39 (v123(constB72, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8727, 8723])).
% 37.99/24.39 tff(8729,plain,
% 37.99/24.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8730,plain,
% 37.99/24.39 ((v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2))) <=> (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8731,plain,
% 37.99/24.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72))))),
% 37.99/24.39 inference(monotonicity,[status(thm)],[8730])).
% 37.99/24.39 tff(8732,plain,
% 37.99/24.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 37.99/24.39 inference(transitivity,[status(thm)],[8731, 8729])).
% 37.99/24.39 tff(8733,plain,
% 37.99/24.39 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8734,plain,
% 37.99/24.39 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 37.99/24.39 tff(8735,plain,
% 37.99/24.39 (v84(constB72, bitIndex2) | (~v94(constB72))),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8734, 507, 8728])).
% 37.99/24.39 tff(8736,plain,
% 37.99/24.39 (v84(constB72, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8735, 8714])).
% 37.99/24.39 tff(8737,plain,
% 37.99/24.39 ((~v1(constB73)) <=> (~v1(constB73))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8738,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 37.99/24.39 tff(8739,plain,
% 37.99/24.39 (~v1(constB73)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8738, 8737])).
% 37.99/24.39 tff(8740,plain,
% 37.99/24.39 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8741,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 37.99/24.39 tff(8742,plain,
% 37.99/24.39 (nextState(constB72, constB73)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 37.99/24.39 tff(8743,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8744,plain,
% 37.99/24.39 (((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8745,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))))),
% 37.99/24.39 inference(monotonicity,[status(thm)],[8744])).
% 37.99/24.39 tff(8746,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 37.99/24.39 inference(transitivity,[status(thm)],[8745, 8743])).
% 37.99/24.39 tff(8747,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8748,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8747, 8746])).
% 37.99/24.39 tff(8749,plain,
% 37.99/24.39 (~v95(constB73)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8748, 175, 8742, 8739])).
% 37.99/24.39 tff(8750,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8751,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8752,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8751, 8750])).
% 37.99/24.39 tff(8753,plain,
% 37.99/24.39 (v95(constB73) | (~v94(constB73))),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8752, 192, 8742])).
% 37.99/24.39 tff(8754,plain,
% 37.99/24.39 (~v94(constB73)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8753, 8749])).
% 37.99/24.39 tff(8755,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8756,plain,
% 37.99/24.39 (((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2)) <=> ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8757,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2)))),
% 37.99/24.39 inference(monotonicity,[status(thm)],[8756])).
% 37.99/24.39 tff(8758,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 37.99/24.39 inference(transitivity,[status(thm)],[8757, 8755])).
% 37.99/24.39 tff(8759,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8760,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8759, 8758])).
% 37.99/24.39 tff(8761,plain,
% 37.99/24.39 ((~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8760, 543, 8742])).
% 37.99/24.39 tff(8762,plain,
% 37.99/24.39 ((~v84(constB72, bitIndex2)) | v84(constB73, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8761, 8754])).
% 37.99/24.39 tff(8763,plain,
% 37.99/24.39 (v84(constB73, bitIndex2)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8762, 8736])).
% 37.99/24.39 tff(8764,plain,
% 37.99/24.39 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB71)) | (~v124(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB71)) | (~v124(constB71, bitIndex1)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8765,plain,
% 37.99/24.39 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB71)) | (~v124(constB71, bitIndex1)))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8766,plain,
% 37.99/24.39 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB71)) | (~v124(constB71, bitIndex1))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 37.99/24.39 tff(8767,plain,
% 37.99/24.39 (~v124(constB71, bitIndex1)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8766, 1977, 8645])).
% 37.99/24.39 tff(8768,plain,
% 37.99/24.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8769,plain,
% 37.99/24.39 ((v26(constB71) | v124(constB71, bitIndex1) | (~v121(constB71, bitIndex1))) <=> ((~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8770,plain,
% 37.99/24.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB71) | v124(constB71, bitIndex1) | (~v121(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1)))),
% 37.99/24.39 inference(monotonicity,[status(thm)],[8769])).
% 37.99/24.39 tff(8771,plain,
% 37.99/24.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB71) | v124(constB71, bitIndex1) | (~v121(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1))),
% 37.99/24.39 inference(transitivity,[status(thm)],[8770, 8768])).
% 37.99/24.39 tff(8772,plain,
% 37.99/24.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB71) | v124(constB71, bitIndex1) | (~v121(constB71, bitIndex1)))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8773,plain,
% 37.99/24.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB71, bitIndex1)) | v26(constB71) | v124(constB71, bitIndex1)),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8772, 8771])).
% 37.99/24.39 tff(8774,plain,
% 37.99/24.39 ((~v121(constB71, bitIndex1)) | v124(constB71, bitIndex1)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8773, 576, 8665])).
% 37.99/24.39 tff(8775,plain,
% 37.99/24.39 (~v121(constB71, bitIndex1)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8774, 8767])).
% 37.99/24.39 tff(8776,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8777,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1)))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8778,plain,
% 37.99/24.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 37.99/24.39 tff(8779,plain,
% 37.99/24.39 (v121(constB71, bitIndex1) | (~v123(constB72, bitIndex1))),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8778, 594, 8680])).
% 37.99/24.39 tff(8780,plain,
% 37.99/24.39 (~v123(constB72, bitIndex1)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8779, 8775])).
% 37.99/24.39 tff(8781,plain,
% 37.99/24.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8782,plain,
% 37.99/24.39 (((~v84(constB72, bitIndex1)) | (~v94(constB72)) | v123(constB72, bitIndex1)) <=> ((~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8783,plain,
% 37.99/24.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~v94(constB72)) | v123(constB72, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72))))),
% 37.99/24.39 inference(monotonicity,[status(thm)],[8782])).
% 37.99/24.39 tff(8784,plain,
% 37.99/24.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~v94(constB72)) | v123(constB72, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72)))),
% 37.99/24.39 inference(transitivity,[status(thm)],[8783, 8781])).
% 37.99/24.39 tff(8785,plain,
% 37.99/24.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~v94(constB72)) | v123(constB72, bitIndex1))),
% 37.99/24.39 inference(quant_inst,[status(thm)],[])).
% 37.99/24.39 tff(8786,plain,
% 37.99/24.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | v123(constB72, bitIndex1) | (~v94(constB72))),
% 37.99/24.39 inference(modus_ponens,[status(thm)],[8785, 8784])).
% 37.99/24.39 tff(8787,plain,
% 37.99/24.39 ((~v84(constB72, bitIndex1)) | (~v94(constB72))),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8786, 609, 8780])).
% 37.99/24.39 tff(8788,plain,
% 37.99/24.39 (~v84(constB72, bitIndex1)),
% 37.99/24.39 inference(unit_resolution,[status(thm)],[8787, 8714])).
% 37.99/24.39 tff(8789,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8790,plain,
% 37.99/24.39 (((~nextState(constB72, constB73)) | v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1))) <=> (v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1)))),
% 37.99/24.39 inference(rewrite,[status(thm)],[])).
% 37.99/24.39 tff(8791,plain,
% 37.99/24.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1))))),
% 37.99/24.40 inference(monotonicity,[status(thm)],[8790])).
% 37.99/24.40 tff(8792,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1)))),
% 37.99/24.40 inference(transitivity,[status(thm)],[8791, 8789])).
% 37.99/24.40 tff(8793,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8794,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex1))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8793, 8792])).
% 37.99/24.40 tff(8795,plain,
% 37.99/24.40 (v84(constB72, bitIndex1) | v94(constB73) | (~v84(constB73, bitIndex1))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8794, 228, 8742])).
% 37.99/24.40 tff(8796,plain,
% 37.99/24.40 (v84(constB72, bitIndex1) | (~v84(constB73, bitIndex1))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8795, 8754])).
% 37.99/24.40 tff(8797,plain,
% 37.99/24.40 (~v84(constB73, bitIndex1)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8796, 8788])).
% 37.99/24.40 tff(8798,plain,
% 37.99/24.40 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB71)) | (~v124(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB71)) | (~v124(constB71, bitIndex0)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8799,plain,
% 37.99/24.40 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB71)) | (~v124(constB71, bitIndex0)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8800,plain,
% 37.99/24.40 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB71)) | (~v124(constB71, bitIndex0))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8799, 8798])).
% 37.99/24.40 tff(8801,plain,
% 37.99/24.40 (~v124(constB71, bitIndex0)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8800, 2021, 8645])).
% 37.99/24.40 tff(8802,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8803,plain,
% 37.99/24.40 ((v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0))) <=> ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8804,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0)))),
% 37.99/24.40 inference(monotonicity,[status(thm)],[8803])).
% 37.99/24.40 tff(8805,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 37.99/24.40 inference(transitivity,[status(thm)],[8804, 8802])).
% 37.99/24.40 tff(8806,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8807,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0)),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8806, 8805])).
% 37.99/24.40 tff(8808,plain,
% 37.99/24.40 ((~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8807, 650, 8665])).
% 37.99/24.40 tff(8809,plain,
% 37.99/24.40 (~v121(constB71, bitIndex0)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8808, 8801])).
% 37.99/24.40 tff(8810,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8811,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8812,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8811, 8810])).
% 37.99/24.40 tff(8813,plain,
% 37.99/24.40 (v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8812, 668, 8680])).
% 37.99/24.40 tff(8814,plain,
% 37.99/24.40 (~v123(constB72, bitIndex0)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8813, 8809])).
% 37.99/24.40 tff(8815,plain,
% 37.99/24.40 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8816,plain,
% 37.99/24.40 (((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0)) <=> ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8817,plain,
% 37.99/24.40 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72))))),
% 37.99/24.40 inference(monotonicity,[status(thm)],[8816])).
% 37.99/24.40 tff(8818,plain,
% 37.99/24.40 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 37.99/24.40 inference(transitivity,[status(thm)],[8817, 8815])).
% 37.99/24.40 tff(8819,plain,
% 37.99/24.40 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8820,plain,
% 37.99/24.40 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8819, 8818])).
% 37.99/24.40 tff(8821,plain,
% 37.99/24.40 ((~v84(constB72, bitIndex0)) | (~v94(constB72))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8820, 683, 8814])).
% 37.99/24.40 tff(8822,plain,
% 37.99/24.40 (~v84(constB72, bitIndex0)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8821, 8714])).
% 37.99/24.40 tff(8823,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8824,plain,
% 37.99/24.40 (((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0))) <=> (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8825,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0))))),
% 37.99/24.40 inference(monotonicity,[status(thm)],[8824])).
% 37.99/24.40 tff(8826,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 37.99/24.40 inference(transitivity,[status(thm)],[8825, 8823])).
% 37.99/24.40 tff(8827,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8828,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8827, 8826])).
% 37.99/24.40 tff(8829,plain,
% 37.99/24.40 (v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8828, 249, 8742])).
% 37.99/24.40 tff(8830,plain,
% 37.99/24.40 (v84(constB72, bitIndex0) | (~v84(constB73, bitIndex0))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8829, 8754])).
% 37.99/24.40 tff(8831,plain,
% 37.99/24.40 (~v84(constB73, bitIndex0)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8830, 8822])).
% 37.99/24.40 tff(8832,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8833,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8834,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73)),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 37.99/24.40 tff(8835,plain,
% 37.99/24.40 (v172(constB73)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8834, 710, 8831, 8797, 8763])).
% 37.99/24.40 tff(8836,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB73) | (~v172(constB73)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB73) | (~v172(constB73)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8837,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB73) | (~v172(constB73)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8838,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB73) | (~v172(constB73))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 37.99/24.40 tff(8839,plain,
% 37.99/24.40 (v109(constB73)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8838, 764, 8835])).
% 37.99/24.40 tff(8840,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB73) | (~v109(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB73) | (~v109(constB73)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8841,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB73) | (~v109(constB73)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8842,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB73) | (~v109(constB73))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8841, 8840])).
% 37.99/24.40 tff(8843,plain,
% 37.99/24.40 (v108(constB73)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8842, 325, 8839])).
% 37.99/24.40 tff(8844,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB73) | (~v108(constB73)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB73) | (~v108(constB73)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8845,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB73) | (~v108(constB73)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8846,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB73) | (~v108(constB73))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 37.99/24.40 tff(8847,plain,
% 37.99/24.40 (v107(constB73)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8846, 336, 8843])).
% 37.99/24.40 tff(8848,assumption,(v26(constB73)), introduced(assumption)).
% 37.99/24.40 tff(8849,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8850,plain,
% 37.99/24.40 ($false),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8849, 120, 8848])).
% 37.99/24.40 tff(8851,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 37.99/24.40 tff(8852,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8853,plain,
% 37.99/24.40 ((v26(constB73) | (~v107(constB73)) | v106(constB73)) <=> (v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8854,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73))))),
% 37.99/24.40 inference(monotonicity,[status(thm)],[8853])).
% 37.99/24.40 tff(8855,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 37.99/24.40 inference(transitivity,[status(thm)],[8854, 8852])).
% 37.99/24.40 tff(8856,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8857,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 37.99/24.40 tff(8858,plain,
% 37.99/24.40 (v106(constB73) | (~v107(constB73))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8857, 350, 8851])).
% 37.99/24.40 tff(8859,plain,
% 37.99/24.40 (v106(constB73)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8858, 8847])).
% 37.99/24.40 tff(8860,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB73) | (~v106(constB73)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB73) | (~v106(constB73)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8861,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB73) | (~v106(constB73)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8862,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB73) | (~v106(constB73))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8861, 8860])).
% 37.99/24.40 tff(8863,plain,
% 37.99/24.40 (v102(constB73)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8862, 362, 8859])).
% 37.99/24.40 tff(8864,plain,
% 37.99/24.40 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8865,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 37.99/24.40 tff(8866,plain,
% 37.99/24.40 (nextState(constB73, constB74)),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8865, 8864])).
% 37.99/24.40 tff(8867,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8868,plain,
% 37.99/24.40 (((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8869,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))))),
% 37.99/24.40 inference(monotonicity,[status(thm)],[8868])).
% 37.99/24.40 tff(8870,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 37.99/24.40 inference(transitivity,[status(thm)],[8869, 8867])).
% 37.99/24.40 tff(8871,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8872,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 37.99/24.40 tff(8873,plain,
% 37.99/24.40 (v104(constB74) | (~v102(constB73))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8872, 379, 8866])).
% 37.99/24.40 tff(8874,plain,
% 37.99/24.40 (v104(constB74)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8873, 8863])).
% 37.99/24.40 tff(8875,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8876,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8877,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 37.99/24.40 tff(8878,plain,
% 37.99/24.40 (~v98(constB74)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8877, 397, 8866, 8739])).
% 37.99/24.40 tff(8879,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8880,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8881,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74)),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8880, 8879])).
% 37.99/24.40 tff(8882,plain,
% 37.99/24.40 (v96(constB74) | v98(constB74)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8881, 411, 8866])).
% 37.99/24.40 tff(8883,plain,
% 37.99/24.40 (v96(constB74)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8882, 8878])).
% 37.99/24.40 tff(8884,plain,
% 37.99/24.40 (v1(constB74) <=> v1(constB74)),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8885,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 37.99/24.40 tff(8886,plain,
% 37.99/24.40 (v1(constB74)),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8885, 8884])).
% 37.99/24.40 tff(8887,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8888,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8889,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8888, 8887])).
% 37.99/24.40 tff(8890,plain,
% 37.99/24.40 (v95(constB74) | (~v96(constB74))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8889, 429, 8866, 8886])).
% 37.99/24.40 tff(8891,plain,
% 37.99/24.40 (v95(constB74)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8890, 8883])).
% 37.99/24.40 tff(8892,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8893,plain,
% 37.99/24.40 (((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74)) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8894,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74))))),
% 37.99/24.40 inference(monotonicity,[status(thm)],[8893])).
% 37.99/24.40 tff(8895,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 37.99/24.40 inference(transitivity,[status(thm)],[8894, 8892])).
% 37.99/24.40 tff(8896,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8897,plain,
% 37.99/24.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74))),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8896, 8895])).
% 37.99/24.40 tff(8898,plain,
% 37.99/24.40 (v94(constB74) | (~v95(constB74)) | (~v104(constB74))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8897, 444, 8866])).
% 37.99/24.40 tff(8899,plain,
% 37.99/24.40 (v94(constB74) | (~v104(constB74))),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8898, 8891])).
% 37.99/24.40 tff(8900,plain,
% 37.99/24.40 (v94(constB74)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8899, 8874])).
% 37.99/24.40 tff(8901,plain,
% 37.99/24.40 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB73)) | v124(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB73)) | v124(constB73, bitIndex1))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8902,plain,
% 37.99/24.40 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB73)) | v124(constB73, bitIndex1))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8903,plain,
% 37.99/24.40 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB73)) | v124(constB73, bitIndex1)),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 37.99/24.40 tff(8904,plain,
% 37.99/24.40 (v124(constB73, bitIndex1)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8903, 861, 8835])).
% 37.99/24.40 tff(8905,plain,
% 37.99/24.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB73) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB73) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))),
% 37.99/24.40 inference(rewrite,[status(thm)],[])).
% 37.99/24.40 tff(8906,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB73) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))),
% 37.99/24.40 inference(quant_inst,[status(thm)],[])).
% 37.99/24.40 tff(8907,plain,
% 37.99/24.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB73) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1)),
% 37.99/24.40 inference(modus_ponens,[status(thm)],[8906, 8905])).
% 37.99/24.40 tff(8908,plain,
% 37.99/24.40 ((~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8907, 875, 8851])).
% 37.99/24.40 tff(8909,plain,
% 37.99/24.40 (v121(constB73, bitIndex1)),
% 37.99/24.40 inference(unit_resolution,[status(thm)],[8908, 8904])).
% 37.99/24.40 tff(8910,plain,
% 37.99/24.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8911,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8912,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1)),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 37.99/24.41 tff(8913,plain,
% 37.99/24.41 ((~v121(constB73, bitIndex1)) | v123(constB74, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8912, 890, 8866])).
% 37.99/24.41 tff(8914,plain,
% 37.99/24.41 (v123(constB74, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8913, 8909])).
% 37.99/24.41 tff(8915,plain,
% 37.99/24.41 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8916,plain,
% 37.99/24.41 ((v84(constB74, bitIndex1) | (~v94(constB74)) | (~v123(constB74, bitIndex1))) <=> (v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8917,plain,
% 37.99/24.41 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v94(constB74)) | (~v123(constB74, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74))))),
% 37.99/24.41 inference(monotonicity,[status(thm)],[8916])).
% 37.99/24.41 tff(8918,plain,
% 37.99/24.41 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v94(constB74)) | (~v123(constB74, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74)))),
% 37.99/24.41 inference(transitivity,[status(thm)],[8917, 8915])).
% 37.99/24.41 tff(8919,plain,
% 37.99/24.41 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~v94(constB74)) | (~v123(constB74, bitIndex1)))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8920,plain,
% 37.99/24.41 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)) | (~v94(constB74))),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8919, 8918])).
% 37.99/24.41 tff(8921,plain,
% 37.99/24.41 (v84(constB74, bitIndex1) | (~v94(constB74))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8920, 905, 8914])).
% 37.99/24.41 tff(8922,plain,
% 37.99/24.41 (v84(constB74, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8921, 8900])).
% 37.99/24.41 tff(8923,plain,
% 37.99/24.41 ((~v1(constB75)) <=> (~v1(constB75))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8924,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 37.99/24.41 tff(8925,plain,
% 37.99/24.41 (~v1(constB75)),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8924, 8923])).
% 37.99/24.41 tff(8926,plain,
% 37.99/24.41 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8927,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 37.99/24.41 tff(8928,plain,
% 37.99/24.41 (nextState(constB74, constB75)),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8927, 8926])).
% 37.99/24.41 tff(8929,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8930,plain,
% 37.99/24.41 (((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8931,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))))),
% 37.99/24.41 inference(monotonicity,[status(thm)],[8930])).
% 37.99/24.41 tff(8932,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 37.99/24.41 inference(transitivity,[status(thm)],[8931, 8929])).
% 37.99/24.41 tff(8933,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8934,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 37.99/24.41 tff(8935,plain,
% 37.99/24.41 (~v95(constB75)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8934, 175, 8928, 8925])).
% 37.99/24.41 tff(8936,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8937,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8938,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75))),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 37.99/24.41 tff(8939,plain,
% 37.99/24.41 (v95(constB75) | (~v94(constB75))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8938, 192, 8928])).
% 37.99/24.41 tff(8940,plain,
% 37.99/24.41 (~v94(constB75)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8939, 8935])).
% 37.99/24.41 tff(8941,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8942,plain,
% 37.99/24.41 (((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1)) <=> ((~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8943,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1)))),
% 37.99/24.41 inference(monotonicity,[status(thm)],[8942])).
% 37.99/24.41 tff(8944,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1))),
% 37.99/24.41 inference(transitivity,[status(thm)],[8943, 8941])).
% 37.99/24.41 tff(8945,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8946,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex1)),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 37.99/24.41 tff(8947,plain,
% 37.99/24.41 ((~v84(constB74, bitIndex1)) | v94(constB75) | v84(constB75, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8946, 923, 8928])).
% 37.99/24.41 tff(8948,plain,
% 37.99/24.41 ((~v84(constB74, bitIndex1)) | v84(constB75, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8947, 8940])).
% 37.99/24.41 tff(8949,plain,
% 37.99/24.41 (v84(constB75, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8948, 8922])).
% 37.99/24.41 tff(8950,plain,
% 37.99/24.41 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB73)) | (~v124(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB73)) | (~v124(constB73, bitIndex0)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8951,plain,
% 37.99/24.41 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB73)) | (~v124(constB73, bitIndex0)))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8952,plain,
% 37.99/24.41 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB73)) | (~v124(constB73, bitIndex0))),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8951, 8950])).
% 37.99/24.41 tff(8953,plain,
% 37.99/24.41 (~v124(constB73, bitIndex0)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8952, 942, 8835])).
% 37.99/24.41 tff(8954,plain,
% 37.99/24.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8955,plain,
% 37.99/24.41 ((v26(constB73) | v124(constB73, bitIndex0) | (~v121(constB73, bitIndex0))) <=> ((~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8956,plain,
% 37.99/24.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB73) | v124(constB73, bitIndex0) | (~v121(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0)))),
% 37.99/24.41 inference(monotonicity,[status(thm)],[8955])).
% 37.99/24.41 tff(8957,plain,
% 37.99/24.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB73) | v124(constB73, bitIndex0) | (~v121(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0))),
% 37.99/24.41 inference(transitivity,[status(thm)],[8956, 8954])).
% 37.99/24.41 tff(8958,plain,
% 37.99/24.41 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB73) | v124(constB73, bitIndex0) | (~v121(constB73, bitIndex0)))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8959,plain,
% 37.99/24.41 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB73, bitIndex0)) | v26(constB73) | v124(constB73, bitIndex0)),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8958, 8957])).
% 37.99/24.41 tff(8960,plain,
% 37.99/24.41 ((~v121(constB73, bitIndex0)) | v124(constB73, bitIndex0)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8959, 650, 8851])).
% 37.99/24.41 tff(8961,plain,
% 37.99/24.41 (~v121(constB73, bitIndex0)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8960, 8953])).
% 37.99/24.41 tff(8962,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8963,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0)))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8964,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0))),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8963, 8962])).
% 37.99/24.41 tff(8965,plain,
% 37.99/24.41 (v121(constB73, bitIndex0) | (~v123(constB74, bitIndex0))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8964, 668, 8866])).
% 37.99/24.41 tff(8966,plain,
% 37.99/24.41 (~v123(constB74, bitIndex0)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8965, 8961])).
% 37.99/24.41 tff(8967,plain,
% 37.99/24.41 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8968,plain,
% 37.99/24.41 (((~v84(constB74, bitIndex0)) | (~v94(constB74)) | v123(constB74, bitIndex0)) <=> ((~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8969,plain,
% 37.99/24.41 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~v94(constB74)) | v123(constB74, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74))))),
% 37.99/24.41 inference(monotonicity,[status(thm)],[8968])).
% 37.99/24.41 tff(8970,plain,
% 37.99/24.41 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~v94(constB74)) | v123(constB74, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74)))),
% 37.99/24.41 inference(transitivity,[status(thm)],[8969, 8967])).
% 37.99/24.41 tff(8971,plain,
% 37.99/24.41 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~v94(constB74)) | v123(constB74, bitIndex0))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8972,plain,
% 37.99/24.41 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | v123(constB74, bitIndex0) | (~v94(constB74))),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8971, 8970])).
% 37.99/24.41 tff(8973,plain,
% 37.99/24.41 ((~v84(constB74, bitIndex0)) | (~v94(constB74))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8972, 683, 8966])).
% 37.99/24.41 tff(8974,plain,
% 37.99/24.41 (~v84(constB74, bitIndex0)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8973, 8900])).
% 37.99/24.41 tff(8975,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8976,plain,
% 37.99/24.41 (((~nextState(constB74, constB75)) | v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0))) <=> (v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0)))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(8977,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0))))),
% 37.99/24.41 inference(monotonicity,[status(thm)],[8976])).
% 37.99/24.41 tff(8978,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0)))),
% 37.99/24.41 inference(transitivity,[status(thm)],[8977, 8975])).
% 37.99/24.41 tff(8979,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0)))),
% 37.99/24.41 inference(quant_inst,[status(thm)],[])).
% 37.99/24.41 tff(8980,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex0))),
% 37.99/24.41 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 37.99/24.41 tff(8981,plain,
% 37.99/24.41 (v84(constB74, bitIndex0) | v94(constB75) | (~v84(constB75, bitIndex0))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8980, 249, 8928])).
% 37.99/24.41 tff(8982,plain,
% 37.99/24.41 (v84(constB74, bitIndex0) | (~v84(constB75, bitIndex0))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8981, 8940])).
% 37.99/24.41 tff(8983,plain,
% 37.99/24.41 (~v84(constB75, bitIndex0)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8982, 8974])).
% 37.99/24.41 tff(8984,assumption,(v116(constB71)), introduced(assumption)).
% 37.99/24.41 tff(8985,plain,
% 37.99/24.41 (v110(constB71)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8648, 1843, 8984])).
% 37.99/24.41 tff(8986,plain,
% 37.99/24.41 (v109(constB71)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8652, 314, 8985])).
% 37.99/24.41 tff(8987,plain,
% 37.99/24.41 (v108(constB71)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8656, 325, 8986])).
% 37.99/24.41 tff(8988,plain,
% 37.99/24.41 (v107(constB71)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8660, 336, 8987])).
% 37.99/24.41 tff(8989,plain,
% 37.99/24.41 (v106(constB71)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8672, 8988])).
% 37.99/24.41 tff(8990,plain,
% 37.99/24.41 (v102(constB71)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8676, 362, 8989])).
% 37.99/24.41 tff(8991,plain,
% 37.99/24.41 (v104(constB72)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8687, 8990])).
% 37.99/24.41 tff(8992,plain,
% 37.99/24.41 (v94(constB72)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8713, 8991])).
% 37.99/24.41 tff(8993,assumption,(v123(constB72, bitIndex2)), introduced(assumption)).
% 37.99/24.41 tff(8994,plain,
% 37.99/24.41 (v84(constB72, bitIndex2) | (~v94(constB72))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8734, 507, 8993])).
% 37.99/24.41 tff(8995,plain,
% 37.99/24.41 (v84(constB72, bitIndex2)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8994, 8992])).
% 37.99/24.41 tff(8996,plain,
% 37.99/24.41 (v84(constB73, bitIndex2)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8762, 8995])).
% 37.99/24.41 tff(8997,plain,
% 37.99/24.41 (~v124(constB71, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8766, 1977, 8984])).
% 37.99/24.41 tff(8998,plain,
% 37.99/24.41 (~v121(constB71, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8774, 8997])).
% 37.99/24.41 tff(8999,plain,
% 37.99/24.41 (~v123(constB72, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8779, 8998])).
% 37.99/24.41 tff(9000,plain,
% 37.99/24.41 ((~v84(constB72, bitIndex1)) | (~v94(constB72))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8786, 609, 8999])).
% 37.99/24.41 tff(9001,plain,
% 37.99/24.41 (~v84(constB72, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[9000, 8992])).
% 37.99/24.41 tff(9002,plain,
% 37.99/24.41 (~v84(constB73, bitIndex1)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8796, 9001])).
% 37.99/24.41 tff(9003,assumption,(~v123(constB72, bitIndex0)), introduced(assumption)).
% 37.99/24.41 tff(9004,plain,
% 37.99/24.41 ((~v84(constB72, bitIndex0)) | (~v94(constB72))),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8820, 683, 9003])).
% 37.99/24.41 tff(9005,plain,
% 37.99/24.41 (~v84(constB72, bitIndex0)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[9004, 8992])).
% 37.99/24.41 tff(9006,plain,
% 37.99/24.41 (~v84(constB73, bitIndex0)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8830, 9005])).
% 37.99/24.41 tff(9007,plain,
% 37.99/24.41 (v172(constB73)),
% 37.99/24.41 inference(unit_resolution,[status(thm)],[8834, 710, 9006, 9002, 8996])).
% 37.99/24.41 tff(9008,assumption,(~v84(constB74, bitIndex2)), introduced(assumption)).
% 37.99/24.41 tff(9009,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(9010,plain,
% 37.99/24.41 (((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2)) <=> ((~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2))),
% 37.99/24.41 inference(rewrite,[status(thm)],[])).
% 37.99/24.41 tff(9011,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2)))),
% 37.99/24.41 inference(monotonicity,[status(thm)],[9010])).
% 37.99/24.41 tff(9012,plain,
% 37.99/24.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2))),
% 37.99/24.41 inference(transitivity,[status(thm)],[9011, 9009])).
% 37.99/24.41 tff(9013,plain,
% 37.99/24.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9014,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB73, bitIndex2)) | (~nextState(constB73, constB74)) | v94(constB74) | v84(constB74, bitIndex2)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9013, 9012])).
% 37.99/24.42 tff(9015,plain,
% 37.99/24.42 ((~v84(constB73, bitIndex2)) | v94(constB74) | v84(constB74, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9014, 543, 8866])).
% 37.99/24.42 tff(9016,plain,
% 37.99/24.42 (v94(constB74)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9015, 8996, 9008])).
% 37.99/24.42 tff(9017,plain,
% 37.99/24.42 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9018,plain,
% 37.99/24.42 ((v84(constB74, bitIndex2) | (~v94(constB74)) | (~v123(constB74, bitIndex2))) <=> (v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9019,plain,
% 37.99/24.42 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v94(constB74)) | (~v123(constB74, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74))))),
% 37.99/24.42 inference(monotonicity,[status(thm)],[9018])).
% 37.99/24.42 tff(9020,plain,
% 37.99/24.42 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v94(constB74)) | (~v123(constB74, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74)))),
% 37.99/24.42 inference(transitivity,[status(thm)],[9019, 9017])).
% 37.99/24.42 tff(9021,plain,
% 37.99/24.42 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~v94(constB74)) | (~v123(constB74, bitIndex2)))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9022,plain,
% 37.99/24.42 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~v123(constB74, bitIndex2)) | (~v94(constB74))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 37.99/24.42 tff(9023,plain,
% 37.99/24.42 ((~v123(constB74, bitIndex2)) | (~v94(constB74))),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9022, 507, 9008])).
% 37.99/24.42 tff(9024,plain,
% 37.99/24.42 (~v123(constB74, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9023, 9016])).
% 37.99/24.42 tff(9025,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9026,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9027,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9026, 9025])).
% 37.99/24.42 tff(9028,plain,
% 37.99/24.42 ((~v121(constB73, bitIndex2)) | v123(constB74, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9027, 492, 8866])).
% 37.99/24.42 tff(9029,plain,
% 37.99/24.42 (~v121(constB73, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9028, 9024])).
% 37.99/24.42 tff(9030,plain,
% 37.99/24.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB73) | (~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB73) | (~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9031,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB73) | (~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9032,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB73) | (~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9031, 9030])).
% 37.99/24.42 tff(9033,plain,
% 37.99/24.42 ((~v124(constB73, bitIndex2)) | v121(constB73, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9032, 477, 8851])).
% 37.99/24.42 tff(9034,plain,
% 37.99/24.42 (~v124(constB73, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9033, 9029])).
% 37.99/24.42 tff(9035,plain,
% 37.99/24.42 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB73)) | v124(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB73)) | v124(constB73, bitIndex2))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9036,plain,
% 37.99/24.42 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB73)) | v124(constB73, bitIndex2))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9037,plain,
% 37.99/24.42 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB73)) | v124(constB73, bitIndex2)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9036, 9035])).
% 37.99/24.42 tff(9038,plain,
% 37.99/24.42 ($false),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9037, 724, 9034, 9007])).
% 37.99/24.42 tff(9039,plain,((~v116(constB71)) | v84(constB74, bitIndex2) | (~v123(constB72, bitIndex2)) | v123(constB72, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 37.99/24.42 tff(9040,plain,
% 37.99/24.42 (v84(constB74, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9039, 8728, 8645, 8814])).
% 37.99/24.42 tff(9041,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9042,plain,
% 37.99/24.42 (((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2)) <=> ((~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9043,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2)))),
% 37.99/24.42 inference(monotonicity,[status(thm)],[9042])).
% 37.99/24.42 tff(9044,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2))),
% 37.99/24.42 inference(transitivity,[status(thm)],[9043, 9041])).
% 37.99/24.42 tff(9045,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9046,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex2)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9045, 9044])).
% 37.99/24.42 tff(9047,plain,
% 37.99/24.42 ((~v84(constB74, bitIndex2)) | v94(constB75) | v84(constB75, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9046, 543, 8928])).
% 37.99/24.42 tff(9048,plain,
% 37.99/24.42 ((~v84(constB74, bitIndex2)) | v84(constB75, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9047, 8940])).
% 37.99/24.42 tff(9049,plain,
% 37.99/24.42 (v84(constB75, bitIndex2)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9048, 9040])).
% 37.99/24.42 tff(9050,plain,
% 37.99/24.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9051,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9052,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 37.99/24.42 tff(9053,plain,
% 37.99/24.42 (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v119(constB75)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9052, 986, 9049])).
% 37.99/24.42 tff(9054,plain,
% 37.99/24.42 (v119(constB75)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9053, 8983, 8949])).
% 37.99/24.42 tff(9055,plain,
% 37.99/24.42 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB75) | (~v119(constB75)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB75) | (~v119(constB75)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9056,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB75) | (~v119(constB75)))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9057,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB75) | (~v119(constB75))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 37.99/24.42 tff(9058,plain,
% 37.99/24.42 (v107(constB75)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9057, 997, 9054])).
% 37.99/24.42 tff(9059,assumption,(v26(constB75)), introduced(assumption)).
% 37.99/24.42 tff(9060,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9061,plain,
% 37.99/24.42 ($false),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9060, 120, 9059])).
% 37.99/24.42 tff(9062,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 37.99/24.42 tff(9063,plain,
% 37.99/24.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9064,plain,
% 37.99/24.42 ((v26(constB75) | (~v107(constB75)) | v106(constB75)) <=> (v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9065,plain,
% 37.99/24.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75))))),
% 37.99/24.42 inference(monotonicity,[status(thm)],[9064])).
% 37.99/24.42 tff(9066,plain,
% 37.99/24.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 37.99/24.42 inference(transitivity,[status(thm)],[9065, 9063])).
% 37.99/24.42 tff(9067,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9068,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9067, 9066])).
% 37.99/24.42 tff(9069,plain,
% 37.99/24.42 (v106(constB75) | (~v107(constB75))),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9068, 350, 9062])).
% 37.99/24.42 tff(9070,plain,
% 37.99/24.42 (v106(constB75)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9069, 9058])).
% 37.99/24.42 tff(9071,plain,
% 37.99/24.42 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB75) | (~v106(constB75)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB75) | (~v106(constB75)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9072,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB75) | (~v106(constB75)))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9073,plain,
% 37.99/24.42 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB75) | (~v106(constB75))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9072, 9071])).
% 37.99/24.42 tff(9074,plain,
% 37.99/24.42 (v102(constB75)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9073, 362, 9070])).
% 37.99/24.42 tff(9075,plain,
% 37.99/24.42 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9076,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 37.99/24.42 tff(9077,plain,
% 37.99/24.42 (nextState(constB75, constB76)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9076, 9075])).
% 37.99/24.42 tff(9078,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9079,plain,
% 37.99/24.42 (((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9080,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))))),
% 37.99/24.42 inference(monotonicity,[status(thm)],[9079])).
% 37.99/24.42 tff(9081,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 37.99/24.42 inference(transitivity,[status(thm)],[9080, 9078])).
% 37.99/24.42 tff(9082,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9083,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9082, 9081])).
% 37.99/24.42 tff(9084,plain,
% 37.99/24.42 (v104(constB76) | (~v102(constB75))),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9083, 379, 9077])).
% 37.99/24.42 tff(9085,plain,
% 37.99/24.42 (v104(constB76)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9084, 9074])).
% 37.99/24.42 tff(9086,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9087,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9088,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 37.99/24.42 tff(9089,plain,
% 37.99/24.42 (~v98(constB76)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9088, 397, 9077, 8925])).
% 37.99/24.42 tff(9090,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9091,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9092,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 37.99/24.42 tff(9093,plain,
% 37.99/24.42 (v96(constB76) | v98(constB76)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9092, 411, 9077])).
% 37.99/24.42 tff(9094,plain,
% 37.99/24.42 (v96(constB76)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9093, 9089])).
% 37.99/24.42 tff(9095,plain,
% 37.99/24.42 (v1(constB76) <=> v1(constB76)),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9096,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 37.99/24.42 tff(9097,plain,
% 37.99/24.42 (v1(constB76)),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 37.99/24.42 tff(9098,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9099,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9100,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9099, 9098])).
% 37.99/24.42 tff(9101,plain,
% 37.99/24.42 (v95(constB76) | (~v96(constB76))),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9100, 429, 9077, 9097])).
% 37.99/24.42 tff(9102,plain,
% 37.99/24.42 (v95(constB76)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9101, 9094])).
% 37.99/24.42 tff(9103,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9104,plain,
% 37.99/24.42 (((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76)) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9105,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76))))),
% 37.99/24.42 inference(monotonicity,[status(thm)],[9104])).
% 37.99/24.42 tff(9106,plain,
% 37.99/24.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 37.99/24.42 inference(transitivity,[status(thm)],[9105, 9103])).
% 37.99/24.42 tff(9107,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9108,plain,
% 37.99/24.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9107, 9106])).
% 37.99/24.42 tff(9109,plain,
% 37.99/24.42 (v94(constB76) | (~v95(constB76)) | (~v104(constB76))),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9108, 444, 9077])).
% 37.99/24.42 tff(9110,plain,
% 37.99/24.42 (v94(constB76) | (~v104(constB76))),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9109, 9102])).
% 37.99/24.42 tff(9111,plain,
% 37.99/24.42 (v94(constB76)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9110, 9085])).
% 37.99/24.42 tff(9112,plain,
% 37.99/24.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB75, bitIndex1)) | (~v172(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB75, bitIndex1)) | (~v172(constB75)))),
% 37.99/24.42 inference(rewrite,[status(thm)],[])).
% 37.99/24.42 tff(9113,plain,
% 37.99/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB75, bitIndex1)) | (~v172(constB75)))),
% 37.99/24.42 inference(quant_inst,[status(thm)],[])).
% 37.99/24.42 tff(9114,plain,
% 37.99/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB75, bitIndex1)) | (~v172(constB75))),
% 37.99/24.42 inference(modus_ponens,[status(thm)],[9113, 9112])).
% 37.99/24.42 tff(9115,plain,
% 37.99/24.42 (~v172(constB75)),
% 37.99/24.42 inference(unit_resolution,[status(thm)],[9114, 1105, 8949])).
% 37.99/24.42 tff(9116,plain,
% 37.99/24.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB75, bitIndex1)) | (~v118(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB75, bitIndex1)) | (~v118(constB75)))),
% 38.04/24.42 inference(rewrite,[status(thm)],[])).
% 38.04/24.42 tff(9117,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB75, bitIndex1)) | (~v118(constB75)))),
% 38.04/24.42 inference(quant_inst,[status(thm)],[])).
% 38.04/24.42 tff(9118,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB75, bitIndex1)) | (~v118(constB75))),
% 38.04/24.42 inference(modus_ponens,[status(thm)],[9117, 9116])).
% 38.04/24.42 tff(9119,plain,
% 38.04/24.42 (~v118(constB75)),
% 38.04/24.42 inference(unit_resolution,[status(thm)],[9118, 1094, 8949])).
% 38.04/24.42 tff(9120,plain,
% 38.04/24.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v116(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB75, bitIndex2)) | (~v116(constB75)))),
% 38.04/24.42 inference(rewrite,[status(thm)],[])).
% 38.04/24.42 tff(9121,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v116(constB75)))),
% 38.04/24.42 inference(quant_inst,[status(thm)],[])).
% 38.04/24.42 tff(9122,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB75, bitIndex2)) | (~v116(constB75))),
% 38.04/24.42 inference(modus_ponens,[status(thm)],[9121, 9120])).
% 38.04/24.42 tff(9123,plain,
% 38.04/24.42 (~v116(constB75)),
% 38.04/24.42 inference(unit_resolution,[status(thm)],[9122, 1069, 9049])).
% 38.04/24.42 tff(9124,plain,
% 38.04/24.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v115(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB75, bitIndex2)) | (~v115(constB75)))),
% 38.04/24.42 inference(rewrite,[status(thm)],[])).
% 38.04/24.42 tff(9125,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v115(constB75)))),
% 38.04/24.42 inference(quant_inst,[status(thm)],[])).
% 38.04/24.42 tff(9126,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB75, bitIndex2)) | (~v115(constB75))),
% 38.04/24.42 inference(modus_ponens,[status(thm)],[9125, 9124])).
% 38.04/24.42 tff(9127,plain,
% 38.04/24.42 (~v115(constB75)),
% 38.04/24.42 inference(unit_resolution,[status(thm)],[9126, 1058, 9049])).
% 38.04/24.42 tff(9128,plain,
% 38.04/24.42 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB75)) | (~v84(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB75)) | (~v84(constB75, bitIndex2)))),
% 38.04/24.42 inference(rewrite,[status(thm)],[])).
% 38.04/24.42 tff(9129,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB75)) | (~v84(constB75, bitIndex2)))),
% 38.04/24.42 inference(quant_inst,[status(thm)],[])).
% 38.04/24.42 tff(9130,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB75)) | (~v84(constB75, bitIndex2))),
% 38.04/24.42 inference(modus_ponens,[status(thm)],[9129, 9128])).
% 38.04/24.42 tff(9131,plain,
% 38.04/24.42 (~v113(constB75)),
% 38.04/24.42 inference(unit_resolution,[status(thm)],[9130, 5698, 9049])).
% 38.04/24.42 tff(9132,plain,
% 38.04/24.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v145(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB75, bitIndex2)) | (~v145(constB75)))),
% 38.04/24.42 inference(rewrite,[status(thm)],[])).
% 38.04/24.42 tff(9133,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v145(constB75)))),
% 38.04/24.42 inference(quant_inst,[status(thm)],[])).
% 38.04/24.42 tff(9134,plain,
% 38.04/24.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB75, bitIndex2)) | (~v145(constB75))),
% 38.04/24.42 inference(modus_ponens,[status(thm)],[9133, 9132])).
% 38.04/24.42 tff(9135,plain,
% 38.04/24.42 (~v145(constB75)),
% 38.04/24.42 inference(unit_resolution,[status(thm)],[9134, 5709, 9049])).
% 38.04/24.42 tff(9136,plain,
% 38.04/24.42 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9137,plain,
% 38.04/24.43 ((v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2))) <=> (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9138,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9137])).
% 38.04/24.43 tff(9139,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9138, 9136])).
% 38.04/24.43 tff(9140,plain,
% 38.04/24.43 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9141,plain,
% 38.04/24.43 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9140, 9139])).
% 38.04/24.43 tff(9142,plain,
% 38.04/24.43 ((~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9141, 1130, 9135, 9131, 9127, 9123])).
% 38.04/24.43 tff(9143,plain,
% 38.04/24.43 (~v124(constB75, bitIndex2)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9142, 9119, 9115])).
% 38.04/24.43 tff(9144,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9145,plain,
% 38.04/24.43 ((v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2))) <=> ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9146,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2)))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9145])).
% 38.04/24.43 tff(9147,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9146, 9144])).
% 38.04/24.43 tff(9148,plain,
% 38.04/24.43 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9149,plain,
% 38.04/24.43 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2)),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9148, 9147])).
% 38.04/24.43 tff(9150,plain,
% 38.04/24.43 ((~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9149, 1147, 9062])).
% 38.04/24.43 tff(9151,plain,
% 38.04/24.43 (~v121(constB75, bitIndex2)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9150, 9143])).
% 38.04/24.43 tff(9152,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9153,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9154,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2))),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 38.04/24.43 tff(9155,plain,
% 38.04/24.43 (v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9154, 1165, 9077])).
% 38.04/24.43 tff(9156,plain,
% 38.04/24.43 (~v123(constB76, bitIndex2)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9155, 9151])).
% 38.04/24.43 tff(9157,plain,
% 38.04/24.43 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9158,plain,
% 38.04/24.43 (((~v84(constB76, bitIndex2)) | (~v94(constB76)) | v123(constB76, bitIndex2)) <=> ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9159,plain,
% 38.04/24.43 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | (~v94(constB76)) | v123(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76))))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9158])).
% 38.04/24.43 tff(9160,plain,
% 38.04/24.43 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | (~v94(constB76)) | v123(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9159, 9157])).
% 38.04/24.43 tff(9161,plain,
% 38.04/24.43 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | (~v94(constB76)) | v123(constB76, bitIndex2))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9162,plain,
% 38.04/24.43 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76))),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 38.04/24.43 tff(9163,plain,
% 38.04/24.43 ((~v84(constB76, bitIndex2)) | (~v94(constB76))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9162, 1180, 9156])).
% 38.04/24.43 tff(9164,plain,
% 38.04/24.43 (~v84(constB76, bitIndex2)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9163, 9111])).
% 38.04/24.43 tff(9165,plain,
% 38.04/24.43 ((~v1(constB77)) <=> (~v1(constB77))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9166,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 38.04/24.43 tff(9167,plain,
% 38.04/24.43 (~v1(constB77)),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 38.04/24.43 tff(9168,plain,
% 38.04/24.43 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9169,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 38.04/24.43 tff(9170,plain,
% 38.04/24.43 (nextState(constB76, constB77)),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9169, 9168])).
% 38.04/24.43 tff(9171,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9172,plain,
% 38.04/24.43 (((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9173,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9172])).
% 38.04/24.43 tff(9174,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9173, 9171])).
% 38.04/24.43 tff(9175,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9176,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9175, 9174])).
% 38.04/24.43 tff(9177,plain,
% 38.04/24.43 (~v95(constB77)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9176, 175, 9170, 9167])).
% 38.04/24.43 tff(9178,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9179,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9180,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77))),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9179, 9178])).
% 38.04/24.43 tff(9181,plain,
% 38.04/24.43 (v95(constB77) | (~v94(constB77))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9180, 192, 9170])).
% 38.04/24.43 tff(9182,plain,
% 38.04/24.43 (~v94(constB77)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9181, 9177])).
% 38.04/24.43 tff(9183,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9184,plain,
% 38.04/24.43 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2))) <=> (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9185,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2))))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9184])).
% 38.04/24.43 tff(9186,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9185, 9183])).
% 38.04/24.43 tff(9187,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9188,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2))),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9187, 9186])).
% 38.04/24.43 tff(9189,plain,
% 38.04/24.43 (v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9188, 207, 9170])).
% 38.04/24.43 tff(9190,plain,
% 38.04/24.43 (v84(constB76, bitIndex2) | (~v84(constB77, bitIndex2))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9189, 9182])).
% 38.04/24.43 tff(9191,plain,
% 38.04/24.43 (~v84(constB77, bitIndex2)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9190, 9164])).
% 38.04/24.43 tff(9192,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9193,plain,
% 38.04/24.43 ((v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex1))) <=> (v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9194,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9193])).
% 38.04/24.43 tff(9195,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9194, 9192])).
% 38.04/24.43 tff(9196,plain,
% 38.04/24.43 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex1)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9197,plain,
% 38.04/24.43 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB75) | (~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9196, 9195])).
% 38.04/24.43 tff(9198,plain,
% 38.04/24.43 ((~v124(constB75, bitIndex1)) | v172(constB75) | v118(constB75)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9197, 1225, 9135, 9131, 9127, 9123])).
% 38.04/24.43 tff(9199,plain,
% 38.04/24.43 (~v124(constB75, bitIndex1)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9198, 9119, 9115])).
% 38.04/24.43 tff(9200,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9201,plain,
% 38.04/24.43 ((v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1))) <=> ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9202,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1)))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9201])).
% 38.04/24.43 tff(9203,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9202, 9200])).
% 38.04/24.43 tff(9204,plain,
% 38.04/24.43 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9205,plain,
% 38.04/24.43 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1)),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 38.04/24.43 tff(9206,plain,
% 38.04/24.43 ((~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9205, 576, 9062])).
% 38.04/24.43 tff(9207,plain,
% 38.04/24.43 (~v121(constB75, bitIndex1)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9206, 9199])).
% 38.04/24.43 tff(9208,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9209,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9210,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1))),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 38.04/24.43 tff(9211,plain,
% 38.04/24.43 (v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9210, 594, 9077])).
% 38.04/24.43 tff(9212,plain,
% 38.04/24.43 (~v123(constB76, bitIndex1)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9211, 9207])).
% 38.04/24.43 tff(9213,plain,
% 38.04/24.43 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9214,plain,
% 38.04/24.43 (((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1)) <=> ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9215,plain,
% 38.04/24.43 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76))))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9214])).
% 38.04/24.43 tff(9216,plain,
% 38.04/24.43 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9215, 9213])).
% 38.04/24.43 tff(9217,plain,
% 38.04/24.43 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9218,plain,
% 38.04/24.43 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76))),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9217, 9216])).
% 38.04/24.43 tff(9219,plain,
% 38.04/24.43 ((~v84(constB76, bitIndex1)) | (~v94(constB76))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9218, 609, 9212])).
% 38.04/24.43 tff(9220,plain,
% 38.04/24.43 (~v84(constB76, bitIndex1)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9219, 9111])).
% 38.04/24.43 tff(9221,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9222,plain,
% 38.04/24.43 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1))) <=> (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9223,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1))))),
% 38.04/24.43 inference(monotonicity,[status(thm)],[9222])).
% 38.04/24.43 tff(9224,plain,
% 38.04/24.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 38.04/24.43 inference(transitivity,[status(thm)],[9223, 9221])).
% 38.04/24.43 tff(9225,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 38.04/24.43 inference(quant_inst,[status(thm)],[])).
% 38.04/24.43 tff(9226,plain,
% 38.04/24.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1))),
% 38.04/24.43 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 38.04/24.43 tff(9227,plain,
% 38.04/24.43 (v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9226, 228, 9170])).
% 38.04/24.43 tff(9228,plain,
% 38.04/24.43 (v84(constB76, bitIndex1) | (~v84(constB77, bitIndex1))),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9227, 9182])).
% 38.04/24.43 tff(9229,plain,
% 38.04/24.43 (~v84(constB77, bitIndex1)),
% 38.04/24.43 inference(unit_resolution,[status(thm)],[9228, 9220])).
% 38.04/24.43 tff(9230,plain,
% 38.04/24.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9231,plain,
% 38.04/24.43 ((v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0)) <=> (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.43 inference(rewrite,[status(thm)],[])).
% 38.04/24.43 tff(9232,plain,
% 38.04/24.44 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)))),
% 38.04/24.44 inference(monotonicity,[status(thm)],[9231])).
% 38.04/24.44 tff(9233,plain,
% 38.04/24.44 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 38.04/24.44 inference(transitivity,[status(thm)],[9232, 9230])).
% 38.04/24.44 tff(9234,plain,
% 38.04/24.44 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))),
% 38.04/24.44 inference(quant_inst,[status(thm)],[])).
% 38.04/24.44 tff(9235,plain,
% 38.04/24.44 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 38.04/24.44 inference(modus_ponens,[status(thm)],[9234, 9233])).
% 38.04/24.44 tff(9236,plain,
% 38.04/24.44 (v124(constB75, bitIndex0) | v172(constB75) | v118(constB75)),
% 38.04/24.44 inference(unit_resolution,[status(thm)],[9235, 1272, 9135, 9131, 9127, 9123])).
% 38.04/24.44 tff(9237,plain,
% 38.04/24.44 (v124(constB75, bitIndex0)),
% 38.04/24.44 inference(unit_resolution,[status(thm)],[9236, 9119, 9115])).
% 38.04/24.44 tff(9238,plain,
% 38.04/24.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))),
% 38.04/24.44 inference(rewrite,[status(thm)],[])).
% 38.04/24.44 tff(9239,plain,
% 38.04/24.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))),
% 38.04/24.44 inference(quant_inst,[status(thm)],[])).
% 38.04/24.44 tff(9240,plain,
% 38.04/24.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0)),
% 38.04/24.44 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 38.04/24.44 tff(9241,plain,
% 38.04/24.44 ((~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0)),
% 38.04/24.44 inference(unit_resolution,[status(thm)],[9240, 1289, 9062])).
% 38.04/24.44 tff(9242,plain,
% 38.04/24.44 (v121(constB75, bitIndex0)),
% 38.04/24.44 inference(unit_resolution,[status(thm)],[9241, 9237])).
% 38.04/24.44 tff(9243,plain,
% 38.04/24.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))),
% 38.04/24.44 inference(rewrite,[status(thm)],[])).
% 38.04/24.44 tff(9244,plain,
% 38.04/24.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))),
% 38.04/24.44 inference(quant_inst,[status(thm)],[])).
% 38.04/24.44 tff(9245,plain,
% 38.04/24.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0)),
% 38.04/24.44 inference(modus_ponens,[status(thm)],[9244, 9243])).
% 38.04/24.44 tff(9246,plain,
% 38.04/24.44 ((~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0)),
% 38.04/24.44 inference(unit_resolution,[status(thm)],[9245, 1304, 9077])).
% 38.04/24.44 tff(9247,plain,
% 38.04/24.44 (v123(constB76, bitIndex0)),
% 38.04/24.44 inference(unit_resolution,[status(thm)],[9246, 9242])).
% 38.04/24.44 tff(9248,plain,
% 38.04/24.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 38.04/24.44 inference(rewrite,[status(thm)],[])).
% 38.04/24.44 tff(9249,plain,
% 38.04/24.44 ((v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0))) <=> (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 38.04/24.44 inference(rewrite,[status(thm)],[])).
% 38.04/24.44 tff(9250,plain,
% 38.04/24.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76))))),
% 38.04/24.44 inference(monotonicity,[status(thm)],[9249])).
% 38.04/24.44 tff(9251,plain,
% 38.04/24.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 38.04/24.44 inference(transitivity,[status(thm)],[9250, 9248])).
% 38.04/24.44 tff(9252,plain,
% 38.04/24.44 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))),
% 38.04/24.44 inference(quant_inst,[status(thm)],[])).
% 38.04/24.44 tff(9253,plain,
% 38.04/24.44 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76))),
% 38.04/24.44 inference(modus_ponens,[status(thm)],[9252, 9251])).
% 38.04/24.44 tff(9254,plain,
% 38.04/24.44 (v84(constB76, bitIndex0) | (~v94(constB76))),
% 38.04/24.44 inference(unit_resolution,[status(thm)],[9253, 1319, 9247])).
% 38.04/24.44 tff(9255,plain,
% 38.04/24.44 (v84(constB76, bitIndex0)),
% 38.04/24.44 inference(unit_resolution,[status(thm)],[9254, 9111])).
% 38.04/24.44 tff(9256,plain,
% 38.04/24.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 38.04/24.44 inference(rewrite,[status(thm)],[])).
% 38.04/24.44 tff(9257,plain,
% 38.04/24.44 (((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0)) <=> ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 38.04/24.44 inference(rewrite,[status(thm)],[])).
% 38.04/24.44 tff(9258,plain,
% 38.04/24.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0)))),
% 38.05/24.44 inference(monotonicity,[status(thm)],[9257])).
% 38.05/24.44 tff(9259,plain,
% 38.05/24.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 38.05/24.44 inference(transitivity,[status(thm)],[9258, 9256])).
% 38.05/24.44 tff(9260,plain,
% 38.05/24.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))),
% 38.05/24.44 inference(quant_inst,[status(thm)],[])).
% 38.05/24.44 tff(9261,plain,
% 38.05/24.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0)),
% 38.05/24.44 inference(modus_ponens,[status(thm)],[9260, 9259])).
% 38.05/24.44 tff(9262,plain,
% 38.05/24.44 ((~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0)),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9261, 1337, 9170])).
% 38.05/24.44 tff(9263,plain,
% 38.05/24.44 ((~v84(constB76, bitIndex0)) | v84(constB77, bitIndex0)),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9262, 9182])).
% 38.05/24.44 tff(9264,plain,
% 38.05/24.44 (v84(constB77, bitIndex0)),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9263, 9255])).
% 38.05/24.44 tff(9265,plain,
% 38.05/24.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))),
% 38.05/24.44 inference(rewrite,[status(thm)],[])).
% 38.05/24.44 tff(9266,plain,
% 38.05/24.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))),
% 38.05/24.44 inference(quant_inst,[status(thm)],[])).
% 38.05/24.44 tff(9267,plain,
% 38.05/24.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77)),
% 38.05/24.44 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 38.05/24.44 tff(9268,plain,
% 38.05/24.44 (v145(constB77)),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9267, 1356, 9264, 9229, 9191])).
% 38.05/24.44 tff(9269,plain,
% 38.05/24.44 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB77)) | (~v124(constB77, bitIndex0)))),
% 38.05/24.44 inference(rewrite,[status(thm)],[])).
% 38.05/24.44 tff(9270,plain,
% 38.05/24.44 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex0)))),
% 38.05/24.44 inference(quant_inst,[status(thm)],[])).
% 38.05/24.44 tff(9271,plain,
% 38.05/24.44 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB77)) | (~v124(constB77, bitIndex0))),
% 38.05/24.44 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 38.05/24.44 tff(9272,plain,
% 38.05/24.44 (~v124(constB77, bitIndex0)),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9271, 1554, 9268])).
% 38.05/24.44 tff(9273,assumption,(v121(constB77, bitIndex0)), introduced(assumption)).
% 38.05/24.44 tff(9274,assumption,(~v124(constB77, bitIndex0)), introduced(assumption)).
% 38.05/24.44 tff(9275,plain,
% 38.05/24.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 38.05/24.44 inference(rewrite,[status(thm)],[])).
% 38.05/24.44 tff(9276,plain,
% 38.05/24.44 ((v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0))) <=> ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 38.05/24.44 inference(rewrite,[status(thm)],[])).
% 38.05/24.44 tff(9277,plain,
% 38.05/24.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0)))),
% 38.05/24.44 inference(monotonicity,[status(thm)],[9276])).
% 38.05/24.44 tff(9278,plain,
% 38.05/24.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 38.05/24.44 inference(transitivity,[status(thm)],[9277, 9275])).
% 38.05/24.44 tff(9279,plain,
% 38.05/24.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))),
% 38.05/24.44 inference(quant_inst,[status(thm)],[])).
% 38.05/24.44 tff(9280,plain,
% 38.05/24.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0)),
% 38.05/24.44 inference(modus_ponens,[status(thm)],[9279, 9278])).
% 38.05/24.44 tff(9281,plain,
% 38.05/24.44 ((~v121(constB77, bitIndex0)) | v26(constB77)),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9280, 650, 9274])).
% 38.05/24.44 tff(9282,plain,
% 38.05/24.44 (v26(constB77)),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9281, 9273])).
% 38.05/24.44 tff(9283,plain,
% 38.05/24.44 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB77)) | (~v121(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB77)) | (~v121(constB77, bitIndex0)))),
% 38.05/24.44 inference(rewrite,[status(thm)],[])).
% 38.05/24.44 tff(9284,plain,
% 38.05/24.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB77)) | (~v121(constB77, bitIndex0)))),
% 38.05/24.44 inference(quant_inst,[status(thm)],[])).
% 38.05/24.44 tff(9285,plain,
% 38.05/24.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB77)) | (~v121(constB77, bitIndex0))),
% 38.05/24.44 inference(modus_ponens,[status(thm)],[9284, 9283])).
% 38.05/24.44 tff(9286,plain,
% 38.05/24.44 ($false),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9285, 2233, 9273, 9282])).
% 38.05/24.44 tff(9287,plain,((~v121(constB77, bitIndex0)) | v124(constB77, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.05/24.44 tff(9288,plain,
% 38.05/24.44 (~v121(constB77, bitIndex0)),
% 38.05/24.44 inference(unit_resolution,[status(thm)],[9287, 9272])).
% 38.05/24.44 tff(9289,plain,
% 38.05/24.44 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 38.05/24.44 inference(rewrite,[status(thm)],[])).
% 38.05/24.44 tff(9290,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 38.05/24.44 tff(9291,plain,
% 38.05/24.44 (nextState(constB77, constB78)),
% 38.05/24.44 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 38.05/24.44 tff(9292,plain,
% 38.05/24.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))),
% 38.05/24.44 inference(rewrite,[status(thm)],[])).
% 38.05/24.44 tff(9293,plain,
% 38.05/24.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9294,plain,
% 38.05/24.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0))),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 38.05/24.45 tff(9295,plain,
% 38.05/24.45 (v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0))),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9294, 668, 9291])).
% 38.05/24.45 tff(9296,plain,
% 38.05/24.45 (~v123(constB78, bitIndex0)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9295, 9288])).
% 38.05/24.45 tff(9297,plain,
% 38.05/24.45 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB77)) | (~v124(constB77, bitIndex2)))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9298,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex2)))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9299,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB77)) | (~v124(constB77, bitIndex2))),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 38.05/24.45 tff(9300,plain,
% 38.05/24.45 (~v124(constB77, bitIndex2)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9299, 1451, 9268])).
% 38.05/24.45 tff(9301,assumption,(v26(constB77)), introduced(assumption)).
% 38.05/24.45 tff(9302,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9303,plain,
% 38.05/24.45 ($false),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9302, 120, 9301])).
% 38.05/24.45 tff(9304,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 38.05/24.45 tff(9305,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9306,plain,
% 38.05/24.45 ((v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2))) <=> ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9307,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2)))),
% 38.05/24.45 inference(monotonicity,[status(thm)],[9306])).
% 38.05/24.45 tff(9308,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(transitivity,[status(thm)],[9307, 9305])).
% 38.05/24.45 tff(9309,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9310,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 38.05/24.45 tff(9311,plain,
% 38.05/24.45 ((~v121(constB77, bitIndex2)) | v124(constB77, bitIndex2)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9310, 1147, 9304])).
% 38.05/24.45 tff(9312,plain,
% 38.05/24.45 (~v121(constB77, bitIndex2)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9311, 9300])).
% 38.05/24.45 tff(9313,assumption,(~v123(constB78, bitIndex0)), introduced(assumption)).
% 38.05/24.45 tff(9314,plain,
% 38.05/24.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9315,plain,
% 38.05/24.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9316,plain,
% 38.05/24.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9315, 9314])).
% 38.05/24.45 tff(9317,plain,
% 38.05/24.45 ((~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9316, 1304, 9291])).
% 38.05/24.45 tff(9318,plain,
% 38.05/24.45 (~v121(constB77, bitIndex0)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9317, 9313])).
% 38.05/24.45 tff(9319,assumption,(~v115(constB79)), introduced(assumption)).
% 38.05/24.45 tff(9320,assumption,(~v121(constB77, bitIndex2)), introduced(assumption)).
% 38.05/24.45 tff(9321,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB77) | (~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB77) | (~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9322,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB77) | (~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9323,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB77) | (~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9322, 9321])).
% 38.05/24.45 tff(9324,plain,
% 38.05/24.45 ((~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9323, 477, 9304])).
% 38.05/24.45 tff(9325,plain,
% 38.05/24.45 (~v124(constB77, bitIndex2)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9324, 9320])).
% 38.05/24.45 tff(9326,plain,
% 38.05/24.45 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB77)) | v124(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB77)) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9327,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB77)) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9328,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB77)) | v124(constB77, bitIndex2)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9327, 9326])).
% 38.05/24.45 tff(9329,plain,
% 38.05/24.45 (~v172(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9328, 724, 9325])).
% 38.05/24.45 tff(9330,assumption,(~v26(constB77)), introduced(assumption)).
% 38.05/24.45 tff(9331,plain,
% 38.05/24.45 ((~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9323, 477, 9330])).
% 38.05/24.45 tff(9332,plain,
% 38.05/24.45 (~v124(constB77, bitIndex2)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9331, 9320])).
% 38.05/24.45 tff(9333,plain,
% 38.05/24.45 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB77)) | v124(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB77)) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9334,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB77)) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9335,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB77)) | v124(constB77, bitIndex2)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 38.05/24.45 tff(9336,plain,
% 38.05/24.45 (~v113(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9335, 463, 9332])).
% 38.05/24.45 tff(9337,plain,
% 38.05/24.45 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB77)) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB77)) | v124(constB77, bitIndex0))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9338,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB77)) | v124(constB77, bitIndex0))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9339,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB77)) | v124(constB77, bitIndex0)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 38.05/24.45 tff(9340,plain,
% 38.05/24.45 (~v115(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9339, 1791, 9274])).
% 38.05/24.45 tff(9341,assumption,(~v172(constB77)), introduced(assumption)).
% 38.05/24.45 tff(9342,plain,
% 38.05/24.45 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB77)) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB77)) | v124(constB77, bitIndex0))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9343,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB77)) | v124(constB77, bitIndex0))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9344,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB77)) | v124(constB77, bitIndex0)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9343, 9342])).
% 38.05/24.45 tff(9345,plain,
% 38.05/24.45 (~v118(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9344, 8572, 9274])).
% 38.05/24.45 tff(9346,plain,
% 38.05/24.45 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB77)) | v124(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB77)) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9347,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB77)) | v124(constB77, bitIndex2))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9348,plain,
% 38.05/24.45 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB77)) | v124(constB77, bitIndex2)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9347, 9346])).
% 38.05/24.45 tff(9349,plain,
% 38.05/24.45 (~v116(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9348, 1918, 9332])).
% 38.05/24.45 tff(9350,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9351,plain,
% 38.05/24.45 ((v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | v124(constB77, bitIndex0)) <=> (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9352,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0)))),
% 38.05/24.45 inference(monotonicity,[status(thm)],[9351])).
% 38.05/24.45 tff(9353,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0))),
% 38.05/24.45 inference(transitivity,[status(thm)],[9352, 9350])).
% 38.05/24.45 tff(9354,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | v124(constB77, bitIndex0))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9355,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0)),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 38.05/24.45 tff(9356,plain,
% 38.05/24.45 (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9355, 1272, 9274])).
% 38.05/24.45 tff(9357,plain,
% 38.05/24.45 (v145(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9356, 9349, 9345, 9341, 9340, 9336])).
% 38.05/24.45 tff(9358,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB77) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB77) | (~v145(constB77)))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9359,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB77) | (~v145(constB77)))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9360,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB77) | (~v145(constB77))),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9359, 9358])).
% 38.05/24.45 tff(9361,plain,
% 38.05/24.45 (v112(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9360, 1367, 9357])).
% 38.05/24.45 tff(9362,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB77) | (~v112(constB77)))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9363,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB77) | (~v112(constB77)))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9364,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB77) | (~v112(constB77))),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9363, 9362])).
% 38.05/24.45 tff(9365,plain,
% 38.05/24.45 (v111(constB77)),
% 38.05/24.45 inference(unit_resolution,[status(thm)],[9364, 292, 9361])).
% 38.05/24.45 tff(9366,plain,
% 38.05/24.45 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB77) | (~v111(constB77)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB77) | (~v111(constB77)))),
% 38.05/24.45 inference(rewrite,[status(thm)],[])).
% 38.05/24.45 tff(9367,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB77) | (~v111(constB77)))),
% 38.05/24.45 inference(quant_inst,[status(thm)],[])).
% 38.05/24.45 tff(9368,plain,
% 38.05/24.45 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB77) | (~v111(constB77))),
% 38.05/24.45 inference(modus_ponens,[status(thm)],[9367, 9366])).
% 38.05/24.45 tff(9369,plain,
% 38.05/24.45 (v110(constB77)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9368, 303, 9365])).
% 38.05/24.46 tff(9370,plain,
% 38.05/24.46 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB77) | (~v110(constB77)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB77) | (~v110(constB77)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9371,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB77) | (~v110(constB77)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9372,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB77) | (~v110(constB77))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9371, 9370])).
% 38.05/24.46 tff(9373,plain,
% 38.05/24.46 (v109(constB77)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9372, 314, 9369])).
% 38.05/24.46 tff(9374,plain,
% 38.05/24.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB77) | (~v109(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB77) | (~v109(constB77)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9375,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB77) | (~v109(constB77)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9376,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB77) | (~v109(constB77))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9375, 9374])).
% 38.05/24.46 tff(9377,plain,
% 38.05/24.46 (v108(constB77)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9376, 325, 9373])).
% 38.05/24.46 tff(9378,plain,
% 38.05/24.46 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB77) | (~v108(constB77)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB77) | (~v108(constB77)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9379,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB77) | (~v108(constB77)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9380,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB77) | (~v108(constB77))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9379, 9378])).
% 38.05/24.46 tff(9381,plain,
% 38.05/24.46 (v107(constB77)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9380, 336, 9377])).
% 38.05/24.46 tff(9382,plain,
% 38.05/24.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9383,plain,
% 38.05/24.46 ((v26(constB77) | (~v107(constB77)) | v106(constB77)) <=> (v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9384,plain,
% 38.05/24.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77))))),
% 38.05/24.46 inference(monotonicity,[status(thm)],[9383])).
% 38.05/24.46 tff(9385,plain,
% 38.05/24.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 38.05/24.46 inference(transitivity,[status(thm)],[9384, 9382])).
% 38.05/24.46 tff(9386,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9387,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 38.05/24.46 tff(9388,plain,
% 38.05/24.46 (v106(constB77) | (~v107(constB77))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9387, 350, 9330])).
% 38.05/24.46 tff(9389,plain,
% 38.05/24.46 (v106(constB77)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9388, 9381])).
% 38.05/24.46 tff(9390,plain,
% 38.05/24.46 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB77) | (~v106(constB77)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB77) | (~v106(constB77)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9391,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB77) | (~v106(constB77)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9392,plain,
% 38.05/24.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB77) | (~v106(constB77))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9391, 9390])).
% 38.05/24.46 tff(9393,plain,
% 38.05/24.46 (v102(constB77)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9392, 362, 9389])).
% 38.05/24.46 tff(9394,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9395,plain,
% 38.05/24.46 (((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9396,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))))),
% 38.05/24.46 inference(monotonicity,[status(thm)],[9395])).
% 38.05/24.46 tff(9397,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 38.05/24.46 inference(transitivity,[status(thm)],[9396, 9394])).
% 38.05/24.46 tff(9398,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9399,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 38.05/24.46 tff(9400,plain,
% 38.05/24.46 (v104(constB78) | (~v102(constB77))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9399, 379, 9291])).
% 38.05/24.46 tff(9401,plain,
% 38.05/24.46 (v104(constB78)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9400, 9393])).
% 38.05/24.46 tff(9402,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9403,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9404,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 38.05/24.46 tff(9405,plain,
% 38.05/24.46 (~v98(constB78)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9404, 397, 9291, 9167])).
% 38.05/24.46 tff(9406,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9407,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9408,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78)),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 38.05/24.46 tff(9409,plain,
% 38.05/24.46 (v96(constB78) | v98(constB78)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9408, 411, 9291])).
% 38.05/24.46 tff(9410,plain,
% 38.05/24.46 (v96(constB78)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9409, 9405])).
% 38.05/24.46 tff(9411,plain,
% 38.05/24.46 (v1(constB78) <=> v1(constB78)),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9412,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 38.05/24.46 tff(9413,plain,
% 38.05/24.46 (v1(constB78)),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 38.05/24.46 tff(9414,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9415,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9416,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9415, 9414])).
% 38.05/24.46 tff(9417,plain,
% 38.05/24.46 (v95(constB78) | (~v96(constB78))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9416, 429, 9291, 9413])).
% 38.05/24.46 tff(9418,plain,
% 38.05/24.46 (v95(constB78)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9417, 9410])).
% 38.05/24.46 tff(9419,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9420,plain,
% 38.05/24.46 (((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78)) <=> ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9421,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78))))),
% 38.05/24.46 inference(monotonicity,[status(thm)],[9420])).
% 38.05/24.46 tff(9422,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 38.05/24.46 inference(transitivity,[status(thm)],[9421, 9419])).
% 38.05/24.46 tff(9423,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9424,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9423, 9422])).
% 38.05/24.46 tff(9425,plain,
% 38.05/24.46 (v94(constB78) | (~v95(constB78)) | (~v104(constB78))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9424, 444, 9291])).
% 38.05/24.46 tff(9426,plain,
% 38.05/24.46 (v94(constB78) | (~v104(constB78))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9425, 9418])).
% 38.05/24.46 tff(9427,plain,
% 38.05/24.46 (v94(constB78)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9426, 9401])).
% 38.05/24.46 tff(9428,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9429,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9430,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9429, 9428])).
% 38.05/24.46 tff(9431,plain,
% 38.05/24.46 (v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9430, 1165, 9291])).
% 38.05/24.46 tff(9432,plain,
% 38.05/24.46 (~v123(constB78, bitIndex2)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9431, 9320])).
% 38.05/24.46 tff(9433,plain,
% 38.05/24.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9434,plain,
% 38.05/24.46 (((~v84(constB78, bitIndex2)) | (~v94(constB78)) | v123(constB78, bitIndex2)) <=> ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9435,plain,
% 38.05/24.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~v94(constB78)) | v123(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78))))),
% 38.05/24.46 inference(monotonicity,[status(thm)],[9434])).
% 38.05/24.46 tff(9436,plain,
% 38.05/24.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~v94(constB78)) | v123(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 38.05/24.46 inference(transitivity,[status(thm)],[9435, 9433])).
% 38.05/24.46 tff(9437,plain,
% 38.05/24.46 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~v94(constB78)) | v123(constB78, bitIndex2))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9438,plain,
% 38.05/24.46 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9437, 9436])).
% 38.05/24.46 tff(9439,plain,
% 38.05/24.46 ((~v84(constB78, bitIndex2)) | (~v94(constB78))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9438, 1180, 9432])).
% 38.05/24.46 tff(9440,plain,
% 38.05/24.46 (~v84(constB78, bitIndex2)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9439, 9427])).
% 38.05/24.46 tff(9441,plain,
% 38.05/24.46 ((~v1(constB79)) <=> (~v1(constB79))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9442,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 38.05/24.46 tff(9443,plain,
% 38.05/24.46 (~v1(constB79)),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9442, 9441])).
% 38.05/24.46 tff(9444,plain,
% 38.05/24.46 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9445,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 38.05/24.46 tff(9446,plain,
% 38.05/24.46 (nextState(constB78, constB79)),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 38.05/24.46 tff(9447,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9448,plain,
% 38.05/24.46 (((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9449,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))))),
% 38.05/24.46 inference(monotonicity,[status(thm)],[9448])).
% 38.05/24.46 tff(9450,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 38.05/24.46 inference(transitivity,[status(thm)],[9449, 9447])).
% 38.05/24.46 tff(9451,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9452,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9451, 9450])).
% 38.05/24.46 tff(9453,plain,
% 38.05/24.46 (~v95(constB79)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9452, 175, 9446, 9443])).
% 38.05/24.46 tff(9454,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9455,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9456,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9455, 9454])).
% 38.05/24.46 tff(9457,plain,
% 38.05/24.46 (v95(constB79) | (~v94(constB79))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9456, 192, 9446])).
% 38.05/24.46 tff(9458,plain,
% 38.05/24.46 (~v94(constB79)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9457, 9453])).
% 38.05/24.46 tff(9459,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9460,plain,
% 38.05/24.46 (((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2))) <=> (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9461,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2))))),
% 38.05/24.46 inference(monotonicity,[status(thm)],[9460])).
% 38.05/24.46 tff(9462,plain,
% 38.05/24.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 38.05/24.46 inference(transitivity,[status(thm)],[9461, 9459])).
% 38.05/24.46 tff(9463,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 38.05/24.46 inference(quant_inst,[status(thm)],[])).
% 38.05/24.46 tff(9464,plain,
% 38.05/24.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2))),
% 38.05/24.46 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 38.05/24.46 tff(9465,plain,
% 38.05/24.46 (v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9464, 207, 9446])).
% 38.05/24.46 tff(9466,plain,
% 38.05/24.46 (v84(constB78, bitIndex2) | (~v84(constB79, bitIndex2))),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9465, 9458])).
% 38.05/24.46 tff(9467,plain,
% 38.05/24.46 (~v84(constB79, bitIndex2)),
% 38.05/24.46 inference(unit_resolution,[status(thm)],[9466, 9440])).
% 38.05/24.46 tff(9468,plain,
% 38.05/24.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9469,plain,
% 38.05/24.46 (((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0)) <=> ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 38.05/24.46 inference(rewrite,[status(thm)],[])).
% 38.05/24.46 tff(9470,plain,
% 38.05/24.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78))))),
% 38.05/24.47 inference(monotonicity,[status(thm)],[9469])).
% 38.05/24.47 tff(9471,plain,
% 38.05/24.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 38.05/24.47 inference(transitivity,[status(thm)],[9470, 9468])).
% 38.05/24.47 tff(9472,plain,
% 38.05/24.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9473,plain,
% 38.05/24.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9472, 9471])).
% 38.05/24.47 tff(9474,plain,
% 38.05/24.47 ((~v84(constB78, bitIndex0)) | (~v94(constB78))),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9473, 683, 9313])).
% 38.05/24.47 tff(9475,plain,
% 38.05/24.47 (~v84(constB78, bitIndex0)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9474, 9427])).
% 38.05/24.47 tff(9476,plain,
% 38.05/24.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9477,plain,
% 38.05/24.47 (((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0))) <=> (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9478,plain,
% 38.05/24.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0))))),
% 38.05/24.47 inference(monotonicity,[status(thm)],[9477])).
% 38.05/24.47 tff(9479,plain,
% 38.05/24.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 38.05/24.47 inference(transitivity,[status(thm)],[9478, 9476])).
% 38.05/24.47 tff(9480,plain,
% 38.05/24.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9481,plain,
% 38.05/24.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 38.05/24.47 tff(9482,plain,
% 38.05/24.47 (v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0))),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9481, 249, 9446])).
% 38.05/24.47 tff(9483,plain,
% 38.05/24.47 (v84(constB78, bitIndex0) | (~v84(constB79, bitIndex0))),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9482, 9458])).
% 38.05/24.47 tff(9484,plain,
% 38.05/24.47 (~v84(constB79, bitIndex0)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9483, 9475])).
% 38.05/24.47 tff(9485,plain,
% 38.05/24.47 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB77)) | v124(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB77)) | v124(constB77, bitIndex1))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9486,plain,
% 38.05/24.47 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB77)) | v124(constB77, bitIndex1))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9487,plain,
% 38.05/24.47 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB77)) | v124(constB77, bitIndex1)),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9486, 9485])).
% 38.05/24.47 tff(9488,plain,
% 38.05/24.47 (v124(constB77, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9487, 1513, 9357])).
% 38.05/24.47 tff(9489,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9490,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9491,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9490, 9489])).
% 38.05/24.47 tff(9492,plain,
% 38.05/24.47 ((~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9491, 875, 9330])).
% 38.05/24.47 tff(9493,plain,
% 38.05/24.47 (v121(constB77, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9492, 9488])).
% 38.05/24.47 tff(9494,plain,
% 38.05/24.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9495,plain,
% 38.05/24.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9496,plain,
% 38.05/24.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1)),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9495, 9494])).
% 38.05/24.47 tff(9497,plain,
% 38.05/24.47 ((~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9496, 890, 9291])).
% 38.05/24.47 tff(9498,plain,
% 38.05/24.47 (v123(constB78, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9497, 9493])).
% 38.05/24.47 tff(9499,plain,
% 38.05/24.47 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9500,plain,
% 38.05/24.47 ((v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1))) <=> (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9501,plain,
% 38.05/24.47 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78))))),
% 38.05/24.47 inference(monotonicity,[status(thm)],[9500])).
% 38.05/24.47 tff(9502,plain,
% 38.05/24.47 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 38.05/24.47 inference(transitivity,[status(thm)],[9501, 9499])).
% 38.05/24.47 tff(9503,plain,
% 38.05/24.47 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9504,plain,
% 38.05/24.47 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 38.05/24.47 tff(9505,plain,
% 38.05/24.47 (v84(constB78, bitIndex1) | (~v94(constB78))),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9504, 905, 9498])).
% 38.05/24.47 tff(9506,plain,
% 38.05/24.47 (v84(constB78, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9505, 9427])).
% 38.05/24.47 tff(9507,plain,
% 38.05/24.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9508,plain,
% 38.05/24.47 (((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1)) <=> ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9509,plain,
% 38.05/24.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1)))),
% 38.05/24.47 inference(monotonicity,[status(thm)],[9508])).
% 38.05/24.47 tff(9510,plain,
% 38.05/24.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 38.05/24.47 inference(transitivity,[status(thm)],[9509, 9507])).
% 38.05/24.47 tff(9511,plain,
% 38.05/24.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9512,plain,
% 38.05/24.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1)),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 38.05/24.47 tff(9513,plain,
% 38.05/24.47 ((~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9512, 923, 9446])).
% 38.05/24.47 tff(9514,plain,
% 38.05/24.47 ((~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9513, 9458])).
% 38.05/24.47 tff(9515,plain,
% 38.05/24.47 (v84(constB79, bitIndex1)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9514, 9506])).
% 38.05/24.47 tff(9516,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9517,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9518,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79)),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9517, 9516])).
% 38.05/24.47 tff(9519,plain,
% 38.05/24.47 (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9518, 1598, 9319])).
% 38.05/24.47 tff(9520,plain,
% 38.05/24.47 ($false),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9519, 9515, 9484, 9467])).
% 38.05/24.47 tff(9521,plain,(v121(constB77, bitIndex2) | v115(constB79) | v123(constB78, bitIndex0) | v26(constB77) | v172(constB77) | v124(constB77, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.05/24.47 tff(9522,plain,
% 38.05/24.47 (v124(constB77, bitIndex0)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9521, 9313, 9320, 9304, 9329, 9319])).
% 38.05/24.47 tff(9523,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9524,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9525,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0)),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 38.05/24.47 tff(9526,plain,
% 38.05/24.47 ((~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9525, 1289, 9304])).
% 38.05/24.47 tff(9527,plain,
% 38.05/24.47 ($false),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9526, 9522, 9318])).
% 38.05/24.47 tff(9528,plain,(v123(constB78, bitIndex0) | v121(constB77, bitIndex2) | v115(constB79)), inference(lemma,lemma(discharge,[]))).
% 38.05/24.47 tff(9529,plain,
% 38.05/24.47 (v115(constB79)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9528, 9312, 9296])).
% 38.05/24.47 tff(9530,plain,
% 38.05/24.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v172(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v172(constB77)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9531,plain,
% 38.05/24.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v172(constB77)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9532,plain,
% 38.05/24.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v172(constB77))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 38.05/24.47 tff(9533,plain,
% 38.05/24.47 (~v172(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9532, 5158, 9264])).
% 38.05/24.47 tff(9534,assumption,(~v107(constB79)), introduced(assumption)).
% 38.05/24.47 tff(9535,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB79) | (~v108(constB79)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB79) | (~v108(constB79)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9536,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB79) | (~v108(constB79)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9537,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB79) | (~v108(constB79))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9536, 9535])).
% 38.05/24.47 tff(9538,plain,
% 38.05/24.47 (~v108(constB79)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9537, 336, 9534])).
% 38.05/24.47 tff(9539,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB79) | (~v109(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB79) | (~v109(constB79)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9540,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB79) | (~v109(constB79)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9541,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB79) | (~v109(constB79))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 38.05/24.47 tff(9542,plain,
% 38.05/24.47 (~v109(constB79)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9541, 325, 9538])).
% 38.05/24.47 tff(9543,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB79) | (~v110(constB79)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB79) | (~v110(constB79)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9544,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB79) | (~v110(constB79)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9545,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB79) | (~v110(constB79))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 38.05/24.47 tff(9546,plain,
% 38.05/24.47 (~v110(constB79)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9545, 314, 9542])).
% 38.05/24.47 tff(9547,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB79) | (~v111(constB79)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB79) | (~v111(constB79)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9548,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB79) | (~v111(constB79)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9549,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB79) | (~v111(constB79))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9548, 9547])).
% 38.05/24.47 tff(9550,plain,
% 38.05/24.47 (~v111(constB79)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9549, 303, 9546])).
% 38.05/24.47 tff(9551,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB79) | (~v115(constB79)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9552,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB79) | (~v115(constB79)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9553,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB79) | (~v115(constB79))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 38.05/24.47 tff(9554,plain,
% 38.05/24.47 (~v115(constB79)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9553, 1609, 9550])).
% 38.05/24.47 tff(9555,plain,
% 38.05/24.47 (v121(constB77, bitIndex2)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9521, 9554, 9313, 9330, 9341, 9274])).
% 38.05/24.47 tff(9556,plain,
% 38.05/24.47 ((~v121(constB77, bitIndex2)) | v124(constB77, bitIndex2)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9310, 1147, 9330])).
% 38.05/24.47 tff(9557,plain,
% 38.05/24.47 (v124(constB77, bitIndex2)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9556, 9555])).
% 38.05/24.47 tff(9558,plain,
% 38.05/24.47 (~v145(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9299, 1451, 9557])).
% 38.05/24.47 tff(9559,assumption,(~v110(constB77)), introduced(assumption)).
% 38.05/24.47 tff(9560,plain,
% 38.05/24.47 (~v111(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9368, 303, 9559])).
% 38.05/24.47 tff(9561,plain,
% 38.05/24.47 (~v112(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9364, 292, 9560])).
% 38.05/24.47 tff(9562,assumption,(~v145(constB77)), introduced(assumption)).
% 38.05/24.47 tff(9563,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB77) | (~v116(constB77)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9564,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB77) | (~v116(constB77)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9565,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB77) | (~v116(constB77))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9564, 9563])).
% 38.05/24.47 tff(9566,plain,
% 38.05/24.47 (~v116(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9565, 1843, 9559])).
% 38.05/24.47 tff(9567,plain,
% 38.05/24.47 (v113(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9356, 9566, 9345, 9341, 9340, 9562])).
% 38.05/24.47 tff(9568,plain,
% 38.05/24.47 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB77) | (~v113(constB77)))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9569,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB77) | (~v113(constB77)))),
% 38.05/24.47 inference(quant_inst,[status(thm)],[])).
% 38.05/24.47 tff(9570,plain,
% 38.05/24.47 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB77) | (~v113(constB77))),
% 38.05/24.47 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 38.05/24.47 tff(9571,plain,
% 38.05/24.47 ($false),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9570, 281, 9567, 9561])).
% 38.05/24.47 tff(9572,plain,(v110(constB77) | v172(constB77) | v145(constB77) | v124(constB77, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.05/24.47 tff(9573,plain,
% 38.05/24.47 (v110(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9572, 9558, 9341, 9274])).
% 38.05/24.47 tff(9574,plain,
% 38.05/24.47 (v109(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9372, 314, 9573])).
% 38.05/24.47 tff(9575,plain,
% 38.05/24.47 (v108(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9376, 325, 9574])).
% 38.05/24.47 tff(9576,plain,
% 38.05/24.47 (v107(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9380, 336, 9575])).
% 38.05/24.47 tff(9577,plain,
% 38.05/24.47 (v106(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9388, 9576])).
% 38.05/24.47 tff(9578,plain,
% 38.05/24.47 (v102(constB77)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9392, 362, 9577])).
% 38.05/24.47 tff(9579,plain,
% 38.05/24.47 (v104(constB78)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9400, 9578])).
% 38.05/24.47 tff(9580,plain,
% 38.05/24.47 (v94(constB78)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9426, 9579])).
% 38.05/24.47 tff(9581,plain,
% 38.05/24.47 (~v84(constB78, bitIndex0)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9474, 9580])).
% 38.05/24.47 tff(9582,plain,
% 38.05/24.47 (~v84(constB79, bitIndex0)),
% 38.05/24.47 inference(unit_resolution,[status(thm)],[9483, 9581])).
% 38.05/24.47 tff(9583,plain,
% 38.05/24.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2))),
% 38.05/24.47 inference(rewrite,[status(thm)],[])).
% 38.05/24.47 tff(9584,plain,
% 38.05/24.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9585,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2)),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 38.05/24.48 tff(9586,plain,
% 38.05/24.48 ((~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9585, 492, 9291])).
% 38.05/24.48 tff(9587,plain,
% 38.05/24.48 (v123(constB78, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9586, 9555])).
% 38.05/24.48 tff(9588,plain,
% 38.05/24.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9589,plain,
% 38.05/24.48 ((v84(constB78, bitIndex2) | (~v94(constB78)) | (~v123(constB78, bitIndex2))) <=> (v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9590,plain,
% 38.05/24.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v94(constB78)) | (~v123(constB78, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78))))),
% 38.05/24.48 inference(monotonicity,[status(thm)],[9589])).
% 38.05/24.48 tff(9591,plain,
% 38.05/24.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v94(constB78)) | (~v123(constB78, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78)))),
% 38.05/24.48 inference(transitivity,[status(thm)],[9590, 9588])).
% 38.05/24.48 tff(9592,plain,
% 38.05/24.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v94(constB78)) | (~v123(constB78, bitIndex2)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9593,plain,
% 38.05/24.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 38.05/24.48 tff(9594,plain,
% 38.05/24.48 (v84(constB78, bitIndex2) | (~v94(constB78))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9593, 507, 9587])).
% 38.05/24.48 tff(9595,plain,
% 38.05/24.48 (v84(constB78, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9594, 9580])).
% 38.05/24.48 tff(9596,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9597,plain,
% 38.05/24.48 (((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2)) <=> ((~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9598,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2)))),
% 38.05/24.48 inference(monotonicity,[status(thm)],[9597])).
% 38.05/24.48 tff(9599,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2))),
% 38.05/24.48 inference(transitivity,[status(thm)],[9598, 9596])).
% 38.05/24.48 tff(9600,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9601,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2)),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 38.05/24.48 tff(9602,plain,
% 38.05/24.48 ((~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9601, 543, 9446])).
% 38.05/24.48 tff(9603,plain,
% 38.05/24.48 ((~v84(constB78, bitIndex2)) | v84(constB79, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9602, 9458])).
% 38.05/24.48 tff(9604,plain,
% 38.05/24.48 (v84(constB79, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9603, 9595])).
% 38.05/24.48 tff(9605,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB79) | (~v172(constB79)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB79) | (~v172(constB79)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9606,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB79) | (~v172(constB79)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9607,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB79) | (~v172(constB79))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9606, 9605])).
% 38.05/24.48 tff(9608,plain,
% 38.05/24.48 (~v172(constB79)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9607, 764, 9542])).
% 38.05/24.48 tff(9609,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9610,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9611,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79)),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9610, 9609])).
% 38.05/24.48 tff(9612,plain,
% 38.05/24.48 (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9611, 710, 9608])).
% 38.05/24.48 tff(9613,plain,
% 38.05/24.48 (v84(constB79, bitIndex1)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9612, 9582, 9604])).
% 38.05/24.48 tff(9614,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB79) | (~v119(constB79)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB79) | (~v119(constB79)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9615,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB79) | (~v119(constB79)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9616,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB79) | (~v119(constB79))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9615, 9614])).
% 38.05/24.48 tff(9617,plain,
% 38.05/24.48 (~v119(constB79)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9616, 997, 9534])).
% 38.05/24.48 tff(9618,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)) | v119(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)) | v119(constB79))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9619,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)) | v119(constB79))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9620,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)) | v119(constB79)),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 38.05/24.48 tff(9621,plain,
% 38.05/24.48 (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9620, 986, 9617])).
% 38.05/24.48 tff(9622,plain,
% 38.05/24.48 ($false),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9621, 9613, 9604, 9582])).
% 38.05/24.48 tff(9623,plain,(v107(constB79) | v123(constB78, bitIndex0) | v26(constB77) | v172(constB77) | v124(constB77, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.05/24.48 tff(9624,plain,
% 38.05/24.48 (v107(constB79) | v123(constB78, bitIndex0) | v172(constB77) | v124(constB77, bitIndex0)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9623, 9304])).
% 38.05/24.48 tff(9625,plain,
% 38.05/24.48 (v107(constB79)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9624, 9296, 9533, 9272])).
% 38.05/24.48 tff(9626,assumption,(v26(constB79)), introduced(assumption)).
% 38.05/24.48 tff(9627,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9628,plain,
% 38.05/24.48 ($false),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9627, 120, 9626])).
% 38.05/24.48 tff(9629,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 38.05/24.48 tff(9630,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | v106(constB79) | (~v107(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9631,plain,
% 38.05/24.48 ((v26(constB79) | (~v107(constB79)) | v106(constB79)) <=> (v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9632,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | v106(constB79) | (~v107(constB79))))),
% 38.05/24.48 inference(monotonicity,[status(thm)],[9631])).
% 38.05/24.48 tff(9633,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 38.05/24.48 inference(transitivity,[status(thm)],[9632, 9630])).
% 38.05/24.48 tff(9634,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9635,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9634, 9633])).
% 38.05/24.48 tff(9636,plain,
% 38.05/24.48 (v106(constB79) | (~v107(constB79))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9635, 350, 9629])).
% 38.05/24.48 tff(9637,plain,
% 38.05/24.48 (v106(constB79)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9636, 9625])).
% 38.05/24.48 tff(9638,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB79) | (~v106(constB79)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB79) | (~v106(constB79)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9639,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB79) | (~v106(constB79)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9640,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB79) | (~v106(constB79))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 38.05/24.48 tff(9641,plain,
% 38.05/24.48 (v102(constB79)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9640, 362, 9637])).
% 38.05/24.48 tff(9642,plain,
% 38.05/24.48 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9643,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 38.05/24.48 tff(9644,plain,
% 38.05/24.48 (nextState(constB79, constB80)),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9643, 9642])).
% 38.05/24.48 tff(9645,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9646,plain,
% 38.05/24.48 (((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9647,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))))),
% 38.05/24.48 inference(monotonicity,[status(thm)],[9646])).
% 38.05/24.48 tff(9648,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 38.05/24.48 inference(transitivity,[status(thm)],[9647, 9645])).
% 38.05/24.48 tff(9649,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9650,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 38.05/24.48 tff(9651,plain,
% 38.05/24.48 (v104(constB80) | (~v102(constB79))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9650, 379, 9644])).
% 38.05/24.48 tff(9652,plain,
% 38.05/24.48 (v104(constB80)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9651, 9641])).
% 38.05/24.48 tff(9653,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9654,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9655,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9654, 9653])).
% 38.05/24.48 tff(9656,plain,
% 38.05/24.48 (~v98(constB80)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9655, 397, 9644, 9443])).
% 38.05/24.48 tff(9657,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9658,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9659,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80)),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9658, 9657])).
% 38.05/24.48 tff(9660,plain,
% 38.05/24.48 (v96(constB80) | v98(constB80)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9659, 411, 9644])).
% 38.05/24.48 tff(9661,plain,
% 38.05/24.48 (v96(constB80)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9660, 9656])).
% 38.05/24.48 tff(9662,plain,
% 38.05/24.48 (v1(constB80) <=> v1(constB80)),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9663,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 38.05/24.48 tff(9664,plain,
% 38.05/24.48 (v1(constB80)),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9663, 9662])).
% 38.05/24.48 tff(9665,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9666,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9667,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9666, 9665])).
% 38.05/24.48 tff(9668,plain,
% 38.05/24.48 (v95(constB80) | (~v96(constB80))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9667, 429, 9644, 9664])).
% 38.05/24.48 tff(9669,plain,
% 38.05/24.48 (v95(constB80)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9668, 9661])).
% 38.05/24.48 tff(9670,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9671,plain,
% 38.05/24.48 (((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80)) <=> ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9672,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80))))),
% 38.05/24.48 inference(monotonicity,[status(thm)],[9671])).
% 38.05/24.48 tff(9673,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 38.05/24.48 inference(transitivity,[status(thm)],[9672, 9670])).
% 38.05/24.48 tff(9674,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9675,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9674, 9673])).
% 38.05/24.48 tff(9676,plain,
% 38.05/24.48 (v94(constB80) | (~v95(constB80)) | (~v104(constB80))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9675, 444, 9644])).
% 38.05/24.48 tff(9677,plain,
% 38.05/24.48 (v94(constB80) | (~v104(constB80))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9676, 9669])).
% 38.05/24.48 tff(9678,plain,
% 38.05/24.48 (v94(constB80)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9677, 9652])).
% 38.05/24.48 tff(9679,assumption,(v115(constB79)), introduced(assumption)).
% 38.05/24.48 tff(9680,plain,
% 38.05/24.48 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB79)) | (~v124(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB79)) | (~v124(constB79, bitIndex2)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9681,plain,
% 38.05/24.48 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB79)) | (~v124(constB79, bitIndex2)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9682,plain,
% 38.05/24.48 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB79)) | (~v124(constB79, bitIndex2))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9681, 9680])).
% 38.05/24.48 tff(9683,plain,
% 38.05/24.48 (~v124(constB79, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9682, 1688, 9679])).
% 38.05/24.48 tff(9684,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9685,plain,
% 38.05/24.48 ((v26(constB79) | v124(constB79, bitIndex2) | (~v121(constB79, bitIndex2))) <=> ((~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9686,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB79) | v124(constB79, bitIndex2) | (~v121(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2)))),
% 38.05/24.48 inference(monotonicity,[status(thm)],[9685])).
% 38.05/24.48 tff(9687,plain,
% 38.05/24.48 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB79) | v124(constB79, bitIndex2) | (~v121(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2))),
% 38.05/24.48 inference(transitivity,[status(thm)],[9686, 9684])).
% 38.05/24.48 tff(9688,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB79) | v124(constB79, bitIndex2) | (~v121(constB79, bitIndex2)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9689,plain,
% 38.05/24.48 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB79, bitIndex2)) | v26(constB79) | v124(constB79, bitIndex2)),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 38.05/24.48 tff(9690,plain,
% 38.05/24.48 ((~v121(constB79, bitIndex2)) | v124(constB79, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9689, 1147, 9629])).
% 38.05/24.48 tff(9691,plain,
% 38.05/24.48 (~v121(constB79, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9690, 9683])).
% 38.05/24.48 tff(9692,plain,
% 38.05/24.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9693,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2)))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9694,plain,
% 38.05/24.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2))),
% 38.05/24.48 inference(modus_ponens,[status(thm)],[9693, 9692])).
% 38.05/24.48 tff(9695,plain,
% 38.05/24.48 (v121(constB79, bitIndex2) | (~v123(constB80, bitIndex2))),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9694, 1165, 9644])).
% 38.05/24.48 tff(9696,plain,
% 38.05/24.48 (~v123(constB80, bitIndex2)),
% 38.05/24.48 inference(unit_resolution,[status(thm)],[9695, 9691])).
% 38.05/24.48 tff(9697,assumption,(v94(constB80)), introduced(assumption)).
% 38.05/24.48 tff(9698,plain,
% 38.05/24.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9699,plain,
% 38.05/24.48 (((~v84(constB80, bitIndex2)) | (~v94(constB80)) | v123(constB80, bitIndex2)) <=> ((~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80)))),
% 38.05/24.48 inference(rewrite,[status(thm)],[])).
% 38.05/24.48 tff(9700,plain,
% 38.05/24.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | (~v94(constB80)) | v123(constB80, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80))))),
% 38.05/24.48 inference(monotonicity,[status(thm)],[9699])).
% 38.05/24.48 tff(9701,plain,
% 38.05/24.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | (~v94(constB80)) | v123(constB80, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80)))),
% 38.05/24.48 inference(transitivity,[status(thm)],[9700, 9698])).
% 38.05/24.48 tff(9702,plain,
% 38.05/24.48 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | (~v94(constB80)) | v123(constB80, bitIndex2))),
% 38.05/24.48 inference(quant_inst,[status(thm)],[])).
% 38.05/24.48 tff(9703,plain,
% 38.05/24.48 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2) | (~v94(constB80))),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9702, 9701])).
% 38.05/24.49 tff(9704,plain,
% 38.05/24.49 ((~v84(constB80, bitIndex2)) | v123(constB80, bitIndex2)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9703, 1180, 9697])).
% 38.05/24.49 tff(9705,plain,
% 38.05/24.49 (~v84(constB80, bitIndex2)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9704, 9696])).
% 38.05/24.49 tff(9706,plain,
% 38.05/24.49 ((~v1(constB81)) <=> (~v1(constB81))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9707,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 38.05/24.49 tff(9708,plain,
% 38.05/24.49 (~v1(constB81)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 38.05/24.49 tff(9709,plain,
% 38.05/24.49 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9710,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 38.05/24.49 tff(9711,plain,
% 38.05/24.49 (nextState(constB80, constB81)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9710, 9709])).
% 38.05/24.49 tff(9712,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9713,plain,
% 38.05/24.49 (((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9714,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))))),
% 38.05/24.49 inference(monotonicity,[status(thm)],[9713])).
% 38.05/24.49 tff(9715,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 38.05/24.49 inference(transitivity,[status(thm)],[9714, 9712])).
% 38.05/24.49 tff(9716,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9717,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9716, 9715])).
% 38.05/24.49 tff(9718,plain,
% 38.05/24.49 (~v95(constB81)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9717, 175, 9711, 9708])).
% 38.05/24.49 tff(9719,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9720,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9721,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81))),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9720, 9719])).
% 38.05/24.49 tff(9722,plain,
% 38.05/24.49 (v95(constB81) | (~v94(constB81))),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9721, 192, 9711])).
% 38.05/24.49 tff(9723,plain,
% 38.05/24.49 (~v94(constB81)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9722, 9718])).
% 38.05/24.49 tff(9724,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9725,plain,
% 38.05/24.49 (((~nextState(constB80, constB81)) | v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2))) <=> (v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9726,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2))))),
% 38.05/24.49 inference(monotonicity,[status(thm)],[9725])).
% 38.05/24.49 tff(9727,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2)))),
% 38.05/24.49 inference(transitivity,[status(thm)],[9726, 9724])).
% 38.05/24.49 tff(9728,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2)))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9729,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex2))),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9728, 9727])).
% 38.05/24.49 tff(9730,plain,
% 38.05/24.49 (v84(constB80, bitIndex2) | v94(constB81) | (~v84(constB81, bitIndex2))),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9729, 207, 9711])).
% 38.05/24.49 tff(9731,plain,
% 38.05/24.49 (v84(constB80, bitIndex2) | (~v84(constB81, bitIndex2))),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9730, 9723])).
% 38.05/24.49 tff(9732,plain,
% 38.05/24.49 (~v84(constB81, bitIndex2)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9731, 9705])).
% 38.05/24.49 tff(9733,plain,
% 38.05/24.49 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB79)) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB79)) | v124(constB79, bitIndex0))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9734,plain,
% 38.05/24.49 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB79)) | v124(constB79, bitIndex0))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9735,plain,
% 38.05/24.49 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB79)) | v124(constB79, bitIndex0)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9734, 9733])).
% 38.05/24.49 tff(9736,plain,
% 38.05/24.49 (v124(constB79, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9735, 1791, 9679])).
% 38.05/24.49 tff(9737,plain,
% 38.05/24.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9738,plain,
% 38.05/24.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9739,plain,
% 38.05/24.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9738, 9737])).
% 38.05/24.49 tff(9740,plain,
% 38.05/24.49 ((~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9739, 1289, 9629])).
% 38.05/24.49 tff(9741,plain,
% 38.05/24.49 (v121(constB79, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9740, 9736])).
% 38.05/24.49 tff(9742,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9743,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9744,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 38.05/24.49 tff(9745,plain,
% 38.05/24.49 ((~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9744, 1304, 9644])).
% 38.05/24.49 tff(9746,plain,
% 38.05/24.49 (v123(constB80, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9745, 9741])).
% 38.05/24.49 tff(9747,plain,
% 38.05/24.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9748,plain,
% 38.05/24.49 ((v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0))) <=> (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9749,plain,
% 38.05/24.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80))))),
% 38.05/24.49 inference(monotonicity,[status(thm)],[9748])).
% 38.05/24.49 tff(9750,plain,
% 38.05/24.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 38.05/24.49 inference(transitivity,[status(thm)],[9749, 9747])).
% 38.05/24.49 tff(9751,plain,
% 38.05/24.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9752,plain,
% 38.05/24.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80))),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 38.05/24.49 tff(9753,plain,
% 38.05/24.49 (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0))),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9752, 1319, 9697])).
% 38.05/24.49 tff(9754,plain,
% 38.05/24.49 (v84(constB80, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9753, 9746])).
% 38.05/24.49 tff(9755,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9756,plain,
% 38.05/24.49 (((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0)) <=> ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9757,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0)))),
% 38.05/24.49 inference(monotonicity,[status(thm)],[9756])).
% 38.05/24.49 tff(9758,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 38.05/24.49 inference(transitivity,[status(thm)],[9757, 9755])).
% 38.05/24.49 tff(9759,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9760,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9759, 9758])).
% 38.05/24.49 tff(9761,plain,
% 38.05/24.49 ((~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9760, 1337, 9711])).
% 38.05/24.49 tff(9762,plain,
% 38.05/24.49 ((~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9761, 9723])).
% 38.05/24.49 tff(9763,plain,
% 38.05/24.49 (v84(constB81, bitIndex0)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9762, 9754])).
% 38.05/24.49 tff(9764,plain,
% 38.05/24.49 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB79)) | v124(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB79)) | v124(constB79, bitIndex1))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9765,plain,
% 38.05/24.49 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB79)) | v124(constB79, bitIndex1))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9766,plain,
% 38.05/24.49 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB79)) | v124(constB79, bitIndex1)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9765, 9764])).
% 38.05/24.49 tff(9767,plain,
% 38.05/24.49 (v124(constB79, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9766, 1750, 9679])).
% 38.05/24.49 tff(9768,plain,
% 38.05/24.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9769,plain,
% 38.05/24.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9770,plain,
% 38.05/24.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9769, 9768])).
% 38.05/24.49 tff(9771,plain,
% 38.05/24.49 ((~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9770, 875, 9629])).
% 38.05/24.49 tff(9772,plain,
% 38.05/24.49 (v121(constB79, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9771, 9767])).
% 38.05/24.49 tff(9773,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9774,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9775,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9774, 9773])).
% 38.05/24.49 tff(9776,plain,
% 38.05/24.49 ((~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9775, 890, 9644])).
% 38.05/24.49 tff(9777,plain,
% 38.05/24.49 (v123(constB80, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9776, 9772])).
% 38.05/24.49 tff(9778,plain,
% 38.05/24.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9779,plain,
% 38.05/24.49 ((v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1))) <=> (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9780,plain,
% 38.05/24.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80))))),
% 38.05/24.49 inference(monotonicity,[status(thm)],[9779])).
% 38.05/24.49 tff(9781,plain,
% 38.05/24.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 38.05/24.49 inference(transitivity,[status(thm)],[9780, 9778])).
% 38.05/24.49 tff(9782,plain,
% 38.05/24.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9783,plain,
% 38.05/24.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80))),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9782, 9781])).
% 38.05/24.49 tff(9784,plain,
% 38.05/24.49 (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1))),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9783, 905, 9697])).
% 38.05/24.49 tff(9785,plain,
% 38.05/24.49 (v84(constB80, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9784, 9777])).
% 38.05/24.49 tff(9786,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9787,plain,
% 38.05/24.49 (((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1)) <=> ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 38.05/24.49 inference(rewrite,[status(thm)],[])).
% 38.05/24.49 tff(9788,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1)))),
% 38.05/24.49 inference(monotonicity,[status(thm)],[9787])).
% 38.05/24.49 tff(9789,plain,
% 38.05/24.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 38.05/24.49 inference(transitivity,[status(thm)],[9788, 9786])).
% 38.05/24.49 tff(9790,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))),
% 38.05/24.49 inference(quant_inst,[status(thm)],[])).
% 38.05/24.49 tff(9791,plain,
% 38.05/24.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1)),
% 38.05/24.49 inference(modus_ponens,[status(thm)],[9790, 9789])).
% 38.05/24.49 tff(9792,plain,
% 38.05/24.49 ((~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9791, 923, 9711])).
% 38.05/24.49 tff(9793,plain,
% 38.05/24.49 ((~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9792, 9723])).
% 38.05/24.49 tff(9794,plain,
% 38.05/24.49 (v84(constB81, bitIndex1)),
% 38.05/24.49 inference(unit_resolution,[status(thm)],[9793, 9785])).
% 38.05/24.49 tff(9795,assumption,(~v116(constB81)), introduced(assumption)).
% 38.05/24.49 tff(9796,plain,
% 38.05/24.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9797,plain,
% 38.05/24.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9798,plain,
% 38.05/24.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9797, 9796])).
% 38.05/24.50 tff(9799,plain,
% 38.05/24.50 ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9798, 1832, 9795])).
% 38.05/24.50 tff(9800,plain,
% 38.05/24.50 ($false),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9799, 9794, 9763, 9732])).
% 38.05/24.50 tff(9801,plain,((~v115(constB79)) | v116(constB81) | (~v94(constB80))), inference(lemma,lemma(discharge,[]))).
% 38.05/24.50 tff(9802,plain,
% 38.05/24.50 (v116(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9801, 9678, 9529])).
% 38.05/24.50 tff(9803,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB81) | (~v116(constB81)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB81) | (~v116(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9804,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB81) | (~v116(constB81)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9805,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB81) | (~v116(constB81))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9804, 9803])).
% 38.05/24.50 tff(9806,plain,
% 38.05/24.50 (v110(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9805, 1843, 9802])).
% 38.05/24.50 tff(9807,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB81) | (~v110(constB81)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB81) | (~v110(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9808,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB81) | (~v110(constB81)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9809,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB81) | (~v110(constB81))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9808, 9807])).
% 38.05/24.50 tff(9810,plain,
% 38.05/24.50 (v109(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9809, 314, 9806])).
% 38.05/24.50 tff(9811,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB81) | (~v109(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB81) | (~v109(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9812,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB81) | (~v109(constB81)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9813,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB81) | (~v109(constB81))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9812, 9811])).
% 38.05/24.50 tff(9814,plain,
% 38.05/24.50 (v108(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9813, 325, 9810])).
% 38.05/24.50 tff(9815,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB81) | (~v108(constB81)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB81) | (~v108(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9816,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB81) | (~v108(constB81)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9817,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB81) | (~v108(constB81))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9816, 9815])).
% 38.05/24.50 tff(9818,plain,
% 38.05/24.50 (v107(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9817, 336, 9814])).
% 38.05/24.50 tff(9819,assumption,(~v102(constB81)), introduced(assumption)).
% 38.05/24.50 tff(9820,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB81) | (~v106(constB81)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB81) | (~v106(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9821,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB81) | (~v106(constB81)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9822,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB81) | (~v106(constB81))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9821, 9820])).
% 38.05/24.50 tff(9823,plain,
% 38.05/24.50 (~v106(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9822, 362, 9819])).
% 38.05/24.50 tff(9824,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB81) | (~v26(constB81)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB81) | (~v26(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9825,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB81) | (~v26(constB81)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9826,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB81) | (~v26(constB81))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9825, 9824])).
% 38.05/24.50 tff(9827,plain,
% 38.05/24.50 (~v26(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9826, 753, 9819])).
% 38.05/24.50 tff(9828,assumption,(v107(constB81)), introduced(assumption)).
% 38.05/24.50 tff(9829,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9830,plain,
% 38.05/24.50 ((v26(constB81) | (~v107(constB81)) | v106(constB81)) <=> (v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9831,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81))))),
% 38.05/24.50 inference(monotonicity,[status(thm)],[9830])).
% 38.05/24.50 tff(9832,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 38.05/24.50 inference(transitivity,[status(thm)],[9831, 9829])).
% 38.05/24.50 tff(9833,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9834,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9833, 9832])).
% 38.05/24.50 tff(9835,plain,
% 38.05/24.50 (v26(constB81) | v106(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9834, 350, 9828])).
% 38.05/24.50 tff(9836,plain,
% 38.05/24.50 ($false),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9835, 9827, 9823])).
% 38.05/24.50 tff(9837,plain,(v102(constB81) | (~v107(constB81))), inference(lemma,lemma(discharge,[]))).
% 38.05/24.50 tff(9838,plain,
% 38.05/24.50 (v102(constB81)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9837, 9818])).
% 38.05/24.50 tff(9839,plain,
% 38.05/24.50 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9840,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 38.05/24.50 tff(9841,plain,
% 38.05/24.50 (nextState(constB81, constB82)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9840, 9839])).
% 38.05/24.50 tff(9842,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9843,plain,
% 38.05/24.50 (((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9844,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))))),
% 38.05/24.50 inference(monotonicity,[status(thm)],[9843])).
% 38.05/24.50 tff(9845,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 38.05/24.50 inference(transitivity,[status(thm)],[9844, 9842])).
% 38.05/24.50 tff(9846,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9847,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9846, 9845])).
% 38.05/24.50 tff(9848,plain,
% 38.05/24.50 (v104(constB82) | (~v102(constB81))),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9847, 379, 9841])).
% 38.05/24.50 tff(9849,plain,
% 38.05/24.50 (v104(constB82)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9848, 9838])).
% 38.05/24.50 tff(9850,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9851,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9852,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9851, 9850])).
% 38.05/24.50 tff(9853,plain,
% 38.05/24.50 (~v98(constB82)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9852, 397, 9841, 9708])).
% 38.05/24.50 tff(9854,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9855,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9856,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9855, 9854])).
% 38.05/24.50 tff(9857,plain,
% 38.05/24.50 (v96(constB82) | v98(constB82)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9856, 411, 9841])).
% 38.05/24.50 tff(9858,plain,
% 38.05/24.50 (v96(constB82)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9857, 9853])).
% 38.05/24.50 tff(9859,plain,
% 38.05/24.50 (v1(constB82) <=> v1(constB82)),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9860,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 38.05/24.50 tff(9861,plain,
% 38.05/24.50 (v1(constB82)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9860, 9859])).
% 38.05/24.50 tff(9862,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9863,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9864,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9863, 9862])).
% 38.05/24.50 tff(9865,plain,
% 38.05/24.50 (v95(constB82) | (~v96(constB82))),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9864, 429, 9841, 9861])).
% 38.05/24.50 tff(9866,plain,
% 38.05/24.50 (v95(constB82)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9865, 9858])).
% 38.05/24.50 tff(9867,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9868,plain,
% 38.05/24.50 (((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82)) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9869,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82))))),
% 38.05/24.50 inference(monotonicity,[status(thm)],[9868])).
% 38.05/24.50 tff(9870,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 38.05/24.50 inference(transitivity,[status(thm)],[9869, 9867])).
% 38.05/24.50 tff(9871,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9872,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9871, 9870])).
% 38.05/24.50 tff(9873,plain,
% 38.05/24.50 (v94(constB82) | (~v95(constB82)) | (~v104(constB82))),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9872, 444, 9841])).
% 38.05/24.50 tff(9874,plain,
% 38.05/24.50 (v94(constB82) | (~v104(constB82))),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9873, 9866])).
% 38.05/24.50 tff(9875,plain,
% 38.05/24.50 (v94(constB82)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9874, 9849])).
% 38.05/24.50 tff(9876,plain,
% 38.05/24.50 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB81)) | v124(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB81)) | v124(constB81, bitIndex2))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9877,plain,
% 38.05/24.50 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB81)) | v124(constB81, bitIndex2))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9878,plain,
% 38.05/24.50 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB81)) | v124(constB81, bitIndex2)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9877, 9876])).
% 38.05/24.50 tff(9879,plain,
% 38.05/24.50 (v124(constB81, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9878, 1918, 9802])).
% 38.05/24.50 tff(9880,assumption,(v26(constB81)), introduced(assumption)).
% 38.05/24.50 tff(9881,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9882,plain,
% 38.05/24.50 ($false),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9881, 120, 9880])).
% 38.05/24.50 tff(9883,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 38.05/24.50 tff(9884,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9885,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9886,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9885, 9884])).
% 38.05/24.50 tff(9887,plain,
% 38.05/24.50 ((~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9886, 477, 9883])).
% 38.05/24.50 tff(9888,plain,
% 38.05/24.50 (v121(constB81, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9887, 9879])).
% 38.05/24.50 tff(9889,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9890,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9891,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 38.05/24.50 tff(9892,plain,
% 38.05/24.50 ((~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9891, 492, 9841])).
% 38.05/24.50 tff(9893,plain,
% 38.05/24.50 (v123(constB82, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9892, 9888])).
% 38.05/24.50 tff(9894,plain,
% 38.05/24.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9895,plain,
% 38.05/24.50 ((v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2))) <=> (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9896,plain,
% 38.05/24.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82))))),
% 38.05/24.50 inference(monotonicity,[status(thm)],[9895])).
% 38.05/24.50 tff(9897,plain,
% 38.05/24.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 38.05/24.50 inference(transitivity,[status(thm)],[9896, 9894])).
% 38.05/24.50 tff(9898,plain,
% 38.05/24.50 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9899,plain,
% 38.05/24.50 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 38.05/24.50 tff(9900,plain,
% 38.05/24.50 (v84(constB82, bitIndex2) | (~v94(constB82))),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9899, 507, 9893])).
% 38.05/24.50 tff(9901,plain,
% 38.05/24.50 (v84(constB82, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9900, 9875])).
% 38.05/24.50 tff(9902,plain,
% 38.05/24.50 ((~v1(constB83)) <=> (~v1(constB83))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9903,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 38.05/24.50 tff(9904,plain,
% 38.05/24.50 (~v1(constB83)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9903, 9902])).
% 38.05/24.50 tff(9905,plain,
% 38.05/24.50 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9906,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 38.05/24.50 tff(9907,plain,
% 38.05/24.50 (nextState(constB82, constB83)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9906, 9905])).
% 38.05/24.50 tff(9908,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9909,plain,
% 38.05/24.50 (((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9910,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))))),
% 38.05/24.50 inference(monotonicity,[status(thm)],[9909])).
% 38.05/24.50 tff(9911,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 38.05/24.50 inference(transitivity,[status(thm)],[9910, 9908])).
% 38.05/24.50 tff(9912,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9913,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9912, 9911])).
% 38.05/24.50 tff(9914,plain,
% 38.05/24.50 (~v95(constB83)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9913, 175, 9907, 9904])).
% 38.05/24.50 tff(9915,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9916,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9917,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9916, 9915])).
% 38.05/24.50 tff(9918,plain,
% 38.05/24.50 (v95(constB83) | (~v94(constB83))),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9917, 192, 9907])).
% 38.05/24.50 tff(9919,plain,
% 38.05/24.50 (~v94(constB83)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9918, 9914])).
% 38.05/24.50 tff(9920,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9921,plain,
% 38.05/24.50 (((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2)) <=> ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9922,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2)))),
% 38.05/24.50 inference(monotonicity,[status(thm)],[9921])).
% 38.05/24.50 tff(9923,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 38.05/24.50 inference(transitivity,[status(thm)],[9922, 9920])).
% 38.05/24.50 tff(9924,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9925,plain,
% 38.05/24.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9924, 9923])).
% 38.05/24.50 tff(9926,plain,
% 38.05/24.50 ((~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9925, 543, 9907])).
% 38.05/24.50 tff(9927,plain,
% 38.05/24.50 ((~v84(constB82, bitIndex2)) | v84(constB83, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9926, 9919])).
% 38.05/24.50 tff(9928,plain,
% 38.05/24.50 (v84(constB83, bitIndex2)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9927, 9901])).
% 38.05/24.50 tff(9929,plain,
% 38.05/24.50 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB81)) | (~v124(constB81, bitIndex1)))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9930,plain,
% 38.05/24.50 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex1)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9931,plain,
% 38.05/24.50 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB81)) | (~v124(constB81, bitIndex1))),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9930, 9929])).
% 38.05/24.50 tff(9932,plain,
% 38.05/24.50 (~v124(constB81, bitIndex1)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9931, 1977, 9802])).
% 38.05/24.50 tff(9933,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9934,plain,
% 38.05/24.50 ((v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1))) <=> ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 38.05/24.50 inference(rewrite,[status(thm)],[])).
% 38.05/24.50 tff(9935,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1)))),
% 38.05/24.50 inference(monotonicity,[status(thm)],[9934])).
% 38.05/24.50 tff(9936,plain,
% 38.05/24.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 38.05/24.50 inference(transitivity,[status(thm)],[9935, 9933])).
% 38.05/24.50 tff(9937,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))),
% 38.05/24.50 inference(quant_inst,[status(thm)],[])).
% 38.05/24.50 tff(9938,plain,
% 38.05/24.50 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1)),
% 38.05/24.50 inference(modus_ponens,[status(thm)],[9937, 9936])).
% 38.05/24.50 tff(9939,plain,
% 38.05/24.50 ((~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9938, 576, 9883])).
% 38.05/24.50 tff(9940,plain,
% 38.05/24.50 (~v121(constB81, bitIndex1)),
% 38.05/24.50 inference(unit_resolution,[status(thm)],[9939, 9932])).
% 38.05/24.50 tff(9941,plain,
% 38.05/24.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9942,plain,
% 38.05/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))),
% 38.05/24.51 inference(quant_inst,[status(thm)],[])).
% 38.05/24.51 tff(9943,plain,
% 38.05/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1))),
% 38.05/24.51 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 38.05/24.51 tff(9944,plain,
% 38.05/24.51 (v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1))),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9943, 594, 9841])).
% 38.05/24.51 tff(9945,plain,
% 38.05/24.51 (~v123(constB82, bitIndex1)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9944, 9940])).
% 38.05/24.51 tff(9946,plain,
% 38.05/24.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9947,plain,
% 38.05/24.51 (((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1)) <=> ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9948,plain,
% 38.05/24.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82))))),
% 38.05/24.51 inference(monotonicity,[status(thm)],[9947])).
% 38.05/24.51 tff(9949,plain,
% 38.05/24.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 38.05/24.51 inference(transitivity,[status(thm)],[9948, 9946])).
% 38.05/24.51 tff(9950,plain,
% 38.05/24.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))),
% 38.05/24.51 inference(quant_inst,[status(thm)],[])).
% 38.05/24.51 tff(9951,plain,
% 38.05/24.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82))),
% 38.05/24.51 inference(modus_ponens,[status(thm)],[9950, 9949])).
% 38.05/24.51 tff(9952,plain,
% 38.05/24.51 ((~v84(constB82, bitIndex1)) | (~v94(constB82))),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9951, 609, 9945])).
% 38.05/24.51 tff(9953,plain,
% 38.05/24.51 (~v84(constB82, bitIndex1)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9952, 9875])).
% 38.05/24.51 tff(9954,plain,
% 38.05/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9955,plain,
% 38.05/24.51 (((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1))) <=> (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9956,plain,
% 38.05/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1))))),
% 38.05/24.51 inference(monotonicity,[status(thm)],[9955])).
% 38.05/24.51 tff(9957,plain,
% 38.05/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 38.05/24.51 inference(transitivity,[status(thm)],[9956, 9954])).
% 38.05/24.51 tff(9958,plain,
% 38.05/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 38.05/24.51 inference(quant_inst,[status(thm)],[])).
% 38.05/24.51 tff(9959,plain,
% 38.05/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1))),
% 38.05/24.51 inference(modus_ponens,[status(thm)],[9958, 9957])).
% 38.05/24.51 tff(9960,plain,
% 38.05/24.51 (v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1))),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9959, 228, 9907])).
% 38.05/24.51 tff(9961,plain,
% 38.05/24.51 (v84(constB82, bitIndex1) | (~v84(constB83, bitIndex1))),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9960, 9919])).
% 38.05/24.51 tff(9962,plain,
% 38.05/24.51 (~v84(constB83, bitIndex1)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9961, 9953])).
% 38.05/24.51 tff(9963,plain,
% 38.05/24.51 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB81)) | (~v124(constB81, bitIndex0)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9964,plain,
% 38.05/24.51 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex0)))),
% 38.05/24.51 inference(quant_inst,[status(thm)],[])).
% 38.05/24.51 tff(9965,plain,
% 38.05/24.51 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB81)) | (~v124(constB81, bitIndex0))),
% 38.05/24.51 inference(modus_ponens,[status(thm)],[9964, 9963])).
% 38.05/24.51 tff(9966,plain,
% 38.05/24.51 (~v124(constB81, bitIndex0)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9965, 2021, 9802])).
% 38.05/24.51 tff(9967,plain,
% 38.05/24.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9968,plain,
% 38.05/24.51 ((v26(constB81) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0))) <=> ((~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9969,plain,
% 38.05/24.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB81) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0)))),
% 38.05/24.51 inference(monotonicity,[status(thm)],[9968])).
% 38.05/24.51 tff(9970,plain,
% 38.05/24.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB81) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0))),
% 38.05/24.51 inference(transitivity,[status(thm)],[9969, 9967])).
% 38.05/24.51 tff(9971,plain,
% 38.05/24.51 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB81) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))),
% 38.05/24.51 inference(quant_inst,[status(thm)],[])).
% 38.05/24.51 tff(9972,plain,
% 38.05/24.51 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB81, bitIndex0)) | v26(constB81) | v124(constB81, bitIndex0)),
% 38.05/24.51 inference(modus_ponens,[status(thm)],[9971, 9970])).
% 38.05/24.51 tff(9973,plain,
% 38.05/24.51 ((~v121(constB81, bitIndex0)) | v124(constB81, bitIndex0)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9972, 650, 9883])).
% 38.05/24.51 tff(9974,plain,
% 38.05/24.51 (~v121(constB81, bitIndex0)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9973, 9966])).
% 38.05/24.51 tff(9975,plain,
% 38.05/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9976,plain,
% 38.05/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0)))),
% 38.05/24.51 inference(quant_inst,[status(thm)],[])).
% 38.05/24.51 tff(9977,plain,
% 38.05/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0))),
% 38.05/24.51 inference(modus_ponens,[status(thm)],[9976, 9975])).
% 38.05/24.51 tff(9978,plain,
% 38.05/24.51 (v121(constB81, bitIndex0) | (~v123(constB82, bitIndex0))),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9977, 668, 9841])).
% 38.05/24.51 tff(9979,plain,
% 38.05/24.51 (~v123(constB82, bitIndex0)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9978, 9974])).
% 38.05/24.51 tff(9980,plain,
% 38.05/24.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9981,plain,
% 38.05/24.51 (((~v84(constB82, bitIndex0)) | (~v94(constB82)) | v123(constB82, bitIndex0)) <=> ((~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9982,plain,
% 38.05/24.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~v94(constB82)) | v123(constB82, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82))))),
% 38.05/24.51 inference(monotonicity,[status(thm)],[9981])).
% 38.05/24.51 tff(9983,plain,
% 38.05/24.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~v94(constB82)) | v123(constB82, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82)))),
% 38.05/24.51 inference(transitivity,[status(thm)],[9982, 9980])).
% 38.05/24.51 tff(9984,plain,
% 38.05/24.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~v94(constB82)) | v123(constB82, bitIndex0))),
% 38.05/24.51 inference(quant_inst,[status(thm)],[])).
% 38.05/24.51 tff(9985,plain,
% 38.05/24.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0) | (~v94(constB82))),
% 38.05/24.51 inference(modus_ponens,[status(thm)],[9984, 9983])).
% 38.05/24.51 tff(9986,plain,
% 38.05/24.51 ((~v84(constB82, bitIndex0)) | (~v94(constB82))),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9985, 683, 9979])).
% 38.05/24.51 tff(9987,plain,
% 38.05/24.51 (~v84(constB82, bitIndex0)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9986, 9875])).
% 38.05/24.51 tff(9988,plain,
% 38.05/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9989,plain,
% 38.05/24.51 (((~nextState(constB82, constB83)) | v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0))) <=> (v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0)))),
% 38.05/24.51 inference(rewrite,[status(thm)],[])).
% 38.05/24.51 tff(9990,plain,
% 38.05/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0))))),
% 38.05/24.51 inference(monotonicity,[status(thm)],[9989])).
% 38.05/24.51 tff(9991,plain,
% 38.05/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0)))),
% 38.05/24.51 inference(transitivity,[status(thm)],[9990, 9988])).
% 38.05/24.51 tff(9992,plain,
% 38.05/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0)))),
% 38.05/24.51 inference(quant_inst,[status(thm)],[])).
% 38.05/24.51 tff(9993,plain,
% 38.05/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex0))),
% 38.05/24.51 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 38.05/24.51 tff(9994,plain,
% 38.05/24.51 (v84(constB82, bitIndex0) | v94(constB83) | (~v84(constB83, bitIndex0))),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9993, 249, 9907])).
% 38.05/24.51 tff(9995,plain,
% 38.05/24.51 (v84(constB82, bitIndex0) | (~v84(constB83, bitIndex0))),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9994, 9919])).
% 38.05/24.51 tff(9996,plain,
% 38.05/24.51 (~v84(constB83, bitIndex0)),
% 38.05/24.51 inference(unit_resolution,[status(thm)],[9995, 9987])).
% 38.05/24.51 tff(9997,plain,
% 38.05/24.51 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(9998,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(9999,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83)),
% 38.13/24.51 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 38.13/24.51 tff(10000,plain,
% 38.13/24.51 (v172(constB83)),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[9999, 710, 9996, 9962, 9928])).
% 38.13/24.51 tff(10001,plain,
% 38.13/24.51 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB83) | (~v172(constB83)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB83) | (~v172(constB83)))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10002,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB83) | (~v172(constB83)))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(10003,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB83) | (~v172(constB83))),
% 38.13/24.51 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 38.13/24.51 tff(10004,plain,
% 38.13/24.51 (v109(constB83)),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10003, 764, 10000])).
% 38.13/24.51 tff(10005,plain,
% 38.13/24.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB83) | (~v109(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB83) | (~v109(constB83)))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10006,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB83) | (~v109(constB83)))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(10007,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB83) | (~v109(constB83))),
% 38.13/24.51 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 38.13/24.51 tff(10008,plain,
% 38.13/24.51 (v108(constB83)),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10007, 325, 10004])).
% 38.13/24.51 tff(10009,plain,
% 38.13/24.51 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB83) | (~v108(constB83)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB83) | (~v108(constB83)))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10010,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB83) | (~v108(constB83)))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(10011,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB83) | (~v108(constB83))),
% 38.13/24.51 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 38.13/24.51 tff(10012,plain,
% 38.13/24.51 (v107(constB83)),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10011, 336, 10008])).
% 38.13/24.51 tff(10013,assumption,(v26(constB83)), introduced(assumption)).
% 38.13/24.51 tff(10014,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(10015,plain,
% 38.13/24.51 ($false),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10014, 120, 10013])).
% 38.13/24.51 tff(10016,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 38.13/24.51 tff(10017,plain,
% 38.13/24.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10018,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(10019,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | (~v107(constB83)) | v106(constB83)),
% 38.13/24.51 inference(modus_ponens,[status(thm)],[10018, 10017])).
% 38.13/24.51 tff(10020,plain,
% 38.13/24.51 ((~v107(constB83)) | v106(constB83)),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10019, 350, 10016])).
% 38.13/24.51 tff(10021,plain,
% 38.13/24.51 (v106(constB83)),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10020, 10012])).
% 38.13/24.51 tff(10022,plain,
% 38.13/24.51 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB83) | (~v106(constB83)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB83) | (~v106(constB83)))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10023,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB83) | (~v106(constB83)))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(10024,plain,
% 38.13/24.51 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB83) | (~v106(constB83))),
% 38.13/24.51 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 38.13/24.51 tff(10025,plain,
% 38.13/24.51 (v102(constB83)),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10024, 362, 10021])).
% 38.13/24.51 tff(10026,plain,
% 38.13/24.51 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10027,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 38.13/24.51 tff(10028,plain,
% 38.13/24.51 (nextState(constB83, constB84)),
% 38.13/24.51 inference(modus_ponens,[status(thm)],[10027, 10026])).
% 38.13/24.51 tff(10029,plain,
% 38.13/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10030,plain,
% 38.13/24.51 (((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10031,plain,
% 38.13/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))))),
% 38.13/24.51 inference(monotonicity,[status(thm)],[10030])).
% 38.13/24.51 tff(10032,plain,
% 38.13/24.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 38.13/24.51 inference(transitivity,[status(thm)],[10031, 10029])).
% 38.13/24.51 tff(10033,plain,
% 38.13/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(10034,plain,
% 38.13/24.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))),
% 38.13/24.51 inference(modus_ponens,[status(thm)],[10033, 10032])).
% 38.13/24.51 tff(10035,plain,
% 38.13/24.51 (v104(constB84) | (~v102(constB83))),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10034, 379, 10028])).
% 38.13/24.51 tff(10036,plain,
% 38.13/24.51 (v104(constB84)),
% 38.13/24.51 inference(unit_resolution,[status(thm)],[10035, 10025])).
% 38.13/24.51 tff(10037,plain,
% 38.13/24.51 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 38.13/24.51 inference(rewrite,[status(thm)],[])).
% 38.13/24.51 tff(10038,plain,
% 38.13/24.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 38.13/24.51 inference(quant_inst,[status(thm)],[])).
% 38.13/24.51 tff(10039,plain,
% 38.13/24.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84))),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10038, 10037])).
% 38.13/24.52 tff(10040,plain,
% 38.13/24.52 (~v98(constB84)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10039, 397, 10028, 9904])).
% 38.13/24.52 tff(10041,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10042,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10043,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10042, 10041])).
% 38.13/24.52 tff(10044,plain,
% 38.13/24.52 (v96(constB84) | v98(constB84)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10043, 411, 10028])).
% 38.13/24.52 tff(10045,plain,
% 38.13/24.52 (v96(constB84)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10044, 10040])).
% 38.13/24.52 tff(10046,plain,
% 38.13/24.52 (v1(constB84) <=> v1(constB84)),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10047,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 38.13/24.52 tff(10048,plain,
% 38.13/24.52 (v1(constB84)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10047, 10046])).
% 38.13/24.52 tff(10049,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10050,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10051,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84))),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10050, 10049])).
% 38.13/24.52 tff(10052,plain,
% 38.13/24.52 (v95(constB84) | (~v96(constB84))),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10051, 429, 10028, 10048])).
% 38.13/24.52 tff(10053,plain,
% 38.13/24.52 (v95(constB84)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10052, 10045])).
% 38.13/24.52 tff(10054,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10055,plain,
% 38.13/24.52 (((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84)) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10056,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84))))),
% 38.13/24.52 inference(monotonicity,[status(thm)],[10055])).
% 38.13/24.52 tff(10057,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 38.13/24.52 inference(transitivity,[status(thm)],[10056, 10054])).
% 38.13/24.52 tff(10058,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10059,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84))),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10058, 10057])).
% 38.13/24.52 tff(10060,plain,
% 38.13/24.52 (v94(constB84) | (~v95(constB84)) | (~v104(constB84))),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10059, 444, 10028])).
% 38.13/24.52 tff(10061,plain,
% 38.13/24.52 (v94(constB84) | (~v104(constB84))),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10060, 10053])).
% 38.13/24.52 tff(10062,plain,
% 38.13/24.52 (v94(constB84)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10061, 10036])).
% 38.13/24.52 tff(10063,plain,
% 38.13/24.52 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB83)) | v124(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB83)) | v124(constB83, bitIndex2))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10064,plain,
% 38.13/24.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB83)) | v124(constB83, bitIndex2))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10065,plain,
% 38.13/24.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB83)) | v124(constB83, bitIndex2)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10064, 10063])).
% 38.13/24.52 tff(10066,plain,
% 38.13/24.52 (v124(constB83, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10065, 724, 10000])).
% 38.13/24.52 tff(10067,plain,
% 38.13/24.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10068,plain,
% 38.13/24.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10069,plain,
% 38.13/24.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10068, 10067])).
% 38.13/24.52 tff(10070,plain,
% 38.13/24.52 ((~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10069, 477, 10016])).
% 38.13/24.52 tff(10071,plain,
% 38.13/24.52 (v121(constB83, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10070, 10066])).
% 38.13/24.52 tff(10072,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10073,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10074,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10073, 10072])).
% 38.13/24.52 tff(10075,plain,
% 38.13/24.52 ((~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10074, 492, 10028])).
% 38.13/24.52 tff(10076,plain,
% 38.13/24.52 (v123(constB84, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10075, 10071])).
% 38.13/24.52 tff(10077,plain,
% 38.13/24.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10078,plain,
% 38.13/24.52 ((v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2))) <=> (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10079,plain,
% 38.13/24.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84))))),
% 38.13/24.52 inference(monotonicity,[status(thm)],[10078])).
% 38.13/24.52 tff(10080,plain,
% 38.13/24.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 38.13/24.52 inference(transitivity,[status(thm)],[10079, 10077])).
% 38.13/24.52 tff(10081,plain,
% 38.13/24.52 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10082,plain,
% 38.13/24.52 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84))),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 38.13/24.52 tff(10083,plain,
% 38.13/24.52 (v84(constB84, bitIndex2) | (~v94(constB84))),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10082, 507, 10076])).
% 38.13/24.52 tff(10084,plain,
% 38.13/24.52 (v84(constB84, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10083, 10062])).
% 38.13/24.52 tff(10085,plain,
% 38.13/24.52 ((~v1(constB85)) <=> (~v1(constB85))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10086,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 38.13/24.52 tff(10087,plain,
% 38.13/24.52 (~v1(constB85)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10086, 10085])).
% 38.13/24.52 tff(10088,plain,
% 38.13/24.52 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10089,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 38.13/24.52 tff(10090,plain,
% 38.13/24.52 (nextState(constB84, constB85)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 38.13/24.52 tff(10091,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10092,plain,
% 38.13/24.52 (((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10093,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))))),
% 38.13/24.52 inference(monotonicity,[status(thm)],[10092])).
% 38.13/24.52 tff(10094,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 38.13/24.52 inference(transitivity,[status(thm)],[10093, 10091])).
% 38.13/24.52 tff(10095,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10096,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10095, 10094])).
% 38.13/24.52 tff(10097,plain,
% 38.13/24.52 (~v95(constB85)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10096, 175, 10090, 10087])).
% 38.13/24.52 tff(10098,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10099,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10100,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85))),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10099, 10098])).
% 38.13/24.52 tff(10101,plain,
% 38.13/24.52 (v95(constB85) | (~v94(constB85))),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10100, 192, 10090])).
% 38.13/24.52 tff(10102,plain,
% 38.13/24.52 (~v94(constB85)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10101, 10097])).
% 38.13/24.52 tff(10103,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10104,plain,
% 38.13/24.52 (((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2)) <=> ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10105,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2)))),
% 38.13/24.52 inference(monotonicity,[status(thm)],[10104])).
% 38.13/24.52 tff(10106,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 38.13/24.52 inference(transitivity,[status(thm)],[10105, 10103])).
% 38.13/24.52 tff(10107,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10108,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10107, 10106])).
% 38.13/24.52 tff(10109,plain,
% 38.13/24.52 ((~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10108, 543, 10090])).
% 38.13/24.52 tff(10110,plain,
% 38.13/24.52 ((~v84(constB84, bitIndex2)) | v84(constB85, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10109, 10102])).
% 38.13/24.52 tff(10111,plain,
% 38.13/24.52 (v84(constB85, bitIndex2)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10110, 10084])).
% 38.13/24.52 tff(10112,plain,
% 38.13/24.52 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB83)) | v124(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB83)) | v124(constB83, bitIndex1))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10113,plain,
% 38.13/24.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB83)) | v124(constB83, bitIndex1))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10114,plain,
% 38.13/24.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB83)) | v124(constB83, bitIndex1)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10113, 10112])).
% 38.13/24.52 tff(10115,plain,
% 38.13/24.52 (v124(constB83, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10114, 861, 10000])).
% 38.13/24.52 tff(10116,plain,
% 38.13/24.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10117,plain,
% 38.13/24.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10118,plain,
% 38.13/24.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 38.13/24.52 tff(10119,plain,
% 38.13/24.52 ((~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10118, 875, 10016])).
% 38.13/24.52 tff(10120,plain,
% 38.13/24.52 (v121(constB83, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10119, 10115])).
% 38.13/24.52 tff(10121,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10122,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10123,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10122, 10121])).
% 38.13/24.52 tff(10124,plain,
% 38.13/24.52 ((~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10123, 890, 10028])).
% 38.13/24.52 tff(10125,plain,
% 38.13/24.52 (v123(constB84, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10124, 10120])).
% 38.13/24.52 tff(10126,plain,
% 38.13/24.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10127,plain,
% 38.13/24.52 ((v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1))) <=> (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10128,plain,
% 38.13/24.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84))))),
% 38.13/24.52 inference(monotonicity,[status(thm)],[10127])).
% 38.13/24.52 tff(10129,plain,
% 38.13/24.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 38.13/24.52 inference(transitivity,[status(thm)],[10128, 10126])).
% 38.13/24.52 tff(10130,plain,
% 38.13/24.52 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10131,plain,
% 38.13/24.52 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84))),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10130, 10129])).
% 38.13/24.52 tff(10132,plain,
% 38.13/24.52 (v84(constB84, bitIndex1) | (~v94(constB84))),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10131, 905, 10125])).
% 38.13/24.52 tff(10133,plain,
% 38.13/24.52 (v84(constB84, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10132, 10062])).
% 38.13/24.52 tff(10134,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10135,plain,
% 38.13/24.52 (((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1)) <=> ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10136,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1)))),
% 38.13/24.52 inference(monotonicity,[status(thm)],[10135])).
% 38.13/24.52 tff(10137,plain,
% 38.13/24.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 38.13/24.52 inference(transitivity,[status(thm)],[10136, 10134])).
% 38.13/24.52 tff(10138,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10139,plain,
% 38.13/24.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1)),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10138, 10137])).
% 38.13/24.52 tff(10140,plain,
% 38.13/24.52 ((~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10139, 923, 10090])).
% 38.13/24.52 tff(10141,plain,
% 38.13/24.52 ((~v84(constB84, bitIndex1)) | v84(constB85, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10140, 10102])).
% 38.13/24.52 tff(10142,plain,
% 38.13/24.52 (v84(constB85, bitIndex1)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10141, 10133])).
% 38.13/24.52 tff(10143,plain,
% 38.13/24.52 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB83)) | (~v124(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB83)) | (~v124(constB83, bitIndex0)))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10144,plain,
% 38.13/24.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB83)) | (~v124(constB83, bitIndex0)))),
% 38.13/24.52 inference(quant_inst,[status(thm)],[])).
% 38.13/24.52 tff(10145,plain,
% 38.13/24.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB83)) | (~v124(constB83, bitIndex0))),
% 38.13/24.52 inference(modus_ponens,[status(thm)],[10144, 10143])).
% 38.13/24.52 tff(10146,plain,
% 38.13/24.52 (~v124(constB83, bitIndex0)),
% 38.13/24.52 inference(unit_resolution,[status(thm)],[10145, 942, 10000])).
% 38.13/24.52 tff(10147,plain,
% 38.13/24.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10148,plain,
% 38.13/24.52 ((v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0))) <=> ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 38.13/24.52 inference(rewrite,[status(thm)],[])).
% 38.13/24.52 tff(10149,plain,
% 38.13/24.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0)))),
% 38.13/24.53 inference(monotonicity,[status(thm)],[10148])).
% 38.13/24.53 tff(10150,plain,
% 38.13/24.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 38.13/24.53 inference(transitivity,[status(thm)],[10149, 10147])).
% 38.13/24.53 tff(10151,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10152,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0)),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 38.13/24.53 tff(10153,plain,
% 38.13/24.53 ((~v121(constB83, bitIndex0)) | v124(constB83, bitIndex0)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10152, 650, 10016])).
% 38.13/24.53 tff(10154,plain,
% 38.13/24.53 (~v121(constB83, bitIndex0)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10153, 10146])).
% 38.13/24.53 tff(10155,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10156,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10157,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 38.13/24.53 tff(10158,plain,
% 38.13/24.53 (v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0))),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10157, 668, 10028])).
% 38.13/24.53 tff(10159,plain,
% 38.13/24.53 (~v123(constB84, bitIndex0)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10158, 10154])).
% 38.13/24.53 tff(10160,plain,
% 38.13/24.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10161,plain,
% 38.13/24.53 (((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0)) <=> ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10162,plain,
% 38.13/24.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84))))),
% 38.13/24.53 inference(monotonicity,[status(thm)],[10161])).
% 38.13/24.53 tff(10163,plain,
% 38.13/24.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 38.13/24.53 inference(transitivity,[status(thm)],[10162, 10160])).
% 38.13/24.53 tff(10164,plain,
% 38.13/24.53 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10165,plain,
% 38.13/24.53 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 38.13/24.53 tff(10166,plain,
% 38.13/24.53 ((~v84(constB84, bitIndex0)) | (~v94(constB84))),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10165, 683, 10159])).
% 38.13/24.53 tff(10167,plain,
% 38.13/24.53 (~v84(constB84, bitIndex0)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10166, 10062])).
% 38.13/24.53 tff(10168,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10169,plain,
% 38.13/24.53 (((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0))) <=> (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10170,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0))))),
% 38.13/24.53 inference(monotonicity,[status(thm)],[10169])).
% 38.13/24.53 tff(10171,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 38.13/24.53 inference(transitivity,[status(thm)],[10170, 10168])).
% 38.13/24.53 tff(10172,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10173,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 38.13/24.53 tff(10174,plain,
% 38.13/24.53 (v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0))),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10173, 249, 10090])).
% 38.13/24.53 tff(10175,plain,
% 38.13/24.53 (v84(constB84, bitIndex0) | (~v84(constB85, bitIndex0))),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10174, 10102])).
% 38.13/24.53 tff(10176,plain,
% 38.13/24.53 (~v84(constB85, bitIndex0)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10175, 10167])).
% 38.13/24.53 tff(10177,plain,
% 38.13/24.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10178,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10179,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85)),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10178, 10177])).
% 38.13/24.53 tff(10180,plain,
% 38.13/24.53 (v119(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10179, 986, 10176, 10142, 10111])).
% 38.13/24.53 tff(10181,plain,
% 38.13/24.53 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB85) | (~v119(constB85)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB85) | (~v119(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10182,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB85) | (~v119(constB85)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10183,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB85) | (~v119(constB85))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 38.13/24.53 tff(10184,plain,
% 38.13/24.53 (v107(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10183, 997, 10180])).
% 38.13/24.53 tff(10185,assumption,(v26(constB85)), introduced(assumption)).
% 38.13/24.53 tff(10186,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10187,plain,
% 38.13/24.53 ($false),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10186, 120, 10185])).
% 38.13/24.53 tff(10188,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 38.13/24.53 tff(10189,plain,
% 38.13/24.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | (~v107(constB85)) | v106(constB85))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10190,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10191,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | (~v107(constB85)) | v106(constB85)),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10190, 10189])).
% 38.13/24.53 tff(10192,plain,
% 38.13/24.53 ((~v107(constB85)) | v106(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10191, 350, 10188])).
% 38.13/24.53 tff(10193,plain,
% 38.13/24.53 (v106(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10192, 10184])).
% 38.13/24.53 tff(10194,plain,
% 38.13/24.53 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB85) | (~v106(constB85)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB85) | (~v106(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10195,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB85) | (~v106(constB85)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10196,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB85) | (~v106(constB85))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10195, 10194])).
% 38.13/24.53 tff(10197,plain,
% 38.13/24.53 (v102(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10196, 362, 10193])).
% 38.13/24.53 tff(10198,plain,
% 38.13/24.53 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10199,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 38.13/24.53 tff(10200,plain,
% 38.13/24.53 (nextState(constB85, constB86)),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10199, 10198])).
% 38.13/24.53 tff(10201,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10202,plain,
% 38.13/24.53 (((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10203,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))))),
% 38.13/24.53 inference(monotonicity,[status(thm)],[10202])).
% 38.13/24.53 tff(10204,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 38.13/24.53 inference(transitivity,[status(thm)],[10203, 10201])).
% 38.13/24.53 tff(10205,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10206,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10205, 10204])).
% 38.13/24.53 tff(10207,plain,
% 38.13/24.53 (v104(constB86) | (~v102(constB85))),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10206, 379, 10200])).
% 38.13/24.53 tff(10208,plain,
% 38.13/24.53 (v104(constB86)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10207, 10197])).
% 38.13/24.53 tff(10209,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10210,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10211,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10210, 10209])).
% 38.13/24.53 tff(10212,plain,
% 38.13/24.53 (~v98(constB86)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10211, 397, 10200, 10087])).
% 38.13/24.53 tff(10213,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10214,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10215,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86)),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 38.13/24.53 tff(10216,plain,
% 38.13/24.53 (v96(constB86) | v98(constB86)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10215, 411, 10200])).
% 38.13/24.53 tff(10217,plain,
% 38.13/24.53 (v96(constB86)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10216, 10212])).
% 38.13/24.53 tff(10218,plain,
% 38.13/24.53 (v1(constB86) <=> v1(constB86)),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10219,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 38.13/24.53 tff(10220,plain,
% 38.13/24.53 (v1(constB86)),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10219, 10218])).
% 38.13/24.53 tff(10221,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10222,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10223,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10222, 10221])).
% 38.13/24.53 tff(10224,plain,
% 38.13/24.53 (v95(constB86) | (~v96(constB86))),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10223, 429, 10200, 10220])).
% 38.13/24.53 tff(10225,plain,
% 38.13/24.53 (v95(constB86)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10224, 10217])).
% 38.13/24.53 tff(10226,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10227,plain,
% 38.13/24.53 (((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86)) <=> ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10228,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86))))),
% 38.13/24.53 inference(monotonicity,[status(thm)],[10227])).
% 38.13/24.53 tff(10229,plain,
% 38.13/24.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 38.13/24.53 inference(transitivity,[status(thm)],[10228, 10226])).
% 38.13/24.53 tff(10230,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10231,plain,
% 38.13/24.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10230, 10229])).
% 38.13/24.53 tff(10232,plain,
% 38.13/24.53 (v94(constB86) | (~v95(constB86)) | (~v104(constB86))),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10231, 444, 10200])).
% 38.13/24.53 tff(10233,plain,
% 38.13/24.53 (v94(constB86) | (~v104(constB86))),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10232, 10225])).
% 38.13/24.53 tff(10234,plain,
% 38.13/24.53 (v94(constB86)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10233, 10208])).
% 38.13/24.53 tff(10235,plain,
% 38.13/24.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v118(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v118(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10236,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v118(constB85)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10237,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v118(constB85))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10236, 10235])).
% 38.13/24.53 tff(10238,plain,
% 38.13/24.53 (~v118(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10237, 1094, 10142])).
% 38.13/24.53 tff(10239,plain,
% 38.13/24.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v116(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v116(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10240,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v116(constB85)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10241,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v116(constB85))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10240, 10239])).
% 38.13/24.53 tff(10242,plain,
% 38.13/24.53 (~v116(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10241, 1069, 10111])).
% 38.13/24.53 tff(10243,plain,
% 38.13/24.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v115(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v115(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10244,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v115(constB85)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10245,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v115(constB85))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10244, 10243])).
% 38.13/24.53 tff(10246,plain,
% 38.13/24.53 (~v115(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10245, 1058, 10111])).
% 38.13/24.53 tff(10247,plain,
% 38.13/24.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v172(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v172(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10248,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v172(constB85)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10249,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v172(constB85))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 38.13/24.53 tff(10250,plain,
% 38.13/24.53 (~v172(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10249, 1105, 10142])).
% 38.13/24.53 tff(10251,plain,
% 38.13/24.53 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10252,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10253,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 38.13/24.53 tff(10254,plain,
% 38.13/24.53 (~v113(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10253, 1083, 10142])).
% 38.13/24.53 tff(10255,plain,
% 38.13/24.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v145(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v145(constB85)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10256,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v145(constB85)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10257,plain,
% 38.13/24.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v145(constB85))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10256, 10255])).
% 38.13/24.53 tff(10258,plain,
% 38.13/24.53 (~v145(constB85)),
% 38.13/24.53 inference(unit_resolution,[status(thm)],[10257, 1116, 10142])).
% 38.13/24.53 tff(10259,plain,
% 38.13/24.53 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10260,plain,
% 38.13/24.53 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2))) <=> (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 38.13/24.53 inference(rewrite,[status(thm)],[])).
% 38.13/24.53 tff(10261,plain,
% 38.13/24.53 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2))))),
% 38.13/24.53 inference(monotonicity,[status(thm)],[10260])).
% 38.13/24.53 tff(10262,plain,
% 38.13/24.53 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 38.13/24.53 inference(transitivity,[status(thm)],[10261, 10259])).
% 38.13/24.53 tff(10263,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))),
% 38.13/24.53 inference(quant_inst,[status(thm)],[])).
% 38.13/24.53 tff(10264,plain,
% 38.13/24.53 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex2))),
% 38.13/24.53 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 38.13/24.54 tff(10265,plain,
% 38.13/24.54 (~v124(constB85, bitIndex2)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10264, 1130, 10258, 10254, 10250, 10246, 10242, 10238])).
% 38.13/24.54 tff(10266,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10267,plain,
% 38.13/24.54 ((v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2))) <=> ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10268,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2)))),
% 38.13/24.54 inference(monotonicity,[status(thm)],[10267])).
% 38.13/24.54 tff(10269,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 38.13/24.54 inference(transitivity,[status(thm)],[10268, 10266])).
% 38.13/24.54 tff(10270,plain,
% 38.13/24.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10271,plain,
% 38.13/24.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2)),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 38.13/24.54 tff(10272,plain,
% 38.13/24.54 ((~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10271, 1147, 10188])).
% 38.13/24.54 tff(10273,plain,
% 38.13/24.54 (~v121(constB85, bitIndex2)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10272, 10265])).
% 38.13/24.54 tff(10274,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10275,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10276,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10275, 10274])).
% 38.13/24.54 tff(10277,plain,
% 38.13/24.54 (v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10276, 1165, 10200])).
% 38.13/24.54 tff(10278,plain,
% 38.13/24.54 (~v123(constB86, bitIndex2)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10277, 10273])).
% 38.13/24.54 tff(10279,plain,
% 38.13/24.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10280,plain,
% 38.13/24.54 (((~v84(constB86, bitIndex2)) | (~v94(constB86)) | v123(constB86, bitIndex2)) <=> ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10281,plain,
% 38.13/24.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~v94(constB86)) | v123(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86))))),
% 38.13/24.54 inference(monotonicity,[status(thm)],[10280])).
% 38.13/24.54 tff(10282,plain,
% 38.13/24.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~v94(constB86)) | v123(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 38.13/24.54 inference(transitivity,[status(thm)],[10281, 10279])).
% 38.13/24.54 tff(10283,plain,
% 38.13/24.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~v94(constB86)) | v123(constB86, bitIndex2))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10284,plain,
% 38.13/24.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 38.13/24.54 tff(10285,plain,
% 38.13/24.54 ((~v84(constB86, bitIndex2)) | (~v94(constB86))),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10284, 1180, 10278])).
% 38.13/24.54 tff(10286,plain,
% 38.13/24.54 (~v84(constB86, bitIndex2)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10285, 10234])).
% 38.13/24.54 tff(10287,plain,
% 38.13/24.54 ((~v1(constB87)) <=> (~v1(constB87))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10288,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 38.13/24.54 tff(10289,plain,
% 38.13/24.54 (~v1(constB87)),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10288, 10287])).
% 38.13/24.54 tff(10290,plain,
% 38.13/24.54 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10291,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 38.13/24.54 tff(10292,plain,
% 38.13/24.54 (nextState(constB86, constB87)),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 38.13/24.54 tff(10293,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10294,plain,
% 38.13/24.54 (((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10295,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))))),
% 38.13/24.54 inference(monotonicity,[status(thm)],[10294])).
% 38.13/24.54 tff(10296,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 38.13/24.54 inference(transitivity,[status(thm)],[10295, 10293])).
% 38.13/24.54 tff(10297,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10298,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 38.13/24.54 tff(10299,plain,
% 38.13/24.54 (~v95(constB87)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10298, 175, 10292, 10289])).
% 38.13/24.54 tff(10300,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10301,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10302,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10301, 10300])).
% 38.13/24.54 tff(10303,plain,
% 38.13/24.54 (v95(constB87) | (~v94(constB87))),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10302, 192, 10292])).
% 38.13/24.54 tff(10304,plain,
% 38.13/24.54 (~v94(constB87)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10303, 10299])).
% 38.13/24.54 tff(10305,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10306,plain,
% 38.13/24.54 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2))) <=> (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10307,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2))))),
% 38.13/24.54 inference(monotonicity,[status(thm)],[10306])).
% 38.13/24.54 tff(10308,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 38.13/24.54 inference(transitivity,[status(thm)],[10307, 10305])).
% 38.13/24.54 tff(10309,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10310,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 38.13/24.54 tff(10311,plain,
% 38.13/24.54 (v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2))),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10310, 207, 10292])).
% 38.13/24.54 tff(10312,plain,
% 38.13/24.54 (v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2))),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10311, 10304])).
% 38.13/24.54 tff(10313,plain,
% 38.13/24.54 (~v84(constB87, bitIndex2)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10312, 10286])).
% 38.13/24.54 tff(10314,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10315,plain,
% 38.13/24.54 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1))) <=> (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10316,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1))))),
% 38.13/24.54 inference(monotonicity,[status(thm)],[10315])).
% 38.13/24.54 tff(10317,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 38.13/24.54 inference(transitivity,[status(thm)],[10316, 10314])).
% 38.13/24.54 tff(10318,plain,
% 38.13/24.54 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10319,plain,
% 38.13/24.54 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | (~v124(constB85, bitIndex1))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10318, 10317])).
% 38.13/24.54 tff(10320,plain,
% 38.13/24.54 (~v124(constB85, bitIndex1)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10319, 1225, 10258, 10254, 10250, 10246, 10242, 10238])).
% 38.13/24.54 tff(10321,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10322,plain,
% 38.13/24.54 ((v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1))) <=> ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10323,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1)))),
% 38.13/24.54 inference(monotonicity,[status(thm)],[10322])).
% 38.13/24.54 tff(10324,plain,
% 38.13/24.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 38.13/24.54 inference(transitivity,[status(thm)],[10323, 10321])).
% 38.13/24.54 tff(10325,plain,
% 38.13/24.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10326,plain,
% 38.13/24.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1)),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10325, 10324])).
% 38.13/24.54 tff(10327,plain,
% 38.13/24.54 ((~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10326, 576, 10188])).
% 38.13/24.54 tff(10328,plain,
% 38.13/24.54 (~v121(constB85, bitIndex1)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10327, 10320])).
% 38.13/24.54 tff(10329,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10330,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10331,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 38.13/24.54 tff(10332,plain,
% 38.13/24.54 (v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1))),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10331, 594, 10200])).
% 38.13/24.54 tff(10333,plain,
% 38.13/24.54 (~v123(constB86, bitIndex1)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10332, 10328])).
% 38.13/24.54 tff(10334,plain,
% 38.13/24.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10335,plain,
% 38.13/24.54 (((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1)) <=> ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10336,plain,
% 38.13/24.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86))))),
% 38.13/24.54 inference(monotonicity,[status(thm)],[10335])).
% 38.13/24.54 tff(10337,plain,
% 38.13/24.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 38.13/24.54 inference(transitivity,[status(thm)],[10336, 10334])).
% 38.13/24.54 tff(10338,plain,
% 38.13/24.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10339,plain,
% 38.13/24.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 38.13/24.54 tff(10340,plain,
% 38.13/24.54 ((~v84(constB86, bitIndex1)) | (~v94(constB86))),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10339, 609, 10333])).
% 38.13/24.54 tff(10341,plain,
% 38.13/24.54 (~v84(constB86, bitIndex1)),
% 38.13/24.54 inference(unit_resolution,[status(thm)],[10340, 10234])).
% 38.13/24.54 tff(10342,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10343,plain,
% 38.13/24.54 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1))) <=> (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 38.13/24.54 inference(rewrite,[status(thm)],[])).
% 38.13/24.54 tff(10344,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1))))),
% 38.13/24.54 inference(monotonicity,[status(thm)],[10343])).
% 38.13/24.54 tff(10345,plain,
% 38.13/24.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 38.13/24.54 inference(transitivity,[status(thm)],[10344, 10342])).
% 38.13/24.54 tff(10346,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 38.13/24.54 inference(quant_inst,[status(thm)],[])).
% 38.13/24.54 tff(10347,plain,
% 38.13/24.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1))),
% 38.13/24.54 inference(modus_ponens,[status(thm)],[10346, 10345])).
% 38.13/24.55 tff(10348,plain,
% 38.13/24.55 (v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1))),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10347, 228, 10292])).
% 38.13/24.55 tff(10349,plain,
% 38.13/24.55 (v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1))),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10348, 10304])).
% 38.13/24.55 tff(10350,plain,
% 38.13/24.55 (~v84(constB87, bitIndex1)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10349, 10341])).
% 38.13/24.55 tff(10351,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10352,plain,
% 38.13/24.55 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0)) <=> (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10353,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0)))),
% 38.13/24.55 inference(monotonicity,[status(thm)],[10352])).
% 38.13/24.55 tff(10354,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 38.13/24.55 inference(transitivity,[status(thm)],[10353, 10351])).
% 38.13/24.55 tff(10355,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10356,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB85) | v172(constB85) | v145(constB85) | v115(constB85) | v118(constB85) | v116(constB85) | v124(constB85, bitIndex0)),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10355, 10354])).
% 38.13/24.55 tff(10357,plain,
% 38.13/24.55 (v124(constB85, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10356, 1272, 10258, 10254, 10250, 10246, 10242, 10238])).
% 38.13/24.55 tff(10358,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10359,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10360,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0)),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10359, 10358])).
% 38.13/24.55 tff(10361,plain,
% 38.13/24.55 ((~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10360, 1289, 10188])).
% 38.13/24.55 tff(10362,plain,
% 38.13/24.55 (v121(constB85, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10361, 10357])).
% 38.13/24.55 tff(10363,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10364,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10365,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0)),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 38.13/24.55 tff(10366,plain,
% 38.13/24.55 ((~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10365, 1304, 10200])).
% 38.13/24.55 tff(10367,plain,
% 38.13/24.55 (v123(constB86, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10366, 10362])).
% 38.13/24.55 tff(10368,plain,
% 38.13/24.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10369,plain,
% 38.13/24.55 ((v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0))) <=> (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10370,plain,
% 38.13/24.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86))))),
% 38.13/24.55 inference(monotonicity,[status(thm)],[10369])).
% 38.13/24.55 tff(10371,plain,
% 38.13/24.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 38.13/24.55 inference(transitivity,[status(thm)],[10370, 10368])).
% 38.13/24.55 tff(10372,plain,
% 38.13/24.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10373,plain,
% 38.13/24.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10372, 10371])).
% 38.13/24.55 tff(10374,plain,
% 38.13/24.55 (v84(constB86, bitIndex0) | (~v94(constB86))),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10373, 1319, 10367])).
% 38.13/24.55 tff(10375,plain,
% 38.13/24.55 (v84(constB86, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10374, 10234])).
% 38.13/24.55 tff(10376,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10377,plain,
% 38.13/24.55 (((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0)) <=> ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10378,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0)))),
% 38.13/24.55 inference(monotonicity,[status(thm)],[10377])).
% 38.13/24.55 tff(10379,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 38.13/24.55 inference(transitivity,[status(thm)],[10378, 10376])).
% 38.13/24.55 tff(10380,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10381,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0)),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10380, 10379])).
% 38.13/24.55 tff(10382,plain,
% 38.13/24.55 ((~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10381, 1337, 10292])).
% 38.13/24.55 tff(10383,plain,
% 38.13/24.55 ((~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10382, 10304])).
% 38.13/24.55 tff(10384,plain,
% 38.13/24.55 (v84(constB87, bitIndex0)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10383, 10375])).
% 38.13/24.55 tff(10385,plain,
% 38.13/24.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10386,plain,
% 38.13/24.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10387,plain,
% 38.13/24.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87)),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10386, 10385])).
% 38.13/24.55 tff(10388,plain,
% 38.13/24.55 (v145(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10387, 1356, 10384, 10350, 10313])).
% 38.13/24.55 tff(10389,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10390,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10391,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 38.13/24.55 tff(10392,plain,
% 38.13/24.55 (v112(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10391, 1367, 10388])).
% 38.13/24.55 tff(10393,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB87) | (~v112(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10394,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB87) | (~v112(constB87)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10395,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB87) | (~v112(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10394, 10393])).
% 38.13/24.55 tff(10396,plain,
% 38.13/24.55 (v111(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10395, 292, 10392])).
% 38.13/24.55 tff(10397,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB87) | (~v111(constB87)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB87) | (~v111(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10398,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB87) | (~v111(constB87)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10399,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB87) | (~v111(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10398, 10397])).
% 38.13/24.55 tff(10400,plain,
% 38.13/24.55 (v110(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10399, 303, 10396])).
% 38.13/24.55 tff(10401,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB87) | (~v110(constB87)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB87) | (~v110(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10402,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB87) | (~v110(constB87)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10403,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB87) | (~v110(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10402, 10401])).
% 38.13/24.55 tff(10404,plain,
% 38.13/24.55 (v109(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10403, 314, 10400])).
% 38.13/24.55 tff(10405,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB87) | (~v109(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB87) | (~v109(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10406,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB87) | (~v109(constB87)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10407,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB87) | (~v109(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10406, 10405])).
% 38.13/24.55 tff(10408,plain,
% 38.13/24.55 (v108(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10407, 325, 10404])).
% 38.13/24.55 tff(10409,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB87) | (~v108(constB87)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB87) | (~v108(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10410,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB87) | (~v108(constB87)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10411,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB87) | (~v108(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 38.13/24.55 tff(10412,plain,
% 38.13/24.55 (v107(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10411, 336, 10408])).
% 38.13/24.55 tff(10413,assumption,(v26(constB87)), introduced(assumption)).
% 38.13/24.55 tff(10414,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10415,plain,
% 38.13/24.55 ($false),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10414, 120, 10413])).
% 38.13/24.55 tff(10416,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 38.13/24.55 tff(10417,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10418,plain,
% 38.13/24.55 ((v26(constB87) | (~v107(constB87)) | v106(constB87)) <=> (v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10419,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87))))),
% 38.13/24.55 inference(monotonicity,[status(thm)],[10418])).
% 38.13/24.55 tff(10420,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 38.13/24.55 inference(transitivity,[status(thm)],[10419, 10417])).
% 38.13/24.55 tff(10421,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10422,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10421, 10420])).
% 38.13/24.55 tff(10423,plain,
% 38.13/24.55 (v106(constB87) | (~v107(constB87))),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10422, 350, 10416])).
% 38.13/24.55 tff(10424,plain,
% 38.13/24.55 (v106(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10423, 10412])).
% 38.13/24.55 tff(10425,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB87) | (~v106(constB87)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB87) | (~v106(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10426,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB87) | (~v106(constB87)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10427,plain,
% 38.13/24.55 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB87) | (~v106(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10426, 10425])).
% 38.13/24.55 tff(10428,plain,
% 38.13/24.55 (v102(constB87)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10427, 362, 10424])).
% 38.13/24.55 tff(10429,plain,
% 38.13/24.55 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10430,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 38.13/24.55 tff(10431,plain,
% 38.13/24.55 (nextState(constB87, constB88)),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 38.13/24.55 tff(10432,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10433,plain,
% 38.13/24.55 (((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10434,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))))),
% 38.13/24.55 inference(monotonicity,[status(thm)],[10433])).
% 38.13/24.55 tff(10435,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 38.13/24.55 inference(transitivity,[status(thm)],[10434, 10432])).
% 38.13/24.55 tff(10436,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10437,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10436, 10435])).
% 38.13/24.55 tff(10438,plain,
% 38.13/24.55 (v104(constB88) | (~v102(constB87))),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10437, 379, 10431])).
% 38.13/24.55 tff(10439,plain,
% 38.13/24.55 (v104(constB88)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10438, 10428])).
% 38.13/24.55 tff(10440,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10441,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10442,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10441, 10440])).
% 38.13/24.55 tff(10443,plain,
% 38.13/24.55 (~v98(constB88)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10442, 397, 10431, 10289])).
% 38.13/24.55 tff(10444,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10445,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10446,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88)),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10445, 10444])).
% 38.13/24.55 tff(10447,plain,
% 38.13/24.55 (v96(constB88) | v98(constB88)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10446, 411, 10431])).
% 38.13/24.55 tff(10448,plain,
% 38.13/24.55 (v96(constB88)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10447, 10443])).
% 38.13/24.55 tff(10449,plain,
% 38.13/24.55 (v1(constB88) <=> v1(constB88)),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10450,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 38.13/24.55 tff(10451,plain,
% 38.13/24.55 (v1(constB88)),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 38.13/24.55 tff(10452,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10453,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10454,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 38.13/24.55 tff(10455,plain,
% 38.13/24.55 (v95(constB88) | (~v96(constB88))),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10454, 429, 10431, 10451])).
% 38.13/24.55 tff(10456,plain,
% 38.13/24.55 (v95(constB88)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10455, 10448])).
% 38.13/24.55 tff(10457,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10458,plain,
% 38.13/24.55 (((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88)) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10459,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88))))),
% 38.13/24.55 inference(monotonicity,[status(thm)],[10458])).
% 38.13/24.55 tff(10460,plain,
% 38.13/24.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 38.13/24.55 inference(transitivity,[status(thm)],[10459, 10457])).
% 38.13/24.55 tff(10461,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10462,plain,
% 38.13/24.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10461, 10460])).
% 38.13/24.55 tff(10463,plain,
% 38.13/24.55 (v94(constB88) | (~v95(constB88)) | (~v104(constB88))),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10462, 444, 10431])).
% 38.13/24.55 tff(10464,plain,
% 38.13/24.55 (v94(constB88) | (~v104(constB88))),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10463, 10456])).
% 38.13/24.55 tff(10465,plain,
% 38.13/24.55 (v94(constB88)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10464, 10439])).
% 38.13/24.55 tff(10466,plain,
% 38.13/24.55 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10467,plain,
% 38.13/24.55 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 38.13/24.55 inference(quant_inst,[status(thm)],[])).
% 38.13/24.55 tff(10468,plain,
% 38.13/24.55 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB87)) | (~v124(constB87, bitIndex2))),
% 38.13/24.55 inference(modus_ponens,[status(thm)],[10467, 10466])).
% 38.13/24.55 tff(10469,plain,
% 38.13/24.55 (~v124(constB87, bitIndex2)),
% 38.13/24.55 inference(unit_resolution,[status(thm)],[10468, 1451, 10388])).
% 38.13/24.55 tff(10470,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10471,plain,
% 38.13/24.55 ((v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2))) <=> ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 38.13/24.55 inference(rewrite,[status(thm)],[])).
% 38.13/24.55 tff(10472,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2)))),
% 38.13/24.55 inference(monotonicity,[status(thm)],[10471])).
% 38.13/24.55 tff(10473,plain,
% 38.13/24.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 38.13/24.56 inference(transitivity,[status(thm)],[10472, 10470])).
% 38.13/24.56 tff(10474,plain,
% 38.13/24.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10475,plain,
% 38.13/24.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2)),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10474, 10473])).
% 38.13/24.56 tff(10476,plain,
% 38.13/24.56 ((~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10475, 1147, 10416])).
% 38.13/24.56 tff(10477,plain,
% 38.13/24.56 (~v121(constB87, bitIndex2)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10476, 10469])).
% 38.13/24.56 tff(10478,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10479,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10480,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10479, 10478])).
% 38.13/24.56 tff(10481,plain,
% 38.13/24.56 (v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2))),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10480, 1165, 10431])).
% 38.13/24.56 tff(10482,plain,
% 38.13/24.56 (~v123(constB88, bitIndex2)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10481, 10477])).
% 38.13/24.56 tff(10483,plain,
% 38.13/24.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10484,plain,
% 38.13/24.56 (((~v84(constB88, bitIndex2)) | (~v94(constB88)) | v123(constB88, bitIndex2)) <=> ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10485,plain,
% 38.13/24.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | (~v94(constB88)) | v123(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88))))),
% 38.13/24.56 inference(monotonicity,[status(thm)],[10484])).
% 38.13/24.56 tff(10486,plain,
% 38.13/24.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | (~v94(constB88)) | v123(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 38.13/24.56 inference(transitivity,[status(thm)],[10485, 10483])).
% 38.13/24.56 tff(10487,plain,
% 38.13/24.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | (~v94(constB88)) | v123(constB88, bitIndex2))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10488,plain,
% 38.13/24.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 38.13/24.56 tff(10489,plain,
% 38.13/24.56 ((~v84(constB88, bitIndex2)) | (~v94(constB88))),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10488, 1180, 10482])).
% 38.13/24.56 tff(10490,plain,
% 38.13/24.56 (~v84(constB88, bitIndex2)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10489, 10465])).
% 38.13/24.56 tff(10491,plain,
% 38.13/24.56 ((~v1(constB89)) <=> (~v1(constB89))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10492,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 38.13/24.56 tff(10493,plain,
% 38.13/24.56 (~v1(constB89)),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 38.13/24.56 tff(10494,plain,
% 38.13/24.56 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10495,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 38.13/24.56 tff(10496,plain,
% 38.13/24.56 (nextState(constB88, constB89)),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10495, 10494])).
% 38.13/24.56 tff(10497,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10498,plain,
% 38.13/24.56 (((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10499,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))))),
% 38.13/24.56 inference(monotonicity,[status(thm)],[10498])).
% 38.13/24.56 tff(10500,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 38.13/24.56 inference(transitivity,[status(thm)],[10499, 10497])).
% 38.13/24.56 tff(10501,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10502,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 38.13/24.56 tff(10503,plain,
% 38.13/24.56 (~v95(constB89)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10502, 175, 10496, 10493])).
% 38.13/24.56 tff(10504,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10505,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10506,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 38.13/24.56 tff(10507,plain,
% 38.13/24.56 (v95(constB89) | (~v94(constB89))),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10506, 192, 10496])).
% 38.13/24.56 tff(10508,plain,
% 38.13/24.56 (~v94(constB89)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10507, 10503])).
% 38.13/24.56 tff(10509,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10510,plain,
% 38.13/24.56 (((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2))) <=> (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10511,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2))))),
% 38.13/24.56 inference(monotonicity,[status(thm)],[10510])).
% 38.13/24.56 tff(10512,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 38.13/24.56 inference(transitivity,[status(thm)],[10511, 10509])).
% 38.13/24.56 tff(10513,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10514,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 38.13/24.56 tff(10515,plain,
% 38.13/24.56 (v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2))),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10514, 207, 10496])).
% 38.13/24.56 tff(10516,plain,
% 38.13/24.56 (v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2))),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10515, 10508])).
% 38.13/24.56 tff(10517,plain,
% 38.13/24.56 (~v84(constB89, bitIndex2)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10516, 10490])).
% 38.13/24.56 tff(10518,plain,
% 38.13/24.56 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB87)) | v124(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB87)) | v124(constB87, bitIndex1))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10519,plain,
% 38.13/24.56 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB87)) | v124(constB87, bitIndex1))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10520,plain,
% 38.13/24.56 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB87)) | v124(constB87, bitIndex1)),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10519, 10518])).
% 38.13/24.56 tff(10521,plain,
% 38.13/24.56 (v124(constB87, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10520, 1513, 10388])).
% 38.13/24.56 tff(10522,plain,
% 38.13/24.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10523,plain,
% 38.13/24.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10524,plain,
% 38.13/24.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10523, 10522])).
% 38.13/24.56 tff(10525,plain,
% 38.13/24.56 ((~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10524, 875, 10416])).
% 38.13/24.56 tff(10526,plain,
% 38.13/24.56 (v121(constB87, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10525, 10521])).
% 38.13/24.56 tff(10527,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10528,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10529,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1)),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 38.13/24.56 tff(10530,plain,
% 38.13/24.56 ((~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10529, 890, 10431])).
% 38.13/24.56 tff(10531,plain,
% 38.13/24.56 (v123(constB88, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10530, 10526])).
% 38.13/24.56 tff(10532,plain,
% 38.13/24.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10533,plain,
% 38.13/24.56 ((v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1))) <=> (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10534,plain,
% 38.13/24.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88))))),
% 38.13/24.56 inference(monotonicity,[status(thm)],[10533])).
% 38.13/24.56 tff(10535,plain,
% 38.13/24.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 38.13/24.56 inference(transitivity,[status(thm)],[10534, 10532])).
% 38.13/24.56 tff(10536,plain,
% 38.13/24.56 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10537,plain,
% 38.13/24.56 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10536, 10535])).
% 38.13/24.56 tff(10538,plain,
% 38.13/24.56 (v84(constB88, bitIndex1) | (~v94(constB88))),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10537, 905, 10531])).
% 38.13/24.56 tff(10539,plain,
% 38.13/24.56 (v84(constB88, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10538, 10465])).
% 38.13/24.56 tff(10540,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10541,plain,
% 38.13/24.56 (((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1)) <=> ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10542,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1)))),
% 38.13/24.56 inference(monotonicity,[status(thm)],[10541])).
% 38.13/24.56 tff(10543,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 38.13/24.56 inference(transitivity,[status(thm)],[10542, 10540])).
% 38.13/24.56 tff(10544,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10545,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1)),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10544, 10543])).
% 38.13/24.56 tff(10546,plain,
% 38.13/24.56 ((~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10545, 923, 10496])).
% 38.13/24.56 tff(10547,plain,
% 38.13/24.56 ((~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10546, 10508])).
% 38.13/24.56 tff(10548,plain,
% 38.13/24.56 (v84(constB89, bitIndex1)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10547, 10539])).
% 38.13/24.56 tff(10549,plain,
% 38.13/24.56 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10550,plain,
% 38.13/24.56 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10551,plain,
% 38.13/24.56 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB87)) | (~v124(constB87, bitIndex0))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 38.13/24.56 tff(10552,plain,
% 38.13/24.56 (~v124(constB87, bitIndex0)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10551, 1554, 10388])).
% 38.13/24.56 tff(10553,plain,
% 38.13/24.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10554,plain,
% 38.13/24.56 ((v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0))) <=> ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10555,plain,
% 38.13/24.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0)))),
% 38.13/24.56 inference(monotonicity,[status(thm)],[10554])).
% 38.13/24.56 tff(10556,plain,
% 38.13/24.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 38.13/24.56 inference(transitivity,[status(thm)],[10555, 10553])).
% 38.13/24.56 tff(10557,plain,
% 38.13/24.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10558,plain,
% 38.13/24.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0)),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10557, 10556])).
% 38.13/24.56 tff(10559,plain,
% 38.13/24.56 ((~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10558, 650, 10416])).
% 38.13/24.56 tff(10560,plain,
% 38.13/24.56 (~v121(constB87, bitIndex0)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10559, 10552])).
% 38.13/24.56 tff(10561,plain,
% 38.13/24.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10562,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10563,plain,
% 38.13/24.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 38.13/24.56 tff(10564,plain,
% 38.13/24.56 (v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0))),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10563, 668, 10431])).
% 38.13/24.56 tff(10565,plain,
% 38.13/24.56 (~v123(constB88, bitIndex0)),
% 38.13/24.56 inference(unit_resolution,[status(thm)],[10564, 10560])).
% 38.13/24.56 tff(10566,plain,
% 38.13/24.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10567,plain,
% 38.13/24.56 (((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0)) <=> ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 38.13/24.56 inference(rewrite,[status(thm)],[])).
% 38.13/24.56 tff(10568,plain,
% 38.13/24.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88))))),
% 38.13/24.56 inference(monotonicity,[status(thm)],[10567])).
% 38.13/24.56 tff(10569,plain,
% 38.13/24.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 38.13/24.56 inference(transitivity,[status(thm)],[10568, 10566])).
% 38.13/24.56 tff(10570,plain,
% 38.13/24.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))),
% 38.13/24.56 inference(quant_inst,[status(thm)],[])).
% 38.13/24.56 tff(10571,plain,
% 38.13/24.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88))),
% 38.13/24.56 inference(modus_ponens,[status(thm)],[10570, 10569])).
% 38.13/24.56 tff(10572,plain,
% 38.13/24.56 ((~v84(constB88, bitIndex0)) | (~v94(constB88))),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10571, 683, 10565])).
% 38.13/24.57 tff(10573,plain,
% 38.13/24.57 (~v84(constB88, bitIndex0)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10572, 10465])).
% 38.13/24.57 tff(10574,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10575,plain,
% 38.13/24.57 (((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0))) <=> (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10576,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0))))),
% 38.13/24.57 inference(monotonicity,[status(thm)],[10575])).
% 38.13/24.57 tff(10577,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 38.13/24.57 inference(transitivity,[status(thm)],[10576, 10574])).
% 38.13/24.57 tff(10578,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10579,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 38.13/24.57 tff(10580,plain,
% 38.13/24.57 (v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0))),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10579, 249, 10496])).
% 38.13/24.57 tff(10581,plain,
% 38.13/24.57 (v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0))),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10580, 10508])).
% 38.13/24.57 tff(10582,plain,
% 38.13/24.57 (~v84(constB89, bitIndex0)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10581, 10573])).
% 38.13/24.57 tff(10583,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10584,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10585,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89)),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 38.13/24.57 tff(10586,plain,
% 38.13/24.57 (v115(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10585, 1598, 10582, 10548, 10517])).
% 38.13/24.57 tff(10587,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB89) | (~v115(constB89)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10588,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB89) | (~v115(constB89)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10589,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB89) | (~v115(constB89))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 38.13/24.57 tff(10590,plain,
% 38.13/24.57 (v111(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10589, 1609, 10586])).
% 38.13/24.57 tff(10591,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB89) | (~v111(constB89)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB89) | (~v111(constB89)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10592,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB89) | (~v111(constB89)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10593,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB89) | (~v111(constB89))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10592, 10591])).
% 38.13/24.57 tff(10594,plain,
% 38.13/24.57 (v110(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10593, 303, 10590])).
% 38.13/24.57 tff(10595,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB89) | (~v110(constB89)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB89) | (~v110(constB89)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10596,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB89) | (~v110(constB89)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10597,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB89) | (~v110(constB89))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 38.13/24.57 tff(10598,plain,
% 38.13/24.57 (v109(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10597, 314, 10594])).
% 38.13/24.57 tff(10599,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB89) | (~v109(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB89) | (~v109(constB89)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10600,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB89) | (~v109(constB89)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10601,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB89) | (~v109(constB89))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10600, 10599])).
% 38.13/24.57 tff(10602,plain,
% 38.13/24.57 (v108(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10601, 325, 10598])).
% 38.13/24.57 tff(10603,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB89) | (~v108(constB89)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB89) | (~v108(constB89)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10604,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB89) | (~v108(constB89)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10605,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB89) | (~v108(constB89))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10604, 10603])).
% 38.13/24.57 tff(10606,plain,
% 38.13/24.57 (v107(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10605, 336, 10602])).
% 38.13/24.57 tff(10607,assumption,(v26(constB89)), introduced(assumption)).
% 38.13/24.57 tff(10608,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10609,plain,
% 38.13/24.57 ($false),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10608, 120, 10607])).
% 38.13/24.57 tff(10610,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 38.13/24.57 tff(10611,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | (~v107(constB89)) | v106(constB89))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10612,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10613,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | (~v107(constB89)) | v106(constB89)),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10612, 10611])).
% 38.13/24.57 tff(10614,plain,
% 38.13/24.57 ((~v107(constB89)) | v106(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10613, 350, 10610])).
% 38.13/24.57 tff(10615,plain,
% 38.13/24.57 (v106(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10614, 10606])).
% 38.13/24.57 tff(10616,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB89) | (~v106(constB89)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB89) | (~v106(constB89)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10617,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB89) | (~v106(constB89)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10618,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB89) | (~v106(constB89))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 38.13/24.57 tff(10619,plain,
% 38.13/24.57 (v102(constB89)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10618, 362, 10615])).
% 38.13/24.57 tff(10620,plain,
% 38.13/24.57 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10621,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 38.13/24.57 tff(10622,plain,
% 38.13/24.57 (nextState(constB89, constB90)),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10621, 10620])).
% 38.13/24.57 tff(10623,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10624,plain,
% 38.13/24.57 (((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10625,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))))),
% 38.13/24.57 inference(monotonicity,[status(thm)],[10624])).
% 38.13/24.57 tff(10626,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 38.13/24.57 inference(transitivity,[status(thm)],[10625, 10623])).
% 38.13/24.57 tff(10627,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10628,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10627, 10626])).
% 38.13/24.57 tff(10629,plain,
% 38.13/24.57 (v104(constB90) | (~v102(constB89))),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10628, 379, 10622])).
% 38.13/24.57 tff(10630,plain,
% 38.13/24.57 (v104(constB90)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10629, 10619])).
% 38.13/24.57 tff(10631,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10632,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10633,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10632, 10631])).
% 38.13/24.57 tff(10634,plain,
% 38.13/24.57 (~v98(constB90)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10633, 397, 10622, 10493])).
% 38.13/24.57 tff(10635,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10636,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10637,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90)),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10636, 10635])).
% 38.13/24.57 tff(10638,plain,
% 38.13/24.57 (v96(constB90) | v98(constB90)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10637, 411, 10622])).
% 38.13/24.57 tff(10639,plain,
% 38.13/24.57 (v96(constB90)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10638, 10634])).
% 38.13/24.57 tff(10640,plain,
% 38.13/24.57 (v1(constB90) <=> v1(constB90)),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10641,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 38.13/24.57 tff(10642,plain,
% 38.13/24.57 (v1(constB90)),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10641, 10640])).
% 38.13/24.57 tff(10643,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10644,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10645,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10644, 10643])).
% 38.13/24.57 tff(10646,plain,
% 38.13/24.57 (v95(constB90) | (~v96(constB90))),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10645, 429, 10622, 10642])).
% 38.13/24.57 tff(10647,plain,
% 38.13/24.57 (v95(constB90)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10646, 10639])).
% 38.13/24.57 tff(10648,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10649,plain,
% 38.13/24.57 (((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90)) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10650,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90))))),
% 38.13/24.57 inference(monotonicity,[status(thm)],[10649])).
% 38.13/24.57 tff(10651,plain,
% 38.13/24.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 38.13/24.57 inference(transitivity,[status(thm)],[10650, 10648])).
% 38.13/24.57 tff(10652,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10653,plain,
% 38.13/24.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90))),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10652, 10651])).
% 38.13/24.57 tff(10654,plain,
% 38.13/24.57 (v94(constB90) | (~v95(constB90)) | (~v104(constB90))),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10653, 444, 10622])).
% 38.13/24.57 tff(10655,plain,
% 38.13/24.57 (v94(constB90) | (~v104(constB90))),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10654, 10647])).
% 38.13/24.57 tff(10656,plain,
% 38.13/24.57 (v94(constB90)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10655, 10630])).
% 38.13/24.57 tff(10657,plain,
% 38.13/24.57 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB89)) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB89)) | v124(constB89, bitIndex0))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10658,plain,
% 38.13/24.57 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB89)) | v124(constB89, bitIndex0))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.57 tff(10659,plain,
% 38.13/24.57 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB89)) | v124(constB89, bitIndex0)),
% 38.13/24.57 inference(modus_ponens,[status(thm)],[10658, 10657])).
% 38.13/24.57 tff(10660,plain,
% 38.13/24.57 (v124(constB89, bitIndex0)),
% 38.13/24.57 inference(unit_resolution,[status(thm)],[10659, 1791, 10586])).
% 38.13/24.57 tff(10661,plain,
% 38.13/24.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 38.13/24.57 inference(rewrite,[status(thm)],[])).
% 38.13/24.57 tff(10662,plain,
% 38.13/24.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 38.13/24.57 inference(quant_inst,[status(thm)],[])).
% 38.13/24.58 tff(10663,plain,
% 38.13/24.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 38.13/24.58 inference(modus_ponens,[status(thm)],[10662, 10661])).
% 38.13/24.58 tff(10664,plain,
% 38.13/24.58 ((~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10663, 1289, 10610])).
% 38.13/24.58 tff(10665,plain,
% 38.13/24.58 (v121(constB89, bitIndex0)),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10664, 10660])).
% 38.13/24.58 tff(10666,plain,
% 38.13/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))),
% 38.13/24.58 inference(rewrite,[status(thm)],[])).
% 38.13/24.58 tff(10667,plain,
% 38.13/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))),
% 38.13/24.58 inference(quant_inst,[status(thm)],[])).
% 38.13/24.58 tff(10668,plain,
% 38.13/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0)),
% 38.13/24.58 inference(modus_ponens,[status(thm)],[10667, 10666])).
% 38.13/24.58 tff(10669,plain,
% 38.13/24.58 ((~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0)),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10668, 1304, 10622])).
% 38.13/24.58 tff(10670,plain,
% 38.13/24.58 (v123(constB90, bitIndex0)),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10669, 10665])).
% 38.13/24.58 tff(10671,plain,
% 38.13/24.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 38.13/24.58 inference(rewrite,[status(thm)],[])).
% 38.13/24.58 tff(10672,plain,
% 38.13/24.58 ((v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0))) <=> (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 38.13/24.58 inference(rewrite,[status(thm)],[])).
% 38.13/24.58 tff(10673,plain,
% 38.13/24.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90))))),
% 38.13/24.58 inference(monotonicity,[status(thm)],[10672])).
% 38.13/24.58 tff(10674,plain,
% 38.13/24.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 38.13/24.58 inference(transitivity,[status(thm)],[10673, 10671])).
% 38.13/24.58 tff(10675,plain,
% 38.13/24.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))),
% 38.13/24.58 inference(quant_inst,[status(thm)],[])).
% 38.13/24.58 tff(10676,plain,
% 38.13/24.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90))),
% 38.13/24.58 inference(modus_ponens,[status(thm)],[10675, 10674])).
% 38.13/24.58 tff(10677,plain,
% 38.13/24.58 (v84(constB90, bitIndex0) | (~v94(constB90))),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10676, 1319, 10670])).
% 38.13/24.58 tff(10678,plain,
% 38.13/24.58 (v84(constB90, bitIndex0)),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10677, 10656])).
% 38.13/24.58 tff(10679,plain,
% 38.13/24.58 ((~v1(constB91)) <=> (~v1(constB91))),
% 38.13/24.58 inference(rewrite,[status(thm)],[])).
% 38.13/24.58 tff(10680,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 38.13/24.58 tff(10681,plain,
% 38.13/24.58 (~v1(constB91)),
% 38.13/24.58 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 38.13/24.58 tff(10682,plain,
% 38.13/24.58 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 38.13/24.58 inference(rewrite,[status(thm)],[])).
% 38.13/24.58 tff(10683,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 38.13/24.58 tff(10684,plain,
% 38.13/24.58 (nextState(constB90, constB91)),
% 38.13/24.58 inference(modus_ponens,[status(thm)],[10683, 10682])).
% 38.13/24.58 tff(10685,plain,
% 38.13/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 38.13/24.58 inference(rewrite,[status(thm)],[])).
% 38.13/24.58 tff(10686,plain,
% 38.13/24.58 (((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 38.13/24.58 inference(rewrite,[status(thm)],[])).
% 38.13/24.58 tff(10687,plain,
% 38.13/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))))),
% 38.13/24.58 inference(monotonicity,[status(thm)],[10686])).
% 38.13/24.58 tff(10688,plain,
% 38.13/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 38.13/24.58 inference(transitivity,[status(thm)],[10687, 10685])).
% 38.13/24.58 tff(10689,plain,
% 38.13/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))),
% 38.13/24.58 inference(quant_inst,[status(thm)],[])).
% 38.13/24.58 tff(10690,plain,
% 38.13/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))),
% 38.13/24.58 inference(modus_ponens,[status(thm)],[10689, 10688])).
% 38.13/24.58 tff(10691,plain,
% 38.13/24.58 (~v95(constB91)),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10690, 175, 10684, 10681])).
% 38.13/24.58 tff(10692,plain,
% 38.13/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 38.13/24.58 inference(rewrite,[status(thm)],[])).
% 38.13/24.58 tff(10693,plain,
% 38.13/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 38.13/24.58 inference(quant_inst,[status(thm)],[])).
% 38.13/24.58 tff(10694,plain,
% 38.13/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91))),
% 38.13/24.58 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 38.13/24.58 tff(10695,plain,
% 38.13/24.58 (v95(constB91) | (~v94(constB91))),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10694, 192, 10684])).
% 38.13/24.58 tff(10696,plain,
% 38.13/24.58 (~v94(constB91)),
% 38.13/24.58 inference(unit_resolution,[status(thm)],[10695, 10691])).
% 38.13/24.58 tff(10697,plain,
% 38.13/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 38.19/24.58 inference(rewrite,[status(thm)],[])).
% 38.19/24.58 tff(10698,plain,
% 38.19/24.58 (((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0)) <=> ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 38.19/24.58 inference(rewrite,[status(thm)],[])).
% 38.19/24.58 tff(10699,plain,
% 38.19/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0)))),
% 38.19/24.58 inference(monotonicity,[status(thm)],[10698])).
% 38.19/24.58 tff(10700,plain,
% 38.19/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 38.19/24.58 inference(transitivity,[status(thm)],[10699, 10697])).
% 38.19/24.58 tff(10701,plain,
% 38.19/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))),
% 38.19/24.58 inference(quant_inst,[status(thm)],[])).
% 38.19/24.58 tff(10702,plain,
% 38.19/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0)),
% 38.19/24.58 inference(modus_ponens,[status(thm)],[10701, 10700])).
% 38.19/24.58 tff(10703,plain,
% 38.19/24.58 ((~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0)),
% 38.19/24.58 inference(unit_resolution,[status(thm)],[10702, 1337, 10684])).
% 38.19/24.58 tff(10704,plain,
% 38.19/24.58 ((~v84(constB90, bitIndex0)) | v84(constB91, bitIndex0)),
% 38.19/24.58 inference(unit_resolution,[status(thm)],[10703, 10696])).
% 38.19/24.58 tff(10705,plain,
% 38.19/24.58 (v84(constB91, bitIndex0)),
% 38.19/24.58 inference(unit_resolution,[status(thm)],[10704, 10678])).
% 38.19/24.58 tff(10706,plain,
% 38.19/24.58 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB89)) | v124(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB89)) | v124(constB89, bitIndex1))),
% 38.19/24.58 inference(rewrite,[status(thm)],[])).
% 38.19/24.58 tff(10707,plain,
% 38.19/24.58 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB89)) | v124(constB89, bitIndex1))),
% 38.19/24.58 inference(quant_inst,[status(thm)],[])).
% 38.19/24.58 tff(10708,plain,
% 38.19/24.58 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB89)) | v124(constB89, bitIndex1)),
% 38.19/24.58 inference(modus_ponens,[status(thm)],[10707, 10706])).
% 38.19/24.58 tff(10709,plain,
% 38.19/24.58 (v124(constB89, bitIndex1)),
% 38.19/24.58 inference(unit_resolution,[status(thm)],[10708, 1750, 10586])).
% 38.19/24.58 tff(10710,plain,
% 38.19/24.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))),
% 38.19/24.58 inference(rewrite,[status(thm)],[])).
% 38.19/24.58 tff(10711,plain,
% 38.19/24.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))),
% 38.19/24.58 inference(quant_inst,[status(thm)],[])).
% 38.19/24.58 tff(10712,plain,
% 38.19/24.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1)),
% 38.19/24.58 inference(modus_ponens,[status(thm)],[10711, 10710])).
% 38.19/24.58 tff(10713,plain,
% 38.19/24.58 ((~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1)),
% 38.19/24.58 inference(unit_resolution,[status(thm)],[10712, 875, 10610])).
% 38.19/24.58 tff(10714,plain,
% 38.19/24.58 (v121(constB89, bitIndex1)),
% 38.19/24.58 inference(unit_resolution,[status(thm)],[10713, 10709])).
% 38.19/24.58 tff(10715,plain,
% 38.19/24.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))),
% 38.19/24.58 inference(rewrite,[status(thm)],[])).
% 38.19/24.58 tff(10716,plain,
% 38.19/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))),
% 38.19/24.58 inference(quant_inst,[status(thm)],[])).
% 38.19/24.58 tff(10717,plain,
% 38.19/24.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1)),
% 38.19/24.58 inference(modus_ponens,[status(thm)],[10716, 10715])).
% 38.19/24.58 tff(10718,plain,
% 38.19/24.58 ((~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1)),
% 38.19/24.58 inference(unit_resolution,[status(thm)],[10717, 890, 10622])).
% 38.19/24.58 tff(10719,plain,
% 38.19/24.58 (v123(constB90, bitIndex1)),
% 38.19/24.58 inference(unit_resolution,[status(thm)],[10718, 10714])).
% 38.19/24.58 tff(10720,plain,
% 38.19/24.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 38.19/24.58 inference(rewrite,[status(thm)],[])).
% 38.19/24.58 tff(10721,plain,
% 38.19/24.58 ((v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1))) <=> (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 38.19/24.58 inference(rewrite,[status(thm)],[])).
% 38.19/24.58 tff(10722,plain,
% 38.19/24.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90))))),
% 38.19/24.58 inference(monotonicity,[status(thm)],[10721])).
% 38.19/24.58 tff(10723,plain,
% 38.19/24.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 38.19/24.58 inference(transitivity,[status(thm)],[10722, 10720])).
% 38.19/24.58 tff(10724,plain,
% 38.19/24.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))),
% 38.19/24.58 inference(quant_inst,[status(thm)],[])).
% 38.19/24.58 tff(10725,plain,
% 38.19/24.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90))),
% 38.19/24.58 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 38.19/24.59 tff(10726,plain,
% 38.19/24.59 (v84(constB90, bitIndex1) | (~v94(constB90))),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10725, 905, 10719])).
% 38.19/24.59 tff(10727,plain,
% 38.19/24.59 (v84(constB90, bitIndex1)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10726, 10656])).
% 38.19/24.59 tff(10728,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10729,plain,
% 38.19/24.59 (((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1)) <=> ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10730,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1)))),
% 38.19/24.59 inference(monotonicity,[status(thm)],[10729])).
% 38.19/24.59 tff(10731,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 38.19/24.59 inference(transitivity,[status(thm)],[10730, 10728])).
% 38.19/24.59 tff(10732,plain,
% 38.19/24.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))),
% 38.19/24.59 inference(quant_inst,[status(thm)],[])).
% 38.19/24.59 tff(10733,plain,
% 38.19/24.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1)),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10732, 10731])).
% 38.19/24.59 tff(10734,plain,
% 38.19/24.59 ((~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10733, 923, 10684])).
% 38.19/24.59 tff(10735,plain,
% 38.19/24.59 ((~v84(constB90, bitIndex1)) | v84(constB91, bitIndex1)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10734, 10696])).
% 38.19/24.59 tff(10736,plain,
% 38.19/24.59 (v84(constB91, bitIndex1)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10735, 10727])).
% 38.19/24.59 tff(10737,plain,
% 38.19/24.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v172(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v172(constB87)))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10738,plain,
% 38.19/24.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v172(constB87)))),
% 38.19/24.59 inference(quant_inst,[status(thm)],[])).
% 38.19/24.59 tff(10739,plain,
% 38.19/24.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v172(constB87))),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10738, 10737])).
% 38.19/24.59 tff(10740,plain,
% 38.19/24.59 (~v172(constB87)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10739, 5158, 10384])).
% 38.19/24.59 tff(10741,assumption,(~v84(constB89, bitIndex0)), introduced(assumption)).
% 38.19/24.59 tff(10742,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10743,plain,
% 38.19/24.59 (((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0)) <=> ((~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10744,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0)))),
% 38.19/24.59 inference(monotonicity,[status(thm)],[10743])).
% 38.19/24.59 tff(10745,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0))),
% 38.19/24.59 inference(transitivity,[status(thm)],[10744, 10742])).
% 38.19/24.59 tff(10746,plain,
% 38.19/24.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0))),
% 38.19/24.59 inference(quant_inst,[status(thm)],[])).
% 38.19/24.59 tff(10747,plain,
% 38.19/24.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0)),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10746, 10745])).
% 38.19/24.59 tff(10748,plain,
% 38.19/24.59 ((~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10747, 1337, 10496])).
% 38.19/24.59 tff(10749,plain,
% 38.19/24.59 ((~v84(constB88, bitIndex0)) | v84(constB89, bitIndex0)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10748, 10508])).
% 38.19/24.59 tff(10750,plain,
% 38.19/24.59 (~v84(constB88, bitIndex0)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10749, 10741])).
% 38.19/24.59 tff(10751,assumption,(~v172(constB87)), introduced(assumption)).
% 38.19/24.59 tff(10752,assumption,(~v84(constB87, bitIndex1)), introduced(assumption)).
% 38.19/24.59 tff(10753,assumption,(~v84(constB87, bitIndex0)), introduced(assumption)).
% 38.19/24.59 tff(10754,plain,
% 38.19/24.59 (~v84(constB86, bitIndex0)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10383, 10753])).
% 38.19/24.59 tff(10755,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10756,plain,
% 38.19/24.59 (((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1)) <=> ((~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10757,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1)))),
% 38.19/24.59 inference(monotonicity,[status(thm)],[10756])).
% 38.19/24.59 tff(10758,plain,
% 38.19/24.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1))),
% 38.19/24.59 inference(transitivity,[status(thm)],[10757, 10755])).
% 38.19/24.59 tff(10759,plain,
% 38.19/24.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1))),
% 38.19/24.59 inference(quant_inst,[status(thm)],[])).
% 38.19/24.59 tff(10760,plain,
% 38.19/24.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1)),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10759, 10758])).
% 38.19/24.59 tff(10761,plain,
% 38.19/24.59 ((~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10760, 923, 10292])).
% 38.19/24.59 tff(10762,plain,
% 38.19/24.59 ((~v84(constB86, bitIndex1)) | v84(constB87, bitIndex1)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10761, 10304])).
% 38.19/24.59 tff(10763,plain,
% 38.19/24.59 (~v84(constB86, bitIndex1)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10762, 10752])).
% 38.19/24.59 tff(10764,assumption,(~v102(constB85)), introduced(assumption)).
% 38.19/24.59 tff(10765,plain,
% 38.19/24.59 (~v106(constB85)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10196, 362, 10764])).
% 38.19/24.59 tff(10766,plain,
% 38.19/24.59 (~v107(constB85)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10192, 10765])).
% 38.19/24.59 tff(10767,plain,
% 38.19/24.59 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB85) | (~v108(constB85)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB85) | (~v108(constB85)))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10768,plain,
% 38.19/24.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB85) | (~v108(constB85)))),
% 38.19/24.59 inference(quant_inst,[status(thm)],[])).
% 38.19/24.59 tff(10769,plain,
% 38.19/24.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB85) | (~v108(constB85))),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10768, 10767])).
% 38.19/24.59 tff(10770,plain,
% 38.19/24.59 (~v108(constB85)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10769, 336, 10766])).
% 38.19/24.59 tff(10771,plain,
% 38.19/24.59 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v118(VarCurr))) <=> (v108(VarCurr) | (~v118(VarCurr))))),
% 38.19/24.59 inference(bind,[status(th)],[])).
% 38.19/24.59 tff(10772,plain,
% 38.19/24.59 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 38.19/24.59 inference(quant_intro,[status(thm)],[10771])).
% 38.19/24.59 tff(10773,plain,
% 38.19/24.59 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10774,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 38.19/24.59 tff(10775,plain,
% 38.19/24.59 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10774, 10773])).
% 38.19/24.59 tff(10776,plain,(
% 38.19/24.59 ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 38.19/24.59 inference(skolemize,[status(sab)],[10775])).
% 38.19/24.59 tff(10777,plain,
% 38.19/24.59 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10776, 10772])).
% 38.19/24.59 tff(10778,plain,
% 38.19/24.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB85) | (~v118(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB85) | (~v118(constB85)))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10779,plain,
% 38.19/24.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB85) | (~v118(constB85)))),
% 38.19/24.59 inference(quant_inst,[status(thm)],[])).
% 38.19/24.59 tff(10780,plain,
% 38.19/24.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB85) | (~v118(constB85))),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10779, 10778])).
% 38.19/24.59 tff(10781,plain,
% 38.19/24.59 (~v118(constB85)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10780, 10777, 10770])).
% 38.19/24.59 tff(10782,plain,
% 38.19/24.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB85) | (~v109(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB85) | (~v109(constB85)))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10783,plain,
% 38.19/24.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB85) | (~v109(constB85)))),
% 38.19/24.59 inference(quant_inst,[status(thm)],[])).
% 38.19/24.59 tff(10784,plain,
% 38.19/24.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB85) | (~v109(constB85))),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 38.19/24.59 tff(10785,plain,
% 38.19/24.59 (~v109(constB85)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10784, 325, 10770])).
% 38.19/24.59 tff(10786,plain,
% 38.19/24.59 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB85) | (~v172(constB85)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB85) | (~v172(constB85)))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10787,plain,
% 38.19/24.59 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB85) | (~v172(constB85)))),
% 38.19/24.59 inference(quant_inst,[status(thm)],[])).
% 38.19/24.59 tff(10788,plain,
% 38.19/24.59 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB85) | (~v172(constB85))),
% 38.19/24.59 inference(modus_ponens,[status(thm)],[10787, 10786])).
% 38.19/24.59 tff(10789,plain,
% 38.19/24.59 (~v172(constB85)),
% 38.19/24.59 inference(unit_resolution,[status(thm)],[10788, 764, 10785])).
% 38.19/24.59 tff(10790,assumption,(~v84(constB86, bitIndex1)), introduced(assumption)).
% 38.19/24.59 tff(10791,plain,
% 38.19/24.59 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))))),
% 38.19/24.59 inference(bind,[status(th)],[])).
% 38.19/24.59 tff(10792,plain,
% 38.19/24.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 38.19/24.59 inference(quant_intro,[status(thm)],[10791])).
% 38.19/24.59 tff(10793,plain,
% 38.19/24.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 38.19/24.59 inference(rewrite,[status(thm)],[])).
% 38.19/24.59 tff(10794,plain,
% 38.19/24.59 (^[VarNext: $i, VarCurr: $i] : rewrite(((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))))),
% 38.19/24.59 inference(bind,[status(th)],[])).
% 38.19/24.59 tff(10795,plain,
% 38.19/24.59 (![VarNext: $i, VarCurr: $i] : ((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 38.19/24.59 inference(quant_intro,[status(thm)],[10794])).
% 38.19/24.59 tff(10796,axiom,(![VarNext: $i, VarCurr: $i] : ((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 38.19/24.60 tff(10797,plain,
% 38.19/24.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10796, 10795])).
% 38.19/24.60 tff(10798,plain,
% 38.19/24.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10797, 10793])).
% 38.19/24.60 tff(10799,plain,(
% 38.19/24.60 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 38.19/24.60 inference(skolemize,[status(sab)],[10798])).
% 38.19/24.60 tff(10800,plain,
% 38.19/24.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10799, 10792])).
% 38.19/24.60 tff(10801,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10802,plain,
% 38.19/24.60 (((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86))) <=> ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10803,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85)))),
% 38.19/24.60 inference(monotonicity,[status(thm)],[10802])).
% 38.19/24.60 tff(10804,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 38.19/24.60 inference(transitivity,[status(thm)],[10803, 10801])).
% 38.19/24.60 tff(10805,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10806,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10805, 10804])).
% 38.19/24.60 tff(10807,plain,
% 38.19/24.60 ((~v104(constB86)) | v102(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10806, 10800, 10200])).
% 38.19/24.60 tff(10808,plain,
% 38.19/24.60 (~v104(constB86)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10807, 10764])).
% 38.19/24.60 tff(10809,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10810,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10811,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10810, 10809])).
% 38.19/24.60 tff(10812,plain,
% 38.19/24.60 (v104(constB86) | (~v94(constB86))),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10811, 5536, 10200])).
% 38.19/24.60 tff(10813,plain,
% 38.19/24.60 (~v94(constB86)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10812, 10808])).
% 38.19/24.60 tff(10814,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10815,plain,
% 38.19/24.60 (((~nextState(constB85, constB86)) | (~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1)) <=> ((~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10816,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1)))),
% 38.19/24.60 inference(monotonicity,[status(thm)],[10815])).
% 38.19/24.60 tff(10817,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1))),
% 38.19/24.60 inference(transitivity,[status(thm)],[10816, 10814])).
% 38.19/24.60 tff(10818,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10819,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 38.19/24.60 tff(10820,plain,
% 38.19/24.60 ((~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10819, 923, 10200])).
% 38.19/24.60 tff(10821,plain,
% 38.19/24.60 (~v84(constB85, bitIndex1)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10820, 10813, 10790])).
% 38.19/24.60 tff(10822,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB85) | (~v110(constB85)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB85) | (~v110(constB85)))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10823,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB85) | (~v110(constB85)))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10824,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB85) | (~v110(constB85))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 38.19/24.60 tff(10825,plain,
% 38.19/24.60 (~v110(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10824, 314, 10785])).
% 38.19/24.60 tff(10826,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB85) | (~v111(constB85)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB85) | (~v111(constB85)))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10827,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB85) | (~v111(constB85)))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10828,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB85) | (~v111(constB85))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10827, 10826])).
% 38.19/24.60 tff(10829,plain,
% 38.19/24.60 (~v111(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10828, 303, 10825])).
% 38.19/24.60 tff(10830,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB85) | (~v112(constB85)))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10831,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB85) | (~v112(constB85)))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10832,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB85) | (~v112(constB85))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10831, 10830])).
% 38.19/24.60 tff(10833,plain,
% 38.19/24.60 (~v112(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10832, 292, 10829])).
% 38.19/24.60 tff(10834,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB85) | (~v113(constB85)))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10835,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB85) | (~v113(constB85)))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10836,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB85) | (~v113(constB85))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10835, 10834])).
% 38.19/24.60 tff(10837,plain,
% 38.19/24.60 (~v113(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10836, 281, 10833])).
% 38.19/24.60 tff(10838,assumption,(~v113(constB85)), introduced(assumption)).
% 38.19/24.60 tff(10839,assumption,(~v84(constB85, bitIndex0)), introduced(assumption)).
% 38.19/24.60 tff(10840,assumption,(~v172(constB85)), introduced(assumption)).
% 38.19/24.60 tff(10841,assumption,(~v84(constB85, bitIndex1)), introduced(assumption)).
% 38.19/24.60 tff(10842,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10843,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10844,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10843, 10842])).
% 38.19/24.60 tff(10845,plain,
% 38.19/24.60 (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex2)) | v172(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10844, 710, 10841])).
% 38.19/24.60 tff(10846,plain,
% 38.19/24.60 (~v84(constB85, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10845, 10839, 10840])).
% 38.19/24.60 tff(10847,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10848,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10849,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 38.19/24.60 tff(10850,plain,
% 38.19/24.60 (v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10849, 270, 10841])).
% 38.19/24.60 tff(10851,plain,
% 38.19/24.60 ($false),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10850, 10846, 10839, 10838])).
% 38.19/24.60 tff(10852,plain,(v84(constB85, bitIndex0) | v113(constB85) | v84(constB85, bitIndex1) | v172(constB85)), inference(lemma,lemma(discharge,[]))).
% 38.19/24.60 tff(10853,plain,
% 38.19/24.60 (v84(constB85, bitIndex0)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10852, 10837, 10821, 10789])).
% 38.19/24.60 tff(10854,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB85) | (~v145(constB85)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB85) | (~v145(constB85)))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10855,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB85) | (~v145(constB85)))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10856,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB85) | (~v145(constB85))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 38.19/24.60 tff(10857,plain,
% 38.19/24.60 (~v145(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10856, 1367, 10833])).
% 38.19/24.60 tff(10858,plain,
% 38.19/24.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10859,plain,
% 38.19/24.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10860,plain,
% 38.19/24.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 38.19/24.60 tff(10861,plain,
% 38.19/24.60 ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | v145(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10860, 1356, 10821])).
% 38.19/24.60 tff(10862,plain,
% 38.19/24.60 (v84(constB85, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10861, 10853, 10857])).
% 38.19/24.60 tff(10863,plain,
% 38.19/24.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10864,plain,
% 38.19/24.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10865,plain,
% 38.19/24.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10864, 10863])).
% 38.19/24.60 tff(10866,plain,
% 38.19/24.60 ((~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex2)) | v118(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10865, 6841, 10821])).
% 38.19/24.60 tff(10867,plain,
% 38.19/24.60 ($false),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10866, 10862, 10853, 10781])).
% 38.19/24.60 tff(10868,plain,(v102(constB85) | v84(constB86, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 38.19/24.60 tff(10869,plain,
% 38.19/24.60 (v102(constB85)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10868, 10763])).
% 38.19/24.60 tff(10870,plain,
% 38.19/24.60 (v104(constB86)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10207, 10869])).
% 38.19/24.60 tff(10871,plain,
% 38.19/24.60 (v94(constB86)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10233, 10870])).
% 38.19/24.60 tff(10872,plain,
% 38.19/24.60 (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0))),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10373, 1319, 10871])).
% 38.19/24.60 tff(10873,plain,
% 38.19/24.60 (~v123(constB86, bitIndex0)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10872, 10754])).
% 38.19/24.60 tff(10874,plain,
% 38.19/24.60 (~v121(constB85, bitIndex0)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10366, 10873])).
% 38.19/24.60 tff(10875,plain,
% 38.19/24.60 (~v124(constB85, bitIndex0)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10361, 10874])).
% 38.19/24.60 tff(10876,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10877,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10878,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10877, 10876])).
% 38.19/24.60 tff(10879,plain,
% 38.19/24.60 (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2))),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10878, 710, 10751])).
% 38.19/24.60 tff(10880,plain,
% 38.19/24.60 (~v84(constB87, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10879, 10753, 10752])).
% 38.19/24.60 tff(10881,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10882,plain,
% 38.19/24.60 (((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2)) <=> ((~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10883,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2)))),
% 38.19/24.60 inference(monotonicity,[status(thm)],[10882])).
% 38.19/24.60 tff(10884,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2))),
% 38.19/24.60 inference(transitivity,[status(thm)],[10883, 10881])).
% 38.19/24.60 tff(10885,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10886,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10885, 10884])).
% 38.19/24.60 tff(10887,plain,
% 38.19/24.60 ((~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10886, 543, 10292])).
% 38.19/24.60 tff(10888,plain,
% 38.19/24.60 ((~v84(constB86, bitIndex2)) | v84(constB87, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10887, 10304])).
% 38.19/24.60 tff(10889,plain,
% 38.19/24.60 (~v84(constB86, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10888, 10880])).
% 38.19/24.60 tff(10890,plain,
% 38.19/24.60 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86)))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10891,plain,
% 38.19/24.60 ((v84(constB86, bitIndex2) | (~v94(constB86)) | (~v123(constB86, bitIndex2))) <=> (v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86)))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10892,plain,
% 38.19/24.60 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v94(constB86)) | (~v123(constB86, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86))))),
% 38.19/24.60 inference(monotonicity,[status(thm)],[10891])).
% 38.19/24.60 tff(10893,plain,
% 38.19/24.60 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v94(constB86)) | (~v123(constB86, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86)))),
% 38.19/24.60 inference(transitivity,[status(thm)],[10892, 10890])).
% 38.19/24.60 tff(10894,plain,
% 38.19/24.60 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v94(constB86)) | (~v123(constB86, bitIndex2)))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10895,plain,
% 38.19/24.60 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86))),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10894, 10893])).
% 38.19/24.60 tff(10896,plain,
% 38.19/24.60 (v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2))),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10895, 507, 10871])).
% 38.19/24.60 tff(10897,plain,
% 38.19/24.60 (~v123(constB86, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10896, 10889])).
% 38.19/24.60 tff(10898,plain,
% 38.19/24.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10899,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10900,plain,
% 38.19/24.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10899, 10898])).
% 38.19/24.60 tff(10901,plain,
% 38.19/24.60 ((~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10900, 492, 10200])).
% 38.19/24.60 tff(10902,plain,
% 38.19/24.60 (~v121(constB85, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10901, 10897])).
% 38.19/24.60 tff(10903,plain,
% 38.19/24.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB85) | (~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB85) | (~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2))),
% 38.19/24.60 inference(rewrite,[status(thm)],[])).
% 38.19/24.60 tff(10904,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB85) | (~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2))),
% 38.19/24.60 inference(quant_inst,[status(thm)],[])).
% 38.19/24.60 tff(10905,plain,
% 38.19/24.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB85) | (~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2)),
% 38.19/24.60 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 38.19/24.60 tff(10906,plain,
% 38.19/24.60 ((~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2)),
% 38.19/24.60 inference(unit_resolution,[status(thm)],[10905, 477, 10188])).
% 38.19/24.61 tff(10907,plain,
% 38.19/24.61 (~v124(constB85, bitIndex2)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10906, 10902])).
% 38.19/24.61 tff(10908,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB85)) | v124(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB85)) | v124(constB85, bitIndex2))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10909,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB85)) | v124(constB85, bitIndex2))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10910,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB85)) | v124(constB85, bitIndex2)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10909, 10908])).
% 38.19/24.61 tff(10911,plain,
% 38.19/24.61 (~v116(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10910, 1918, 10907])).
% 38.19/24.61 tff(10912,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB85)) | v124(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB85)) | v124(constB85, bitIndex2))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10913,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v113(constB85)) | v124(constB85, bitIndex2))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10914,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v113(constB85)) | v124(constB85, bitIndex2)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10913, 10912])).
% 38.19/24.61 tff(10915,plain,
% 38.19/24.61 (~v113(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10914, 463, 10907])).
% 38.19/24.61 tff(10916,plain,
% 38.19/24.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10917,plain,
% 38.19/24.61 ((v84(constB86, bitIndex1) | (~v94(constB86)) | (~v123(constB86, bitIndex1))) <=> (v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10918,plain,
% 38.19/24.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v94(constB86)) | (~v123(constB86, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86))))),
% 38.19/24.61 inference(monotonicity,[status(thm)],[10917])).
% 38.19/24.61 tff(10919,plain,
% 38.19/24.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v94(constB86)) | (~v123(constB86, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86)))),
% 38.19/24.61 inference(transitivity,[status(thm)],[10918, 10916])).
% 38.19/24.61 tff(10920,plain,
% 38.19/24.61 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v94(constB86)) | (~v123(constB86, bitIndex1)))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10921,plain,
% 38.19/24.61 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 38.19/24.61 tff(10922,plain,
% 38.19/24.61 (~v123(constB86, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10921, 905, 10871, 10763])).
% 38.19/24.61 tff(10923,plain,
% 38.19/24.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10924,plain,
% 38.19/24.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10925,plain,
% 38.19/24.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 38.19/24.61 tff(10926,plain,
% 38.19/24.61 ((~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10925, 890, 10200])).
% 38.19/24.61 tff(10927,plain,
% 38.19/24.61 (~v121(constB85, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10926, 10922])).
% 38.19/24.61 tff(10928,plain,
% 38.19/24.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB85) | (~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB85) | (~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10929,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB85) | (~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10930,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB85) | (~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10929, 10928])).
% 38.19/24.61 tff(10931,plain,
% 38.19/24.61 ((~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10930, 875, 10188])).
% 38.19/24.61 tff(10932,plain,
% 38.19/24.61 (~v124(constB85, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10931, 10927])).
% 38.19/24.61 tff(10933,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB85)) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB85)) | v124(constB85, bitIndex1))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10934,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB85)) | v124(constB85, bitIndex1))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10935,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB85)) | v124(constB85, bitIndex1)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10934, 10933])).
% 38.19/24.61 tff(10936,plain,
% 38.19/24.61 (~v118(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10935, 7187, 10932])).
% 38.19/24.61 tff(10937,plain,
% 38.19/24.61 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> (v84(VarCurr, bitIndex1) | (~v116(VarCurr))))),
% 38.19/24.61 inference(bind,[status(th)],[])).
% 38.19/24.61 tff(10938,plain,
% 38.19/24.61 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 38.19/24.61 inference(quant_intro,[status(thm)],[10937])).
% 38.19/24.61 tff(10939,plain,
% 38.19/24.61 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10940,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 38.19/24.61 tff(10941,plain,
% 38.19/24.61 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10940, 10939])).
% 38.19/24.61 tff(10942,plain,(
% 38.19/24.61 ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 38.19/24.61 inference(skolemize,[status(sab)],[10941])).
% 38.19/24.61 tff(10943,plain,
% 38.19/24.61 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10942, 10938])).
% 38.19/24.61 tff(10944,plain,
% 38.19/24.61 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB87, bitIndex1) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB87, bitIndex1) | (~v116(constB87)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10945,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB87, bitIndex1) | (~v116(constB87)))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10946,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB87, bitIndex1) | (~v116(constB87))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10945, 10944])).
% 38.19/24.61 tff(10947,plain,
% 38.19/24.61 (~v116(constB87)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10946, 10943, 10752])).
% 38.19/24.61 tff(10948,assumption,(v115(constB85)), introduced(assumption)).
% 38.19/24.61 tff(10949,plain,
% 38.19/24.61 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB85) | (~v115(constB85)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB85) | (~v115(constB85)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10950,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB85) | (~v115(constB85)))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10951,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB85) | (~v115(constB85))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10950, 10949])).
% 38.19/24.61 tff(10952,plain,
% 38.19/24.61 (v111(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10951, 1609, 10948])).
% 38.19/24.61 tff(10953,plain,
% 38.19/24.61 (v110(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10828, 303, 10952])).
% 38.19/24.61 tff(10954,plain,
% 38.19/24.61 (v109(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10824, 314, 10953])).
% 38.19/24.61 tff(10955,plain,
% 38.19/24.61 (v108(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10784, 325, 10954])).
% 38.19/24.61 tff(10956,plain,
% 38.19/24.61 (v107(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10769, 336, 10955])).
% 38.19/24.61 tff(10957,plain,
% 38.19/24.61 (v106(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10192, 10956])).
% 38.19/24.61 tff(10958,plain,
% 38.19/24.61 (v102(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10196, 362, 10957])).
% 38.19/24.61 tff(10959,plain,
% 38.19/24.61 (v104(constB86)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10207, 10958])).
% 38.19/24.61 tff(10960,plain,
% 38.19/24.61 (v94(constB86)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10233, 10959])).
% 38.19/24.61 tff(10961,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB85)) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB85)) | (~v124(constB85, bitIndex2)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10962,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB85)) | (~v124(constB85, bitIndex2)))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10963,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB85)) | (~v124(constB85, bitIndex2))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10962, 10961])).
% 38.19/24.61 tff(10964,plain,
% 38.19/24.61 (~v124(constB85, bitIndex2)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10963, 1688, 10948])).
% 38.19/24.61 tff(10965,plain,
% 38.19/24.61 (~v121(constB85, bitIndex2)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10272, 10964])).
% 38.19/24.61 tff(10966,plain,
% 38.19/24.61 (~v123(constB86, bitIndex2)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10277, 10965])).
% 38.19/24.61 tff(10967,plain,
% 38.19/24.61 ((~v84(constB86, bitIndex2)) | (~v94(constB86))),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10284, 1180, 10966])).
% 38.19/24.61 tff(10968,plain,
% 38.19/24.61 (~v84(constB86, bitIndex2)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10967, 10960])).
% 38.19/24.61 tff(10969,plain,
% 38.19/24.61 (~v84(constB87, bitIndex2)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10312, 10968])).
% 38.19/24.61 tff(10970,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB85)) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB85)) | v124(constB85, bitIndex0))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10971,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB85)) | v124(constB85, bitIndex0))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10972,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB85)) | v124(constB85, bitIndex0)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 38.19/24.61 tff(10973,plain,
% 38.19/24.61 (v124(constB85, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10972, 1791, 10948])).
% 38.19/24.61 tff(10974,plain,
% 38.19/24.61 (v121(constB85, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10361, 10973])).
% 38.19/24.61 tff(10975,plain,
% 38.19/24.61 (v123(constB86, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10366, 10974])).
% 38.19/24.61 tff(10976,plain,
% 38.19/24.61 (v84(constB86, bitIndex0) | (~v94(constB86))),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10373, 1319, 10975])).
% 38.19/24.61 tff(10977,plain,
% 38.19/24.61 (v84(constB86, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10976, 10960])).
% 38.19/24.61 tff(10978,plain,
% 38.19/24.61 (v84(constB87, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10383, 10977])).
% 38.19/24.61 tff(10979,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB85)) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB85)) | v124(constB85, bitIndex1))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10980,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB85)) | v124(constB85, bitIndex1))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10981,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB85)) | v124(constB85, bitIndex1)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10980, 10979])).
% 38.19/24.61 tff(10982,plain,
% 38.19/24.61 (v124(constB85, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10981, 1750, 10948])).
% 38.19/24.61 tff(10983,plain,
% 38.19/24.61 (v121(constB85, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10931, 10982])).
% 38.19/24.61 tff(10984,plain,
% 38.19/24.61 (v123(constB86, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10926, 10983])).
% 38.19/24.61 tff(10985,plain,
% 38.19/24.61 (v84(constB86, bitIndex1) | (~v94(constB86))),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10921, 905, 10984])).
% 38.19/24.61 tff(10986,plain,
% 38.19/24.61 (v84(constB86, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10985, 10960])).
% 38.19/24.61 tff(10987,plain,
% 38.19/24.61 (v84(constB87, bitIndex1)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10762, 10986])).
% 38.19/24.61 tff(10988,assumption,(~v116(constB87)), introduced(assumption)).
% 38.19/24.61 tff(10989,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v116(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v116(constB87))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10990,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v116(constB87))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10991,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v116(constB87)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10990, 10989])).
% 38.19/24.61 tff(10992,plain,
% 38.19/24.61 ((~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10991, 1832, 10988])).
% 38.19/24.61 tff(10993,plain,
% 38.19/24.61 ($false),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10992, 10987, 10978, 10969])).
% 38.19/24.61 tff(10994,plain,((~v115(constB85)) | v116(constB87)), inference(lemma,lemma(discharge,[]))).
% 38.19/24.61 tff(10995,plain,
% 38.19/24.61 (~v115(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10994, 10947])).
% 38.19/24.61 tff(10996,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB85)) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB85)) | v124(constB85, bitIndex1))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(10997,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB85)) | v124(constB85, bitIndex1))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(10998,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB85)) | v124(constB85, bitIndex1)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[10997, 10996])).
% 38.19/24.61 tff(10999,plain,
% 38.19/24.61 (~v172(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10998, 861, 10932])).
% 38.19/24.61 tff(11000,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB85)) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB85)) | v124(constB85, bitIndex1))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11001,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB85)) | v124(constB85, bitIndex1))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(11002,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB85)) | v124(constB85, bitIndex1)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11001, 11000])).
% 38.19/24.61 tff(11003,plain,
% 38.19/24.61 (~v145(constB85)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11002, 1513, 10932])).
% 38.19/24.61 tff(11004,plain,
% 38.19/24.61 (v113(constB85) | v116(constB85) | v124(constB85, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[10356, 1272, 11003, 10999, 10995, 10936])).
% 38.19/24.61 tff(11005,plain,
% 38.19/24.61 ($false),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11004, 10915, 10911, 10875])).
% 38.19/24.61 tff(11006,plain,(v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v172(constB87)), inference(lemma,lemma(discharge,[]))).
% 38.19/24.61 tff(11007,plain,
% 38.19/24.61 (v84(constB87, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11006, 10752, 10751])).
% 38.19/24.61 tff(11008,plain,
% 38.19/24.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11009,plain,
% 38.19/24.61 (((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0)) <=> ((~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11010,plain,
% 38.19/24.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0)))),
% 38.19/24.61 inference(monotonicity,[status(thm)],[11009])).
% 38.19/24.61 tff(11011,plain,
% 38.19/24.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0))),
% 38.19/24.61 inference(transitivity,[status(thm)],[11010, 11008])).
% 38.19/24.61 tff(11012,plain,
% 38.19/24.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(11013,plain,
% 38.19/24.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11012, 11011])).
% 38.19/24.61 tff(11014,plain,
% 38.19/24.61 ((~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11013, 1337, 10431])).
% 38.19/24.61 tff(11015,plain,
% 38.19/24.61 (v94(constB88)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11014, 11007, 10750])).
% 38.19/24.61 tff(11016,plain,
% 38.19/24.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11017,plain,
% 38.19/24.61 ((v84(constB88, bitIndex0) | (~v94(constB88)) | (~v123(constB88, bitIndex0))) <=> (v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11018,plain,
% 38.19/24.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v94(constB88)) | (~v123(constB88, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88))))),
% 38.19/24.61 inference(monotonicity,[status(thm)],[11017])).
% 38.19/24.61 tff(11019,plain,
% 38.19/24.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v94(constB88)) | (~v123(constB88, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88)))),
% 38.19/24.61 inference(transitivity,[status(thm)],[11018, 11016])).
% 38.19/24.61 tff(11020,plain,
% 38.19/24.61 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v94(constB88)) | (~v123(constB88, bitIndex0)))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(11021,plain,
% 38.19/24.61 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11020, 11019])).
% 38.19/24.61 tff(11022,plain,
% 38.19/24.61 ((~v123(constB88, bitIndex0)) | (~v94(constB88))),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11021, 1319, 10750])).
% 38.19/24.61 tff(11023,plain,
% 38.19/24.61 (~v123(constB88, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11022, 11015])).
% 38.19/24.61 tff(11024,plain,
% 38.19/24.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11025,plain,
% 38.19/24.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(11026,plain,
% 38.19/24.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11025, 11024])).
% 38.19/24.61 tff(11027,plain,
% 38.19/24.61 ((~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11026, 1304, 10431])).
% 38.19/24.61 tff(11028,plain,
% 38.19/24.61 (~v121(constB87, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11027, 11023])).
% 38.19/24.61 tff(11029,plain,
% 38.19/24.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB87) | (~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB87) | (~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11030,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB87) | (~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(11031,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB87) | (~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11030, 11029])).
% 38.19/24.61 tff(11032,plain,
% 38.19/24.61 ((~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11031, 1289, 10416])).
% 38.19/24.61 tff(11033,plain,
% 38.19/24.61 (~v124(constB87, bitIndex0)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11032, 11028])).
% 38.19/24.61 tff(11034,plain,
% 38.19/24.61 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> (v84(VarCurr, bitIndex1) | (~v115(VarCurr))))),
% 38.19/24.61 inference(bind,[status(th)],[])).
% 38.19/24.61 tff(11035,plain,
% 38.19/24.61 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 38.19/24.61 inference(quant_intro,[status(thm)],[11034])).
% 38.19/24.61 tff(11036,plain,
% 38.19/24.61 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11037,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 38.19/24.61 tff(11038,plain,
% 38.19/24.61 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 38.19/24.61 tff(11039,plain,(
% 38.19/24.61 ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 38.19/24.61 inference(skolemize,[status(sab)],[11038])).
% 38.19/24.61 tff(11040,plain,
% 38.19/24.61 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11039, 11035])).
% 38.19/24.61 tff(11041,plain,
% 38.19/24.61 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB87, bitIndex1) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB87, bitIndex1) | (~v115(constB87)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11042,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB87, bitIndex1) | (~v115(constB87)))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(11043,plain,
% 38.19/24.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB87, bitIndex1) | (~v115(constB87))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11042, 11041])).
% 38.19/24.61 tff(11044,plain,
% 38.19/24.61 (~v115(constB87)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11043, 11040, 10752])).
% 38.19/24.61 tff(11045,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB87)) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB87)) | v124(constB87, bitIndex0))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11046,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v118(constB87)) | v124(constB87, bitIndex0))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(11047,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v118(constB87)) | v124(constB87, bitIndex0)),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11046, 11045])).
% 38.19/24.61 tff(11048,plain,
% 38.19/24.61 (~v118(constB87)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11047, 8572, 11033])).
% 38.19/24.61 tff(11049,plain,
% 38.19/24.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v113(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v113(constB87)))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11050,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v113(constB87)))),
% 38.19/24.61 inference(quant_inst,[status(thm)],[])).
% 38.19/24.61 tff(11051,plain,
% 38.19/24.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v113(constB87))),
% 38.19/24.61 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 38.19/24.61 tff(11052,plain,
% 38.19/24.61 (~v113(constB87)),
% 38.19/24.61 inference(unit_resolution,[status(thm)],[11051, 8531, 11007])).
% 38.19/24.61 tff(11053,plain,
% 38.19/24.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB87, bitIndex0) | v118(constB87) | v172(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | v116(constB87))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB87, bitIndex0) | v118(constB87) | v172(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | v116(constB87))),
% 38.19/24.61 inference(rewrite,[status(thm)],[])).
% 38.19/24.61 tff(11054,plain,
% 38.19/24.61 ((v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | v124(constB87, bitIndex0)) <=> (v124(constB87, bitIndex0) | v118(constB87) | v172(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | v116(constB87))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11055,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB87, bitIndex0) | v118(constB87) | v172(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | v116(constB87)))),
% 38.19/24.62 inference(monotonicity,[status(thm)],[11054])).
% 38.19/24.62 tff(11056,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB87, bitIndex0) | v118(constB87) | v172(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | v116(constB87))),
% 38.19/24.62 inference(transitivity,[status(thm)],[11055, 11053])).
% 38.19/24.62 tff(11057,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | v124(constB87, bitIndex0))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11058,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB87, bitIndex0) | v118(constB87) | v172(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | v116(constB87)),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11057, 11056])).
% 38.19/24.62 tff(11059,plain,
% 38.19/24.62 (v124(constB87, bitIndex0) | v118(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | v116(constB87)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11058, 1272, 10751])).
% 38.19/24.62 tff(11060,plain,
% 38.19/24.62 (v145(constB87)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11059, 11052, 10947, 11048, 11044, 11033])).
% 38.19/24.62 tff(11061,plain,
% 38.19/24.62 (v124(constB87, bitIndex1)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10520, 1513, 11060])).
% 38.19/24.62 tff(11062,plain,
% 38.19/24.62 (v121(constB87, bitIndex1)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10525, 11061])).
% 38.19/24.62 tff(11063,plain,
% 38.19/24.62 (v123(constB88, bitIndex1)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10530, 11062])).
% 38.19/24.62 tff(11064,plain,
% 38.19/24.62 (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1))),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10537, 905, 11015])).
% 38.19/24.62 tff(11065,plain,
% 38.19/24.62 (v84(constB88, bitIndex1)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11064, 11063])).
% 38.19/24.62 tff(11066,plain,
% 38.19/24.62 (v84(constB89, bitIndex1)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10547, 11065])).
% 38.19/24.62 tff(11067,plain,
% 38.19/24.62 (~v124(constB87, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10468, 1451, 11060])).
% 38.19/24.62 tff(11068,plain,
% 38.19/24.62 (~v121(constB87, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10476, 11067])).
% 38.19/24.62 tff(11069,plain,
% 38.19/24.62 (~v123(constB88, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10481, 11068])).
% 38.19/24.62 tff(11070,plain,
% 38.19/24.62 ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10488, 1180, 11015])).
% 38.19/24.62 tff(11071,plain,
% 38.19/24.62 (~v84(constB88, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11070, 11069])).
% 38.19/24.62 tff(11072,plain,
% 38.19/24.62 (~v84(constB89, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10516, 11071])).
% 38.19/24.62 tff(11073,plain,
% 38.19/24.62 ((~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[10585, 1598, 10741])).
% 38.19/24.62 tff(11074,plain,
% 38.19/24.62 (v115(constB89)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11073, 11072, 11066])).
% 38.19/24.62 tff(11075,assumption,(v84(constB90, bitIndex2)), introduced(assumption)).
% 38.19/24.62 tff(11076,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v94(constB90) | (~v84(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v94(constB90) | (~v84(constB90, bitIndex2)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11077,plain,
% 38.19/24.62 (((~nextState(constB89, constB90)) | v84(constB89, bitIndex2) | v94(constB90) | (~v84(constB90, bitIndex2))) <=> (v84(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v94(constB90) | (~v84(constB90, bitIndex2)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11078,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v84(constB89, bitIndex2) | v94(constB90) | (~v84(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v94(constB90) | (~v84(constB90, bitIndex2))))),
% 38.19/24.62 inference(monotonicity,[status(thm)],[11077])).
% 38.19/24.62 tff(11079,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v84(constB89, bitIndex2) | v94(constB90) | (~v84(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v94(constB90) | (~v84(constB90, bitIndex2)))),
% 38.19/24.62 inference(transitivity,[status(thm)],[11078, 11076])).
% 38.19/24.62 tff(11080,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v84(constB89, bitIndex2) | v94(constB90) | (~v84(constB90, bitIndex2)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11081,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v94(constB90) | (~v84(constB90, bitIndex2))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11080, 11079])).
% 38.19/24.62 tff(11082,plain,
% 38.19/24.62 (v84(constB89, bitIndex2) | v94(constB90) | (~v84(constB90, bitIndex2))),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11081, 207, 10622])).
% 38.19/24.62 tff(11083,plain,
% 38.19/24.62 (v94(constB90)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11082, 11072, 11075])).
% 38.19/24.62 tff(11084,plain,
% 38.19/24.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11085,plain,
% 38.19/24.62 (((~v84(constB90, bitIndex2)) | (~v94(constB90)) | v123(constB90, bitIndex2)) <=> ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11086,plain,
% 38.19/24.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | (~v94(constB90)) | v123(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90))))),
% 38.19/24.62 inference(monotonicity,[status(thm)],[11085])).
% 38.19/24.62 tff(11087,plain,
% 38.19/24.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | (~v94(constB90)) | v123(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 38.19/24.62 inference(transitivity,[status(thm)],[11086, 11084])).
% 38.19/24.62 tff(11088,plain,
% 38.19/24.62 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | (~v94(constB90)) | v123(constB90, bitIndex2))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11089,plain,
% 38.19/24.62 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11088, 11087])).
% 38.19/24.62 tff(11090,plain,
% 38.19/24.62 (v123(constB90, bitIndex2) | (~v94(constB90))),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11089, 1180, 11075])).
% 38.19/24.62 tff(11091,plain,
% 38.19/24.62 (v123(constB90, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11090, 11083])).
% 38.19/24.62 tff(11092,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11093,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11094,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 38.19/24.62 tff(11095,plain,
% 38.19/24.62 (v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2))),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11094, 1165, 10622])).
% 38.19/24.62 tff(11096,plain,
% 38.19/24.62 (v121(constB89, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11095, 11091])).
% 38.19/24.62 tff(11097,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11098,plain,
% 38.19/24.62 ((v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2))) <=> ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11099,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2)))),
% 38.19/24.62 inference(monotonicity,[status(thm)],[11098])).
% 38.19/24.62 tff(11100,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 38.19/24.62 inference(transitivity,[status(thm)],[11099, 11097])).
% 38.19/24.62 tff(11101,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11102,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2)),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11101, 11100])).
% 38.19/24.62 tff(11103,plain,
% 38.19/24.62 ((~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11102, 1147, 10610])).
% 38.19/24.62 tff(11104,plain,
% 38.19/24.62 (v124(constB89, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11103, 11096])).
% 38.19/24.62 tff(11105,plain,
% 38.19/24.62 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB89)) | (~v124(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11106,plain,
% 38.19/24.62 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11107,plain,
% 38.19/24.62 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB89)) | (~v124(constB89, bitIndex2))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11106, 11105])).
% 38.19/24.62 tff(11108,plain,
% 38.19/24.62 ($false),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11107, 1688, 11104, 11074])).
% 38.19/24.62 tff(11109,plain,(v84(constB87, bitIndex1) | (~v84(constB90, bitIndex2)) | v84(constB89, bitIndex0) | v172(constB87)), inference(lemma,lemma(discharge,[]))).
% 38.19/24.62 tff(11110,plain,
% 38.19/24.62 (~v84(constB90, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11109, 10582, 10350, 10740])).
% 38.19/24.62 tff(11111,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11112,plain,
% 38.19/24.62 (((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2))) <=> (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11113,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2))))),
% 38.19/24.62 inference(monotonicity,[status(thm)],[11112])).
% 38.19/24.62 tff(11114,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 38.19/24.62 inference(transitivity,[status(thm)],[11113, 11111])).
% 38.19/24.62 tff(11115,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11116,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11115, 11114])).
% 38.19/24.62 tff(11117,plain,
% 38.19/24.62 (v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2))),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11116, 207, 10684])).
% 38.19/24.62 tff(11118,plain,
% 38.19/24.62 (v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2))),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11117, 10696])).
% 38.19/24.62 tff(11119,plain,
% 38.19/24.62 (~v84(constB91, bitIndex2)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11118, 11110])).
% 38.19/24.62 tff(11120,plain,
% 38.19/24.62 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11121,plain,
% 38.19/24.62 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11122,plain,
% 38.19/24.62 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91)),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 38.19/24.62 tff(11123,plain,
% 38.19/24.62 ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v116(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11122, 1832, 11119])).
% 38.19/24.62 tff(11124,plain,
% 38.19/24.62 (v116(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11123, 10736, 10705])).
% 38.19/24.62 tff(11125,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB91) | (~v116(constB91)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11126,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB91) | (~v116(constB91)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11127,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB91) | (~v116(constB91))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11126, 11125])).
% 38.19/24.62 tff(11128,plain,
% 38.19/24.62 (v110(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11127, 1843, 11124])).
% 38.19/24.62 tff(11129,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB91) | (~v110(constB91)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB91) | (~v110(constB91)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11130,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB91) | (~v110(constB91)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11131,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB91) | (~v110(constB91))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11130, 11129])).
% 38.19/24.62 tff(11132,plain,
% 38.19/24.62 (v109(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11131, 314, 11128])).
% 38.19/24.62 tff(11133,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB91) | (~v109(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB91) | (~v109(constB91)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11134,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB91) | (~v109(constB91)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11135,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB91) | (~v109(constB91))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 38.19/24.62 tff(11136,plain,
% 38.19/24.62 (v108(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11135, 325, 11132])).
% 38.19/24.62 tff(11137,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB91) | (~v108(constB91)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB91) | (~v108(constB91)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11138,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB91) | (~v108(constB91)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11139,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB91) | (~v108(constB91))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11138, 11137])).
% 38.19/24.62 tff(11140,plain,
% 38.19/24.62 (v107(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11139, 336, 11136])).
% 38.19/24.62 tff(11141,assumption,(v26(constB91)), introduced(assumption)).
% 38.19/24.62 tff(11142,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11143,plain,
% 38.19/24.62 ($false),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11142, 120, 11141])).
% 38.19/24.62 tff(11144,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 38.19/24.62 tff(11145,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11146,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11147,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91)),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11146, 11145])).
% 38.19/24.62 tff(11148,plain,
% 38.19/24.62 ((~v107(constB91)) | v106(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11147, 350, 11144])).
% 38.19/24.62 tff(11149,plain,
% 38.19/24.62 (v106(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11148, 11140])).
% 38.19/24.62 tff(11150,plain,
% 38.19/24.62 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB91) | (~v106(constB91)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB91) | (~v106(constB91)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11151,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB91) | (~v106(constB91)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11152,plain,
% 38.19/24.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB91) | (~v106(constB91))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11151, 11150])).
% 38.19/24.62 tff(11153,plain,
% 38.19/24.62 (v102(constB91)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11152, 362, 11149])).
% 38.19/24.62 tff(11154,plain,
% 38.19/24.62 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11155,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 38.19/24.62 tff(11156,plain,
% 38.19/24.62 (nextState(constB91, constB92)),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11155, 11154])).
% 38.19/24.62 tff(11157,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11158,plain,
% 38.19/24.62 (((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11159,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))))),
% 38.19/24.62 inference(monotonicity,[status(thm)],[11158])).
% 38.19/24.62 tff(11160,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 38.19/24.62 inference(transitivity,[status(thm)],[11159, 11157])).
% 38.19/24.62 tff(11161,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11162,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11161, 11160])).
% 38.19/24.62 tff(11163,plain,
% 38.19/24.62 (v104(constB92) | (~v102(constB91))),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11162, 379, 11156])).
% 38.19/24.62 tff(11164,plain,
% 38.19/24.62 (v104(constB92)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11163, 11153])).
% 38.19/24.62 tff(11165,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11166,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11167,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92))),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11166, 11165])).
% 38.19/24.62 tff(11168,plain,
% 38.19/24.62 (~v98(constB92)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11167, 397, 11156, 10681])).
% 38.19/24.62 tff(11169,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11170,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 38.19/24.62 inference(quant_inst,[status(thm)],[])).
% 38.19/24.62 tff(11171,plain,
% 38.19/24.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92)),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11170, 11169])).
% 38.19/24.62 tff(11172,plain,
% 38.19/24.62 (v96(constB92) | v98(constB92)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11171, 411, 11156])).
% 38.19/24.62 tff(11173,plain,
% 38.19/24.62 (v96(constB92)),
% 38.19/24.62 inference(unit_resolution,[status(thm)],[11172, 11168])).
% 38.19/24.62 tff(11174,plain,
% 38.19/24.62 (v1(constB92) <=> v1(constB92)),
% 38.19/24.62 inference(rewrite,[status(thm)],[])).
% 38.19/24.62 tff(11175,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 38.19/24.62 tff(11176,plain,
% 38.19/24.62 (v1(constB92)),
% 38.19/24.62 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 38.19/24.62 tff(11177,plain,
% 38.19/24.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11178,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11179,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92))),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11178, 11177])).
% 38.19/24.63 tff(11180,plain,
% 38.19/24.63 (v95(constB92) | (~v96(constB92))),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11179, 429, 11156, 11176])).
% 38.19/24.63 tff(11181,plain,
% 38.19/24.63 (v95(constB92)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11180, 11173])).
% 38.19/24.63 tff(11182,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11183,plain,
% 38.19/24.63 (((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92)) <=> ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11184,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92))))),
% 38.19/24.63 inference(monotonicity,[status(thm)],[11183])).
% 38.19/24.63 tff(11185,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 38.19/24.63 inference(transitivity,[status(thm)],[11184, 11182])).
% 38.19/24.63 tff(11186,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11187,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92))),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 38.19/24.63 tff(11188,plain,
% 38.19/24.63 (v94(constB92) | (~v95(constB92)) | (~v104(constB92))),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11187, 444, 11156])).
% 38.19/24.63 tff(11189,plain,
% 38.19/24.63 (v94(constB92) | (~v104(constB92))),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11188, 11181])).
% 38.19/24.63 tff(11190,plain,
% 38.19/24.63 (v94(constB92)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11189, 11164])).
% 38.19/24.63 tff(11191,plain,
% 38.19/24.63 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB91)) | v124(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB91)) | v124(constB91, bitIndex2))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11192,plain,
% 38.19/24.63 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB91)) | v124(constB91, bitIndex2))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11193,plain,
% 38.19/24.63 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB91)) | v124(constB91, bitIndex2)),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11192, 11191])).
% 38.19/24.63 tff(11194,plain,
% 38.19/24.63 (v124(constB91, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11193, 1918, 11124])).
% 38.19/24.63 tff(11195,plain,
% 38.19/24.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11196,plain,
% 38.19/24.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11197,plain,
% 38.19/24.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11196, 11195])).
% 38.19/24.63 tff(11198,plain,
% 38.19/24.63 ((~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11197, 477, 11144])).
% 38.19/24.63 tff(11199,plain,
% 38.19/24.63 (v121(constB91, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11198, 11194])).
% 38.19/24.63 tff(11200,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11201,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11202,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2)),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11201, 11200])).
% 38.19/24.63 tff(11203,plain,
% 38.19/24.63 ((~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11202, 492, 11156])).
% 38.19/24.63 tff(11204,plain,
% 38.19/24.63 (v123(constB92, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11203, 11199])).
% 38.19/24.63 tff(11205,plain,
% 38.19/24.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11206,plain,
% 38.19/24.63 ((v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2))) <=> (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11207,plain,
% 38.19/24.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92))))),
% 38.19/24.63 inference(monotonicity,[status(thm)],[11206])).
% 38.19/24.63 tff(11208,plain,
% 38.19/24.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 38.19/24.63 inference(transitivity,[status(thm)],[11207, 11205])).
% 38.19/24.63 tff(11209,plain,
% 38.19/24.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11210,plain,
% 38.19/24.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92))),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11209, 11208])).
% 38.19/24.63 tff(11211,plain,
% 38.19/24.63 (v84(constB92, bitIndex2) | (~v94(constB92))),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11210, 507, 11204])).
% 38.19/24.63 tff(11212,plain,
% 38.19/24.63 (v84(constB92, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11211, 11190])).
% 38.19/24.63 tff(11213,plain,
% 38.19/24.63 ((~v1(constB93)) <=> (~v1(constB93))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11214,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 38.19/24.63 tff(11215,plain,
% 38.19/24.63 (~v1(constB93)),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 38.19/24.63 tff(11216,plain,
% 38.19/24.63 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11217,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 38.19/24.63 tff(11218,plain,
% 38.19/24.63 (nextState(constB92, constB93)),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 38.19/24.63 tff(11219,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11220,plain,
% 38.19/24.63 (((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11221,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))))),
% 38.19/24.63 inference(monotonicity,[status(thm)],[11220])).
% 38.19/24.63 tff(11222,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 38.19/24.63 inference(transitivity,[status(thm)],[11221, 11219])).
% 38.19/24.63 tff(11223,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11224,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11223, 11222])).
% 38.19/24.63 tff(11225,plain,
% 38.19/24.63 (~v95(constB93)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11224, 175, 11218, 11215])).
% 38.19/24.63 tff(11226,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11227,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11228,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93))),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11227, 11226])).
% 38.19/24.63 tff(11229,plain,
% 38.19/24.63 (v95(constB93) | (~v94(constB93))),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11228, 192, 11218])).
% 38.19/24.63 tff(11230,plain,
% 38.19/24.63 (~v94(constB93)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11229, 11225])).
% 38.19/24.63 tff(11231,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11232,plain,
% 38.19/24.63 (((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2)) <=> ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11233,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2)))),
% 38.19/24.63 inference(monotonicity,[status(thm)],[11232])).
% 38.19/24.63 tff(11234,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 38.19/24.63 inference(transitivity,[status(thm)],[11233, 11231])).
% 38.19/24.63 tff(11235,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11236,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2)),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11235, 11234])).
% 38.19/24.63 tff(11237,plain,
% 38.19/24.63 ((~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11236, 543, 11218])).
% 38.19/24.63 tff(11238,plain,
% 38.19/24.63 ((~v84(constB92, bitIndex2)) | v84(constB93, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11237, 11230])).
% 38.19/24.63 tff(11239,plain,
% 38.19/24.63 (v84(constB93, bitIndex2)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11238, 11212])).
% 38.19/24.63 tff(11240,plain,
% 38.19/24.63 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB91)) | (~v124(constB91, bitIndex1)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11241,plain,
% 38.19/24.63 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex1)))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11242,plain,
% 38.19/24.63 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB91)) | (~v124(constB91, bitIndex1))),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11241, 11240])).
% 38.19/24.63 tff(11243,plain,
% 38.19/24.63 (~v124(constB91, bitIndex1)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11242, 1977, 11124])).
% 38.19/24.63 tff(11244,plain,
% 38.19/24.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11245,plain,
% 38.19/24.63 ((v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1))) <=> ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11246,plain,
% 38.19/24.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1)))),
% 38.19/24.63 inference(monotonicity,[status(thm)],[11245])).
% 38.19/24.63 tff(11247,plain,
% 38.19/24.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 38.19/24.63 inference(transitivity,[status(thm)],[11246, 11244])).
% 38.19/24.63 tff(11248,plain,
% 38.19/24.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11249,plain,
% 38.19/24.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1)),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11248, 11247])).
% 38.19/24.63 tff(11250,plain,
% 38.19/24.63 ((~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11249, 576, 11144])).
% 38.19/24.63 tff(11251,plain,
% 38.19/24.63 (~v121(constB91, bitIndex1)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11250, 11243])).
% 38.19/24.63 tff(11252,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11253,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11254,plain,
% 38.19/24.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 38.19/24.63 tff(11255,plain,
% 38.19/24.63 (v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11254, 594, 11156])).
% 38.19/24.63 tff(11256,plain,
% 38.19/24.63 (~v123(constB92, bitIndex1)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11255, 11251])).
% 38.19/24.63 tff(11257,plain,
% 38.19/24.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11258,plain,
% 38.19/24.63 (((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1)) <=> ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11259,plain,
% 38.19/24.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92))))),
% 38.19/24.63 inference(monotonicity,[status(thm)],[11258])).
% 38.19/24.63 tff(11260,plain,
% 38.19/24.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 38.19/24.63 inference(transitivity,[status(thm)],[11259, 11257])).
% 38.19/24.63 tff(11261,plain,
% 38.19/24.63 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))),
% 38.19/24.63 inference(quant_inst,[status(thm)],[])).
% 38.19/24.63 tff(11262,plain,
% 38.19/24.63 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92))),
% 38.19/24.63 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 38.19/24.63 tff(11263,plain,
% 38.19/24.63 ((~v84(constB92, bitIndex1)) | (~v94(constB92))),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11262, 609, 11256])).
% 38.19/24.63 tff(11264,plain,
% 38.19/24.63 (~v84(constB92, bitIndex1)),
% 38.19/24.63 inference(unit_resolution,[status(thm)],[11263, 11190])).
% 38.19/24.63 tff(11265,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11266,plain,
% 38.19/24.63 (((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1))) <=> (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 38.19/24.63 inference(rewrite,[status(thm)],[])).
% 38.19/24.63 tff(11267,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1))))),
% 38.19/24.63 inference(monotonicity,[status(thm)],[11266])).
% 38.19/24.63 tff(11268,plain,
% 38.19/24.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 38.19/24.64 inference(transitivity,[status(thm)],[11267, 11265])).
% 38.19/24.64 tff(11269,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11270,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 38.19/24.64 tff(11271,plain,
% 38.19/24.64 (v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11270, 228, 11218])).
% 38.19/24.64 tff(11272,plain,
% 38.19/24.64 (v84(constB92, bitIndex1) | (~v84(constB93, bitIndex1))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11271, 11230])).
% 38.19/24.64 tff(11273,plain,
% 38.19/24.64 (~v84(constB93, bitIndex1)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11272, 11264])).
% 38.19/24.64 tff(11274,plain,
% 38.19/24.64 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB91)) | (~v124(constB91, bitIndex0)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11275,plain,
% 38.19/24.64 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex0)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11276,plain,
% 38.19/24.64 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB91)) | (~v124(constB91, bitIndex0))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11275, 11274])).
% 38.19/24.64 tff(11277,plain,
% 38.19/24.64 (~v124(constB91, bitIndex0)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11276, 2021, 11124])).
% 38.19/24.64 tff(11278,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11279,plain,
% 38.19/24.64 ((v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0))) <=> ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11280,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0)))),
% 38.19/24.64 inference(monotonicity,[status(thm)],[11279])).
% 38.19/24.64 tff(11281,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 38.19/24.64 inference(transitivity,[status(thm)],[11280, 11278])).
% 38.19/24.64 tff(11282,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11283,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11282, 11281])).
% 38.19/24.64 tff(11284,plain,
% 38.19/24.64 ((~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11283, 650, 11144])).
% 38.19/24.64 tff(11285,plain,
% 38.19/24.64 (~v121(constB91, bitIndex0)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11284, 11277])).
% 38.19/24.64 tff(11286,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11287,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11288,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11287, 11286])).
% 38.19/24.64 tff(11289,plain,
% 38.19/24.64 (v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11288, 668, 11156])).
% 38.19/24.64 tff(11290,plain,
% 38.19/24.64 (~v123(constB92, bitIndex0)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11289, 11285])).
% 38.19/24.64 tff(11291,plain,
% 38.19/24.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11292,plain,
% 38.19/24.64 (((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0)) <=> ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11293,plain,
% 38.19/24.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92))))),
% 38.19/24.64 inference(monotonicity,[status(thm)],[11292])).
% 38.19/24.64 tff(11294,plain,
% 38.19/24.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 38.19/24.64 inference(transitivity,[status(thm)],[11293, 11291])).
% 38.19/24.64 tff(11295,plain,
% 38.19/24.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11296,plain,
% 38.19/24.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11295, 11294])).
% 38.19/24.64 tff(11297,plain,
% 38.19/24.64 ((~v84(constB92, bitIndex0)) | (~v94(constB92))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11296, 683, 11290])).
% 38.19/24.64 tff(11298,plain,
% 38.19/24.64 (~v84(constB92, bitIndex0)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11297, 11190])).
% 38.19/24.64 tff(11299,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11300,plain,
% 38.19/24.64 (((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0))) <=> (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11301,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0))))),
% 38.19/24.64 inference(monotonicity,[status(thm)],[11300])).
% 38.19/24.64 tff(11302,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 38.19/24.64 inference(transitivity,[status(thm)],[11301, 11299])).
% 38.19/24.64 tff(11303,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11304,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11303, 11302])).
% 38.19/24.64 tff(11305,plain,
% 38.19/24.64 (v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11304, 249, 11218])).
% 38.19/24.64 tff(11306,plain,
% 38.19/24.64 (v84(constB92, bitIndex0) | (~v84(constB93, bitIndex0))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11305, 11230])).
% 38.19/24.64 tff(11307,plain,
% 38.19/24.64 (~v84(constB93, bitIndex0)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11306, 11298])).
% 38.19/24.64 tff(11308,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11309,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11310,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11309, 11308])).
% 38.19/24.64 tff(11311,plain,
% 38.19/24.64 (v172(constB93)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11310, 710, 11307, 11273, 11239])).
% 38.19/24.64 tff(11312,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11313,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11314,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 38.19/24.64 tff(11315,plain,
% 38.19/24.64 (v109(constB93)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11314, 764, 11311])).
% 38.19/24.64 tff(11316,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB93) | (~v109(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB93) | (~v109(constB93)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11317,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB93) | (~v109(constB93)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11318,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB93) | (~v109(constB93))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 38.19/24.64 tff(11319,plain,
% 38.19/24.64 (v108(constB93)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11318, 325, 11315])).
% 38.19/24.64 tff(11320,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB93) | (~v108(constB93)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB93) | (~v108(constB93)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11321,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB93) | (~v108(constB93)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11322,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB93) | (~v108(constB93))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 38.19/24.64 tff(11323,plain,
% 38.19/24.64 (v107(constB93)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11322, 336, 11319])).
% 38.19/24.64 tff(11324,assumption,(v26(constB93)), introduced(assumption)).
% 38.19/24.64 tff(11325,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11326,plain,
% 38.19/24.64 ($false),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11325, 120, 11324])).
% 38.19/24.64 tff(11327,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 38.19/24.64 tff(11328,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11329,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11330,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | (~v107(constB93)) | v106(constB93)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11329, 11328])).
% 38.19/24.64 tff(11331,plain,
% 38.19/24.64 ((~v107(constB93)) | v106(constB93)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11330, 350, 11327])).
% 38.19/24.64 tff(11332,plain,
% 38.19/24.64 (v106(constB93)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11331, 11323])).
% 38.19/24.64 tff(11333,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB93) | (~v106(constB93)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB93) | (~v106(constB93)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11334,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB93) | (~v106(constB93)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11335,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB93) | (~v106(constB93))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 38.19/24.64 tff(11336,plain,
% 38.19/24.64 (v102(constB93)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11335, 362, 11332])).
% 38.19/24.64 tff(11337,plain,
% 38.19/24.64 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11338,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 38.19/24.64 tff(11339,plain,
% 38.19/24.64 (nextState(constB93, constB94)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11338, 11337])).
% 38.19/24.64 tff(11340,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11341,plain,
% 38.19/24.64 (((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11342,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))))),
% 38.19/24.64 inference(monotonicity,[status(thm)],[11341])).
% 38.19/24.64 tff(11343,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 38.19/24.64 inference(transitivity,[status(thm)],[11342, 11340])).
% 38.19/24.64 tff(11344,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11345,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11344, 11343])).
% 38.19/24.64 tff(11346,plain,
% 38.19/24.64 (v104(constB94) | (~v102(constB93))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11345, 379, 11339])).
% 38.19/24.64 tff(11347,plain,
% 38.19/24.64 (v104(constB94)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11346, 11336])).
% 38.19/24.64 tff(11348,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11349,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11350,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11349, 11348])).
% 38.19/24.64 tff(11351,plain,
% 38.19/24.64 (~v98(constB94)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11350, 397, 11339, 11215])).
% 38.19/24.64 tff(11352,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11353,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11354,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11353, 11352])).
% 38.19/24.64 tff(11355,plain,
% 38.19/24.64 (v96(constB94) | v98(constB94)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11354, 411, 11339])).
% 38.19/24.64 tff(11356,plain,
% 38.19/24.64 (v96(constB94)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11355, 11351])).
% 38.19/24.64 tff(11357,plain,
% 38.19/24.64 (v1(constB94) <=> v1(constB94)),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11358,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 38.19/24.64 tff(11359,plain,
% 38.19/24.64 (v1(constB94)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11358, 11357])).
% 38.19/24.64 tff(11360,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11361,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11362,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11361, 11360])).
% 38.19/24.64 tff(11363,plain,
% 38.19/24.64 (v95(constB94) | (~v96(constB94))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11362, 429, 11339, 11359])).
% 38.19/24.64 tff(11364,plain,
% 38.19/24.64 (v95(constB94)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11363, 11356])).
% 38.19/24.64 tff(11365,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11366,plain,
% 38.19/24.64 (((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94)) <=> ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11367,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94))))),
% 38.19/24.64 inference(monotonicity,[status(thm)],[11366])).
% 38.19/24.64 tff(11368,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 38.19/24.64 inference(transitivity,[status(thm)],[11367, 11365])).
% 38.19/24.64 tff(11369,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11370,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94))),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11369, 11368])).
% 38.19/24.64 tff(11371,plain,
% 38.19/24.64 (v94(constB94) | (~v95(constB94)) | (~v104(constB94))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11370, 444, 11339])).
% 38.19/24.64 tff(11372,plain,
% 38.19/24.64 (v94(constB94) | (~v104(constB94))),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11371, 11364])).
% 38.19/24.64 tff(11373,plain,
% 38.19/24.64 (v94(constB94)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11372, 11347])).
% 38.19/24.64 tff(11374,plain,
% 38.19/24.64 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB93)) | v124(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB93)) | v124(constB93, bitIndex2))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11375,plain,
% 38.19/24.64 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB93)) | v124(constB93, bitIndex2))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11376,plain,
% 38.19/24.64 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB93)) | v124(constB93, bitIndex2)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11375, 11374])).
% 38.19/24.64 tff(11377,plain,
% 38.19/24.64 (v124(constB93, bitIndex2)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11376, 724, 11311])).
% 38.19/24.64 tff(11378,plain,
% 38.19/24.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11379,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11380,plain,
% 38.19/24.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 38.19/24.64 tff(11381,plain,
% 38.19/24.64 ((~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11380, 477, 11327])).
% 38.19/24.64 tff(11382,plain,
% 38.19/24.64 (v121(constB93, bitIndex2)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11381, 11377])).
% 38.19/24.64 tff(11383,plain,
% 38.19/24.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))),
% 38.19/24.64 inference(rewrite,[status(thm)],[])).
% 38.19/24.64 tff(11384,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))),
% 38.19/24.64 inference(quant_inst,[status(thm)],[])).
% 38.19/24.64 tff(11385,plain,
% 38.19/24.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2)),
% 38.19/24.64 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 38.19/24.64 tff(11386,plain,
% 38.19/24.64 ((~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2)),
% 38.19/24.64 inference(unit_resolution,[status(thm)],[11385, 492, 11339])).
% 38.19/24.65 tff(11387,plain,
% 38.19/24.65 (v123(constB94, bitIndex2)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11386, 11382])).
% 38.19/24.65 tff(11388,plain,
% 38.19/24.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11389,plain,
% 38.19/24.65 ((v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2))) <=> (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11390,plain,
% 38.19/24.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94))))),
% 38.19/24.65 inference(monotonicity,[status(thm)],[11389])).
% 38.19/24.65 tff(11391,plain,
% 38.19/24.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 38.19/24.65 inference(transitivity,[status(thm)],[11390, 11388])).
% 38.19/24.65 tff(11392,plain,
% 38.19/24.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11393,plain,
% 38.19/24.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94))),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11392, 11391])).
% 38.19/24.65 tff(11394,plain,
% 38.19/24.65 (v84(constB94, bitIndex2) | (~v94(constB94))),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11393, 507, 11387])).
% 38.19/24.65 tff(11395,plain,
% 38.19/24.65 (v84(constB94, bitIndex2)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11394, 11373])).
% 38.19/24.65 tff(11396,plain,
% 38.19/24.65 ((~v1(constB95)) <=> (~v1(constB95))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11397,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 38.19/24.65 tff(11398,plain,
% 38.19/24.65 (~v1(constB95)),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11397, 11396])).
% 38.19/24.65 tff(11399,plain,
% 38.19/24.65 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11400,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 38.19/24.65 tff(11401,plain,
% 38.19/24.65 (nextState(constB94, constB95)),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 38.19/24.65 tff(11402,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11403,plain,
% 38.19/24.65 (((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11404,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))))),
% 38.19/24.65 inference(monotonicity,[status(thm)],[11403])).
% 38.19/24.65 tff(11405,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 38.19/24.65 inference(transitivity,[status(thm)],[11404, 11402])).
% 38.19/24.65 tff(11406,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11407,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11406, 11405])).
% 38.19/24.65 tff(11408,plain,
% 38.19/24.65 (~v95(constB95)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11407, 175, 11401, 11398])).
% 38.19/24.65 tff(11409,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11410,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11411,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95))),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11410, 11409])).
% 38.19/24.65 tff(11412,plain,
% 38.19/24.65 (v95(constB95) | (~v94(constB95))),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11411, 192, 11401])).
% 38.19/24.65 tff(11413,plain,
% 38.19/24.65 (~v94(constB95)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11412, 11408])).
% 38.19/24.65 tff(11414,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11415,plain,
% 38.19/24.65 (((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2)) <=> ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11416,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2)))),
% 38.19/24.65 inference(monotonicity,[status(thm)],[11415])).
% 38.19/24.65 tff(11417,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 38.19/24.65 inference(transitivity,[status(thm)],[11416, 11414])).
% 38.19/24.65 tff(11418,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11419,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2)),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11418, 11417])).
% 38.19/24.65 tff(11420,plain,
% 38.19/24.65 ((~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11419, 543, 11401])).
% 38.19/24.65 tff(11421,plain,
% 38.19/24.65 ((~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11420, 11413])).
% 38.19/24.65 tff(11422,plain,
% 38.19/24.65 (v84(constB95, bitIndex2)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11421, 11395])).
% 38.19/24.65 tff(11423,plain,
% 38.19/24.65 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB93)) | v124(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB93)) | v124(constB93, bitIndex1))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11424,plain,
% 38.19/24.65 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB93)) | v124(constB93, bitIndex1))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11425,plain,
% 38.19/24.65 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB93)) | v124(constB93, bitIndex1)),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 38.19/24.65 tff(11426,plain,
% 38.19/24.65 (v124(constB93, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11425, 861, 11311])).
% 38.19/24.65 tff(11427,plain,
% 38.19/24.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB93) | (~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB93) | (~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11428,plain,
% 38.19/24.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB93) | (~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11429,plain,
% 38.19/24.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB93) | (~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1)),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 38.19/24.65 tff(11430,plain,
% 38.19/24.65 ((~v124(constB93, bitIndex1)) | v121(constB93, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11429, 875, 11327])).
% 38.19/24.65 tff(11431,plain,
% 38.19/24.65 (v121(constB93, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11430, 11426])).
% 38.19/24.65 tff(11432,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11433,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11434,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1)),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11433, 11432])).
% 38.19/24.65 tff(11435,plain,
% 38.19/24.65 ((~v121(constB93, bitIndex1)) | v123(constB94, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11434, 890, 11339])).
% 38.19/24.65 tff(11436,plain,
% 38.19/24.65 (v123(constB94, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11435, 11431])).
% 38.19/24.65 tff(11437,plain,
% 38.19/24.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11438,plain,
% 38.19/24.65 ((v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1))) <=> (v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11439,plain,
% 38.19/24.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94))))),
% 38.19/24.65 inference(monotonicity,[status(thm)],[11438])).
% 38.19/24.65 tff(11440,plain,
% 38.19/24.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94)))),
% 38.19/24.65 inference(transitivity,[status(thm)],[11439, 11437])).
% 38.19/24.65 tff(11441,plain,
% 38.19/24.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1)))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11442,plain,
% 38.19/24.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)) | (~v94(constB94))),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11441, 11440])).
% 38.19/24.65 tff(11443,plain,
% 38.19/24.65 (v84(constB94, bitIndex1) | (~v94(constB94))),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11442, 905, 11436])).
% 38.19/24.65 tff(11444,plain,
% 38.19/24.65 (v84(constB94, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11443, 11373])).
% 38.19/24.65 tff(11445,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11446,plain,
% 38.19/24.65 (((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1)) <=> ((~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11447,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1)))),
% 38.19/24.65 inference(monotonicity,[status(thm)],[11446])).
% 38.19/24.65 tff(11448,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1))),
% 38.19/24.65 inference(transitivity,[status(thm)],[11447, 11445])).
% 38.19/24.65 tff(11449,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11450,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex1)),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 38.19/24.65 tff(11451,plain,
% 38.19/24.65 ((~v84(constB94, bitIndex1)) | v94(constB95) | v84(constB95, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11450, 923, 11401])).
% 38.19/24.65 tff(11452,plain,
% 38.19/24.65 ((~v84(constB94, bitIndex1)) | v84(constB95, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11451, 11413])).
% 38.19/24.65 tff(11453,plain,
% 38.19/24.65 (v84(constB95, bitIndex1)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11452, 11444])).
% 38.19/24.65 tff(11454,plain,
% 38.19/24.65 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB93)) | (~v124(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB93)) | (~v124(constB93, bitIndex0)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11455,plain,
% 38.19/24.65 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB93)) | (~v124(constB93, bitIndex0)))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11456,plain,
% 38.19/24.65 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB93)) | (~v124(constB93, bitIndex0))),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11455, 11454])).
% 38.19/24.65 tff(11457,plain,
% 38.19/24.65 (~v124(constB93, bitIndex0)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11456, 942, 11311])).
% 38.19/24.65 tff(11458,plain,
% 38.19/24.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11459,plain,
% 38.19/24.65 ((v26(constB93) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0))) <=> ((~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11460,plain,
% 38.19/24.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB93) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0)))),
% 38.19/24.65 inference(monotonicity,[status(thm)],[11459])).
% 38.19/24.65 tff(11461,plain,
% 38.19/24.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB93) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0))),
% 38.19/24.65 inference(transitivity,[status(thm)],[11460, 11458])).
% 38.19/24.65 tff(11462,plain,
% 38.19/24.65 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB93) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11463,plain,
% 38.19/24.65 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB93, bitIndex0)) | v26(constB93) | v124(constB93, bitIndex0)),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11462, 11461])).
% 38.19/24.65 tff(11464,plain,
% 38.19/24.65 ((~v121(constB93, bitIndex0)) | v124(constB93, bitIndex0)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11463, 650, 11327])).
% 38.19/24.65 tff(11465,plain,
% 38.19/24.65 (~v121(constB93, bitIndex0)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11464, 11457])).
% 38.19/24.65 tff(11466,plain,
% 38.19/24.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11467,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0)))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11468,plain,
% 38.19/24.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0))),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11467, 11466])).
% 38.19/24.65 tff(11469,plain,
% 38.19/24.65 (v121(constB93, bitIndex0) | (~v123(constB94, bitIndex0))),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11468, 668, 11339])).
% 38.19/24.65 tff(11470,plain,
% 38.19/24.65 (~v123(constB94, bitIndex0)),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11469, 11465])).
% 38.19/24.65 tff(11471,plain,
% 38.19/24.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11472,plain,
% 38.19/24.65 (((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0)) <=> ((~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94)))),
% 38.19/24.65 inference(rewrite,[status(thm)],[])).
% 38.19/24.65 tff(11473,plain,
% 38.19/24.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94))))),
% 38.19/24.65 inference(monotonicity,[status(thm)],[11472])).
% 38.19/24.65 tff(11474,plain,
% 38.19/24.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94)))),
% 38.19/24.65 inference(transitivity,[status(thm)],[11473, 11471])).
% 38.19/24.65 tff(11475,plain,
% 38.19/24.65 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0))),
% 38.19/24.65 inference(quant_inst,[status(thm)],[])).
% 38.19/24.65 tff(11476,plain,
% 38.19/24.65 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0) | (~v94(constB94))),
% 38.19/24.65 inference(modus_ponens,[status(thm)],[11475, 11474])).
% 38.19/24.65 tff(11477,plain,
% 38.19/24.65 ((~v84(constB94, bitIndex0)) | (~v94(constB94))),
% 38.19/24.65 inference(unit_resolution,[status(thm)],[11476, 683, 11470])).
% 38.19/24.65 tff(11478,plain,
% 38.19/24.65 (~v84(constB94, bitIndex0)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11477, 11373])).
% 38.19/24.66 tff(11479,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11480,plain,
% 38.19/24.66 (((~nextState(constB94, constB95)) | v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0))) <=> (v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11481,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0))))),
% 38.19/24.66 inference(monotonicity,[status(thm)],[11480])).
% 38.19/24.66 tff(11482,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0)))),
% 38.19/24.66 inference(transitivity,[status(thm)],[11481, 11479])).
% 38.19/24.66 tff(11483,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11484,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex0))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11483, 11482])).
% 38.19/24.66 tff(11485,plain,
% 38.19/24.66 (v84(constB94, bitIndex0) | v94(constB95) | (~v84(constB95, bitIndex0))),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11484, 249, 11401])).
% 38.19/24.66 tff(11486,plain,
% 38.19/24.66 (v84(constB94, bitIndex0) | (~v84(constB95, bitIndex0))),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11485, 11413])).
% 38.19/24.66 tff(11487,plain,
% 38.19/24.66 (~v84(constB95, bitIndex0)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11486, 11478])).
% 38.19/24.66 tff(11488,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11489,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11490,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95)),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11489, 11488])).
% 38.19/24.66 tff(11491,plain,
% 38.19/24.66 (v119(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11490, 986, 11487, 11453, 11422])).
% 38.19/24.66 tff(11492,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB95) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB95) | (~v119(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11493,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB95) | (~v119(constB95)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11494,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB95) | (~v119(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 38.19/24.66 tff(11495,plain,
% 38.19/24.66 (v107(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11494, 997, 11491])).
% 38.19/24.66 tff(11496,assumption,(v26(constB95)), introduced(assumption)).
% 38.19/24.66 tff(11497,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11498,plain,
% 38.19/24.66 ($false),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11497, 120, 11496])).
% 38.19/24.66 tff(11499,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 38.19/24.66 tff(11500,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | v106(constB95) | (~v107(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11501,plain,
% 38.19/24.66 ((v26(constB95) | (~v107(constB95)) | v106(constB95)) <=> (v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11502,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | v106(constB95) | (~v107(constB95))))),
% 38.19/24.66 inference(monotonicity,[status(thm)],[11501])).
% 38.19/24.66 tff(11503,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 38.19/24.66 inference(transitivity,[status(thm)],[11502, 11500])).
% 38.19/24.66 tff(11504,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11505,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11504, 11503])).
% 38.19/24.66 tff(11506,plain,
% 38.19/24.66 (v106(constB95) | (~v107(constB95))),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11505, 350, 11499])).
% 38.19/24.66 tff(11507,plain,
% 38.19/24.66 (v106(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11506, 11495])).
% 38.19/24.66 tff(11508,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB95) | (~v106(constB95)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB95) | (~v106(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11509,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB95) | (~v106(constB95)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11510,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB95) | (~v106(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11509, 11508])).
% 38.19/24.66 tff(11511,plain,
% 38.19/24.66 (v102(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11510, 362, 11507])).
% 38.19/24.66 tff(11512,plain,
% 38.19/24.66 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11513,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 38.19/24.66 tff(11514,plain,
% 38.19/24.66 (nextState(constB95, constB96)),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11513, 11512])).
% 38.19/24.66 tff(11515,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11516,plain,
% 38.19/24.66 (((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11517,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))))),
% 38.19/24.66 inference(monotonicity,[status(thm)],[11516])).
% 38.19/24.66 tff(11518,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 38.19/24.66 inference(transitivity,[status(thm)],[11517, 11515])).
% 38.19/24.66 tff(11519,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11520,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 38.19/24.66 tff(11521,plain,
% 38.19/24.66 (v104(constB96) | (~v102(constB95))),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11520, 379, 11514])).
% 38.19/24.66 tff(11522,plain,
% 38.19/24.66 (v104(constB96)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11521, 11511])).
% 38.19/24.66 tff(11523,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11524,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11525,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 38.19/24.66 tff(11526,plain,
% 38.19/24.66 (~v98(constB96)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11525, 397, 11514, 11398])).
% 38.19/24.66 tff(11527,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11528,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11529,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96)),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 38.19/24.66 tff(11530,plain,
% 38.19/24.66 (v96(constB96) | v98(constB96)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11529, 411, 11514])).
% 38.19/24.66 tff(11531,plain,
% 38.19/24.66 (v96(constB96)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11530, 11526])).
% 38.19/24.66 tff(11532,plain,
% 38.19/24.66 (v1(constB96) <=> v1(constB96)),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11533,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 38.19/24.66 tff(11534,plain,
% 38.19/24.66 (v1(constB96)),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11533, 11532])).
% 38.19/24.66 tff(11535,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11536,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11537,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11536, 11535])).
% 38.19/24.66 tff(11538,plain,
% 38.19/24.66 (v95(constB96) | (~v96(constB96))),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11537, 429, 11514, 11534])).
% 38.19/24.66 tff(11539,plain,
% 38.19/24.66 (v95(constB96)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11538, 11531])).
% 38.19/24.66 tff(11540,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11541,plain,
% 38.19/24.66 (((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96)) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11542,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96))))),
% 38.19/24.66 inference(monotonicity,[status(thm)],[11541])).
% 38.19/24.66 tff(11543,plain,
% 38.19/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 38.19/24.66 inference(transitivity,[status(thm)],[11542, 11540])).
% 38.19/24.66 tff(11544,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11545,plain,
% 38.19/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 38.19/24.66 tff(11546,plain,
% 38.19/24.66 (v94(constB96) | (~v95(constB96)) | (~v104(constB96))),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11545, 444, 11514])).
% 38.19/24.66 tff(11547,plain,
% 38.19/24.66 (v94(constB96) | (~v104(constB96))),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11546, 11539])).
% 38.19/24.66 tff(11548,plain,
% 38.19/24.66 (v94(constB96)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11547, 11522])).
% 38.19/24.66 tff(11549,plain,
% 38.19/24.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v116(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v116(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11550,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v116(constB95)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11551,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v116(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 38.19/24.66 tff(11552,plain,
% 38.19/24.66 (~v116(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11551, 1069, 11422])).
% 38.19/24.66 tff(11553,plain,
% 38.19/24.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v118(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v118(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11554,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v118(constB95)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11555,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v118(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11554, 11553])).
% 38.19/24.66 tff(11556,plain,
% 38.19/24.66 (~v118(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11555, 1094, 11453])).
% 38.19/24.66 tff(11557,plain,
% 38.19/24.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v115(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v115(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11558,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v115(constB95)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11559,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v115(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 38.19/24.66 tff(11560,plain,
% 38.19/24.66 (~v115(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11559, 1058, 11422])).
% 38.19/24.66 tff(11561,plain,
% 38.19/24.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v172(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v172(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11562,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v172(constB95)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11563,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v172(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11562, 11561])).
% 38.19/24.66 tff(11564,plain,
% 38.19/24.66 (~v172(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11563, 1105, 11453])).
% 38.19/24.66 tff(11565,plain,
% 38.19/24.66 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB95)) | (~v84(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB95)) | (~v84(constB95, bitIndex1)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11566,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB95)) | (~v84(constB95, bitIndex1)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11567,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB95)) | (~v84(constB95, bitIndex1))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11566, 11565])).
% 38.19/24.66 tff(11568,plain,
% 38.19/24.66 (~v113(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11567, 1083, 11453])).
% 38.19/24.66 tff(11569,plain,
% 38.19/24.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v145(constB95)))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11570,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v145(constB95)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11571,plain,
% 38.19/24.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v145(constB95))),
% 38.19/24.66 inference(modus_ponens,[status(thm)],[11570, 11569])).
% 38.19/24.66 tff(11572,plain,
% 38.19/24.66 (~v145(constB95)),
% 38.19/24.66 inference(unit_resolution,[status(thm)],[11571, 1116, 11453])).
% 38.19/24.66 tff(11573,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB95) | (~v124(constB95, bitIndex2)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB95) | (~v124(constB95, bitIndex2)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11574,plain,
% 38.19/24.66 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex2))) <=> (v145(constB95) | (~v124(constB95, bitIndex2)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.19/24.66 inference(rewrite,[status(thm)],[])).
% 38.19/24.66 tff(11575,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB95) | (~v124(constB95, bitIndex2)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95)))),
% 38.19/24.66 inference(monotonicity,[status(thm)],[11574])).
% 38.19/24.66 tff(11576,plain,
% 38.19/24.66 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB95) | (~v124(constB95, bitIndex2)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.19/24.66 inference(transitivity,[status(thm)],[11575, 11573])).
% 38.19/24.66 tff(11577,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex2)))),
% 38.19/24.66 inference(quant_inst,[status(thm)],[])).
% 38.19/24.66 tff(11578,plain,
% 38.19/24.66 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB95) | (~v124(constB95, bitIndex2)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95)),
% 38.27/24.66 inference(modus_ponens,[status(thm)],[11577, 11576])).
% 38.27/24.66 tff(11579,plain,
% 38.27/24.66 (~v124(constB95, bitIndex2)),
% 38.27/24.66 inference(unit_resolution,[status(thm)],[11578, 1130, 11572, 11568, 11564, 11560, 11556, 11552])).
% 38.27/24.66 tff(11580,plain,
% 38.27/24.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2))),
% 38.27/24.66 inference(rewrite,[status(thm)],[])).
% 38.27/24.66 tff(11581,plain,
% 38.27/24.66 ((v26(constB95) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2))) <=> ((~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2))),
% 38.27/24.66 inference(rewrite,[status(thm)],[])).
% 38.27/24.66 tff(11582,plain,
% 38.27/24.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB95) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2)))),
% 38.27/24.66 inference(monotonicity,[status(thm)],[11581])).
% 38.27/24.66 tff(11583,plain,
% 38.27/24.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB95) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2))),
% 38.27/24.66 inference(transitivity,[status(thm)],[11582, 11580])).
% 38.27/24.66 tff(11584,plain,
% 38.27/24.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB95) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))),
% 38.27/24.66 inference(quant_inst,[status(thm)],[])).
% 38.27/24.66 tff(11585,plain,
% 38.27/24.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB95, bitIndex2)) | v26(constB95) | v124(constB95, bitIndex2)),
% 38.27/24.66 inference(modus_ponens,[status(thm)],[11584, 11583])).
% 38.27/24.66 tff(11586,plain,
% 38.27/24.66 ((~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2)),
% 38.27/24.66 inference(unit_resolution,[status(thm)],[11585, 1147, 11499])).
% 38.27/24.66 tff(11587,plain,
% 38.27/24.66 (~v121(constB95, bitIndex2)),
% 38.27/24.66 inference(unit_resolution,[status(thm)],[11586, 11579])).
% 38.27/24.66 tff(11588,plain,
% 38.27/24.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2)))),
% 38.27/24.66 inference(rewrite,[status(thm)],[])).
% 38.27/24.66 tff(11589,plain,
% 38.27/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2)))),
% 38.27/24.66 inference(quant_inst,[status(thm)],[])).
% 38.27/24.66 tff(11590,plain,
% 38.27/24.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2))),
% 38.27/24.66 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 38.27/24.66 tff(11591,plain,
% 38.27/24.66 (v121(constB95, bitIndex2) | (~v123(constB96, bitIndex2))),
% 38.27/24.66 inference(unit_resolution,[status(thm)],[11590, 1165, 11514])).
% 38.27/24.66 tff(11592,plain,
% 38.27/24.66 (~v123(constB96, bitIndex2)),
% 38.27/24.66 inference(unit_resolution,[status(thm)],[11591, 11587])).
% 38.27/24.66 tff(11593,plain,
% 38.27/24.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11594,plain,
% 38.27/24.67 (((~v84(constB96, bitIndex2)) | (~v94(constB96)) | v123(constB96, bitIndex2)) <=> ((~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11595,plain,
% 38.27/24.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | (~v94(constB96)) | v123(constB96, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96))))),
% 38.27/24.67 inference(monotonicity,[status(thm)],[11594])).
% 38.27/24.67 tff(11596,plain,
% 38.27/24.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | (~v94(constB96)) | v123(constB96, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96)))),
% 38.27/24.67 inference(transitivity,[status(thm)],[11595, 11593])).
% 38.27/24.67 tff(11597,plain,
% 38.27/24.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | (~v94(constB96)) | v123(constB96, bitIndex2))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11598,plain,
% 38.27/24.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2) | (~v94(constB96))),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11597, 11596])).
% 38.27/24.67 tff(11599,plain,
% 38.27/24.67 ((~v84(constB96, bitIndex2)) | (~v94(constB96))),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11598, 1180, 11592])).
% 38.27/24.67 tff(11600,plain,
% 38.27/24.67 (~v84(constB96, bitIndex2)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11599, 11548])).
% 38.27/24.67 tff(11601,plain,
% 38.27/24.67 ((~v1(constB97)) <=> (~v1(constB97))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11602,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 38.27/24.67 tff(11603,plain,
% 38.27/24.67 (~v1(constB97)),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11602, 11601])).
% 38.27/24.67 tff(11604,plain,
% 38.27/24.67 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11605,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 38.27/24.67 tff(11606,plain,
% 38.27/24.67 (nextState(constB96, constB97)),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11605, 11604])).
% 38.27/24.67 tff(11607,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11608,plain,
% 38.27/24.67 (((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11609,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))))),
% 38.27/24.67 inference(monotonicity,[status(thm)],[11608])).
% 38.27/24.67 tff(11610,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 38.27/24.67 inference(transitivity,[status(thm)],[11609, 11607])).
% 38.27/24.67 tff(11611,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11612,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11611, 11610])).
% 38.27/24.67 tff(11613,plain,
% 38.27/24.67 (~v95(constB97)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11612, 175, 11606, 11603])).
% 38.27/24.67 tff(11614,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11615,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11616,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97))),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11615, 11614])).
% 38.27/24.67 tff(11617,plain,
% 38.27/24.67 (v95(constB97) | (~v94(constB97))),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11616, 192, 11606])).
% 38.27/24.67 tff(11618,plain,
% 38.27/24.67 (~v94(constB97)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11617, 11613])).
% 38.27/24.67 tff(11619,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11620,plain,
% 38.27/24.67 (((~nextState(constB96, constB97)) | v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2))) <=> (v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11621,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2))))),
% 38.27/24.67 inference(monotonicity,[status(thm)],[11620])).
% 38.27/24.67 tff(11622,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2)))),
% 38.27/24.67 inference(transitivity,[status(thm)],[11621, 11619])).
% 38.27/24.67 tff(11623,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2)))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11624,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex2))),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 38.27/24.67 tff(11625,plain,
% 38.27/24.67 (v84(constB96, bitIndex2) | v94(constB97) | (~v84(constB97, bitIndex2))),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11624, 207, 11606])).
% 38.27/24.67 tff(11626,plain,
% 38.27/24.67 (v84(constB96, bitIndex2) | (~v84(constB97, bitIndex2))),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11625, 11618])).
% 38.27/24.67 tff(11627,plain,
% 38.27/24.67 (~v84(constB97, bitIndex2)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11626, 11600])).
% 38.27/24.67 tff(11628,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB95) | (~v124(constB95, bitIndex1)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB95) | (~v124(constB95, bitIndex1)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11629,plain,
% 38.27/24.67 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex1))) <=> (v145(constB95) | (~v124(constB95, bitIndex1)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11630,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB95) | (~v124(constB95, bitIndex1)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95)))),
% 38.27/24.67 inference(monotonicity,[status(thm)],[11629])).
% 38.27/24.67 tff(11631,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB95) | (~v124(constB95, bitIndex1)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.27/24.67 inference(transitivity,[status(thm)],[11630, 11628])).
% 38.27/24.67 tff(11632,plain,
% 38.27/24.67 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~v124(constB95, bitIndex1)))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11633,plain,
% 38.27/24.67 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB95) | (~v124(constB95, bitIndex1)) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95)),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11632, 11631])).
% 38.27/24.67 tff(11634,plain,
% 38.27/24.67 (~v124(constB95, bitIndex1)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11633, 1225, 11572, 11568, 11564, 11560, 11556, 11552])).
% 38.27/24.67 tff(11635,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11636,plain,
% 38.27/24.67 ((v26(constB95) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1))) <=> ((~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11637,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB95) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1)))),
% 38.27/24.67 inference(monotonicity,[status(thm)],[11636])).
% 38.27/24.67 tff(11638,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB95) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1))),
% 38.27/24.67 inference(transitivity,[status(thm)],[11637, 11635])).
% 38.27/24.67 tff(11639,plain,
% 38.27/24.67 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB95) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11640,plain,
% 38.27/24.67 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB95, bitIndex1)) | v26(constB95) | v124(constB95, bitIndex1)),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 38.27/24.67 tff(11641,plain,
% 38.27/24.67 ((~v121(constB95, bitIndex1)) | v124(constB95, bitIndex1)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11640, 576, 11499])).
% 38.27/24.67 tff(11642,plain,
% 38.27/24.67 (~v121(constB95, bitIndex1)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11641, 11634])).
% 38.27/24.67 tff(11643,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11644,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1)))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11645,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1))),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11644, 11643])).
% 38.27/24.67 tff(11646,plain,
% 38.27/24.67 (v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1))),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11645, 594, 11514])).
% 38.27/24.67 tff(11647,plain,
% 38.27/24.67 (~v123(constB96, bitIndex1)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11646, 11642])).
% 38.27/24.67 tff(11648,plain,
% 38.27/24.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11649,plain,
% 38.27/24.67 (((~v84(constB96, bitIndex1)) | (~v94(constB96)) | v123(constB96, bitIndex1)) <=> ((~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11650,plain,
% 38.27/24.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~v94(constB96)) | v123(constB96, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96))))),
% 38.27/24.67 inference(monotonicity,[status(thm)],[11649])).
% 38.27/24.67 tff(11651,plain,
% 38.27/24.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~v94(constB96)) | v123(constB96, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96)))),
% 38.27/24.67 inference(transitivity,[status(thm)],[11650, 11648])).
% 38.27/24.67 tff(11652,plain,
% 38.27/24.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~v94(constB96)) | v123(constB96, bitIndex1))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11653,plain,
% 38.27/24.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1) | (~v94(constB96))),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 38.27/24.67 tff(11654,plain,
% 38.27/24.67 ((~v84(constB96, bitIndex1)) | (~v94(constB96))),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11653, 609, 11647])).
% 38.27/24.67 tff(11655,plain,
% 38.27/24.67 (~v84(constB96, bitIndex1)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11654, 11548])).
% 38.27/24.67 tff(11656,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11657,plain,
% 38.27/24.67 (((~nextState(constB96, constB97)) | v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1))) <=> (v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1)))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11658,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1))))),
% 38.27/24.67 inference(monotonicity,[status(thm)],[11657])).
% 38.27/24.67 tff(11659,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1)))),
% 38.27/24.67 inference(transitivity,[status(thm)],[11658, 11656])).
% 38.27/24.67 tff(11660,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1)))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11661,plain,
% 38.27/24.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex1))),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11660, 11659])).
% 38.27/24.67 tff(11662,plain,
% 38.27/24.67 (v84(constB96, bitIndex1) | v94(constB97) | (~v84(constB97, bitIndex1))),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11661, 228, 11606])).
% 38.27/24.67 tff(11663,plain,
% 38.27/24.67 (v84(constB96, bitIndex1) | (~v84(constB97, bitIndex1))),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11662, 11618])).
% 38.27/24.67 tff(11664,plain,
% 38.27/24.67 (~v84(constB97, bitIndex1)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11663, 11655])).
% 38.27/24.67 tff(11665,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB95) | v124(constB95, bitIndex0) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB95) | v124(constB95, bitIndex0) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11666,plain,
% 38.27/24.67 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | v124(constB95, bitIndex0)) <=> (v145(constB95) | v124(constB95, bitIndex0) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11667,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | v124(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB95) | v124(constB95, bitIndex0) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95)))),
% 38.27/24.67 inference(monotonicity,[status(thm)],[11666])).
% 38.27/24.67 tff(11668,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | v124(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB95) | v124(constB95, bitIndex0) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95))),
% 38.27/24.67 inference(transitivity,[status(thm)],[11667, 11665])).
% 38.27/24.67 tff(11669,plain,
% 38.27/24.67 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | v124(constB95, bitIndex0))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11670,plain,
% 38.27/24.67 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB95) | v124(constB95, bitIndex0) | v172(constB95) | v115(constB95) | v113(constB95) | v116(constB95) | v118(constB95)),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11669, 11668])).
% 38.27/24.67 tff(11671,plain,
% 38.27/24.67 (v124(constB95, bitIndex0)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11670, 1272, 11572, 11568, 11564, 11560, 11556, 11552])).
% 38.27/24.67 tff(11672,plain,
% 38.27/24.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB95) | (~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB95) | (~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0))),
% 38.27/24.67 inference(rewrite,[status(thm)],[])).
% 38.27/24.67 tff(11673,plain,
% 38.27/24.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB95) | (~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0))),
% 38.27/24.67 inference(quant_inst,[status(thm)],[])).
% 38.27/24.67 tff(11674,plain,
% 38.27/24.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB95) | (~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0)),
% 38.27/24.67 inference(modus_ponens,[status(thm)],[11673, 11672])).
% 38.27/24.67 tff(11675,plain,
% 38.27/24.67 ((~v124(constB95, bitIndex0)) | v121(constB95, bitIndex0)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11674, 1289, 11499])).
% 38.27/24.67 tff(11676,plain,
% 38.27/24.67 (v121(constB95, bitIndex0)),
% 38.27/24.67 inference(unit_resolution,[status(thm)],[11675, 11671])).
% 38.27/24.67 tff(11677,plain,
% 38.27/24.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11678,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11679,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11678, 11677])).
% 38.27/24.68 tff(11680,plain,
% 38.27/24.68 ((~v121(constB95, bitIndex0)) | v123(constB96, bitIndex0)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11679, 1304, 11514])).
% 38.27/24.68 tff(11681,plain,
% 38.27/24.68 (v123(constB96, bitIndex0)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11680, 11676])).
% 38.27/24.68 tff(11682,plain,
% 38.27/24.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11683,plain,
% 38.27/24.68 ((v84(constB96, bitIndex0) | (~v94(constB96)) | (~v123(constB96, bitIndex0))) <=> (v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11684,plain,
% 38.27/24.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v94(constB96)) | (~v123(constB96, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96))))),
% 38.27/24.68 inference(monotonicity,[status(thm)],[11683])).
% 38.27/24.68 tff(11685,plain,
% 38.27/24.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v94(constB96)) | (~v123(constB96, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96)))),
% 38.27/24.68 inference(transitivity,[status(thm)],[11684, 11682])).
% 38.27/24.68 tff(11686,plain,
% 38.27/24.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~v94(constB96)) | (~v123(constB96, bitIndex0)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11687,plain,
% 38.27/24.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)) | (~v94(constB96))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 38.27/24.68 tff(11688,plain,
% 38.27/24.68 (v84(constB96, bitIndex0) | (~v94(constB96))),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11687, 1319, 11681])).
% 38.27/24.68 tff(11689,plain,
% 38.27/24.68 (v84(constB96, bitIndex0)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11688, 11548])).
% 38.27/24.68 tff(11690,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11691,plain,
% 38.27/24.68 (((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0)) <=> ((~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11692,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0)))),
% 38.27/24.68 inference(monotonicity,[status(thm)],[11691])).
% 38.27/24.68 tff(11693,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0))),
% 38.27/24.68 inference(transitivity,[status(thm)],[11692, 11690])).
% 38.27/24.68 tff(11694,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11695,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex0)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11694, 11693])).
% 38.27/24.68 tff(11696,plain,
% 38.27/24.68 ((~v84(constB96, bitIndex0)) | v94(constB97) | v84(constB97, bitIndex0)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11695, 1337, 11606])).
% 38.27/24.68 tff(11697,plain,
% 38.27/24.68 ((~v84(constB96, bitIndex0)) | v84(constB97, bitIndex0)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11696, 11618])).
% 38.27/24.68 tff(11698,plain,
% 38.27/24.68 (v84(constB97, bitIndex0)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11697, 11689])).
% 38.27/24.68 tff(11699,plain,
% 38.27/24.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11700,plain,
% 38.27/24.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11701,plain,
% 38.27/24.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11700, 11699])).
% 38.27/24.68 tff(11702,plain,
% 38.27/24.68 (v145(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11701, 1356, 11698, 11664, 11627])).
% 38.27/24.68 tff(11703,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB97) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB97) | (~v145(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11704,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB97) | (~v145(constB97)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11705,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB97) | (~v145(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 38.27/24.68 tff(11706,plain,
% 38.27/24.68 (v112(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11705, 1367, 11702])).
% 38.27/24.68 tff(11707,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB97) | (~v112(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11708,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB97) | (~v112(constB97)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11709,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB97) | (~v112(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11708, 11707])).
% 38.27/24.68 tff(11710,plain,
% 38.27/24.68 (v111(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11709, 292, 11706])).
% 38.27/24.68 tff(11711,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB97) | (~v111(constB97)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB97) | (~v111(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11712,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB97) | (~v111(constB97)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11713,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB97) | (~v111(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11712, 11711])).
% 38.27/24.68 tff(11714,plain,
% 38.27/24.68 (v110(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11713, 303, 11710])).
% 38.27/24.68 tff(11715,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB97) | (~v110(constB97)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB97) | (~v110(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11716,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB97) | (~v110(constB97)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11717,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB97) | (~v110(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11716, 11715])).
% 38.27/24.68 tff(11718,plain,
% 38.27/24.68 (v109(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11717, 314, 11714])).
% 38.27/24.68 tff(11719,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB97) | (~v109(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB97) | (~v109(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11720,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB97) | (~v109(constB97)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11721,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB97) | (~v109(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11720, 11719])).
% 38.27/24.68 tff(11722,plain,
% 38.27/24.68 (v108(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11721, 325, 11718])).
% 38.27/24.68 tff(11723,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB97) | (~v108(constB97)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB97) | (~v108(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11724,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB97) | (~v108(constB97)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11725,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB97) | (~v108(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11724, 11723])).
% 38.27/24.68 tff(11726,plain,
% 38.27/24.68 (v107(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11725, 336, 11722])).
% 38.27/24.68 tff(11727,assumption,(v26(constB97)), introduced(assumption)).
% 38.27/24.68 tff(11728,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11729,plain,
% 38.27/24.68 ($false),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11728, 120, 11727])).
% 38.27/24.68 tff(11730,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 38.27/24.68 tff(11731,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | v106(constB97) | (~v107(constB97)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11732,plain,
% 38.27/24.68 ((v26(constB97) | (~v107(constB97)) | v106(constB97)) <=> (v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11733,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | v106(constB97) | (~v107(constB97))))),
% 38.27/24.68 inference(monotonicity,[status(thm)],[11732])).
% 38.27/24.68 tff(11734,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 38.27/24.68 inference(transitivity,[status(thm)],[11733, 11731])).
% 38.27/24.68 tff(11735,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11736,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11735, 11734])).
% 38.27/24.68 tff(11737,plain,
% 38.27/24.68 (v106(constB97) | (~v107(constB97))),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11736, 350, 11730])).
% 38.27/24.68 tff(11738,plain,
% 38.27/24.68 (v106(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11737, 11726])).
% 38.27/24.68 tff(11739,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB97) | (~v106(constB97)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB97) | (~v106(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11740,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB97) | (~v106(constB97)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11741,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB97) | (~v106(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11740, 11739])).
% 38.27/24.68 tff(11742,plain,
% 38.27/24.68 (v102(constB97)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11741, 362, 11738])).
% 38.27/24.68 tff(11743,plain,
% 38.27/24.68 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11744,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 38.27/24.68 tff(11745,plain,
% 38.27/24.68 (nextState(constB97, constB98)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 38.27/24.68 tff(11746,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11747,plain,
% 38.27/24.68 (((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11748,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))))),
% 38.27/24.68 inference(monotonicity,[status(thm)],[11747])).
% 38.27/24.68 tff(11749,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 38.27/24.68 inference(transitivity,[status(thm)],[11748, 11746])).
% 38.27/24.68 tff(11750,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11751,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11750, 11749])).
% 38.27/24.68 tff(11752,plain,
% 38.27/24.68 (v104(constB98) | (~v102(constB97))),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11751, 379, 11745])).
% 38.27/24.68 tff(11753,plain,
% 38.27/24.68 (v104(constB98)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11752, 11742])).
% 38.27/24.68 tff(11754,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11755,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11756,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 38.27/24.68 tff(11757,plain,
% 38.27/24.68 (~v98(constB98)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11756, 397, 11745, 11603])).
% 38.27/24.68 tff(11758,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11759,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11760,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11759, 11758])).
% 38.27/24.68 tff(11761,plain,
% 38.27/24.68 (v96(constB98) | v98(constB98)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11760, 411, 11745])).
% 38.27/24.68 tff(11762,plain,
% 38.27/24.68 (v96(constB98)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11761, 11757])).
% 38.27/24.68 tff(11763,plain,
% 38.27/24.68 (v1(constB98) <=> v1(constB98)),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11764,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 38.27/24.68 tff(11765,plain,
% 38.27/24.68 (v1(constB98)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11764, 11763])).
% 38.27/24.68 tff(11766,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11767,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11768,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 38.27/24.68 tff(11769,plain,
% 38.27/24.68 (v95(constB98) | (~v96(constB98))),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11768, 429, 11745, 11765])).
% 38.27/24.68 tff(11770,plain,
% 38.27/24.68 (v95(constB98)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11769, 11762])).
% 38.27/24.68 tff(11771,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11772,plain,
% 38.27/24.68 (((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98)) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11773,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98))))),
% 38.27/24.68 inference(monotonicity,[status(thm)],[11772])).
% 38.27/24.68 tff(11774,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 38.27/24.68 inference(transitivity,[status(thm)],[11773, 11771])).
% 38.27/24.68 tff(11775,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11776,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11775, 11774])).
% 38.27/24.68 tff(11777,plain,
% 38.27/24.68 (v94(constB98) | (~v95(constB98)) | (~v104(constB98))),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11776, 444, 11745])).
% 38.27/24.68 tff(11778,plain,
% 38.27/24.68 (v94(constB98) | (~v104(constB98))),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11777, 11770])).
% 38.27/24.68 tff(11779,plain,
% 38.27/24.68 (v94(constB98)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11778, 11753])).
% 38.27/24.68 tff(11780,plain,
% 38.27/24.68 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB97)) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB97)) | (~v124(constB97, bitIndex2)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11781,plain,
% 38.27/24.68 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB97)) | (~v124(constB97, bitIndex2)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11782,plain,
% 38.27/24.68 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB97)) | (~v124(constB97, bitIndex2))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 38.27/24.68 tff(11783,plain,
% 38.27/24.68 (~v124(constB97, bitIndex2)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11782, 1451, 11702])).
% 38.27/24.68 tff(11784,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11785,plain,
% 38.27/24.68 ((v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2))) <=> ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11786,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2)))),
% 38.27/24.68 inference(monotonicity,[status(thm)],[11785])).
% 38.27/24.68 tff(11787,plain,
% 38.27/24.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 38.27/24.68 inference(transitivity,[status(thm)],[11786, 11784])).
% 38.27/24.68 tff(11788,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11789,plain,
% 38.27/24.68 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11788, 11787])).
% 38.27/24.68 tff(11790,plain,
% 38.27/24.68 ((~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11789, 1147, 11730])).
% 38.27/24.68 tff(11791,plain,
% 38.27/24.68 (~v121(constB97, bitIndex2)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11790, 11783])).
% 38.27/24.68 tff(11792,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11793,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11794,plain,
% 38.27/24.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 38.27/24.68 tff(11795,plain,
% 38.27/24.68 (v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2))),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11794, 1165, 11745])).
% 38.27/24.68 tff(11796,plain,
% 38.27/24.68 (~v123(constB98, bitIndex2)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11795, 11791])).
% 38.27/24.68 tff(11797,plain,
% 38.27/24.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11798,plain,
% 38.27/24.68 (((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2)) <=> ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11799,plain,
% 38.27/24.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98))))),
% 38.27/24.68 inference(monotonicity,[status(thm)],[11798])).
% 38.27/24.68 tff(11800,plain,
% 38.27/24.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 38.27/24.68 inference(transitivity,[status(thm)],[11799, 11797])).
% 38.27/24.68 tff(11801,plain,
% 38.27/24.68 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2))),
% 38.27/24.68 inference(quant_inst,[status(thm)],[])).
% 38.27/24.68 tff(11802,plain,
% 38.27/24.68 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98))),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11801, 11800])).
% 38.27/24.68 tff(11803,plain,
% 38.27/24.68 ((~v84(constB98, bitIndex2)) | (~v94(constB98))),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11802, 1180, 11796])).
% 38.27/24.68 tff(11804,plain,
% 38.27/24.68 (~v84(constB98, bitIndex2)),
% 38.27/24.68 inference(unit_resolution,[status(thm)],[11803, 11779])).
% 38.27/24.68 tff(11805,plain,
% 38.27/24.68 ((~v1(constB99)) <=> (~v1(constB99))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11806,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 38.27/24.68 tff(11807,plain,
% 38.27/24.68 (~v1(constB99)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11806, 11805])).
% 38.27/24.68 tff(11808,plain,
% 38.27/24.68 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11809,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 38.27/24.68 tff(11810,plain,
% 38.27/24.68 (nextState(constB98, constB99)),
% 38.27/24.68 inference(modus_ponens,[status(thm)],[11809, 11808])).
% 38.27/24.68 tff(11811,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11812,plain,
% 38.27/24.68 (((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 38.27/24.68 inference(rewrite,[status(thm)],[])).
% 38.27/24.68 tff(11813,plain,
% 38.27/24.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))))),
% 38.27/24.69 inference(monotonicity,[status(thm)],[11812])).
% 38.27/24.69 tff(11814,plain,
% 38.27/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 38.27/24.69 inference(transitivity,[status(thm)],[11813, 11811])).
% 38.27/24.69 tff(11815,plain,
% 38.27/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))),
% 38.27/24.69 inference(quant_inst,[status(thm)],[])).
% 38.27/24.69 tff(11816,plain,
% 38.27/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))),
% 38.27/24.69 inference(modus_ponens,[status(thm)],[11815, 11814])).
% 38.27/24.69 tff(11817,plain,
% 38.27/24.69 (~v95(constB99)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11816, 175, 11810, 11807])).
% 38.27/24.69 tff(11818,plain,
% 38.27/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11819,plain,
% 38.27/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 38.27/24.69 inference(quant_inst,[status(thm)],[])).
% 38.27/24.69 tff(11820,plain,
% 38.27/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99))),
% 38.27/24.69 inference(modus_ponens,[status(thm)],[11819, 11818])).
% 38.27/24.69 tff(11821,plain,
% 38.27/24.69 (v95(constB99) | (~v94(constB99))),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11820, 192, 11810])).
% 38.27/24.69 tff(11822,plain,
% 38.27/24.69 (~v94(constB99)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11821, 11817])).
% 38.27/24.69 tff(11823,plain,
% 38.27/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11824,plain,
% 38.27/24.69 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2))) <=> (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11825,plain,
% 38.27/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2))))),
% 38.27/24.69 inference(monotonicity,[status(thm)],[11824])).
% 38.27/24.69 tff(11826,plain,
% 38.27/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 38.27/24.69 inference(transitivity,[status(thm)],[11825, 11823])).
% 38.27/24.69 tff(11827,plain,
% 38.27/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 38.27/24.69 inference(quant_inst,[status(thm)],[])).
% 38.27/24.69 tff(11828,plain,
% 38.27/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2))),
% 38.27/24.69 inference(modus_ponens,[status(thm)],[11827, 11826])).
% 38.27/24.69 tff(11829,plain,
% 38.27/24.69 (v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2))),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11828, 207, 11810])).
% 38.27/24.69 tff(11830,plain,
% 38.27/24.69 (v84(constB98, bitIndex2) | (~v84(constB99, bitIndex2))),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11829, 11822])).
% 38.27/24.69 tff(11831,plain,
% 38.27/24.69 (~v84(constB99, bitIndex2)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11830, 11804])).
% 38.27/24.69 tff(11832,plain,
% 38.27/24.69 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB97)) | v124(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB97)) | v124(constB97, bitIndex1))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11833,plain,
% 38.27/24.69 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB97)) | v124(constB97, bitIndex1))),
% 38.27/24.69 inference(quant_inst,[status(thm)],[])).
% 38.27/24.69 tff(11834,plain,
% 38.27/24.69 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB97)) | v124(constB97, bitIndex1)),
% 38.27/24.69 inference(modus_ponens,[status(thm)],[11833, 11832])).
% 38.27/24.69 tff(11835,plain,
% 38.27/24.69 (v124(constB97, bitIndex1)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11834, 1513, 11702])).
% 38.27/24.69 tff(11836,plain,
% 38.27/24.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB97) | (~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB97) | (~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11837,plain,
% 38.27/24.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB97) | (~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1))),
% 38.27/24.69 inference(quant_inst,[status(thm)],[])).
% 38.27/24.69 tff(11838,plain,
% 38.27/24.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB97) | (~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1)),
% 38.27/24.69 inference(modus_ponens,[status(thm)],[11837, 11836])).
% 38.27/24.69 tff(11839,plain,
% 38.27/24.69 ((~v124(constB97, bitIndex1)) | v121(constB97, bitIndex1)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11838, 875, 11730])).
% 38.27/24.69 tff(11840,plain,
% 38.27/24.69 (v121(constB97, bitIndex1)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11839, 11835])).
% 38.27/24.69 tff(11841,plain,
% 38.27/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11842,plain,
% 38.27/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1))),
% 38.27/24.69 inference(quant_inst,[status(thm)],[])).
% 38.27/24.69 tff(11843,plain,
% 38.27/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1)),
% 38.27/24.69 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 38.27/24.69 tff(11844,plain,
% 38.27/24.69 ((~v121(constB97, bitIndex1)) | v123(constB98, bitIndex1)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11843, 890, 11745])).
% 38.27/24.69 tff(11845,plain,
% 38.27/24.69 (v123(constB98, bitIndex1)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11844, 11840])).
% 38.27/24.69 tff(11846,plain,
% 38.27/24.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98)))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11847,plain,
% 38.27/24.69 ((v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1))) <=> (v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98)))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11848,plain,
% 38.27/24.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98))))),
% 38.27/24.69 inference(monotonicity,[status(thm)],[11847])).
% 38.27/24.69 tff(11849,plain,
% 38.27/24.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98)))),
% 38.27/24.69 inference(transitivity,[status(thm)],[11848, 11846])).
% 38.27/24.69 tff(11850,plain,
% 38.27/24.69 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1)))),
% 38.27/24.69 inference(quant_inst,[status(thm)],[])).
% 38.27/24.69 tff(11851,plain,
% 38.27/24.69 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)) | (~v94(constB98))),
% 38.27/24.69 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 38.27/24.69 tff(11852,plain,
% 38.27/24.69 (v84(constB98, bitIndex1) | (~v94(constB98))),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11851, 905, 11845])).
% 38.27/24.69 tff(11853,plain,
% 38.27/24.69 (v84(constB98, bitIndex1)),
% 38.27/24.69 inference(unit_resolution,[status(thm)],[11852, 11779])).
% 38.27/24.69 tff(11854,plain,
% 38.27/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11855,plain,
% 38.27/24.69 (((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1)) <=> ((~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1))),
% 38.27/24.69 inference(rewrite,[status(thm)],[])).
% 38.27/24.69 tff(11856,plain,
% 38.27/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1)))),
% 38.30/24.69 inference(monotonicity,[status(thm)],[11855])).
% 38.30/24.69 tff(11857,plain,
% 38.30/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1))),
% 38.30/24.69 inference(transitivity,[status(thm)],[11856, 11854])).
% 38.30/24.69 tff(11858,plain,
% 38.30/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1))),
% 38.30/24.69 inference(quant_inst,[status(thm)],[])).
% 38.30/24.69 tff(11859,plain,
% 38.30/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex1)),
% 38.30/24.69 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 38.30/24.69 tff(11860,plain,
% 38.30/24.69 ((~v84(constB98, bitIndex1)) | v94(constB99) | v84(constB99, bitIndex1)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11859, 923, 11810])).
% 38.30/24.69 tff(11861,plain,
% 38.30/24.69 ((~v84(constB98, bitIndex1)) | v84(constB99, bitIndex1)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11860, 11822])).
% 38.30/24.69 tff(11862,plain,
% 38.30/24.69 (v84(constB99, bitIndex1)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11861, 11853])).
% 38.30/24.69 tff(11863,plain,
% 38.30/24.69 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB97)) | (~v124(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB97)) | (~v124(constB97, bitIndex0)))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11864,plain,
% 38.30/24.69 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB97)) | (~v124(constB97, bitIndex0)))),
% 38.30/24.69 inference(quant_inst,[status(thm)],[])).
% 38.30/24.69 tff(11865,plain,
% 38.30/24.69 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB97)) | (~v124(constB97, bitIndex0))),
% 38.30/24.69 inference(modus_ponens,[status(thm)],[11864, 11863])).
% 38.30/24.69 tff(11866,plain,
% 38.30/24.69 (~v124(constB97, bitIndex0)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11865, 1554, 11702])).
% 38.30/24.69 tff(11867,plain,
% 38.30/24.69 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11868,plain,
% 38.30/24.69 ((v26(constB97) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0))) <=> ((~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11869,plain,
% 38.30/24.69 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB97) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0)))),
% 38.30/24.69 inference(monotonicity,[status(thm)],[11868])).
% 38.30/24.69 tff(11870,plain,
% 38.30/24.69 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB97) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0))),
% 38.30/24.69 inference(transitivity,[status(thm)],[11869, 11867])).
% 38.30/24.69 tff(11871,plain,
% 38.30/24.69 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB97) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))),
% 38.30/24.69 inference(quant_inst,[status(thm)],[])).
% 38.30/24.69 tff(11872,plain,
% 38.30/24.69 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB97, bitIndex0)) | v26(constB97) | v124(constB97, bitIndex0)),
% 38.30/24.69 inference(modus_ponens,[status(thm)],[11871, 11870])).
% 38.30/24.69 tff(11873,plain,
% 38.30/24.69 ((~v121(constB97, bitIndex0)) | v124(constB97, bitIndex0)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11872, 650, 11730])).
% 38.30/24.69 tff(11874,plain,
% 38.30/24.69 (~v121(constB97, bitIndex0)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11873, 11866])).
% 38.30/24.69 tff(11875,plain,
% 38.30/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0)))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11876,plain,
% 38.30/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0)))),
% 38.30/24.69 inference(quant_inst,[status(thm)],[])).
% 38.30/24.69 tff(11877,plain,
% 38.30/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0))),
% 38.30/24.69 inference(modus_ponens,[status(thm)],[11876, 11875])).
% 38.30/24.69 tff(11878,plain,
% 38.30/24.69 (v121(constB97, bitIndex0) | (~v123(constB98, bitIndex0))),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11877, 668, 11745])).
% 38.30/24.69 tff(11879,plain,
% 38.30/24.69 (~v123(constB98, bitIndex0)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11878, 11874])).
% 38.30/24.69 tff(11880,plain,
% 38.30/24.69 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98)))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11881,plain,
% 38.30/24.69 (((~v84(constB98, bitIndex0)) | (~v94(constB98)) | v123(constB98, bitIndex0)) <=> ((~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98)))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11882,plain,
% 38.30/24.69 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~v94(constB98)) | v123(constB98, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98))))),
% 38.30/24.69 inference(monotonicity,[status(thm)],[11881])).
% 38.30/24.69 tff(11883,plain,
% 38.30/24.69 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~v94(constB98)) | v123(constB98, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98)))),
% 38.30/24.69 inference(transitivity,[status(thm)],[11882, 11880])).
% 38.30/24.69 tff(11884,plain,
% 38.30/24.69 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~v94(constB98)) | v123(constB98, bitIndex0))),
% 38.30/24.69 inference(quant_inst,[status(thm)],[])).
% 38.30/24.69 tff(11885,plain,
% 38.30/24.69 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0) | (~v94(constB98))),
% 38.30/24.69 inference(modus_ponens,[status(thm)],[11884, 11883])).
% 38.30/24.69 tff(11886,plain,
% 38.30/24.69 ((~v84(constB98, bitIndex0)) | (~v94(constB98))),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11885, 683, 11879])).
% 38.30/24.69 tff(11887,plain,
% 38.30/24.69 (~v84(constB98, bitIndex0)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11886, 11779])).
% 38.30/24.69 tff(11888,plain,
% 38.30/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0)))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11889,plain,
% 38.30/24.69 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0))) <=> (v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0)))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11890,plain,
% 38.30/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0))))),
% 38.30/24.69 inference(monotonicity,[status(thm)],[11889])).
% 38.30/24.69 tff(11891,plain,
% 38.30/24.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0)))),
% 38.30/24.69 inference(transitivity,[status(thm)],[11890, 11888])).
% 38.30/24.69 tff(11892,plain,
% 38.30/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0)))),
% 38.30/24.69 inference(quant_inst,[status(thm)],[])).
% 38.30/24.69 tff(11893,plain,
% 38.30/24.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex0))),
% 38.30/24.69 inference(modus_ponens,[status(thm)],[11892, 11891])).
% 38.30/24.69 tff(11894,plain,
% 38.30/24.69 (v84(constB98, bitIndex0) | v94(constB99) | (~v84(constB99, bitIndex0))),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11893, 249, 11810])).
% 38.30/24.69 tff(11895,plain,
% 38.30/24.69 (v84(constB98, bitIndex0) | (~v84(constB99, bitIndex0))),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11894, 11822])).
% 38.30/24.69 tff(11896,plain,
% 38.30/24.69 (~v84(constB99, bitIndex0)),
% 38.30/24.69 inference(unit_resolution,[status(thm)],[11895, 11887])).
% 38.30/24.69 tff(11897,plain,
% 38.30/24.69 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))),
% 38.30/24.69 inference(rewrite,[status(thm)],[])).
% 38.30/24.69 tff(11898,plain,
% 38.30/24.69 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11899,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99)),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 38.30/24.70 tff(11900,plain,
% 38.30/24.70 (v115(constB99)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11899, 1598, 11896, 11862, 11831])).
% 38.30/24.70 tff(11901,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB99) | (~v115(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11902,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB99) | (~v115(constB99)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11903,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB99) | (~v115(constB99))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11902, 11901])).
% 38.30/24.70 tff(11904,plain,
% 38.30/24.70 (v111(constB99)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11903, 1609, 11900])).
% 38.30/24.70 tff(11905,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB99) | (~v111(constB99)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB99) | (~v111(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11906,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB99) | (~v111(constB99)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11907,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB99) | (~v111(constB99))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 38.30/24.70 tff(11908,plain,
% 38.30/24.70 (v110(constB99)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11907, 303, 11904])).
% 38.30/24.70 tff(11909,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB99) | (~v110(constB99)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB99) | (~v110(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11910,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB99) | (~v110(constB99)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11911,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB99) | (~v110(constB99))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 38.30/24.70 tff(11912,plain,
% 38.30/24.70 (v109(constB99)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11911, 314, 11908])).
% 38.30/24.70 tff(11913,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB99) | (~v109(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB99) | (~v109(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11914,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB99) | (~v109(constB99)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11915,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB99) | (~v109(constB99))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 38.30/24.70 tff(11916,plain,
% 38.30/24.70 (v108(constB99)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11915, 325, 11912])).
% 38.30/24.70 tff(11917,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB99) | (~v108(constB99)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB99) | (~v108(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11918,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB99) | (~v108(constB99)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11919,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB99) | (~v108(constB99))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11918, 11917])).
% 38.30/24.70 tff(11920,plain,
% 38.30/24.70 (v107(constB99)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11919, 336, 11916])).
% 38.30/24.70 tff(11921,assumption,(v26(constB99)), introduced(assumption)).
% 38.30/24.70 tff(11922,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11923,plain,
% 38.30/24.70 ($false),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11922, 120, 11921])).
% 38.30/24.70 tff(11924,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 38.30/24.70 tff(11925,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11926,plain,
% 38.30/24.70 ((v26(constB99) | (~v107(constB99)) | v106(constB99)) <=> (v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11927,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99))))),
% 38.30/24.70 inference(monotonicity,[status(thm)],[11926])).
% 38.30/24.70 tff(11928,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 38.30/24.70 inference(transitivity,[status(thm)],[11927, 11925])).
% 38.30/24.70 tff(11929,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11930,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11929, 11928])).
% 38.30/24.70 tff(11931,plain,
% 38.30/24.70 (v106(constB99) | (~v107(constB99))),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11930, 350, 11924])).
% 38.30/24.70 tff(11932,plain,
% 38.30/24.70 (v106(constB99)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11931, 11920])).
% 38.30/24.70 tff(11933,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB99) | (~v106(constB99)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB99) | (~v106(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11934,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB99) | (~v106(constB99)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11935,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB99) | (~v106(constB99))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11934, 11933])).
% 38.30/24.70 tff(11936,plain,
% 38.30/24.70 (v102(constB99)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11935, 362, 11932])).
% 38.30/24.70 tff(11937,plain,
% 38.30/24.70 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11938,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 38.30/24.70 tff(11939,plain,
% 38.30/24.70 (nextState(constB99, constB100)),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11938, 11937])).
% 38.30/24.70 tff(11940,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11941,plain,
% 38.30/24.70 (((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11942,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))))),
% 38.30/24.70 inference(monotonicity,[status(thm)],[11941])).
% 38.30/24.70 tff(11943,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 38.30/24.70 inference(transitivity,[status(thm)],[11942, 11940])).
% 38.30/24.70 tff(11944,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11945,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11944, 11943])).
% 38.30/24.70 tff(11946,plain,
% 38.30/24.70 (v104(constB100) | (~v102(constB99))),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11945, 379, 11939])).
% 38.30/24.70 tff(11947,plain,
% 38.30/24.70 (v104(constB100)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11946, 11936])).
% 38.30/24.70 tff(11948,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11949,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11950,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 38.30/24.70 tff(11951,plain,
% 38.30/24.70 (~v98(constB100)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11950, 397, 11939, 11807])).
% 38.30/24.70 tff(11952,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11953,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11954,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100)),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11953, 11952])).
% 38.30/24.70 tff(11955,plain,
% 38.30/24.70 (v96(constB100) | v98(constB100)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11954, 411, 11939])).
% 38.30/24.70 tff(11956,plain,
% 38.30/24.70 (v96(constB100)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11955, 11951])).
% 38.30/24.70 tff(11957,plain,
% 38.30/24.70 (v1(constB100) <=> v1(constB100)),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11958,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 38.30/24.70 tff(11959,plain,
% 38.30/24.70 (v1(constB100)),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11958, 11957])).
% 38.30/24.70 tff(11960,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11961,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11962,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11961, 11960])).
% 38.30/24.70 tff(11963,plain,
% 38.30/24.70 (v95(constB100) | (~v96(constB100))),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11962, 429, 11939, 11959])).
% 38.30/24.70 tff(11964,plain,
% 38.30/24.70 (v95(constB100)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11963, 11956])).
% 38.30/24.70 tff(11965,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11966,plain,
% 38.30/24.70 (((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100)) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11967,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100))))),
% 38.30/24.70 inference(monotonicity,[status(thm)],[11966])).
% 38.30/24.70 tff(11968,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 38.30/24.70 inference(transitivity,[status(thm)],[11967, 11965])).
% 38.30/24.70 tff(11969,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11970,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 38.30/24.70 tff(11971,plain,
% 38.30/24.70 (v94(constB100) | (~v95(constB100)) | (~v104(constB100))),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11970, 444, 11939])).
% 38.30/24.70 tff(11972,plain,
% 38.30/24.70 (v94(constB100) | (~v104(constB100))),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11971, 11964])).
% 38.30/24.70 tff(11973,plain,
% 38.30/24.70 (v94(constB100)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11972, 11947])).
% 38.30/24.70 tff(11974,plain,
% 38.30/24.70 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB99)) | (~v124(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB99)) | (~v124(constB99, bitIndex2)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11975,plain,
% 38.30/24.70 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB99)) | (~v124(constB99, bitIndex2)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11976,plain,
% 38.30/24.70 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB99)) | (~v124(constB99, bitIndex2))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11975, 11974])).
% 38.30/24.70 tff(11977,plain,
% 38.30/24.70 (~v124(constB99, bitIndex2)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11976, 1688, 11900])).
% 38.30/24.70 tff(11978,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11979,plain,
% 38.30/24.70 ((v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2))) <=> ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11980,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2)))),
% 38.30/24.70 inference(monotonicity,[status(thm)],[11979])).
% 38.30/24.70 tff(11981,plain,
% 38.30/24.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 38.30/24.70 inference(transitivity,[status(thm)],[11980, 11978])).
% 38.30/24.70 tff(11982,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11983,plain,
% 38.30/24.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2)),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11982, 11981])).
% 38.30/24.70 tff(11984,plain,
% 38.30/24.70 ((~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11983, 1147, 11924])).
% 38.30/24.70 tff(11985,plain,
% 38.30/24.70 (~v121(constB99, bitIndex2)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11984, 11977])).
% 38.30/24.70 tff(11986,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11987,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11988,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11987, 11986])).
% 38.30/24.70 tff(11989,plain,
% 38.30/24.70 (v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2))),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11988, 1165, 11939])).
% 38.30/24.70 tff(11990,plain,
% 38.30/24.70 (~v123(constB100, bitIndex2)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11989, 11985])).
% 38.30/24.70 tff(11991,plain,
% 38.30/24.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11992,plain,
% 38.30/24.70 (((~v84(constB100, bitIndex2)) | (~v94(constB100)) | v123(constB100, bitIndex2)) <=> ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(11993,plain,
% 38.30/24.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | (~v94(constB100)) | v123(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100))))),
% 38.30/24.70 inference(monotonicity,[status(thm)],[11992])).
% 38.30/24.70 tff(11994,plain,
% 38.30/24.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | (~v94(constB100)) | v123(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 38.30/24.70 inference(transitivity,[status(thm)],[11993, 11991])).
% 38.30/24.70 tff(11995,plain,
% 38.30/24.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | (~v94(constB100)) | v123(constB100, bitIndex2))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(11996,plain,
% 38.30/24.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[11995, 11994])).
% 38.30/24.70 tff(11997,plain,
% 38.30/24.70 ((~v84(constB100, bitIndex2)) | (~v94(constB100))),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11996, 1180, 11990])).
% 38.30/24.70 tff(11998,plain,
% 38.30/24.70 (~v84(constB100, bitIndex2)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[11997, 11973])).
% 38.30/24.70 tff(11999,plain,
% 38.30/24.70 ((~v1(constB101)) <=> (~v1(constB101))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(12000,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 38.30/24.70 tff(12001,plain,
% 38.30/24.70 (~v1(constB101)),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 38.30/24.70 tff(12002,plain,
% 38.30/24.70 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(12003,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 38.30/24.70 tff(12004,plain,
% 38.30/24.70 (nextState(constB100, constB101)),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[12003, 12002])).
% 38.30/24.70 tff(12005,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(12006,plain,
% 38.30/24.70 (((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(12007,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))))),
% 38.30/24.70 inference(monotonicity,[status(thm)],[12006])).
% 38.30/24.70 tff(12008,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 38.30/24.70 inference(transitivity,[status(thm)],[12007, 12005])).
% 38.30/24.70 tff(12009,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(12010,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[12009, 12008])).
% 38.30/24.70 tff(12011,plain,
% 38.30/24.70 (~v95(constB101)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[12010, 175, 12004, 12001])).
% 38.30/24.70 tff(12012,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(12013,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 38.30/24.70 inference(quant_inst,[status(thm)],[])).
% 38.30/24.70 tff(12014,plain,
% 38.30/24.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101))),
% 38.30/24.70 inference(modus_ponens,[status(thm)],[12013, 12012])).
% 38.30/24.70 tff(12015,plain,
% 38.30/24.70 (v95(constB101) | (~v94(constB101))),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[12014, 192, 12004])).
% 38.30/24.70 tff(12016,plain,
% 38.30/24.70 (~v94(constB101)),
% 38.30/24.70 inference(unit_resolution,[status(thm)],[12015, 12011])).
% 38.30/24.70 tff(12017,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(12018,plain,
% 38.30/24.70 (((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2))) <=> (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 38.30/24.70 inference(rewrite,[status(thm)],[])).
% 38.30/24.70 tff(12019,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2))))),
% 38.30/24.70 inference(monotonicity,[status(thm)],[12018])).
% 38.30/24.70 tff(12020,plain,
% 38.30/24.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 38.30/24.71 inference(transitivity,[status(thm)],[12019, 12017])).
% 38.30/24.71 tff(12021,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12022,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12021, 12020])).
% 38.30/24.71 tff(12023,plain,
% 38.30/24.71 (v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2))),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12022, 207, 12004])).
% 38.30/24.71 tff(12024,plain,
% 38.30/24.71 (v84(constB100, bitIndex2) | (~v84(constB101, bitIndex2))),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12023, 12016])).
% 38.30/24.71 tff(12025,plain,
% 38.30/24.71 (~v84(constB101, bitIndex2)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12024, 11998])).
% 38.30/24.71 tff(12026,plain,
% 38.30/24.71 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB99)) | v124(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB99)) | v124(constB99, bitIndex1))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12027,plain,
% 38.30/24.71 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB99)) | v124(constB99, bitIndex1))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12028,plain,
% 38.30/24.71 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB99)) | v124(constB99, bitIndex1)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12027, 12026])).
% 38.30/24.71 tff(12029,plain,
% 38.30/24.71 (v124(constB99, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12028, 1750, 11900])).
% 38.30/24.71 tff(12030,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12031,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12032,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12031, 12030])).
% 38.30/24.71 tff(12033,plain,
% 38.30/24.71 ((~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12032, 875, 11924])).
% 38.30/24.71 tff(12034,plain,
% 38.30/24.71 (v121(constB99, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12033, 12029])).
% 38.30/24.71 tff(12035,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12036,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12037,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12036, 12035])).
% 38.30/24.71 tff(12038,plain,
% 38.30/24.71 ((~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12037, 890, 11939])).
% 38.30/24.71 tff(12039,plain,
% 38.30/24.71 (v123(constB100, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12038, 12034])).
% 38.30/24.71 tff(12040,plain,
% 38.30/24.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12041,plain,
% 38.30/24.71 ((v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1))) <=> (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12042,plain,
% 38.30/24.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100))))),
% 38.30/24.71 inference(monotonicity,[status(thm)],[12041])).
% 38.30/24.71 tff(12043,plain,
% 38.30/24.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 38.30/24.71 inference(transitivity,[status(thm)],[12042, 12040])).
% 38.30/24.71 tff(12044,plain,
% 38.30/24.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12045,plain,
% 38.30/24.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12044, 12043])).
% 38.30/24.71 tff(12046,plain,
% 38.30/24.71 (v84(constB100, bitIndex1) | (~v94(constB100))),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12045, 905, 12039])).
% 38.30/24.71 tff(12047,plain,
% 38.30/24.71 (v84(constB100, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12046, 11973])).
% 38.30/24.71 tff(12048,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12049,plain,
% 38.30/24.71 (((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1)) <=> ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12050,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1)))),
% 38.30/24.71 inference(monotonicity,[status(thm)],[12049])).
% 38.30/24.71 tff(12051,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 38.30/24.71 inference(transitivity,[status(thm)],[12050, 12048])).
% 38.30/24.71 tff(12052,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12053,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12052, 12051])).
% 38.30/24.71 tff(12054,plain,
% 38.30/24.71 ((~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12053, 923, 12004])).
% 38.30/24.71 tff(12055,plain,
% 38.30/24.71 ((~v84(constB100, bitIndex1)) | v84(constB101, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12054, 12016])).
% 38.30/24.71 tff(12056,plain,
% 38.30/24.71 (v84(constB101, bitIndex1)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12055, 12047])).
% 38.30/24.71 tff(12057,plain,
% 38.30/24.71 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB99)) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB99)) | v124(constB99, bitIndex0))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12058,plain,
% 38.30/24.71 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB99)) | v124(constB99, bitIndex0))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12059,plain,
% 38.30/24.71 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB99)) | v124(constB99, bitIndex0)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12058, 12057])).
% 38.30/24.71 tff(12060,plain,
% 38.30/24.71 (v124(constB99, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12059, 1791, 11900])).
% 38.30/24.71 tff(12061,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12062,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12063,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 38.30/24.71 tff(12064,plain,
% 38.30/24.71 ((~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12063, 1289, 11924])).
% 38.30/24.71 tff(12065,plain,
% 38.30/24.71 (v121(constB99, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12064, 12060])).
% 38.30/24.71 tff(12066,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12067,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12068,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12067, 12066])).
% 38.30/24.71 tff(12069,plain,
% 38.30/24.71 ((~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12068, 1304, 11939])).
% 38.30/24.71 tff(12070,plain,
% 38.30/24.71 (v123(constB100, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12069, 12065])).
% 38.30/24.71 tff(12071,plain,
% 38.30/24.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12072,plain,
% 38.30/24.71 ((v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0))) <=> (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12073,plain,
% 38.30/24.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100))))),
% 38.30/24.71 inference(monotonicity,[status(thm)],[12072])).
% 38.30/24.71 tff(12074,plain,
% 38.30/24.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 38.30/24.71 inference(transitivity,[status(thm)],[12073, 12071])).
% 38.30/24.71 tff(12075,plain,
% 38.30/24.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12076,plain,
% 38.30/24.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12075, 12074])).
% 38.30/24.71 tff(12077,plain,
% 38.30/24.71 (v84(constB100, bitIndex0) | (~v94(constB100))),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12076, 1319, 12070])).
% 38.30/24.71 tff(12078,plain,
% 38.30/24.71 (v84(constB100, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12077, 11973])).
% 38.30/24.71 tff(12079,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12080,plain,
% 38.30/24.71 (((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0)) <=> ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12081,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0)))),
% 38.30/24.71 inference(monotonicity,[status(thm)],[12080])).
% 38.30/24.71 tff(12082,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 38.30/24.71 inference(transitivity,[status(thm)],[12081, 12079])).
% 38.30/24.71 tff(12083,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12084,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12083, 12082])).
% 38.30/24.71 tff(12085,plain,
% 38.30/24.71 ((~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12084, 1337, 12004])).
% 38.30/24.71 tff(12086,plain,
% 38.30/24.71 ((~v84(constB100, bitIndex0)) | v84(constB101, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12085, 12016])).
% 38.30/24.71 tff(12087,plain,
% 38.30/24.71 (v84(constB101, bitIndex0)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12086, 12078])).
% 38.30/24.71 tff(12088,plain,
% 38.30/24.71 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12089,plain,
% 38.30/24.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12090,plain,
% 38.30/24.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12089, 12088])).
% 38.30/24.71 tff(12091,plain,
% 38.30/24.71 (v116(constB101)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12090, 1832, 12087, 12056, 12025])).
% 38.30/24.71 tff(12092,plain,
% 38.30/24.71 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB101)) | v124(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB101)) | v124(constB101, bitIndex2))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12093,plain,
% 38.30/24.71 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB101)) | v124(constB101, bitIndex2))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12094,plain,
% 38.30/24.71 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB101)) | v124(constB101, bitIndex2)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12093, 12092])).
% 38.30/24.71 tff(12095,plain,
% 38.30/24.71 (v124(constB101, bitIndex2)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12094, 1918, 12091])).
% 38.30/24.71 tff(12096,assumption,(v26(constB101)), introduced(assumption)).
% 38.30/24.71 tff(12097,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12098,plain,
% 38.30/24.71 ($false),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12097, 120, 12096])).
% 38.30/24.71 tff(12099,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 38.30/24.71 tff(12100,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB101) | (~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB101) | (~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12101,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB101) | (~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12102,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB101) | (~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12101, 12100])).
% 38.30/24.71 tff(12103,plain,
% 38.30/24.71 ((~v124(constB101, bitIndex2)) | v121(constB101, bitIndex2)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12102, 477, 12099])).
% 38.30/24.71 tff(12104,plain,
% 38.30/24.71 (v121(constB101, bitIndex2)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12103, 12095])).
% 38.30/24.71 tff(12105,plain,
% 38.30/24.71 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12106,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 38.30/24.71 tff(12107,plain,
% 38.30/24.71 (nextState(constB101, constB102)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12106, 12105])).
% 38.30/24.71 tff(12108,plain,
% 38.30/24.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12109,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12110,plain,
% 38.30/24.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2)),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12109, 12108])).
% 38.30/24.71 tff(12111,plain,
% 38.30/24.71 ((~v121(constB101, bitIndex2)) | v123(constB102, bitIndex2)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12110, 492, 12107])).
% 38.30/24.71 tff(12112,plain,
% 38.30/24.71 (v123(constB102, bitIndex2)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12111, 12104])).
% 38.30/24.71 tff(12113,assumption,(~v107(constB101)), introduced(assumption)).
% 38.30/24.71 tff(12114,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB101) | (~v108(constB101)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB101) | (~v108(constB101)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12115,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB101) | (~v108(constB101)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12116,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB101) | (~v108(constB101))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 38.30/24.71 tff(12117,plain,
% 38.30/24.71 (~v108(constB101)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12116, 336, 12113])).
% 38.30/24.71 tff(12118,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB101) | (~v109(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB101) | (~v109(constB101)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12119,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB101) | (~v109(constB101)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12120,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB101) | (~v109(constB101))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12119, 12118])).
% 38.30/24.71 tff(12121,plain,
% 38.30/24.71 (~v109(constB101)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12120, 325, 12117])).
% 38.30/24.71 tff(12122,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB101) | (~v110(constB101)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB101) | (~v110(constB101)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12123,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB101) | (~v110(constB101)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12124,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB101) | (~v110(constB101))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12123, 12122])).
% 38.30/24.71 tff(12125,plain,
% 38.30/24.71 (~v110(constB101)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12124, 314, 12121])).
% 38.30/24.71 tff(12126,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB101) | (~v116(constB101)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12127,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB101) | (~v116(constB101)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12128,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB101) | (~v116(constB101))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12127, 12126])).
% 38.30/24.71 tff(12129,plain,
% 38.30/24.71 (~v116(constB101)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12128, 1843, 12125])).
% 38.30/24.71 tff(12130,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB101) | (~v111(constB101)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB101) | (~v111(constB101)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12131,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB101) | (~v111(constB101)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12132,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB101) | (~v111(constB101))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12131, 12130])).
% 38.30/24.71 tff(12133,plain,
% 38.30/24.71 (~v111(constB101)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12132, 303, 12125])).
% 38.30/24.71 tff(12134,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB101) | (~v112(constB101)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12135,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB101) | (~v112(constB101)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12136,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB101) | (~v112(constB101))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12135, 12134])).
% 38.30/24.71 tff(12137,plain,
% 38.30/24.71 (~v112(constB101)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12136, 292, 12133])).
% 38.30/24.71 tff(12138,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB101) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB101) | (~v145(constB101)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12139,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB101) | (~v145(constB101)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12140,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB101) | (~v145(constB101))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 38.30/24.71 tff(12141,plain,
% 38.30/24.71 (~v145(constB101)),
% 38.30/24.71 inference(unit_resolution,[status(thm)],[12140, 1367, 12137])).
% 38.30/24.71 tff(12142,plain,
% 38.30/24.71 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB101) | (~v115(constB101)))),
% 38.30/24.71 inference(rewrite,[status(thm)],[])).
% 38.30/24.71 tff(12143,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB101) | (~v115(constB101)))),
% 38.30/24.71 inference(quant_inst,[status(thm)],[])).
% 38.30/24.71 tff(12144,plain,
% 38.30/24.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB101) | (~v115(constB101))),
% 38.30/24.71 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 38.30/24.71 tff(12145,plain,
% 38.30/24.72 (~v115(constB101)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12144, 1609, 12133])).
% 38.30/24.72 tff(12146,plain,
% 38.30/24.72 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB101) | (~v113(constB101)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12147,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB101) | (~v113(constB101)))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12148,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB101) | (~v113(constB101))),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 38.30/24.72 tff(12149,plain,
% 38.30/24.72 (~v113(constB101)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12148, 281, 12137])).
% 38.30/24.72 tff(12150,plain,
% 38.30/24.72 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB101) | (~v119(constB101)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB101) | (~v119(constB101)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12151,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB101) | (~v119(constB101)))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12152,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB101) | (~v119(constB101))),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12151, 12150])).
% 38.30/24.72 tff(12153,plain,
% 38.30/24.72 (~v119(constB101)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12152, 997, 12113])).
% 38.30/24.72 tff(12154,plain,
% 38.30/24.72 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB101) | (~v172(constB101)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB101) | (~v172(constB101)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12155,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB101) | (~v172(constB101)))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12156,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB101) | (~v172(constB101))),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 38.30/24.72 tff(12157,plain,
% 38.30/24.72 (~v172(constB101)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12156, 764, 12121])).
% 38.30/24.72 tff(12158,assumption,(~v84(constB101, bitIndex0)), introduced(assumption)).
% 38.30/24.72 tff(12159,assumption,(~v115(constB101)), introduced(assumption)).
% 38.30/24.72 tff(12160,assumption,(~v113(constB101)), introduced(assumption)).
% 38.30/24.72 tff(12161,assumption,(~v84(constB101, bitIndex2)), introduced(assumption)).
% 38.30/24.72 tff(12162,plain,
% 38.30/24.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12163,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12164,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101)),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 38.30/24.72 tff(12165,plain,
% 38.30/24.72 (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12164, 1598, 12159])).
% 38.30/24.72 tff(12166,plain,
% 38.30/24.72 (~v84(constB101, bitIndex1)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12165, 12161, 12158])).
% 38.30/24.72 tff(12167,plain,
% 38.30/24.72 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12168,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12169,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2)),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12168, 12167])).
% 38.30/24.72 tff(12170,plain,
% 38.30/24.72 (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12169, 270, 12160])).
% 38.30/24.72 tff(12171,plain,
% 38.30/24.72 ($false),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12170, 12166, 12161, 12158])).
% 38.30/24.72 tff(12172,plain,(v84(constB101, bitIndex2) | v84(constB101, bitIndex0) | v113(constB101) | v115(constB101)), inference(lemma,lemma(discharge,[]))).
% 38.30/24.72 tff(12173,plain,
% 38.30/24.72 (v84(constB101, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12172, 12158, 12160, 12159])).
% 38.30/24.72 tff(12174,assumption,(~v119(constB101)), introduced(assumption)).
% 38.30/24.72 tff(12175,plain,
% 38.30/24.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12176,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12177,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101)),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12176, 12175])).
% 38.30/24.72 tff(12178,plain,
% 38.30/24.72 (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2))),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12177, 986, 12174])).
% 38.30/24.72 tff(12179,plain,
% 38.30/24.72 (~v84(constB101, bitIndex1)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12178, 12173, 12158])).
% 38.30/24.72 tff(12180,assumption,(~v172(constB101)), introduced(assumption)).
% 38.30/24.72 tff(12181,plain,
% 38.30/24.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12182,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12183,plain,
% 38.30/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101)),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12182, 12181])).
% 38.30/24.72 tff(12184,plain,
% 38.30/24.72 (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2))),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12183, 710, 12180])).
% 38.30/24.72 tff(12185,plain,
% 38.30/24.72 ($false),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12184, 12179, 12173, 12158])).
% 38.30/24.72 tff(12186,plain,(v84(constB101, bitIndex0) | v172(constB101) | v119(constB101) | v113(constB101) | v115(constB101)), inference(lemma,lemma(discharge,[]))).
% 38.30/24.72 tff(12187,plain,
% 38.30/24.72 (v84(constB101, bitIndex0)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12186, 12157, 12153, 12149, 12145])).
% 38.30/24.72 tff(12188,assumption,(v84(constB101, bitIndex0)), introduced(assumption)).
% 38.30/24.72 tff(12189,assumption,(~v116(constB101)), introduced(assumption)).
% 38.30/24.72 tff(12190,plain,
% 38.30/24.72 ((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12090, 1832, 12189])).
% 38.30/24.72 tff(12191,plain,
% 38.30/24.72 (~v84(constB101, bitIndex1)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12190, 12161, 12188])).
% 38.30/24.72 tff(12192,assumption,(~v145(constB101)), introduced(assumption)).
% 38.30/24.72 tff(12193,plain,
% 38.30/24.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2) | v145(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2) | v145(constB101))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12194,plain,
% 38.30/24.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2) | v145(constB101))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12195,plain,
% 38.30/24.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2) | v145(constB101)),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 38.30/24.72 tff(12196,plain,
% 38.30/24.72 ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12195, 1356, 12192])).
% 38.30/24.72 tff(12197,plain,
% 38.30/24.72 ($false),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12196, 12191, 12161, 12188])).
% 38.30/24.72 tff(12198,plain,(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex0)) | v145(constB101) | v116(constB101)), inference(lemma,lemma(discharge,[]))).
% 38.30/24.72 tff(12199,plain,
% 38.30/24.72 (v84(constB101, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12198, 12187, 12141, 12129])).
% 38.30/24.72 tff(12200,plain,
% 38.30/24.72 (v84(constB100, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12024, 12199])).
% 38.30/24.72 tff(12201,assumption,(~v84(constB99, bitIndex0)), introduced(assumption)).
% 38.30/24.72 tff(12202,plain,
% 38.30/24.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12203,plain,
% 38.30/24.72 (((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0))) <=> (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12204,plain,
% 38.30/24.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0))))),
% 38.30/24.72 inference(monotonicity,[status(thm)],[12203])).
% 38.30/24.72 tff(12205,plain,
% 38.30/24.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 38.30/24.72 inference(transitivity,[status(thm)],[12204, 12202])).
% 38.30/24.72 tff(12206,plain,
% 38.30/24.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12207,plain,
% 38.30/24.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0))),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12206, 12205])).
% 38.30/24.72 tff(12208,plain,
% 38.30/24.72 (v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0))),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12207, 249, 12004])).
% 38.30/24.72 tff(12209,plain,
% 38.30/24.72 (v84(constB100, bitIndex0) | (~v84(constB101, bitIndex0))),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12208, 12016])).
% 38.30/24.72 tff(12210,plain,
% 38.30/24.72 (v84(constB100, bitIndex0)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12209, 12187])).
% 38.30/24.72 tff(12211,plain,
% 38.30/24.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12212,plain,
% 38.30/24.72 (((~nextState(constB99, constB100)) | v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0))) <=> (v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12213,plain,
% 38.30/24.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0))))),
% 38.30/24.72 inference(monotonicity,[status(thm)],[12212])).
% 38.30/24.72 tff(12214,plain,
% 38.30/24.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0)))),
% 38.30/24.72 inference(transitivity,[status(thm)],[12213, 12211])).
% 38.30/24.72 tff(12215,plain,
% 38.30/24.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0)))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12216,plain,
% 38.30/24.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB99, bitIndex0) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex0))),
% 38.30/24.72 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 38.30/24.72 tff(12217,plain,
% 38.30/24.72 (v84(constB99, bitIndex0) | v94(constB100) | (~v84(constB100, bitIndex0))),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12216, 249, 11939])).
% 38.30/24.72 tff(12218,plain,
% 38.30/24.72 (v94(constB100)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12217, 12210, 12201])).
% 38.30/24.72 tff(12219,plain,
% 38.30/24.72 ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[11996, 1180, 12218])).
% 38.30/24.72 tff(12220,plain,
% 38.30/24.72 (v123(constB100, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[12219, 12200])).
% 38.30/24.72 tff(12221,plain,
% 38.30/24.72 (v121(constB99, bitIndex2)),
% 38.30/24.72 inference(unit_resolution,[status(thm)],[11989, 12220])).
% 38.30/24.72 tff(12222,plain,
% 38.30/24.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12223,plain,
% 38.30/24.72 (((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0)) <=> ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 38.30/24.72 inference(rewrite,[status(thm)],[])).
% 38.30/24.72 tff(12224,plain,
% 38.30/24.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100))))),
% 38.30/24.72 inference(monotonicity,[status(thm)],[12223])).
% 38.30/24.72 tff(12225,plain,
% 38.30/24.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 38.30/24.72 inference(transitivity,[status(thm)],[12224, 12222])).
% 38.30/24.72 tff(12226,plain,
% 38.30/24.72 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))),
% 38.30/24.72 inference(quant_inst,[status(thm)],[])).
% 38.30/24.72 tff(12227,plain,
% 38.33/24.72 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100))),
% 38.33/24.72 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 38.33/24.72 tff(12228,plain,
% 38.33/24.72 (v123(constB100, bitIndex0)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12227, 683, 12218, 12210])).
% 38.33/24.72 tff(12229,plain,
% 38.33/24.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))),
% 38.33/24.72 inference(rewrite,[status(thm)],[])).
% 38.33/24.72 tff(12230,plain,
% 38.33/24.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))),
% 38.33/24.72 inference(quant_inst,[status(thm)],[])).
% 38.33/24.72 tff(12231,plain,
% 38.33/24.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0))),
% 38.33/24.72 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 38.33/24.72 tff(12232,plain,
% 38.33/24.72 (v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0))),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12231, 668, 11939])).
% 38.33/24.72 tff(12233,plain,
% 38.33/24.72 (v121(constB99, bitIndex0)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12232, 12228])).
% 38.33/24.72 tff(12234,plain,
% 38.33/24.72 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB99)) | (~v121(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB99)) | (~v121(constB99, bitIndex0)))),
% 38.33/24.72 inference(rewrite,[status(thm)],[])).
% 38.33/24.72 tff(12235,plain,
% 38.33/24.72 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB99)) | (~v121(constB99, bitIndex0)))),
% 38.33/24.72 inference(quant_inst,[status(thm)],[])).
% 38.33/24.72 tff(12236,plain,
% 38.33/24.72 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB99)) | (~v121(constB99, bitIndex0))),
% 38.33/24.72 inference(modus_ponens,[status(thm)],[12235, 12234])).
% 38.33/24.72 tff(12237,plain,
% 38.33/24.72 (~v26(constB99)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12236, 2233, 12233])).
% 38.33/24.72 tff(12238,plain,
% 38.33/24.72 ((~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[11983, 1147, 12237])).
% 38.33/24.72 tff(12239,plain,
% 38.33/24.72 (v124(constB99, bitIndex2)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12238, 12221])).
% 38.33/24.72 tff(12240,plain,
% 38.33/24.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 38.33/24.72 inference(rewrite,[status(thm)],[])).
% 38.33/24.72 tff(12241,plain,
% 38.33/24.72 ((v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0))) <=> ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 38.33/24.72 inference(rewrite,[status(thm)],[])).
% 38.33/24.72 tff(12242,plain,
% 38.33/24.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0)))),
% 38.33/24.72 inference(monotonicity,[status(thm)],[12241])).
% 38.33/24.72 tff(12243,plain,
% 38.33/24.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 38.33/24.72 inference(transitivity,[status(thm)],[12242, 12240])).
% 38.33/24.72 tff(12244,plain,
% 38.33/24.72 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))),
% 38.33/24.72 inference(quant_inst,[status(thm)],[])).
% 38.33/24.72 tff(12245,plain,
% 38.33/24.72 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0)),
% 38.33/24.72 inference(modus_ponens,[status(thm)],[12244, 12243])).
% 38.33/24.72 tff(12246,plain,
% 38.33/24.72 (v124(constB99, bitIndex0)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12245, 650, 12233, 12237])).
% 38.33/24.72 tff(12247,plain,
% 38.33/24.72 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB99)) | (~v124(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB99)) | (~v124(constB99, bitIndex0)))),
% 38.33/24.72 inference(rewrite,[status(thm)],[])).
% 38.33/24.72 tff(12248,plain,
% 38.33/24.72 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v113(constB99)) | (~v124(constB99, bitIndex0)))),
% 38.33/24.72 inference(quant_inst,[status(thm)],[])).
% 38.33/24.72 tff(12249,plain,
% 38.33/24.72 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v113(constB99)) | (~v124(constB99, bitIndex0))),
% 38.33/24.72 inference(modus_ponens,[status(thm)],[12248, 12247])).
% 38.33/24.72 tff(12250,plain,
% 38.33/24.72 (~v113(constB99)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12249, 636, 12246])).
% 38.33/24.72 tff(12251,plain,
% 38.33/24.72 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB99)) | (~v124(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB99)) | (~v124(constB99, bitIndex0)))),
% 38.33/24.72 inference(rewrite,[status(thm)],[])).
% 38.33/24.72 tff(12252,plain,
% 38.33/24.72 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB99)) | (~v124(constB99, bitIndex0)))),
% 38.33/24.72 inference(quant_inst,[status(thm)],[])).
% 38.33/24.72 tff(12253,plain,
% 38.33/24.72 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB99)) | (~v124(constB99, bitIndex0))),
% 38.33/24.72 inference(modus_ponens,[status(thm)],[12252, 12251])).
% 38.33/24.72 tff(12254,plain,
% 38.33/24.72 (~v172(constB99)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12253, 942, 12246])).
% 38.33/24.72 tff(12255,plain,
% 38.33/24.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB99, bitIndex0) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB99, bitIndex0) | (~v116(constB99)))),
% 38.33/24.72 inference(rewrite,[status(thm)],[])).
% 38.33/24.72 tff(12256,plain,
% 38.33/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB99, bitIndex0) | (~v116(constB99)))),
% 38.33/24.72 inference(quant_inst,[status(thm)],[])).
% 38.33/24.72 tff(12257,plain,
% 38.33/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB99, bitIndex0) | (~v116(constB99))),
% 38.33/24.72 inference(modus_ponens,[status(thm)],[12256, 12255])).
% 38.33/24.72 tff(12258,plain,
% 38.33/24.72 (~v116(constB99)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12257, 2335, 12201])).
% 38.33/24.72 tff(12259,plain,
% 38.33/24.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB99, bitIndex0) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB99, bitIndex0) | (~v118(constB99)))),
% 38.33/24.72 inference(rewrite,[status(thm)],[])).
% 38.33/24.72 tff(12260,plain,
% 38.33/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB99, bitIndex0) | (~v118(constB99)))),
% 38.33/24.72 inference(quant_inst,[status(thm)],[])).
% 38.33/24.72 tff(12261,plain,
% 38.33/24.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB99, bitIndex0) | (~v118(constB99))),
% 38.33/24.72 inference(modus_ponens,[status(thm)],[12260, 12259])).
% 38.33/24.72 tff(12262,plain,
% 38.33/24.72 (~v118(constB99)),
% 38.33/24.72 inference(unit_resolution,[status(thm)],[12261, 2346, 12201])).
% 38.33/24.72 tff(12263,plain,
% 38.33/24.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB99, bitIndex0) | (~v145(constB99)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB99, bitIndex0) | (~v145(constB99)))),
% 38.33/24.73 inference(rewrite,[status(thm)],[])).
% 38.33/24.73 tff(12264,plain,
% 38.33/24.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB99, bitIndex0) | (~v145(constB99)))),
% 38.33/24.73 inference(quant_inst,[status(thm)],[])).
% 38.33/24.73 tff(12265,plain,
% 38.33/24.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB99, bitIndex0) | (~v145(constB99))),
% 38.33/24.73 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 38.33/24.73 tff(12266,plain,
% 38.33/24.73 (~v145(constB99)),
% 38.33/24.73 inference(unit_resolution,[status(thm)],[12265, 2357, 12201])).
% 38.33/24.73 tff(12267,plain,
% 38.33/24.73 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | (~v124(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | (~v124(constB99, bitIndex2)))),
% 38.33/24.73 inference(rewrite,[status(thm)],[])).
% 38.33/24.73 tff(12268,plain,
% 38.33/24.73 ((v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~v124(constB99, bitIndex2))) <=> (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | (~v124(constB99, bitIndex2)))),
% 38.33/24.73 inference(rewrite,[status(thm)],[])).
% 38.33/24.73 tff(12269,plain,
% 38.33/24.73 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~v124(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | (~v124(constB99, bitIndex2))))),
% 38.33/24.73 inference(monotonicity,[status(thm)],[12268])).
% 38.33/24.73 tff(12270,plain,
% 38.33/24.73 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~v124(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | (~v124(constB99, bitIndex2)))),
% 38.33/24.73 inference(transitivity,[status(thm)],[12269, 12267])).
% 38.33/24.73 tff(12271,plain,
% 38.33/24.73 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~v124(constB99, bitIndex2)))),
% 38.33/24.73 inference(quant_inst,[status(thm)],[])).
% 38.33/24.73 tff(12272,plain,
% 38.33/24.73 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | (~v124(constB99, bitIndex2))),
% 38.33/24.73 inference(modus_ponens,[status(thm)],[12271, 12270])).
% 38.33/24.73 tff(12273,plain,
% 38.33/24.73 (v172(constB99) | v115(constB99) | v113(constB99) | (~v124(constB99, bitIndex2))),
% 38.33/24.73 inference(unit_resolution,[status(thm)],[12272, 1130, 12266, 12262, 12258])).
% 38.33/24.73 tff(12274,plain,
% 38.33/24.73 (v115(constB99)),
% 38.33/24.73 inference(unit_resolution,[status(thm)],[12273, 12239, 12254, 12250])).
% 38.33/24.73 tff(12275,plain,
% 38.33/24.73 ($false),
% 38.33/24.73 inference(unit_resolution,[status(thm)],[11976, 1688, 12274, 12239])).
% 38.33/24.73 tff(12276,plain,(v107(constB101) | v84(constB99, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.33/24.73 tff(12277,plain,
% 38.33/24.73 (v107(constB101)),
% 38.33/24.73 inference(unit_resolution,[status(thm)],[12276, 11896])).
% 38.33/24.73 tff(12278,plain,
% 38.33/24.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 38.33/24.73 inference(rewrite,[status(thm)],[])).
% 38.33/24.73 tff(12279,plain,
% 38.33/24.73 ((v26(constB101) | (~v107(constB101)) | v106(constB101)) <=> (v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 38.33/24.73 inference(rewrite,[status(thm)],[])).
% 38.33/24.73 tff(12280,plain,
% 38.33/24.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101))))),
% 38.33/24.73 inference(monotonicity,[status(thm)],[12279])).
% 38.33/24.73 tff(12281,plain,
% 38.33/24.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 38.33/24.73 inference(transitivity,[status(thm)],[12280, 12278])).
% 38.33/24.73 tff(12282,plain,
% 38.33/24.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))),
% 38.33/24.73 inference(quant_inst,[status(thm)],[])).
% 38.33/24.73 tff(12283,plain,
% 38.33/24.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101))),
% 38.33/24.73 inference(modus_ponens,[status(thm)],[12282, 12281])).
% 38.33/24.73 tff(12284,plain,
% 38.33/24.73 (v106(constB101) | (~v107(constB101))),
% 38.33/24.73 inference(unit_resolution,[status(thm)],[12283, 350, 12099])).
% 38.33/24.73 tff(12285,plain,
% 38.33/24.73 (v106(constB101)),
% 38.33/24.73 inference(unit_resolution,[status(thm)],[12284, 12277])).
% 38.33/24.73 tff(12286,plain,
% 38.33/24.73 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB101) | (~v106(constB101)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB101) | (~v106(constB101)))),
% 38.33/24.73 inference(rewrite,[status(thm)],[])).
% 38.33/24.73 tff(12287,plain,
% 38.33/24.73 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB101) | (~v106(constB101)))),
% 38.33/24.73 inference(quant_inst,[status(thm)],[])).
% 38.33/24.73 tff(12288,plain,
% 38.33/24.73 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB101) | (~v106(constB101))),
% 38.33/24.73 inference(modus_ponens,[status(thm)],[12287, 12286])).
% 38.33/24.73 tff(12289,plain,
% 38.33/24.73 (v102(constB101)),
% 38.33/24.73 inference(unit_resolution,[status(thm)],[12288, 362, 12285])).
% 38.33/24.73 tff(12290,plain,
% 38.33/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 38.33/24.73 inference(rewrite,[status(thm)],[])).
% 38.33/24.73 tff(12291,plain,
% 38.33/24.73 (((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 38.33/24.73 inference(rewrite,[status(thm)],[])).
% 38.33/24.73 tff(12292,plain,
% 38.33/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))))),
% 38.33/24.73 inference(monotonicity,[status(thm)],[12291])).
% 38.33/24.73 tff(12293,plain,
% 38.33/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 38.34/24.73 inference(transitivity,[status(thm)],[12292, 12290])).
% 38.34/24.73 tff(12294,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12295,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 38.34/24.73 tff(12296,plain,
% 38.34/24.73 (v104(constB102) | (~v102(constB101))),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12295, 379, 12107])).
% 38.34/24.73 tff(12297,plain,
% 38.34/24.73 (v104(constB102)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12296, 12289])).
% 38.34/24.73 tff(12298,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12299,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12300,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102))),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12299, 12298])).
% 38.34/24.73 tff(12301,plain,
% 38.34/24.73 (~v98(constB102)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12300, 397, 12107, 12001])).
% 38.34/24.73 tff(12302,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12303,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12304,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102)),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 38.34/24.73 tff(12305,plain,
% 38.34/24.73 (v96(constB102) | v98(constB102)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12304, 411, 12107])).
% 38.34/24.73 tff(12306,plain,
% 38.34/24.73 (v96(constB102)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12305, 12301])).
% 38.34/24.73 tff(12307,plain,
% 38.34/24.73 (v1(constB102) <=> v1(constB102)),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12308,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 38.34/24.73 tff(12309,plain,
% 38.34/24.73 (v1(constB102)),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12308, 12307])).
% 38.34/24.73 tff(12310,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12311,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12312,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102))),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12311, 12310])).
% 38.34/24.73 tff(12313,plain,
% 38.34/24.73 (v95(constB102) | (~v96(constB102))),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12312, 429, 12107, 12309])).
% 38.34/24.73 tff(12314,plain,
% 38.34/24.73 (v95(constB102)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12313, 12306])).
% 38.34/24.73 tff(12315,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12316,plain,
% 38.34/24.73 (((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102)) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12317,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102))))),
% 38.34/24.73 inference(monotonicity,[status(thm)],[12316])).
% 38.34/24.73 tff(12318,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 38.34/24.73 inference(transitivity,[status(thm)],[12317, 12315])).
% 38.34/24.73 tff(12319,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12320,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102))),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12319, 12318])).
% 38.34/24.73 tff(12321,plain,
% 38.34/24.73 (v94(constB102) | (~v95(constB102)) | (~v104(constB102))),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12320, 444, 12107])).
% 38.34/24.73 tff(12322,plain,
% 38.34/24.73 (v94(constB102) | (~v104(constB102))),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12321, 12314])).
% 38.34/24.73 tff(12323,plain,
% 38.34/24.73 (v94(constB102)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12322, 12297])).
% 38.34/24.73 tff(12324,plain,
% 38.34/24.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12325,plain,
% 38.34/24.73 ((v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2))) <=> (v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12326,plain,
% 38.34/24.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102))))),
% 38.34/24.73 inference(monotonicity,[status(thm)],[12325])).
% 38.34/24.73 tff(12327,plain,
% 38.34/24.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102)))),
% 38.34/24.73 inference(transitivity,[status(thm)],[12326, 12324])).
% 38.34/24.73 tff(12328,plain,
% 38.34/24.73 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2)))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12329,plain,
% 38.34/24.73 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)) | (~v94(constB102))),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12328, 12327])).
% 38.34/24.73 tff(12330,plain,
% 38.34/24.73 (v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2))),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12329, 507, 12323])).
% 38.34/24.73 tff(12331,plain,
% 38.34/24.73 (v84(constB102, bitIndex2)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12330, 12112])).
% 38.34/24.73 tff(12332,plain,
% 38.34/24.73 ((~v1(constB103)) <=> (~v1(constB103))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12333,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 38.34/24.73 tff(12334,plain,
% 38.34/24.73 (~v1(constB103)),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12333, 12332])).
% 38.34/24.73 tff(12335,plain,
% 38.34/24.73 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12336,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 38.34/24.73 tff(12337,plain,
% 38.34/24.73 (nextState(constB102, constB103)),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12336, 12335])).
% 38.34/24.73 tff(12338,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12339,plain,
% 38.34/24.73 (((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12340,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))))),
% 38.34/24.73 inference(monotonicity,[status(thm)],[12339])).
% 38.34/24.73 tff(12341,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 38.34/24.73 inference(transitivity,[status(thm)],[12340, 12338])).
% 38.34/24.73 tff(12342,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12343,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 38.34/24.73 tff(12344,plain,
% 38.34/24.73 (~v95(constB103)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12343, 175, 12337, 12334])).
% 38.34/24.73 tff(12345,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12346,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12347,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103))),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 38.34/24.73 tff(12348,plain,
% 38.34/24.73 (v95(constB103) | (~v94(constB103))),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12347, 192, 12337])).
% 38.34/24.73 tff(12349,plain,
% 38.34/24.73 (~v94(constB103)),
% 38.34/24.73 inference(unit_resolution,[status(thm)],[12348, 12344])).
% 38.34/24.73 tff(12350,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12351,plain,
% 38.34/24.73 (((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2)) <=> ((~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2))),
% 38.34/24.73 inference(rewrite,[status(thm)],[])).
% 38.34/24.73 tff(12352,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2)))),
% 38.34/24.73 inference(monotonicity,[status(thm)],[12351])).
% 38.34/24.73 tff(12353,plain,
% 38.34/24.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2))),
% 38.34/24.73 inference(transitivity,[status(thm)],[12352, 12350])).
% 38.34/24.73 tff(12354,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2))),
% 38.34/24.73 inference(quant_inst,[status(thm)],[])).
% 38.34/24.73 tff(12355,plain,
% 38.34/24.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex2)),
% 38.34/24.73 inference(modus_ponens,[status(thm)],[12354, 12353])).
% 38.34/24.73 tff(12356,plain,
% 38.34/24.74 ((~v84(constB102, bitIndex2)) | v94(constB103) | v84(constB103, bitIndex2)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12355, 543, 12337])).
% 38.34/24.74 tff(12357,plain,
% 38.34/24.74 ((~v84(constB102, bitIndex2)) | v84(constB103, bitIndex2)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12356, 12349])).
% 38.34/24.74 tff(12358,plain,
% 38.34/24.74 (v84(constB103, bitIndex2)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12357, 12331])).
% 38.34/24.74 tff(12359,plain,
% 38.34/24.74 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB101)) | (~v124(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB101)) | (~v124(constB101, bitIndex1)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12360,plain,
% 38.34/24.74 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB101)) | (~v124(constB101, bitIndex1)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12361,plain,
% 38.34/24.74 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB101)) | (~v124(constB101, bitIndex1))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12360, 12359])).
% 38.34/24.74 tff(12362,plain,
% 38.34/24.74 (~v124(constB101, bitIndex1)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12361, 1977, 12091])).
% 38.34/24.74 tff(12363,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12364,plain,
% 38.34/24.74 ((v26(constB101) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1))) <=> ((~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12365,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB101) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1)))),
% 38.34/24.74 inference(monotonicity,[status(thm)],[12364])).
% 38.34/24.74 tff(12366,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB101) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1))),
% 38.34/24.74 inference(transitivity,[status(thm)],[12365, 12363])).
% 38.34/24.74 tff(12367,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB101) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12368,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB101, bitIndex1)) | v26(constB101) | v124(constB101, bitIndex1)),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12367, 12366])).
% 38.34/24.74 tff(12369,plain,
% 38.34/24.74 ((~v121(constB101, bitIndex1)) | v124(constB101, bitIndex1)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12368, 576, 12099])).
% 38.34/24.74 tff(12370,plain,
% 38.34/24.74 (~v121(constB101, bitIndex1)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12369, 12362])).
% 38.34/24.74 tff(12371,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12372,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12373,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12372, 12371])).
% 38.34/24.74 tff(12374,plain,
% 38.34/24.74 (v121(constB101, bitIndex1) | (~v123(constB102, bitIndex1))),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12373, 594, 12107])).
% 38.34/24.74 tff(12375,plain,
% 38.34/24.74 (~v123(constB102, bitIndex1)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12374, 12370])).
% 38.34/24.74 tff(12376,plain,
% 38.34/24.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12377,plain,
% 38.34/24.74 (((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1)) <=> ((~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12378,plain,
% 38.34/24.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102))))),
% 38.34/24.74 inference(monotonicity,[status(thm)],[12377])).
% 38.34/24.74 tff(12379,plain,
% 38.34/24.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102)))),
% 38.34/24.74 inference(transitivity,[status(thm)],[12378, 12376])).
% 38.34/24.74 tff(12380,plain,
% 38.34/24.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12381,plain,
% 38.34/24.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1) | (~v94(constB102))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12380, 12379])).
% 38.34/24.74 tff(12382,plain,
% 38.34/24.74 ((~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12381, 609, 12323])).
% 38.34/24.74 tff(12383,plain,
% 38.34/24.74 (~v84(constB102, bitIndex1)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12382, 12375])).
% 38.34/24.74 tff(12384,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12385,plain,
% 38.34/24.74 (((~nextState(constB102, constB103)) | v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1))) <=> (v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12386,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1))))),
% 38.34/24.74 inference(monotonicity,[status(thm)],[12385])).
% 38.34/24.74 tff(12387,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1)))),
% 38.34/24.74 inference(transitivity,[status(thm)],[12386, 12384])).
% 38.34/24.74 tff(12388,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12389,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex1))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 38.34/24.74 tff(12390,plain,
% 38.34/24.74 (v84(constB102, bitIndex1) | v94(constB103) | (~v84(constB103, bitIndex1))),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12389, 228, 12337])).
% 38.34/24.74 tff(12391,plain,
% 38.34/24.74 (v84(constB102, bitIndex1) | (~v84(constB103, bitIndex1))),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12390, 12349])).
% 38.34/24.74 tff(12392,plain,
% 38.34/24.74 (~v84(constB103, bitIndex1)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12391, 12383])).
% 38.34/24.74 tff(12393,plain,
% 38.34/24.74 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB101)) | (~v124(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB101)) | (~v124(constB101, bitIndex0)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12394,plain,
% 38.34/24.74 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB101)) | (~v124(constB101, bitIndex0)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12395,plain,
% 38.34/24.74 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB101)) | (~v124(constB101, bitIndex0))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12394, 12393])).
% 38.34/24.74 tff(12396,plain,
% 38.34/24.74 (~v124(constB101, bitIndex0)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12395, 2021, 12091])).
% 38.34/24.74 tff(12397,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12398,plain,
% 38.34/24.74 ((v26(constB101) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0))) <=> ((~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12399,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB101) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0)))),
% 38.34/24.74 inference(monotonicity,[status(thm)],[12398])).
% 38.34/24.74 tff(12400,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB101) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0))),
% 38.34/24.74 inference(transitivity,[status(thm)],[12399, 12397])).
% 38.34/24.74 tff(12401,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB101) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12402,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB101, bitIndex0)) | v26(constB101) | v124(constB101, bitIndex0)),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12401, 12400])).
% 38.34/24.74 tff(12403,plain,
% 38.34/24.74 ((~v121(constB101, bitIndex0)) | v124(constB101, bitIndex0)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12402, 650, 12099])).
% 38.34/24.74 tff(12404,plain,
% 38.34/24.74 (~v121(constB101, bitIndex0)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12403, 12396])).
% 38.34/24.74 tff(12405,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12406,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12407,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 38.34/24.74 tff(12408,plain,
% 38.34/24.74 (v121(constB101, bitIndex0) | (~v123(constB102, bitIndex0))),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12407, 668, 12107])).
% 38.34/24.74 tff(12409,plain,
% 38.34/24.74 (~v123(constB102, bitIndex0)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12408, 12404])).
% 38.34/24.74 tff(12410,plain,
% 38.34/24.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12411,plain,
% 38.34/24.74 (((~v84(constB102, bitIndex0)) | (~v94(constB102)) | v123(constB102, bitIndex0)) <=> ((~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12412,plain,
% 38.34/24.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~v94(constB102)) | v123(constB102, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102))))),
% 38.34/24.74 inference(monotonicity,[status(thm)],[12411])).
% 38.34/24.74 tff(12413,plain,
% 38.34/24.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~v94(constB102)) | v123(constB102, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102)))),
% 38.34/24.74 inference(transitivity,[status(thm)],[12412, 12410])).
% 38.34/24.74 tff(12414,plain,
% 38.34/24.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~v94(constB102)) | v123(constB102, bitIndex0))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12415,plain,
% 38.34/24.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0) | (~v94(constB102))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 38.34/24.74 tff(12416,plain,
% 38.34/24.74 ((~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12415, 683, 12323])).
% 38.34/24.74 tff(12417,plain,
% 38.34/24.74 (~v84(constB102, bitIndex0)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12416, 12409])).
% 38.34/24.74 tff(12418,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12419,plain,
% 38.34/24.74 (((~nextState(constB102, constB103)) | v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0))) <=> (v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12420,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0))))),
% 38.34/24.74 inference(monotonicity,[status(thm)],[12419])).
% 38.34/24.74 tff(12421,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0)))),
% 38.34/24.74 inference(transitivity,[status(thm)],[12420, 12418])).
% 38.34/24.74 tff(12422,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12423,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex0))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 38.34/24.74 tff(12424,plain,
% 38.34/24.74 (v84(constB102, bitIndex0) | v94(constB103) | (~v84(constB103, bitIndex0))),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12423, 249, 12337])).
% 38.34/24.74 tff(12425,plain,
% 38.34/24.74 (v84(constB102, bitIndex0) | (~v84(constB103, bitIndex0))),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12424, 12349])).
% 38.34/24.74 tff(12426,plain,
% 38.34/24.74 (~v84(constB103, bitIndex0)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12425, 12417])).
% 38.34/24.74 tff(12427,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12428,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12429,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103)),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12428, 12427])).
% 38.34/24.74 tff(12430,plain,
% 38.34/24.74 (v172(constB103)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12429, 710, 12426, 12392, 12358])).
% 38.34/24.74 tff(12431,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB103) | (~v172(constB103)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB103) | (~v172(constB103)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12432,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB103) | (~v172(constB103)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12433,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB103) | (~v172(constB103))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 38.34/24.74 tff(12434,plain,
% 38.34/24.74 (v109(constB103)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12433, 764, 12430])).
% 38.34/24.74 tff(12435,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB103) | (~v109(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB103) | (~v109(constB103)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12436,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB103) | (~v109(constB103)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12437,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB103) | (~v109(constB103))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12436, 12435])).
% 38.34/24.74 tff(12438,plain,
% 38.34/24.74 (v108(constB103)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12437, 325, 12434])).
% 38.34/24.74 tff(12439,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB103) | (~v108(constB103)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB103) | (~v108(constB103)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12440,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB103) | (~v108(constB103)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12441,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB103) | (~v108(constB103))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12440, 12439])).
% 38.34/24.74 tff(12442,plain,
% 38.34/24.74 (v107(constB103)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12441, 336, 12438])).
% 38.34/24.74 tff(12443,assumption,(v26(constB103)), introduced(assumption)).
% 38.34/24.74 tff(12444,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12445,plain,
% 38.34/24.74 ($false),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12444, 120, 12443])).
% 38.34/24.74 tff(12446,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 38.34/24.74 tff(12447,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12448,plain,
% 38.34/24.74 ((v26(constB103) | (~v107(constB103)) | v106(constB103)) <=> (v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12449,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103))))),
% 38.34/24.74 inference(monotonicity,[status(thm)],[12448])).
% 38.34/24.74 tff(12450,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 38.34/24.74 inference(transitivity,[status(thm)],[12449, 12447])).
% 38.34/24.74 tff(12451,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12452,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12451, 12450])).
% 38.34/24.74 tff(12453,plain,
% 38.34/24.74 (v106(constB103) | (~v107(constB103))),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12452, 350, 12446])).
% 38.34/24.74 tff(12454,plain,
% 38.34/24.74 (v106(constB103)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12453, 12442])).
% 38.34/24.74 tff(12455,plain,
% 38.34/24.74 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB103) | (~v106(constB103)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB103) | (~v106(constB103)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12456,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB103) | (~v106(constB103)))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12457,plain,
% 38.34/24.74 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB103) | (~v106(constB103))),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 38.34/24.74 tff(12458,plain,
% 38.34/24.74 (v102(constB103)),
% 38.34/24.74 inference(unit_resolution,[status(thm)],[12457, 362, 12454])).
% 38.34/24.74 tff(12459,plain,
% 38.34/24.74 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12460,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 38.34/24.74 tff(12461,plain,
% 38.34/24.74 (nextState(constB103, constB104)),
% 38.34/24.74 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 38.34/24.74 tff(12462,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12463,plain,
% 38.34/24.74 (((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 38.34/24.74 inference(rewrite,[status(thm)],[])).
% 38.34/24.74 tff(12464,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))))),
% 38.34/24.74 inference(monotonicity,[status(thm)],[12463])).
% 38.34/24.74 tff(12465,plain,
% 38.34/24.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 38.34/24.74 inference(transitivity,[status(thm)],[12464, 12462])).
% 38.34/24.74 tff(12466,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))),
% 38.34/24.74 inference(quant_inst,[status(thm)],[])).
% 38.34/24.74 tff(12467,plain,
% 38.34/24.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 38.34/24.75 tff(12468,plain,
% 38.34/24.75 (v104(constB104) | (~v102(constB103))),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12467, 379, 12461])).
% 38.34/24.75 tff(12469,plain,
% 38.34/24.75 (v104(constB104)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12468, 12458])).
% 38.34/24.75 tff(12470,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12471,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12472,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104))),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12471, 12470])).
% 38.34/24.75 tff(12473,plain,
% 38.34/24.75 (~v98(constB104)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12472, 397, 12461, 12334])).
% 38.34/24.75 tff(12474,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12475,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12476,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12475, 12474])).
% 38.34/24.75 tff(12477,plain,
% 38.34/24.75 (v96(constB104) | v98(constB104)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12476, 411, 12461])).
% 38.34/24.75 tff(12478,plain,
% 38.34/24.75 (v96(constB104)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12477, 12473])).
% 38.34/24.75 tff(12479,plain,
% 38.34/24.75 (v1(constB104) <=> v1(constB104)),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12480,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 38.34/24.75 tff(12481,plain,
% 38.34/24.75 (v1(constB104)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 38.34/24.75 tff(12482,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12483,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12484,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104))),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12483, 12482])).
% 38.34/24.75 tff(12485,plain,
% 38.34/24.75 (v95(constB104) | (~v96(constB104))),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12484, 429, 12461, 12481])).
% 38.34/24.75 tff(12486,plain,
% 38.34/24.75 (v95(constB104)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12485, 12478])).
% 38.34/24.75 tff(12487,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12488,plain,
% 38.34/24.75 (((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104)) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12489,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104))))),
% 38.34/24.75 inference(monotonicity,[status(thm)],[12488])).
% 38.34/24.75 tff(12490,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 38.34/24.75 inference(transitivity,[status(thm)],[12489, 12487])).
% 38.34/24.75 tff(12491,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12492,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104))),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 38.34/24.75 tff(12493,plain,
% 38.34/24.75 (v94(constB104) | (~v95(constB104)) | (~v104(constB104))),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12492, 444, 12461])).
% 38.34/24.75 tff(12494,plain,
% 38.34/24.75 (v94(constB104) | (~v104(constB104))),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12493, 12486])).
% 38.34/24.75 tff(12495,plain,
% 38.34/24.75 (v94(constB104)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12494, 12469])).
% 38.34/24.75 tff(12496,plain,
% 38.34/24.75 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB103)) | v124(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB103)) | v124(constB103, bitIndex2))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12497,plain,
% 38.34/24.75 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB103)) | v124(constB103, bitIndex2))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12498,plain,
% 38.34/24.75 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB103)) | v124(constB103, bitIndex2)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 38.34/24.75 tff(12499,plain,
% 38.34/24.75 (v124(constB103, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12498, 724, 12430])).
% 38.34/24.75 tff(12500,plain,
% 38.34/24.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12501,plain,
% 38.34/24.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12502,plain,
% 38.34/24.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12501, 12500])).
% 38.34/24.75 tff(12503,plain,
% 38.34/24.75 ((~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12502, 477, 12446])).
% 38.34/24.75 tff(12504,plain,
% 38.34/24.75 (v121(constB103, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12503, 12499])).
% 38.34/24.75 tff(12505,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12506,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12507,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12506, 12505])).
% 38.34/24.75 tff(12508,plain,
% 38.34/24.75 ((~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12507, 492, 12461])).
% 38.34/24.75 tff(12509,plain,
% 38.34/24.75 (v123(constB104, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12508, 12504])).
% 38.34/24.75 tff(12510,plain,
% 38.34/24.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12511,plain,
% 38.34/24.75 ((v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2))) <=> (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12512,plain,
% 38.34/24.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104))))),
% 38.34/24.75 inference(monotonicity,[status(thm)],[12511])).
% 38.34/24.75 tff(12513,plain,
% 38.34/24.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 38.34/24.75 inference(transitivity,[status(thm)],[12512, 12510])).
% 38.34/24.75 tff(12514,plain,
% 38.34/24.75 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12515,plain,
% 38.34/24.75 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104))),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12514, 12513])).
% 38.34/24.75 tff(12516,plain,
% 38.34/24.75 (v84(constB104, bitIndex2) | (~v94(constB104))),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12515, 507, 12509])).
% 38.34/24.75 tff(12517,plain,
% 38.34/24.75 (v84(constB104, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12516, 12495])).
% 38.34/24.75 tff(12518,plain,
% 38.34/24.75 ((~v1(constB105)) <=> (~v1(constB105))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12519,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 38.34/24.75 tff(12520,plain,
% 38.34/24.75 (~v1(constB105)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12519, 12518])).
% 38.34/24.75 tff(12521,plain,
% 38.34/24.75 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12522,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 38.34/24.75 tff(12523,plain,
% 38.34/24.75 (nextState(constB104, constB105)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 38.34/24.75 tff(12524,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12525,plain,
% 38.34/24.75 (((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12526,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))))),
% 38.34/24.75 inference(monotonicity,[status(thm)],[12525])).
% 38.34/24.75 tff(12527,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 38.34/24.75 inference(transitivity,[status(thm)],[12526, 12524])).
% 38.34/24.75 tff(12528,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12529,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12528, 12527])).
% 38.34/24.75 tff(12530,plain,
% 38.34/24.75 (~v95(constB105)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12529, 175, 12523, 12520])).
% 38.34/24.75 tff(12531,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12532,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12533,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105))),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12532, 12531])).
% 38.34/24.75 tff(12534,plain,
% 38.34/24.75 (v95(constB105) | (~v94(constB105))),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12533, 192, 12523])).
% 38.34/24.75 tff(12535,plain,
% 38.34/24.75 (~v94(constB105)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12534, 12530])).
% 38.34/24.75 tff(12536,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12537,plain,
% 38.34/24.75 (((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2)) <=> ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12538,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2)))),
% 38.34/24.75 inference(monotonicity,[status(thm)],[12537])).
% 38.34/24.75 tff(12539,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 38.34/24.75 inference(transitivity,[status(thm)],[12538, 12536])).
% 38.34/24.75 tff(12540,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12541,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12540, 12539])).
% 38.34/24.75 tff(12542,plain,
% 38.34/24.75 ((~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12541, 543, 12523])).
% 38.34/24.75 tff(12543,plain,
% 38.34/24.75 ((~v84(constB104, bitIndex2)) | v84(constB105, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12542, 12535])).
% 38.34/24.75 tff(12544,plain,
% 38.34/24.75 (v84(constB105, bitIndex2)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12543, 12517])).
% 38.34/24.75 tff(12545,plain,
% 38.34/24.75 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB103)) | v124(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB103)) | v124(constB103, bitIndex1))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12546,plain,
% 38.34/24.75 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB103)) | v124(constB103, bitIndex1))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12547,plain,
% 38.34/24.75 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB103)) | v124(constB103, bitIndex1)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 38.34/24.75 tff(12548,plain,
% 38.34/24.75 (v124(constB103, bitIndex1)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12547, 861, 12430])).
% 38.34/24.75 tff(12549,plain,
% 38.34/24.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB103) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB103) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12550,plain,
% 38.34/24.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB103) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12551,plain,
% 38.34/24.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB103) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 38.34/24.75 tff(12552,plain,
% 38.34/24.75 ((~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12551, 875, 12446])).
% 38.34/24.75 tff(12553,plain,
% 38.34/24.75 (v121(constB103, bitIndex1)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12552, 12548])).
% 38.34/24.75 tff(12554,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12555,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12556,plain,
% 38.34/24.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1)),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12555, 12554])).
% 38.34/24.75 tff(12557,plain,
% 38.34/24.75 ((~v121(constB103, bitIndex1)) | v123(constB104, bitIndex1)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12556, 890, 12461])).
% 38.34/24.75 tff(12558,plain,
% 38.34/24.75 (v123(constB104, bitIndex1)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12557, 12553])).
% 38.34/24.75 tff(12559,plain,
% 38.34/24.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12560,plain,
% 38.34/24.75 ((v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1))) <=> (v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104)))),
% 38.34/24.75 inference(rewrite,[status(thm)],[])).
% 38.34/24.75 tff(12561,plain,
% 38.34/24.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104))))),
% 38.34/24.75 inference(monotonicity,[status(thm)],[12560])).
% 38.34/24.75 tff(12562,plain,
% 38.34/24.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104)))),
% 38.34/24.75 inference(transitivity,[status(thm)],[12561, 12559])).
% 38.34/24.75 tff(12563,plain,
% 38.34/24.75 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1)))),
% 38.34/24.75 inference(quant_inst,[status(thm)],[])).
% 38.34/24.75 tff(12564,plain,
% 38.34/24.75 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)) | (~v94(constB104))),
% 38.34/24.75 inference(modus_ponens,[status(thm)],[12563, 12562])).
% 38.34/24.75 tff(12565,plain,
% 38.34/24.75 (v84(constB104, bitIndex1) | (~v94(constB104))),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12564, 905, 12558])).
% 38.34/24.75 tff(12566,plain,
% 38.34/24.75 (v84(constB104, bitIndex1)),
% 38.34/24.75 inference(unit_resolution,[status(thm)],[12565, 12495])).
% 38.34/24.75 tff(12567,plain,
% 38.34/24.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12568,plain,
% 38.34/24.76 (((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1)) <=> ((~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12569,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1)))),
% 38.34/24.76 inference(monotonicity,[status(thm)],[12568])).
% 38.34/24.76 tff(12570,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1))),
% 38.34/24.76 inference(transitivity,[status(thm)],[12569, 12567])).
% 38.34/24.76 tff(12571,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12572,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex1)),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12571, 12570])).
% 38.34/24.76 tff(12573,plain,
% 38.34/24.76 ((~v84(constB104, bitIndex1)) | v94(constB105) | v84(constB105, bitIndex1)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12572, 923, 12523])).
% 38.34/24.76 tff(12574,plain,
% 38.34/24.76 ((~v84(constB104, bitIndex1)) | v84(constB105, bitIndex1)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12573, 12535])).
% 38.34/24.76 tff(12575,plain,
% 38.34/24.76 (v84(constB105, bitIndex1)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12574, 12566])).
% 38.34/24.76 tff(12576,plain,
% 38.34/24.76 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB103)) | (~v124(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB103)) | (~v124(constB103, bitIndex0)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12577,plain,
% 38.34/24.76 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB103)) | (~v124(constB103, bitIndex0)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12578,plain,
% 38.34/24.76 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB103)) | (~v124(constB103, bitIndex0))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 38.34/24.76 tff(12579,plain,
% 38.34/24.76 (~v124(constB103, bitIndex0)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12578, 942, 12430])).
% 38.34/24.76 tff(12580,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12581,plain,
% 38.34/24.76 ((v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0))) <=> ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12582,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0)))),
% 38.34/24.76 inference(monotonicity,[status(thm)],[12581])).
% 38.34/24.76 tff(12583,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 38.34/24.76 inference(transitivity,[status(thm)],[12582, 12580])).
% 38.34/24.76 tff(12584,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12585,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0)),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 38.34/24.76 tff(12586,plain,
% 38.34/24.76 ((~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12585, 650, 12446])).
% 38.34/24.76 tff(12587,plain,
% 38.34/24.76 (~v121(constB103, bitIndex0)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12586, 12579])).
% 38.34/24.76 tff(12588,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12589,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12590,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12589, 12588])).
% 38.34/24.76 tff(12591,plain,
% 38.34/24.76 (v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12590, 668, 12461])).
% 38.34/24.76 tff(12592,plain,
% 38.34/24.76 (~v123(constB104, bitIndex0)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12591, 12587])).
% 38.34/24.76 tff(12593,plain,
% 38.34/24.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12594,plain,
% 38.34/24.76 (((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0)) <=> ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12595,plain,
% 38.34/24.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104))))),
% 38.34/24.76 inference(monotonicity,[status(thm)],[12594])).
% 38.34/24.76 tff(12596,plain,
% 38.34/24.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 38.34/24.76 inference(transitivity,[status(thm)],[12595, 12593])).
% 38.34/24.76 tff(12597,plain,
% 38.34/24.76 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12598,plain,
% 38.34/24.76 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 38.34/24.76 tff(12599,plain,
% 38.34/24.76 ((~v84(constB104, bitIndex0)) | (~v94(constB104))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12598, 683, 12592])).
% 38.34/24.76 tff(12600,plain,
% 38.34/24.76 (~v84(constB104, bitIndex0)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12599, 12495])).
% 38.34/24.76 tff(12601,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12602,plain,
% 38.34/24.76 (((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0))) <=> (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12603,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0))))),
% 38.34/24.76 inference(monotonicity,[status(thm)],[12602])).
% 38.34/24.76 tff(12604,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 38.34/24.76 inference(transitivity,[status(thm)],[12603, 12601])).
% 38.34/24.76 tff(12605,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12606,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 38.34/24.76 tff(12607,plain,
% 38.34/24.76 (v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12606, 249, 12523])).
% 38.34/24.76 tff(12608,plain,
% 38.34/24.76 (v84(constB104, bitIndex0) | (~v84(constB105, bitIndex0))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12607, 12535])).
% 38.34/24.76 tff(12609,plain,
% 38.34/24.76 (~v84(constB105, bitIndex0)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12608, 12600])).
% 38.34/24.76 tff(12610,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12611,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12612,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105)),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 38.34/24.76 tff(12613,plain,
% 38.34/24.76 (v119(constB105)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12612, 986, 12609, 12575, 12544])).
% 38.34/24.76 tff(12614,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB105) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB105) | (~v119(constB105)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12615,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB105) | (~v119(constB105)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12616,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB105) | (~v119(constB105))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 38.34/24.76 tff(12617,plain,
% 38.34/24.76 (v107(constB105)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12616, 997, 12613])).
% 38.34/24.76 tff(12618,assumption,(v26(constB105)), introduced(assumption)).
% 38.34/24.76 tff(12619,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12620,plain,
% 38.34/24.76 ($false),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12619, 120, 12618])).
% 38.34/24.76 tff(12621,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 38.34/24.76 tff(12622,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12623,plain,
% 38.34/24.76 ((v26(constB105) | (~v107(constB105)) | v106(constB105)) <=> (v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12624,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105))))),
% 38.34/24.76 inference(monotonicity,[status(thm)],[12623])).
% 38.34/24.76 tff(12625,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 38.34/24.76 inference(transitivity,[status(thm)],[12624, 12622])).
% 38.34/24.76 tff(12626,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12627,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12626, 12625])).
% 38.34/24.76 tff(12628,plain,
% 38.34/24.76 (v106(constB105) | (~v107(constB105))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12627, 350, 12621])).
% 38.34/24.76 tff(12629,plain,
% 38.34/24.76 (v106(constB105)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12628, 12617])).
% 38.34/24.76 tff(12630,plain,
% 38.34/24.76 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB105) | (~v106(constB105)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB105) | (~v106(constB105)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12631,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB105) | (~v106(constB105)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12632,plain,
% 38.34/24.76 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB105) | (~v106(constB105))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 38.34/24.76 tff(12633,plain,
% 38.34/24.76 (v102(constB105)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12632, 362, 12629])).
% 38.34/24.76 tff(12634,plain,
% 38.34/24.76 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12635,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 38.34/24.76 tff(12636,plain,
% 38.34/24.76 (nextState(constB105, constB106)),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12635, 12634])).
% 38.34/24.76 tff(12637,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12638,plain,
% 38.34/24.76 (((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12639,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))))),
% 38.34/24.76 inference(monotonicity,[status(thm)],[12638])).
% 38.34/24.76 tff(12640,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 38.34/24.76 inference(transitivity,[status(thm)],[12639, 12637])).
% 38.34/24.76 tff(12641,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12642,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 38.34/24.76 tff(12643,plain,
% 38.34/24.76 (v104(constB106) | (~v102(constB105))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12642, 379, 12636])).
% 38.34/24.76 tff(12644,plain,
% 38.34/24.76 (v104(constB106)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12643, 12633])).
% 38.34/24.76 tff(12645,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12646,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12647,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12646, 12645])).
% 38.34/24.76 tff(12648,plain,
% 38.34/24.76 (~v98(constB106)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12647, 397, 12636, 12520])).
% 38.34/24.76 tff(12649,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12650,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12651,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106)),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12650, 12649])).
% 38.34/24.76 tff(12652,plain,
% 38.34/24.76 (v96(constB106) | v98(constB106)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12651, 411, 12636])).
% 38.34/24.76 tff(12653,plain,
% 38.34/24.76 (v96(constB106)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12652, 12648])).
% 38.34/24.76 tff(12654,plain,
% 38.34/24.76 (v1(constB106) <=> v1(constB106)),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12655,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 38.34/24.76 tff(12656,plain,
% 38.34/24.76 (v1(constB106)),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12655, 12654])).
% 38.34/24.76 tff(12657,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12658,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12659,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12658, 12657])).
% 38.34/24.76 tff(12660,plain,
% 38.34/24.76 (v95(constB106) | (~v96(constB106))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12659, 429, 12636, 12656])).
% 38.34/24.76 tff(12661,plain,
% 38.34/24.76 (v95(constB106)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12660, 12653])).
% 38.34/24.76 tff(12662,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12663,plain,
% 38.34/24.76 (((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106)) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12664,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106))))),
% 38.34/24.76 inference(monotonicity,[status(thm)],[12663])).
% 38.34/24.76 tff(12665,plain,
% 38.34/24.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 38.34/24.76 inference(transitivity,[status(thm)],[12664, 12662])).
% 38.34/24.76 tff(12666,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12667,plain,
% 38.34/24.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 38.34/24.76 tff(12668,plain,
% 38.34/24.76 (v94(constB106) | (~v95(constB106)) | (~v104(constB106))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12667, 444, 12636])).
% 38.34/24.76 tff(12669,plain,
% 38.34/24.76 (v94(constB106) | (~v104(constB106))),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12668, 12661])).
% 38.34/24.76 tff(12670,plain,
% 38.34/24.76 (v94(constB106)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12669, 12644])).
% 38.34/24.76 tff(12671,plain,
% 38.34/24.76 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v116(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v116(constB105)))),
% 38.34/24.76 inference(rewrite,[status(thm)],[])).
% 38.34/24.76 tff(12672,plain,
% 38.34/24.76 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v116(constB105)))),
% 38.34/24.76 inference(quant_inst,[status(thm)],[])).
% 38.34/24.76 tff(12673,plain,
% 38.34/24.76 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v116(constB105))),
% 38.34/24.76 inference(modus_ponens,[status(thm)],[12672, 12671])).
% 38.34/24.76 tff(12674,plain,
% 38.34/24.76 (~v116(constB105)),
% 38.34/24.76 inference(unit_resolution,[status(thm)],[12673, 1069, 12544])).
% 38.34/24.76 tff(12675,plain,
% 38.34/24.76 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB105)) | (~v84(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB105)) | (~v84(constB105, bitIndex1)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12676,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB105)) | (~v84(constB105, bitIndex1)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12677,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB105)) | (~v84(constB105, bitIndex1))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 38.34/24.77 tff(12678,plain,
% 38.34/24.77 (~v113(constB105)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12677, 1083, 12575])).
% 38.34/24.77 tff(12679,plain,
% 38.34/24.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v118(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v118(constB105)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12680,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v118(constB105)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12681,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v118(constB105))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 38.34/24.77 tff(12682,plain,
% 38.34/24.77 (~v118(constB105)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12681, 1094, 12575])).
% 38.34/24.77 tff(12683,plain,
% 38.34/24.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v172(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v172(constB105)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12684,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v172(constB105)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12685,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v172(constB105))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 38.34/24.77 tff(12686,plain,
% 38.34/24.77 (~v172(constB105)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12685, 1105, 12575])).
% 38.34/24.77 tff(12687,plain,
% 38.34/24.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v115(constB105)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12688,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v115(constB105)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12689,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v115(constB105))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12688, 12687])).
% 38.34/24.77 tff(12690,plain,
% 38.34/24.77 (~v115(constB105)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12689, 1058, 12544])).
% 38.34/24.77 tff(12691,plain,
% 38.34/24.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v145(constB105)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12692,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v145(constB105)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12693,plain,
% 38.34/24.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v145(constB105))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12692, 12691])).
% 38.34/24.77 tff(12694,plain,
% 38.34/24.77 (~v145(constB105)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12693, 1116, 12575])).
% 38.34/24.77 tff(12695,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12696,plain,
% 38.34/24.77 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex2))) <=> (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12697,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2))))),
% 38.34/24.77 inference(monotonicity,[status(thm)],[12696])).
% 38.34/24.77 tff(12698,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 38.34/24.77 inference(transitivity,[status(thm)],[12697, 12695])).
% 38.34/24.77 tff(12699,plain,
% 38.34/24.77 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex2)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12700,plain,
% 38.34/24.77 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12699, 12698])).
% 38.34/24.77 tff(12701,plain,
% 38.34/24.77 (~v124(constB105, bitIndex2)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12700, 1130, 12694, 12690, 12686, 12682, 12678, 12674])).
% 38.34/24.77 tff(12702,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12703,plain,
% 38.34/24.77 ((v26(constB105) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2))) <=> ((~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12704,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB105) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2)))),
% 38.34/24.77 inference(monotonicity,[status(thm)],[12703])).
% 38.34/24.77 tff(12705,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB105) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2))),
% 38.34/24.77 inference(transitivity,[status(thm)],[12704, 12702])).
% 38.34/24.77 tff(12706,plain,
% 38.34/24.77 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB105) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12707,plain,
% 38.34/24.77 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB105, bitIndex2)) | v26(constB105) | v124(constB105, bitIndex2)),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12706, 12705])).
% 38.34/24.77 tff(12708,plain,
% 38.34/24.77 ((~v121(constB105, bitIndex2)) | v124(constB105, bitIndex2)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12707, 1147, 12621])).
% 38.34/24.77 tff(12709,plain,
% 38.34/24.77 (~v121(constB105, bitIndex2)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12708, 12701])).
% 38.34/24.77 tff(12710,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12711,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12712,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12711, 12710])).
% 38.34/24.77 tff(12713,plain,
% 38.34/24.77 (v121(constB105, bitIndex2) | (~v123(constB106, bitIndex2))),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12712, 1165, 12636])).
% 38.34/24.77 tff(12714,plain,
% 38.34/24.77 (~v123(constB106, bitIndex2)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12713, 12709])).
% 38.34/24.77 tff(12715,plain,
% 38.34/24.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12716,plain,
% 38.34/24.77 (((~v84(constB106, bitIndex2)) | (~v94(constB106)) | v123(constB106, bitIndex2)) <=> ((~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12717,plain,
% 38.34/24.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | (~v94(constB106)) | v123(constB106, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106))))),
% 38.34/24.77 inference(monotonicity,[status(thm)],[12716])).
% 38.34/24.77 tff(12718,plain,
% 38.34/24.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | (~v94(constB106)) | v123(constB106, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106)))),
% 38.34/24.77 inference(transitivity,[status(thm)],[12717, 12715])).
% 38.34/24.77 tff(12719,plain,
% 38.34/24.77 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | (~v94(constB106)) | v123(constB106, bitIndex2))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12720,plain,
% 38.34/24.77 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2) | (~v94(constB106))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12719, 12718])).
% 38.34/24.77 tff(12721,plain,
% 38.34/24.77 ((~v84(constB106, bitIndex2)) | (~v94(constB106))),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12720, 1180, 12714])).
% 38.34/24.77 tff(12722,plain,
% 38.34/24.77 (~v84(constB106, bitIndex2)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12721, 12670])).
% 38.34/24.77 tff(12723,plain,
% 38.34/24.77 ((~v1(constB107)) <=> (~v1(constB107))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12724,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 38.34/24.77 tff(12725,plain,
% 38.34/24.77 (~v1(constB107)),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 38.34/24.77 tff(12726,plain,
% 38.34/24.77 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12727,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 38.34/24.77 tff(12728,plain,
% 38.34/24.77 (nextState(constB106, constB107)),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12727, 12726])).
% 38.34/24.77 tff(12729,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12730,plain,
% 38.34/24.77 (((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12731,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))))),
% 38.34/24.77 inference(monotonicity,[status(thm)],[12730])).
% 38.34/24.77 tff(12732,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 38.34/24.77 inference(transitivity,[status(thm)],[12731, 12729])).
% 38.34/24.77 tff(12733,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12734,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 38.34/24.77 tff(12735,plain,
% 38.34/24.77 (~v95(constB107)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12734, 175, 12728, 12725])).
% 38.34/24.77 tff(12736,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12737,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12738,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12737, 12736])).
% 38.34/24.77 tff(12739,plain,
% 38.34/24.77 (v95(constB107) | (~v94(constB107))),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12738, 192, 12728])).
% 38.34/24.77 tff(12740,plain,
% 38.34/24.77 (~v94(constB107)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12739, 12735])).
% 38.34/24.77 tff(12741,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12742,plain,
% 38.34/24.77 (((~nextState(constB106, constB107)) | v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2))) <=> (v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12743,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2))))),
% 38.34/24.77 inference(monotonicity,[status(thm)],[12742])).
% 38.34/24.77 tff(12744,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2)))),
% 38.34/24.77 inference(transitivity,[status(thm)],[12743, 12741])).
% 38.34/24.77 tff(12745,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12746,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex2))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12745, 12744])).
% 38.34/24.77 tff(12747,plain,
% 38.34/24.77 (v84(constB106, bitIndex2) | v94(constB107) | (~v84(constB107, bitIndex2))),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12746, 207, 12728])).
% 38.34/24.77 tff(12748,plain,
% 38.34/24.77 (v84(constB106, bitIndex2) | (~v84(constB107, bitIndex2))),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12747, 12740])).
% 38.34/24.77 tff(12749,plain,
% 38.34/24.77 (~v84(constB107, bitIndex2)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12748, 12722])).
% 38.34/24.77 tff(12750,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12751,plain,
% 38.34/24.77 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex1))) <=> (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12752,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1))))),
% 38.34/24.77 inference(monotonicity,[status(thm)],[12751])).
% 38.34/24.77 tff(12753,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 38.34/24.77 inference(transitivity,[status(thm)],[12752, 12750])).
% 38.34/24.77 tff(12754,plain,
% 38.34/24.77 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~v124(constB105, bitIndex1)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12755,plain,
% 38.34/24.77 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12754, 12753])).
% 38.34/24.77 tff(12756,plain,
% 38.34/24.77 (~v124(constB105, bitIndex1)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12755, 1225, 12694, 12690, 12686, 12682, 12678, 12674])).
% 38.34/24.77 tff(12757,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12758,plain,
% 38.34/24.77 ((v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1))) <=> ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12759,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1)))),
% 38.34/24.77 inference(monotonicity,[status(thm)],[12758])).
% 38.34/24.77 tff(12760,plain,
% 38.34/24.77 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 38.34/24.77 inference(transitivity,[status(thm)],[12759, 12757])).
% 38.34/24.77 tff(12761,plain,
% 38.34/24.77 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12762,plain,
% 38.34/24.77 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1)),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12761, 12760])).
% 38.34/24.77 tff(12763,plain,
% 38.34/24.77 ((~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12762, 576, 12621])).
% 38.34/24.77 tff(12764,plain,
% 38.34/24.77 (~v121(constB105, bitIndex1)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12763, 12756])).
% 38.34/24.77 tff(12765,plain,
% 38.34/24.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12766,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 38.34/24.77 inference(quant_inst,[status(thm)],[])).
% 38.34/24.77 tff(12767,plain,
% 38.34/24.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1))),
% 38.34/24.77 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 38.34/24.77 tff(12768,plain,
% 38.34/24.77 (v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1))),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12767, 594, 12636])).
% 38.34/24.77 tff(12769,plain,
% 38.34/24.77 (~v123(constB106, bitIndex1)),
% 38.34/24.77 inference(unit_resolution,[status(thm)],[12768, 12764])).
% 38.34/24.77 tff(12770,plain,
% 38.34/24.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12771,plain,
% 38.34/24.77 (((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1)) <=> ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 38.34/24.77 inference(rewrite,[status(thm)],[])).
% 38.34/24.77 tff(12772,plain,
% 38.34/24.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106))))),
% 38.34/24.77 inference(monotonicity,[status(thm)],[12771])).
% 38.34/24.77 tff(12773,plain,
% 38.34/24.77 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 38.34/24.77 inference(transitivity,[status(thm)],[12772, 12770])).
% 38.34/24.77 tff(12774,plain,
% 38.34/24.77 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12775,plain,
% 38.34/24.78 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12774, 12773])).
% 38.34/24.78 tff(12776,plain,
% 38.34/24.78 ((~v84(constB106, bitIndex1)) | (~v94(constB106))),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12775, 609, 12769])).
% 38.34/24.78 tff(12777,plain,
% 38.34/24.78 (~v84(constB106, bitIndex1)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12776, 12670])).
% 38.34/24.78 tff(12778,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12779,plain,
% 38.34/24.78 (((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1))) <=> (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12780,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1))))),
% 38.34/24.78 inference(monotonicity,[status(thm)],[12779])).
% 38.34/24.78 tff(12781,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 38.34/24.78 inference(transitivity,[status(thm)],[12780, 12778])).
% 38.34/24.78 tff(12782,plain,
% 38.34/24.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12783,plain,
% 38.34/24.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12782, 12781])).
% 38.34/24.78 tff(12784,plain,
% 38.34/24.78 (v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1))),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12783, 228, 12728])).
% 38.34/24.78 tff(12785,plain,
% 38.34/24.78 (v84(constB106, bitIndex1) | (~v84(constB107, bitIndex1))),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12784, 12740])).
% 38.34/24.78 tff(12786,plain,
% 38.34/24.78 (~v84(constB107, bitIndex1)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12785, 12777])).
% 38.34/24.78 tff(12787,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12788,plain,
% 38.34/24.78 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | v124(constB105, bitIndex0)) <=> (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12789,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | v124(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0)))),
% 38.34/24.78 inference(monotonicity,[status(thm)],[12788])).
% 38.34/24.78 tff(12790,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | v124(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 38.34/24.78 inference(transitivity,[status(thm)],[12789, 12787])).
% 38.34/24.78 tff(12791,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | v124(constB105, bitIndex0))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12792,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB105) | v145(constB105) | v118(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0)),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12791, 12790])).
% 38.34/24.78 tff(12793,plain,
% 38.34/24.78 (v124(constB105, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12792, 1272, 12694, 12690, 12686, 12682, 12678, 12674])).
% 38.34/24.78 tff(12794,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12795,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12796,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0)),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12795, 12794])).
% 38.34/24.78 tff(12797,plain,
% 38.34/24.78 ((~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12796, 1289, 12621])).
% 38.34/24.78 tff(12798,plain,
% 38.34/24.78 (v121(constB105, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12797, 12793])).
% 38.34/24.78 tff(12799,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12800,plain,
% 38.34/24.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12801,plain,
% 38.34/24.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0)),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 38.34/24.78 tff(12802,plain,
% 38.34/24.78 ((~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12801, 1304, 12636])).
% 38.34/24.78 tff(12803,plain,
% 38.34/24.78 (v123(constB106, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12802, 12798])).
% 38.34/24.78 tff(12804,plain,
% 38.34/24.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12805,plain,
% 38.34/24.78 ((v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0))) <=> (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12806,plain,
% 38.34/24.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106))))),
% 38.34/24.78 inference(monotonicity,[status(thm)],[12805])).
% 38.34/24.78 tff(12807,plain,
% 38.34/24.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 38.34/24.78 inference(transitivity,[status(thm)],[12806, 12804])).
% 38.34/24.78 tff(12808,plain,
% 38.34/24.78 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12809,plain,
% 38.34/24.78 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12808, 12807])).
% 38.34/24.78 tff(12810,plain,
% 38.34/24.78 (v84(constB106, bitIndex0) | (~v94(constB106))),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12809, 1319, 12803])).
% 38.34/24.78 tff(12811,plain,
% 38.34/24.78 (v84(constB106, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12810, 12670])).
% 38.34/24.78 tff(12812,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12813,plain,
% 38.34/24.78 (((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0)) <=> ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12814,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0)))),
% 38.34/24.78 inference(monotonicity,[status(thm)],[12813])).
% 38.34/24.78 tff(12815,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 38.34/24.78 inference(transitivity,[status(thm)],[12814, 12812])).
% 38.34/24.78 tff(12816,plain,
% 38.34/24.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12817,plain,
% 38.34/24.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0)),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12816, 12815])).
% 38.34/24.78 tff(12818,plain,
% 38.34/24.78 ((~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12817, 1337, 12728])).
% 38.34/24.78 tff(12819,plain,
% 38.34/24.78 ((~v84(constB106, bitIndex0)) | v84(constB107, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12818, 12740])).
% 38.34/24.78 tff(12820,plain,
% 38.34/24.78 (v84(constB107, bitIndex0)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12819, 12811])).
% 38.34/24.78 tff(12821,plain,
% 38.34/24.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12822,plain,
% 38.34/24.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12823,plain,
% 38.34/24.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107)),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12822, 12821])).
% 38.34/24.78 tff(12824,plain,
% 38.34/24.78 (v145(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12823, 1356, 12820, 12786, 12749])).
% 38.34/24.78 tff(12825,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB107) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB107) | (~v145(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12826,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB107) | (~v145(constB107)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12827,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB107) | (~v145(constB107))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12826, 12825])).
% 38.34/24.78 tff(12828,plain,
% 38.34/24.78 (v112(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12827, 1367, 12824])).
% 38.34/24.78 tff(12829,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB107) | (~v112(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12830,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB107) | (~v112(constB107)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12831,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB107) | (~v112(constB107))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12830, 12829])).
% 38.34/24.78 tff(12832,plain,
% 38.34/24.78 (v111(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12831, 292, 12828])).
% 38.34/24.78 tff(12833,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB107) | (~v111(constB107)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB107) | (~v111(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12834,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB107) | (~v111(constB107)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12835,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB107) | (~v111(constB107))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 38.34/24.78 tff(12836,plain,
% 38.34/24.78 (v110(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12835, 303, 12832])).
% 38.34/24.78 tff(12837,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB107) | (~v110(constB107)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB107) | (~v110(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12838,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB107) | (~v110(constB107)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12839,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB107) | (~v110(constB107))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12838, 12837])).
% 38.34/24.78 tff(12840,plain,
% 38.34/24.78 (v109(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12839, 314, 12836])).
% 38.34/24.78 tff(12841,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB107) | (~v109(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB107) | (~v109(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12842,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB107) | (~v109(constB107)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12843,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB107) | (~v109(constB107))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 38.34/24.78 tff(12844,plain,
% 38.34/24.78 (v108(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12843, 325, 12840])).
% 38.34/24.78 tff(12845,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB107) | (~v108(constB107)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB107) | (~v108(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12846,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB107) | (~v108(constB107)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12847,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB107) | (~v108(constB107))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 38.34/24.78 tff(12848,plain,
% 38.34/24.78 (v107(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12847, 336, 12844])).
% 38.34/24.78 tff(12849,assumption,(v26(constB107)), introduced(assumption)).
% 38.34/24.78 tff(12850,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12851,plain,
% 38.34/24.78 ($false),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12850, 120, 12849])).
% 38.34/24.78 tff(12852,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 38.34/24.78 tff(12853,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12854,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12855,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | (~v107(constB107)) | v106(constB107)),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 38.34/24.78 tff(12856,plain,
% 38.34/24.78 ((~v107(constB107)) | v106(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12855, 350, 12852])).
% 38.34/24.78 tff(12857,plain,
% 38.34/24.78 (v106(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12856, 12848])).
% 38.34/24.78 tff(12858,plain,
% 38.34/24.78 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB107) | (~v106(constB107)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB107) | (~v106(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12859,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB107) | (~v106(constB107)))),
% 38.34/24.78 inference(quant_inst,[status(thm)],[])).
% 38.34/24.78 tff(12860,plain,
% 38.34/24.78 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB107) | (~v106(constB107))),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 38.34/24.78 tff(12861,plain,
% 38.34/24.78 (v102(constB107)),
% 38.34/24.78 inference(unit_resolution,[status(thm)],[12860, 362, 12857])).
% 38.34/24.78 tff(12862,plain,
% 38.34/24.78 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12863,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 38.34/24.78 tff(12864,plain,
% 38.34/24.78 (nextState(constB107, constB108)),
% 38.34/24.78 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 38.34/24.78 tff(12865,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12866,plain,
% 38.34/24.78 (((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 38.34/24.78 inference(rewrite,[status(thm)],[])).
% 38.34/24.78 tff(12867,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))))),
% 38.34/24.78 inference(monotonicity,[status(thm)],[12866])).
% 38.34/24.78 tff(12868,plain,
% 38.34/24.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 38.34/24.78 inference(transitivity,[status(thm)],[12867, 12865])).
% 38.34/24.78 tff(12869,plain,
% 38.34/24.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12870,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12869, 12868])).
% 38.34/24.79 tff(12871,plain,
% 38.34/24.79 (v104(constB108) | (~v102(constB107))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12870, 379, 12864])).
% 38.34/24.79 tff(12872,plain,
% 38.34/24.79 (v104(constB108)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12871, 12861])).
% 38.34/24.79 tff(12873,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12874,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12875,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12874, 12873])).
% 38.34/24.79 tff(12876,plain,
% 38.34/24.79 (~v98(constB108)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12875, 397, 12864, 12725])).
% 38.34/24.79 tff(12877,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12878,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12879,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108)),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12878, 12877])).
% 38.34/24.79 tff(12880,plain,
% 38.34/24.79 (v96(constB108) | v98(constB108)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12879, 411, 12864])).
% 38.34/24.79 tff(12881,plain,
% 38.34/24.79 (v96(constB108)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12880, 12876])).
% 38.34/24.79 tff(12882,plain,
% 38.34/24.79 (v1(constB108) <=> v1(constB108)),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12883,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 38.34/24.79 tff(12884,plain,
% 38.34/24.79 (v1(constB108)),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 38.34/24.79 tff(12885,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12886,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12887,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12886, 12885])).
% 38.34/24.79 tff(12888,plain,
% 38.34/24.79 (v95(constB108) | (~v96(constB108))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12887, 429, 12864, 12884])).
% 38.34/24.79 tff(12889,plain,
% 38.34/24.79 (v95(constB108)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12888, 12881])).
% 38.34/24.79 tff(12890,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12891,plain,
% 38.34/24.79 (((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108)) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12892,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108))))),
% 38.34/24.79 inference(monotonicity,[status(thm)],[12891])).
% 38.34/24.79 tff(12893,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 38.34/24.79 inference(transitivity,[status(thm)],[12892, 12890])).
% 38.34/24.79 tff(12894,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12895,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12894, 12893])).
% 38.34/24.79 tff(12896,plain,
% 38.34/24.79 (v94(constB108) | (~v95(constB108)) | (~v104(constB108))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12895, 444, 12864])).
% 38.34/24.79 tff(12897,plain,
% 38.34/24.79 (v94(constB108) | (~v104(constB108))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12896, 12889])).
% 38.34/24.79 tff(12898,plain,
% 38.34/24.79 (v94(constB108)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12897, 12872])).
% 38.34/24.79 tff(12899,plain,
% 38.34/24.79 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB107)) | (~v124(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB107)) | (~v124(constB107, bitIndex2)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12900,plain,
% 38.34/24.79 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB107)) | (~v124(constB107, bitIndex2)))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12901,plain,
% 38.34/24.79 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB107)) | (~v124(constB107, bitIndex2))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12900, 12899])).
% 38.34/24.79 tff(12902,plain,
% 38.34/24.79 (~v124(constB107, bitIndex2)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12901, 1451, 12824])).
% 38.34/24.79 tff(12903,plain,
% 38.34/24.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12904,plain,
% 38.34/24.79 ((v26(constB107) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2))) <=> ((~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12905,plain,
% 38.34/24.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB107) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2)))),
% 38.34/24.79 inference(monotonicity,[status(thm)],[12904])).
% 38.34/24.79 tff(12906,plain,
% 38.34/24.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB107) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2))),
% 38.34/24.79 inference(transitivity,[status(thm)],[12905, 12903])).
% 38.34/24.79 tff(12907,plain,
% 38.34/24.79 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB107) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12908,plain,
% 38.34/24.79 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB107, bitIndex2)) | v26(constB107) | v124(constB107, bitIndex2)),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12907, 12906])).
% 38.34/24.79 tff(12909,plain,
% 38.34/24.79 ((~v121(constB107, bitIndex2)) | v124(constB107, bitIndex2)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12908, 1147, 12852])).
% 38.34/24.79 tff(12910,plain,
% 38.34/24.79 (~v121(constB107, bitIndex2)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12909, 12902])).
% 38.34/24.79 tff(12911,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12912,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2)))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12913,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12912, 12911])).
% 38.34/24.79 tff(12914,plain,
% 38.34/24.79 (v121(constB107, bitIndex2) | (~v123(constB108, bitIndex2))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12913, 1165, 12864])).
% 38.34/24.79 tff(12915,plain,
% 38.34/24.79 (~v123(constB108, bitIndex2)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12914, 12910])).
% 38.34/24.79 tff(12916,plain,
% 38.34/24.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12917,plain,
% 38.34/24.79 (((~v84(constB108, bitIndex2)) | (~v94(constB108)) | v123(constB108, bitIndex2)) <=> ((~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12918,plain,
% 38.34/24.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | (~v94(constB108)) | v123(constB108, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108))))),
% 38.34/24.79 inference(monotonicity,[status(thm)],[12917])).
% 38.34/24.79 tff(12919,plain,
% 38.34/24.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | (~v94(constB108)) | v123(constB108, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108)))),
% 38.34/24.79 inference(transitivity,[status(thm)],[12918, 12916])).
% 38.34/24.79 tff(12920,plain,
% 38.34/24.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | (~v94(constB108)) | v123(constB108, bitIndex2))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12921,plain,
% 38.34/24.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2) | (~v94(constB108))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 38.34/24.79 tff(12922,plain,
% 38.34/24.79 ((~v84(constB108, bitIndex2)) | (~v94(constB108))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12921, 1180, 12915])).
% 38.34/24.79 tff(12923,plain,
% 38.34/24.79 (~v84(constB108, bitIndex2)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12922, 12898])).
% 38.34/24.79 tff(12924,plain,
% 38.34/24.79 ((~v1(constB109)) <=> (~v1(constB109))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12925,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 38.34/24.79 tff(12926,plain,
% 38.34/24.79 (~v1(constB109)),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12925, 12924])).
% 38.34/24.79 tff(12927,plain,
% 38.34/24.79 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12928,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 38.34/24.79 tff(12929,plain,
% 38.34/24.79 (nextState(constB108, constB109)),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12928, 12927])).
% 38.34/24.79 tff(12930,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12931,plain,
% 38.34/24.79 (((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12932,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))))),
% 38.34/24.79 inference(monotonicity,[status(thm)],[12931])).
% 38.34/24.79 tff(12933,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 38.34/24.79 inference(transitivity,[status(thm)],[12932, 12930])).
% 38.34/24.79 tff(12934,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12935,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 38.34/24.79 tff(12936,plain,
% 38.34/24.79 (~v95(constB109)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12935, 175, 12929, 12926])).
% 38.34/24.79 tff(12937,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12938,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12939,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 38.34/24.79 tff(12940,plain,
% 38.34/24.79 (v95(constB109) | (~v94(constB109))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12939, 192, 12929])).
% 38.34/24.79 tff(12941,plain,
% 38.34/24.79 (~v94(constB109)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12940, 12936])).
% 38.34/24.79 tff(12942,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12943,plain,
% 38.34/24.79 (((~nextState(constB108, constB109)) | v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2))) <=> (v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12944,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2))))),
% 38.34/24.79 inference(monotonicity,[status(thm)],[12943])).
% 38.34/24.79 tff(12945,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2)))),
% 38.34/24.79 inference(transitivity,[status(thm)],[12944, 12942])).
% 38.34/24.79 tff(12946,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2)))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12947,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex2))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12946, 12945])).
% 38.34/24.79 tff(12948,plain,
% 38.34/24.79 (v84(constB108, bitIndex2) | v94(constB109) | (~v84(constB109, bitIndex2))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12947, 207, 12929])).
% 38.34/24.79 tff(12949,plain,
% 38.34/24.79 (v84(constB108, bitIndex2) | (~v84(constB109, bitIndex2))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12948, 12941])).
% 38.34/24.79 tff(12950,plain,
% 38.34/24.79 (~v84(constB109, bitIndex2)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12949, 12923])).
% 38.34/24.79 tff(12951,plain,
% 38.34/24.79 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB107)) | v124(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB107)) | v124(constB107, bitIndex1))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12952,plain,
% 38.34/24.79 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB107)) | v124(constB107, bitIndex1))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12953,plain,
% 38.34/24.79 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB107)) | v124(constB107, bitIndex1)),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12952, 12951])).
% 38.34/24.79 tff(12954,plain,
% 38.34/24.79 (v124(constB107, bitIndex1)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12953, 1513, 12824])).
% 38.34/24.79 tff(12955,plain,
% 38.34/24.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12956,plain,
% 38.34/24.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12957,plain,
% 38.34/24.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1)),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12956, 12955])).
% 38.34/24.79 tff(12958,plain,
% 38.34/24.79 ((~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12957, 875, 12852])).
% 38.34/24.79 tff(12959,plain,
% 38.34/24.79 (v121(constB107, bitIndex1)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12958, 12954])).
% 38.34/24.79 tff(12960,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12961,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12962,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1)),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12961, 12960])).
% 38.34/24.79 tff(12963,plain,
% 38.34/24.79 ((~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12962, 890, 12864])).
% 38.34/24.79 tff(12964,plain,
% 38.34/24.79 (v123(constB108, bitIndex1)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12963, 12959])).
% 38.34/24.79 tff(12965,plain,
% 38.34/24.79 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12966,plain,
% 38.34/24.79 ((v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1))) <=> (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12967,plain,
% 38.34/24.79 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108))))),
% 38.34/24.79 inference(monotonicity,[status(thm)],[12966])).
% 38.34/24.79 tff(12968,plain,
% 38.34/24.79 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 38.34/24.79 inference(transitivity,[status(thm)],[12967, 12965])).
% 38.34/24.79 tff(12969,plain,
% 38.34/24.79 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))),
% 38.34/24.79 inference(quant_inst,[status(thm)],[])).
% 38.34/24.79 tff(12970,plain,
% 38.34/24.79 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108))),
% 38.34/24.79 inference(modus_ponens,[status(thm)],[12969, 12968])).
% 38.34/24.79 tff(12971,plain,
% 38.34/24.79 (v84(constB108, bitIndex1) | (~v94(constB108))),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12970, 905, 12964])).
% 38.34/24.79 tff(12972,plain,
% 38.34/24.79 (v84(constB108, bitIndex1)),
% 38.34/24.79 inference(unit_resolution,[status(thm)],[12971, 12898])).
% 38.34/24.79 tff(12973,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12974,plain,
% 38.34/24.79 (((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1)) <=> ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 38.34/24.79 inference(rewrite,[status(thm)],[])).
% 38.34/24.79 tff(12975,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1)))),
% 38.34/24.79 inference(monotonicity,[status(thm)],[12974])).
% 38.34/24.79 tff(12976,plain,
% 38.34/24.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 38.34/24.79 inference(transitivity,[status(thm)],[12975, 12973])).
% 38.34/24.79 tff(12977,plain,
% 38.34/24.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))),
% 38.34/24.80 inference(quant_inst,[status(thm)],[])).
% 38.34/24.80 tff(12978,plain,
% 38.34/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1)),
% 38.34/24.80 inference(modus_ponens,[status(thm)],[12977, 12976])).
% 38.34/24.80 tff(12979,plain,
% 38.34/24.80 ((~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[12978, 923, 12929])).
% 38.34/24.80 tff(12980,plain,
% 38.34/24.80 ((~v84(constB108, bitIndex1)) | v84(constB109, bitIndex1)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[12979, 12941])).
% 38.34/24.80 tff(12981,plain,
% 38.34/24.80 (v84(constB109, bitIndex1)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[12980, 12972])).
% 38.34/24.80 tff(12982,plain,
% 38.34/24.80 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB107)) | (~v124(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB107)) | (~v124(constB107, bitIndex0)))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(12983,plain,
% 38.34/24.80 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB107)) | (~v124(constB107, bitIndex0)))),
% 38.34/24.80 inference(quant_inst,[status(thm)],[])).
% 38.34/24.80 tff(12984,plain,
% 38.34/24.80 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB107)) | (~v124(constB107, bitIndex0))),
% 38.34/24.80 inference(modus_ponens,[status(thm)],[12983, 12982])).
% 38.34/24.80 tff(12985,plain,
% 38.34/24.80 (~v124(constB107, bitIndex0)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[12984, 1554, 12824])).
% 38.34/24.80 tff(12986,plain,
% 38.34/24.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(12987,plain,
% 38.34/24.80 ((v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0))) <=> ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(12988,plain,
% 38.34/24.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0)))),
% 38.34/24.80 inference(monotonicity,[status(thm)],[12987])).
% 38.34/24.80 tff(12989,plain,
% 38.34/24.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 38.34/24.80 inference(transitivity,[status(thm)],[12988, 12986])).
% 38.34/24.80 tff(12990,plain,
% 38.34/24.80 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))),
% 38.34/24.80 inference(quant_inst,[status(thm)],[])).
% 38.34/24.80 tff(12991,plain,
% 38.34/24.80 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0)),
% 38.34/24.80 inference(modus_ponens,[status(thm)],[12990, 12989])).
% 38.34/24.80 tff(12992,plain,
% 38.34/24.80 ((~v121(constB107, bitIndex0)) | v124(constB107, bitIndex0)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[12991, 650, 12852])).
% 38.34/24.80 tff(12993,plain,
% 38.34/24.80 (~v121(constB107, bitIndex0)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[12992, 12985])).
% 38.34/24.80 tff(12994,plain,
% 38.34/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(12995,plain,
% 38.34/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 38.34/24.80 inference(quant_inst,[status(thm)],[])).
% 38.34/24.80 tff(12996,plain,
% 38.34/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0))),
% 38.34/24.80 inference(modus_ponens,[status(thm)],[12995, 12994])).
% 38.34/24.80 tff(12997,plain,
% 38.34/24.80 (v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0))),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[12996, 668, 12864])).
% 38.34/24.80 tff(12998,plain,
% 38.34/24.80 (~v123(constB108, bitIndex0)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[12997, 12993])).
% 38.34/24.80 tff(12999,plain,
% 38.34/24.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(13000,plain,
% 38.34/24.80 (((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0)) <=> ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(13001,plain,
% 38.34/24.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108))))),
% 38.34/24.80 inference(monotonicity,[status(thm)],[13000])).
% 38.34/24.80 tff(13002,plain,
% 38.34/24.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 38.34/24.80 inference(transitivity,[status(thm)],[13001, 12999])).
% 38.34/24.80 tff(13003,plain,
% 38.34/24.80 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))),
% 38.34/24.80 inference(quant_inst,[status(thm)],[])).
% 38.34/24.80 tff(13004,plain,
% 38.34/24.80 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108))),
% 38.34/24.80 inference(modus_ponens,[status(thm)],[13003, 13002])).
% 38.34/24.80 tff(13005,plain,
% 38.34/24.80 ((~v84(constB108, bitIndex0)) | (~v94(constB108))),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[13004, 683, 12998])).
% 38.34/24.80 tff(13006,plain,
% 38.34/24.80 (~v84(constB108, bitIndex0)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[13005, 12898])).
% 38.34/24.80 tff(13007,plain,
% 38.34/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(13008,plain,
% 38.34/24.80 (((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0))) <=> (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(13009,plain,
% 38.34/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0))))),
% 38.34/24.80 inference(monotonicity,[status(thm)],[13008])).
% 38.34/24.80 tff(13010,plain,
% 38.34/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 38.34/24.80 inference(transitivity,[status(thm)],[13009, 13007])).
% 38.34/24.80 tff(13011,plain,
% 38.34/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 38.34/24.80 inference(quant_inst,[status(thm)],[])).
% 38.34/24.80 tff(13012,plain,
% 38.34/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0))),
% 38.34/24.80 inference(modus_ponens,[status(thm)],[13011, 13010])).
% 38.34/24.80 tff(13013,plain,
% 38.34/24.80 (v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0))),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[13012, 249, 12929])).
% 38.34/24.80 tff(13014,plain,
% 38.34/24.80 (v84(constB108, bitIndex0) | (~v84(constB109, bitIndex0))),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[13013, 12941])).
% 38.34/24.80 tff(13015,plain,
% 38.34/24.80 (~v84(constB109, bitIndex0)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[13014, 13006])).
% 38.34/24.80 tff(13016,plain,
% 38.34/24.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))),
% 38.34/24.80 inference(rewrite,[status(thm)],[])).
% 38.34/24.80 tff(13017,plain,
% 38.34/24.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))),
% 38.34/24.80 inference(quant_inst,[status(thm)],[])).
% 38.34/24.80 tff(13018,plain,
% 38.34/24.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109)),
% 38.34/24.80 inference(modus_ponens,[status(thm)],[13017, 13016])).
% 38.34/24.80 tff(13019,plain,
% 38.34/24.80 (v115(constB109)),
% 38.34/24.80 inference(unit_resolution,[status(thm)],[13018, 1598, 13015, 12981, 12950])).
% 38.34/24.80 tff(13020,plain,
% 38.34/24.80 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB109) | (~v115(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13021,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB109) | (~v115(constB109)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13022,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB109) | (~v115(constB109))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 38.41/24.80 tff(13023,plain,
% 38.41/24.80 (v111(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13022, 1609, 13019])).
% 38.41/24.80 tff(13024,plain,
% 38.41/24.80 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB109) | (~v111(constB109)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB109) | (~v111(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13025,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB109) | (~v111(constB109)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13026,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB109) | (~v111(constB109))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13025, 13024])).
% 38.41/24.80 tff(13027,plain,
% 38.41/24.80 (v110(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13026, 303, 13023])).
% 38.41/24.80 tff(13028,plain,
% 38.41/24.80 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB109) | (~v110(constB109)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB109) | (~v110(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13029,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB109) | (~v110(constB109)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13030,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB109) | (~v110(constB109))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 38.41/24.80 tff(13031,plain,
% 38.41/24.80 (v109(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13030, 314, 13027])).
% 38.41/24.80 tff(13032,plain,
% 38.41/24.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB109) | (~v109(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB109) | (~v109(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13033,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB109) | (~v109(constB109)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13034,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB109) | (~v109(constB109))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 38.41/24.80 tff(13035,plain,
% 38.41/24.80 (v108(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13034, 325, 13031])).
% 38.41/24.80 tff(13036,plain,
% 38.41/24.80 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB109) | (~v108(constB109)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB109) | (~v108(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13037,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB109) | (~v108(constB109)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13038,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB109) | (~v108(constB109))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13037, 13036])).
% 38.41/24.80 tff(13039,plain,
% 38.41/24.80 (v107(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13038, 336, 13035])).
% 38.41/24.80 tff(13040,assumption,(~v102(constB109)), introduced(assumption)).
% 38.41/24.80 tff(13041,plain,
% 38.41/24.80 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB109) | (~v106(constB109)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB109) | (~v106(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13042,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB109) | (~v106(constB109)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13043,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB109) | (~v106(constB109))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13042, 13041])).
% 38.41/24.80 tff(13044,plain,
% 38.41/24.80 (~v106(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13043, 362, 13040])).
% 38.41/24.80 tff(13045,plain,
% 38.41/24.80 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB109) | (~v26(constB109)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB109) | (~v26(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13046,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB109) | (~v26(constB109)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13047,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB109) | (~v26(constB109))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13046, 13045])).
% 38.41/24.80 tff(13048,plain,
% 38.41/24.80 (~v26(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13047, 753, 13040])).
% 38.41/24.80 tff(13049,assumption,(v107(constB109)), introduced(assumption)).
% 38.41/24.80 tff(13050,plain,
% 38.41/24.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13051,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13052,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | (~v107(constB109)) | v106(constB109)),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13051, 13050])).
% 38.41/24.80 tff(13053,plain,
% 38.41/24.80 (v26(constB109) | v106(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13052, 350, 13049])).
% 38.41/24.80 tff(13054,plain,
% 38.41/24.80 ($false),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13053, 13048, 13044])).
% 38.41/24.80 tff(13055,plain,(v102(constB109) | (~v107(constB109))), inference(lemma,lemma(discharge,[]))).
% 38.41/24.80 tff(13056,plain,
% 38.41/24.80 (v102(constB109)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13055, 13039])).
% 38.41/24.80 tff(13057,plain,
% 38.41/24.80 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13058,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 38.41/24.80 tff(13059,plain,
% 38.41/24.80 (nextState(constB109, constB110)),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13058, 13057])).
% 38.41/24.80 tff(13060,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13061,plain,
% 38.41/24.80 (((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13062,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))))),
% 38.41/24.80 inference(monotonicity,[status(thm)],[13061])).
% 38.41/24.80 tff(13063,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 38.41/24.80 inference(transitivity,[status(thm)],[13062, 13060])).
% 38.41/24.80 tff(13064,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13065,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13064, 13063])).
% 38.41/24.80 tff(13066,plain,
% 38.41/24.80 (v104(constB110) | (~v102(constB109))),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13065, 379, 13059])).
% 38.41/24.80 tff(13067,plain,
% 38.41/24.80 (v104(constB110)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13066, 13056])).
% 38.41/24.80 tff(13068,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13069,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13070,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13069, 13068])).
% 38.41/24.80 tff(13071,plain,
% 38.41/24.80 (~v98(constB110)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13070, 397, 13059, 12926])).
% 38.41/24.80 tff(13072,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13073,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13074,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110)),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13073, 13072])).
% 38.41/24.80 tff(13075,plain,
% 38.41/24.80 (v96(constB110) | v98(constB110)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13074, 411, 13059])).
% 38.41/24.80 tff(13076,plain,
% 38.41/24.80 (v96(constB110)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13075, 13071])).
% 38.41/24.80 tff(13077,plain,
% 38.41/24.80 (v1(constB110) <=> v1(constB110)),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13078,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 38.41/24.80 tff(13079,plain,
% 38.41/24.80 (v1(constB110)),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13078, 13077])).
% 38.41/24.80 tff(13080,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13081,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13082,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 38.41/24.80 tff(13083,plain,
% 38.41/24.80 (v95(constB110) | (~v96(constB110))),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13082, 429, 13059, 13079])).
% 38.41/24.80 tff(13084,plain,
% 38.41/24.80 (v95(constB110)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13083, 13076])).
% 38.41/24.80 tff(13085,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13086,plain,
% 38.41/24.80 (((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110)) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13087,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110))))),
% 38.41/24.80 inference(monotonicity,[status(thm)],[13086])).
% 38.41/24.80 tff(13088,plain,
% 38.41/24.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 38.41/24.80 inference(transitivity,[status(thm)],[13087, 13085])).
% 38.41/24.80 tff(13089,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13090,plain,
% 38.41/24.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 38.41/24.80 tff(13091,plain,
% 38.41/24.80 (v94(constB110) | (~v95(constB110)) | (~v104(constB110))),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13090, 444, 13059])).
% 38.41/24.80 tff(13092,plain,
% 38.41/24.80 (v94(constB110) | (~v104(constB110))),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13091, 13084])).
% 38.41/24.80 tff(13093,plain,
% 38.41/24.80 (v94(constB110)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13092, 13067])).
% 38.41/24.80 tff(13094,plain,
% 38.41/24.80 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB109)) | (~v124(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB109)) | (~v124(constB109, bitIndex2)))),
% 38.41/24.80 inference(rewrite,[status(thm)],[])).
% 38.41/24.80 tff(13095,plain,
% 38.41/24.80 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB109)) | (~v124(constB109, bitIndex2)))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13096,plain,
% 38.41/24.80 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB109)) | (~v124(constB109, bitIndex2))),
% 38.41/24.80 inference(modus_ponens,[status(thm)],[13095, 13094])).
% 38.41/24.80 tff(13097,plain,
% 38.41/24.80 (~v124(constB109, bitIndex2)),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13096, 1688, 13019])).
% 38.41/24.80 tff(13098,assumption,(v26(constB109)), introduced(assumption)).
% 38.41/24.80 tff(13099,plain,
% 38.41/24.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 38.41/24.80 inference(quant_inst,[status(thm)],[])).
% 38.41/24.80 tff(13100,plain,
% 38.41/24.80 ($false),
% 38.41/24.80 inference(unit_resolution,[status(thm)],[13099, 120, 13098])).
% 38.41/24.81 tff(13101,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 38.41/24.81 tff(13102,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13103,plain,
% 38.41/24.81 ((v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2))) <=> ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13104,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2)))),
% 38.41/24.81 inference(monotonicity,[status(thm)],[13103])).
% 38.41/24.81 tff(13105,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 38.41/24.81 inference(transitivity,[status(thm)],[13104, 13102])).
% 38.41/24.81 tff(13106,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13107,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2)),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13106, 13105])).
% 38.41/24.81 tff(13108,plain,
% 38.41/24.81 ((~v121(constB109, bitIndex2)) | v124(constB109, bitIndex2)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13107, 1147, 13101])).
% 38.41/24.81 tff(13109,plain,
% 38.41/24.81 (~v121(constB109, bitIndex2)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13108, 13097])).
% 38.41/24.81 tff(13110,plain,
% 38.41/24.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13111,plain,
% 38.41/24.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13112,plain,
% 38.41/24.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13111, 13110])).
% 38.41/24.81 tff(13113,plain,
% 38.41/24.81 (v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2))),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13112, 1165, 13059])).
% 38.41/24.81 tff(13114,plain,
% 38.41/24.81 (~v123(constB110, bitIndex2)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13113, 13109])).
% 38.41/24.81 tff(13115,plain,
% 38.41/24.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13116,plain,
% 38.41/24.81 (((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2)) <=> ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13117,plain,
% 38.41/24.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110))))),
% 38.41/24.81 inference(monotonicity,[status(thm)],[13116])).
% 38.41/24.81 tff(13118,plain,
% 38.41/24.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 38.41/24.81 inference(transitivity,[status(thm)],[13117, 13115])).
% 38.41/24.81 tff(13119,plain,
% 38.41/24.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13120,plain,
% 38.41/24.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13119, 13118])).
% 38.41/24.81 tff(13121,plain,
% 38.41/24.81 ((~v84(constB110, bitIndex2)) | (~v94(constB110))),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13120, 1180, 13114])).
% 38.41/24.81 tff(13122,plain,
% 38.41/24.81 (~v84(constB110, bitIndex2)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13121, 13093])).
% 38.41/24.81 tff(13123,plain,
% 38.41/24.81 ((~v1(constB111)) <=> (~v1(constB111))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13124,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 38.41/24.81 tff(13125,plain,
% 38.41/24.81 (~v1(constB111)),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13124, 13123])).
% 38.41/24.81 tff(13126,plain,
% 38.41/24.81 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13127,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 38.41/24.81 tff(13128,plain,
% 38.41/24.81 (nextState(constB110, constB111)),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13127, 13126])).
% 38.41/24.81 tff(13129,plain,
% 38.41/24.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13130,plain,
% 38.41/24.81 (((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13131,plain,
% 38.41/24.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))))),
% 38.41/24.81 inference(monotonicity,[status(thm)],[13130])).
% 38.41/24.81 tff(13132,plain,
% 38.41/24.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 38.41/24.81 inference(transitivity,[status(thm)],[13131, 13129])).
% 38.41/24.81 tff(13133,plain,
% 38.41/24.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13134,plain,
% 38.41/24.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13133, 13132])).
% 38.41/24.81 tff(13135,plain,
% 38.41/24.81 (~v95(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13134, 175, 13128, 13125])).
% 38.41/24.81 tff(13136,plain,
% 38.41/24.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13137,plain,
% 38.41/24.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13138,plain,
% 38.41/24.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13137, 13136])).
% 38.41/24.81 tff(13139,plain,
% 38.41/24.81 (v95(constB111) | (~v94(constB111))),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13138, 192, 13128])).
% 38.41/24.81 tff(13140,plain,
% 38.41/24.81 (~v94(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13139, 13135])).
% 38.41/24.81 tff(13141,plain,
% 38.41/24.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13142,plain,
% 38.41/24.81 (((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2))) <=> (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13143,plain,
% 38.41/24.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2))))),
% 38.41/24.81 inference(monotonicity,[status(thm)],[13142])).
% 38.41/24.81 tff(13144,plain,
% 38.41/24.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 38.41/24.81 inference(transitivity,[status(thm)],[13143, 13141])).
% 38.41/24.81 tff(13145,plain,
% 38.41/24.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13146,plain,
% 38.41/24.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13145, 13144])).
% 38.41/24.81 tff(13147,plain,
% 38.41/24.81 (v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2))),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13146, 207, 13128])).
% 38.41/24.81 tff(13148,plain,
% 38.41/24.81 (v84(constB110, bitIndex2) | (~v84(constB111, bitIndex2))),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13147, 13140])).
% 38.41/24.81 tff(13149,plain,
% 38.41/24.81 (~v84(constB111, bitIndex2)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13148, 13122])).
% 38.41/24.81 tff(13150,assumption,(~v110(constB111)), introduced(assumption)).
% 38.41/24.81 tff(13151,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB111) | (~v111(constB111)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB111) | (~v111(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13152,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB111) | (~v111(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13153,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB111) | (~v111(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13152, 13151])).
% 38.41/24.81 tff(13154,plain,
% 38.41/24.81 (~v111(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13153, 303, 13150])).
% 38.41/24.81 tff(13155,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB111) | (~v115(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13156,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB111) | (~v115(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13157,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB111) | (~v115(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13156, 13155])).
% 38.41/24.81 tff(13158,plain,
% 38.41/24.81 (~v115(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13157, 1609, 13154])).
% 38.41/24.81 tff(13159,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB111) | (~v112(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13160,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB111) | (~v112(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13161,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB111) | (~v112(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13160, 13159])).
% 38.41/24.81 tff(13162,plain,
% 38.41/24.81 (~v112(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13161, 292, 13154])).
% 38.41/24.81 tff(13163,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB111) | (~v145(constB111)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB111) | (~v145(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13164,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB111) | (~v145(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13165,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB111) | (~v145(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13164, 13163])).
% 38.41/24.81 tff(13166,plain,
% 38.41/24.81 (~v145(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13165, 1367, 13162])).
% 38.41/24.81 tff(13167,assumption,(~v84(constB111, bitIndex2)), introduced(assumption)).
% 38.41/24.81 tff(13168,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB111) | (~v113(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13169,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB111) | (~v113(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13170,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB111) | (~v113(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13169, 13168])).
% 38.41/24.81 tff(13171,plain,
% 38.41/24.81 (~v113(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13170, 281, 13162])).
% 38.41/24.81 tff(13172,assumption,(~v113(constB111)), introduced(assumption)).
% 38.41/24.81 tff(13173,assumption,(~v84(constB111, bitIndex1)), introduced(assumption)).
% 38.41/24.81 tff(13174,assumption,(~v145(constB111)), introduced(assumption)).
% 38.41/24.81 tff(13175,plain,
% 38.41/24.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13176,plain,
% 38.41/24.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13177,plain,
% 38.41/24.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111)),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13176, 13175])).
% 38.41/24.81 tff(13178,plain,
% 38.41/24.81 ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v145(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13177, 1356, 13167])).
% 38.41/24.81 tff(13179,plain,
% 38.41/24.81 (~v84(constB111, bitIndex0)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13178, 13173, 13174])).
% 38.41/24.81 tff(13180,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13181,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13182,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2)),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 38.41/24.81 tff(13183,plain,
% 38.41/24.81 (v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13182, 270, 13167])).
% 38.41/24.81 tff(13184,plain,
% 38.41/24.81 ($false),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13183, 13179, 13173, 13172])).
% 38.41/24.81 tff(13185,plain,(v84(constB111, bitIndex1) | v113(constB111) | v84(constB111, bitIndex2) | v145(constB111)), inference(lemma,lemma(discharge,[]))).
% 38.41/24.81 tff(13186,plain,
% 38.41/24.81 (v84(constB111, bitIndex1)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13185, 13171, 13167, 13166])).
% 38.41/24.81 tff(13187,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB111) | (~v116(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13188,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB111) | (~v116(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13189,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB111) | (~v116(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13188, 13187])).
% 38.41/24.81 tff(13190,plain,
% 38.41/24.81 (~v116(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13189, 1843, 13150])).
% 38.41/24.81 tff(13191,plain,
% 38.41/24.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13192,plain,
% 38.41/24.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13193,plain,
% 38.41/24.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111)),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13192, 13191])).
% 38.41/24.81 tff(13194,plain,
% 38.41/24.81 ((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v116(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13193, 1832, 13167])).
% 38.41/24.81 tff(13195,plain,
% 38.41/24.81 (~v84(constB111, bitIndex0)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13194, 13186, 13190])).
% 38.41/24.81 tff(13196,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v115(constB111))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v115(constB111))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13197,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v115(constB111))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13198,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v115(constB111)),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13197, 13196])).
% 38.41/24.81 tff(13199,plain,
% 38.41/24.81 (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v115(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13198, 1598, 13167])).
% 38.41/24.81 tff(13200,plain,
% 38.41/24.81 ($false),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13199, 13195, 13186, 13158])).
% 38.41/24.81 tff(13201,plain,(v110(constB111) | v84(constB111, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 38.41/24.81 tff(13202,plain,
% 38.41/24.81 (v110(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13201, 13149])).
% 38.41/24.81 tff(13203,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB111) | (~v110(constB111)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB111) | (~v110(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13204,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB111) | (~v110(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13205,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB111) | (~v110(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13204, 13203])).
% 38.41/24.81 tff(13206,plain,
% 38.41/24.81 (v109(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13205, 314, 13202])).
% 38.41/24.81 tff(13207,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB111) | (~v109(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB111) | (~v109(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13208,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB111) | (~v109(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13209,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB111) | (~v109(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13208, 13207])).
% 38.41/24.81 tff(13210,plain,
% 38.41/24.81 (v108(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13209, 325, 13206])).
% 38.41/24.81 tff(13211,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB111) | (~v108(constB111)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB111) | (~v108(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13212,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB111) | (~v108(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13213,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB111) | (~v108(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 38.41/24.81 tff(13214,plain,
% 38.41/24.81 (v107(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13213, 336, 13210])).
% 38.41/24.81 tff(13215,assumption,(v26(constB111)), introduced(assumption)).
% 38.41/24.81 tff(13216,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13217,plain,
% 38.41/24.81 ($false),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13216, 120, 13215])).
% 38.41/24.81 tff(13218,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 38.41/24.81 tff(13219,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | v106(constB111) | (~v107(constB111)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13220,plain,
% 38.41/24.81 ((v26(constB111) | (~v107(constB111)) | v106(constB111)) <=> (v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13221,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | v106(constB111) | (~v107(constB111))))),
% 38.41/24.81 inference(monotonicity,[status(thm)],[13220])).
% 38.41/24.81 tff(13222,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 38.41/24.81 inference(transitivity,[status(thm)],[13221, 13219])).
% 38.41/24.81 tff(13223,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13224,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111))),
% 38.41/24.81 inference(modus_ponens,[status(thm)],[13223, 13222])).
% 38.41/24.81 tff(13225,plain,
% 38.41/24.81 (v106(constB111) | (~v107(constB111))),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13224, 350, 13218])).
% 38.41/24.81 tff(13226,plain,
% 38.41/24.81 (v106(constB111)),
% 38.41/24.81 inference(unit_resolution,[status(thm)],[13225, 13214])).
% 38.41/24.81 tff(13227,plain,
% 38.41/24.81 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB111) | (~v106(constB111)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB111) | (~v106(constB111)))),
% 38.41/24.81 inference(rewrite,[status(thm)],[])).
% 38.41/24.81 tff(13228,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB111) | (~v106(constB111)))),
% 38.41/24.81 inference(quant_inst,[status(thm)],[])).
% 38.41/24.81 tff(13229,plain,
% 38.41/24.81 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB111) | (~v106(constB111))),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 38.41/24.82 tff(13230,plain,
% 38.41/24.82 (v102(constB111)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13229, 362, 13226])).
% 38.41/24.82 tff(13231,plain,
% 38.41/24.82 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13232,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 38.41/24.82 tff(13233,plain,
% 38.41/24.82 (nextState(constB111, constB112)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 38.41/24.82 tff(13234,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13235,plain,
% 38.41/24.82 (((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13236,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))))),
% 38.41/24.82 inference(monotonicity,[status(thm)],[13235])).
% 38.41/24.82 tff(13237,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 38.41/24.82 inference(transitivity,[status(thm)],[13236, 13234])).
% 38.41/24.82 tff(13238,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13239,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13238, 13237])).
% 38.41/24.82 tff(13240,plain,
% 38.41/24.82 (v104(constB112) | (~v102(constB111))),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13239, 379, 13233])).
% 38.41/24.82 tff(13241,plain,
% 38.41/24.82 (v104(constB112)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13240, 13230])).
% 38.41/24.82 tff(13242,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13243,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13244,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112))),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13243, 13242])).
% 38.41/24.82 tff(13245,plain,
% 38.41/24.82 (~v98(constB112)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13244, 397, 13233, 13125])).
% 38.41/24.82 tff(13246,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13247,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13248,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13247, 13246])).
% 38.41/24.82 tff(13249,plain,
% 38.41/24.82 (v96(constB112) | v98(constB112)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13248, 411, 13233])).
% 38.41/24.82 tff(13250,plain,
% 38.41/24.82 (v96(constB112)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13249, 13245])).
% 38.41/24.82 tff(13251,plain,
% 38.41/24.82 (v1(constB112) <=> v1(constB112)),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13252,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 38.41/24.82 tff(13253,plain,
% 38.41/24.82 (v1(constB112)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 38.41/24.82 tff(13254,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13255,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13256,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112))),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 38.41/24.82 tff(13257,plain,
% 38.41/24.82 (v95(constB112) | (~v96(constB112))),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13256, 429, 13233, 13253])).
% 38.41/24.82 tff(13258,plain,
% 38.41/24.82 (v95(constB112)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13257, 13250])).
% 38.41/24.82 tff(13259,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13260,plain,
% 38.41/24.82 (((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112)) <=> ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13261,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112))))),
% 38.41/24.82 inference(monotonicity,[status(thm)],[13260])).
% 38.41/24.82 tff(13262,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 38.41/24.82 inference(transitivity,[status(thm)],[13261, 13259])).
% 38.41/24.82 tff(13263,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13264,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112))),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13263, 13262])).
% 38.41/24.82 tff(13265,plain,
% 38.41/24.82 (v94(constB112) | (~v95(constB112)) | (~v104(constB112))),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13264, 444, 13233])).
% 38.41/24.82 tff(13266,plain,
% 38.41/24.82 (v94(constB112) | (~v104(constB112))),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13265, 13258])).
% 38.41/24.82 tff(13267,plain,
% 38.41/24.82 (v94(constB112)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13266, 13241])).
% 38.41/24.82 tff(13268,plain,
% 38.41/24.82 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB109)) | v124(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB109)) | v124(constB109, bitIndex1))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13269,plain,
% 38.41/24.82 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB109)) | v124(constB109, bitIndex1))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13270,plain,
% 38.41/24.82 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB109)) | v124(constB109, bitIndex1)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13269, 13268])).
% 38.41/24.82 tff(13271,plain,
% 38.41/24.82 (v124(constB109, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13270, 1750, 13019])).
% 38.41/24.82 tff(13272,plain,
% 38.41/24.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB109) | (~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB109) | (~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13273,plain,
% 38.41/24.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB109) | (~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13274,plain,
% 38.41/24.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB109) | (~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13273, 13272])).
% 38.41/24.82 tff(13275,plain,
% 38.41/24.82 ((~v124(constB109, bitIndex1)) | v121(constB109, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13274, 875, 13101])).
% 38.41/24.82 tff(13276,plain,
% 38.41/24.82 (v121(constB109, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13275, 13271])).
% 38.41/24.82 tff(13277,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13278,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13279,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13278, 13277])).
% 38.41/24.82 tff(13280,plain,
% 38.41/24.82 ((~v121(constB109, bitIndex1)) | v123(constB110, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13279, 890, 13059])).
% 38.41/24.82 tff(13281,plain,
% 38.41/24.82 (v123(constB110, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13280, 13276])).
% 38.41/24.82 tff(13282,plain,
% 38.41/24.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13283,plain,
% 38.41/24.82 ((v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1))) <=> (v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13284,plain,
% 38.41/24.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110))))),
% 38.41/24.82 inference(monotonicity,[status(thm)],[13283])).
% 38.41/24.82 tff(13285,plain,
% 38.41/24.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110)))),
% 38.41/24.82 inference(transitivity,[status(thm)],[13284, 13282])).
% 38.41/24.82 tff(13286,plain,
% 38.41/24.82 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1)))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13287,plain,
% 38.41/24.82 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)) | (~v94(constB110))),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13286, 13285])).
% 38.41/24.82 tff(13288,plain,
% 38.41/24.82 (v84(constB110, bitIndex1) | (~v94(constB110))),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13287, 905, 13281])).
% 38.41/24.82 tff(13289,plain,
% 38.41/24.82 (v84(constB110, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13288, 13093])).
% 38.41/24.82 tff(13290,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13291,plain,
% 38.41/24.82 (((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1)) <=> ((~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13292,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1)))),
% 38.41/24.82 inference(monotonicity,[status(thm)],[13291])).
% 38.41/24.82 tff(13293,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1))),
% 38.41/24.82 inference(transitivity,[status(thm)],[13292, 13290])).
% 38.41/24.82 tff(13294,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13295,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex1)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13294, 13293])).
% 38.41/24.82 tff(13296,plain,
% 38.41/24.82 ((~v84(constB110, bitIndex1)) | v94(constB111) | v84(constB111, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13295, 923, 13128])).
% 38.41/24.82 tff(13297,plain,
% 38.41/24.82 ((~v84(constB110, bitIndex1)) | v84(constB111, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13296, 13140])).
% 38.41/24.82 tff(13298,plain,
% 38.41/24.82 (v84(constB111, bitIndex1)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13297, 13289])).
% 38.41/24.82 tff(13299,plain,
% 38.41/24.82 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB109)) | v124(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB109)) | v124(constB109, bitIndex0))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13300,plain,
% 38.41/24.82 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB109)) | v124(constB109, bitIndex0))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13301,plain,
% 38.41/24.82 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB109)) | v124(constB109, bitIndex0)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13300, 13299])).
% 38.41/24.82 tff(13302,plain,
% 38.41/24.82 (v124(constB109, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13301, 1791, 13019])).
% 38.41/24.82 tff(13303,plain,
% 38.41/24.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13304,plain,
% 38.41/24.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13305,plain,
% 38.41/24.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13304, 13303])).
% 38.41/24.82 tff(13306,plain,
% 38.41/24.82 ((~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13305, 1289, 13101])).
% 38.41/24.82 tff(13307,plain,
% 38.41/24.82 (v121(constB109, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13306, 13302])).
% 38.41/24.82 tff(13308,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13309,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13310,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13309, 13308])).
% 38.41/24.82 tff(13311,plain,
% 38.41/24.82 ((~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13310, 1304, 13059])).
% 38.41/24.82 tff(13312,plain,
% 38.41/24.82 (v123(constB110, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13311, 13307])).
% 38.41/24.82 tff(13313,plain,
% 38.41/24.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13314,plain,
% 38.41/24.82 ((v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0))) <=> (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13315,plain,
% 38.41/24.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110))))),
% 38.41/24.82 inference(monotonicity,[status(thm)],[13314])).
% 38.41/24.82 tff(13316,plain,
% 38.41/24.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 38.41/24.82 inference(transitivity,[status(thm)],[13315, 13313])).
% 38.41/24.82 tff(13317,plain,
% 38.41/24.82 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13318,plain,
% 38.41/24.82 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110))),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13317, 13316])).
% 38.41/24.82 tff(13319,plain,
% 38.41/24.82 (v84(constB110, bitIndex0) | (~v94(constB110))),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13318, 1319, 13312])).
% 38.41/24.82 tff(13320,plain,
% 38.41/24.82 (v84(constB110, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13319, 13093])).
% 38.41/24.82 tff(13321,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13322,plain,
% 38.41/24.82 (((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0)) <=> ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13323,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0)))),
% 38.41/24.82 inference(monotonicity,[status(thm)],[13322])).
% 38.41/24.82 tff(13324,plain,
% 38.41/24.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 38.41/24.82 inference(transitivity,[status(thm)],[13323, 13321])).
% 38.41/24.82 tff(13325,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13326,plain,
% 38.41/24.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13325, 13324])).
% 38.41/24.82 tff(13327,plain,
% 38.41/24.82 ((~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13326, 1337, 13128])).
% 38.41/24.82 tff(13328,plain,
% 38.41/24.82 ((~v84(constB110, bitIndex0)) | v84(constB111, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13327, 13140])).
% 38.41/24.82 tff(13329,plain,
% 38.41/24.82 (v84(constB111, bitIndex0)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13328, 13320])).
% 38.41/24.82 tff(13330,plain,
% 38.41/24.82 (v116(constB111)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13193, 1832, 13329, 13298, 13149])).
% 38.41/24.82 tff(13331,plain,
% 38.41/24.82 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB111)) | v124(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB111)) | v124(constB111, bitIndex2))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13332,plain,
% 38.41/24.82 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB111)) | v124(constB111, bitIndex2))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13333,plain,
% 38.41/24.82 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB111)) | v124(constB111, bitIndex2)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13332, 13331])).
% 38.41/24.82 tff(13334,plain,
% 38.41/24.82 (v124(constB111, bitIndex2)),
% 38.41/24.82 inference(unit_resolution,[status(thm)],[13333, 1918, 13330])).
% 38.41/24.82 tff(13335,plain,
% 38.41/24.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB111) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB111) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))),
% 38.41/24.82 inference(rewrite,[status(thm)],[])).
% 38.41/24.82 tff(13336,plain,
% 38.41/24.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB111) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))),
% 38.41/24.82 inference(quant_inst,[status(thm)],[])).
% 38.41/24.82 tff(13337,plain,
% 38.41/24.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB111) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2)),
% 38.41/24.82 inference(modus_ponens,[status(thm)],[13336, 13335])).
% 38.41/24.83 tff(13338,plain,
% 38.41/24.83 ((~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13337, 477, 13218])).
% 38.41/24.83 tff(13339,plain,
% 38.41/24.83 (v121(constB111, bitIndex2)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13338, 13334])).
% 38.41/24.83 tff(13340,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13341,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13342,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2)),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13341, 13340])).
% 38.41/24.83 tff(13343,plain,
% 38.41/24.83 ((~v121(constB111, bitIndex2)) | v123(constB112, bitIndex2)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13342, 492, 13233])).
% 38.41/24.83 tff(13344,plain,
% 38.41/24.83 (v123(constB112, bitIndex2)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13343, 13339])).
% 38.41/24.83 tff(13345,plain,
% 38.41/24.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13346,plain,
% 38.41/24.83 ((v84(constB112, bitIndex2) | (~v94(constB112)) | (~v123(constB112, bitIndex2))) <=> (v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13347,plain,
% 38.41/24.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v94(constB112)) | (~v123(constB112, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112))))),
% 38.41/24.83 inference(monotonicity,[status(thm)],[13346])).
% 38.41/24.83 tff(13348,plain,
% 38.41/24.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v94(constB112)) | (~v123(constB112, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112)))),
% 38.41/24.83 inference(transitivity,[status(thm)],[13347, 13345])).
% 38.41/24.83 tff(13349,plain,
% 38.41/24.83 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~v94(constB112)) | (~v123(constB112, bitIndex2)))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13350,plain,
% 38.41/24.83 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)) | (~v94(constB112))),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13349, 13348])).
% 38.41/24.83 tff(13351,plain,
% 38.41/24.83 (v84(constB112, bitIndex2) | (~v94(constB112))),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13350, 507, 13344])).
% 38.41/24.83 tff(13352,plain,
% 38.41/24.83 (v84(constB112, bitIndex2)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13351, 13267])).
% 38.41/24.83 tff(13353,plain,
% 38.41/24.83 ((~v1(constB113)) <=> (~v1(constB113))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13354,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 38.41/24.83 tff(13355,plain,
% 38.41/24.83 (~v1(constB113)),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13354, 13353])).
% 38.41/24.83 tff(13356,plain,
% 38.41/24.83 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13357,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 38.41/24.83 tff(13358,plain,
% 38.41/24.83 (nextState(constB112, constB113)),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 38.41/24.83 tff(13359,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13360,plain,
% 38.41/24.83 (((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13361,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))))),
% 38.41/24.83 inference(monotonicity,[status(thm)],[13360])).
% 38.41/24.83 tff(13362,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 38.41/24.83 inference(transitivity,[status(thm)],[13361, 13359])).
% 38.41/24.83 tff(13363,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13364,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13363, 13362])).
% 38.41/24.83 tff(13365,plain,
% 38.41/24.83 (~v95(constB113)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13364, 175, 13358, 13355])).
% 38.41/24.83 tff(13366,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13367,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13368,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113))),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13367, 13366])).
% 38.41/24.83 tff(13369,plain,
% 38.41/24.83 (v95(constB113) | (~v94(constB113))),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13368, 192, 13358])).
% 38.41/24.83 tff(13370,plain,
% 38.41/24.83 (~v94(constB113)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13369, 13365])).
% 38.41/24.83 tff(13371,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13372,plain,
% 38.41/24.83 (((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2)) <=> ((~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13373,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2)))),
% 38.41/24.83 inference(monotonicity,[status(thm)],[13372])).
% 38.41/24.83 tff(13374,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2))),
% 38.41/24.83 inference(transitivity,[status(thm)],[13373, 13371])).
% 38.41/24.83 tff(13375,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13376,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex2)),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 38.41/24.83 tff(13377,plain,
% 38.41/24.83 ((~v84(constB112, bitIndex2)) | v94(constB113) | v84(constB113, bitIndex2)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13376, 543, 13358])).
% 38.41/24.83 tff(13378,plain,
% 38.41/24.83 ((~v84(constB112, bitIndex2)) | v84(constB113, bitIndex2)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13377, 13370])).
% 38.41/24.83 tff(13379,plain,
% 38.41/24.83 (v84(constB113, bitIndex2)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13378, 13352])).
% 38.41/24.83 tff(13380,plain,
% 38.41/24.83 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB111)) | (~v124(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB111)) | (~v124(constB111, bitIndex1)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13381,plain,
% 38.41/24.83 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB111)) | (~v124(constB111, bitIndex1)))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13382,plain,
% 38.41/24.83 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB111)) | (~v124(constB111, bitIndex1))),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13381, 13380])).
% 38.41/24.83 tff(13383,plain,
% 38.41/24.83 (~v124(constB111, bitIndex1)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13382, 1977, 13330])).
% 38.41/24.83 tff(13384,plain,
% 38.41/24.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13385,plain,
% 38.41/24.83 ((v26(constB111) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1))) <=> ((~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13386,plain,
% 38.41/24.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB111) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1)))),
% 38.41/24.83 inference(monotonicity,[status(thm)],[13385])).
% 38.41/24.83 tff(13387,plain,
% 38.41/24.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB111) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1))),
% 38.41/24.83 inference(transitivity,[status(thm)],[13386, 13384])).
% 38.41/24.83 tff(13388,plain,
% 38.41/24.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB111) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13389,plain,
% 38.41/24.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB111, bitIndex1)) | v26(constB111) | v124(constB111, bitIndex1)),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 38.41/24.83 tff(13390,plain,
% 38.41/24.83 ((~v121(constB111, bitIndex1)) | v124(constB111, bitIndex1)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13389, 576, 13218])).
% 38.41/24.83 tff(13391,plain,
% 38.41/24.83 (~v121(constB111, bitIndex1)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13390, 13383])).
% 38.41/24.83 tff(13392,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13393,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1)))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13394,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1))),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13393, 13392])).
% 38.41/24.83 tff(13395,plain,
% 38.41/24.83 (v121(constB111, bitIndex1) | (~v123(constB112, bitIndex1))),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13394, 594, 13233])).
% 38.41/24.83 tff(13396,plain,
% 38.41/24.83 (~v123(constB112, bitIndex1)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13395, 13391])).
% 38.41/24.83 tff(13397,plain,
% 38.41/24.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13398,plain,
% 38.41/24.83 (((~v84(constB112, bitIndex1)) | (~v94(constB112)) | v123(constB112, bitIndex1)) <=> ((~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13399,plain,
% 38.41/24.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~v94(constB112)) | v123(constB112, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112))))),
% 38.41/24.83 inference(monotonicity,[status(thm)],[13398])).
% 38.41/24.83 tff(13400,plain,
% 38.41/24.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~v94(constB112)) | v123(constB112, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112)))),
% 38.41/24.83 inference(transitivity,[status(thm)],[13399, 13397])).
% 38.41/24.83 tff(13401,plain,
% 38.41/24.83 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~v94(constB112)) | v123(constB112, bitIndex1))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13402,plain,
% 38.41/24.83 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1) | (~v94(constB112))),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13401, 13400])).
% 38.41/24.83 tff(13403,plain,
% 38.41/24.83 ((~v84(constB112, bitIndex1)) | (~v94(constB112))),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13402, 609, 13396])).
% 38.41/24.83 tff(13404,plain,
% 38.41/24.83 (~v84(constB112, bitIndex1)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13403, 13267])).
% 38.41/24.83 tff(13405,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13406,plain,
% 38.41/24.83 (((~nextState(constB112, constB113)) | v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1))) <=> (v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13407,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1))))),
% 38.41/24.83 inference(monotonicity,[status(thm)],[13406])).
% 38.41/24.83 tff(13408,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1)))),
% 38.41/24.83 inference(transitivity,[status(thm)],[13407, 13405])).
% 38.41/24.83 tff(13409,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1)))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13410,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex1))),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 38.41/24.83 tff(13411,plain,
% 38.41/24.83 (v84(constB112, bitIndex1) | v94(constB113) | (~v84(constB113, bitIndex1))),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13410, 228, 13358])).
% 38.41/24.83 tff(13412,plain,
% 38.41/24.83 (v84(constB112, bitIndex1) | (~v84(constB113, bitIndex1))),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13411, 13370])).
% 38.41/24.83 tff(13413,plain,
% 38.41/24.83 (~v84(constB113, bitIndex1)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13412, 13404])).
% 38.41/24.83 tff(13414,plain,
% 38.41/24.83 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB111)) | (~v124(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB111)) | (~v124(constB111, bitIndex0)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13415,plain,
% 38.41/24.83 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB111)) | (~v124(constB111, bitIndex0)))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13416,plain,
% 38.41/24.83 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB111)) | (~v124(constB111, bitIndex0))),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13415, 13414])).
% 38.41/24.83 tff(13417,plain,
% 38.41/24.83 (~v124(constB111, bitIndex0)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13416, 2021, 13330])).
% 38.41/24.83 tff(13418,plain,
% 38.41/24.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13419,plain,
% 38.41/24.83 ((v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0))) <=> ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13420,plain,
% 38.41/24.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0)))),
% 38.41/24.83 inference(monotonicity,[status(thm)],[13419])).
% 38.41/24.83 tff(13421,plain,
% 38.41/24.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 38.41/24.83 inference(transitivity,[status(thm)],[13420, 13418])).
% 38.41/24.83 tff(13422,plain,
% 38.41/24.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))),
% 38.41/24.83 inference(quant_inst,[status(thm)],[])).
% 38.41/24.83 tff(13423,plain,
% 38.41/24.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0)),
% 38.41/24.83 inference(modus_ponens,[status(thm)],[13422, 13421])).
% 38.41/24.83 tff(13424,plain,
% 38.41/24.83 ((~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13423, 650, 13218])).
% 38.41/24.83 tff(13425,plain,
% 38.41/24.83 (~v121(constB111, bitIndex0)),
% 38.41/24.83 inference(unit_resolution,[status(thm)],[13424, 13417])).
% 38.41/24.83 tff(13426,plain,
% 38.41/24.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 38.41/24.83 inference(rewrite,[status(thm)],[])).
% 38.41/24.83 tff(13427,plain,
% 38.41/24.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13428,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13427, 13426])).
% 38.41/24.84 tff(13429,plain,
% 38.41/24.84 (v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13428, 668, 13233])).
% 38.41/24.84 tff(13430,plain,
% 38.41/24.84 (~v123(constB112, bitIndex0)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13429, 13425])).
% 38.41/24.84 tff(13431,plain,
% 38.41/24.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13432,plain,
% 38.41/24.84 (((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0)) <=> ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13433,plain,
% 38.41/24.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112))))),
% 38.41/24.84 inference(monotonicity,[status(thm)],[13432])).
% 38.41/24.84 tff(13434,plain,
% 38.41/24.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 38.41/24.84 inference(transitivity,[status(thm)],[13433, 13431])).
% 38.41/24.84 tff(13435,plain,
% 38.41/24.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13436,plain,
% 38.41/24.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13435, 13434])).
% 38.41/24.84 tff(13437,plain,
% 38.41/24.84 ((~v84(constB112, bitIndex0)) | (~v94(constB112))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13436, 683, 13430])).
% 38.41/24.84 tff(13438,plain,
% 38.41/24.84 (~v84(constB112, bitIndex0)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13437, 13267])).
% 38.41/24.84 tff(13439,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13440,plain,
% 38.41/24.84 (((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0))) <=> (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13441,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0))))),
% 38.41/24.84 inference(monotonicity,[status(thm)],[13440])).
% 38.41/24.84 tff(13442,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 38.41/24.84 inference(transitivity,[status(thm)],[13441, 13439])).
% 38.41/24.84 tff(13443,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13444,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13443, 13442])).
% 38.41/24.84 tff(13445,plain,
% 38.41/24.84 (v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13444, 249, 13358])).
% 38.41/24.84 tff(13446,plain,
% 38.41/24.84 (v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13445, 13370])).
% 38.41/24.84 tff(13447,plain,
% 38.41/24.84 (~v84(constB113, bitIndex0)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13446, 13438])).
% 38.41/24.84 tff(13448,plain,
% 38.41/24.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13449,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13450,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13449, 13448])).
% 38.41/24.84 tff(13451,plain,
% 38.41/24.84 (v172(constB113)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13450, 710, 13447, 13413, 13379])).
% 38.41/24.84 tff(13452,plain,
% 38.41/24.84 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB113) | (~v172(constB113)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB113) | (~v172(constB113)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13453,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB113) | (~v172(constB113)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13454,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB113) | (~v172(constB113))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13453, 13452])).
% 38.41/24.84 tff(13455,plain,
% 38.41/24.84 (v109(constB113)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13454, 764, 13451])).
% 38.41/24.84 tff(13456,plain,
% 38.41/24.84 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB113) | (~v109(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB113) | (~v109(constB113)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13457,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB113) | (~v109(constB113)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13458,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB113) | (~v109(constB113))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13457, 13456])).
% 38.41/24.84 tff(13459,plain,
% 38.41/24.84 (v108(constB113)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13458, 325, 13455])).
% 38.41/24.84 tff(13460,plain,
% 38.41/24.84 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB113) | (~v108(constB113)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB113) | (~v108(constB113)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13461,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB113) | (~v108(constB113)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13462,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB113) | (~v108(constB113))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13461, 13460])).
% 38.41/24.84 tff(13463,plain,
% 38.41/24.84 (v107(constB113)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13462, 336, 13459])).
% 38.41/24.84 tff(13464,assumption,(~v102(constB113)), introduced(assumption)).
% 38.41/24.84 tff(13465,plain,
% 38.41/24.84 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB113) | (~v106(constB113)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB113) | (~v106(constB113)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13466,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB113) | (~v106(constB113)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13467,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB113) | (~v106(constB113))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13466, 13465])).
% 38.41/24.84 tff(13468,plain,
% 38.41/24.84 (~v106(constB113)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13467, 362, 13464])).
% 38.41/24.84 tff(13469,plain,
% 38.41/24.84 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB113) | (~v26(constB113)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB113) | (~v26(constB113)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13470,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB113) | (~v26(constB113)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13471,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB113) | (~v26(constB113))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13470, 13469])).
% 38.41/24.84 tff(13472,plain,
% 38.41/24.84 (~v26(constB113)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13471, 753, 13464])).
% 38.41/24.84 tff(13473,assumption,(v107(constB113)), introduced(assumption)).
% 38.41/24.84 tff(13474,plain,
% 38.41/24.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | (~v107(constB113)) | v106(constB113))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13475,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13476,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | (~v107(constB113)) | v106(constB113)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13475, 13474])).
% 38.41/24.84 tff(13477,plain,
% 38.41/24.84 (v26(constB113) | v106(constB113)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13476, 350, 13473])).
% 38.41/24.84 tff(13478,plain,
% 38.41/24.84 ($false),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13477, 13472, 13468])).
% 38.41/24.84 tff(13479,plain,(v102(constB113) | (~v107(constB113))), inference(lemma,lemma(discharge,[]))).
% 38.41/24.84 tff(13480,plain,
% 38.41/24.84 (v102(constB113)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13479, 13463])).
% 38.41/24.84 tff(13481,plain,
% 38.41/24.84 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13482,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 38.41/24.84 tff(13483,plain,
% 38.41/24.84 (nextState(constB113, constB114)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13482, 13481])).
% 38.41/24.84 tff(13484,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13485,plain,
% 38.41/24.84 (((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13486,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))))),
% 38.41/24.84 inference(monotonicity,[status(thm)],[13485])).
% 38.41/24.84 tff(13487,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 38.41/24.84 inference(transitivity,[status(thm)],[13486, 13484])).
% 38.41/24.84 tff(13488,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13489,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13488, 13487])).
% 38.41/24.84 tff(13490,plain,
% 38.41/24.84 (v104(constB114) | (~v102(constB113))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13489, 379, 13483])).
% 38.41/24.84 tff(13491,plain,
% 38.41/24.84 (v104(constB114)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13490, 13480])).
% 38.41/24.84 tff(13492,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13493,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13494,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13493, 13492])).
% 38.41/24.84 tff(13495,plain,
% 38.41/24.84 (~v98(constB114)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13494, 397, 13483, 13355])).
% 38.41/24.84 tff(13496,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13497,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13498,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13497, 13496])).
% 38.41/24.84 tff(13499,plain,
% 38.41/24.84 (v96(constB114) | v98(constB114)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13498, 411, 13483])).
% 38.41/24.84 tff(13500,plain,
% 38.41/24.84 (v96(constB114)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13499, 13495])).
% 38.41/24.84 tff(13501,plain,
% 38.41/24.84 (v1(constB114) <=> v1(constB114)),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13502,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 38.41/24.84 tff(13503,plain,
% 38.41/24.84 (v1(constB114)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13502, 13501])).
% 38.41/24.84 tff(13504,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13505,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13506,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13505, 13504])).
% 38.41/24.84 tff(13507,plain,
% 38.41/24.84 (v95(constB114) | (~v96(constB114))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13506, 429, 13483, 13503])).
% 38.41/24.84 tff(13508,plain,
% 38.41/24.84 (v95(constB114)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13507, 13500])).
% 38.41/24.84 tff(13509,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13510,plain,
% 38.41/24.84 (((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114)) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13511,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114))))),
% 38.41/24.84 inference(monotonicity,[status(thm)],[13510])).
% 38.41/24.84 tff(13512,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 38.41/24.84 inference(transitivity,[status(thm)],[13511, 13509])).
% 38.41/24.84 tff(13513,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13514,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13513, 13512])).
% 38.41/24.84 tff(13515,plain,
% 38.41/24.84 (v94(constB114) | (~v95(constB114)) | (~v104(constB114))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13514, 444, 13483])).
% 38.41/24.84 tff(13516,plain,
% 38.41/24.84 (v94(constB114) | (~v104(constB114))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13515, 13508])).
% 38.41/24.84 tff(13517,plain,
% 38.41/24.84 (v94(constB114)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13516, 13491])).
% 38.41/24.84 tff(13518,plain,
% 38.41/24.84 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB113)) | v124(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB113)) | v124(constB113, bitIndex2))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13519,plain,
% 38.41/24.84 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB113)) | v124(constB113, bitIndex2))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13520,plain,
% 38.41/24.84 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB113)) | v124(constB113, bitIndex2)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13519, 13518])).
% 38.41/24.84 tff(13521,plain,
% 38.41/24.84 (v124(constB113, bitIndex2)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13520, 724, 13451])).
% 38.41/24.84 tff(13522,assumption,(v26(constB113)), introduced(assumption)).
% 38.41/24.84 tff(13523,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13524,plain,
% 38.41/24.84 ($false),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13523, 120, 13522])).
% 38.41/24.84 tff(13525,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 38.41/24.84 tff(13526,plain,
% 38.41/24.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB113) | (~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB113) | (~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13527,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB113) | (~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13528,plain,
% 38.41/24.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB113) | (~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13527, 13526])).
% 38.41/24.84 tff(13529,plain,
% 38.41/24.84 ((~v124(constB113, bitIndex2)) | v121(constB113, bitIndex2)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13528, 477, 13525])).
% 38.41/24.84 tff(13530,plain,
% 38.41/24.84 (v121(constB113, bitIndex2)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13529, 13521])).
% 38.41/24.84 tff(13531,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13532,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13533,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13532, 13531])).
% 38.41/24.84 tff(13534,plain,
% 38.41/24.84 ((~v121(constB113, bitIndex2)) | v123(constB114, bitIndex2)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13533, 492, 13483])).
% 38.41/24.84 tff(13535,plain,
% 38.41/24.84 (v123(constB114, bitIndex2)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13534, 13530])).
% 38.41/24.84 tff(13536,plain,
% 38.41/24.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13537,plain,
% 38.41/24.84 ((v84(constB114, bitIndex2) | (~v94(constB114)) | (~v123(constB114, bitIndex2))) <=> (v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13538,plain,
% 38.41/24.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v94(constB114)) | (~v123(constB114, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114))))),
% 38.41/24.84 inference(monotonicity,[status(thm)],[13537])).
% 38.41/24.84 tff(13539,plain,
% 38.41/24.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v94(constB114)) | (~v123(constB114, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114)))),
% 38.41/24.84 inference(transitivity,[status(thm)],[13538, 13536])).
% 38.41/24.84 tff(13540,plain,
% 38.41/24.84 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~v94(constB114)) | (~v123(constB114, bitIndex2)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13541,plain,
% 38.41/24.84 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)) | (~v94(constB114))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 38.41/24.84 tff(13542,plain,
% 38.41/24.84 (v84(constB114, bitIndex2) | (~v94(constB114))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13541, 507, 13535])).
% 38.41/24.84 tff(13543,plain,
% 38.41/24.84 (v84(constB114, bitIndex2)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13542, 13517])).
% 38.41/24.84 tff(13544,plain,
% 38.41/24.84 ((~v1(constB115)) <=> (~v1(constB115))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13545,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 38.41/24.84 tff(13546,plain,
% 38.41/24.84 (~v1(constB115)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13545, 13544])).
% 38.41/24.84 tff(13547,plain,
% 38.41/24.84 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13548,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 38.41/24.84 tff(13549,plain,
% 38.41/24.84 (nextState(constB114, constB115)),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13548, 13547])).
% 38.41/24.84 tff(13550,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13551,plain,
% 38.41/24.84 (((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13552,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))))),
% 38.41/24.84 inference(monotonicity,[status(thm)],[13551])).
% 38.41/24.84 tff(13553,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 38.41/24.84 inference(transitivity,[status(thm)],[13552, 13550])).
% 38.41/24.84 tff(13554,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13555,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13554, 13553])).
% 38.41/24.84 tff(13556,plain,
% 38.41/24.84 (~v95(constB115)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13555, 175, 13549, 13546])).
% 38.41/24.84 tff(13557,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13558,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 38.41/24.84 inference(quant_inst,[status(thm)],[])).
% 38.41/24.84 tff(13559,plain,
% 38.41/24.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115))),
% 38.41/24.84 inference(modus_ponens,[status(thm)],[13558, 13557])).
% 38.41/24.84 tff(13560,plain,
% 38.41/24.84 (v95(constB115) | (~v94(constB115))),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13559, 192, 13549])).
% 38.41/24.84 tff(13561,plain,
% 38.41/24.84 (~v94(constB115)),
% 38.41/24.84 inference(unit_resolution,[status(thm)],[13560, 13556])).
% 38.41/24.84 tff(13562,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13563,plain,
% 38.41/24.84 (((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2)) <=> ((~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2))),
% 38.41/24.84 inference(rewrite,[status(thm)],[])).
% 38.41/24.84 tff(13564,plain,
% 38.41/24.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2)))),
% 38.41/24.85 inference(monotonicity,[status(thm)],[13563])).
% 38.41/24.85 tff(13565,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2))),
% 38.41/24.85 inference(transitivity,[status(thm)],[13564, 13562])).
% 38.41/24.85 tff(13566,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13567,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex2)),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 38.41/24.85 tff(13568,plain,
% 38.41/24.85 ((~v84(constB114, bitIndex2)) | v94(constB115) | v84(constB115, bitIndex2)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13567, 543, 13549])).
% 38.41/24.85 tff(13569,plain,
% 38.41/24.85 ((~v84(constB114, bitIndex2)) | v84(constB115, bitIndex2)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13568, 13561])).
% 38.41/24.85 tff(13570,plain,
% 38.41/24.85 (v84(constB115, bitIndex2)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13569, 13543])).
% 38.41/24.85 tff(13571,plain,
% 38.41/24.85 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB113)) | v124(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB113)) | v124(constB113, bitIndex1))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13572,plain,
% 38.41/24.85 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB113)) | v124(constB113, bitIndex1))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13573,plain,
% 38.41/24.85 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB113)) | v124(constB113, bitIndex1)),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13572, 13571])).
% 38.41/24.85 tff(13574,plain,
% 38.41/24.85 (v124(constB113, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13573, 861, 13451])).
% 38.41/24.85 tff(13575,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13576,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13577,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13576, 13575])).
% 38.41/24.85 tff(13578,plain,
% 38.41/24.85 ((~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13577, 875, 13525])).
% 38.41/24.85 tff(13579,plain,
% 38.41/24.85 (v121(constB113, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13578, 13574])).
% 38.41/24.85 tff(13580,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13581,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13582,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1)),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13581, 13580])).
% 38.41/24.85 tff(13583,plain,
% 38.41/24.85 ((~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13582, 890, 13483])).
% 38.41/24.85 tff(13584,plain,
% 38.41/24.85 (v123(constB114, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13583, 13579])).
% 38.41/24.85 tff(13585,plain,
% 38.41/24.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13586,plain,
% 38.41/24.85 ((v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1))) <=> (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13587,plain,
% 38.41/24.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114))))),
% 38.41/24.85 inference(monotonicity,[status(thm)],[13586])).
% 38.41/24.85 tff(13588,plain,
% 38.41/24.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 38.41/24.85 inference(transitivity,[status(thm)],[13587, 13585])).
% 38.41/24.85 tff(13589,plain,
% 38.41/24.85 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13590,plain,
% 38.41/24.85 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13589, 13588])).
% 38.41/24.85 tff(13591,plain,
% 38.41/24.85 (v84(constB114, bitIndex1) | (~v94(constB114))),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13590, 905, 13584])).
% 38.41/24.85 tff(13592,plain,
% 38.41/24.85 (v84(constB114, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13591, 13517])).
% 38.41/24.85 tff(13593,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13594,plain,
% 38.41/24.85 (((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1)) <=> ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13595,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1)))),
% 38.41/24.85 inference(monotonicity,[status(thm)],[13594])).
% 38.41/24.85 tff(13596,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 38.41/24.85 inference(transitivity,[status(thm)],[13595, 13593])).
% 38.41/24.85 tff(13597,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13598,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1)),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13597, 13596])).
% 38.41/24.85 tff(13599,plain,
% 38.41/24.85 ((~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13598, 923, 13549])).
% 38.41/24.85 tff(13600,plain,
% 38.41/24.85 ((~v84(constB114, bitIndex1)) | v84(constB115, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13599, 13561])).
% 38.41/24.85 tff(13601,plain,
% 38.41/24.85 (v84(constB115, bitIndex1)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13600, 13592])).
% 38.41/24.85 tff(13602,plain,
% 38.41/24.85 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB113)) | (~v124(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB113)) | (~v124(constB113, bitIndex0)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13603,plain,
% 38.41/24.85 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB113)) | (~v124(constB113, bitIndex0)))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13604,plain,
% 38.41/24.85 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB113)) | (~v124(constB113, bitIndex0))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13603, 13602])).
% 38.41/24.85 tff(13605,plain,
% 38.41/24.85 (~v124(constB113, bitIndex0)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13604, 942, 13451])).
% 38.41/24.85 tff(13606,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13607,plain,
% 38.41/24.85 ((v26(constB113) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0))) <=> ((~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13608,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB113) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0)))),
% 38.41/24.85 inference(monotonicity,[status(thm)],[13607])).
% 38.41/24.85 tff(13609,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB113) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0))),
% 38.41/24.85 inference(transitivity,[status(thm)],[13608, 13606])).
% 38.41/24.85 tff(13610,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB113) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13611,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB113, bitIndex0)) | v26(constB113) | v124(constB113, bitIndex0)),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13610, 13609])).
% 38.41/24.85 tff(13612,plain,
% 38.41/24.85 ((~v121(constB113, bitIndex0)) | v124(constB113, bitIndex0)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13611, 650, 13525])).
% 38.41/24.85 tff(13613,plain,
% 38.41/24.85 (~v121(constB113, bitIndex0)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13612, 13605])).
% 38.41/24.85 tff(13614,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13615,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0)))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13616,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13615, 13614])).
% 38.41/24.85 tff(13617,plain,
% 38.41/24.85 (v121(constB113, bitIndex0) | (~v123(constB114, bitIndex0))),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13616, 668, 13483])).
% 38.41/24.85 tff(13618,plain,
% 38.41/24.85 (~v123(constB114, bitIndex0)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13617, 13613])).
% 38.41/24.85 tff(13619,plain,
% 38.41/24.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13620,plain,
% 38.41/24.85 (((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0)) <=> ((~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13621,plain,
% 38.41/24.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114))))),
% 38.41/24.85 inference(monotonicity,[status(thm)],[13620])).
% 38.41/24.85 tff(13622,plain,
% 38.41/24.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114)))),
% 38.41/24.85 inference(transitivity,[status(thm)],[13621, 13619])).
% 38.41/24.85 tff(13623,plain,
% 38.41/24.85 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13624,plain,
% 38.41/24.85 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0) | (~v94(constB114))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 38.41/24.85 tff(13625,plain,
% 38.41/24.85 ((~v84(constB114, bitIndex0)) | (~v94(constB114))),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13624, 683, 13618])).
% 38.41/24.85 tff(13626,plain,
% 38.41/24.85 (~v84(constB114, bitIndex0)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13625, 13517])).
% 38.41/24.85 tff(13627,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13628,plain,
% 38.41/24.85 (((~nextState(constB114, constB115)) | v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0))) <=> (v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13629,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0))))),
% 38.41/24.85 inference(monotonicity,[status(thm)],[13628])).
% 38.41/24.85 tff(13630,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0)))),
% 38.41/24.85 inference(transitivity,[status(thm)],[13629, 13627])).
% 38.41/24.85 tff(13631,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0)))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13632,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex0))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13631, 13630])).
% 38.41/24.85 tff(13633,plain,
% 38.41/24.85 (v84(constB114, bitIndex0) | v94(constB115) | (~v84(constB115, bitIndex0))),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13632, 249, 13549])).
% 38.41/24.85 tff(13634,plain,
% 38.41/24.85 (v84(constB114, bitIndex0) | (~v84(constB115, bitIndex0))),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13633, 13561])).
% 38.41/24.85 tff(13635,plain,
% 38.41/24.85 (~v84(constB115, bitIndex0)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13634, 13626])).
% 38.41/24.85 tff(13636,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13637,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13638,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115)),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13637, 13636])).
% 38.41/24.85 tff(13639,plain,
% 38.41/24.85 (v119(constB115)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13638, 986, 13635, 13601, 13570])).
% 38.41/24.85 tff(13640,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB115) | (~v119(constB115)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB115) | (~v119(constB115)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13641,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB115) | (~v119(constB115)))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13642,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB115) | (~v119(constB115))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13641, 13640])).
% 38.41/24.85 tff(13643,plain,
% 38.41/24.85 (v107(constB115)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13642, 997, 13639])).
% 38.41/24.85 tff(13644,assumption,(v26(constB115)), introduced(assumption)).
% 38.41/24.85 tff(13645,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13646,plain,
% 38.41/24.85 ($false),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13645, 120, 13644])).
% 38.41/24.85 tff(13647,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 38.41/24.85 tff(13648,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13649,plain,
% 38.41/24.85 ((v26(constB115) | (~v107(constB115)) | v106(constB115)) <=> (v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13650,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115))))),
% 38.41/24.85 inference(monotonicity,[status(thm)],[13649])).
% 38.41/24.85 tff(13651,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 38.41/24.85 inference(transitivity,[status(thm)],[13650, 13648])).
% 38.41/24.85 tff(13652,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13653,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13652, 13651])).
% 38.41/24.85 tff(13654,plain,
% 38.41/24.85 (v106(constB115) | (~v107(constB115))),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13653, 350, 13647])).
% 38.41/24.85 tff(13655,plain,
% 38.41/24.85 (v106(constB115)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13654, 13643])).
% 38.41/24.85 tff(13656,plain,
% 38.41/24.85 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB115) | (~v106(constB115)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB115) | (~v106(constB115)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13657,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB115) | (~v106(constB115)))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13658,plain,
% 38.41/24.85 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB115) | (~v106(constB115))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 38.41/24.85 tff(13659,plain,
% 38.41/24.85 (v102(constB115)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13658, 362, 13655])).
% 38.41/24.85 tff(13660,plain,
% 38.41/24.85 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13661,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 38.41/24.85 tff(13662,plain,
% 38.41/24.85 (nextState(constB115, constB116)),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 38.41/24.85 tff(13663,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13664,plain,
% 38.41/24.85 (((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13665,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))))),
% 38.41/24.85 inference(monotonicity,[status(thm)],[13664])).
% 38.41/24.85 tff(13666,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 38.41/24.85 inference(transitivity,[status(thm)],[13665, 13663])).
% 38.41/24.85 tff(13667,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13668,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))),
% 38.41/24.85 inference(modus_ponens,[status(thm)],[13667, 13666])).
% 38.41/24.85 tff(13669,plain,
% 38.41/24.85 (v104(constB116) | (~v102(constB115))),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13668, 379, 13662])).
% 38.41/24.85 tff(13670,plain,
% 38.41/24.85 (v104(constB116)),
% 38.41/24.85 inference(unit_resolution,[status(thm)],[13669, 13659])).
% 38.41/24.85 tff(13671,plain,
% 38.41/24.85 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 38.41/24.85 inference(rewrite,[status(thm)],[])).
% 38.41/24.85 tff(13672,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 38.41/24.85 inference(quant_inst,[status(thm)],[])).
% 38.41/24.85 tff(13673,plain,
% 38.41/24.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13672, 13671])).
% 38.41/24.86 tff(13674,plain,
% 38.41/24.86 (~v98(constB116)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13673, 397, 13662, 13546])).
% 38.41/24.86 tff(13675,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13676,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13677,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116)),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13676, 13675])).
% 38.41/24.86 tff(13678,plain,
% 38.41/24.86 (v96(constB116) | v98(constB116)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13677, 411, 13662])).
% 38.41/24.86 tff(13679,plain,
% 38.41/24.86 (v96(constB116)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13678, 13674])).
% 38.41/24.86 tff(13680,plain,
% 38.41/24.86 (v1(constB116) <=> v1(constB116)),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13681,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 38.41/24.86 tff(13682,plain,
% 38.41/24.86 (v1(constB116)),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 38.41/24.86 tff(13683,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13684,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13685,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13684, 13683])).
% 38.41/24.86 tff(13686,plain,
% 38.41/24.86 (v95(constB116) | (~v96(constB116))),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13685, 429, 13662, 13682])).
% 38.41/24.86 tff(13687,plain,
% 38.41/24.86 (v95(constB116)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13686, 13679])).
% 38.41/24.86 tff(13688,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13689,plain,
% 38.41/24.86 (((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116)) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13690,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116))))),
% 38.41/24.86 inference(monotonicity,[status(thm)],[13689])).
% 38.41/24.86 tff(13691,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 38.41/24.86 inference(transitivity,[status(thm)],[13690, 13688])).
% 38.41/24.86 tff(13692,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13693,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13692, 13691])).
% 38.41/24.86 tff(13694,plain,
% 38.41/24.86 (v94(constB116) | (~v95(constB116)) | (~v104(constB116))),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13693, 444, 13662])).
% 38.41/24.86 tff(13695,plain,
% 38.41/24.86 (v94(constB116) | (~v104(constB116))),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13694, 13687])).
% 38.41/24.86 tff(13696,plain,
% 38.41/24.86 (v94(constB116)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13695, 13670])).
% 38.41/24.86 tff(13697,plain,
% 38.41/24.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB115, bitIndex2)) | (~v115(constB115)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13698,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v115(constB115)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13699,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB115, bitIndex2)) | (~v115(constB115))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 38.41/24.86 tff(13700,plain,
% 38.41/24.86 (~v115(constB115)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13699, 1058, 13570])).
% 38.41/24.86 tff(13701,plain,
% 38.41/24.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB115, bitIndex2)) | (~v116(constB115)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13702,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v116(constB115)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13703,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB115, bitIndex2)) | (~v116(constB115))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 38.41/24.86 tff(13704,plain,
% 38.41/24.86 (~v116(constB115)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13703, 1069, 13570])).
% 38.41/24.86 tff(13705,plain,
% 38.41/24.86 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB115)) | (~v84(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB115)) | (~v84(constB115, bitIndex1)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13706,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB115)) | (~v84(constB115, bitIndex1)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13707,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB115)) | (~v84(constB115, bitIndex1))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13706, 13705])).
% 38.41/24.86 tff(13708,plain,
% 38.41/24.86 (~v113(constB115)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13707, 1083, 13601])).
% 38.41/24.86 tff(13709,plain,
% 38.41/24.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v118(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v118(constB115)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13710,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v118(constB115)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13711,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v118(constB115))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 38.41/24.86 tff(13712,plain,
% 38.41/24.86 (~v118(constB115)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13711, 1094, 13601])).
% 38.41/24.86 tff(13713,plain,
% 38.41/24.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v172(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v172(constB115)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13714,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v172(constB115)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13715,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v172(constB115))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 38.41/24.86 tff(13716,plain,
% 38.41/24.86 (~v172(constB115)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13715, 1105, 13601])).
% 38.41/24.86 tff(13717,plain,
% 38.41/24.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v145(constB115)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13718,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v145(constB115)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13719,plain,
% 38.41/24.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v145(constB115))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 38.41/24.86 tff(13720,plain,
% 38.41/24.86 (~v145(constB115)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13719, 1116, 13601])).
% 38.41/24.86 tff(13721,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB115) | (~v124(constB115, bitIndex2)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB115) | (~v124(constB115, bitIndex2)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13722,plain,
% 38.41/24.86 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex2))) <=> (v145(constB115) | (~v124(constB115, bitIndex2)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13723,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB115) | (~v124(constB115, bitIndex2)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115)))),
% 38.41/24.86 inference(monotonicity,[status(thm)],[13722])).
% 38.41/24.86 tff(13724,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB115) | (~v124(constB115, bitIndex2)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.41/24.86 inference(transitivity,[status(thm)],[13723, 13721])).
% 38.41/24.86 tff(13725,plain,
% 38.41/24.86 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex2)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13726,plain,
% 38.41/24.86 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB115) | (~v124(constB115, bitIndex2)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115)),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13725, 13724])).
% 38.41/24.86 tff(13727,plain,
% 38.41/24.86 (~v124(constB115, bitIndex2)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13726, 1130, 13720, 13716, 13712, 13708, 13704, 13700])).
% 38.41/24.86 tff(13728,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13729,plain,
% 38.41/24.86 ((v26(constB115) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2))) <=> ((~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13730,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB115) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2)))),
% 38.41/24.86 inference(monotonicity,[status(thm)],[13729])).
% 38.41/24.86 tff(13731,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB115) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2))),
% 38.41/24.86 inference(transitivity,[status(thm)],[13730, 13728])).
% 38.41/24.86 tff(13732,plain,
% 38.41/24.86 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB115) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13733,plain,
% 38.41/24.86 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB115, bitIndex2)) | v26(constB115) | v124(constB115, bitIndex2)),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 38.41/24.86 tff(13734,plain,
% 38.41/24.86 ((~v121(constB115, bitIndex2)) | v124(constB115, bitIndex2)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13733, 1147, 13647])).
% 38.41/24.86 tff(13735,plain,
% 38.41/24.86 (~v121(constB115, bitIndex2)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13734, 13727])).
% 38.41/24.86 tff(13736,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13737,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13738,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13737, 13736])).
% 38.41/24.86 tff(13739,plain,
% 38.41/24.86 (v121(constB115, bitIndex2) | (~v123(constB116, bitIndex2))),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13738, 1165, 13662])).
% 38.41/24.86 tff(13740,plain,
% 38.41/24.86 (~v123(constB116, bitIndex2)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13739, 13735])).
% 38.41/24.86 tff(13741,plain,
% 38.41/24.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13742,plain,
% 38.41/24.86 (((~v84(constB116, bitIndex2)) | (~v94(constB116)) | v123(constB116, bitIndex2)) <=> ((~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13743,plain,
% 38.41/24.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | (~v94(constB116)) | v123(constB116, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116))))),
% 38.41/24.86 inference(monotonicity,[status(thm)],[13742])).
% 38.41/24.86 tff(13744,plain,
% 38.41/24.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | (~v94(constB116)) | v123(constB116, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116)))),
% 38.41/24.86 inference(transitivity,[status(thm)],[13743, 13741])).
% 38.41/24.86 tff(13745,plain,
% 38.41/24.86 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | (~v94(constB116)) | v123(constB116, bitIndex2))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13746,plain,
% 38.41/24.86 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2) | (~v94(constB116))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 38.41/24.86 tff(13747,plain,
% 38.41/24.86 ((~v84(constB116, bitIndex2)) | (~v94(constB116))),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13746, 1180, 13740])).
% 38.41/24.86 tff(13748,plain,
% 38.41/24.86 (~v84(constB116, bitIndex2)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13747, 13696])).
% 38.41/24.86 tff(13749,plain,
% 38.41/24.86 ((~v1(constB117)) <=> (~v1(constB117))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13750,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 38.41/24.86 tff(13751,plain,
% 38.41/24.86 (~v1(constB117)),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 38.41/24.86 tff(13752,plain,
% 38.41/24.86 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13753,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 38.41/24.86 tff(13754,plain,
% 38.41/24.86 (nextState(constB116, constB117)),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 38.41/24.86 tff(13755,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13756,plain,
% 38.41/24.86 (((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13757,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))))),
% 38.41/24.86 inference(monotonicity,[status(thm)],[13756])).
% 38.41/24.86 tff(13758,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 38.41/24.86 inference(transitivity,[status(thm)],[13757, 13755])).
% 38.41/24.86 tff(13759,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13760,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13759, 13758])).
% 38.41/24.86 tff(13761,plain,
% 38.41/24.86 (~v95(constB117)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13760, 175, 13754, 13751])).
% 38.41/24.86 tff(13762,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13763,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13764,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13763, 13762])).
% 38.41/24.86 tff(13765,plain,
% 38.41/24.86 (v95(constB117) | (~v94(constB117))),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13764, 192, 13754])).
% 38.41/24.86 tff(13766,plain,
% 38.41/24.86 (~v94(constB117)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13765, 13761])).
% 38.41/24.86 tff(13767,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13768,plain,
% 38.41/24.86 (((~nextState(constB116, constB117)) | v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2))) <=> (v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2)))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13769,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2))))),
% 38.41/24.86 inference(monotonicity,[status(thm)],[13768])).
% 38.41/24.86 tff(13770,plain,
% 38.41/24.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2)))),
% 38.41/24.86 inference(transitivity,[status(thm)],[13769, 13767])).
% 38.41/24.86 tff(13771,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2)))),
% 38.41/24.86 inference(quant_inst,[status(thm)],[])).
% 38.41/24.86 tff(13772,plain,
% 38.41/24.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex2))),
% 38.41/24.86 inference(modus_ponens,[status(thm)],[13771, 13770])).
% 38.41/24.86 tff(13773,plain,
% 38.41/24.86 (v84(constB116, bitIndex2) | v94(constB117) | (~v84(constB117, bitIndex2))),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13772, 207, 13754])).
% 38.41/24.86 tff(13774,plain,
% 38.41/24.86 (v84(constB116, bitIndex2) | (~v84(constB117, bitIndex2))),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13773, 13766])).
% 38.41/24.86 tff(13775,plain,
% 38.41/24.86 (~v84(constB117, bitIndex2)),
% 38.41/24.86 inference(unit_resolution,[status(thm)],[13774, 13748])).
% 38.41/24.86 tff(13776,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB115) | (~v124(constB115, bitIndex1)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB115) | (~v124(constB115, bitIndex1)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13777,plain,
% 38.41/24.86 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex1))) <=> (v145(constB115) | (~v124(constB115, bitIndex1)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.41/24.86 inference(rewrite,[status(thm)],[])).
% 38.41/24.86 tff(13778,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB115) | (~v124(constB115, bitIndex1)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115)))),
% 38.41/24.86 inference(monotonicity,[status(thm)],[13777])).
% 38.41/24.86 tff(13779,plain,
% 38.41/24.86 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB115) | (~v124(constB115, bitIndex1)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.41/24.87 inference(transitivity,[status(thm)],[13778, 13776])).
% 38.41/24.87 tff(13780,plain,
% 38.41/24.87 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~v124(constB115, bitIndex1)))),
% 38.41/24.87 inference(quant_inst,[status(thm)],[])).
% 38.41/24.87 tff(13781,plain,
% 38.41/24.87 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB115) | (~v124(constB115, bitIndex1)) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115)),
% 38.41/24.87 inference(modus_ponens,[status(thm)],[13780, 13779])).
% 38.41/24.87 tff(13782,plain,
% 38.41/24.87 (~v124(constB115, bitIndex1)),
% 38.41/24.87 inference(unit_resolution,[status(thm)],[13781, 1225, 13720, 13716, 13712, 13708, 13704, 13700])).
% 38.41/24.87 tff(13783,plain,
% 38.41/24.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 38.41/24.87 inference(rewrite,[status(thm)],[])).
% 38.41/24.87 tff(13784,plain,
% 38.41/24.87 ((v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1))) <=> ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 38.41/24.87 inference(rewrite,[status(thm)],[])).
% 38.41/24.87 tff(13785,plain,
% 38.41/24.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1)))),
% 38.41/24.87 inference(monotonicity,[status(thm)],[13784])).
% 38.41/24.87 tff(13786,plain,
% 38.41/24.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 38.41/24.87 inference(transitivity,[status(thm)],[13785, 13783])).
% 38.41/24.87 tff(13787,plain,
% 38.41/24.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))),
% 38.41/24.87 inference(quant_inst,[status(thm)],[])).
% 38.41/24.87 tff(13788,plain,
% 38.41/24.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1)),
% 38.41/24.87 inference(modus_ponens,[status(thm)],[13787, 13786])).
% 38.41/24.87 tff(13789,plain,
% 38.41/24.87 ((~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1)),
% 38.41/24.87 inference(unit_resolution,[status(thm)],[13788, 576, 13647])).
% 38.41/24.87 tff(13790,plain,
% 38.41/24.87 (~v121(constB115, bitIndex1)),
% 38.41/24.87 inference(unit_resolution,[status(thm)],[13789, 13782])).
% 38.41/24.87 tff(13791,plain,
% 38.41/24.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 38.41/24.87 inference(rewrite,[status(thm)],[])).
% 38.41/24.87 tff(13792,plain,
% 38.41/24.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 38.41/24.87 inference(quant_inst,[status(thm)],[])).
% 38.41/24.87 tff(13793,plain,
% 38.41/24.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1))),
% 38.41/24.87 inference(modus_ponens,[status(thm)],[13792, 13791])).
% 38.41/24.87 tff(13794,plain,
% 38.41/24.87 (v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1))),
% 38.41/24.87 inference(unit_resolution,[status(thm)],[13793, 594, 13662])).
% 38.41/24.87 tff(13795,plain,
% 38.41/24.87 (~v123(constB116, bitIndex1)),
% 38.41/24.87 inference(unit_resolution,[status(thm)],[13794, 13790])).
% 38.41/24.87 tff(13796,plain,
% 38.41/24.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 38.41/24.87 inference(rewrite,[status(thm)],[])).
% 38.41/24.87 tff(13797,plain,
% 38.41/24.87 (((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1)) <=> ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 38.41/24.87 inference(rewrite,[status(thm)],[])).
% 38.41/24.87 tff(13798,plain,
% 38.41/24.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116))))),
% 38.41/24.87 inference(monotonicity,[status(thm)],[13797])).
% 38.41/24.87 tff(13799,plain,
% 38.41/24.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 38.41/24.87 inference(transitivity,[status(thm)],[13798, 13796])).
% 38.41/24.87 tff(13800,plain,
% 38.41/24.87 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))),
% 38.41/24.87 inference(quant_inst,[status(thm)],[])).
% 38.41/24.87 tff(13801,plain,
% 38.41/24.87 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116))),
% 38.41/24.87 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 38.41/24.87 tff(13802,plain,
% 38.41/24.87 ((~v84(constB116, bitIndex1)) | (~v94(constB116))),
% 38.41/24.87 inference(unit_resolution,[status(thm)],[13801, 609, 13795])).
% 38.41/24.87 tff(13803,plain,
% 38.41/24.87 (~v84(constB116, bitIndex1)),
% 38.41/24.87 inference(unit_resolution,[status(thm)],[13802, 13696])).
% 38.41/24.87 tff(13804,plain,
% 38.41/24.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 38.41/24.87 inference(rewrite,[status(thm)],[])).
% 38.41/24.87 tff(13805,plain,
% 38.41/24.87 (((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1))) <=> (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13806,plain,
% 38.48/24.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1))))),
% 38.48/24.87 inference(monotonicity,[status(thm)],[13805])).
% 38.48/24.87 tff(13807,plain,
% 38.48/24.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 38.48/24.87 inference(transitivity,[status(thm)],[13806, 13804])).
% 38.48/24.87 tff(13808,plain,
% 38.48/24.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 38.48/24.87 inference(quant_inst,[status(thm)],[])).
% 38.48/24.87 tff(13809,plain,
% 38.48/24.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1))),
% 38.48/24.87 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 38.48/24.87 tff(13810,plain,
% 38.48/24.87 (v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1))),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13809, 228, 13754])).
% 38.48/24.87 tff(13811,plain,
% 38.48/24.87 (v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1))),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13810, 13766])).
% 38.48/24.87 tff(13812,plain,
% 38.48/24.87 (~v84(constB117, bitIndex1)),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13811, 13803])).
% 38.48/24.87 tff(13813,plain,
% 38.48/24.87 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB115) | v124(constB115, bitIndex0) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB115) | v124(constB115, bitIndex0) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13814,plain,
% 38.48/24.87 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | v124(constB115, bitIndex0)) <=> (v145(constB115) | v124(constB115, bitIndex0) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13815,plain,
% 38.48/24.87 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | v124(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB115) | v124(constB115, bitIndex0) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115)))),
% 38.48/24.87 inference(monotonicity,[status(thm)],[13814])).
% 38.48/24.87 tff(13816,plain,
% 38.48/24.87 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | v124(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB115) | v124(constB115, bitIndex0) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115))),
% 38.48/24.87 inference(transitivity,[status(thm)],[13815, 13813])).
% 38.48/24.87 tff(13817,plain,
% 38.48/24.87 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | v124(constB115, bitIndex0))),
% 38.48/24.87 inference(quant_inst,[status(thm)],[])).
% 38.48/24.87 tff(13818,plain,
% 38.48/24.87 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB115) | v124(constB115, bitIndex0) | v113(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115)),
% 38.48/24.87 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 38.48/24.87 tff(13819,plain,
% 38.48/24.87 (v124(constB115, bitIndex0)),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13818, 1272, 13720, 13716, 13712, 13708, 13704, 13700])).
% 38.48/24.87 tff(13820,plain,
% 38.48/24.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB115) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB115) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13821,plain,
% 38.48/24.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB115) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))),
% 38.48/24.87 inference(quant_inst,[status(thm)],[])).
% 38.48/24.87 tff(13822,plain,
% 38.48/24.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB115) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0)),
% 38.48/24.87 inference(modus_ponens,[status(thm)],[13821, 13820])).
% 38.48/24.87 tff(13823,plain,
% 38.48/24.87 ((~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0)),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13822, 1289, 13647])).
% 38.48/24.87 tff(13824,plain,
% 38.48/24.87 (v121(constB115, bitIndex0)),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13823, 13819])).
% 38.48/24.87 tff(13825,plain,
% 38.48/24.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13826,plain,
% 38.48/24.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0))),
% 38.48/24.87 inference(quant_inst,[status(thm)],[])).
% 38.48/24.87 tff(13827,plain,
% 38.48/24.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0)),
% 38.48/24.87 inference(modus_ponens,[status(thm)],[13826, 13825])).
% 38.48/24.87 tff(13828,plain,
% 38.48/24.87 ((~v121(constB115, bitIndex0)) | v123(constB116, bitIndex0)),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13827, 1304, 13662])).
% 38.48/24.87 tff(13829,plain,
% 38.48/24.87 (v123(constB116, bitIndex0)),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13828, 13824])).
% 38.48/24.87 tff(13830,plain,
% 38.48/24.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116)))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13831,plain,
% 38.48/24.87 ((v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0))) <=> (v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116)))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13832,plain,
% 38.48/24.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116))))),
% 38.48/24.87 inference(monotonicity,[status(thm)],[13831])).
% 38.48/24.87 tff(13833,plain,
% 38.48/24.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116)))),
% 38.48/24.87 inference(transitivity,[status(thm)],[13832, 13830])).
% 38.48/24.87 tff(13834,plain,
% 38.48/24.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0)))),
% 38.48/24.87 inference(quant_inst,[status(thm)],[])).
% 38.48/24.87 tff(13835,plain,
% 38.48/24.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)) | (~v94(constB116))),
% 38.48/24.87 inference(modus_ponens,[status(thm)],[13834, 13833])).
% 38.48/24.87 tff(13836,plain,
% 38.48/24.87 (v84(constB116, bitIndex0) | (~v94(constB116))),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13835, 1319, 13829])).
% 38.48/24.87 tff(13837,plain,
% 38.48/24.87 (v84(constB116, bitIndex0)),
% 38.48/24.87 inference(unit_resolution,[status(thm)],[13836, 13696])).
% 38.48/24.87 tff(13838,plain,
% 38.48/24.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13839,plain,
% 38.48/24.87 (((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0)) <=> ((~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0))),
% 38.48/24.87 inference(rewrite,[status(thm)],[])).
% 38.48/24.87 tff(13840,plain,
% 38.48/24.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0)))),
% 38.48/24.87 inference(monotonicity,[status(thm)],[13839])).
% 38.48/24.87 tff(13841,plain,
% 38.48/24.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0))),
% 38.48/24.88 inference(transitivity,[status(thm)],[13840, 13838])).
% 38.48/24.88 tff(13842,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13843,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex0)),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13842, 13841])).
% 38.48/24.88 tff(13844,plain,
% 38.48/24.88 ((~v84(constB116, bitIndex0)) | v94(constB117) | v84(constB117, bitIndex0)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13843, 1337, 13754])).
% 38.48/24.88 tff(13845,plain,
% 38.48/24.88 ((~v84(constB116, bitIndex0)) | v84(constB117, bitIndex0)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13844, 13766])).
% 38.48/24.88 tff(13846,plain,
% 38.48/24.88 (v84(constB117, bitIndex0)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13845, 13837])).
% 38.48/24.88 tff(13847,plain,
% 38.48/24.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13848,plain,
% 38.48/24.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13849,plain,
% 38.48/24.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117)),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13848, 13847])).
% 38.48/24.88 tff(13850,plain,
% 38.48/24.88 (v145(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13849, 1356, 13846, 13812, 13775])).
% 38.48/24.88 tff(13851,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB117) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB117) | (~v145(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13852,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB117) | (~v145(constB117)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13853,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB117) | (~v145(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13852, 13851])).
% 38.48/24.88 tff(13854,plain,
% 38.48/24.88 (v112(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13853, 1367, 13850])).
% 38.48/24.88 tff(13855,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB117) | (~v112(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13856,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB117) | (~v112(constB117)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13857,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB117) | (~v112(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13856, 13855])).
% 38.48/24.88 tff(13858,plain,
% 38.48/24.88 (v111(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13857, 292, 13854])).
% 38.48/24.88 tff(13859,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB117) | (~v111(constB117)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB117) | (~v111(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13860,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB117) | (~v111(constB117)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13861,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB117) | (~v111(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 38.48/24.88 tff(13862,plain,
% 38.48/24.88 (v110(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13861, 303, 13858])).
% 38.48/24.88 tff(13863,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB117) | (~v110(constB117)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB117) | (~v110(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13864,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB117) | (~v110(constB117)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13865,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB117) | (~v110(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13864, 13863])).
% 38.48/24.88 tff(13866,plain,
% 38.48/24.88 (v109(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13865, 314, 13862])).
% 38.48/24.88 tff(13867,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB117) | (~v109(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB117) | (~v109(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13868,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB117) | (~v109(constB117)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13869,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB117) | (~v109(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 38.48/24.88 tff(13870,plain,
% 38.48/24.88 (v108(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13869, 325, 13866])).
% 38.48/24.88 tff(13871,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB117) | (~v108(constB117)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB117) | (~v108(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13872,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB117) | (~v108(constB117)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13873,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB117) | (~v108(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13872, 13871])).
% 38.48/24.88 tff(13874,plain,
% 38.48/24.88 (v107(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13873, 336, 13870])).
% 38.48/24.88 tff(13875,assumption,(v26(constB117)), introduced(assumption)).
% 38.48/24.88 tff(13876,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13877,plain,
% 38.48/24.88 ($false),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13876, 120, 13875])).
% 38.48/24.88 tff(13878,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 38.48/24.88 tff(13879,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | v106(constB117) | (~v107(constB117)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | v106(constB117) | (~v107(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13880,plain,
% 38.48/24.88 ((v26(constB117) | (~v107(constB117)) | v106(constB117)) <=> (v26(constB117) | v106(constB117) | (~v107(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13881,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | v106(constB117) | (~v107(constB117))))),
% 38.48/24.88 inference(monotonicity,[status(thm)],[13880])).
% 38.48/24.88 tff(13882,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | v106(constB117) | (~v107(constB117)))),
% 38.48/24.88 inference(transitivity,[status(thm)],[13881, 13879])).
% 38.48/24.88 tff(13883,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13884,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | v106(constB117) | (~v107(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13883, 13882])).
% 38.48/24.88 tff(13885,plain,
% 38.48/24.88 (v106(constB117) | (~v107(constB117))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13884, 350, 13878])).
% 38.48/24.88 tff(13886,plain,
% 38.48/24.88 (v106(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13885, 13874])).
% 38.48/24.88 tff(13887,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB117) | (~v106(constB117)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB117) | (~v106(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13888,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB117) | (~v106(constB117)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13889,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB117) | (~v106(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 38.48/24.88 tff(13890,plain,
% 38.48/24.88 (v102(constB117)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13889, 362, 13886])).
% 38.48/24.88 tff(13891,plain,
% 38.48/24.88 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13892,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 38.48/24.88 tff(13893,plain,
% 38.48/24.88 (nextState(constB117, constB118)),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 38.48/24.88 tff(13894,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13895,plain,
% 38.48/24.88 (((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13896,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))))),
% 38.48/24.88 inference(monotonicity,[status(thm)],[13895])).
% 38.48/24.88 tff(13897,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 38.48/24.88 inference(transitivity,[status(thm)],[13896, 13894])).
% 38.48/24.88 tff(13898,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13899,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13898, 13897])).
% 38.48/24.88 tff(13900,plain,
% 38.48/24.88 (v104(constB118) | (~v102(constB117))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13899, 379, 13893])).
% 38.48/24.88 tff(13901,plain,
% 38.48/24.88 (v104(constB118)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13900, 13890])).
% 38.48/24.88 tff(13902,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13903,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13904,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 38.48/24.88 tff(13905,plain,
% 38.48/24.88 (~v98(constB118)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13904, 397, 13893, 13751])).
% 38.48/24.88 tff(13906,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13907,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13908,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118)),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13907, 13906])).
% 38.48/24.88 tff(13909,plain,
% 38.48/24.88 (v96(constB118) | v98(constB118)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13908, 411, 13893])).
% 38.48/24.88 tff(13910,plain,
% 38.48/24.88 (v96(constB118)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13909, 13905])).
% 38.48/24.88 tff(13911,plain,
% 38.48/24.88 (v1(constB118) <=> v1(constB118)),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13912,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 38.48/24.88 tff(13913,plain,
% 38.48/24.88 (v1(constB118)),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 38.48/24.88 tff(13914,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13915,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13916,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13915, 13914])).
% 38.48/24.88 tff(13917,plain,
% 38.48/24.88 (v95(constB118) | (~v96(constB118))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13916, 429, 13893, 13913])).
% 38.48/24.88 tff(13918,plain,
% 38.48/24.88 (v95(constB118)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13917, 13910])).
% 38.48/24.88 tff(13919,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13920,plain,
% 38.48/24.88 (((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118)) <=> ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13921,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118))))),
% 38.48/24.88 inference(monotonicity,[status(thm)],[13920])).
% 38.48/24.88 tff(13922,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 38.48/24.88 inference(transitivity,[status(thm)],[13921, 13919])).
% 38.48/24.88 tff(13923,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13924,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 38.48/24.88 tff(13925,plain,
% 38.48/24.88 (v94(constB118) | (~v95(constB118)) | (~v104(constB118))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13924, 444, 13893])).
% 38.48/24.88 tff(13926,plain,
% 38.48/24.88 (v94(constB118) | (~v104(constB118))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13925, 13918])).
% 38.48/24.88 tff(13927,plain,
% 38.48/24.88 (v94(constB118)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13926, 13901])).
% 38.48/24.88 tff(13928,plain,
% 38.48/24.88 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB117)) | (~v124(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB117)) | (~v124(constB117, bitIndex2)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13929,plain,
% 38.48/24.88 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB117)) | (~v124(constB117, bitIndex2)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13930,plain,
% 38.48/24.88 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB117)) | (~v124(constB117, bitIndex2))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13929, 13928])).
% 38.48/24.88 tff(13931,plain,
% 38.48/24.88 (~v124(constB117, bitIndex2)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13930, 1451, 13850])).
% 38.48/24.88 tff(13932,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13933,plain,
% 38.48/24.88 ((v26(constB117) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2))) <=> ((~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13934,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB117) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2)))),
% 38.48/24.88 inference(monotonicity,[status(thm)],[13933])).
% 38.48/24.88 tff(13935,plain,
% 38.48/24.88 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB117) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2))),
% 38.48/24.88 inference(transitivity,[status(thm)],[13934, 13932])).
% 38.48/24.88 tff(13936,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB117) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13937,plain,
% 38.48/24.88 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB117, bitIndex2)) | v26(constB117) | v124(constB117, bitIndex2)),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13936, 13935])).
% 38.48/24.88 tff(13938,plain,
% 38.48/24.88 ((~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13937, 1147, 13878])).
% 38.48/24.88 tff(13939,plain,
% 38.48/24.88 (~v121(constB117, bitIndex2)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13938, 13931])).
% 38.48/24.88 tff(13940,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13941,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13942,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13941, 13940])).
% 38.48/24.88 tff(13943,plain,
% 38.48/24.88 (v121(constB117, bitIndex2) | (~v123(constB118, bitIndex2))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13942, 1165, 13893])).
% 38.48/24.88 tff(13944,plain,
% 38.48/24.88 (~v123(constB118, bitIndex2)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13943, 13939])).
% 38.48/24.88 tff(13945,plain,
% 38.48/24.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13946,plain,
% 38.48/24.88 (((~v84(constB118, bitIndex2)) | (~v94(constB118)) | v123(constB118, bitIndex2)) <=> ((~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13947,plain,
% 38.48/24.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | (~v94(constB118)) | v123(constB118, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118))))),
% 38.48/24.88 inference(monotonicity,[status(thm)],[13946])).
% 38.48/24.88 tff(13948,plain,
% 38.48/24.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | (~v94(constB118)) | v123(constB118, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118)))),
% 38.48/24.88 inference(transitivity,[status(thm)],[13947, 13945])).
% 38.48/24.88 tff(13949,plain,
% 38.48/24.88 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | (~v94(constB118)) | v123(constB118, bitIndex2))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13950,plain,
% 38.48/24.88 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2) | (~v94(constB118))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13949, 13948])).
% 38.48/24.88 tff(13951,plain,
% 38.48/24.88 ((~v84(constB118, bitIndex2)) | (~v94(constB118))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13950, 1180, 13944])).
% 38.48/24.88 tff(13952,plain,
% 38.48/24.88 (~v84(constB118, bitIndex2)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13951, 13927])).
% 38.48/24.88 tff(13953,plain,
% 38.48/24.88 ((~v1(constB119)) <=> (~v1(constB119))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13954,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 38.48/24.88 tff(13955,plain,
% 38.48/24.88 (~v1(constB119)),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13954, 13953])).
% 38.48/24.88 tff(13956,plain,
% 38.48/24.88 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13957,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 38.48/24.88 tff(13958,plain,
% 38.48/24.88 (nextState(constB118, constB119)),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 38.48/24.88 tff(13959,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13960,plain,
% 38.48/24.88 (((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13961,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))))),
% 38.48/24.88 inference(monotonicity,[status(thm)],[13960])).
% 38.48/24.88 tff(13962,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 38.48/24.88 inference(transitivity,[status(thm)],[13961, 13959])).
% 38.48/24.88 tff(13963,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13964,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 38.48/24.88 tff(13965,plain,
% 38.48/24.88 (~v95(constB119)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13964, 175, 13958, 13955])).
% 38.48/24.88 tff(13966,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13967,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13968,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13967, 13966])).
% 38.48/24.88 tff(13969,plain,
% 38.48/24.88 (v95(constB119) | (~v94(constB119))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13968, 192, 13958])).
% 38.48/24.88 tff(13970,plain,
% 38.48/24.88 (~v94(constB119)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13969, 13965])).
% 38.48/24.88 tff(13971,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13972,plain,
% 38.48/24.88 (((~nextState(constB118, constB119)) | v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2))) <=> (v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2)))),
% 38.48/24.88 inference(rewrite,[status(thm)],[])).
% 38.48/24.88 tff(13973,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2))))),
% 38.48/24.88 inference(monotonicity,[status(thm)],[13972])).
% 38.48/24.88 tff(13974,plain,
% 38.48/24.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2)))),
% 38.48/24.88 inference(transitivity,[status(thm)],[13973, 13971])).
% 38.48/24.88 tff(13975,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2)))),
% 38.48/24.88 inference(quant_inst,[status(thm)],[])).
% 38.48/24.88 tff(13976,plain,
% 38.48/24.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex2))),
% 38.48/24.88 inference(modus_ponens,[status(thm)],[13975, 13974])).
% 38.48/24.88 tff(13977,plain,
% 38.48/24.88 (v84(constB118, bitIndex2) | v94(constB119) | (~v84(constB119, bitIndex2))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13976, 207, 13958])).
% 38.48/24.88 tff(13978,plain,
% 38.48/24.88 (v84(constB118, bitIndex2) | (~v84(constB119, bitIndex2))),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13977, 13970])).
% 38.48/24.88 tff(13979,plain,
% 38.48/24.88 (~v84(constB119, bitIndex2)),
% 38.48/24.88 inference(unit_resolution,[status(thm)],[13978, 13952])).
% 38.48/24.88 tff(13980,plain,
% 38.48/24.88 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB117)) | v124(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB117)) | v124(constB117, bitIndex1))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(13981,plain,
% 38.48/24.89 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB117)) | v124(constB117, bitIndex1))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(13982,plain,
% 38.48/24.89 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB117)) | v124(constB117, bitIndex1)),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[13981, 13980])).
% 38.48/24.89 tff(13983,plain,
% 38.48/24.89 (v124(constB117, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[13982, 1513, 13850])).
% 38.48/24.89 tff(13984,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB117) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB117) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(13985,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB117) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(13986,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB117) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1)),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[13985, 13984])).
% 38.48/24.89 tff(13987,plain,
% 38.48/24.89 ((~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[13986, 875, 13878])).
% 38.48/24.89 tff(13988,plain,
% 38.48/24.89 (v121(constB117, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[13987, 13983])).
% 38.48/24.89 tff(13989,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(13990,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(13991,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1)),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[13990, 13989])).
% 38.48/24.89 tff(13992,plain,
% 38.48/24.89 ((~v121(constB117, bitIndex1)) | v123(constB118, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[13991, 890, 13893])).
% 38.48/24.89 tff(13993,plain,
% 38.48/24.89 (v123(constB118, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[13992, 13988])).
% 38.48/24.89 tff(13994,plain,
% 38.48/24.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(13995,plain,
% 38.48/24.89 ((v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1))) <=> (v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(13996,plain,
% 38.48/24.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118))))),
% 38.48/24.89 inference(monotonicity,[status(thm)],[13995])).
% 38.48/24.89 tff(13997,plain,
% 38.48/24.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118)))),
% 38.48/24.89 inference(transitivity,[status(thm)],[13996, 13994])).
% 38.48/24.89 tff(13998,plain,
% 38.48/24.89 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(13999,plain,
% 38.48/24.89 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)) | (~v94(constB118))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[13998, 13997])).
% 38.48/24.89 tff(14000,plain,
% 38.48/24.89 (v84(constB118, bitIndex1) | (~v94(constB118))),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[13999, 905, 13993])).
% 38.48/24.89 tff(14001,plain,
% 38.48/24.89 (v84(constB118, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14000, 13927])).
% 38.48/24.89 tff(14002,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14003,plain,
% 38.48/24.89 (((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1)) <=> ((~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14004,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1)))),
% 38.48/24.89 inference(monotonicity,[status(thm)],[14003])).
% 38.48/24.89 tff(14005,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1))),
% 38.48/24.89 inference(transitivity,[status(thm)],[14004, 14002])).
% 38.48/24.89 tff(14006,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14007,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex1)),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14006, 14005])).
% 38.48/24.89 tff(14008,plain,
% 38.48/24.89 ((~v84(constB118, bitIndex1)) | v94(constB119) | v84(constB119, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14007, 923, 13958])).
% 38.48/24.89 tff(14009,plain,
% 38.48/24.89 ((~v84(constB118, bitIndex1)) | v84(constB119, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14008, 13970])).
% 38.48/24.89 tff(14010,plain,
% 38.48/24.89 (v84(constB119, bitIndex1)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14009, 14001])).
% 38.48/24.89 tff(14011,plain,
% 38.48/24.89 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB117)) | (~v124(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB117)) | (~v124(constB117, bitIndex0)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14012,plain,
% 38.48/24.89 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB117)) | (~v124(constB117, bitIndex0)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14013,plain,
% 38.48/24.89 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB117)) | (~v124(constB117, bitIndex0))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 38.48/24.89 tff(14014,plain,
% 38.48/24.89 (~v124(constB117, bitIndex0)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14013, 1554, 13850])).
% 38.48/24.89 tff(14015,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14016,plain,
% 38.48/24.89 ((v26(constB117) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0))) <=> ((~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14017,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB117) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0)))),
% 38.48/24.89 inference(monotonicity,[status(thm)],[14016])).
% 38.48/24.89 tff(14018,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB117) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0))),
% 38.48/24.89 inference(transitivity,[status(thm)],[14017, 14015])).
% 38.48/24.89 tff(14019,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB117) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14020,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB117, bitIndex0)) | v26(constB117) | v124(constB117, bitIndex0)),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14019, 14018])).
% 38.48/24.89 tff(14021,plain,
% 38.48/24.89 ((~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14020, 650, 13878])).
% 38.48/24.89 tff(14022,plain,
% 38.48/24.89 (~v121(constB117, bitIndex0)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14021, 14014])).
% 38.48/24.89 tff(14023,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14024,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14025,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 38.48/24.89 tff(14026,plain,
% 38.48/24.89 (v121(constB117, bitIndex0) | (~v123(constB118, bitIndex0))),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14025, 668, 13893])).
% 38.48/24.89 tff(14027,plain,
% 38.48/24.89 (~v123(constB118, bitIndex0)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14026, 14022])).
% 38.48/24.89 tff(14028,plain,
% 38.48/24.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14029,plain,
% 38.48/24.89 (((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0)) <=> ((~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14030,plain,
% 38.48/24.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118))))),
% 38.48/24.89 inference(monotonicity,[status(thm)],[14029])).
% 38.48/24.89 tff(14031,plain,
% 38.48/24.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118)))),
% 38.48/24.89 inference(transitivity,[status(thm)],[14030, 14028])).
% 38.48/24.89 tff(14032,plain,
% 38.48/24.89 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14033,plain,
% 38.48/24.89 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0) | (~v94(constB118))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14032, 14031])).
% 38.48/24.89 tff(14034,plain,
% 38.48/24.89 ((~v84(constB118, bitIndex0)) | (~v94(constB118))),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14033, 683, 14027])).
% 38.48/24.89 tff(14035,plain,
% 38.48/24.89 (~v84(constB118, bitIndex0)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14034, 13927])).
% 38.48/24.89 tff(14036,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14037,plain,
% 38.48/24.89 (((~nextState(constB118, constB119)) | v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0))) <=> (v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14038,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0))))),
% 38.48/24.89 inference(monotonicity,[status(thm)],[14037])).
% 38.48/24.89 tff(14039,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0)))),
% 38.48/24.89 inference(transitivity,[status(thm)],[14038, 14036])).
% 38.48/24.89 tff(14040,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14041,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex0))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14040, 14039])).
% 38.48/24.89 tff(14042,plain,
% 38.48/24.89 (v84(constB118, bitIndex0) | v94(constB119) | (~v84(constB119, bitIndex0))),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14041, 249, 13958])).
% 38.48/24.89 tff(14043,plain,
% 38.48/24.89 (v84(constB118, bitIndex0) | (~v84(constB119, bitIndex0))),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14042, 13970])).
% 38.48/24.89 tff(14044,plain,
% 38.48/24.89 (~v84(constB119, bitIndex0)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14043, 14035])).
% 38.48/24.89 tff(14045,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14046,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14047,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119)),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14046, 14045])).
% 38.48/24.89 tff(14048,plain,
% 38.48/24.89 (v115(constB119)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14047, 1598, 14044, 14010, 13979])).
% 38.48/24.89 tff(14049,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB119) | (~v115(constB119)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB119) | (~v115(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14050,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB119) | (~v115(constB119)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14051,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB119) | (~v115(constB119))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14050, 14049])).
% 38.48/24.89 tff(14052,plain,
% 38.48/24.89 (v111(constB119)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14051, 1609, 14048])).
% 38.48/24.89 tff(14053,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB119) | (~v111(constB119)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB119) | (~v111(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14054,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB119) | (~v111(constB119)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14055,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB119) | (~v111(constB119))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 38.48/24.89 tff(14056,plain,
% 38.48/24.89 (v110(constB119)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14055, 303, 14052])).
% 38.48/24.89 tff(14057,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB119) | (~v110(constB119)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB119) | (~v110(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14058,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB119) | (~v110(constB119)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14059,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB119) | (~v110(constB119))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14058, 14057])).
% 38.48/24.89 tff(14060,plain,
% 38.48/24.89 (v109(constB119)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14059, 314, 14056])).
% 38.48/24.89 tff(14061,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB119) | (~v109(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB119) | (~v109(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14062,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB119) | (~v109(constB119)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14063,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB119) | (~v109(constB119))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14062, 14061])).
% 38.48/24.89 tff(14064,plain,
% 38.48/24.89 (v108(constB119)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14063, 325, 14060])).
% 38.48/24.89 tff(14065,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB119) | (~v108(constB119)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB119) | (~v108(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14066,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB119) | (~v108(constB119)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14067,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB119) | (~v108(constB119))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14066, 14065])).
% 38.48/24.89 tff(14068,plain,
% 38.48/24.89 (v107(constB119)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14067, 336, 14064])).
% 38.48/24.89 tff(14069,assumption,(v26(constB119)), introduced(assumption)).
% 38.48/24.89 tff(14070,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14071,plain,
% 38.48/24.89 ($false),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14070, 120, 14069])).
% 38.48/24.89 tff(14072,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 38.48/24.89 tff(14073,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | v106(constB119) | (~v107(constB119)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14074,plain,
% 38.48/24.89 ((v26(constB119) | (~v107(constB119)) | v106(constB119)) <=> (v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14075,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | v106(constB119) | (~v107(constB119))))),
% 38.48/24.89 inference(monotonicity,[status(thm)],[14074])).
% 38.48/24.89 tff(14076,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 38.48/24.89 inference(transitivity,[status(thm)],[14075, 14073])).
% 38.48/24.89 tff(14077,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14078,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14077, 14076])).
% 38.48/24.89 tff(14079,plain,
% 38.48/24.89 (v106(constB119) | (~v107(constB119))),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14078, 350, 14072])).
% 38.48/24.89 tff(14080,plain,
% 38.48/24.89 (v106(constB119)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14079, 14068])).
% 38.48/24.89 tff(14081,plain,
% 38.48/24.89 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB119) | (~v106(constB119)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB119) | (~v106(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14082,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB119) | (~v106(constB119)))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14083,plain,
% 38.48/24.89 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB119) | (~v106(constB119))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14082, 14081])).
% 38.48/24.89 tff(14084,plain,
% 38.48/24.89 (v102(constB119)),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14083, 362, 14080])).
% 38.48/24.89 tff(14085,plain,
% 38.48/24.89 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14086,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 38.48/24.89 tff(14087,plain,
% 38.48/24.89 (nextState(constB119, constB120)),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 38.48/24.89 tff(14088,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14089,plain,
% 38.48/24.89 (((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 38.48/24.89 inference(rewrite,[status(thm)],[])).
% 38.48/24.89 tff(14090,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))))),
% 38.48/24.89 inference(monotonicity,[status(thm)],[14089])).
% 38.48/24.89 tff(14091,plain,
% 38.48/24.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 38.48/24.89 inference(transitivity,[status(thm)],[14090, 14088])).
% 38.48/24.89 tff(14092,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))),
% 38.48/24.89 inference(quant_inst,[status(thm)],[])).
% 38.48/24.89 tff(14093,plain,
% 38.48/24.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))),
% 38.48/24.89 inference(modus_ponens,[status(thm)],[14092, 14091])).
% 38.48/24.89 tff(14094,plain,
% 38.48/24.89 (v104(constB120) | (~v102(constB119))),
% 38.48/24.89 inference(unit_resolution,[status(thm)],[14093, 379, 14087])).
% 38.48/24.90 tff(14095,plain,
% 38.48/24.90 (v104(constB120)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14094, 14084])).
% 38.48/24.90 tff(14096,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14097,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14098,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14097, 14096])).
% 38.48/24.90 tff(14099,plain,
% 38.48/24.90 (~v98(constB120)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14098, 397, 14087, 13955])).
% 38.48/24.90 tff(14100,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14101,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14102,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120)),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14101, 14100])).
% 38.48/24.90 tff(14103,plain,
% 38.48/24.90 (v96(constB120) | v98(constB120)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14102, 411, 14087])).
% 38.48/24.90 tff(14104,plain,
% 38.48/24.90 (v96(constB120)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14103, 14099])).
% 38.48/24.90 tff(14105,plain,
% 38.48/24.90 (v1(constB120) <=> v1(constB120)),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14106,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 38.48/24.90 tff(14107,plain,
% 38.48/24.90 (v1(constB120)),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14106, 14105])).
% 38.48/24.90 tff(14108,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14109,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14110,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 38.48/24.90 tff(14111,plain,
% 38.48/24.90 (v95(constB120) | (~v96(constB120))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14110, 429, 14087, 14107])).
% 38.48/24.90 tff(14112,plain,
% 38.48/24.90 (v95(constB120)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14111, 14104])).
% 38.48/24.90 tff(14113,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14114,plain,
% 38.48/24.90 (((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120)) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14115,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120))))),
% 38.48/24.90 inference(monotonicity,[status(thm)],[14114])).
% 38.48/24.90 tff(14116,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 38.48/24.90 inference(transitivity,[status(thm)],[14115, 14113])).
% 38.48/24.90 tff(14117,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14118,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14117, 14116])).
% 38.48/24.90 tff(14119,plain,
% 38.48/24.90 (v94(constB120) | (~v95(constB120)) | (~v104(constB120))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14118, 444, 14087])).
% 38.48/24.90 tff(14120,plain,
% 38.48/24.90 (v94(constB120) | (~v104(constB120))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14119, 14112])).
% 38.48/24.90 tff(14121,plain,
% 38.48/24.90 (v94(constB120)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14120, 14095])).
% 38.48/24.90 tff(14122,plain,
% 38.48/24.90 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB119)) | (~v124(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB119)) | (~v124(constB119, bitIndex2)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14123,plain,
% 38.48/24.90 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB119)) | (~v124(constB119, bitIndex2)))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14124,plain,
% 38.48/24.90 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB119)) | (~v124(constB119, bitIndex2))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14123, 14122])).
% 38.48/24.90 tff(14125,plain,
% 38.48/24.90 (~v124(constB119, bitIndex2)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14124, 1688, 14048])).
% 38.48/24.90 tff(14126,plain,
% 38.48/24.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14127,plain,
% 38.48/24.90 ((v26(constB119) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2))) <=> ((~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14128,plain,
% 38.48/24.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB119) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2)))),
% 38.48/24.90 inference(monotonicity,[status(thm)],[14127])).
% 38.48/24.90 tff(14129,plain,
% 38.48/24.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB119) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2))),
% 38.48/24.90 inference(transitivity,[status(thm)],[14128, 14126])).
% 38.48/24.90 tff(14130,plain,
% 38.48/24.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB119) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14131,plain,
% 38.48/24.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB119, bitIndex2)) | v26(constB119) | v124(constB119, bitIndex2)),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14130, 14129])).
% 38.48/24.90 tff(14132,plain,
% 38.48/24.90 ((~v121(constB119, bitIndex2)) | v124(constB119, bitIndex2)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14131, 1147, 14072])).
% 38.48/24.90 tff(14133,plain,
% 38.48/24.90 (~v121(constB119, bitIndex2)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14132, 14125])).
% 38.48/24.90 tff(14134,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14135,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2)))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14136,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14135, 14134])).
% 38.48/24.90 tff(14137,plain,
% 38.48/24.90 (v121(constB119, bitIndex2) | (~v123(constB120, bitIndex2))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14136, 1165, 14087])).
% 38.48/24.90 tff(14138,plain,
% 38.48/24.90 (~v123(constB120, bitIndex2)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14137, 14133])).
% 38.48/24.90 tff(14139,plain,
% 38.48/24.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14140,plain,
% 38.48/24.90 (((~v84(constB120, bitIndex2)) | (~v94(constB120)) | v123(constB120, bitIndex2)) <=> ((~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14141,plain,
% 38.48/24.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | (~v94(constB120)) | v123(constB120, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120))))),
% 38.48/24.90 inference(monotonicity,[status(thm)],[14140])).
% 38.48/24.90 tff(14142,plain,
% 38.48/24.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | (~v94(constB120)) | v123(constB120, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120)))),
% 38.48/24.90 inference(transitivity,[status(thm)],[14141, 14139])).
% 38.48/24.90 tff(14143,plain,
% 38.48/24.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | (~v94(constB120)) | v123(constB120, bitIndex2))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14144,plain,
% 38.48/24.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | (~v94(constB120))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14143, 14142])).
% 38.48/24.90 tff(14145,plain,
% 38.48/24.90 ((~v84(constB120, bitIndex2)) | (~v94(constB120))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14144, 1180, 14138])).
% 38.48/24.90 tff(14146,plain,
% 38.48/24.90 (~v84(constB120, bitIndex2)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14145, 14121])).
% 38.48/24.90 tff(14147,plain,
% 38.48/24.90 ((~v1(constB121)) <=> (~v1(constB121))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14148,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 38.48/24.90 tff(14149,plain,
% 38.48/24.90 (~v1(constB121)),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 38.48/24.90 tff(14150,plain,
% 38.48/24.90 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14151,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 38.48/24.90 tff(14152,plain,
% 38.48/24.90 (nextState(constB120, constB121)),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 38.48/24.90 tff(14153,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14154,plain,
% 38.48/24.90 (((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14155,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))))),
% 38.48/24.90 inference(monotonicity,[status(thm)],[14154])).
% 38.48/24.90 tff(14156,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 38.48/24.90 inference(transitivity,[status(thm)],[14155, 14153])).
% 38.48/24.90 tff(14157,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14158,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14157, 14156])).
% 38.48/24.90 tff(14159,plain,
% 38.48/24.90 (~v95(constB121)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14158, 175, 14152, 14149])).
% 38.48/24.90 tff(14160,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14161,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14162,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14161, 14160])).
% 38.48/24.90 tff(14163,plain,
% 38.48/24.90 (v95(constB121) | (~v94(constB121))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14162, 192, 14152])).
% 38.48/24.90 tff(14164,plain,
% 38.48/24.90 (~v94(constB121)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14163, 14159])).
% 38.48/24.90 tff(14165,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14166,plain,
% 38.48/24.90 (((~nextState(constB120, constB121)) | v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2))) <=> (v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14167,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2))))),
% 38.48/24.90 inference(monotonicity,[status(thm)],[14166])).
% 38.48/24.90 tff(14168,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2)))),
% 38.48/24.90 inference(transitivity,[status(thm)],[14167, 14165])).
% 38.48/24.90 tff(14169,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2)))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14170,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex2))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14169, 14168])).
% 38.48/24.90 tff(14171,plain,
% 38.48/24.90 (v84(constB120, bitIndex2) | v94(constB121) | (~v84(constB121, bitIndex2))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14170, 207, 14152])).
% 38.48/24.90 tff(14172,plain,
% 38.48/24.90 (v84(constB120, bitIndex2) | (~v84(constB121, bitIndex2))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14171, 14164])).
% 38.48/24.90 tff(14173,plain,
% 38.48/24.90 (~v84(constB121, bitIndex2)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14172, 14146])).
% 38.48/24.90 tff(14174,plain,
% 38.48/24.90 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB119)) | v124(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB119)) | v124(constB119, bitIndex1))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14175,plain,
% 38.48/24.90 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB119)) | v124(constB119, bitIndex1))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14176,plain,
% 38.48/24.90 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB119)) | v124(constB119, bitIndex1)),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14175, 14174])).
% 38.48/24.90 tff(14177,plain,
% 38.48/24.90 (v124(constB119, bitIndex1)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14176, 1750, 14048])).
% 38.48/24.90 tff(14178,plain,
% 38.48/24.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14179,plain,
% 38.48/24.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14180,plain,
% 38.48/24.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1)),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14179, 14178])).
% 38.48/24.90 tff(14181,plain,
% 38.48/24.90 ((~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14180, 875, 14072])).
% 38.48/24.90 tff(14182,plain,
% 38.48/24.90 (v121(constB119, bitIndex1)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14181, 14177])).
% 38.48/24.90 tff(14183,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14184,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14185,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14184, 14183])).
% 38.48/24.90 tff(14186,plain,
% 38.48/24.90 ((~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14185, 890, 14087])).
% 38.48/24.90 tff(14187,plain,
% 38.48/24.90 (v123(constB120, bitIndex1)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14186, 14182])).
% 38.48/24.90 tff(14188,plain,
% 38.48/24.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14189,plain,
% 38.48/24.90 ((v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1))) <=> (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14190,plain,
% 38.48/24.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120))))),
% 38.48/24.90 inference(monotonicity,[status(thm)],[14189])).
% 38.48/24.90 tff(14191,plain,
% 38.48/24.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 38.48/24.90 inference(transitivity,[status(thm)],[14190, 14188])).
% 38.48/24.90 tff(14192,plain,
% 38.48/24.90 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14193,plain,
% 38.48/24.90 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120))),
% 38.48/24.90 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 38.48/24.90 tff(14194,plain,
% 38.48/24.90 (v84(constB120, bitIndex1) | (~v94(constB120))),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14193, 905, 14187])).
% 38.48/24.90 tff(14195,plain,
% 38.48/24.90 (v84(constB120, bitIndex1)),
% 38.48/24.90 inference(unit_resolution,[status(thm)],[14194, 14121])).
% 38.48/24.90 tff(14196,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14197,plain,
% 38.48/24.90 (((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1)) <=> ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 38.48/24.90 inference(rewrite,[status(thm)],[])).
% 38.48/24.90 tff(14198,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1)))),
% 38.48/24.90 inference(monotonicity,[status(thm)],[14197])).
% 38.48/24.90 tff(14199,plain,
% 38.48/24.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 38.48/24.90 inference(transitivity,[status(thm)],[14198, 14196])).
% 38.48/24.90 tff(14200,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))),
% 38.48/24.90 inference(quant_inst,[status(thm)],[])).
% 38.48/24.90 tff(14201,plain,
% 38.48/24.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14200, 14199])).
% 38.48/24.91 tff(14202,plain,
% 38.48/24.91 ((~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14201, 923, 14152])).
% 38.48/24.91 tff(14203,plain,
% 38.48/24.91 ((~v84(constB120, bitIndex1)) | v84(constB121, bitIndex1)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14202, 14164])).
% 38.48/24.91 tff(14204,plain,
% 38.48/24.91 (v84(constB121, bitIndex1)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14203, 14195])).
% 38.48/24.91 tff(14205,plain,
% 38.48/24.91 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB119)) | v124(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB119)) | v124(constB119, bitIndex0))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14206,plain,
% 38.48/24.91 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB119)) | v124(constB119, bitIndex0))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14207,plain,
% 38.48/24.91 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB119)) | v124(constB119, bitIndex0)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14206, 14205])).
% 38.48/24.91 tff(14208,plain,
% 38.48/24.91 (v124(constB119, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14207, 1791, 14048])).
% 38.48/24.91 tff(14209,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB119) | (~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB119) | (~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14210,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB119) | (~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14211,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB119) | (~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14210, 14209])).
% 38.48/24.91 tff(14212,plain,
% 38.48/24.91 ((~v124(constB119, bitIndex0)) | v121(constB119, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14211, 1289, 14072])).
% 38.48/24.91 tff(14213,plain,
% 38.48/24.91 (v121(constB119, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14212, 14208])).
% 38.48/24.91 tff(14214,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14215,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14216,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14215, 14214])).
% 38.48/24.91 tff(14217,plain,
% 38.48/24.91 ((~v121(constB119, bitIndex0)) | v123(constB120, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14216, 1304, 14087])).
% 38.48/24.91 tff(14218,plain,
% 38.48/24.91 (v123(constB120, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14217, 14213])).
% 38.48/24.91 tff(14219,plain,
% 38.48/24.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14220,plain,
% 38.48/24.91 ((v84(constB120, bitIndex0) | (~v94(constB120)) | (~v123(constB120, bitIndex0))) <=> (v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14221,plain,
% 38.48/24.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v94(constB120)) | (~v123(constB120, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120))))),
% 38.48/24.91 inference(monotonicity,[status(thm)],[14220])).
% 38.48/24.91 tff(14222,plain,
% 38.48/24.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v94(constB120)) | (~v123(constB120, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120)))),
% 38.48/24.91 inference(transitivity,[status(thm)],[14221, 14219])).
% 38.48/24.91 tff(14223,plain,
% 38.48/24.91 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~v94(constB120)) | (~v123(constB120, bitIndex0)))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14224,plain,
% 38.48/24.91 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~v123(constB120, bitIndex0)) | (~v94(constB120))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14223, 14222])).
% 38.48/24.91 tff(14225,plain,
% 38.48/24.91 (v84(constB120, bitIndex0) | (~v94(constB120))),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14224, 1319, 14218])).
% 38.48/24.91 tff(14226,plain,
% 38.48/24.91 (v84(constB120, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14225, 14121])).
% 38.48/24.91 tff(14227,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14228,plain,
% 38.48/24.91 (((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0)) <=> ((~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14229,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0)))),
% 38.48/24.91 inference(monotonicity,[status(thm)],[14228])).
% 38.48/24.91 tff(14230,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0))),
% 38.48/24.91 inference(transitivity,[status(thm)],[14229, 14227])).
% 38.48/24.91 tff(14231,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14232,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex0)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14231, 14230])).
% 38.48/24.91 tff(14233,plain,
% 38.48/24.91 ((~v84(constB120, bitIndex0)) | v94(constB121) | v84(constB121, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14232, 1337, 14152])).
% 38.48/24.91 tff(14234,plain,
% 38.48/24.91 ((~v84(constB120, bitIndex0)) | v84(constB121, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14233, 14164])).
% 38.48/24.91 tff(14235,plain,
% 38.48/24.91 (v84(constB121, bitIndex0)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14234, 14226])).
% 38.48/24.91 tff(14236,plain,
% 38.48/24.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14237,plain,
% 38.48/24.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14238,plain,
% 38.48/24.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 38.48/24.91 tff(14239,plain,
% 38.48/24.91 (v116(constB121)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14238, 1832, 14235, 14204, 14173])).
% 38.48/24.91 tff(14240,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB121) | (~v116(constB121)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB121) | (~v116(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14241,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB121) | (~v116(constB121)))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14242,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB121) | (~v116(constB121))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14241, 14240])).
% 38.48/24.91 tff(14243,plain,
% 38.48/24.91 (v110(constB121)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14242, 1843, 14239])).
% 38.48/24.91 tff(14244,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB121) | (~v110(constB121)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB121) | (~v110(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14245,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB121) | (~v110(constB121)))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14246,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB121) | (~v110(constB121))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14245, 14244])).
% 38.48/24.91 tff(14247,plain,
% 38.48/24.91 (v109(constB121)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14246, 314, 14243])).
% 38.48/24.91 tff(14248,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB121) | (~v109(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB121) | (~v109(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14249,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB121) | (~v109(constB121)))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14250,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB121) | (~v109(constB121))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14249, 14248])).
% 38.48/24.91 tff(14251,plain,
% 38.48/24.91 (v108(constB121)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14250, 325, 14247])).
% 38.48/24.91 tff(14252,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB121) | (~v108(constB121)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB121) | (~v108(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14253,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB121) | (~v108(constB121)))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14254,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB121) | (~v108(constB121))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14253, 14252])).
% 38.48/24.91 tff(14255,plain,
% 38.48/24.91 (v107(constB121)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14254, 336, 14251])).
% 38.48/24.91 tff(14256,assumption,(v26(constB121)), introduced(assumption)).
% 38.48/24.91 tff(14257,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14258,plain,
% 38.48/24.91 ($false),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14257, 120, 14256])).
% 38.48/24.91 tff(14259,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 38.48/24.91 tff(14260,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14261,plain,
% 38.48/24.91 ((v26(constB121) | (~v107(constB121)) | v106(constB121)) <=> (v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14262,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121))))),
% 38.48/24.91 inference(monotonicity,[status(thm)],[14261])).
% 38.48/24.91 tff(14263,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 38.48/24.91 inference(transitivity,[status(thm)],[14262, 14260])).
% 38.48/24.91 tff(14264,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14265,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14264, 14263])).
% 38.48/24.91 tff(14266,plain,
% 38.48/24.91 (v106(constB121) | (~v107(constB121))),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14265, 350, 14259])).
% 38.48/24.91 tff(14267,plain,
% 38.48/24.91 (v106(constB121)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14266, 14255])).
% 38.48/24.91 tff(14268,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB121) | (~v106(constB121)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB121) | (~v106(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14269,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB121) | (~v106(constB121)))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14270,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB121) | (~v106(constB121))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 38.48/24.91 tff(14271,plain,
% 38.48/24.91 (v102(constB121)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14270, 362, 14267])).
% 38.48/24.91 tff(14272,plain,
% 38.48/24.91 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14273,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 38.48/24.91 tff(14274,plain,
% 38.48/24.91 (nextState(constB121, constB122)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 38.48/24.91 tff(14275,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14276,plain,
% 38.48/24.91 (((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14277,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))))),
% 38.48/24.91 inference(monotonicity,[status(thm)],[14276])).
% 38.48/24.91 tff(14278,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 38.48/24.91 inference(transitivity,[status(thm)],[14277, 14275])).
% 38.48/24.91 tff(14279,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14280,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 38.48/24.91 tff(14281,plain,
% 38.48/24.91 (v104(constB122) | (~v102(constB121))),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14280, 379, 14274])).
% 38.48/24.91 tff(14282,plain,
% 38.48/24.91 (v104(constB122)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14281, 14271])).
% 38.48/24.91 tff(14283,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14284,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14285,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14284, 14283])).
% 38.48/24.91 tff(14286,plain,
% 38.48/24.91 (~v98(constB122)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14285, 397, 14274, 14149])).
% 38.48/24.91 tff(14287,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14288,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14289,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14288, 14287])).
% 38.48/24.91 tff(14290,plain,
% 38.48/24.91 (v96(constB122) | v98(constB122)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14289, 411, 14274])).
% 38.48/24.91 tff(14291,plain,
% 38.48/24.91 (v96(constB122)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14290, 14286])).
% 38.48/24.91 tff(14292,plain,
% 38.48/24.91 (v1(constB122) <=> v1(constB122)),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14293,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 38.48/24.91 tff(14294,plain,
% 38.48/24.91 (v1(constB122)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14293, 14292])).
% 38.48/24.91 tff(14295,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14296,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14297,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14296, 14295])).
% 38.48/24.91 tff(14298,plain,
% 38.48/24.91 (v95(constB122) | (~v96(constB122))),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14297, 429, 14274, 14294])).
% 38.48/24.91 tff(14299,plain,
% 38.48/24.91 (v95(constB122)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14298, 14291])).
% 38.48/24.91 tff(14300,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14301,plain,
% 38.48/24.91 (((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122)) <=> ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14302,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122))))),
% 38.48/24.91 inference(monotonicity,[status(thm)],[14301])).
% 38.48/24.91 tff(14303,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 38.48/24.91 inference(transitivity,[status(thm)],[14302, 14300])).
% 38.48/24.91 tff(14304,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14305,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122))),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14304, 14303])).
% 38.48/24.91 tff(14306,plain,
% 38.48/24.91 (v94(constB122) | (~v95(constB122)) | (~v104(constB122))),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14305, 444, 14274])).
% 38.48/24.91 tff(14307,plain,
% 38.48/24.91 (v94(constB122) | (~v104(constB122))),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14306, 14299])).
% 38.48/24.91 tff(14308,plain,
% 38.48/24.91 (v94(constB122)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14307, 14282])).
% 38.48/24.91 tff(14309,plain,
% 38.48/24.91 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB121)) | v124(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB121)) | v124(constB121, bitIndex2))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14310,plain,
% 38.48/24.91 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB121)) | v124(constB121, bitIndex2))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14311,plain,
% 38.48/24.91 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB121)) | v124(constB121, bitIndex2)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14310, 14309])).
% 38.48/24.91 tff(14312,plain,
% 38.48/24.91 (v124(constB121, bitIndex2)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14311, 1918, 14239])).
% 38.48/24.91 tff(14313,plain,
% 38.48/24.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB121) | (~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB121) | (~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14314,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB121) | (~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14315,plain,
% 38.48/24.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB121) | (~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14314, 14313])).
% 38.48/24.91 tff(14316,plain,
% 38.48/24.91 ((~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14315, 477, 14259])).
% 38.48/24.91 tff(14317,plain,
% 38.48/24.91 (v121(constB121, bitIndex2)),
% 38.48/24.91 inference(unit_resolution,[status(thm)],[14316, 14312])).
% 38.48/24.91 tff(14318,plain,
% 38.48/24.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2))),
% 38.48/24.91 inference(rewrite,[status(thm)],[])).
% 38.48/24.91 tff(14319,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2))),
% 38.48/24.91 inference(quant_inst,[status(thm)],[])).
% 38.48/24.91 tff(14320,plain,
% 38.48/24.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2)),
% 38.48/24.91 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 38.48/24.91 tff(14321,plain,
% 38.48/24.91 ((~v121(constB121, bitIndex2)) | v123(constB122, bitIndex2)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14320, 492, 14274])).
% 38.48/24.92 tff(14322,plain,
% 38.48/24.92 (v123(constB122, bitIndex2)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14321, 14317])).
% 38.48/24.92 tff(14323,plain,
% 38.48/24.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14324,plain,
% 38.48/24.92 ((v84(constB122, bitIndex2) | (~v94(constB122)) | (~v123(constB122, bitIndex2))) <=> (v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14325,plain,
% 38.48/24.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v94(constB122)) | (~v123(constB122, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122))))),
% 38.48/24.92 inference(monotonicity,[status(thm)],[14324])).
% 38.48/24.92 tff(14326,plain,
% 38.48/24.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v94(constB122)) | (~v123(constB122, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122)))),
% 38.48/24.92 inference(transitivity,[status(thm)],[14325, 14323])).
% 38.48/24.92 tff(14327,plain,
% 38.48/24.92 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~v94(constB122)) | (~v123(constB122, bitIndex2)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14328,plain,
% 38.48/24.92 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)) | (~v94(constB122))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14327, 14326])).
% 38.48/24.92 tff(14329,plain,
% 38.48/24.92 (v84(constB122, bitIndex2) | (~v94(constB122))),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14328, 507, 14322])).
% 38.48/24.92 tff(14330,plain,
% 38.48/24.92 (v84(constB122, bitIndex2)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14329, 14308])).
% 38.48/24.92 tff(14331,plain,
% 38.48/24.92 ((~v1(constB123)) <=> (~v1(constB123))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14332,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 38.48/24.92 tff(14333,plain,
% 38.48/24.92 (~v1(constB123)),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 38.48/24.92 tff(14334,plain,
% 38.48/24.92 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14335,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 38.48/24.92 tff(14336,plain,
% 38.48/24.92 (nextState(constB122, constB123)),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14335, 14334])).
% 38.48/24.92 tff(14337,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14338,plain,
% 38.48/24.92 (((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14339,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))))),
% 38.48/24.92 inference(monotonicity,[status(thm)],[14338])).
% 38.48/24.92 tff(14340,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 38.48/24.92 inference(transitivity,[status(thm)],[14339, 14337])).
% 38.48/24.92 tff(14341,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14342,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14341, 14340])).
% 38.48/24.92 tff(14343,plain,
% 38.48/24.92 (~v95(constB123)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14342, 175, 14336, 14333])).
% 38.48/24.92 tff(14344,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14345,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14346,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14345, 14344])).
% 38.48/24.92 tff(14347,plain,
% 38.48/24.92 (v95(constB123) | (~v94(constB123))),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14346, 192, 14336])).
% 38.48/24.92 tff(14348,plain,
% 38.48/24.92 (~v94(constB123)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14347, 14343])).
% 38.48/24.92 tff(14349,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14350,plain,
% 38.48/24.92 (((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2)) <=> ((~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14351,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2)))),
% 38.48/24.92 inference(monotonicity,[status(thm)],[14350])).
% 38.48/24.92 tff(14352,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2))),
% 38.48/24.92 inference(transitivity,[status(thm)],[14351, 14349])).
% 38.48/24.92 tff(14353,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14354,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex2)),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14353, 14352])).
% 38.48/24.92 tff(14355,plain,
% 38.48/24.92 ((~v84(constB122, bitIndex2)) | v94(constB123) | v84(constB123, bitIndex2)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14354, 543, 14336])).
% 38.48/24.92 tff(14356,plain,
% 38.48/24.92 ((~v84(constB122, bitIndex2)) | v84(constB123, bitIndex2)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14355, 14348])).
% 38.48/24.92 tff(14357,plain,
% 38.48/24.92 (v84(constB123, bitIndex2)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14356, 14330])).
% 38.48/24.92 tff(14358,plain,
% 38.48/24.92 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB121)) | (~v124(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB121)) | (~v124(constB121, bitIndex1)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14359,plain,
% 38.48/24.92 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB121)) | (~v124(constB121, bitIndex1)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14360,plain,
% 38.48/24.92 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB121)) | (~v124(constB121, bitIndex1))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14359, 14358])).
% 38.48/24.92 tff(14361,plain,
% 38.48/24.92 (~v124(constB121, bitIndex1)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14360, 1977, 14239])).
% 38.48/24.92 tff(14362,plain,
% 38.48/24.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14363,plain,
% 38.48/24.92 ((v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1))) <=> ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14364,plain,
% 38.48/24.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1)))),
% 38.48/24.92 inference(monotonicity,[status(thm)],[14363])).
% 38.48/24.92 tff(14365,plain,
% 38.48/24.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 38.48/24.92 inference(transitivity,[status(thm)],[14364, 14362])).
% 38.48/24.92 tff(14366,plain,
% 38.48/24.92 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14367,plain,
% 38.48/24.92 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1)),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14366, 14365])).
% 38.48/24.92 tff(14368,plain,
% 38.48/24.92 ((~v121(constB121, bitIndex1)) | v124(constB121, bitIndex1)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14367, 576, 14259])).
% 38.48/24.92 tff(14369,plain,
% 38.48/24.92 (~v121(constB121, bitIndex1)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14368, 14361])).
% 38.48/24.92 tff(14370,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14371,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14372,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 38.48/24.92 tff(14373,plain,
% 38.48/24.92 (v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1))),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14372, 594, 14274])).
% 38.48/24.92 tff(14374,plain,
% 38.48/24.92 (~v123(constB122, bitIndex1)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14373, 14369])).
% 38.48/24.92 tff(14375,plain,
% 38.48/24.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14376,plain,
% 38.48/24.92 (((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1)) <=> ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14377,plain,
% 38.48/24.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122))))),
% 38.48/24.92 inference(monotonicity,[status(thm)],[14376])).
% 38.48/24.92 tff(14378,plain,
% 38.48/24.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 38.48/24.92 inference(transitivity,[status(thm)],[14377, 14375])).
% 38.48/24.92 tff(14379,plain,
% 38.48/24.92 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14380,plain,
% 38.48/24.92 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 38.48/24.92 tff(14381,plain,
% 38.48/24.92 ((~v84(constB122, bitIndex1)) | (~v94(constB122))),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14380, 609, 14374])).
% 38.48/24.92 tff(14382,plain,
% 38.48/24.92 (~v84(constB122, bitIndex1)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14381, 14308])).
% 38.48/24.92 tff(14383,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14384,plain,
% 38.48/24.92 (((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1))) <=> (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14385,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1))))),
% 38.48/24.92 inference(monotonicity,[status(thm)],[14384])).
% 38.48/24.92 tff(14386,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 38.48/24.92 inference(transitivity,[status(thm)],[14385, 14383])).
% 38.48/24.92 tff(14387,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14388,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14387, 14386])).
% 38.48/24.92 tff(14389,plain,
% 38.48/24.92 (v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1))),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14388, 228, 14336])).
% 38.48/24.92 tff(14390,plain,
% 38.48/24.92 (v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1))),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14389, 14348])).
% 38.48/24.92 tff(14391,plain,
% 38.48/24.92 (~v84(constB123, bitIndex1)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14390, 14382])).
% 38.48/24.92 tff(14392,plain,
% 38.48/24.92 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB121)) | (~v124(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB121)) | (~v124(constB121, bitIndex0)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14393,plain,
% 38.48/24.92 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB121)) | (~v124(constB121, bitIndex0)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14394,plain,
% 38.48/24.92 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB121)) | (~v124(constB121, bitIndex0))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 38.48/24.92 tff(14395,plain,
% 38.48/24.92 (~v124(constB121, bitIndex0)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14394, 2021, 14239])).
% 38.48/24.92 tff(14396,plain,
% 38.48/24.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14397,plain,
% 38.48/24.92 ((v26(constB121) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0))) <=> ((~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14398,plain,
% 38.48/24.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB121) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0)))),
% 38.48/24.92 inference(monotonicity,[status(thm)],[14397])).
% 38.48/24.92 tff(14399,plain,
% 38.48/24.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB121) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0))),
% 38.48/24.92 inference(transitivity,[status(thm)],[14398, 14396])).
% 38.48/24.92 tff(14400,plain,
% 38.48/24.92 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB121) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14401,plain,
% 38.48/24.92 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB121, bitIndex0)) | v26(constB121) | v124(constB121, bitIndex0)),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 38.48/24.92 tff(14402,plain,
% 38.48/24.92 ((~v121(constB121, bitIndex0)) | v124(constB121, bitIndex0)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14401, 650, 14259])).
% 38.48/24.92 tff(14403,plain,
% 38.48/24.92 (~v121(constB121, bitIndex0)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14402, 14395])).
% 38.48/24.92 tff(14404,plain,
% 38.48/24.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14405,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0)))),
% 38.48/24.92 inference(quant_inst,[status(thm)],[])).
% 38.48/24.92 tff(14406,plain,
% 38.48/24.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0))),
% 38.48/24.92 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 38.48/24.92 tff(14407,plain,
% 38.48/24.92 (v121(constB121, bitIndex0) | (~v123(constB122, bitIndex0))),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14406, 668, 14274])).
% 38.48/24.92 tff(14408,plain,
% 38.48/24.92 (~v123(constB122, bitIndex0)),
% 38.48/24.92 inference(unit_resolution,[status(thm)],[14407, 14403])).
% 38.48/24.92 tff(14409,plain,
% 38.48/24.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.92 tff(14410,plain,
% 38.48/24.92 (((~v84(constB122, bitIndex0)) | (~v94(constB122)) | v123(constB122, bitIndex0)) <=> ((~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122)))),
% 38.48/24.92 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14411,plain,
% 38.48/24.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~v94(constB122)) | v123(constB122, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122))))),
% 38.48/24.93 inference(monotonicity,[status(thm)],[14410])).
% 38.48/24.93 tff(14412,plain,
% 38.48/24.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~v94(constB122)) | v123(constB122, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122)))),
% 38.48/24.93 inference(transitivity,[status(thm)],[14411, 14409])).
% 38.48/24.93 tff(14413,plain,
% 38.48/24.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~v94(constB122)) | v123(constB122, bitIndex0))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14414,plain,
% 38.48/24.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0) | (~v94(constB122))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 38.48/24.93 tff(14415,plain,
% 38.48/24.93 ((~v84(constB122, bitIndex0)) | (~v94(constB122))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14414, 683, 14408])).
% 38.48/24.93 tff(14416,plain,
% 38.48/24.93 (~v84(constB122, bitIndex0)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14415, 14308])).
% 38.48/24.93 tff(14417,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14418,plain,
% 38.48/24.93 (((~nextState(constB122, constB123)) | v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0))) <=> (v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14419,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0))))),
% 38.48/24.93 inference(monotonicity,[status(thm)],[14418])).
% 38.48/24.93 tff(14420,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0)))),
% 38.48/24.93 inference(transitivity,[status(thm)],[14419, 14417])).
% 38.48/24.93 tff(14421,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14422,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex0))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14421, 14420])).
% 38.48/24.93 tff(14423,plain,
% 38.48/24.93 (v84(constB122, bitIndex0) | v94(constB123) | (~v84(constB123, bitIndex0))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14422, 249, 14336])).
% 38.48/24.93 tff(14424,plain,
% 38.48/24.93 (v84(constB122, bitIndex0) | (~v84(constB123, bitIndex0))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14423, 14348])).
% 38.48/24.93 tff(14425,plain,
% 38.48/24.93 (~v84(constB123, bitIndex0)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14424, 14416])).
% 38.48/24.93 tff(14426,plain,
% 38.48/24.93 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14427,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14428,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 38.48/24.93 tff(14429,plain,
% 38.48/24.93 (v172(constB123)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14428, 710, 14425, 14391, 14357])).
% 38.48/24.93 tff(14430,plain,
% 38.48/24.93 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB123) | (~v172(constB123)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB123) | (~v172(constB123)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14431,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB123) | (~v172(constB123)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14432,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB123) | (~v172(constB123))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14431, 14430])).
% 38.48/24.93 tff(14433,plain,
% 38.48/24.93 (v109(constB123)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14432, 764, 14429])).
% 38.48/24.93 tff(14434,plain,
% 38.48/24.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB123) | (~v109(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB123) | (~v109(constB123)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14435,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB123) | (~v109(constB123)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14436,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB123) | (~v109(constB123))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14435, 14434])).
% 38.48/24.93 tff(14437,plain,
% 38.48/24.93 (v108(constB123)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14436, 325, 14433])).
% 38.48/24.93 tff(14438,plain,
% 38.48/24.93 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB123) | (~v108(constB123)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB123) | (~v108(constB123)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14439,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB123) | (~v108(constB123)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14440,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB123) | (~v108(constB123))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14439, 14438])).
% 38.48/24.93 tff(14441,plain,
% 38.48/24.93 (v107(constB123)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14440, 336, 14437])).
% 38.48/24.93 tff(14442,assumption,(v26(constB123)), introduced(assumption)).
% 38.48/24.93 tff(14443,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14444,plain,
% 38.48/24.93 ($false),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14443, 120, 14442])).
% 38.48/24.93 tff(14445,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 38.48/24.93 tff(14446,plain,
% 38.48/24.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | (~v107(constB123)) | v106(constB123))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14447,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14448,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | (~v107(constB123)) | v106(constB123)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14447, 14446])).
% 38.48/24.93 tff(14449,plain,
% 38.48/24.93 ((~v107(constB123)) | v106(constB123)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14448, 350, 14445])).
% 38.48/24.93 tff(14450,plain,
% 38.48/24.93 (v106(constB123)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14449, 14441])).
% 38.48/24.93 tff(14451,plain,
% 38.48/24.93 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB123) | (~v106(constB123)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB123) | (~v106(constB123)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14452,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB123) | (~v106(constB123)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14453,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB123) | (~v106(constB123))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14452, 14451])).
% 38.48/24.93 tff(14454,plain,
% 38.48/24.93 (v102(constB123)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14453, 362, 14450])).
% 38.48/24.93 tff(14455,plain,
% 38.48/24.93 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14456,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 38.48/24.93 tff(14457,plain,
% 38.48/24.93 (nextState(constB123, constB124)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14456, 14455])).
% 38.48/24.93 tff(14458,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14459,plain,
% 38.48/24.93 (((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14460,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))))),
% 38.48/24.93 inference(monotonicity,[status(thm)],[14459])).
% 38.48/24.93 tff(14461,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 38.48/24.93 inference(transitivity,[status(thm)],[14460, 14458])).
% 38.48/24.93 tff(14462,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14463,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14462, 14461])).
% 38.48/24.93 tff(14464,plain,
% 38.48/24.93 (v104(constB124) | (~v102(constB123))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14463, 379, 14457])).
% 38.48/24.93 tff(14465,plain,
% 38.48/24.93 (v104(constB124)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14464, 14454])).
% 38.48/24.93 tff(14466,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14467,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14468,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14467, 14466])).
% 38.48/24.93 tff(14469,plain,
% 38.48/24.93 (~v98(constB124)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14468, 397, 14457, 14333])).
% 38.48/24.93 tff(14470,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14471,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14472,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14471, 14470])).
% 38.48/24.93 tff(14473,plain,
% 38.48/24.93 (v96(constB124) | v98(constB124)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14472, 411, 14457])).
% 38.48/24.93 tff(14474,plain,
% 38.48/24.93 (v96(constB124)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14473, 14469])).
% 38.48/24.93 tff(14475,plain,
% 38.48/24.93 (v1(constB124) <=> v1(constB124)),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14476,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 38.48/24.93 tff(14477,plain,
% 38.48/24.93 (v1(constB124)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14476, 14475])).
% 38.48/24.93 tff(14478,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14479,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14480,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14479, 14478])).
% 38.48/24.93 tff(14481,plain,
% 38.48/24.93 (v95(constB124) | (~v96(constB124))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14480, 429, 14457, 14477])).
% 38.48/24.93 tff(14482,plain,
% 38.48/24.93 (v95(constB124)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14481, 14474])).
% 38.48/24.93 tff(14483,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14484,plain,
% 38.48/24.93 (((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124)) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14485,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124))))),
% 38.48/24.93 inference(monotonicity,[status(thm)],[14484])).
% 38.48/24.93 tff(14486,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 38.48/24.93 inference(transitivity,[status(thm)],[14485, 14483])).
% 38.48/24.93 tff(14487,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14488,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14487, 14486])).
% 38.48/24.93 tff(14489,plain,
% 38.48/24.93 (v94(constB124) | (~v95(constB124)) | (~v104(constB124))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14488, 444, 14457])).
% 38.48/24.93 tff(14490,plain,
% 38.48/24.93 (v94(constB124) | (~v104(constB124))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14489, 14482])).
% 38.48/24.93 tff(14491,plain,
% 38.48/24.93 (v94(constB124)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14490, 14465])).
% 38.48/24.93 tff(14492,plain,
% 38.48/24.93 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB123)) | v124(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB123)) | v124(constB123, bitIndex2))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14493,plain,
% 38.48/24.93 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB123)) | v124(constB123, bitIndex2))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14494,plain,
% 38.48/24.93 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB123)) | v124(constB123, bitIndex2)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 38.48/24.93 tff(14495,plain,
% 38.48/24.93 (v124(constB123, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14494, 724, 14429])).
% 38.48/24.93 tff(14496,plain,
% 38.48/24.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB123) | (~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB123) | (~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14497,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB123) | (~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14498,plain,
% 38.48/24.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB123) | (~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 38.48/24.93 tff(14499,plain,
% 38.48/24.93 ((~v124(constB123, bitIndex2)) | v121(constB123, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14498, 477, 14445])).
% 38.48/24.93 tff(14500,plain,
% 38.48/24.93 (v121(constB123, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14499, 14495])).
% 38.48/24.93 tff(14501,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14502,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14503,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14502, 14501])).
% 38.48/24.93 tff(14504,plain,
% 38.48/24.93 ((~v121(constB123, bitIndex2)) | v123(constB124, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14503, 492, 14457])).
% 38.48/24.93 tff(14505,plain,
% 38.48/24.93 (v123(constB124, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14504, 14500])).
% 38.48/24.93 tff(14506,plain,
% 38.48/24.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14507,plain,
% 38.48/24.93 ((v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2))) <=> (v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14508,plain,
% 38.48/24.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124))))),
% 38.48/24.93 inference(monotonicity,[status(thm)],[14507])).
% 38.48/24.93 tff(14509,plain,
% 38.48/24.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124)))),
% 38.48/24.93 inference(transitivity,[status(thm)],[14508, 14506])).
% 38.48/24.93 tff(14510,plain,
% 38.48/24.93 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14511,plain,
% 38.48/24.93 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)) | (~v94(constB124))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14510, 14509])).
% 38.48/24.93 tff(14512,plain,
% 38.48/24.93 (v84(constB124, bitIndex2) | (~v94(constB124))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14511, 507, 14505])).
% 38.48/24.93 tff(14513,plain,
% 38.48/24.93 (v84(constB124, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14512, 14491])).
% 38.48/24.93 tff(14514,plain,
% 38.48/24.93 ((~v1(constB125)) <=> (~v1(constB125))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14515,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 38.48/24.93 tff(14516,plain,
% 38.48/24.93 (~v1(constB125)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14515, 14514])).
% 38.48/24.93 tff(14517,plain,
% 38.48/24.93 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14518,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 38.48/24.93 tff(14519,plain,
% 38.48/24.93 (nextState(constB124, constB125)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14518, 14517])).
% 38.48/24.93 tff(14520,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14521,plain,
% 38.48/24.93 (((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14522,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))))),
% 38.48/24.93 inference(monotonicity,[status(thm)],[14521])).
% 38.48/24.93 tff(14523,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 38.48/24.93 inference(transitivity,[status(thm)],[14522, 14520])).
% 38.48/24.93 tff(14524,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14525,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14524, 14523])).
% 38.48/24.93 tff(14526,plain,
% 38.48/24.93 (~v95(constB125)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14525, 175, 14519, 14516])).
% 38.48/24.93 tff(14527,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14528,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14529,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125))),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14528, 14527])).
% 38.48/24.93 tff(14530,plain,
% 38.48/24.93 (v95(constB125) | (~v94(constB125))),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14529, 192, 14519])).
% 38.48/24.93 tff(14531,plain,
% 38.48/24.93 (~v94(constB125)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14530, 14526])).
% 38.48/24.93 tff(14532,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14533,plain,
% 38.48/24.93 (((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2)) <=> ((~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14534,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2)))),
% 38.48/24.93 inference(monotonicity,[status(thm)],[14533])).
% 38.48/24.93 tff(14535,plain,
% 38.48/24.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2))),
% 38.48/24.93 inference(transitivity,[status(thm)],[14534, 14532])).
% 38.48/24.93 tff(14536,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14537,plain,
% 38.48/24.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex2)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14536, 14535])).
% 38.48/24.93 tff(14538,plain,
% 38.48/24.93 ((~v84(constB124, bitIndex2)) | v94(constB125) | v84(constB125, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14537, 543, 14519])).
% 38.48/24.93 tff(14539,plain,
% 38.48/24.93 ((~v84(constB124, bitIndex2)) | v84(constB125, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14538, 14531])).
% 38.48/24.93 tff(14540,plain,
% 38.48/24.93 (v84(constB125, bitIndex2)),
% 38.48/24.93 inference(unit_resolution,[status(thm)],[14539, 14513])).
% 38.48/24.93 tff(14541,plain,
% 38.48/24.93 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB123)) | v124(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB123)) | v124(constB123, bitIndex1))),
% 38.48/24.93 inference(rewrite,[status(thm)],[])).
% 38.48/24.93 tff(14542,plain,
% 38.48/24.93 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB123)) | v124(constB123, bitIndex1))),
% 38.48/24.93 inference(quant_inst,[status(thm)],[])).
% 38.48/24.93 tff(14543,plain,
% 38.48/24.93 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB123)) | v124(constB123, bitIndex1)),
% 38.48/24.93 inference(modus_ponens,[status(thm)],[14542, 14541])).
% 38.48/24.93 tff(14544,plain,
% 38.48/24.94 (v124(constB123, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14543, 861, 14429])).
% 38.48/24.94 tff(14545,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14546,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14547,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1)),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14546, 14545])).
% 38.48/24.94 tff(14548,plain,
% 38.48/24.94 ((~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14547, 875, 14445])).
% 38.48/24.94 tff(14549,plain,
% 38.48/24.94 (v121(constB123, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14548, 14544])).
% 38.48/24.94 tff(14550,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14551,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14552,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1)),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14551, 14550])).
% 38.48/24.94 tff(14553,plain,
% 38.48/24.94 ((~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14552, 890, 14457])).
% 38.48/24.94 tff(14554,plain,
% 38.48/24.94 (v123(constB124, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14553, 14549])).
% 38.48/24.94 tff(14555,plain,
% 38.48/24.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14556,plain,
% 38.48/24.94 ((v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1))) <=> (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14557,plain,
% 38.48/24.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124))))),
% 38.48/24.94 inference(monotonicity,[status(thm)],[14556])).
% 38.48/24.94 tff(14558,plain,
% 38.48/24.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 38.48/24.94 inference(transitivity,[status(thm)],[14557, 14555])).
% 38.48/24.94 tff(14559,plain,
% 38.48/24.94 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14560,plain,
% 38.48/24.94 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14559, 14558])).
% 38.48/24.94 tff(14561,plain,
% 38.48/24.94 (v84(constB124, bitIndex1) | (~v94(constB124))),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14560, 905, 14554])).
% 38.48/24.94 tff(14562,plain,
% 38.48/24.94 (v84(constB124, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14561, 14491])).
% 38.48/24.94 tff(14563,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14564,plain,
% 38.48/24.94 (((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1)) <=> ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14565,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1)))),
% 38.48/24.94 inference(monotonicity,[status(thm)],[14564])).
% 38.48/24.94 tff(14566,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 38.48/24.94 inference(transitivity,[status(thm)],[14565, 14563])).
% 38.48/24.94 tff(14567,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14568,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1)),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14567, 14566])).
% 38.48/24.94 tff(14569,plain,
% 38.48/24.94 ((~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14568, 923, 14519])).
% 38.48/24.94 tff(14570,plain,
% 38.48/24.94 ((~v84(constB124, bitIndex1)) | v84(constB125, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14569, 14531])).
% 38.48/24.94 tff(14571,plain,
% 38.48/24.94 (v84(constB125, bitIndex1)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14570, 14562])).
% 38.48/24.94 tff(14572,plain,
% 38.48/24.94 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB123)) | (~v124(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB123)) | (~v124(constB123, bitIndex0)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14573,plain,
% 38.48/24.94 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB123)) | (~v124(constB123, bitIndex0)))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14574,plain,
% 38.48/24.94 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB123)) | (~v124(constB123, bitIndex0))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14573, 14572])).
% 38.48/24.94 tff(14575,plain,
% 38.48/24.94 (~v124(constB123, bitIndex0)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14574, 942, 14429])).
% 38.48/24.94 tff(14576,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14577,plain,
% 38.48/24.94 ((v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0))) <=> ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14578,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0)))),
% 38.48/24.94 inference(monotonicity,[status(thm)],[14577])).
% 38.48/24.94 tff(14579,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 38.48/24.94 inference(transitivity,[status(thm)],[14578, 14576])).
% 38.48/24.94 tff(14580,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14581,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0)),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14580, 14579])).
% 38.48/24.94 tff(14582,plain,
% 38.48/24.94 ((~v121(constB123, bitIndex0)) | v124(constB123, bitIndex0)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14581, 650, 14445])).
% 38.48/24.94 tff(14583,plain,
% 38.48/24.94 (~v121(constB123, bitIndex0)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14582, 14575])).
% 38.48/24.94 tff(14584,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14585,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14586,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14585, 14584])).
% 38.48/24.94 tff(14587,plain,
% 38.48/24.94 (v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0))),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14586, 668, 14457])).
% 38.48/24.94 tff(14588,plain,
% 38.48/24.94 (~v123(constB124, bitIndex0)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14587, 14583])).
% 38.48/24.94 tff(14589,plain,
% 38.48/24.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14590,plain,
% 38.48/24.94 (((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0)) <=> ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14591,plain,
% 38.48/24.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124))))),
% 38.48/24.94 inference(monotonicity,[status(thm)],[14590])).
% 38.48/24.94 tff(14592,plain,
% 38.48/24.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 38.48/24.94 inference(transitivity,[status(thm)],[14591, 14589])).
% 38.48/24.94 tff(14593,plain,
% 38.48/24.94 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14594,plain,
% 38.48/24.94 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 38.48/24.94 tff(14595,plain,
% 38.48/24.94 ((~v84(constB124, bitIndex0)) | (~v94(constB124))),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14594, 683, 14588])).
% 38.48/24.94 tff(14596,plain,
% 38.48/24.94 (~v84(constB124, bitIndex0)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14595, 14491])).
% 38.48/24.94 tff(14597,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14598,plain,
% 38.48/24.94 (((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0))) <=> (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14599,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0))))),
% 38.48/24.94 inference(monotonicity,[status(thm)],[14598])).
% 38.48/24.94 tff(14600,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 38.48/24.94 inference(transitivity,[status(thm)],[14599, 14597])).
% 38.48/24.94 tff(14601,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14602,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14601, 14600])).
% 38.48/24.94 tff(14603,plain,
% 38.48/24.94 (v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0))),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14602, 249, 14519])).
% 38.48/24.94 tff(14604,plain,
% 38.48/24.94 (v84(constB124, bitIndex0) | (~v84(constB125, bitIndex0))),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14603, 14531])).
% 38.48/24.94 tff(14605,plain,
% 38.48/24.94 (~v84(constB125, bitIndex0)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14604, 14596])).
% 38.48/24.94 tff(14606,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14607,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14608,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125)),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 38.48/24.94 tff(14609,plain,
% 38.48/24.94 (v119(constB125)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14608, 986, 14605, 14571, 14540])).
% 38.48/24.94 tff(14610,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB125) | (~v119(constB125)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB125) | (~v119(constB125)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14611,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB125) | (~v119(constB125)))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14612,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB125) | (~v119(constB125))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14611, 14610])).
% 38.48/24.94 tff(14613,plain,
% 38.48/24.94 (v107(constB125)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14612, 997, 14609])).
% 38.48/24.94 tff(14614,assumption,(v26(constB125)), introduced(assumption)).
% 38.48/24.94 tff(14615,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14616,plain,
% 38.48/24.94 ($false),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14615, 120, 14614])).
% 38.48/24.94 tff(14617,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 38.48/24.94 tff(14618,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | v106(constB125) | (~v107(constB125)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14619,plain,
% 38.48/24.94 ((v26(constB125) | (~v107(constB125)) | v106(constB125)) <=> (v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14620,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | v106(constB125) | (~v107(constB125))))),
% 38.48/24.94 inference(monotonicity,[status(thm)],[14619])).
% 38.48/24.94 tff(14621,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 38.48/24.94 inference(transitivity,[status(thm)],[14620, 14618])).
% 38.48/24.94 tff(14622,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14623,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14622, 14621])).
% 38.48/24.94 tff(14624,plain,
% 38.48/24.94 (v106(constB125) | (~v107(constB125))),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14623, 350, 14617])).
% 38.48/24.94 tff(14625,plain,
% 38.48/24.94 (v106(constB125)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14624, 14613])).
% 38.48/24.94 tff(14626,plain,
% 38.48/24.94 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB125) | (~v106(constB125)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB125) | (~v106(constB125)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14627,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB125) | (~v106(constB125)))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14628,plain,
% 38.48/24.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB125) | (~v106(constB125))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14627, 14626])).
% 38.48/24.94 tff(14629,plain,
% 38.48/24.94 (v102(constB125)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14628, 362, 14625])).
% 38.48/24.94 tff(14630,plain,
% 38.48/24.94 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14631,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 38.48/24.94 tff(14632,plain,
% 38.48/24.94 (nextState(constB125, constB126)),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 38.48/24.94 tff(14633,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14634,plain,
% 38.48/24.94 (((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14635,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))))),
% 38.48/24.94 inference(monotonicity,[status(thm)],[14634])).
% 38.48/24.94 tff(14636,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 38.48/24.94 inference(transitivity,[status(thm)],[14635, 14633])).
% 38.48/24.94 tff(14637,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14638,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14637, 14636])).
% 38.48/24.94 tff(14639,plain,
% 38.48/24.94 (v104(constB126) | (~v102(constB125))),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14638, 379, 14632])).
% 38.48/24.94 tff(14640,plain,
% 38.48/24.94 (v104(constB126)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14639, 14629])).
% 38.48/24.94 tff(14641,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 38.48/24.94 inference(rewrite,[status(thm)],[])).
% 38.48/24.94 tff(14642,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 38.48/24.94 inference(quant_inst,[status(thm)],[])).
% 38.48/24.94 tff(14643,plain,
% 38.48/24.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126))),
% 38.48/24.94 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 38.48/24.94 tff(14644,plain,
% 38.48/24.94 (~v98(constB126)),
% 38.48/24.94 inference(unit_resolution,[status(thm)],[14643, 397, 14632, 14516])).
% 38.48/24.94 tff(14645,plain,
% 38.48/24.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14646,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14647,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126)),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14646, 14645])).
% 38.48/24.95 tff(14648,plain,
% 38.48/24.95 (v96(constB126) | v98(constB126)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14647, 411, 14632])).
% 38.48/24.95 tff(14649,plain,
% 38.48/24.95 (v96(constB126)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14648, 14644])).
% 38.48/24.95 tff(14650,plain,
% 38.48/24.95 (v1(constB126) <=> v1(constB126)),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14651,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 38.48/24.95 tff(14652,plain,
% 38.48/24.95 (v1(constB126)),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14651, 14650])).
% 38.48/24.95 tff(14653,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14654,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14655,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14654, 14653])).
% 38.48/24.95 tff(14656,plain,
% 38.48/24.95 (v95(constB126) | (~v96(constB126))),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14655, 429, 14632, 14652])).
% 38.48/24.95 tff(14657,plain,
% 38.48/24.95 (v95(constB126)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14656, 14649])).
% 38.48/24.95 tff(14658,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14659,plain,
% 38.48/24.95 (((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126)) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14660,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126))))),
% 38.48/24.95 inference(monotonicity,[status(thm)],[14659])).
% 38.48/24.95 tff(14661,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 38.48/24.95 inference(transitivity,[status(thm)],[14660, 14658])).
% 38.48/24.95 tff(14662,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14663,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14662, 14661])).
% 38.48/24.95 tff(14664,plain,
% 38.48/24.95 (v94(constB126) | (~v95(constB126)) | (~v104(constB126))),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14663, 444, 14632])).
% 38.48/24.95 tff(14665,plain,
% 38.48/24.95 (v94(constB126) | (~v104(constB126))),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14664, 14657])).
% 38.48/24.95 tff(14666,plain,
% 38.48/24.95 (v94(constB126)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14665, 14640])).
% 38.48/24.95 tff(14667,plain,
% 38.48/24.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB125, bitIndex2)) | (~v115(constB125)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14668,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v115(constB125)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14669,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB125, bitIndex2)) | (~v115(constB125))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 38.48/24.95 tff(14670,plain,
% 38.48/24.95 (~v115(constB125)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14669, 1058, 14540])).
% 38.48/24.95 tff(14671,plain,
% 38.48/24.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v116(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB125, bitIndex2)) | (~v116(constB125)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14672,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v116(constB125)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14673,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB125, bitIndex2)) | (~v116(constB125))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14672, 14671])).
% 38.48/24.95 tff(14674,plain,
% 38.48/24.95 (~v116(constB125)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14673, 1069, 14540])).
% 38.48/24.95 tff(14675,plain,
% 38.48/24.95 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB125)) | (~v84(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB125)) | (~v84(constB125, bitIndex1)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14676,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB125)) | (~v84(constB125, bitIndex1)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14677,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB125)) | (~v84(constB125, bitIndex1))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14676, 14675])).
% 38.48/24.95 tff(14678,plain,
% 38.48/24.95 (~v113(constB125)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14677, 1083, 14571])).
% 38.48/24.95 tff(14679,plain,
% 38.48/24.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v118(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v118(constB125)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14680,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v118(constB125)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14681,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v118(constB125))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14680, 14679])).
% 38.48/24.95 tff(14682,plain,
% 38.48/24.95 (~v118(constB125)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14681, 1094, 14571])).
% 38.48/24.95 tff(14683,plain,
% 38.48/24.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v172(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v172(constB125)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14684,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v172(constB125)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14685,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v172(constB125))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14684, 14683])).
% 38.48/24.95 tff(14686,plain,
% 38.48/24.95 (~v172(constB125)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14685, 1105, 14571])).
% 38.48/24.95 tff(14687,plain,
% 38.48/24.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v145(constB125)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14688,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v145(constB125)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14689,plain,
% 38.48/24.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v145(constB125))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14688, 14687])).
% 38.48/24.95 tff(14690,plain,
% 38.48/24.95 (~v145(constB125)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14689, 1116, 14571])).
% 38.48/24.95 tff(14691,plain,
% 38.48/24.95 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex2)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14692,plain,
% 38.48/24.95 ((v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex2))) <=> (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex2)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14693,plain,
% 38.48/24.95 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex2))))),
% 38.48/24.95 inference(monotonicity,[status(thm)],[14692])).
% 38.48/24.95 tff(14694,plain,
% 38.48/24.95 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex2)))),
% 38.48/24.95 inference(transitivity,[status(thm)],[14693, 14691])).
% 38.48/24.95 tff(14695,plain,
% 38.48/24.95 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex2)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14696,plain,
% 38.48/24.95 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex2))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14695, 14694])).
% 38.48/24.95 tff(14697,plain,
% 38.48/24.95 (~v124(constB125, bitIndex2)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14696, 1130, 14690, 14686, 14682, 14678, 14674, 14670])).
% 38.48/24.95 tff(14698,plain,
% 38.48/24.95 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14699,plain,
% 38.48/24.95 ((v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2))) <=> ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14700,plain,
% 38.48/24.95 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2)))),
% 38.48/24.95 inference(monotonicity,[status(thm)],[14699])).
% 38.48/24.95 tff(14701,plain,
% 38.48/24.95 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 38.48/24.95 inference(transitivity,[status(thm)],[14700, 14698])).
% 38.48/24.95 tff(14702,plain,
% 38.48/24.95 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14703,plain,
% 38.48/24.95 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2)),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14702, 14701])).
% 38.48/24.95 tff(14704,plain,
% 38.48/24.95 ((~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14703, 1147, 14617])).
% 38.48/24.95 tff(14705,plain,
% 38.48/24.95 (~v121(constB125, bitIndex2)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14704, 14697])).
% 38.48/24.95 tff(14706,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14707,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14708,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14707, 14706])).
% 38.48/24.95 tff(14709,plain,
% 38.48/24.95 (v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2))),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14708, 1165, 14632])).
% 38.48/24.95 tff(14710,plain,
% 38.48/24.95 (~v123(constB126, bitIndex2)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14709, 14705])).
% 38.48/24.95 tff(14711,plain,
% 38.48/24.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14712,plain,
% 38.48/24.95 (((~v84(constB126, bitIndex2)) | (~v94(constB126)) | v123(constB126, bitIndex2)) <=> ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14713,plain,
% 38.48/24.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | (~v94(constB126)) | v123(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126))))),
% 38.48/24.95 inference(monotonicity,[status(thm)],[14712])).
% 38.48/24.95 tff(14714,plain,
% 38.48/24.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | (~v94(constB126)) | v123(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 38.48/24.95 inference(transitivity,[status(thm)],[14713, 14711])).
% 38.48/24.95 tff(14715,plain,
% 38.48/24.95 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | (~v94(constB126)) | v123(constB126, bitIndex2))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14716,plain,
% 38.48/24.95 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14715, 14714])).
% 38.48/24.95 tff(14717,plain,
% 38.48/24.95 ((~v84(constB126, bitIndex2)) | (~v94(constB126))),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14716, 1180, 14710])).
% 38.48/24.95 tff(14718,plain,
% 38.48/24.95 (~v84(constB126, bitIndex2)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14717, 14666])).
% 38.48/24.95 tff(14719,plain,
% 38.48/24.95 ((~v1(constB127)) <=> (~v1(constB127))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14720,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 38.48/24.95 tff(14721,plain,
% 38.48/24.95 (~v1(constB127)),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14720, 14719])).
% 38.48/24.95 tff(14722,plain,
% 38.48/24.95 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14723,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 38.48/24.95 tff(14724,plain,
% 38.48/24.95 (nextState(constB126, constB127)),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14723, 14722])).
% 38.48/24.95 tff(14725,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14726,plain,
% 38.48/24.95 (((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14727,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))))),
% 38.48/24.95 inference(monotonicity,[status(thm)],[14726])).
% 38.48/24.95 tff(14728,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 38.48/24.95 inference(transitivity,[status(thm)],[14727, 14725])).
% 38.48/24.95 tff(14729,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14730,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14729, 14728])).
% 38.48/24.95 tff(14731,plain,
% 38.48/24.95 (~v95(constB127)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14730, 175, 14724, 14721])).
% 38.48/24.95 tff(14732,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14733,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14734,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14733, 14732])).
% 38.48/24.95 tff(14735,plain,
% 38.48/24.95 (v95(constB127) | (~v94(constB127))),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14734, 192, 14724])).
% 38.48/24.95 tff(14736,plain,
% 38.48/24.95 (~v94(constB127)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14735, 14731])).
% 38.48/24.95 tff(14737,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14738,plain,
% 38.48/24.95 (((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2))) <=> (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 38.48/24.95 inference(rewrite,[status(thm)],[])).
% 38.48/24.95 tff(14739,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2))))),
% 38.48/24.95 inference(monotonicity,[status(thm)],[14738])).
% 38.48/24.95 tff(14740,plain,
% 38.48/24.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 38.48/24.95 inference(transitivity,[status(thm)],[14739, 14737])).
% 38.48/24.95 tff(14741,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 38.48/24.95 inference(quant_inst,[status(thm)],[])).
% 38.48/24.95 tff(14742,plain,
% 38.48/24.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2))),
% 38.48/24.95 inference(modus_ponens,[status(thm)],[14741, 14740])).
% 38.48/24.95 tff(14743,plain,
% 38.48/24.95 (v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2))),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14742, 207, 14724])).
% 38.48/24.95 tff(14744,plain,
% 38.48/24.95 (v84(constB126, bitIndex2) | (~v84(constB127, bitIndex2))),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14743, 14736])).
% 38.48/24.95 tff(14745,plain,
% 38.48/24.95 (~v84(constB127, bitIndex2)),
% 38.48/24.95 inference(unit_resolution,[status(thm)],[14744, 14718])).
% 38.48/24.95 tff(14746,plain,
% 38.48/24.95 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex1)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14747,plain,
% 38.48/24.96 ((v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex1))) <=> (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex1)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14748,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex1))))),
% 38.48/24.96 inference(monotonicity,[status(thm)],[14747])).
% 38.48/24.96 tff(14749,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex1)))),
% 38.48/24.96 inference(transitivity,[status(thm)],[14748, 14746])).
% 38.48/24.96 tff(14750,plain,
% 38.48/24.96 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~v124(constB125, bitIndex1)))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14751,plain,
% 38.48/24.96 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | (~v124(constB125, bitIndex1))),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14750, 14749])).
% 38.48/24.96 tff(14752,plain,
% 38.48/24.96 (~v124(constB125, bitIndex1)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14751, 1225, 14690, 14686, 14682, 14678, 14674, 14670])).
% 38.48/24.96 tff(14753,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14754,plain,
% 38.48/24.96 ((v26(constB125) | v124(constB125, bitIndex1) | (~v121(constB125, bitIndex1))) <=> ((~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14755,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB125) | v124(constB125, bitIndex1) | (~v121(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1)))),
% 38.48/24.96 inference(monotonicity,[status(thm)],[14754])).
% 38.48/24.96 tff(14756,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB125) | v124(constB125, bitIndex1) | (~v121(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1))),
% 38.48/24.96 inference(transitivity,[status(thm)],[14755, 14753])).
% 38.48/24.96 tff(14757,plain,
% 38.48/24.96 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB125) | v124(constB125, bitIndex1) | (~v121(constB125, bitIndex1)))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14758,plain,
% 38.48/24.96 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB125, bitIndex1)) | v26(constB125) | v124(constB125, bitIndex1)),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14757, 14756])).
% 38.48/24.96 tff(14759,plain,
% 38.48/24.96 ((~v121(constB125, bitIndex1)) | v124(constB125, bitIndex1)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14758, 576, 14617])).
% 38.48/24.96 tff(14760,plain,
% 38.48/24.96 (~v121(constB125, bitIndex1)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14759, 14752])).
% 38.48/24.96 tff(14761,plain,
% 38.48/24.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14762,plain,
% 38.48/24.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1)))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14763,plain,
% 38.48/24.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1))),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14762, 14761])).
% 38.48/24.96 tff(14764,plain,
% 38.48/24.96 (v121(constB125, bitIndex1) | (~v123(constB126, bitIndex1))),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14763, 594, 14632])).
% 38.48/24.96 tff(14765,plain,
% 38.48/24.96 (~v123(constB126, bitIndex1)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14764, 14760])).
% 38.48/24.96 tff(14766,plain,
% 38.48/24.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14767,plain,
% 38.48/24.96 (((~v84(constB126, bitIndex1)) | (~v94(constB126)) | v123(constB126, bitIndex1)) <=> ((~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14768,plain,
% 38.48/24.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~v94(constB126)) | v123(constB126, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126))))),
% 38.48/24.96 inference(monotonicity,[status(thm)],[14767])).
% 38.48/24.96 tff(14769,plain,
% 38.48/24.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~v94(constB126)) | v123(constB126, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126)))),
% 38.48/24.96 inference(transitivity,[status(thm)],[14768, 14766])).
% 38.48/24.96 tff(14770,plain,
% 38.48/24.96 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~v94(constB126)) | v123(constB126, bitIndex1))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14771,plain,
% 38.48/24.96 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | v123(constB126, bitIndex1) | (~v94(constB126))),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14770, 14769])).
% 38.48/24.96 tff(14772,plain,
% 38.48/24.96 ((~v84(constB126, bitIndex1)) | (~v94(constB126))),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14771, 609, 14765])).
% 38.48/24.96 tff(14773,plain,
% 38.48/24.96 (~v84(constB126, bitIndex1)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14772, 14666])).
% 38.48/24.96 tff(14774,plain,
% 38.48/24.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14775,plain,
% 38.48/24.96 (((~nextState(constB126, constB127)) | v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1))) <=> (v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14776,plain,
% 38.48/24.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1))))),
% 38.48/24.96 inference(monotonicity,[status(thm)],[14775])).
% 38.48/24.96 tff(14777,plain,
% 38.48/24.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1)))),
% 38.48/24.96 inference(transitivity,[status(thm)],[14776, 14774])).
% 38.48/24.96 tff(14778,plain,
% 38.48/24.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1)))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14779,plain,
% 38.48/24.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex1))),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14778, 14777])).
% 38.48/24.96 tff(14780,plain,
% 38.48/24.96 (v84(constB126, bitIndex1) | v94(constB127) | (~v84(constB127, bitIndex1))),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14779, 228, 14724])).
% 38.48/24.96 tff(14781,plain,
% 38.48/24.96 (v84(constB126, bitIndex1) | (~v84(constB127, bitIndex1))),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14780, 14736])).
% 38.48/24.96 tff(14782,plain,
% 38.48/24.96 (~v84(constB127, bitIndex1)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14781, 14773])).
% 38.48/24.96 tff(14783,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | v124(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | v124(constB125, bitIndex0))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14784,plain,
% 38.48/24.96 ((v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | v124(constB125, bitIndex0)) <=> (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | v124(constB125, bitIndex0))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14785,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | v124(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | v124(constB125, bitIndex0)))),
% 38.48/24.96 inference(monotonicity,[status(thm)],[14784])).
% 38.48/24.96 tff(14786,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | v124(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | v124(constB125, bitIndex0))),
% 38.48/24.96 inference(transitivity,[status(thm)],[14785, 14783])).
% 38.48/24.96 tff(14787,plain,
% 38.48/24.96 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | v124(constB125, bitIndex0))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14788,plain,
% 38.48/24.96 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB125) | v172(constB125) | v118(constB125) | v116(constB125) | v115(constB125) | v113(constB125) | v124(constB125, bitIndex0)),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14787, 14786])).
% 38.48/24.96 tff(14789,plain,
% 38.48/24.96 (v124(constB125, bitIndex0)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14788, 1272, 14690, 14686, 14682, 14678, 14674, 14670])).
% 38.48/24.96 tff(14790,plain,
% 38.48/24.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14791,plain,
% 38.48/24.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14792,plain,
% 38.48/24.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14791, 14790])).
% 38.48/24.96 tff(14793,plain,
% 38.48/24.96 ((~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14792, 1289, 14617])).
% 38.48/24.96 tff(14794,plain,
% 38.48/24.96 (v121(constB125, bitIndex0)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14793, 14789])).
% 38.48/24.96 tff(14795,plain,
% 38.48/24.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14796,plain,
% 38.48/24.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14797,plain,
% 38.48/24.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0)),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14796, 14795])).
% 38.48/24.96 tff(14798,plain,
% 38.48/24.96 ((~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14797, 1304, 14632])).
% 38.48/24.96 tff(14799,plain,
% 38.48/24.96 (v123(constB126, bitIndex0)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14798, 14794])).
% 38.48/24.96 tff(14800,plain,
% 38.48/24.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14801,plain,
% 38.48/24.96 ((v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0))) <=> (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 38.48/24.96 inference(rewrite,[status(thm)],[])).
% 38.48/24.96 tff(14802,plain,
% 38.48/24.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126))))),
% 38.48/24.96 inference(monotonicity,[status(thm)],[14801])).
% 38.48/24.96 tff(14803,plain,
% 38.48/24.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 38.48/24.96 inference(transitivity,[status(thm)],[14802, 14800])).
% 38.48/24.96 tff(14804,plain,
% 38.48/24.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))),
% 38.48/24.96 inference(quant_inst,[status(thm)],[])).
% 38.48/24.96 tff(14805,plain,
% 38.48/24.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126))),
% 38.48/24.96 inference(modus_ponens,[status(thm)],[14804, 14803])).
% 38.48/24.96 tff(14806,plain,
% 38.48/24.96 (v84(constB126, bitIndex0) | (~v94(constB126))),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14805, 1319, 14799])).
% 38.48/24.96 tff(14807,plain,
% 38.48/24.96 (v84(constB126, bitIndex0)),
% 38.48/24.96 inference(unit_resolution,[status(thm)],[14806, 14666])).
% 38.48/24.96 tff(14808,plain,
% 38.48/24.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 38.57/24.96 inference(rewrite,[status(thm)],[])).
% 38.57/24.96 tff(14809,plain,
% 38.57/24.96 (((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0)) <=> ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 38.57/24.96 inference(rewrite,[status(thm)],[])).
% 38.57/24.96 tff(14810,plain,
% 38.57/24.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0)))),
% 38.57/24.96 inference(monotonicity,[status(thm)],[14809])).
% 38.57/24.96 tff(14811,plain,
% 38.57/24.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 38.57/24.96 inference(transitivity,[status(thm)],[14810, 14808])).
% 38.57/24.96 tff(14812,plain,
% 38.57/24.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))),
% 38.57/24.96 inference(quant_inst,[status(thm)],[])).
% 38.57/24.96 tff(14813,plain,
% 38.57/24.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0)),
% 38.57/24.96 inference(modus_ponens,[status(thm)],[14812, 14811])).
% 38.57/24.96 tff(14814,plain,
% 38.57/24.96 ((~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0)),
% 38.57/24.96 inference(unit_resolution,[status(thm)],[14813, 1337, 14724])).
% 38.57/24.96 tff(14815,plain,
% 38.57/24.96 ((~v84(constB126, bitIndex0)) | v84(constB127, bitIndex0)),
% 38.57/24.96 inference(unit_resolution,[status(thm)],[14814, 14736])).
% 38.57/24.96 tff(14816,plain,
% 38.57/24.96 (v84(constB127, bitIndex0)),
% 38.57/24.96 inference(unit_resolution,[status(thm)],[14815, 14807])).
% 38.57/24.96 tff(14817,plain,
% 38.57/24.96 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB127, bitIndex0)) | v84(constB127, bitIndex1) | v84(constB127, bitIndex2) | v145(constB127))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB127, bitIndex0)) | v84(constB127, bitIndex1) | v84(constB127, bitIndex2) | v145(constB127))),
% 38.57/24.96 inference(rewrite,[status(thm)],[])).
% 38.57/24.96 tff(14818,plain,
% 38.57/24.96 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB127, bitIndex0)) | v84(constB127, bitIndex1) | v84(constB127, bitIndex2) | v145(constB127))),
% 38.57/24.96 inference(quant_inst,[status(thm)],[])).
% 38.57/24.96 tff(14819,plain,
% 38.57/24.96 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB127, bitIndex0)) | v84(constB127, bitIndex1) | v84(constB127, bitIndex2) | v145(constB127)),
% 38.57/24.96 inference(modus_ponens,[status(thm)],[14818, 14817])).
% 38.57/24.96 tff(14820,plain,
% 38.57/24.96 (v145(constB127)),
% 38.57/24.96 inference(unit_resolution,[status(thm)],[14819, 1356, 14816, 14782, 14745])).
% 38.57/24.96 tff(14821,plain,
% 38.57/24.96 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB127) | (~v145(constB127)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB127) | (~v145(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14822,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB127) | (~v145(constB127)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14823,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB127) | (~v145(constB127))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 38.57/24.97 tff(14824,plain,
% 38.57/24.97 (v112(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14823, 1367, 14820])).
% 38.57/24.97 tff(14825,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB127) | (~v112(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14826,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB127) | (~v112(constB127)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14827,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB127) | (~v112(constB127))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 38.57/24.97 tff(14828,plain,
% 38.57/24.97 (v111(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14827, 292, 14824])).
% 38.57/24.97 tff(14829,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB127) | (~v111(constB127)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB127) | (~v111(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14830,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB127) | (~v111(constB127)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14831,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB127) | (~v111(constB127))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14830, 14829])).
% 38.57/24.97 tff(14832,plain,
% 38.57/24.97 (v110(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14831, 303, 14828])).
% 38.57/24.97 tff(14833,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB127) | (~v110(constB127)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB127) | (~v110(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14834,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB127) | (~v110(constB127)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14835,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB127) | (~v110(constB127))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14834, 14833])).
% 38.57/24.97 tff(14836,plain,
% 38.57/24.97 (v109(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14835, 314, 14832])).
% 38.57/24.97 tff(14837,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB127) | (~v109(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB127) | (~v109(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14838,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB127) | (~v109(constB127)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14839,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB127) | (~v109(constB127))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 38.57/24.97 tff(14840,plain,
% 38.57/24.97 (v108(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14839, 325, 14836])).
% 38.57/24.97 tff(14841,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB127) | (~v108(constB127)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB127) | (~v108(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14842,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB127) | (~v108(constB127)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14843,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB127) | (~v108(constB127))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 38.57/24.97 tff(14844,plain,
% 38.57/24.97 (v107(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14843, 336, 14840])).
% 38.57/24.97 tff(14845,assumption,(v26(constB127)), introduced(assumption)).
% 38.57/24.97 tff(14846,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14847,plain,
% 38.57/24.97 ($false),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14846, 120, 14845])).
% 38.57/24.97 tff(14848,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 38.57/24.97 tff(14849,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | (~v107(constB127)) | v106(constB127))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14850,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14851,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | (~v107(constB127)) | v106(constB127)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14850, 14849])).
% 38.57/24.97 tff(14852,plain,
% 38.57/24.97 ((~v107(constB127)) | v106(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14851, 350, 14848])).
% 38.57/24.97 tff(14853,plain,
% 38.57/24.97 (v106(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14852, 14844])).
% 38.57/24.97 tff(14854,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB127) | (~v106(constB127)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB127) | (~v106(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14855,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB127) | (~v106(constB127)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14856,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB127) | (~v106(constB127))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14855, 14854])).
% 38.57/24.97 tff(14857,plain,
% 38.57/24.97 (v102(constB127)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14856, 362, 14853])).
% 38.57/24.97 tff(14858,plain,
% 38.57/24.97 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14859,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 38.57/24.97 tff(14860,plain,
% 38.57/24.97 (nextState(constB127, constB128)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14859, 14858])).
% 38.57/24.97 tff(14861,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14862,plain,
% 38.57/24.97 (((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128)) <=> ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14863,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127))))),
% 38.57/24.97 inference(monotonicity,[status(thm)],[14862])).
% 38.57/24.97 tff(14864,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 38.57/24.97 inference(transitivity,[status(thm)],[14863, 14861])).
% 38.57/24.97 tff(14865,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14866,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14865, 14864])).
% 38.57/24.97 tff(14867,plain,
% 38.57/24.97 (v104(constB128) | (~v102(constB127))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14866, 379, 14860])).
% 38.57/24.97 tff(14868,plain,
% 38.57/24.97 (v104(constB128)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14867, 14857])).
% 38.57/24.97 tff(14869,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14870,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14871,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14870, 14869])).
% 38.57/24.97 tff(14872,plain,
% 38.57/24.97 (~v98(constB128)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14871, 397, 14860, 14721])).
% 38.57/24.97 tff(14873,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14874,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14875,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB127, constB128)) | v96(constB128) | v98(constB128)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14874, 14873])).
% 38.57/24.97 tff(14876,plain,
% 38.57/24.97 (v96(constB128) | v98(constB128)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14875, 411, 14860])).
% 38.57/24.97 tff(14877,plain,
% 38.57/24.97 (v96(constB128)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14876, 14872])).
% 38.57/24.97 tff(14878,plain,
% 38.57/24.97 (v1(constB128) <=> v1(constB128)),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14879,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 38.57/24.97 tff(14880,plain,
% 38.57/24.97 (v1(constB128)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14879, 14878])).
% 38.57/24.97 tff(14881,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14882,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14883,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14882, 14881])).
% 38.57/24.97 tff(14884,plain,
% 38.57/24.97 (v95(constB128) | (~v96(constB128))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14883, 429, 14860, 14880])).
% 38.57/24.97 tff(14885,plain,
% 38.57/24.97 (v95(constB128)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14884, 14877])).
% 38.57/24.97 tff(14886,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14887,plain,
% 38.57/24.97 (((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128)) <=> ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14888,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128))))),
% 38.57/24.97 inference(monotonicity,[status(thm)],[14887])).
% 38.57/24.97 tff(14889,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 38.57/24.97 inference(transitivity,[status(thm)],[14888, 14886])).
% 38.57/24.97 tff(14890,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14891,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 38.57/24.97 tff(14892,plain,
% 38.57/24.97 (v94(constB128) | (~v95(constB128)) | (~v104(constB128))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14891, 444, 14860])).
% 38.57/24.97 tff(14893,plain,
% 38.57/24.97 (v94(constB128) | (~v104(constB128))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14892, 14885])).
% 38.57/24.97 tff(14894,plain,
% 38.57/24.97 (v94(constB128)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14893, 14868])).
% 38.57/24.97 tff(14895,plain,
% 38.57/24.97 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB127)) | (~v124(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB127)) | (~v124(constB127, bitIndex2)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14896,plain,
% 38.57/24.97 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB127)) | (~v124(constB127, bitIndex2)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14897,plain,
% 38.57/24.97 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB127)) | (~v124(constB127, bitIndex2))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14896, 14895])).
% 38.57/24.97 tff(14898,plain,
% 38.57/24.97 (~v124(constB127, bitIndex2)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14897, 1451, 14820])).
% 38.57/24.97 tff(14899,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14900,plain,
% 38.57/24.97 ((v26(constB127) | v124(constB127, bitIndex2) | (~v121(constB127, bitIndex2))) <=> ((~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14901,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB127) | v124(constB127, bitIndex2) | (~v121(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2)))),
% 38.57/24.97 inference(monotonicity,[status(thm)],[14900])).
% 38.57/24.97 tff(14902,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB127) | v124(constB127, bitIndex2) | (~v121(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2))),
% 38.57/24.97 inference(transitivity,[status(thm)],[14901, 14899])).
% 38.57/24.97 tff(14903,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB127) | v124(constB127, bitIndex2) | (~v121(constB127, bitIndex2)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14904,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB127, bitIndex2)) | v26(constB127) | v124(constB127, bitIndex2)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14903, 14902])).
% 38.57/24.97 tff(14905,plain,
% 38.57/24.97 ((~v121(constB127, bitIndex2)) | v124(constB127, bitIndex2)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14904, 1147, 14848])).
% 38.57/24.97 tff(14906,plain,
% 38.57/24.97 (~v121(constB127, bitIndex2)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14905, 14898])).
% 38.57/24.97 tff(14907,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14908,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14909,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14908, 14907])).
% 38.57/24.97 tff(14910,plain,
% 38.57/24.97 (v121(constB127, bitIndex2) | (~v123(constB128, bitIndex2))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14909, 1165, 14860])).
% 38.57/24.97 tff(14911,plain,
% 38.57/24.97 (~v123(constB128, bitIndex2)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14910, 14906])).
% 38.57/24.97 tff(14912,plain,
% 38.57/24.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14913,plain,
% 38.57/24.97 (((~v84(constB128, bitIndex2)) | (~v94(constB128)) | v123(constB128, bitIndex2)) <=> ((~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14914,plain,
% 38.57/24.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | (~v94(constB128)) | v123(constB128, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128))))),
% 38.57/24.97 inference(monotonicity,[status(thm)],[14913])).
% 38.57/24.97 tff(14915,plain,
% 38.57/24.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | (~v94(constB128)) | v123(constB128, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128)))),
% 38.57/24.97 inference(transitivity,[status(thm)],[14914, 14912])).
% 38.57/24.97 tff(14916,plain,
% 38.57/24.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | (~v94(constB128)) | v123(constB128, bitIndex2))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14917,plain,
% 38.57/24.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | v123(constB128, bitIndex2) | (~v94(constB128))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14916, 14915])).
% 38.57/24.97 tff(14918,plain,
% 38.57/24.97 ((~v84(constB128, bitIndex2)) | (~v94(constB128))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14917, 1180, 14911])).
% 38.57/24.97 tff(14919,plain,
% 38.57/24.97 (~v84(constB128, bitIndex2)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14918, 14894])).
% 38.57/24.97 tff(14920,plain,
% 38.57/24.97 ((~v1(constB129)) <=> (~v1(constB129))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14921,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 38.57/24.97 tff(14922,plain,
% 38.57/24.97 (~v1(constB129)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14921, 14920])).
% 38.57/24.97 tff(14923,plain,
% 38.57/24.97 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14924,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 38.57/24.97 tff(14925,plain,
% 38.57/24.97 (nextState(constB128, constB129)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14924, 14923])).
% 38.57/24.97 tff(14926,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14927,plain,
% 38.57/24.97 (((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14928,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))))),
% 38.57/24.97 inference(monotonicity,[status(thm)],[14927])).
% 38.57/24.97 tff(14929,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 38.57/24.97 inference(transitivity,[status(thm)],[14928, 14926])).
% 38.57/24.97 tff(14930,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14931,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 38.57/24.97 tff(14932,plain,
% 38.57/24.97 (~v95(constB129)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14931, 175, 14925, 14922])).
% 38.57/24.97 tff(14933,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14934,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14935,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 38.57/24.97 tff(14936,plain,
% 38.57/24.97 (v95(constB129) | (~v94(constB129))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14935, 192, 14925])).
% 38.57/24.97 tff(14937,plain,
% 38.57/24.97 (~v94(constB129)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14936, 14932])).
% 38.57/24.97 tff(14938,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14939,plain,
% 38.57/24.97 (((~nextState(constB128, constB129)) | v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2))) <=> (v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2)))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14940,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2))))),
% 38.57/24.97 inference(monotonicity,[status(thm)],[14939])).
% 38.57/24.97 tff(14941,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2)))),
% 38.57/24.97 inference(transitivity,[status(thm)],[14940, 14938])).
% 38.57/24.97 tff(14942,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2)))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14943,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex2))),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14942, 14941])).
% 38.57/24.97 tff(14944,plain,
% 38.57/24.97 (v84(constB128, bitIndex2) | v94(constB129) | (~v84(constB129, bitIndex2))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14943, 207, 14925])).
% 38.57/24.97 tff(14945,plain,
% 38.57/24.97 (v84(constB128, bitIndex2) | (~v84(constB129, bitIndex2))),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14944, 14937])).
% 38.57/24.97 tff(14946,plain,
% 38.57/24.97 (~v84(constB129, bitIndex2)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14945, 14919])).
% 38.57/24.97 tff(14947,plain,
% 38.57/24.97 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB127)) | v124(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB127)) | v124(constB127, bitIndex1))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14948,plain,
% 38.57/24.97 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB127)) | v124(constB127, bitIndex1))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14949,plain,
% 38.57/24.97 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB127)) | v124(constB127, bitIndex1)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14948, 14947])).
% 38.57/24.97 tff(14950,plain,
% 38.57/24.97 (v124(constB127, bitIndex1)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14949, 1513, 14820])).
% 38.57/24.97 tff(14951,plain,
% 38.57/24.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB127) | (~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB127) | (~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14952,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB127) | (~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14953,plain,
% 38.57/24.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB127) | (~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 38.57/24.97 tff(14954,plain,
% 38.57/24.97 ((~v124(constB127, bitIndex1)) | v121(constB127, bitIndex1)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14953, 875, 14848])).
% 38.57/24.97 tff(14955,plain,
% 38.57/24.97 (v121(constB127, bitIndex1)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14954, 14950])).
% 38.57/24.97 tff(14956,plain,
% 38.57/24.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1))),
% 38.57/24.97 inference(rewrite,[status(thm)],[])).
% 38.57/24.97 tff(14957,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1))),
% 38.57/24.97 inference(quant_inst,[status(thm)],[])).
% 38.57/24.97 tff(14958,plain,
% 38.57/24.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1)),
% 38.57/24.97 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 38.57/24.97 tff(14959,plain,
% 38.57/24.97 ((~v121(constB127, bitIndex1)) | v123(constB128, bitIndex1)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14958, 890, 14860])).
% 38.57/24.97 tff(14960,plain,
% 38.57/24.97 (v123(constB128, bitIndex1)),
% 38.57/24.97 inference(unit_resolution,[status(thm)],[14959, 14955])).
% 38.57/24.97 tff(14961,plain,
% 38.57/24.97 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14962,plain,
% 38.57/24.98 ((v84(constB128, bitIndex1) | (~v94(constB128)) | (~v123(constB128, bitIndex1))) <=> (v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14963,plain,
% 38.57/24.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v94(constB128)) | (~v123(constB128, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128))))),
% 38.57/24.98 inference(monotonicity,[status(thm)],[14962])).
% 38.57/24.98 tff(14964,plain,
% 38.57/24.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v94(constB128)) | (~v123(constB128, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128)))),
% 38.57/24.98 inference(transitivity,[status(thm)],[14963, 14961])).
% 38.57/24.98 tff(14965,plain,
% 38.57/24.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~v94(constB128)) | (~v123(constB128, bitIndex1)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(14966,plain,
% 38.57/24.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~v123(constB128, bitIndex1)) | (~v94(constB128))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[14965, 14964])).
% 38.57/24.98 tff(14967,plain,
% 38.57/24.98 (v84(constB128, bitIndex1) | (~v94(constB128))),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14966, 905, 14960])).
% 38.57/24.98 tff(14968,plain,
% 38.57/24.98 (v84(constB128, bitIndex1)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14967, 14894])).
% 38.57/24.98 tff(14969,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14970,plain,
% 38.57/24.98 (((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1)) <=> ((~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14971,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1)))),
% 38.57/24.98 inference(monotonicity,[status(thm)],[14970])).
% 38.57/24.98 tff(14972,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1))),
% 38.57/24.98 inference(transitivity,[status(thm)],[14971, 14969])).
% 38.57/24.98 tff(14973,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(14974,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex1)),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 38.57/24.98 tff(14975,plain,
% 38.57/24.98 ((~v84(constB128, bitIndex1)) | v94(constB129) | v84(constB129, bitIndex1)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14974, 923, 14925])).
% 38.57/24.98 tff(14976,plain,
% 38.57/24.98 ((~v84(constB128, bitIndex1)) | v84(constB129, bitIndex1)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14975, 14937])).
% 38.57/24.98 tff(14977,plain,
% 38.57/24.98 (v84(constB129, bitIndex1)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14976, 14968])).
% 38.57/24.98 tff(14978,plain,
% 38.57/24.98 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB127)) | (~v124(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB127)) | (~v124(constB127, bitIndex0)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14979,plain,
% 38.57/24.98 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB127)) | (~v124(constB127, bitIndex0)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(14980,plain,
% 38.57/24.98 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB127)) | (~v124(constB127, bitIndex0))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[14979, 14978])).
% 38.57/24.98 tff(14981,plain,
% 38.57/24.98 (~v124(constB127, bitIndex0)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14980, 1554, 14820])).
% 38.57/24.98 tff(14982,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14983,plain,
% 38.57/24.98 ((v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0))) <=> ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14984,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0)))),
% 38.57/24.98 inference(monotonicity,[status(thm)],[14983])).
% 38.57/24.98 tff(14985,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 38.57/24.98 inference(transitivity,[status(thm)],[14984, 14982])).
% 38.57/24.98 tff(14986,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(14987,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0)),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 38.57/24.98 tff(14988,plain,
% 38.57/24.98 ((~v121(constB127, bitIndex0)) | v124(constB127, bitIndex0)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14987, 650, 14848])).
% 38.57/24.98 tff(14989,plain,
% 38.57/24.98 (~v121(constB127, bitIndex0)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14988, 14981])).
% 38.57/24.98 tff(14990,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14991,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(14992,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[14991, 14990])).
% 38.57/24.98 tff(14993,plain,
% 38.57/24.98 (v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0))),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14992, 668, 14860])).
% 38.57/24.98 tff(14994,plain,
% 38.57/24.98 (~v123(constB128, bitIndex0)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[14993, 14989])).
% 38.57/24.98 tff(14995,plain,
% 38.57/24.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14996,plain,
% 38.57/24.98 (((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0)) <=> ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(14997,plain,
% 38.57/24.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128))))),
% 38.57/24.98 inference(monotonicity,[status(thm)],[14996])).
% 38.57/24.98 tff(14998,plain,
% 38.57/24.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 38.57/24.98 inference(transitivity,[status(thm)],[14997, 14995])).
% 38.57/24.98 tff(14999,plain,
% 38.57/24.98 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15000,plain,
% 38.57/24.98 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[14999, 14998])).
% 38.57/24.98 tff(15001,plain,
% 38.57/24.98 ((~v84(constB128, bitIndex0)) | (~v94(constB128))),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15000, 683, 14994])).
% 38.57/24.98 tff(15002,plain,
% 38.57/24.98 (~v84(constB128, bitIndex0)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15001, 14894])).
% 38.57/24.98 tff(15003,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15004,plain,
% 38.57/24.98 (((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0))) <=> (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15005,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0))))),
% 38.57/24.98 inference(monotonicity,[status(thm)],[15004])).
% 38.57/24.98 tff(15006,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 38.57/24.98 inference(transitivity,[status(thm)],[15005, 15003])).
% 38.57/24.98 tff(15007,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15008,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15007, 15006])).
% 38.57/24.98 tff(15009,plain,
% 38.57/24.98 (v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0))),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15008, 249, 14925])).
% 38.57/24.98 tff(15010,plain,
% 38.57/24.98 (v84(constB128, bitIndex0) | (~v84(constB129, bitIndex0))),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15009, 14937])).
% 38.57/24.98 tff(15011,plain,
% 38.57/24.98 (~v84(constB129, bitIndex0)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15010, 15002])).
% 38.57/24.98 tff(15012,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15013,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15014,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129)),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 38.57/24.98 tff(15015,plain,
% 38.57/24.98 (v115(constB129)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15014, 1598, 15011, 14977, 14946])).
% 38.57/24.98 tff(15016,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB129) | (~v115(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15017,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB129) | (~v115(constB129)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15018,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB129) | (~v115(constB129))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15017, 15016])).
% 38.57/24.98 tff(15019,plain,
% 38.57/24.98 (v111(constB129)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15018, 1609, 15015])).
% 38.57/24.98 tff(15020,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB129) | (~v111(constB129)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB129) | (~v111(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15021,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB129) | (~v111(constB129)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15022,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB129) | (~v111(constB129))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 38.57/24.98 tff(15023,plain,
% 38.57/24.98 (v110(constB129)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15022, 303, 15019])).
% 38.57/24.98 tff(15024,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB129) | (~v110(constB129)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB129) | (~v110(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15025,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB129) | (~v110(constB129)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15026,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB129) | (~v110(constB129))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 38.57/24.98 tff(15027,plain,
% 38.57/24.98 (v109(constB129)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15026, 314, 15023])).
% 38.57/24.98 tff(15028,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB129) | (~v109(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB129) | (~v109(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15029,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB129) | (~v109(constB129)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15030,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB129) | (~v109(constB129))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 38.57/24.98 tff(15031,plain,
% 38.57/24.98 (v108(constB129)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15030, 325, 15027])).
% 38.57/24.98 tff(15032,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB129) | (~v108(constB129)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB129) | (~v108(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15033,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB129) | (~v108(constB129)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15034,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB129) | (~v108(constB129))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15033, 15032])).
% 38.57/24.98 tff(15035,plain,
% 38.57/24.98 (v107(constB129)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15034, 336, 15031])).
% 38.57/24.98 tff(15036,assumption,(v26(constB129)), introduced(assumption)).
% 38.57/24.98 tff(15037,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15038,plain,
% 38.57/24.98 ($false),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15037, 120, 15036])).
% 38.57/24.98 tff(15039,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 38.57/24.98 tff(15040,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | v106(constB129) | (~v107(constB129)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15041,plain,
% 38.57/24.98 ((v26(constB129) | (~v107(constB129)) | v106(constB129)) <=> (v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15042,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | v106(constB129) | (~v107(constB129))))),
% 38.57/24.98 inference(monotonicity,[status(thm)],[15041])).
% 38.57/24.98 tff(15043,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 38.57/24.98 inference(transitivity,[status(thm)],[15042, 15040])).
% 38.57/24.98 tff(15044,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15045,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15044, 15043])).
% 38.57/24.98 tff(15046,plain,
% 38.57/24.98 (v106(constB129) | (~v107(constB129))),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15045, 350, 15039])).
% 38.57/24.98 tff(15047,plain,
% 38.57/24.98 (v106(constB129)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15046, 15035])).
% 38.57/24.98 tff(15048,plain,
% 38.57/24.98 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB129) | (~v106(constB129)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB129) | (~v106(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15049,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB129) | (~v106(constB129)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15050,plain,
% 38.57/24.98 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB129) | (~v106(constB129))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15049, 15048])).
% 38.57/24.98 tff(15051,plain,
% 38.57/24.98 (v102(constB129)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15050, 362, 15047])).
% 38.57/24.98 tff(15052,plain,
% 38.57/24.98 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15053,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 38.57/24.98 tff(15054,plain,
% 38.57/24.98 (nextState(constB129, constB130)),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15053, 15052])).
% 38.57/24.98 tff(15055,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15056,plain,
% 38.57/24.98 (((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15057,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))))),
% 38.57/24.98 inference(monotonicity,[status(thm)],[15056])).
% 38.57/24.98 tff(15058,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 38.57/24.98 inference(transitivity,[status(thm)],[15057, 15055])).
% 38.57/24.98 tff(15059,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15060,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 38.57/24.98 tff(15061,plain,
% 38.57/24.98 (v104(constB130) | (~v102(constB129))),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15060, 379, 15054])).
% 38.57/24.98 tff(15062,plain,
% 38.57/24.98 (v104(constB130)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15061, 15051])).
% 38.57/24.98 tff(15063,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15064,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15065,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130))),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15064, 15063])).
% 38.57/24.98 tff(15066,plain,
% 38.57/24.98 (~v98(constB130)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15065, 397, 15054, 14922])).
% 38.57/24.98 tff(15067,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15068,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.98 tff(15069,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130)),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15068, 15067])).
% 38.57/24.98 tff(15070,plain,
% 38.57/24.98 (v96(constB130) | v98(constB130)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15069, 411, 15054])).
% 38.57/24.98 tff(15071,plain,
% 38.57/24.98 (v96(constB130)),
% 38.57/24.98 inference(unit_resolution,[status(thm)],[15070, 15066])).
% 38.57/24.98 tff(15072,plain,
% 38.57/24.98 (v1(constB130) <=> v1(constB130)),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15073,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 38.57/24.98 tff(15074,plain,
% 38.57/24.98 (v1(constB130)),
% 38.57/24.98 inference(modus_ponens,[status(thm)],[15073, 15072])).
% 38.57/24.98 tff(15075,plain,
% 38.57/24.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 38.57/24.98 inference(rewrite,[status(thm)],[])).
% 38.57/24.98 tff(15076,plain,
% 38.57/24.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 38.57/24.98 inference(quant_inst,[status(thm)],[])).
% 38.57/24.99 tff(15077,plain,
% 38.57/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130))),
% 38.57/24.99 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 38.57/24.99 tff(15078,plain,
% 38.57/24.99 (v95(constB130) | (~v96(constB130))),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15077, 429, 15054, 15074])).
% 38.57/24.99 tff(15079,plain,
% 38.57/24.99 (v95(constB130)),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15078, 15071])).
% 38.57/24.99 tff(15080,plain,
% 38.57/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15081,plain,
% 38.57/24.99 (((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130)) <=> ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15082,plain,
% 38.57/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130))))),
% 38.57/24.99 inference(monotonicity,[status(thm)],[15081])).
% 38.57/24.99 tff(15083,plain,
% 38.57/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 38.57/24.99 inference(transitivity,[status(thm)],[15082, 15080])).
% 38.57/24.99 tff(15084,plain,
% 38.57/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))),
% 38.57/24.99 inference(quant_inst,[status(thm)],[])).
% 38.57/24.99 tff(15085,plain,
% 38.57/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130))),
% 38.57/24.99 inference(modus_ponens,[status(thm)],[15084, 15083])).
% 38.57/24.99 tff(15086,plain,
% 38.57/24.99 (v94(constB130) | (~v95(constB130)) | (~v104(constB130))),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15085, 444, 15054])).
% 38.57/24.99 tff(15087,plain,
% 38.57/24.99 (v94(constB130) | (~v104(constB130))),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15086, 15079])).
% 38.57/24.99 tff(15088,plain,
% 38.57/24.99 (v94(constB130)),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15087, 15062])).
% 38.57/24.99 tff(15089,plain,
% 38.57/24.99 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB129)) | (~v124(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB129)) | (~v124(constB129, bitIndex2)))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15090,plain,
% 38.57/24.99 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB129)) | (~v124(constB129, bitIndex2)))),
% 38.57/24.99 inference(quant_inst,[status(thm)],[])).
% 38.57/24.99 tff(15091,plain,
% 38.57/24.99 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB129)) | (~v124(constB129, bitIndex2))),
% 38.57/24.99 inference(modus_ponens,[status(thm)],[15090, 15089])).
% 38.57/24.99 tff(15092,plain,
% 38.57/24.99 (~v124(constB129, bitIndex2)),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15091, 1688, 15015])).
% 38.57/24.99 tff(15093,plain,
% 38.57/24.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15094,plain,
% 38.57/24.99 ((v26(constB129) | v124(constB129, bitIndex2) | (~v121(constB129, bitIndex2))) <=> ((~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15095,plain,
% 38.57/24.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB129) | v124(constB129, bitIndex2) | (~v121(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2)))),
% 38.57/24.99 inference(monotonicity,[status(thm)],[15094])).
% 38.57/24.99 tff(15096,plain,
% 38.57/24.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB129) | v124(constB129, bitIndex2) | (~v121(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2))),
% 38.57/24.99 inference(transitivity,[status(thm)],[15095, 15093])).
% 38.57/24.99 tff(15097,plain,
% 38.57/24.99 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB129) | v124(constB129, bitIndex2) | (~v121(constB129, bitIndex2)))),
% 38.57/24.99 inference(quant_inst,[status(thm)],[])).
% 38.57/24.99 tff(15098,plain,
% 38.57/24.99 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB129, bitIndex2)) | v26(constB129) | v124(constB129, bitIndex2)),
% 38.57/24.99 inference(modus_ponens,[status(thm)],[15097, 15096])).
% 38.57/24.99 tff(15099,plain,
% 38.57/24.99 ((~v121(constB129, bitIndex2)) | v124(constB129, bitIndex2)),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15098, 1147, 15039])).
% 38.57/24.99 tff(15100,plain,
% 38.57/24.99 (~v121(constB129, bitIndex2)),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15099, 15092])).
% 38.57/24.99 tff(15101,plain,
% 38.57/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2)))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15102,plain,
% 38.57/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2)))),
% 38.57/24.99 inference(quant_inst,[status(thm)],[])).
% 38.57/24.99 tff(15103,plain,
% 38.57/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2))),
% 38.57/24.99 inference(modus_ponens,[status(thm)],[15102, 15101])).
% 38.57/24.99 tff(15104,plain,
% 38.57/24.99 (v121(constB129, bitIndex2) | (~v123(constB130, bitIndex2))),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15103, 1165, 15054])).
% 38.57/24.99 tff(15105,plain,
% 38.57/24.99 (~v123(constB130, bitIndex2)),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15104, 15100])).
% 38.57/24.99 tff(15106,plain,
% 38.57/24.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130)))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15107,plain,
% 38.57/24.99 (((~v84(constB130, bitIndex2)) | (~v94(constB130)) | v123(constB130, bitIndex2)) <=> ((~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130)))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15108,plain,
% 38.57/24.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | (~v94(constB130)) | v123(constB130, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130))))),
% 38.57/24.99 inference(monotonicity,[status(thm)],[15107])).
% 38.57/24.99 tff(15109,plain,
% 38.57/24.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | (~v94(constB130)) | v123(constB130, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130)))),
% 38.57/24.99 inference(transitivity,[status(thm)],[15108, 15106])).
% 38.57/24.99 tff(15110,plain,
% 38.57/24.99 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | (~v94(constB130)) | v123(constB130, bitIndex2))),
% 38.57/24.99 inference(quant_inst,[status(thm)],[])).
% 38.57/24.99 tff(15111,plain,
% 38.57/24.99 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | v123(constB130, bitIndex2) | (~v94(constB130))),
% 38.57/24.99 inference(modus_ponens,[status(thm)],[15110, 15109])).
% 38.57/24.99 tff(15112,plain,
% 38.57/24.99 ((~v84(constB130, bitIndex2)) | (~v94(constB130))),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15111, 1180, 15105])).
% 38.57/24.99 tff(15113,plain,
% 38.57/24.99 (~v84(constB130, bitIndex2)),
% 38.57/24.99 inference(unit_resolution,[status(thm)],[15112, 15088])).
% 38.57/24.99 tff(15114,plain,
% 38.57/24.99 ((~v1(constB131)) <=> (~v1(constB131))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15115,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 38.57/24.99 tff(15116,plain,
% 38.57/24.99 (~v1(constB131)),
% 38.57/24.99 inference(modus_ponens,[status(thm)],[15115, 15114])).
% 38.57/24.99 tff(15117,plain,
% 38.57/24.99 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15118,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 38.57/24.99 tff(15119,plain,
% 38.57/24.99 (nextState(constB130, constB131)),
% 38.57/24.99 inference(modus_ponens,[status(thm)],[15118, 15117])).
% 38.57/24.99 tff(15120,plain,
% 38.57/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15121,plain,
% 38.57/24.99 (((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 38.57/24.99 inference(rewrite,[status(thm)],[])).
% 38.57/24.99 tff(15122,plain,
% 38.57/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))))),
% 38.57/24.99 inference(monotonicity,[status(thm)],[15121])).
% 38.57/24.99 tff(15123,plain,
% 38.57/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 38.57/24.99 inference(transitivity,[status(thm)],[15122, 15120])).
% 38.57/24.99 tff(15124,plain,
% 38.57/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))),
% 38.60/24.99 inference(quant_inst,[status(thm)],[])).
% 38.60/24.99 tff(15125,plain,
% 38.60/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))),
% 38.60/24.99 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 38.60/24.99 tff(15126,plain,
% 38.60/24.99 (~v95(constB131)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15125, 175, 15119, 15116])).
% 38.60/24.99 tff(15127,plain,
% 38.60/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15128,plain,
% 38.60/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 38.60/24.99 inference(quant_inst,[status(thm)],[])).
% 38.60/24.99 tff(15129,plain,
% 38.60/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131))),
% 38.60/24.99 inference(modus_ponens,[status(thm)],[15128, 15127])).
% 38.60/24.99 tff(15130,plain,
% 38.60/24.99 (v95(constB131) | (~v94(constB131))),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15129, 192, 15119])).
% 38.60/24.99 tff(15131,plain,
% 38.60/24.99 (~v94(constB131)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15130, 15126])).
% 38.60/24.99 tff(15132,plain,
% 38.60/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2)))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15133,plain,
% 38.60/24.99 (((~nextState(constB130, constB131)) | v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2))) <=> (v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2)))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15134,plain,
% 38.60/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2))))),
% 38.60/24.99 inference(monotonicity,[status(thm)],[15133])).
% 38.60/24.99 tff(15135,plain,
% 38.60/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2)))),
% 38.60/24.99 inference(transitivity,[status(thm)],[15134, 15132])).
% 38.60/24.99 tff(15136,plain,
% 38.60/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2)))),
% 38.60/24.99 inference(quant_inst,[status(thm)],[])).
% 38.60/24.99 tff(15137,plain,
% 38.60/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex2))),
% 38.60/24.99 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 38.60/24.99 tff(15138,plain,
% 38.60/24.99 (v84(constB130, bitIndex2) | v94(constB131) | (~v84(constB131, bitIndex2))),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15137, 207, 15119])).
% 38.60/24.99 tff(15139,plain,
% 38.60/24.99 (v84(constB130, bitIndex2) | (~v84(constB131, bitIndex2))),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15138, 15131])).
% 38.60/24.99 tff(15140,plain,
% 38.60/24.99 (~v84(constB131, bitIndex2)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15139, 15113])).
% 38.60/24.99 tff(15141,plain,
% 38.60/24.99 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB129)) | v124(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB129)) | v124(constB129, bitIndex1))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15142,plain,
% 38.60/24.99 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB129)) | v124(constB129, bitIndex1))),
% 38.60/24.99 inference(quant_inst,[status(thm)],[])).
% 38.60/24.99 tff(15143,plain,
% 38.60/24.99 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB129)) | v124(constB129, bitIndex1)),
% 38.60/24.99 inference(modus_ponens,[status(thm)],[15142, 15141])).
% 38.60/24.99 tff(15144,plain,
% 38.60/24.99 (v124(constB129, bitIndex1)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15143, 1750, 15015])).
% 38.60/24.99 tff(15145,plain,
% 38.60/24.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB129) | (~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB129) | (~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15146,plain,
% 38.60/24.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB129) | (~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1))),
% 38.60/24.99 inference(quant_inst,[status(thm)],[])).
% 38.60/24.99 tff(15147,plain,
% 38.60/24.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB129) | (~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1)),
% 38.60/24.99 inference(modus_ponens,[status(thm)],[15146, 15145])).
% 38.60/24.99 tff(15148,plain,
% 38.60/24.99 ((~v124(constB129, bitIndex1)) | v121(constB129, bitIndex1)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15147, 875, 15039])).
% 38.60/24.99 tff(15149,plain,
% 38.60/24.99 (v121(constB129, bitIndex1)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15148, 15144])).
% 38.60/24.99 tff(15150,plain,
% 38.60/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15151,plain,
% 38.60/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1))),
% 38.60/24.99 inference(quant_inst,[status(thm)],[])).
% 38.60/24.99 tff(15152,plain,
% 38.60/24.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1)),
% 38.60/24.99 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 38.60/24.99 tff(15153,plain,
% 38.60/24.99 ((~v121(constB129, bitIndex1)) | v123(constB130, bitIndex1)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15152, 890, 15054])).
% 38.60/24.99 tff(15154,plain,
% 38.60/24.99 (v123(constB130, bitIndex1)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15153, 15149])).
% 38.60/24.99 tff(15155,plain,
% 38.60/24.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130)))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15156,plain,
% 38.60/24.99 ((v84(constB130, bitIndex1) | (~v94(constB130)) | (~v123(constB130, bitIndex1))) <=> (v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130)))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15157,plain,
% 38.60/24.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v94(constB130)) | (~v123(constB130, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130))))),
% 38.60/24.99 inference(monotonicity,[status(thm)],[15156])).
% 38.60/24.99 tff(15158,plain,
% 38.60/24.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v94(constB130)) | (~v123(constB130, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130)))),
% 38.60/24.99 inference(transitivity,[status(thm)],[15157, 15155])).
% 38.60/24.99 tff(15159,plain,
% 38.60/24.99 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~v94(constB130)) | (~v123(constB130, bitIndex1)))),
% 38.60/24.99 inference(quant_inst,[status(thm)],[])).
% 38.60/24.99 tff(15160,plain,
% 38.60/24.99 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~v123(constB130, bitIndex1)) | (~v94(constB130))),
% 38.60/24.99 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 38.60/24.99 tff(15161,plain,
% 38.60/24.99 (v84(constB130, bitIndex1) | (~v94(constB130))),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15160, 905, 15154])).
% 38.60/24.99 tff(15162,plain,
% 38.60/24.99 (v84(constB130, bitIndex1)),
% 38.60/24.99 inference(unit_resolution,[status(thm)],[15161, 15088])).
% 38.60/24.99 tff(15163,plain,
% 38.60/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15164,plain,
% 38.60/24.99 (((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1)) <=> ((~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1))),
% 38.60/24.99 inference(rewrite,[status(thm)],[])).
% 38.60/24.99 tff(15165,plain,
% 38.60/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1)))),
% 38.60/24.99 inference(monotonicity,[status(thm)],[15164])).
% 38.60/24.99 tff(15166,plain,
% 38.60/24.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1))),
% 38.60/25.00 inference(transitivity,[status(thm)],[15165, 15163])).
% 38.60/25.00 tff(15167,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15168,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex1)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15167, 15166])).
% 38.60/25.00 tff(15169,plain,
% 38.60/25.00 ((~v84(constB130, bitIndex1)) | v94(constB131) | v84(constB131, bitIndex1)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15168, 923, 15119])).
% 38.60/25.00 tff(15170,plain,
% 38.60/25.00 ((~v84(constB130, bitIndex1)) | v84(constB131, bitIndex1)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15169, 15131])).
% 38.60/25.00 tff(15171,plain,
% 38.60/25.00 (v84(constB131, bitIndex1)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15170, 15162])).
% 38.60/25.00 tff(15172,plain,
% 38.60/25.00 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB129)) | v124(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB129)) | v124(constB129, bitIndex0))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15173,plain,
% 38.60/25.00 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB129)) | v124(constB129, bitIndex0))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15174,plain,
% 38.60/25.00 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB129)) | v124(constB129, bitIndex0)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15173, 15172])).
% 38.60/25.00 tff(15175,plain,
% 38.60/25.00 (v124(constB129, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15174, 1791, 15015])).
% 38.60/25.00 tff(15176,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15177,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15178,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 38.60/25.00 tff(15179,plain,
% 38.60/25.00 ((~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15178, 1289, 15039])).
% 38.60/25.00 tff(15180,plain,
% 38.60/25.00 (v121(constB129, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15179, 15175])).
% 38.60/25.00 tff(15181,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15182,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15183,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 38.60/25.00 tff(15184,plain,
% 38.60/25.00 ((~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15183, 1304, 15054])).
% 38.60/25.00 tff(15185,plain,
% 38.60/25.00 (v123(constB130, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15184, 15180])).
% 38.60/25.00 tff(15186,plain,
% 38.60/25.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15187,plain,
% 38.60/25.00 ((v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0))) <=> (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15188,plain,
% 38.60/25.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130))))),
% 38.60/25.00 inference(monotonicity,[status(thm)],[15187])).
% 38.60/25.00 tff(15189,plain,
% 38.60/25.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 38.60/25.00 inference(transitivity,[status(thm)],[15188, 15186])).
% 38.60/25.00 tff(15190,plain,
% 38.60/25.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15191,plain,
% 38.60/25.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 38.60/25.00 tff(15192,plain,
% 38.60/25.00 (v84(constB130, bitIndex0) | (~v94(constB130))),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15191, 1319, 15185])).
% 38.60/25.00 tff(15193,plain,
% 38.60/25.00 (v84(constB130, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15192, 15088])).
% 38.60/25.00 tff(15194,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15195,plain,
% 38.60/25.00 (((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0)) <=> ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15196,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0)))),
% 38.60/25.00 inference(monotonicity,[status(thm)],[15195])).
% 38.60/25.00 tff(15197,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 38.60/25.00 inference(transitivity,[status(thm)],[15196, 15194])).
% 38.60/25.00 tff(15198,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15199,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15198, 15197])).
% 38.60/25.00 tff(15200,plain,
% 38.60/25.00 ((~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15199, 1337, 15119])).
% 38.60/25.00 tff(15201,plain,
% 38.60/25.00 ((~v84(constB130, bitIndex0)) | v84(constB131, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15200, 15131])).
% 38.60/25.00 tff(15202,plain,
% 38.60/25.00 (v84(constB131, bitIndex0)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15201, 15193])).
% 38.60/25.00 tff(15203,plain,
% 38.60/25.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15204,plain,
% 38.60/25.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15205,plain,
% 38.60/25.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15204, 15203])).
% 38.60/25.00 tff(15206,plain,
% 38.60/25.00 (v116(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15205, 1832, 15202, 15171, 15140])).
% 38.60/25.00 tff(15207,plain,
% 38.60/25.00 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB131)) | v124(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB131)) | v124(constB131, bitIndex2))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15208,plain,
% 38.60/25.00 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB131)) | v124(constB131, bitIndex2))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15209,plain,
% 38.60/25.00 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB131)) | v124(constB131, bitIndex2)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15208, 15207])).
% 38.60/25.00 tff(15210,plain,
% 38.60/25.00 (v124(constB131, bitIndex2)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15209, 1918, 15206])).
% 38.60/25.00 tff(15211,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15212,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15213,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15212, 15211])).
% 38.60/25.00 tff(15214,plain,
% 38.60/25.00 (v26(constB131) | v121(constB131, bitIndex2)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15213, 477, 15210])).
% 38.60/25.00 tff(15215,plain,
% 38.60/25.00 (v121(constB131, bitIndex2)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15214, 135])).
% 38.60/25.00 tff(15216,plain,
% 38.60/25.00 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15217,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 38.60/25.00 tff(15218,plain,
% 38.60/25.00 (nextState(constB131, constB132)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15217, 15216])).
% 38.60/25.00 tff(15219,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15220,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15221,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15220, 15219])).
% 38.60/25.00 tff(15222,plain,
% 38.60/25.00 ((~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15221, 492, 15218])).
% 38.60/25.00 tff(15223,plain,
% 38.60/25.00 (v123(constB132, bitIndex2)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15222, 15215])).
% 38.60/25.00 tff(15224,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB131) | (~v116(constB131)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15225,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB131) | (~v116(constB131)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15226,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB131) | (~v116(constB131))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15225, 15224])).
% 38.60/25.00 tff(15227,plain,
% 38.60/25.00 (v110(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15226, 1843, 15206])).
% 38.60/25.00 tff(15228,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB131) | (~v110(constB131)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB131) | (~v110(constB131)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15229,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB131) | (~v110(constB131)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15230,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB131) | (~v110(constB131))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15229, 15228])).
% 38.60/25.00 tff(15231,plain,
% 38.60/25.00 (v109(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15230, 314, 15227])).
% 38.60/25.00 tff(15232,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB131) | (~v109(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB131) | (~v109(constB131)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15233,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB131) | (~v109(constB131)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15234,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB131) | (~v109(constB131))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15233, 15232])).
% 38.60/25.00 tff(15235,plain,
% 38.60/25.00 (v108(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15234, 325, 15231])).
% 38.60/25.00 tff(15236,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB131) | (~v108(constB131)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB131) | (~v108(constB131)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15237,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB131) | (~v108(constB131)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15238,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB131) | (~v108(constB131))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15237, 15236])).
% 38.60/25.00 tff(15239,plain,
% 38.60/25.00 (v107(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15238, 336, 15235])).
% 38.60/25.00 tff(15240,assumption,(~v102(constB131)), introduced(assumption)).
% 38.60/25.00 tff(15241,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB131) | (~v106(constB131)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB131) | (~v106(constB131)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15242,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB131) | (~v106(constB131)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15243,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB131) | (~v106(constB131))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15242, 15241])).
% 38.60/25.00 tff(15244,plain,
% 38.60/25.00 (~v106(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15243, 362, 15240])).
% 38.60/25.00 tff(15245,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB131) | (~v26(constB131)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB131) | (~v26(constB131)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15246,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB131) | (~v26(constB131)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15247,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB131) | (~v26(constB131))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15246, 15245])).
% 38.60/25.00 tff(15248,plain,
% 38.60/25.00 (~v26(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15247, 753, 15240])).
% 38.60/25.00 tff(15249,assumption,(v107(constB131)), introduced(assumption)).
% 38.60/25.00 tff(15250,plain,
% 38.60/25.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15251,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15252,plain,
% 38.60/25.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15251, 15250])).
% 38.60/25.00 tff(15253,plain,
% 38.60/25.00 (v26(constB131) | v106(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15252, 350, 15249])).
% 38.60/25.00 tff(15254,plain,
% 38.60/25.00 ($false),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15253, 15248, 15244])).
% 38.60/25.00 tff(15255,plain,(v102(constB131) | (~v107(constB131))), inference(lemma,lemma(discharge,[]))).
% 38.60/25.00 tff(15256,plain,
% 38.60/25.00 (v102(constB131)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15255, 15239])).
% 38.60/25.00 tff(15257,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15258,plain,
% 38.60/25.00 (((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15259,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))))),
% 38.60/25.00 inference(monotonicity,[status(thm)],[15258])).
% 38.60/25.00 tff(15260,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 38.60/25.00 inference(transitivity,[status(thm)],[15259, 15257])).
% 38.60/25.00 tff(15261,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15262,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15261, 15260])).
% 38.60/25.00 tff(15263,plain,
% 38.60/25.00 (v104(constB132) | (~v102(constB131))),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15262, 379, 15218])).
% 38.60/25.00 tff(15264,plain,
% 38.60/25.00 (v104(constB132)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15263, 15256])).
% 38.60/25.00 tff(15265,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15266,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15267,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15266, 15265])).
% 38.60/25.00 tff(15268,plain,
% 38.60/25.00 (~v98(constB132)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15267, 397, 15218, 15116])).
% 38.60/25.00 tff(15269,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15270,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15271,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15270, 15269])).
% 38.60/25.00 tff(15272,plain,
% 38.60/25.00 (v96(constB132) | v98(constB132)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15271, 411, 15218])).
% 38.60/25.00 tff(15273,plain,
% 38.60/25.00 (v96(constB132)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15272, 15268])).
% 38.60/25.00 tff(15274,plain,
% 38.60/25.00 (v1(constB132) <=> v1(constB132)),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15275,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 38.60/25.00 tff(15276,plain,
% 38.60/25.00 (v1(constB132)),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15275, 15274])).
% 38.60/25.00 tff(15277,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15278,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15279,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15278, 15277])).
% 38.60/25.00 tff(15280,plain,
% 38.60/25.00 (v95(constB132) | (~v96(constB132))),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15279, 429, 15218, 15276])).
% 38.60/25.00 tff(15281,plain,
% 38.60/25.00 (v95(constB132)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15280, 15273])).
% 38.60/25.00 tff(15282,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15283,plain,
% 38.60/25.00 (((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132)) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15284,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132))))),
% 38.60/25.00 inference(monotonicity,[status(thm)],[15283])).
% 38.60/25.00 tff(15285,plain,
% 38.60/25.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 38.60/25.00 inference(transitivity,[status(thm)],[15284, 15282])).
% 38.60/25.00 tff(15286,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15287,plain,
% 38.60/25.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15286, 15285])).
% 38.60/25.00 tff(15288,plain,
% 38.60/25.00 (v94(constB132) | (~v95(constB132)) | (~v104(constB132))),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15287, 444, 15218])).
% 38.60/25.00 tff(15289,plain,
% 38.60/25.00 (v94(constB132) | (~v104(constB132))),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15288, 15281])).
% 38.60/25.00 tff(15290,plain,
% 38.60/25.00 (v94(constB132)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15289, 15264])).
% 38.60/25.00 tff(15291,plain,
% 38.60/25.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15292,plain,
% 38.60/25.00 ((v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2))) <=> (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 38.60/25.00 inference(rewrite,[status(thm)],[])).
% 38.60/25.00 tff(15293,plain,
% 38.60/25.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132))))),
% 38.60/25.00 inference(monotonicity,[status(thm)],[15292])).
% 38.60/25.00 tff(15294,plain,
% 38.60/25.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 38.60/25.00 inference(transitivity,[status(thm)],[15293, 15291])).
% 38.60/25.00 tff(15295,plain,
% 38.60/25.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))),
% 38.60/25.00 inference(quant_inst,[status(thm)],[])).
% 38.60/25.00 tff(15296,plain,
% 38.60/25.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132))),
% 38.60/25.00 inference(modus_ponens,[status(thm)],[15295, 15294])).
% 38.60/25.00 tff(15297,plain,
% 38.60/25.00 (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2))),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15296, 507, 15290])).
% 38.60/25.00 tff(15298,plain,
% 38.60/25.00 (v84(constB132, bitIndex2)),
% 38.60/25.00 inference(unit_resolution,[status(thm)],[15297, 15223])).
% 38.60/25.00 tff(15299,plain,
% 38.60/25.00 ((~v1(constB133)) <=> (~v1(constB133))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15300,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 38.60/25.01 tff(15301,plain,
% 38.60/25.01 (~v1(constB133)),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 38.60/25.01 tff(15302,plain,
% 38.60/25.01 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15303,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 38.60/25.01 tff(15304,plain,
% 38.60/25.01 (nextState(constB132, constB133)),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15303, 15302])).
% 38.60/25.01 tff(15305,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15306,plain,
% 38.60/25.01 (((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15307,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))))),
% 38.60/25.01 inference(monotonicity,[status(thm)],[15306])).
% 38.60/25.01 tff(15308,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 38.60/25.01 inference(transitivity,[status(thm)],[15307, 15305])).
% 38.60/25.01 tff(15309,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15310,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15309, 15308])).
% 38.60/25.01 tff(15311,plain,
% 38.60/25.01 (~v95(constB133)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15310, 175, 15304, 15301])).
% 38.60/25.01 tff(15312,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15313,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15314,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15313, 15312])).
% 38.60/25.01 tff(15315,plain,
% 38.60/25.01 (v95(constB133) | (~v94(constB133))),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15314, 192, 15304])).
% 38.60/25.01 tff(15316,plain,
% 38.60/25.01 (~v94(constB133)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15315, 15311])).
% 38.60/25.01 tff(15317,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15318,plain,
% 38.60/25.01 (((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2)) <=> ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15319,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2)))),
% 38.60/25.01 inference(monotonicity,[status(thm)],[15318])).
% 38.60/25.01 tff(15320,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 38.60/25.01 inference(transitivity,[status(thm)],[15319, 15317])).
% 38.60/25.01 tff(15321,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15322,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2)),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15321, 15320])).
% 38.60/25.01 tff(15323,plain,
% 38.60/25.01 ((~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15322, 543, 15304])).
% 38.60/25.01 tff(15324,plain,
% 38.60/25.01 ((~v84(constB132, bitIndex2)) | v84(constB133, bitIndex2)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15323, 15316])).
% 38.60/25.01 tff(15325,plain,
% 38.60/25.01 (v84(constB133, bitIndex2)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15324, 15298])).
% 38.60/25.01 tff(15326,plain,
% 38.60/25.01 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB131)) | (~v124(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB131)) | (~v124(constB131, bitIndex1)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15327,plain,
% 38.60/25.01 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB131)) | (~v124(constB131, bitIndex1)))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15328,plain,
% 38.60/25.01 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB131)) | (~v124(constB131, bitIndex1))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15327, 15326])).
% 38.60/25.01 tff(15329,plain,
% 38.60/25.01 (~v124(constB131, bitIndex1)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15328, 1977, 15206])).
% 38.60/25.01 tff(15330,plain,
% 38.60/25.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15331,plain,
% 38.60/25.01 ((v26(constB131) | v124(constB131, bitIndex1) | (~v121(constB131, bitIndex1))) <=> ((~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15332,plain,
% 38.60/25.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB131) | v124(constB131, bitIndex1) | (~v121(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1)))),
% 38.60/25.01 inference(monotonicity,[status(thm)],[15331])).
% 38.60/25.01 tff(15333,plain,
% 38.60/25.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB131) | v124(constB131, bitIndex1) | (~v121(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1))),
% 38.60/25.01 inference(transitivity,[status(thm)],[15332, 15330])).
% 38.60/25.01 tff(15334,plain,
% 38.60/25.01 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB131) | v124(constB131, bitIndex1) | (~v121(constB131, bitIndex1)))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15335,plain,
% 38.60/25.01 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB131, bitIndex1)) | v26(constB131) | v124(constB131, bitIndex1)),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 38.60/25.01 tff(15336,plain,
% 38.60/25.01 ((~v121(constB131, bitIndex1)) | v26(constB131)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15335, 576, 15329])).
% 38.60/25.01 tff(15337,plain,
% 38.60/25.01 (~v121(constB131, bitIndex1)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15336, 135])).
% 38.60/25.01 tff(15338,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15339,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1)))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15340,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15339, 15338])).
% 38.60/25.01 tff(15341,plain,
% 38.60/25.01 (v121(constB131, bitIndex1) | (~v123(constB132, bitIndex1))),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15340, 594, 15218])).
% 38.60/25.01 tff(15342,plain,
% 38.60/25.01 (~v123(constB132, bitIndex1)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15341, 15337])).
% 38.60/25.01 tff(15343,plain,
% 38.60/25.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15344,plain,
% 38.60/25.01 (((~v84(constB132, bitIndex1)) | (~v94(constB132)) | v123(constB132, bitIndex1)) <=> ((~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15345,plain,
% 38.60/25.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~v94(constB132)) | v123(constB132, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132))))),
% 38.60/25.01 inference(monotonicity,[status(thm)],[15344])).
% 38.60/25.01 tff(15346,plain,
% 38.60/25.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~v94(constB132)) | v123(constB132, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132)))),
% 38.60/25.01 inference(transitivity,[status(thm)],[15345, 15343])).
% 38.60/25.01 tff(15347,plain,
% 38.60/25.01 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~v94(constB132)) | v123(constB132, bitIndex1))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15348,plain,
% 38.60/25.01 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1) | (~v94(constB132))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 38.60/25.01 tff(15349,plain,
% 38.60/25.01 ((~v84(constB132, bitIndex1)) | v123(constB132, bitIndex1)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15348, 609, 15290])).
% 38.60/25.01 tff(15350,plain,
% 38.60/25.01 (~v84(constB132, bitIndex1)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15349, 15342])).
% 38.60/25.01 tff(15351,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15352,plain,
% 38.60/25.01 (((~nextState(constB132, constB133)) | v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1))) <=> (v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15353,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1))))),
% 38.60/25.01 inference(monotonicity,[status(thm)],[15352])).
% 38.60/25.01 tff(15354,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1)))),
% 38.60/25.01 inference(transitivity,[status(thm)],[15353, 15351])).
% 38.60/25.01 tff(15355,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1)))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15356,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex1))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15355, 15354])).
% 38.60/25.01 tff(15357,plain,
% 38.60/25.01 (v84(constB132, bitIndex1) | v94(constB133) | (~v84(constB133, bitIndex1))),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15356, 228, 15304])).
% 38.60/25.01 tff(15358,plain,
% 38.60/25.01 (v84(constB132, bitIndex1) | (~v84(constB133, bitIndex1))),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15357, 15316])).
% 38.60/25.01 tff(15359,plain,
% 38.60/25.01 (~v84(constB133, bitIndex1)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15358, 15350])).
% 38.60/25.01 tff(15360,plain,
% 38.60/25.01 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB131)) | (~v124(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB131)) | (~v124(constB131, bitIndex0)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15361,plain,
% 38.60/25.01 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB131)) | (~v124(constB131, bitIndex0)))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15362,plain,
% 38.60/25.01 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB131)) | (~v124(constB131, bitIndex0))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15361, 15360])).
% 38.60/25.01 tff(15363,plain,
% 38.60/25.01 (~v124(constB131, bitIndex0)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15362, 2021, 15206])).
% 38.60/25.01 tff(15364,plain,
% 38.60/25.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15365,plain,
% 38.60/25.01 ((v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0))) <=> ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15366,plain,
% 38.60/25.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0)))),
% 38.60/25.01 inference(monotonicity,[status(thm)],[15365])).
% 38.60/25.01 tff(15367,plain,
% 38.60/25.01 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 38.60/25.01 inference(transitivity,[status(thm)],[15366, 15364])).
% 38.60/25.01 tff(15368,plain,
% 38.60/25.01 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15369,plain,
% 38.60/25.01 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0)),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 38.60/25.01 tff(15370,plain,
% 38.60/25.01 ((~v121(constB131, bitIndex0)) | v26(constB131)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15369, 650, 15363])).
% 38.60/25.01 tff(15371,plain,
% 38.60/25.01 (~v121(constB131, bitIndex0)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15370, 135])).
% 38.60/25.01 tff(15372,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15373,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15374,plain,
% 38.60/25.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15373, 15372])).
% 38.60/25.01 tff(15375,plain,
% 38.60/25.01 (v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0))),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15374, 668, 15218])).
% 38.60/25.01 tff(15376,plain,
% 38.60/25.01 (~v123(constB132, bitIndex0)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15375, 15371])).
% 38.60/25.01 tff(15377,plain,
% 38.60/25.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15378,plain,
% 38.60/25.01 (((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0)) <=> ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15379,plain,
% 38.60/25.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132))))),
% 38.60/25.01 inference(monotonicity,[status(thm)],[15378])).
% 38.60/25.01 tff(15380,plain,
% 38.60/25.01 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 38.60/25.01 inference(transitivity,[status(thm)],[15379, 15377])).
% 38.60/25.01 tff(15381,plain,
% 38.60/25.01 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))),
% 38.60/25.01 inference(quant_inst,[status(thm)],[])).
% 38.60/25.01 tff(15382,plain,
% 38.60/25.01 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132))),
% 38.60/25.01 inference(modus_ponens,[status(thm)],[15381, 15380])).
% 38.60/25.01 tff(15383,plain,
% 38.60/25.01 ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15382, 683, 15290])).
% 38.60/25.01 tff(15384,plain,
% 38.60/25.01 (~v84(constB132, bitIndex0)),
% 38.60/25.01 inference(unit_resolution,[status(thm)],[15383, 15376])).
% 38.60/25.01 tff(15385,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15386,plain,
% 38.60/25.01 (((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0))) <=> (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 38.60/25.01 inference(rewrite,[status(thm)],[])).
% 38.60/25.01 tff(15387,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0))))),
% 38.60/25.01 inference(monotonicity,[status(thm)],[15386])).
% 38.60/25.01 tff(15388,plain,
% 38.60/25.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 38.60/25.02 inference(transitivity,[status(thm)],[15387, 15385])).
% 38.60/25.02 tff(15389,plain,
% 38.60/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15390,plain,
% 38.60/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15389, 15388])).
% 38.60/25.02 tff(15391,plain,
% 38.60/25.02 (v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0))),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15390, 249, 15304])).
% 38.60/25.02 tff(15392,plain,
% 38.60/25.02 (v84(constB132, bitIndex0) | (~v84(constB133, bitIndex0))),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15391, 15316])).
% 38.60/25.02 tff(15393,plain,
% 38.60/25.02 (~v84(constB133, bitIndex0)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15392, 15384])).
% 38.60/25.02 tff(15394,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15395,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15396,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15395, 15394])).
% 38.60/25.02 tff(15397,plain,
% 38.60/25.02 (v172(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15396, 710, 15393, 15359, 15325])).
% 38.60/25.02 tff(15398,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB133) | (~v172(constB133)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB133) | (~v172(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15399,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB133) | (~v172(constB133)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15400,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB133) | (~v172(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 38.60/25.02 tff(15401,plain,
% 38.60/25.02 (v109(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15400, 764, 15397])).
% 38.60/25.02 tff(15402,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB133) | (~v109(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB133) | (~v109(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15403,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB133) | (~v109(constB133)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15404,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB133) | (~v109(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 38.60/25.02 tff(15405,plain,
% 38.60/25.02 (v108(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15404, 325, 15401])).
% 38.60/25.02 tff(15406,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB133) | (~v108(constB133)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB133) | (~v108(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15407,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB133) | (~v108(constB133)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15408,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB133) | (~v108(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15407, 15406])).
% 38.60/25.02 tff(15409,plain,
% 38.60/25.02 (v107(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15408, 336, 15405])).
% 38.60/25.02 tff(15410,assumption,(v18(constB134)), introduced(assumption)).
% 38.60/25.02 tff(15411,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB134))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15412,plain,
% 38.60/25.02 ($false),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15411, 8, 15410])).
% 38.60/25.02 tff(15413,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 38.60/25.02 tff(15414,plain,
% 38.60/25.02 (v1(constB134) <=> v1(constB134)),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15415,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 38.60/25.02 tff(15416,plain,
% 38.60/25.02 (v1(constB134)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15415, 15414])).
% 38.60/25.02 tff(15417,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15418,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15419,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15418, 15417])).
% 38.60/25.02 tff(15420,plain,
% 38.60/25.02 (v22(constB134)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15419, 21, 15416])).
% 38.60/25.02 tff(15421,plain,
% 38.60/25.02 (((~![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))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15422,plain,
% 38.60/25.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15423,plain,
% 38.60/25.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15422, 15421])).
% 38.60/25.02 tff(15424,plain,
% 38.60/25.02 ((~v19(constB134)) | v18(constB134)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15423, 35, 15420])).
% 38.60/25.02 tff(15425,plain,
% 38.60/25.02 (~v19(constB134)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15424, 15413])).
% 38.60/25.02 tff(15426,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15427,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15428,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 38.60/25.02 tff(15429,plain,
% 38.60/25.02 (v13(constB134)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15428, 50, 15425])).
% 38.60/25.02 tff(15430,plain,
% 38.60/25.02 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15431,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 38.60/25.02 tff(15432,plain,
% 38.60/25.02 (nextState(constB133, constB134)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 38.60/25.02 tff(15433,plain,
% 38.60/25.02 (((~![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))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15434,plain,
% 38.60/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15435,plain,
% 38.60/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 38.60/25.02 tff(15436,plain,
% 38.60/25.02 ((~v13(constB134)) | v9(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15435, 67, 15432])).
% 38.60/25.02 tff(15437,plain,
% 38.60/25.02 (v9(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15436, 15429])).
% 38.60/25.02 tff(15438,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB133) | (~v9(constB133)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB133) | (~v9(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15439,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB133) | (~v9(constB133)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15440,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB133) | (~v9(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15439, 15438])).
% 38.60/25.02 tff(15441,plain,
% 38.60/25.02 (v80(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15440, 2805, 15437])).
% 38.60/25.02 tff(15442,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB133) | v78(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB133) | v78(constB133))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15443,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB133) | v78(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15444,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB133) | v78(constB133)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15443, 15442])).
% 38.60/25.02 tff(15445,plain,
% 38.60/25.02 (v78(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15444, 2819, 15301])).
% 38.60/25.02 tff(15446,plain,
% 38.60/25.02 (((~![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))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15447,plain,
% 38.60/25.02 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB133)) | (~v80(constB133)) | v76(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15448,plain,
% 38.60/25.02 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB133)) | (~v80(constB133)) | v76(constB133)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15447, 15446])).
% 38.60/25.02 tff(15449,plain,
% 38.60/25.02 ((~v80(constB133)) | v76(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15448, 2833, 15445])).
% 38.60/25.02 tff(15450,plain,
% 38.60/25.02 (v76(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15449, 15441])).
% 38.60/25.02 tff(15451,assumption,(v71(constB133)), introduced(assumption)).
% 38.60/25.02 tff(15452,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15453,plain,
% 38.60/25.02 ($false),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15452, 2846, 15451])).
% 38.60/25.02 tff(15454,plain,(~v71(constB133)), inference(lemma,lemma(discharge,[]))).
% 38.60/25.02 tff(15455,plain,
% 38.60/25.02 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | v71(constB133) | (~v76(constB133)))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB133)) | v71(constB133) | (~v76(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15456,plain,
% 38.60/25.02 (((~v72(constB133)) | (~v76(constB133)) | v71(constB133)) <=> ((~v72(constB133)) | v71(constB133) | (~v76(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15457,plain,
% 38.60/25.02 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | v71(constB133) | (~v76(constB133))))),
% 38.60/25.02 inference(monotonicity,[status(thm)],[15456])).
% 38.60/25.02 tff(15458,plain,
% 38.60/25.02 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB133)) | v71(constB133) | (~v76(constB133)))),
% 38.60/25.02 inference(transitivity,[status(thm)],[15457, 15455])).
% 38.60/25.02 tff(15459,plain,
% 38.60/25.02 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15460,plain,
% 38.60/25.02 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB133)) | v71(constB133) | (~v76(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15459, 15458])).
% 38.60/25.02 tff(15461,plain,
% 38.60/25.02 ((~v72(constB133)) | (~v76(constB133))),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15460, 2859, 15454])).
% 38.60/25.02 tff(15462,plain,
% 38.60/25.02 (~v72(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15461, 15450])).
% 38.60/25.02 tff(15463,plain,
% 38.60/25.02 (((~![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))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15464,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB133) | v72(constB133) | v74(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15465,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB133) | v72(constB133) | v74(constB133)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15464, 15463])).
% 38.60/25.02 tff(15466,plain,
% 38.60/25.02 (v72(constB133) | v74(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15465, 2874, 15301])).
% 38.60/25.02 tff(15467,plain,
% 38.60/25.02 (v74(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15466, 15462])).
% 38.60/25.02 tff(15468,plain,
% 38.60/25.02 (((~![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)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15469,plain,
% 38.60/25.02 ((v1(constB133) | (~v9(constB133)) | v64(constB133)) <=> (v1(constB133) | v64(constB133) | (~v9(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15470,plain,
% 38.60/25.02 (((~![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))))),
% 38.60/25.02 inference(monotonicity,[status(thm)],[15469])).
% 38.60/25.02 tff(15471,plain,
% 38.60/25.02 (((~![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)))),
% 38.60/25.02 inference(transitivity,[status(thm)],[15470, 15468])).
% 38.60/25.02 tff(15472,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v64(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15473,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB133) | v64(constB133) | (~v9(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 38.60/25.02 tff(15474,plain,
% 38.60/25.02 (v64(constB133) | (~v9(constB133))),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15473, 2772, 15301])).
% 38.60/25.02 tff(15475,plain,
% 38.60/25.02 (v64(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15474, 15437])).
% 38.60/25.02 tff(15476,assumption,(v26(constB132)), introduced(assumption)).
% 38.60/25.02 tff(15477,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB132))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15478,plain,
% 38.60/25.02 ($false),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15477, 120, 15476])).
% 38.60/25.02 tff(15479,plain,(~v26(constB132)), inference(lemma,lemma(discharge,[]))).
% 38.60/25.02 tff(15480,plain,
% 38.60/25.02 (((~![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)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15481,plain,
% 38.60/25.02 ((v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133))) <=> ((~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15482,plain,
% 38.60/25.02 (((~![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))))),
% 38.60/25.02 inference(monotonicity,[status(thm)],[15481])).
% 38.60/25.02 tff(15483,plain,
% 38.60/25.02 (((~![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)))),
% 38.60/25.02 inference(transitivity,[status(thm)],[15482, 15480])).
% 38.60/25.02 tff(15484,plain,
% 38.60/25.02 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15485,plain,
% 38.60/25.02 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15484, 15483])).
% 38.60/25.02 tff(15486,plain,
% 38.60/25.02 (v26(constB132) | (~v66(constB133))),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15485, 2726, 15304])).
% 38.60/25.02 tff(15487,plain,
% 38.60/25.02 (~v66(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15486, 15479])).
% 38.60/25.02 tff(15488,plain,
% 38.60/25.02 (((~![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)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15489,plain,
% 38.60/25.02 (((~v64(constB133)) | (~v60(constB133)) | v66(constB133)) <=> ((~v60(constB133)) | v66(constB133) | (~v64(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15490,plain,
% 38.60/25.02 (((~![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))))),
% 38.60/25.02 inference(monotonicity,[status(thm)],[15489])).
% 38.60/25.02 tff(15491,plain,
% 38.60/25.02 (((~![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)))),
% 38.60/25.02 inference(transitivity,[status(thm)],[15490, 15488])).
% 38.60/25.02 tff(15492,plain,
% 38.60/25.02 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB133)) | (~v60(constB133)) | v66(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15493,plain,
% 38.60/25.02 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB133)) | v66(constB133) | (~v64(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15492, 15491])).
% 38.60/25.02 tff(15494,plain,
% 38.60/25.02 ((~v60(constB133)) | (~v64(constB133))),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15493, 2790, 15487])).
% 38.60/25.02 tff(15495,plain,
% 38.60/25.02 (~v60(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15494, 15475])).
% 38.60/25.02 tff(15496,plain,
% 38.60/25.02 (((~![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)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15497,plain,
% 38.60/25.02 (((~v26(constB133)) | v60(constB133) | (~v74(constB133))) <=> (v60(constB133) | (~v26(constB133)) | (~v74(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15498,plain,
% 38.60/25.02 (((~![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))))),
% 38.60/25.02 inference(monotonicity,[status(thm)],[15497])).
% 38.60/25.02 tff(15499,plain,
% 38.60/25.02 (((~![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)))),
% 38.60/25.02 inference(transitivity,[status(thm)],[15498, 15496])).
% 38.60/25.02 tff(15500,plain,
% 38.60/25.02 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB133)) | v60(constB133) | (~v74(constB133)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15501,plain,
% 38.60/25.02 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB133) | (~v26(constB133)) | (~v74(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15500, 15499])).
% 38.60/25.02 tff(15502,plain,
% 38.60/25.02 ((~v26(constB133)) | (~v74(constB133))),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15501, 2889, 15495])).
% 38.60/25.02 tff(15503,plain,
% 38.60/25.02 (~v26(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15502, 15467])).
% 38.60/25.02 tff(15504,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | (~v107(constB133)) | v106(constB133))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15505,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15506,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | (~v107(constB133)) | v106(constB133)),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15505, 15504])).
% 38.60/25.02 tff(15507,plain,
% 38.60/25.02 ((~v107(constB133)) | v106(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15506, 350, 15503])).
% 38.60/25.02 tff(15508,plain,
% 38.60/25.02 (v106(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15507, 15409])).
% 38.60/25.02 tff(15509,plain,
% 38.60/25.02 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB133) | (~v106(constB133)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB133) | (~v106(constB133)))),
% 38.60/25.02 inference(rewrite,[status(thm)],[])).
% 38.60/25.02 tff(15510,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB133) | (~v106(constB133)))),
% 38.60/25.02 inference(quant_inst,[status(thm)],[])).
% 38.60/25.02 tff(15511,plain,
% 38.60/25.02 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB133) | (~v106(constB133))),
% 38.60/25.02 inference(modus_ponens,[status(thm)],[15510, 15509])).
% 38.60/25.02 tff(15512,plain,
% 38.60/25.02 (v102(constB133)),
% 38.60/25.02 inference(unit_resolution,[status(thm)],[15511, 362, 15508])).
% 38.60/25.02 tff(15513,plain,
% 38.60/25.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 38.63/25.02 inference(rewrite,[status(thm)],[])).
% 38.63/25.02 tff(15514,plain,
% 38.63/25.02 (((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 38.63/25.02 inference(rewrite,[status(thm)],[])).
% 38.63/25.02 tff(15515,plain,
% 38.63/25.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))))),
% 38.63/25.02 inference(monotonicity,[status(thm)],[15514])).
% 38.63/25.02 tff(15516,plain,
% 38.63/25.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 38.63/25.02 inference(transitivity,[status(thm)],[15515, 15513])).
% 38.63/25.02 tff(15517,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))),
% 38.63/25.02 inference(quant_inst,[status(thm)],[])).
% 38.63/25.02 tff(15518,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))),
% 38.63/25.02 inference(modus_ponens,[status(thm)],[15517, 15516])).
% 38.63/25.02 tff(15519,plain,
% 38.63/25.02 (v104(constB134) | (~v102(constB133))),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15518, 379, 15432])).
% 38.63/25.02 tff(15520,plain,
% 38.63/25.02 (v104(constB134)),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15519, 15512])).
% 38.63/25.02 tff(15521,plain,
% 38.63/25.02 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 38.63/25.02 inference(rewrite,[status(thm)],[])).
% 38.63/25.02 tff(15522,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 38.63/25.02 inference(quant_inst,[status(thm)],[])).
% 38.63/25.02 tff(15523,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134))),
% 38.63/25.02 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 38.63/25.02 tff(15524,plain,
% 38.63/25.02 (~v98(constB134)),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15523, 397, 15432, 15301])).
% 38.63/25.02 tff(15525,plain,
% 38.63/25.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 38.63/25.02 inference(rewrite,[status(thm)],[])).
% 38.63/25.02 tff(15526,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 38.63/25.02 inference(quant_inst,[status(thm)],[])).
% 38.63/25.02 tff(15527,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134)),
% 38.63/25.02 inference(modus_ponens,[status(thm)],[15526, 15525])).
% 38.63/25.02 tff(15528,plain,
% 38.63/25.02 (v96(constB134) | v98(constB134)),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15527, 411, 15432])).
% 38.63/25.02 tff(15529,plain,
% 38.63/25.02 (v96(constB134)),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15528, 15524])).
% 38.63/25.02 tff(15530,plain,
% 38.63/25.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 38.63/25.02 inference(rewrite,[status(thm)],[])).
% 38.63/25.02 tff(15531,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 38.63/25.02 inference(quant_inst,[status(thm)],[])).
% 38.63/25.02 tff(15532,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134))),
% 38.63/25.02 inference(modus_ponens,[status(thm)],[15531, 15530])).
% 38.63/25.02 tff(15533,plain,
% 38.63/25.02 (v95(constB134) | (~v96(constB134))),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15532, 429, 15432, 15416])).
% 38.63/25.02 tff(15534,plain,
% 38.63/25.02 (v95(constB134)),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15533, 15529])).
% 38.63/25.02 tff(15535,plain,
% 38.63/25.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 38.63/25.02 inference(rewrite,[status(thm)],[])).
% 38.63/25.02 tff(15536,plain,
% 38.63/25.02 (((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134)) <=> ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 38.63/25.02 inference(rewrite,[status(thm)],[])).
% 38.63/25.02 tff(15537,plain,
% 38.63/25.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134))))),
% 38.63/25.02 inference(monotonicity,[status(thm)],[15536])).
% 38.63/25.02 tff(15538,plain,
% 38.63/25.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 38.63/25.02 inference(transitivity,[status(thm)],[15537, 15535])).
% 38.63/25.02 tff(15539,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))),
% 38.63/25.02 inference(quant_inst,[status(thm)],[])).
% 38.63/25.02 tff(15540,plain,
% 38.63/25.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134))),
% 38.63/25.02 inference(modus_ponens,[status(thm)],[15539, 15538])).
% 38.63/25.02 tff(15541,plain,
% 38.63/25.02 (v94(constB134) | (~v95(constB134)) | (~v104(constB134))),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15540, 444, 15432])).
% 38.63/25.02 tff(15542,plain,
% 38.63/25.02 (v94(constB134) | (~v104(constB134))),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15541, 15534])).
% 38.63/25.02 tff(15543,plain,
% 38.63/25.02 (v94(constB134)),
% 38.63/25.02 inference(unit_resolution,[status(thm)],[15542, 15520])).
% 38.63/25.02 tff(15544,plain,
% 38.63/25.02 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB133)) | v124(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB133)) | v124(constB133, bitIndex1))),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15545,plain,
% 38.63/25.03 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB133)) | v124(constB133, bitIndex1))),
% 38.63/25.03 inference(quant_inst,[status(thm)],[])).
% 38.63/25.03 tff(15546,plain,
% 38.63/25.03 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB133)) | v124(constB133, bitIndex1)),
% 38.63/25.03 inference(modus_ponens,[status(thm)],[15545, 15544])).
% 38.63/25.03 tff(15547,plain,
% 38.63/25.03 (v124(constB133, bitIndex1)),
% 38.63/25.03 inference(unit_resolution,[status(thm)],[15546, 861, 15397])).
% 38.63/25.03 tff(15548,plain,
% 38.63/25.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB133) | (~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB133) | (~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1))),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15549,plain,
% 38.63/25.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB133) | (~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1))),
% 38.63/25.03 inference(quant_inst,[status(thm)],[])).
% 38.63/25.03 tff(15550,plain,
% 38.63/25.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB133) | (~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1)),
% 38.63/25.03 inference(modus_ponens,[status(thm)],[15549, 15548])).
% 38.63/25.03 tff(15551,plain,
% 38.63/25.03 ((~v124(constB133, bitIndex1)) | v121(constB133, bitIndex1)),
% 38.63/25.03 inference(unit_resolution,[status(thm)],[15550, 875, 15503])).
% 38.63/25.03 tff(15552,plain,
% 38.63/25.03 (v121(constB133, bitIndex1)),
% 38.63/25.03 inference(unit_resolution,[status(thm)],[15551, 15547])).
% 38.63/25.03 tff(15553,plain,
% 38.63/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1))),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15554,plain,
% 38.63/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1))),
% 38.63/25.03 inference(quant_inst,[status(thm)],[])).
% 38.63/25.03 tff(15555,plain,
% 38.63/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1)),
% 38.63/25.03 inference(modus_ponens,[status(thm)],[15554, 15553])).
% 38.63/25.03 tff(15556,plain,
% 38.63/25.03 ((~v121(constB133, bitIndex1)) | v123(constB134, bitIndex1)),
% 38.63/25.03 inference(unit_resolution,[status(thm)],[15555, 890, 15432])).
% 38.63/25.03 tff(15557,plain,
% 38.63/25.03 (v123(constB134, bitIndex1)),
% 38.63/25.03 inference(unit_resolution,[status(thm)],[15556, 15552])).
% 38.63/25.03 tff(15558,plain,
% 38.63/25.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134)))),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15559,plain,
% 38.63/25.03 ((v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1))) <=> (v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134)))),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15560,plain,
% 38.63/25.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134))))),
% 38.63/25.03 inference(monotonicity,[status(thm)],[15559])).
% 38.63/25.03 tff(15561,plain,
% 38.63/25.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134)))),
% 38.63/25.03 inference(transitivity,[status(thm)],[15560, 15558])).
% 38.63/25.03 tff(15562,plain,
% 38.63/25.03 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1)))),
% 38.63/25.03 inference(quant_inst,[status(thm)],[])).
% 38.63/25.03 tff(15563,plain,
% 38.63/25.03 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)) | (~v94(constB134))),
% 38.63/25.03 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 38.63/25.03 tff(15564,plain,
% 38.63/25.03 (v84(constB134, bitIndex1) | (~v94(constB134))),
% 38.63/25.03 inference(unit_resolution,[status(thm)],[15563, 905, 15557])).
% 38.63/25.03 tff(15565,plain,
% 38.63/25.03 (v84(constB134, bitIndex1)),
% 38.63/25.03 inference(unit_resolution,[status(thm)],[15564, 15543])).
% 38.63/25.03 tff(15566,plain,
% 38.63/25.03 ((~v1(constB135)) <=> (~v1(constB135))),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15567,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 38.63/25.03 tff(15568,plain,
% 38.63/25.03 (~v1(constB135)),
% 38.63/25.03 inference(modus_ponens,[status(thm)],[15567, 15566])).
% 38.63/25.03 tff(15569,plain,
% 38.63/25.03 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15570,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 38.63/25.03 tff(15571,plain,
% 38.63/25.03 (nextState(constB134, constB135)),
% 38.63/25.03 inference(modus_ponens,[status(thm)],[15570, 15569])).
% 38.63/25.03 tff(15572,plain,
% 38.63/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15573,plain,
% 38.63/25.03 (((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 38.63/25.03 inference(rewrite,[status(thm)],[])).
% 38.63/25.03 tff(15574,plain,
% 38.63/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))))),
% 38.63/25.03 inference(monotonicity,[status(thm)],[15573])).
% 38.63/25.03 tff(15575,plain,
% 38.63/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 38.63/25.03 inference(transitivity,[status(thm)],[15574, 15572])).
% 38.63/25.03 tff(15576,plain,
% 38.63/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))),
% 38.63/25.03 inference(quant_inst,[status(thm)],[])).
% 38.63/25.03 tff(15577,plain,
% 38.63/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))),
% 38.64/25.03 inference(modus_ponens,[status(thm)],[15576, 15575])).
% 38.64/25.03 tff(15578,plain,
% 38.64/25.03 (~v95(constB135)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15577, 175, 15571, 15568])).
% 38.64/25.03 tff(15579,plain,
% 38.64/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15580,plain,
% 38.64/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 38.64/25.03 inference(quant_inst,[status(thm)],[])).
% 38.64/25.03 tff(15581,plain,
% 38.64/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135))),
% 38.64/25.03 inference(modus_ponens,[status(thm)],[15580, 15579])).
% 38.64/25.03 tff(15582,plain,
% 38.64/25.03 (v95(constB135) | (~v94(constB135))),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15581, 192, 15571])).
% 38.64/25.03 tff(15583,plain,
% 38.64/25.03 (~v94(constB135)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15582, 15578])).
% 38.64/25.03 tff(15584,plain,
% 38.64/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15585,plain,
% 38.64/25.03 (((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1)) <=> ((~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15586,plain,
% 38.64/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1)))),
% 38.64/25.03 inference(monotonicity,[status(thm)],[15585])).
% 38.64/25.03 tff(15587,plain,
% 38.64/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1))),
% 38.64/25.03 inference(transitivity,[status(thm)],[15586, 15584])).
% 38.64/25.03 tff(15588,plain,
% 38.64/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1))),
% 38.64/25.03 inference(quant_inst,[status(thm)],[])).
% 38.64/25.03 tff(15589,plain,
% 38.64/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex1)),
% 38.64/25.03 inference(modus_ponens,[status(thm)],[15588, 15587])).
% 38.64/25.03 tff(15590,plain,
% 38.64/25.03 ((~v84(constB134, bitIndex1)) | v94(constB135) | v84(constB135, bitIndex1)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15589, 923, 15571])).
% 38.64/25.03 tff(15591,plain,
% 38.64/25.03 ((~v84(constB134, bitIndex1)) | v84(constB135, bitIndex1)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15590, 15583])).
% 38.64/25.03 tff(15592,plain,
% 38.64/25.03 (v84(constB135, bitIndex1)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15591, 15565])).
% 38.64/25.03 tff(15593,plain,
% 38.64/25.03 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB133)) | v124(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB133)) | v124(constB133, bitIndex2))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15594,plain,
% 38.64/25.03 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB133)) | v124(constB133, bitIndex2))),
% 38.64/25.03 inference(quant_inst,[status(thm)],[])).
% 38.64/25.03 tff(15595,plain,
% 38.64/25.03 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB133)) | v124(constB133, bitIndex2)),
% 38.64/25.03 inference(modus_ponens,[status(thm)],[15594, 15593])).
% 38.64/25.03 tff(15596,plain,
% 38.64/25.03 (v124(constB133, bitIndex2)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15595, 724, 15397])).
% 38.64/25.03 tff(15597,plain,
% 38.64/25.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB133) | (~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB133) | (~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15598,plain,
% 38.64/25.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB133) | (~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2))),
% 38.64/25.03 inference(quant_inst,[status(thm)],[])).
% 38.64/25.03 tff(15599,plain,
% 38.64/25.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB133) | (~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2)),
% 38.64/25.03 inference(modus_ponens,[status(thm)],[15598, 15597])).
% 38.64/25.03 tff(15600,plain,
% 38.64/25.03 ((~v124(constB133, bitIndex2)) | v121(constB133, bitIndex2)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15599, 477, 15503])).
% 38.64/25.03 tff(15601,plain,
% 38.64/25.03 (v121(constB133, bitIndex2)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15600, 15596])).
% 38.64/25.03 tff(15602,plain,
% 38.64/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15603,plain,
% 38.64/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2))),
% 38.64/25.03 inference(quant_inst,[status(thm)],[])).
% 38.64/25.03 tff(15604,plain,
% 38.64/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2)),
% 38.64/25.03 inference(modus_ponens,[status(thm)],[15603, 15602])).
% 38.64/25.03 tff(15605,plain,
% 38.64/25.03 ((~v121(constB133, bitIndex2)) | v123(constB134, bitIndex2)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15604, 492, 15432])).
% 38.64/25.03 tff(15606,plain,
% 38.64/25.03 (v123(constB134, bitIndex2)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15605, 15601])).
% 38.64/25.03 tff(15607,plain,
% 38.64/25.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134)))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15608,plain,
% 38.64/25.03 ((v84(constB134, bitIndex2) | (~v94(constB134)) | (~v123(constB134, bitIndex2))) <=> (v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134)))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15609,plain,
% 38.64/25.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v94(constB134)) | (~v123(constB134, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134))))),
% 38.64/25.03 inference(monotonicity,[status(thm)],[15608])).
% 38.64/25.03 tff(15610,plain,
% 38.64/25.03 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v94(constB134)) | (~v123(constB134, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134)))),
% 38.64/25.03 inference(transitivity,[status(thm)],[15609, 15607])).
% 38.64/25.03 tff(15611,plain,
% 38.64/25.03 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~v94(constB134)) | (~v123(constB134, bitIndex2)))),
% 38.64/25.03 inference(quant_inst,[status(thm)],[])).
% 38.64/25.03 tff(15612,plain,
% 38.64/25.03 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~v123(constB134, bitIndex2)) | (~v94(constB134))),
% 38.64/25.03 inference(modus_ponens,[status(thm)],[15611, 15610])).
% 38.64/25.03 tff(15613,plain,
% 38.64/25.03 (v84(constB134, bitIndex2) | (~v94(constB134))),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15612, 507, 15606])).
% 38.64/25.03 tff(15614,plain,
% 38.64/25.03 (v84(constB134, bitIndex2)),
% 38.64/25.03 inference(unit_resolution,[status(thm)],[15613, 15543])).
% 38.64/25.03 tff(15615,plain,
% 38.64/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15616,plain,
% 38.64/25.03 (((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2)) <=> ((~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2))),
% 38.64/25.03 inference(rewrite,[status(thm)],[])).
% 38.64/25.03 tff(15617,plain,
% 38.64/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2)))),
% 38.64/25.03 inference(monotonicity,[status(thm)],[15616])).
% 38.64/25.03 tff(15618,plain,
% 38.64/25.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2))),
% 38.64/25.03 inference(transitivity,[status(thm)],[15617, 15615])).
% 38.64/25.03 tff(15619,plain,
% 38.64/25.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2))),
% 38.64/25.04 inference(quant_inst,[status(thm)],[])).
% 38.64/25.04 tff(15620,plain,
% 38.64/25.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex2)),
% 38.64/25.04 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 38.64/25.04 tff(15621,plain,
% 38.64/25.04 ((~v84(constB134, bitIndex2)) | v94(constB135) | v84(constB135, bitIndex2)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15620, 543, 15571])).
% 38.64/25.04 tff(15622,plain,
% 38.64/25.04 ((~v84(constB134, bitIndex2)) | v84(constB135, bitIndex2)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15621, 15583])).
% 38.64/25.04 tff(15623,plain,
% 38.64/25.04 (v84(constB135, bitIndex2)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15622, 15614])).
% 38.64/25.04 tff(15624,assumption,(~v26(constB131)), introduced(assumption)).
% 38.64/25.04 tff(15625,plain,
% 38.64/25.04 (v121(constB131, bitIndex2)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15214, 15624])).
% 38.64/25.04 tff(15626,plain,
% 38.64/25.04 (v123(constB132, bitIndex2)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15222, 15625])).
% 38.64/25.04 tff(15627,plain,
% 38.64/25.04 (v84(constB132, bitIndex2)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15297, 15626])).
% 38.64/25.04 tff(15628,plain,
% 38.64/25.04 (v84(constB133, bitIndex2)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15324, 15627])).
% 38.64/25.04 tff(15629,plain,
% 38.64/25.04 (~v121(constB131, bitIndex1)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15336, 15624])).
% 38.64/25.04 tff(15630,plain,
% 38.64/25.04 (~v123(constB132, bitIndex1)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15341, 15629])).
% 38.64/25.04 tff(15631,plain,
% 38.64/25.04 (~v84(constB132, bitIndex1)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15349, 15630])).
% 38.64/25.04 tff(15632,plain,
% 38.64/25.04 (~v84(constB133, bitIndex1)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15358, 15631])).
% 38.64/25.04 tff(15633,plain,
% 38.64/25.04 (~v121(constB131, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15370, 15624])).
% 38.64/25.04 tff(15634,plain,
% 38.64/25.04 (~v123(constB132, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15375, 15633])).
% 38.64/25.04 tff(15635,plain,
% 38.64/25.04 (~v84(constB132, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15383, 15634])).
% 38.64/25.04 tff(15636,plain,
% 38.64/25.04 (~v84(constB133, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15392, 15635])).
% 38.64/25.04 tff(15637,plain,
% 38.64/25.04 (v172(constB133)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15396, 710, 15636, 15632, 15628])).
% 38.64/25.04 tff(15638,assumption,(v84(constB134, bitIndex0)), introduced(assumption)).
% 38.64/25.04 tff(15639,plain,
% 38.64/25.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v94(constB134) | (~v84(constB134, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v94(constB134) | (~v84(constB134, bitIndex0)))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15640,plain,
% 38.64/25.04 (((~nextState(constB133, constB134)) | v84(constB133, bitIndex0) | v94(constB134) | (~v84(constB134, bitIndex0))) <=> (v84(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v94(constB134) | (~v84(constB134, bitIndex0)))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15641,plain,
% 38.64/25.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v84(constB133, bitIndex0) | v94(constB134) | (~v84(constB134, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v94(constB134) | (~v84(constB134, bitIndex0))))),
% 38.64/25.04 inference(monotonicity,[status(thm)],[15640])).
% 38.64/25.04 tff(15642,plain,
% 38.64/25.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v84(constB133, bitIndex0) | v94(constB134) | (~v84(constB134, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v94(constB134) | (~v84(constB134, bitIndex0)))),
% 38.64/25.04 inference(transitivity,[status(thm)],[15641, 15639])).
% 38.64/25.04 tff(15643,plain,
% 38.64/25.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v84(constB133, bitIndex0) | v94(constB134) | (~v84(constB134, bitIndex0)))),
% 38.64/25.04 inference(quant_inst,[status(thm)],[])).
% 38.64/25.04 tff(15644,plain,
% 38.64/25.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v94(constB134) | (~v84(constB134, bitIndex0))),
% 38.64/25.04 inference(modus_ponens,[status(thm)],[15643, 15642])).
% 38.64/25.04 tff(15645,plain,
% 38.64/25.04 (v84(constB133, bitIndex0) | v94(constB134) | (~v84(constB134, bitIndex0))),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15644, 249, 15432])).
% 38.64/25.04 tff(15646,plain,
% 38.64/25.04 (v94(constB134)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15645, 15636, 15638])).
% 38.64/25.04 tff(15647,plain,
% 38.64/25.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134)))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15648,plain,
% 38.64/25.04 (((~v84(constB134, bitIndex0)) | (~v94(constB134)) | v123(constB134, bitIndex0)) <=> ((~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134)))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15649,plain,
% 38.64/25.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~v94(constB134)) | v123(constB134, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134))))),
% 38.64/25.04 inference(monotonicity,[status(thm)],[15648])).
% 38.64/25.04 tff(15650,plain,
% 38.64/25.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~v94(constB134)) | v123(constB134, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134)))),
% 38.64/25.04 inference(transitivity,[status(thm)],[15649, 15647])).
% 38.64/25.04 tff(15651,plain,
% 38.64/25.04 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~v94(constB134)) | v123(constB134, bitIndex0))),
% 38.64/25.04 inference(quant_inst,[status(thm)],[])).
% 38.64/25.04 tff(15652,plain,
% 38.64/25.04 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | v123(constB134, bitIndex0) | (~v94(constB134))),
% 38.64/25.04 inference(modus_ponens,[status(thm)],[15651, 15650])).
% 38.64/25.04 tff(15653,plain,
% 38.64/25.04 (v123(constB134, bitIndex0) | (~v94(constB134))),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15652, 683, 15638])).
% 38.64/25.04 tff(15654,plain,
% 38.64/25.04 (v123(constB134, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15653, 15646])).
% 38.64/25.04 tff(15655,plain,
% 38.64/25.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0)))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15656,plain,
% 38.64/25.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0)))),
% 38.64/25.04 inference(quant_inst,[status(thm)],[])).
% 38.64/25.04 tff(15657,plain,
% 38.64/25.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0))),
% 38.64/25.04 inference(modus_ponens,[status(thm)],[15656, 15655])).
% 38.64/25.04 tff(15658,plain,
% 38.64/25.04 (v121(constB133, bitIndex0) | (~v123(constB134, bitIndex0))),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15657, 668, 15432])).
% 38.64/25.04 tff(15659,plain,
% 38.64/25.04 (v121(constB133, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15658, 15654])).
% 38.64/25.04 tff(15660,plain,
% 38.64/25.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15661,plain,
% 38.64/25.04 ((v26(constB133) | v124(constB133, bitIndex0) | (~v121(constB133, bitIndex0))) <=> ((~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15662,plain,
% 38.64/25.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB133) | v124(constB133, bitIndex0) | (~v121(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0)))),
% 38.64/25.04 inference(monotonicity,[status(thm)],[15661])).
% 38.64/25.04 tff(15663,plain,
% 38.64/25.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB133) | v124(constB133, bitIndex0) | (~v121(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0))),
% 38.64/25.04 inference(transitivity,[status(thm)],[15662, 15660])).
% 38.64/25.04 tff(15664,plain,
% 38.64/25.04 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB133) | v124(constB133, bitIndex0) | (~v121(constB133, bitIndex0)))),
% 38.64/25.04 inference(quant_inst,[status(thm)],[])).
% 38.64/25.04 tff(15665,plain,
% 38.64/25.04 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB133, bitIndex0)) | v26(constB133) | v124(constB133, bitIndex0)),
% 38.64/25.04 inference(modus_ponens,[status(thm)],[15664, 15663])).
% 38.64/25.04 tff(15666,plain,
% 38.64/25.04 ((~v121(constB133, bitIndex0)) | v124(constB133, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15665, 650, 15503])).
% 38.64/25.04 tff(15667,plain,
% 38.64/25.04 (v124(constB133, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15666, 15659])).
% 38.64/25.04 tff(15668,plain,
% 38.64/25.04 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB133)) | (~v124(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB133)) | (~v124(constB133, bitIndex0)))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15669,plain,
% 38.64/25.04 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB133)) | (~v124(constB133, bitIndex0)))),
% 38.64/25.04 inference(quant_inst,[status(thm)],[])).
% 38.64/25.04 tff(15670,plain,
% 38.64/25.04 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB133)) | (~v124(constB133, bitIndex0))),
% 38.64/25.04 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 38.64/25.04 tff(15671,plain,
% 38.64/25.04 ($false),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15670, 942, 15667, 15637])).
% 38.64/25.04 tff(15672,plain,(v26(constB131) | (~v84(constB134, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 38.64/25.04 tff(15673,plain,
% 38.64/25.04 (~v84(constB134, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15672, 135])).
% 38.64/25.04 tff(15674,plain,
% 38.64/25.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0)))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15675,plain,
% 38.64/25.04 (((~nextState(constB134, constB135)) | v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0))) <=> (v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0)))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15676,plain,
% 38.64/25.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0))))),
% 38.64/25.04 inference(monotonicity,[status(thm)],[15675])).
% 38.64/25.04 tff(15677,plain,
% 38.64/25.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0)))),
% 38.64/25.04 inference(transitivity,[status(thm)],[15676, 15674])).
% 38.64/25.04 tff(15678,plain,
% 38.64/25.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0)))),
% 38.64/25.04 inference(quant_inst,[status(thm)],[])).
% 38.64/25.04 tff(15679,plain,
% 38.64/25.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex0))),
% 38.64/25.04 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 38.64/25.04 tff(15680,plain,
% 38.64/25.04 (v84(constB134, bitIndex0) | v94(constB135) | (~v84(constB135, bitIndex0))),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15679, 249, 15571])).
% 38.64/25.04 tff(15681,plain,
% 38.64/25.04 (v84(constB134, bitIndex0) | (~v84(constB135, bitIndex0))),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15680, 15583])).
% 38.64/25.04 tff(15682,plain,
% 38.64/25.04 (~v84(constB135, bitIndex0)),
% 38.64/25.04 inference(unit_resolution,[status(thm)],[15681, 15673])).
% 38.64/25.04 tff(15683,plain,
% 38.64/25.04 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))),
% 38.64/25.04 inference(rewrite,[status(thm)],[])).
% 38.64/25.04 tff(15684,plain,
% 38.64/25.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15685,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135)),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15684, 15683])).
% 38.64/25.05 tff(15686,plain,
% 38.64/25.05 ((~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15685, 986, 15682])).
% 38.64/25.05 tff(15687,plain,
% 38.64/25.05 (v119(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15686, 15623, 15592])).
% 38.64/25.05 tff(15688,plain,
% 38.64/25.05 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB135) | (~v119(constB135)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB135) | (~v119(constB135)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15689,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB135) | (~v119(constB135)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15690,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB135) | (~v119(constB135))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 38.64/25.05 tff(15691,plain,
% 38.64/25.05 (v107(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15690, 997, 15687])).
% 38.64/25.05 tff(15692,plain,
% 38.64/25.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | (~v107(constB135)) | v106(constB135))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15693,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15694,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | (~v107(constB135)) | v106(constB135)),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15693, 15692])).
% 38.64/25.05 tff(15695,plain,
% 38.64/25.05 (v26(constB135) | v106(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15694, 350, 15691])).
% 38.64/25.05 tff(15696,plain,
% 38.64/25.05 (v106(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15695, 131])).
% 38.64/25.05 tff(15697,plain,
% 38.64/25.05 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB135) | (~v106(constB135)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB135) | (~v106(constB135)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15698,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB135) | (~v106(constB135)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15699,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB135) | (~v106(constB135))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 38.64/25.05 tff(15700,plain,
% 38.64/25.05 (v102(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15699, 362, 15696])).
% 38.64/25.05 tff(15701,plain,
% 38.64/25.05 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15702,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 38.64/25.05 tff(15703,plain,
% 38.64/25.05 (nextState(constB135, constB136)),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 38.64/25.05 tff(15704,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15705,plain,
% 38.64/25.05 (((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15706,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))))),
% 38.64/25.05 inference(monotonicity,[status(thm)],[15705])).
% 38.64/25.05 tff(15707,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 38.64/25.05 inference(transitivity,[status(thm)],[15706, 15704])).
% 38.64/25.05 tff(15708,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15709,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15708, 15707])).
% 38.64/25.05 tff(15710,plain,
% 38.64/25.05 (v104(constB136) | (~v102(constB135))),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15709, 379, 15703])).
% 38.64/25.05 tff(15711,plain,
% 38.64/25.05 (v104(constB136)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15710, 15700])).
% 38.64/25.05 tff(15712,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15713,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15714,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15713, 15712])).
% 38.64/25.05 tff(15715,plain,
% 38.64/25.05 (~v98(constB136)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15714, 397, 15703, 15568])).
% 38.64/25.05 tff(15716,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15717,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15718,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136)),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 38.64/25.05 tff(15719,plain,
% 38.64/25.05 (v96(constB136) | v98(constB136)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15718, 411, 15703])).
% 38.64/25.05 tff(15720,plain,
% 38.64/25.05 (v96(constB136)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15719, 15715])).
% 38.64/25.05 tff(15721,plain,
% 38.64/25.05 (v1(constB136) <=> v1(constB136)),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15722,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 38.64/25.05 tff(15723,plain,
% 38.64/25.05 (v1(constB136)),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 38.64/25.05 tff(15724,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15725,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15726,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15725, 15724])).
% 38.64/25.05 tff(15727,plain,
% 38.64/25.05 (v95(constB136) | (~v96(constB136))),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15726, 429, 15703, 15723])).
% 38.64/25.05 tff(15728,plain,
% 38.64/25.05 (v95(constB136)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15727, 15720])).
% 38.64/25.05 tff(15729,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15730,plain,
% 38.64/25.05 (((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136)) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15731,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136))))),
% 38.64/25.05 inference(monotonicity,[status(thm)],[15730])).
% 38.64/25.05 tff(15732,plain,
% 38.64/25.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 38.64/25.05 inference(transitivity,[status(thm)],[15731, 15729])).
% 38.64/25.05 tff(15733,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15734,plain,
% 38.64/25.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 38.64/25.05 tff(15735,plain,
% 38.64/25.05 (v94(constB136) | (~v95(constB136)) | (~v104(constB136))),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15734, 444, 15703])).
% 38.64/25.05 tff(15736,plain,
% 38.64/25.05 (v94(constB136) | (~v104(constB136))),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15735, 15728])).
% 38.64/25.05 tff(15737,plain,
% 38.64/25.05 (v94(constB136)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15736, 15711])).
% 38.64/25.05 tff(15738,plain,
% 38.64/25.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v172(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB135, bitIndex1)) | (~v172(constB135)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15739,plain,
% 38.64/25.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v172(constB135)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15740,plain,
% 38.64/25.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB135, bitIndex1)) | (~v172(constB135))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15739, 15738])).
% 38.64/25.05 tff(15741,plain,
% 38.64/25.05 (~v172(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15740, 1105, 15592])).
% 38.64/25.05 tff(15742,plain,
% 38.64/25.05 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB135)) | (~v84(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB135)) | (~v84(constB135, bitIndex1)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15743,plain,
% 38.64/25.05 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB135)) | (~v84(constB135, bitIndex1)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15744,plain,
% 38.64/25.05 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB135)) | (~v84(constB135, bitIndex1))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 38.64/25.05 tff(15745,plain,
% 38.64/25.05 (~v113(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15744, 1083, 15592])).
% 38.64/25.05 tff(15746,plain,
% 38.64/25.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB135, bitIndex2)) | (~v115(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB135, bitIndex2)) | (~v115(constB135)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15747,plain,
% 38.64/25.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB135, bitIndex2)) | (~v115(constB135)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15748,plain,
% 38.64/25.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB135, bitIndex2)) | (~v115(constB135))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15747, 15746])).
% 38.64/25.05 tff(15749,plain,
% 38.64/25.05 (~v115(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15748, 1058, 15623])).
% 38.64/25.05 tff(15750,plain,
% 38.64/25.05 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB135, bitIndex0) | (~v116(constB135)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB135, bitIndex0) | (~v116(constB135)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15751,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB135, bitIndex0) | (~v116(constB135)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15752,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB135, bitIndex0) | (~v116(constB135))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15751, 15750])).
% 38.64/25.05 tff(15753,plain,
% 38.64/25.05 (~v116(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15752, 2335, 15682])).
% 38.64/25.05 tff(15754,plain,
% 38.64/25.05 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB135, bitIndex0) | (~v118(constB135)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB135, bitIndex0) | (~v118(constB135)))),
% 38.64/25.05 inference(rewrite,[status(thm)],[])).
% 38.64/25.05 tff(15755,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB135, bitIndex0) | (~v118(constB135)))),
% 38.64/25.05 inference(quant_inst,[status(thm)],[])).
% 38.64/25.05 tff(15756,plain,
% 38.64/25.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB135, bitIndex0) | (~v118(constB135))),
% 38.64/25.05 inference(modus_ponens,[status(thm)],[15755, 15754])).
% 38.64/25.05 tff(15757,plain,
% 38.64/25.05 (~v118(constB135)),
% 38.64/25.05 inference(unit_resolution,[status(thm)],[15756, 2346, 15682])).
% 38.64/25.05 tff(15758,plain,
% 38.64/25.05 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB135, bitIndex0) | (~v145(constB135)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB135, bitIndex0) | (~v145(constB135)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15759,plain,
% 38.64/25.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB135, bitIndex0) | (~v145(constB135)))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15760,plain,
% 38.64/25.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB135, bitIndex0) | (~v145(constB135))),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15759, 15758])).
% 38.64/25.06 tff(15761,plain,
% 38.64/25.06 (~v145(constB135)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15760, 2357, 15682])).
% 38.64/25.06 tff(15762,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex2)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15763,plain,
% 38.64/25.06 ((v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex2))) <=> (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex2)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15764,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex2))))),
% 38.64/25.06 inference(monotonicity,[status(thm)],[15763])).
% 38.64/25.06 tff(15765,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex2)))),
% 38.64/25.06 inference(transitivity,[status(thm)],[15764, 15762])).
% 38.64/25.06 tff(15766,plain,
% 38.64/25.06 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex2)))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15767,plain,
% 38.64/25.06 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex2))),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15766, 15765])).
% 38.64/25.06 tff(15768,plain,
% 38.64/25.06 (v172(constB135) | v115(constB135) | v113(constB135) | (~v124(constB135, bitIndex2))),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15767, 1130, 15761, 15757, 15753])).
% 38.64/25.06 tff(15769,plain,
% 38.64/25.06 (~v124(constB135, bitIndex2)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15768, 15749, 15745, 15741])).
% 38.64/25.06 tff(15770,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15771,plain,
% 38.64/25.06 ((v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2))) <=> ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15772,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2)))),
% 38.64/25.06 inference(monotonicity,[status(thm)],[15771])).
% 38.64/25.06 tff(15773,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 38.64/25.06 inference(transitivity,[status(thm)],[15772, 15770])).
% 38.64/25.06 tff(15774,plain,
% 38.64/25.06 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15775,plain,
% 38.64/25.06 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2)),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 38.64/25.06 tff(15776,plain,
% 38.64/25.06 ((~v121(constB135, bitIndex2)) | v26(constB135)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15775, 1147, 15769])).
% 38.64/25.06 tff(15777,plain,
% 38.64/25.06 (~v121(constB135, bitIndex2)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15776, 131])).
% 38.64/25.06 tff(15778,plain,
% 38.64/25.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15779,plain,
% 38.64/25.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15780,plain,
% 38.64/25.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2))),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15779, 15778])).
% 38.64/25.06 tff(15781,plain,
% 38.64/25.06 (v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2))),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15780, 1165, 15703])).
% 38.64/25.06 tff(15782,plain,
% 38.64/25.06 (~v123(constB136, bitIndex2)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15781, 15777])).
% 38.64/25.06 tff(15783,plain,
% 38.64/25.06 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15784,plain,
% 38.64/25.06 (((~v84(constB136, bitIndex2)) | (~v94(constB136)) | v123(constB136, bitIndex2)) <=> ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15785,plain,
% 38.64/25.06 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | (~v94(constB136)) | v123(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136))))),
% 38.64/25.06 inference(monotonicity,[status(thm)],[15784])).
% 38.64/25.06 tff(15786,plain,
% 38.64/25.06 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | (~v94(constB136)) | v123(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 38.64/25.06 inference(transitivity,[status(thm)],[15785, 15783])).
% 38.64/25.06 tff(15787,plain,
% 38.64/25.06 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | (~v94(constB136)) | v123(constB136, bitIndex2))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15788,plain,
% 38.64/25.06 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136))),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15787, 15786])).
% 38.64/25.06 tff(15789,plain,
% 38.64/25.06 ((~v84(constB136, bitIndex2)) | (~v94(constB136))),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15788, 1180, 15782])).
% 38.64/25.06 tff(15790,plain,
% 38.64/25.06 (~v84(constB136, bitIndex2)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15789, 15737])).
% 38.64/25.06 tff(15791,plain,
% 38.64/25.06 ((~v1(constB137)) <=> (~v1(constB137))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15792,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 38.64/25.06 tff(15793,plain,
% 38.64/25.06 (~v1(constB137)),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15792, 15791])).
% 38.64/25.06 tff(15794,plain,
% 38.64/25.06 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15795,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 38.64/25.06 tff(15796,plain,
% 38.64/25.06 (nextState(constB136, constB137)),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15795, 15794])).
% 38.64/25.06 tff(15797,plain,
% 38.64/25.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15798,plain,
% 38.64/25.06 (((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15799,plain,
% 38.64/25.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))))),
% 38.64/25.06 inference(monotonicity,[status(thm)],[15798])).
% 38.64/25.06 tff(15800,plain,
% 38.64/25.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 38.64/25.06 inference(transitivity,[status(thm)],[15799, 15797])).
% 38.64/25.06 tff(15801,plain,
% 38.64/25.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15802,plain,
% 38.64/25.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 38.64/25.06 tff(15803,plain,
% 38.64/25.06 (~v95(constB137)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15802, 175, 15796, 15793])).
% 38.64/25.06 tff(15804,plain,
% 38.64/25.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15805,plain,
% 38.64/25.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15806,plain,
% 38.64/25.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137))),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15805, 15804])).
% 38.64/25.06 tff(15807,plain,
% 38.64/25.06 (v95(constB137) | (~v94(constB137))),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15806, 192, 15796])).
% 38.64/25.06 tff(15808,plain,
% 38.64/25.06 (~v94(constB137)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15807, 15803])).
% 38.64/25.06 tff(15809,plain,
% 38.64/25.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15810,plain,
% 38.64/25.06 (((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2))) <=> (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15811,plain,
% 38.64/25.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2))))),
% 38.64/25.06 inference(monotonicity,[status(thm)],[15810])).
% 38.64/25.06 tff(15812,plain,
% 38.64/25.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 38.64/25.06 inference(transitivity,[status(thm)],[15811, 15809])).
% 38.64/25.06 tff(15813,plain,
% 38.64/25.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15814,plain,
% 38.64/25.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2))),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15813, 15812])).
% 38.64/25.06 tff(15815,plain,
% 38.64/25.06 (v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2))),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15814, 207, 15796])).
% 38.64/25.06 tff(15816,plain,
% 38.64/25.06 (v84(constB136, bitIndex2) | (~v84(constB137, bitIndex2))),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15815, 15808])).
% 38.64/25.06 tff(15817,plain,
% 38.64/25.06 (~v84(constB137, bitIndex2)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15816, 15790])).
% 38.64/25.06 tff(15818,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex1)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15819,plain,
% 38.64/25.06 ((v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex1))) <=> (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex1)))),
% 38.64/25.06 inference(rewrite,[status(thm)],[])).
% 38.64/25.06 tff(15820,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex1))))),
% 38.64/25.06 inference(monotonicity,[status(thm)],[15819])).
% 38.64/25.06 tff(15821,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex1)))),
% 38.64/25.06 inference(transitivity,[status(thm)],[15820, 15818])).
% 38.64/25.06 tff(15822,plain,
% 38.64/25.06 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~v124(constB135, bitIndex1)))),
% 38.64/25.06 inference(quant_inst,[status(thm)],[])).
% 38.64/25.06 tff(15823,plain,
% 38.64/25.06 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | (~v124(constB135, bitIndex1))),
% 38.64/25.06 inference(modus_ponens,[status(thm)],[15822, 15821])).
% 38.64/25.06 tff(15824,plain,
% 38.64/25.06 (v172(constB135) | v115(constB135) | v113(constB135) | (~v124(constB135, bitIndex1))),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15823, 1225, 15761, 15757, 15753])).
% 38.64/25.06 tff(15825,plain,
% 38.64/25.06 (~v124(constB135, bitIndex1)),
% 38.64/25.06 inference(unit_resolution,[status(thm)],[15824, 15749, 15745, 15741])).
% 38.64/25.06 tff(15826,plain,
% 38.64/25.06 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15827,plain,
% 38.64/25.07 ((v26(constB135) | v124(constB135, bitIndex1) | (~v121(constB135, bitIndex1))) <=> ((~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15828,plain,
% 38.64/25.07 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB135) | v124(constB135, bitIndex1) | (~v121(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1)))),
% 38.64/25.07 inference(monotonicity,[status(thm)],[15827])).
% 38.64/25.07 tff(15829,plain,
% 38.64/25.07 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB135) | v124(constB135, bitIndex1) | (~v121(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1))),
% 38.64/25.07 inference(transitivity,[status(thm)],[15828, 15826])).
% 38.64/25.07 tff(15830,plain,
% 38.64/25.07 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB135) | v124(constB135, bitIndex1) | (~v121(constB135, bitIndex1)))),
% 38.64/25.07 inference(quant_inst,[status(thm)],[])).
% 38.64/25.07 tff(15831,plain,
% 38.64/25.07 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB135, bitIndex1)) | v26(constB135) | v124(constB135, bitIndex1)),
% 38.64/25.07 inference(modus_ponens,[status(thm)],[15830, 15829])).
% 38.64/25.07 tff(15832,plain,
% 38.64/25.07 ((~v121(constB135, bitIndex1)) | v26(constB135)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15831, 576, 15825])).
% 38.64/25.07 tff(15833,plain,
% 38.64/25.07 (~v121(constB135, bitIndex1)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15832, 131])).
% 38.64/25.07 tff(15834,plain,
% 38.64/25.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1)))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15835,plain,
% 38.64/25.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1)))),
% 38.64/25.07 inference(quant_inst,[status(thm)],[])).
% 38.64/25.07 tff(15836,plain,
% 38.64/25.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1))),
% 38.64/25.07 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 38.64/25.07 tff(15837,plain,
% 38.64/25.07 (v121(constB135, bitIndex1) | (~v123(constB136, bitIndex1))),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15836, 594, 15703])).
% 38.64/25.07 tff(15838,plain,
% 38.64/25.07 (~v123(constB136, bitIndex1)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15837, 15833])).
% 38.64/25.07 tff(15839,plain,
% 38.64/25.07 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136)))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15840,plain,
% 38.64/25.07 (((~v84(constB136, bitIndex1)) | (~v94(constB136)) | v123(constB136, bitIndex1)) <=> ((~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136)))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15841,plain,
% 38.64/25.07 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~v94(constB136)) | v123(constB136, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136))))),
% 38.64/25.07 inference(monotonicity,[status(thm)],[15840])).
% 38.64/25.07 tff(15842,plain,
% 38.64/25.07 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~v94(constB136)) | v123(constB136, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136)))),
% 38.64/25.07 inference(transitivity,[status(thm)],[15841, 15839])).
% 38.64/25.07 tff(15843,plain,
% 38.64/25.07 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~v94(constB136)) | v123(constB136, bitIndex1))),
% 38.64/25.07 inference(quant_inst,[status(thm)],[])).
% 38.64/25.07 tff(15844,plain,
% 38.64/25.07 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | v123(constB136, bitIndex1) | (~v94(constB136))),
% 38.64/25.07 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 38.64/25.07 tff(15845,plain,
% 38.64/25.07 ((~v84(constB136, bitIndex1)) | (~v94(constB136))),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15844, 609, 15838])).
% 38.64/25.07 tff(15846,plain,
% 38.64/25.07 (~v84(constB136, bitIndex1)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15845, 15737])).
% 38.64/25.07 tff(15847,plain,
% 38.64/25.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1)))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15848,plain,
% 38.64/25.07 (((~nextState(constB136, constB137)) | v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1))) <=> (v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1)))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15849,plain,
% 38.64/25.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1))))),
% 38.64/25.07 inference(monotonicity,[status(thm)],[15848])).
% 38.64/25.07 tff(15850,plain,
% 38.64/25.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1)))),
% 38.64/25.07 inference(transitivity,[status(thm)],[15849, 15847])).
% 38.64/25.07 tff(15851,plain,
% 38.64/25.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1)))),
% 38.64/25.07 inference(quant_inst,[status(thm)],[])).
% 38.64/25.07 tff(15852,plain,
% 38.64/25.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex1))),
% 38.64/25.07 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 38.64/25.07 tff(15853,plain,
% 38.64/25.07 (v84(constB136, bitIndex1) | v94(constB137) | (~v84(constB137, bitIndex1))),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15852, 228, 15796])).
% 38.64/25.07 tff(15854,plain,
% 38.64/25.07 (v84(constB136, bitIndex1) | (~v84(constB137, bitIndex1))),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15853, 15808])).
% 38.64/25.07 tff(15855,plain,
% 38.64/25.07 (~v84(constB137, bitIndex1)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15854, 15846])).
% 38.64/25.07 tff(15856,plain,
% 38.64/25.07 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | v124(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | v124(constB135, bitIndex0))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15857,plain,
% 38.64/25.07 ((v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | v124(constB135, bitIndex0)) <=> (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | v124(constB135, bitIndex0))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15858,plain,
% 38.64/25.07 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | v124(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | v124(constB135, bitIndex0)))),
% 38.64/25.07 inference(monotonicity,[status(thm)],[15857])).
% 38.64/25.07 tff(15859,plain,
% 38.64/25.07 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | v124(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | v124(constB135, bitIndex0))),
% 38.64/25.07 inference(transitivity,[status(thm)],[15858, 15856])).
% 38.64/25.07 tff(15860,plain,
% 38.64/25.07 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | v124(constB135, bitIndex0))),
% 38.64/25.07 inference(quant_inst,[status(thm)],[])).
% 38.64/25.07 tff(15861,plain,
% 38.64/25.07 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB135) | v115(constB135) | v116(constB135) | v145(constB135) | v118(constB135) | v113(constB135) | v124(constB135, bitIndex0)),
% 38.64/25.07 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 38.64/25.07 tff(15862,plain,
% 38.64/25.07 (v172(constB135) | v115(constB135) | v113(constB135) | v124(constB135, bitIndex0)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15861, 1272, 15761, 15757, 15753])).
% 38.64/25.07 tff(15863,plain,
% 38.64/25.07 (v124(constB135, bitIndex0)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15862, 15749, 15745, 15741])).
% 38.64/25.07 tff(15864,plain,
% 38.64/25.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB135) | (~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB135) | (~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15865,plain,
% 38.64/25.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB135) | (~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0))),
% 38.64/25.07 inference(quant_inst,[status(thm)],[])).
% 38.64/25.07 tff(15866,plain,
% 38.64/25.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB135) | (~v124(constB135, bitIndex0)) | v121(constB135, bitIndex0)),
% 38.64/25.07 inference(modus_ponens,[status(thm)],[15865, 15864])).
% 38.64/25.07 tff(15867,plain,
% 38.64/25.07 (v26(constB135) | v121(constB135, bitIndex0)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15866, 1289, 15863])).
% 38.64/25.07 tff(15868,plain,
% 38.64/25.07 (v121(constB135, bitIndex0)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15867, 131])).
% 38.64/25.07 tff(15869,plain,
% 38.64/25.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15870,plain,
% 38.64/25.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0))),
% 38.64/25.07 inference(quant_inst,[status(thm)],[])).
% 38.64/25.07 tff(15871,plain,
% 38.64/25.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0)),
% 38.64/25.07 inference(modus_ponens,[status(thm)],[15870, 15869])).
% 38.64/25.07 tff(15872,plain,
% 38.64/25.07 ((~v121(constB135, bitIndex0)) | v123(constB136, bitIndex0)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15871, 1304, 15703])).
% 38.64/25.07 tff(15873,plain,
% 38.64/25.07 (v123(constB136, bitIndex0)),
% 38.64/25.07 inference(unit_resolution,[status(thm)],[15872, 15868])).
% 38.64/25.07 tff(15874,plain,
% 38.64/25.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136)))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15875,plain,
% 38.64/25.07 ((v84(constB136, bitIndex0) | (~v94(constB136)) | (~v123(constB136, bitIndex0))) <=> (v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136)))),
% 38.64/25.07 inference(rewrite,[status(thm)],[])).
% 38.64/25.07 tff(15876,plain,
% 38.64/25.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v94(constB136)) | (~v123(constB136, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136))))),
% 38.64/25.07 inference(monotonicity,[status(thm)],[15875])).
% 38.64/25.07 tff(15877,plain,
% 38.64/25.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v94(constB136)) | (~v123(constB136, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136)))),
% 38.64/25.07 inference(transitivity,[status(thm)],[15876, 15874])).
% 38.64/25.07 tff(15878,plain,
% 38.64/25.07 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~v94(constB136)) | (~v123(constB136, bitIndex0)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15879,plain,
% 38.64/25.08 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)) | (~v94(constB136))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15878, 15877])).
% 38.64/25.08 tff(15880,plain,
% 38.64/25.08 (v84(constB136, bitIndex0) | (~v94(constB136))),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15879, 1319, 15873])).
% 38.64/25.08 tff(15881,plain,
% 38.64/25.08 (v84(constB136, bitIndex0)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15880, 15737])).
% 38.64/25.08 tff(15882,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15883,plain,
% 38.64/25.08 (((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0)) <=> ((~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15884,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0)))),
% 38.64/25.08 inference(monotonicity,[status(thm)],[15883])).
% 38.64/25.08 tff(15885,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0))),
% 38.64/25.08 inference(transitivity,[status(thm)],[15884, 15882])).
% 38.64/25.08 tff(15886,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15887,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex0)),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15886, 15885])).
% 38.64/25.08 tff(15888,plain,
% 38.64/25.08 ((~v84(constB136, bitIndex0)) | v94(constB137) | v84(constB137, bitIndex0)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15887, 1337, 15796])).
% 38.64/25.08 tff(15889,plain,
% 38.64/25.08 ((~v84(constB136, bitIndex0)) | v84(constB137, bitIndex0)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15888, 15808])).
% 38.64/25.08 tff(15890,plain,
% 38.64/25.08 (v84(constB137, bitIndex0)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15889, 15881])).
% 38.64/25.08 tff(15891,plain,
% 38.64/25.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15892,plain,
% 38.64/25.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15893,plain,
% 38.64/25.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137)),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 38.64/25.08 tff(15894,plain,
% 38.64/25.08 (v145(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15893, 1356, 15890, 15855, 15817])).
% 38.64/25.08 tff(15895,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB137) | (~v145(constB137)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB137) | (~v145(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15896,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB137) | (~v145(constB137)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15897,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB137) | (~v145(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15896, 15895])).
% 38.64/25.08 tff(15898,plain,
% 38.64/25.08 (v112(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15897, 1367, 15894])).
% 38.64/25.08 tff(15899,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB137) | (~v112(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15900,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB137) | (~v112(constB137)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15901,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB137) | (~v112(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 38.64/25.08 tff(15902,plain,
% 38.64/25.08 (v111(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15901, 292, 15898])).
% 38.64/25.08 tff(15903,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB137) | (~v111(constB137)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB137) | (~v111(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15904,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB137) | (~v111(constB137)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15905,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB137) | (~v111(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15904, 15903])).
% 38.64/25.08 tff(15906,plain,
% 38.64/25.08 (v110(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15905, 303, 15902])).
% 38.64/25.08 tff(15907,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB137) | (~v110(constB137)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB137) | (~v110(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15908,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB137) | (~v110(constB137)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15909,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB137) | (~v110(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15908, 15907])).
% 38.64/25.08 tff(15910,plain,
% 38.64/25.08 (v109(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15909, 314, 15906])).
% 38.64/25.08 tff(15911,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB137) | (~v109(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB137) | (~v109(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15912,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB137) | (~v109(constB137)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15913,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB137) | (~v109(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 38.64/25.08 tff(15914,plain,
% 38.64/25.08 (v108(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15913, 325, 15910])).
% 38.64/25.08 tff(15915,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB137) | (~v108(constB137)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB137) | (~v108(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15916,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB137) | (~v108(constB137)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15917,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB137) | (~v108(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15916, 15915])).
% 38.64/25.08 tff(15918,plain,
% 38.64/25.08 (v107(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15917, 336, 15914])).
% 38.64/25.08 tff(15919,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | v106(constB137) | (~v107(constB137)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15920,plain,
% 38.64/25.08 ((v26(constB137) | (~v107(constB137)) | v106(constB137)) <=> (v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15921,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | v106(constB137) | (~v107(constB137))))),
% 38.64/25.08 inference(monotonicity,[status(thm)],[15920])).
% 38.64/25.08 tff(15922,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 38.64/25.08 inference(transitivity,[status(thm)],[15921, 15919])).
% 38.64/25.08 tff(15923,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15924,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15923, 15922])).
% 38.64/25.08 tff(15925,plain,
% 38.64/25.08 (v26(constB137) | v106(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15924, 350, 15918])).
% 38.64/25.08 tff(15926,plain,
% 38.64/25.08 (v106(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15925, 127])).
% 38.64/25.08 tff(15927,plain,
% 38.64/25.08 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB137) | (~v106(constB137)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB137) | (~v106(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15928,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB137) | (~v106(constB137)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15929,plain,
% 38.64/25.08 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB137) | (~v106(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 38.64/25.08 tff(15930,plain,
% 38.64/25.08 (v102(constB137)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15929, 362, 15926])).
% 38.64/25.08 tff(15931,plain,
% 38.64/25.08 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15932,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 38.64/25.08 tff(15933,plain,
% 38.64/25.08 (nextState(constB137, constB138)),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 38.64/25.08 tff(15934,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15935,plain,
% 38.64/25.08 (((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15936,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))))),
% 38.64/25.08 inference(monotonicity,[status(thm)],[15935])).
% 38.64/25.08 tff(15937,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 38.64/25.08 inference(transitivity,[status(thm)],[15936, 15934])).
% 38.64/25.08 tff(15938,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15939,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15938, 15937])).
% 38.64/25.08 tff(15940,plain,
% 38.64/25.08 (v104(constB138) | (~v102(constB137))),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15939, 379, 15933])).
% 38.64/25.08 tff(15941,plain,
% 38.64/25.08 (v104(constB138)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15940, 15930])).
% 38.64/25.08 tff(15942,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15943,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15944,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15943, 15942])).
% 38.64/25.08 tff(15945,plain,
% 38.64/25.08 (~v98(constB138)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15944, 397, 15933, 15793])).
% 38.64/25.08 tff(15946,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15947,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15948,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138)),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15947, 15946])).
% 38.64/25.08 tff(15949,plain,
% 38.64/25.08 (v96(constB138) | v98(constB138)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15948, 411, 15933])).
% 38.64/25.08 tff(15950,plain,
% 38.64/25.08 (v96(constB138)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15949, 15945])).
% 38.64/25.08 tff(15951,plain,
% 38.64/25.08 (v1(constB138) <=> v1(constB138)),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15952,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 38.64/25.08 tff(15953,plain,
% 38.64/25.08 (v1(constB138)),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 38.64/25.08 tff(15954,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15955,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15956,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138))),
% 38.64/25.08 inference(modus_ponens,[status(thm)],[15955, 15954])).
% 38.64/25.08 tff(15957,plain,
% 38.64/25.08 (v95(constB138) | (~v96(constB138))),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15956, 429, 15933, 15953])).
% 38.64/25.08 tff(15958,plain,
% 38.64/25.08 (v95(constB138)),
% 38.64/25.08 inference(unit_resolution,[status(thm)],[15957, 15950])).
% 38.64/25.08 tff(15959,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15960,plain,
% 38.64/25.08 (((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138)) <=> ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 38.64/25.08 inference(rewrite,[status(thm)],[])).
% 38.64/25.08 tff(15961,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138))))),
% 38.64/25.08 inference(monotonicity,[status(thm)],[15960])).
% 38.64/25.08 tff(15962,plain,
% 38.64/25.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 38.64/25.08 inference(transitivity,[status(thm)],[15961, 15959])).
% 38.64/25.08 tff(15963,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))),
% 38.64/25.08 inference(quant_inst,[status(thm)],[])).
% 38.64/25.08 tff(15964,plain,
% 38.64/25.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138))),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[15963, 15962])).
% 38.64/25.09 tff(15965,plain,
% 38.64/25.09 (v94(constB138) | (~v95(constB138)) | (~v104(constB138))),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15964, 444, 15933])).
% 38.64/25.09 tff(15966,plain,
% 38.64/25.09 (v94(constB138) | (~v104(constB138))),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15965, 15958])).
% 38.64/25.09 tff(15967,plain,
% 38.64/25.09 (v94(constB138)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15966, 15941])).
% 38.64/25.09 tff(15968,plain,
% 38.64/25.09 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB137)) | (~v124(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB137)) | (~v124(constB137, bitIndex2)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(15969,plain,
% 38.64/25.09 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB137)) | (~v124(constB137, bitIndex2)))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(15970,plain,
% 38.64/25.09 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB137)) | (~v124(constB137, bitIndex2))),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 38.64/25.09 tff(15971,plain,
% 38.64/25.09 (~v124(constB137, bitIndex2)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15970, 1451, 15894])).
% 38.64/25.09 tff(15972,plain,
% 38.64/25.09 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(15973,plain,
% 38.64/25.09 ((v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2))) <=> ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(15974,plain,
% 38.64/25.09 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2)))),
% 38.64/25.09 inference(monotonicity,[status(thm)],[15973])).
% 38.64/25.09 tff(15975,plain,
% 38.64/25.09 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 38.64/25.09 inference(transitivity,[status(thm)],[15974, 15972])).
% 38.64/25.09 tff(15976,plain,
% 38.64/25.09 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(15977,plain,
% 38.64/25.09 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2)),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[15976, 15975])).
% 38.64/25.09 tff(15978,plain,
% 38.64/25.09 ((~v121(constB137, bitIndex2)) | v26(constB137)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15977, 1147, 15971])).
% 38.64/25.09 tff(15979,plain,
% 38.64/25.09 (~v121(constB137, bitIndex2)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15978, 127])).
% 38.64/25.09 tff(15980,plain,
% 38.64/25.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(15981,plain,
% 38.64/25.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(15982,plain,
% 38.64/25.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2))),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[15981, 15980])).
% 38.64/25.09 tff(15983,plain,
% 38.64/25.09 (v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2))),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15982, 1165, 15933])).
% 38.64/25.09 tff(15984,plain,
% 38.64/25.09 (~v123(constB138, bitIndex2)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15983, 15979])).
% 38.64/25.09 tff(15985,plain,
% 38.64/25.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(15986,plain,
% 38.64/25.09 (((~v84(constB138, bitIndex2)) | (~v94(constB138)) | v123(constB138, bitIndex2)) <=> ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(15987,plain,
% 38.64/25.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | (~v94(constB138)) | v123(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138))))),
% 38.64/25.09 inference(monotonicity,[status(thm)],[15986])).
% 38.64/25.09 tff(15988,plain,
% 38.64/25.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | (~v94(constB138)) | v123(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 38.64/25.09 inference(transitivity,[status(thm)],[15987, 15985])).
% 38.64/25.09 tff(15989,plain,
% 38.64/25.09 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | (~v94(constB138)) | v123(constB138, bitIndex2))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(15990,plain,
% 38.64/25.09 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138))),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 38.64/25.09 tff(15991,plain,
% 38.64/25.09 ((~v84(constB138, bitIndex2)) | (~v94(constB138))),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15990, 1180, 15984])).
% 38.64/25.09 tff(15992,plain,
% 38.64/25.09 (~v84(constB138, bitIndex2)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[15991, 15967])).
% 38.64/25.09 tff(15993,plain,
% 38.64/25.09 ((~v1(constB139)) <=> (~v1(constB139))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(15994,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 38.64/25.09 tff(15995,plain,
% 38.64/25.09 (~v1(constB139)),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[15994, 15993])).
% 38.64/25.09 tff(15996,plain,
% 38.64/25.09 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(15997,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 38.64/25.09 tff(15998,plain,
% 38.64/25.09 (nextState(constB138, constB139)),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[15997, 15996])).
% 38.64/25.09 tff(15999,plain,
% 38.64/25.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(16000,plain,
% 38.64/25.09 (((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(16001,plain,
% 38.64/25.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))))),
% 38.64/25.09 inference(monotonicity,[status(thm)],[16000])).
% 38.64/25.09 tff(16002,plain,
% 38.64/25.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 38.64/25.09 inference(transitivity,[status(thm)],[16001, 15999])).
% 38.64/25.09 tff(16003,plain,
% 38.64/25.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(16004,plain,
% 38.64/25.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[16003, 16002])).
% 38.64/25.09 tff(16005,plain,
% 38.64/25.09 (~v95(constB139)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16004, 175, 15998, 15995])).
% 38.64/25.09 tff(16006,plain,
% 38.64/25.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(16007,plain,
% 38.64/25.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(16008,plain,
% 38.64/25.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139))),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[16007, 16006])).
% 38.64/25.09 tff(16009,plain,
% 38.64/25.09 (v95(constB139) | (~v94(constB139))),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16008, 192, 15998])).
% 38.64/25.09 tff(16010,plain,
% 38.64/25.09 (~v94(constB139)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16009, 16005])).
% 38.64/25.09 tff(16011,plain,
% 38.64/25.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(16012,plain,
% 38.64/25.09 (((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2))) <=> (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(16013,plain,
% 38.64/25.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2))))),
% 38.64/25.09 inference(monotonicity,[status(thm)],[16012])).
% 38.64/25.09 tff(16014,plain,
% 38.64/25.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 38.64/25.09 inference(transitivity,[status(thm)],[16013, 16011])).
% 38.64/25.09 tff(16015,plain,
% 38.64/25.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(16016,plain,
% 38.64/25.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2))),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 38.64/25.09 tff(16017,plain,
% 38.64/25.09 (v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2))),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16016, 207, 15998])).
% 38.64/25.09 tff(16018,plain,
% 38.64/25.09 (v84(constB138, bitIndex2) | (~v84(constB139, bitIndex2))),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16017, 16010])).
% 38.64/25.09 tff(16019,plain,
% 38.64/25.09 (~v84(constB139, bitIndex2)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16018, 15992])).
% 38.64/25.09 tff(16020,plain,
% 38.64/25.09 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB137)) | v124(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB137)) | v124(constB137, bitIndex1))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(16021,plain,
% 38.64/25.09 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB137)) | v124(constB137, bitIndex1))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(16022,plain,
% 38.64/25.09 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB137)) | v124(constB137, bitIndex1)),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[16021, 16020])).
% 38.64/25.09 tff(16023,plain,
% 38.64/25.09 (v124(constB137, bitIndex1)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16022, 1513, 15894])).
% 38.64/25.09 tff(16024,plain,
% 38.64/25.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))),
% 38.64/25.09 inference(rewrite,[status(thm)],[])).
% 38.64/25.09 tff(16025,plain,
% 38.64/25.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))),
% 38.64/25.09 inference(quant_inst,[status(thm)],[])).
% 38.64/25.09 tff(16026,plain,
% 38.64/25.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1)),
% 38.64/25.09 inference(modus_ponens,[status(thm)],[16025, 16024])).
% 38.64/25.09 tff(16027,plain,
% 38.64/25.09 (v26(constB137) | v121(constB137, bitIndex1)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16026, 875, 16023])).
% 38.64/25.09 tff(16028,plain,
% 38.64/25.09 (v121(constB137, bitIndex1)),
% 38.64/25.09 inference(unit_resolution,[status(thm)],[16027, 127])).
% 38.64/25.09 tff(16029,plain,
% 38.64/25.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16030,plain,
% 38.64/25.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))),
% 38.64/25.10 inference(quant_inst,[status(thm)],[])).
% 38.64/25.10 tff(16031,plain,
% 38.64/25.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1)),
% 38.64/25.10 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 38.64/25.10 tff(16032,plain,
% 38.64/25.10 ((~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16031, 890, 15933])).
% 38.64/25.10 tff(16033,plain,
% 38.64/25.10 (v123(constB138, bitIndex1)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16032, 16028])).
% 38.64/25.10 tff(16034,plain,
% 38.64/25.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16035,plain,
% 38.64/25.10 ((v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1))) <=> (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16036,plain,
% 38.64/25.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138))))),
% 38.64/25.10 inference(monotonicity,[status(thm)],[16035])).
% 38.64/25.10 tff(16037,plain,
% 38.64/25.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 38.64/25.10 inference(transitivity,[status(thm)],[16036, 16034])).
% 38.64/25.10 tff(16038,plain,
% 38.64/25.10 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))),
% 38.64/25.10 inference(quant_inst,[status(thm)],[])).
% 38.64/25.10 tff(16039,plain,
% 38.64/25.10 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138))),
% 38.64/25.10 inference(modus_ponens,[status(thm)],[16038, 16037])).
% 38.64/25.10 tff(16040,plain,
% 38.64/25.10 (v84(constB138, bitIndex1) | (~v94(constB138))),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16039, 905, 16033])).
% 38.64/25.10 tff(16041,plain,
% 38.64/25.10 (v84(constB138, bitIndex1)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16040, 15967])).
% 38.64/25.10 tff(16042,plain,
% 38.64/25.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16043,plain,
% 38.64/25.10 (((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1)) <=> ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16044,plain,
% 38.64/25.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1)))),
% 38.64/25.10 inference(monotonicity,[status(thm)],[16043])).
% 38.64/25.10 tff(16045,plain,
% 38.64/25.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 38.64/25.10 inference(transitivity,[status(thm)],[16044, 16042])).
% 38.64/25.10 tff(16046,plain,
% 38.64/25.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))),
% 38.64/25.10 inference(quant_inst,[status(thm)],[])).
% 38.64/25.10 tff(16047,plain,
% 38.64/25.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1)),
% 38.64/25.10 inference(modus_ponens,[status(thm)],[16046, 16045])).
% 38.64/25.10 tff(16048,plain,
% 38.64/25.10 ((~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16047, 923, 15998])).
% 38.64/25.10 tff(16049,plain,
% 38.64/25.10 ((~v84(constB138, bitIndex1)) | v84(constB139, bitIndex1)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16048, 16010])).
% 38.64/25.10 tff(16050,plain,
% 38.64/25.10 (v84(constB139, bitIndex1)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16049, 16041])).
% 38.64/25.10 tff(16051,plain,
% 38.64/25.10 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB137)) | (~v124(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB137)) | (~v124(constB137, bitIndex0)))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16052,plain,
% 38.64/25.10 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB137)) | (~v124(constB137, bitIndex0)))),
% 38.64/25.10 inference(quant_inst,[status(thm)],[])).
% 38.64/25.10 tff(16053,plain,
% 38.64/25.10 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB137)) | (~v124(constB137, bitIndex0))),
% 38.64/25.10 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 38.64/25.10 tff(16054,plain,
% 38.64/25.10 (~v124(constB137, bitIndex0)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16053, 1554, 15894])).
% 38.64/25.10 tff(16055,plain,
% 38.64/25.10 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16056,plain,
% 38.64/25.10 ((v26(constB137) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0))) <=> ((~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16057,plain,
% 38.64/25.10 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB137) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0)))),
% 38.64/25.10 inference(monotonicity,[status(thm)],[16056])).
% 38.64/25.10 tff(16058,plain,
% 38.64/25.10 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB137) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0))),
% 38.64/25.10 inference(transitivity,[status(thm)],[16057, 16055])).
% 38.64/25.10 tff(16059,plain,
% 38.64/25.10 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB137) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))),
% 38.64/25.10 inference(quant_inst,[status(thm)],[])).
% 38.64/25.10 tff(16060,plain,
% 38.64/25.10 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB137, bitIndex0)) | v26(constB137) | v124(constB137, bitIndex0)),
% 38.64/25.10 inference(modus_ponens,[status(thm)],[16059, 16058])).
% 38.64/25.10 tff(16061,plain,
% 38.64/25.10 ((~v121(constB137, bitIndex0)) | v26(constB137)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16060, 650, 16054])).
% 38.64/25.10 tff(16062,plain,
% 38.64/25.10 (~v121(constB137, bitIndex0)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16061, 127])).
% 38.64/25.10 tff(16063,plain,
% 38.64/25.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16064,plain,
% 38.64/25.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))),
% 38.64/25.10 inference(quant_inst,[status(thm)],[])).
% 38.64/25.10 tff(16065,plain,
% 38.64/25.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0))),
% 38.64/25.10 inference(modus_ponens,[status(thm)],[16064, 16063])).
% 38.64/25.10 tff(16066,plain,
% 38.64/25.10 (v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0))),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16065, 668, 15933])).
% 38.64/25.10 tff(16067,plain,
% 38.64/25.10 (~v123(constB138, bitIndex0)),
% 38.64/25.10 inference(unit_resolution,[status(thm)],[16066, 16062])).
% 38.64/25.10 tff(16068,plain,
% 38.64/25.10 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16069,plain,
% 38.64/25.10 (((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0)) <=> ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 38.64/25.10 inference(rewrite,[status(thm)],[])).
% 38.64/25.10 tff(16070,plain,
% 38.64/25.10 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138))))),
% 38.64/25.10 inference(monotonicity,[status(thm)],[16069])).
% 38.64/25.11 tff(16071,plain,
% 38.64/25.11 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 38.64/25.11 inference(transitivity,[status(thm)],[16070, 16068])).
% 38.64/25.11 tff(16072,plain,
% 38.64/25.11 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16073,plain,
% 38.64/25.11 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16072, 16071])).
% 38.64/25.11 tff(16074,plain,
% 38.64/25.11 ((~v84(constB138, bitIndex0)) | (~v94(constB138))),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16073, 683, 16067])).
% 38.64/25.11 tff(16075,plain,
% 38.64/25.11 (~v84(constB138, bitIndex0)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16074, 15967])).
% 38.64/25.11 tff(16076,plain,
% 38.64/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16077,plain,
% 38.64/25.11 (((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0))) <=> (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16078,plain,
% 38.64/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0))))),
% 38.64/25.11 inference(monotonicity,[status(thm)],[16077])).
% 38.64/25.11 tff(16079,plain,
% 38.64/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 38.64/25.11 inference(transitivity,[status(thm)],[16078, 16076])).
% 38.64/25.11 tff(16080,plain,
% 38.64/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16081,plain,
% 38.64/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16080, 16079])).
% 38.64/25.11 tff(16082,plain,
% 38.64/25.11 (v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0))),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16081, 249, 15998])).
% 38.64/25.11 tff(16083,plain,
% 38.64/25.11 (v84(constB138, bitIndex0) | (~v84(constB139, bitIndex0))),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16082, 16010])).
% 38.64/25.11 tff(16084,plain,
% 38.64/25.11 (~v84(constB139, bitIndex0)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16083, 16075])).
% 38.64/25.11 tff(16085,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16086,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16087,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139)),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16086, 16085])).
% 38.64/25.11 tff(16088,plain,
% 38.64/25.11 (v115(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16087, 1598, 16084, 16050, 16019])).
% 38.64/25.11 tff(16089,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB139) | (~v115(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16090,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB139) | (~v115(constB139)))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16091,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB139) | (~v115(constB139))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 38.64/25.11 tff(16092,plain,
% 38.64/25.11 (v111(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16091, 1609, 16088])).
% 38.64/25.11 tff(16093,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB139) | (~v111(constB139)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB139) | (~v111(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16094,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB139) | (~v111(constB139)))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16095,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB139) | (~v111(constB139))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16094, 16093])).
% 38.64/25.11 tff(16096,plain,
% 38.64/25.11 (v110(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16095, 303, 16092])).
% 38.64/25.11 tff(16097,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB139) | (~v110(constB139)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB139) | (~v110(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16098,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB139) | (~v110(constB139)))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16099,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB139) | (~v110(constB139))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16098, 16097])).
% 38.64/25.11 tff(16100,plain,
% 38.64/25.11 (v109(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16099, 314, 16096])).
% 38.64/25.11 tff(16101,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB139) | (~v109(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB139) | (~v109(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16102,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB139) | (~v109(constB139)))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16103,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB139) | (~v109(constB139))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 38.64/25.11 tff(16104,plain,
% 38.64/25.11 (v108(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16103, 325, 16100])).
% 38.64/25.11 tff(16105,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB139) | (~v108(constB139)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB139) | (~v108(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16106,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB139) | (~v108(constB139)))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16107,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB139) | (~v108(constB139))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16106, 16105])).
% 38.64/25.11 tff(16108,plain,
% 38.64/25.11 (v107(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16107, 336, 16104])).
% 38.64/25.11 tff(16109,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16110,plain,
% 38.64/25.11 ((v26(constB139) | (~v107(constB139)) | v106(constB139)) <=> (v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16111,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139))))),
% 38.64/25.11 inference(monotonicity,[status(thm)],[16110])).
% 38.64/25.11 tff(16112,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 38.64/25.11 inference(transitivity,[status(thm)],[16111, 16109])).
% 38.64/25.11 tff(16113,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16114,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16113, 16112])).
% 38.64/25.11 tff(16115,plain,
% 38.64/25.11 (v26(constB139) | v106(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16114, 350, 16108])).
% 38.64/25.11 tff(16116,plain,
% 38.64/25.11 (v106(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16115, 123])).
% 38.64/25.11 tff(16117,plain,
% 38.64/25.11 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB139) | (~v106(constB139)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB139) | (~v106(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16118,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB139) | (~v106(constB139)))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16119,plain,
% 38.64/25.11 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB139) | (~v106(constB139))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16118, 16117])).
% 38.64/25.11 tff(16120,plain,
% 38.64/25.11 (v102(constB139)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16119, 362, 16116])).
% 38.64/25.11 tff(16121,plain,
% 38.64/25.11 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16122,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 38.64/25.11 tff(16123,plain,
% 38.64/25.11 (nextState(constB139, constB140)),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16122, 16121])).
% 38.64/25.11 tff(16124,plain,
% 38.64/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16125,plain,
% 38.64/25.11 (((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16126,plain,
% 38.64/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))))),
% 38.64/25.11 inference(monotonicity,[status(thm)],[16125])).
% 38.64/25.11 tff(16127,plain,
% 38.64/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 38.64/25.11 inference(transitivity,[status(thm)],[16126, 16124])).
% 38.64/25.11 tff(16128,plain,
% 38.64/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16129,plain,
% 38.64/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16128, 16127])).
% 38.64/25.11 tff(16130,plain,
% 38.64/25.11 (v104(constB140) | (~v102(constB139))),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16129, 379, 16123])).
% 38.64/25.11 tff(16131,plain,
% 38.64/25.11 (v104(constB140)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16130, 16120])).
% 38.64/25.11 tff(16132,plain,
% 38.64/25.11 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16133,plain,
% 38.64/25.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16134,plain,
% 38.64/25.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140))),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16133, 16132])).
% 38.64/25.11 tff(16135,plain,
% 38.64/25.11 (~v98(constB140)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16134, 397, 16123, 15995])).
% 38.64/25.11 tff(16136,plain,
% 38.64/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 38.64/25.11 inference(rewrite,[status(thm)],[])).
% 38.64/25.11 tff(16137,plain,
% 38.64/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 38.64/25.11 inference(quant_inst,[status(thm)],[])).
% 38.64/25.11 tff(16138,plain,
% 38.64/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140)),
% 38.64/25.11 inference(modus_ponens,[status(thm)],[16137, 16136])).
% 38.64/25.11 tff(16139,plain,
% 38.64/25.11 (v96(constB140) | v98(constB140)),
% 38.64/25.11 inference(unit_resolution,[status(thm)],[16138, 411, 16123])).
% 38.72/25.11 tff(16140,plain,
% 38.72/25.11 (v96(constB140)),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16139, 16135])).
% 38.72/25.11 tff(16141,plain,
% 38.72/25.11 (v1(constB140) <=> v1(constB140)),
% 38.72/25.11 inference(rewrite,[status(thm)],[])).
% 38.72/25.11 tff(16142,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 38.72/25.11 tff(16143,plain,
% 38.72/25.11 (v1(constB140)),
% 38.72/25.11 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 38.72/25.11 tff(16144,plain,
% 38.72/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 38.72/25.11 inference(rewrite,[status(thm)],[])).
% 38.72/25.11 tff(16145,plain,
% 38.72/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 38.72/25.11 inference(quant_inst,[status(thm)],[])).
% 38.72/25.11 tff(16146,plain,
% 38.72/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140))),
% 38.72/25.11 inference(modus_ponens,[status(thm)],[16145, 16144])).
% 38.72/25.11 tff(16147,plain,
% 38.72/25.11 (v95(constB140) | (~v96(constB140))),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16146, 429, 16123, 16143])).
% 38.72/25.11 tff(16148,plain,
% 38.72/25.11 (v95(constB140)),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16147, 16140])).
% 38.72/25.11 tff(16149,plain,
% 38.72/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 38.72/25.11 inference(rewrite,[status(thm)],[])).
% 38.72/25.11 tff(16150,plain,
% 38.72/25.11 (((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140)) <=> ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 38.72/25.11 inference(rewrite,[status(thm)],[])).
% 38.72/25.11 tff(16151,plain,
% 38.72/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140))))),
% 38.72/25.11 inference(monotonicity,[status(thm)],[16150])).
% 38.72/25.11 tff(16152,plain,
% 38.72/25.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 38.72/25.11 inference(transitivity,[status(thm)],[16151, 16149])).
% 38.72/25.11 tff(16153,plain,
% 38.72/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))),
% 38.72/25.11 inference(quant_inst,[status(thm)],[])).
% 38.72/25.11 tff(16154,plain,
% 38.72/25.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140))),
% 38.72/25.11 inference(modus_ponens,[status(thm)],[16153, 16152])).
% 38.72/25.11 tff(16155,plain,
% 38.72/25.11 (v94(constB140) | (~v95(constB140)) | (~v104(constB140))),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16154, 444, 16123])).
% 38.72/25.11 tff(16156,plain,
% 38.72/25.11 (v94(constB140) | (~v104(constB140))),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16155, 16148])).
% 38.72/25.11 tff(16157,plain,
% 38.72/25.11 (v94(constB140)),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16156, 16131])).
% 38.72/25.11 tff(16158,assumption,(v121(constB139, bitIndex2)), introduced(assumption)).
% 38.72/25.11 tff(16159,plain,
% 38.72/25.11 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB139)) | (~v124(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 38.72/25.11 inference(rewrite,[status(thm)],[])).
% 38.72/25.11 tff(16160,plain,
% 38.72/25.11 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 38.72/25.11 inference(quant_inst,[status(thm)],[])).
% 38.72/25.11 tff(16161,plain,
% 38.72/25.11 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB139)) | (~v124(constB139, bitIndex2))),
% 38.72/25.11 inference(modus_ponens,[status(thm)],[16160, 16159])).
% 38.72/25.11 tff(16162,plain,
% 38.72/25.11 (~v124(constB139, bitIndex2)),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16161, 1688, 16088])).
% 38.72/25.11 tff(16163,plain,
% 38.72/25.11 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 38.72/25.11 inference(rewrite,[status(thm)],[])).
% 38.72/25.11 tff(16164,plain,
% 38.72/25.11 ((v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2))) <=> ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 38.72/25.11 inference(rewrite,[status(thm)],[])).
% 38.72/25.11 tff(16165,plain,
% 38.72/25.11 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2)))),
% 38.72/25.11 inference(monotonicity,[status(thm)],[16164])).
% 38.72/25.11 tff(16166,plain,
% 38.72/25.11 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 38.72/25.11 inference(transitivity,[status(thm)],[16165, 16163])).
% 38.72/25.11 tff(16167,plain,
% 38.72/25.11 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))),
% 38.72/25.11 inference(quant_inst,[status(thm)],[])).
% 38.72/25.11 tff(16168,plain,
% 38.72/25.11 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2)),
% 38.72/25.11 inference(modus_ponens,[status(thm)],[16167, 16166])).
% 38.72/25.11 tff(16169,plain,
% 38.72/25.11 ((~v121(constB139, bitIndex2)) | v26(constB139)),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16168, 1147, 16162])).
% 38.72/25.11 tff(16170,plain,
% 38.72/25.11 (v26(constB139)),
% 38.72/25.11 inference(unit_resolution,[status(thm)],[16169, 16158])).
% 38.72/25.11 tff(16171,plain,
% 38.72/25.11 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))))),
% 38.72/25.11 inference(bind,[status(th)],[])).
% 38.72/25.11 tff(16172,plain,
% 38.72/25.11 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 38.72/25.11 inference(quant_intro,[status(thm)],[16171])).
% 38.72/25.11 tff(16173,plain,
% 38.72/25.11 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 38.72/25.11 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16174,plain,
% 38.72/25.12 (^[VarCurr: $i] : rewrite(((~v121(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))))),
% 38.72/25.12 inference(bind,[status(th)],[])).
% 38.72/25.12 tff(16175,plain,
% 38.72/25.12 (![VarCurr: $i] : ((~v121(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 38.72/25.12 inference(quant_intro,[status(thm)],[16174])).
% 38.72/25.12 tff(16176,axiom,(![VarCurr: $i] : ((~v121(VarCurr, bitIndex2)) | (~v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 38.72/25.12 tff(16177,plain,
% 38.72/25.12 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 38.72/25.12 tff(16178,plain,
% 38.72/25.12 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16177, 16173])).
% 38.72/25.12 tff(16179,plain,(
% 38.72/25.12 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 38.72/25.12 inference(skolemize,[status(sab)],[16178])).
% 38.72/25.12 tff(16180,plain,
% 38.72/25.12 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16179, 16172])).
% 38.72/25.12 tff(16181,plain,
% 38.72/25.12 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB139)) | (~v121(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB139)) | (~v121(constB139, bitIndex2)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16182,plain,
% 38.72/25.12 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB139)) | (~v121(constB139, bitIndex2)))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16183,plain,
% 38.72/25.12 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB139)) | (~v121(constB139, bitIndex2))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16182, 16181])).
% 38.72/25.12 tff(16184,plain,
% 38.72/25.12 ($false),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16183, 16180, 16158, 16170])).
% 38.72/25.12 tff(16185,plain,(~v121(constB139, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 38.72/25.12 tff(16186,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16187,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16188,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 38.72/25.12 tff(16189,plain,
% 38.72/25.12 (v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2))),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16188, 1165, 16123])).
% 38.72/25.12 tff(16190,plain,
% 38.72/25.12 (~v123(constB140, bitIndex2)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16189, 16185])).
% 38.72/25.12 tff(16191,plain,
% 38.72/25.12 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16192,plain,
% 38.72/25.12 (((~v84(constB140, bitIndex2)) | (~v94(constB140)) | v123(constB140, bitIndex2)) <=> ((~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16193,plain,
% 38.72/25.12 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~v94(constB140)) | v123(constB140, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140))))),
% 38.72/25.12 inference(monotonicity,[status(thm)],[16192])).
% 38.72/25.12 tff(16194,plain,
% 38.72/25.12 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~v94(constB140)) | v123(constB140, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))),
% 38.72/25.12 inference(transitivity,[status(thm)],[16193, 16191])).
% 38.72/25.12 tff(16195,plain,
% 38.72/25.12 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~v94(constB140)) | v123(constB140, bitIndex2))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16196,plain,
% 38.72/25.12 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16195, 16194])).
% 38.72/25.12 tff(16197,plain,
% 38.72/25.12 ((~v84(constB140, bitIndex2)) | (~v94(constB140))),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16196, 1180, 16190])).
% 38.72/25.12 tff(16198,plain,
% 38.72/25.12 (~v84(constB140, bitIndex2)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16197, 16157])).
% 38.72/25.12 tff(16199,plain,
% 38.72/25.12 ((~v1(constB141)) <=> (~v1(constB141))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16200,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 38.72/25.12 tff(16201,plain,
% 38.72/25.12 (~v1(constB141)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 38.72/25.12 tff(16202,plain,
% 38.72/25.12 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16203,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 38.72/25.12 tff(16204,plain,
% 38.72/25.12 (nextState(constB140, constB141)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16203, 16202])).
% 38.72/25.12 tff(16205,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16206,plain,
% 38.72/25.12 (((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16207,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))))),
% 38.72/25.12 inference(monotonicity,[status(thm)],[16206])).
% 38.72/25.12 tff(16208,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 38.72/25.12 inference(transitivity,[status(thm)],[16207, 16205])).
% 38.72/25.12 tff(16209,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16210,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16209, 16208])).
% 38.72/25.12 tff(16211,plain,
% 38.72/25.12 (~v95(constB141)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16210, 175, 16204, 16201])).
% 38.72/25.12 tff(16212,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16213,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16214,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16213, 16212])).
% 38.72/25.12 tff(16215,plain,
% 38.72/25.12 (v95(constB141) | (~v94(constB141))),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16214, 192, 16204])).
% 38.72/25.12 tff(16216,plain,
% 38.72/25.12 (~v94(constB141)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16215, 16211])).
% 38.72/25.12 tff(16217,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16218,plain,
% 38.72/25.12 (((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2))) <=> (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16219,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2))))),
% 38.72/25.12 inference(monotonicity,[status(thm)],[16218])).
% 38.72/25.12 tff(16220,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 38.72/25.12 inference(transitivity,[status(thm)],[16219, 16217])).
% 38.72/25.12 tff(16221,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16222,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16221, 16220])).
% 38.72/25.12 tff(16223,plain,
% 38.72/25.12 (v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2))),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16222, 207, 16204])).
% 38.72/25.12 tff(16224,plain,
% 38.72/25.12 (v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2))),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16223, 16216])).
% 38.72/25.12 tff(16225,plain,
% 38.72/25.12 (~v84(constB141, bitIndex2)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16224, 16198])).
% 38.72/25.12 tff(16226,plain,
% 38.72/25.12 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB139)) | v124(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB139)) | v124(constB139, bitIndex1))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16227,plain,
% 38.72/25.12 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB139)) | v124(constB139, bitIndex1))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16228,plain,
% 38.72/25.12 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB139)) | v124(constB139, bitIndex1)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16227, 16226])).
% 38.72/25.12 tff(16229,plain,
% 38.72/25.12 (v124(constB139, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16228, 1750, 16088])).
% 38.72/25.12 tff(16230,plain,
% 38.72/25.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16231,plain,
% 38.72/25.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16232,plain,
% 38.72/25.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 38.72/25.12 tff(16233,plain,
% 38.72/25.12 (v26(constB139) | v121(constB139, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16232, 875, 16229])).
% 38.72/25.12 tff(16234,plain,
% 38.72/25.12 (v121(constB139, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16233, 123])).
% 38.72/25.12 tff(16235,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16236,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16237,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 38.72/25.12 tff(16238,plain,
% 38.72/25.12 ((~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16237, 890, 16123])).
% 38.72/25.12 tff(16239,plain,
% 38.72/25.12 (v123(constB140, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16238, 16234])).
% 38.72/25.12 tff(16240,plain,
% 38.72/25.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16241,plain,
% 38.72/25.12 ((v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1))) <=> (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16242,plain,
% 38.72/25.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140))))),
% 38.72/25.12 inference(monotonicity,[status(thm)],[16241])).
% 38.72/25.12 tff(16243,plain,
% 38.72/25.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 38.72/25.12 inference(transitivity,[status(thm)],[16242, 16240])).
% 38.72/25.12 tff(16244,plain,
% 38.72/25.12 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16245,plain,
% 38.72/25.12 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16244, 16243])).
% 38.72/25.12 tff(16246,plain,
% 38.72/25.12 (v84(constB140, bitIndex1) | (~v94(constB140))),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16245, 905, 16239])).
% 38.72/25.12 tff(16247,plain,
% 38.72/25.12 (v84(constB140, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16246, 16157])).
% 38.72/25.12 tff(16248,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16249,plain,
% 38.72/25.12 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1)) <=> ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16250,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1)))),
% 38.72/25.12 inference(monotonicity,[status(thm)],[16249])).
% 38.72/25.12 tff(16251,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 38.72/25.12 inference(transitivity,[status(thm)],[16250, 16248])).
% 38.72/25.12 tff(16252,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16253,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16252, 16251])).
% 38.72/25.12 tff(16254,plain,
% 38.72/25.12 ((~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16253, 923, 16204])).
% 38.72/25.12 tff(16255,plain,
% 38.72/25.12 ((~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16254, 16216])).
% 38.72/25.12 tff(16256,plain,
% 38.72/25.12 (v84(constB141, bitIndex1)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16255, 16247])).
% 38.72/25.12 tff(16257,plain,
% 38.72/25.12 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB139)) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB139)) | v124(constB139, bitIndex0))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16258,plain,
% 38.72/25.12 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB139)) | v124(constB139, bitIndex0))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16259,plain,
% 38.72/25.12 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB139)) | v124(constB139, bitIndex0)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16258, 16257])).
% 38.72/25.12 tff(16260,plain,
% 38.72/25.12 (v124(constB139, bitIndex0)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16259, 1791, 16088])).
% 38.72/25.12 tff(16261,plain,
% 38.72/25.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16262,plain,
% 38.72/25.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16263,plain,
% 38.72/25.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16262, 16261])).
% 38.72/25.12 tff(16264,plain,
% 38.72/25.12 (v26(constB139) | v121(constB139, bitIndex0)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16263, 1289, 16260])).
% 38.72/25.12 tff(16265,plain,
% 38.72/25.12 (v121(constB139, bitIndex0)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16264, 123])).
% 38.72/25.12 tff(16266,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16267,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16268,plain,
% 38.72/25.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0)),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16267, 16266])).
% 38.72/25.12 tff(16269,plain,
% 38.72/25.12 ((~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16268, 1304, 16123])).
% 38.72/25.12 tff(16270,plain,
% 38.72/25.12 (v123(constB140, bitIndex0)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16269, 16265])).
% 38.72/25.12 tff(16271,plain,
% 38.72/25.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16272,plain,
% 38.72/25.12 ((v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0))) <=> (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16273,plain,
% 38.72/25.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140))))),
% 38.72/25.12 inference(monotonicity,[status(thm)],[16272])).
% 38.72/25.12 tff(16274,plain,
% 38.72/25.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 38.72/25.12 inference(transitivity,[status(thm)],[16273, 16271])).
% 38.72/25.12 tff(16275,plain,
% 38.72/25.12 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))),
% 38.72/25.12 inference(quant_inst,[status(thm)],[])).
% 38.72/25.12 tff(16276,plain,
% 38.72/25.12 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140))),
% 38.72/25.12 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 38.72/25.12 tff(16277,plain,
% 38.72/25.12 (v84(constB140, bitIndex0) | (~v94(constB140))),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16276, 1319, 16270])).
% 38.72/25.12 tff(16278,plain,
% 38.72/25.12 (v84(constB140, bitIndex0)),
% 38.72/25.12 inference(unit_resolution,[status(thm)],[16277, 16157])).
% 38.72/25.12 tff(16279,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16280,plain,
% 38.72/25.12 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0)) <=> ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 38.72/25.12 inference(rewrite,[status(thm)],[])).
% 38.72/25.12 tff(16281,plain,
% 38.72/25.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0)))),
% 38.72/25.12 inference(monotonicity,[status(thm)],[16280])).
% 38.72/25.13 tff(16282,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 38.72/25.13 inference(transitivity,[status(thm)],[16281, 16279])).
% 38.72/25.13 tff(16283,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16284,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16283, 16282])).
% 38.72/25.13 tff(16285,plain,
% 38.72/25.13 ((~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16284, 1337, 16204])).
% 38.72/25.13 tff(16286,plain,
% 38.72/25.13 ((~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16285, 16216])).
% 38.72/25.13 tff(16287,plain,
% 38.72/25.13 (v84(constB141, bitIndex0)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16286, 16278])).
% 38.72/25.13 tff(16288,plain,
% 38.72/25.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16289,plain,
% 38.72/25.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16290,plain,
% 38.72/25.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16289, 16288])).
% 38.72/25.13 tff(16291,plain,
% 38.72/25.13 (v116(constB141)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16290, 1832, 16287, 16256, 16225])).
% 38.72/25.13 tff(16292,plain,
% 38.72/25.13 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB141) | (~v116(constB141)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16293,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB141) | (~v116(constB141)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16294,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB141) | (~v116(constB141))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16293, 16292])).
% 38.72/25.13 tff(16295,plain,
% 38.72/25.13 (v110(constB141)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16294, 1843, 16291])).
% 38.72/25.13 tff(16296,plain,
% 38.72/25.13 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB141) | (~v110(constB141)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB141) | (~v110(constB141)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16297,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB141) | (~v110(constB141)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16298,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB141) | (~v110(constB141))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16297, 16296])).
% 38.72/25.13 tff(16299,plain,
% 38.72/25.13 (v109(constB141)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16298, 314, 16295])).
% 38.72/25.13 tff(16300,plain,
% 38.72/25.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB141) | (~v109(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB141) | (~v109(constB141)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16301,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB141) | (~v109(constB141)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16302,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB141) | (~v109(constB141))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 38.72/25.13 tff(16303,plain,
% 38.72/25.13 (v108(constB141)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16302, 325, 16299])).
% 38.72/25.13 tff(16304,plain,
% 38.72/25.13 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB141) | (~v108(constB141)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB141) | (~v108(constB141)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16305,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB141) | (~v108(constB141)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16306,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB141) | (~v108(constB141))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16305, 16304])).
% 38.72/25.13 tff(16307,plain,
% 38.72/25.13 (v107(constB141)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16306, 336, 16303])).
% 38.72/25.13 tff(16308,assumption,(v26(constB141)), introduced(assumption)).
% 38.72/25.13 tff(16309,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16310,plain,
% 38.72/25.13 ($false),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16309, 120, 16308])).
% 38.72/25.13 tff(16311,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 38.72/25.13 tff(16312,plain,
% 38.72/25.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16313,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16314,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | (~v107(constB141)) | v106(constB141)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16313, 16312])).
% 38.72/25.13 tff(16315,plain,
% 38.72/25.13 ((~v107(constB141)) | v106(constB141)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16314, 350, 16311])).
% 38.72/25.13 tff(16316,plain,
% 38.72/25.13 (v106(constB141)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16315, 16307])).
% 38.72/25.13 tff(16317,plain,
% 38.72/25.13 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB141) | (~v106(constB141)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB141) | (~v106(constB141)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16318,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB141) | (~v106(constB141)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16319,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB141) | (~v106(constB141))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 38.72/25.13 tff(16320,plain,
% 38.72/25.13 (v102(constB141)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16319, 362, 16316])).
% 38.72/25.13 tff(16321,plain,
% 38.72/25.13 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16322,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 38.72/25.13 tff(16323,plain,
% 38.72/25.13 (nextState(constB141, constB142)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 38.72/25.13 tff(16324,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16325,plain,
% 38.72/25.13 (((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16326,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))))),
% 38.72/25.13 inference(monotonicity,[status(thm)],[16325])).
% 38.72/25.13 tff(16327,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 38.72/25.13 inference(transitivity,[status(thm)],[16326, 16324])).
% 38.72/25.13 tff(16328,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16329,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16328, 16327])).
% 38.72/25.13 tff(16330,plain,
% 38.72/25.13 (v104(constB142) | (~v102(constB141))),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16329, 379, 16323])).
% 38.72/25.13 tff(16331,plain,
% 38.72/25.13 (v104(constB142)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16330, 16320])).
% 38.72/25.13 tff(16332,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16333,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16334,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16333, 16332])).
% 38.72/25.13 tff(16335,plain,
% 38.72/25.13 (~v98(constB142)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16334, 397, 16323, 16201])).
% 38.72/25.13 tff(16336,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16337,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16338,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16337, 16336])).
% 38.72/25.13 tff(16339,plain,
% 38.72/25.13 (v96(constB142) | v98(constB142)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16338, 411, 16323])).
% 38.72/25.13 tff(16340,plain,
% 38.72/25.13 (v96(constB142)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16339, 16335])).
% 38.72/25.13 tff(16341,plain,
% 38.72/25.13 (v1(constB142) <=> v1(constB142)),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16342,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 38.72/25.13 tff(16343,plain,
% 38.72/25.13 (v1(constB142)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16342, 16341])).
% 38.72/25.13 tff(16344,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16345,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16346,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16345, 16344])).
% 38.72/25.13 tff(16347,plain,
% 38.72/25.13 (v95(constB142) | (~v96(constB142))),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16346, 429, 16323, 16343])).
% 38.72/25.13 tff(16348,plain,
% 38.72/25.13 (v95(constB142)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16347, 16340])).
% 38.72/25.13 tff(16349,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16350,plain,
% 38.72/25.13 (((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142)) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16351,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142))))),
% 38.72/25.13 inference(monotonicity,[status(thm)],[16350])).
% 38.72/25.13 tff(16352,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 38.72/25.13 inference(transitivity,[status(thm)],[16351, 16349])).
% 38.72/25.13 tff(16353,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16354,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16353, 16352])).
% 38.72/25.13 tff(16355,plain,
% 38.72/25.13 (v94(constB142) | (~v95(constB142)) | (~v104(constB142))),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16354, 444, 16323])).
% 38.72/25.13 tff(16356,plain,
% 38.72/25.13 (v94(constB142) | (~v104(constB142))),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16355, 16348])).
% 38.72/25.13 tff(16357,plain,
% 38.72/25.13 (v94(constB142)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16356, 16331])).
% 38.72/25.13 tff(16358,plain,
% 38.72/25.13 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB141)) | v124(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB141)) | v124(constB141, bitIndex2))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16359,plain,
% 38.72/25.13 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB141)) | v124(constB141, bitIndex2))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16360,plain,
% 38.72/25.13 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB141)) | v124(constB141, bitIndex2)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16359, 16358])).
% 38.72/25.13 tff(16361,plain,
% 38.72/25.13 (v124(constB141, bitIndex2)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16360, 1918, 16291])).
% 38.72/25.13 tff(16362,plain,
% 38.72/25.13 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16363,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16364,plain,
% 38.72/25.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16363, 16362])).
% 38.72/25.13 tff(16365,plain,
% 38.72/25.13 ((~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16364, 477, 16311])).
% 38.72/25.13 tff(16366,plain,
% 38.72/25.13 (v121(constB141, bitIndex2)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16365, 16361])).
% 38.72/25.13 tff(16367,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16368,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16369,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16368, 16367])).
% 38.72/25.13 tff(16370,plain,
% 38.72/25.13 ((~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16369, 492, 16323])).
% 38.72/25.13 tff(16371,plain,
% 38.72/25.13 (v123(constB142, bitIndex2)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16370, 16366])).
% 38.72/25.13 tff(16372,plain,
% 38.72/25.13 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16373,plain,
% 38.72/25.13 ((v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2))) <=> (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16374,plain,
% 38.72/25.13 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142))))),
% 38.72/25.13 inference(monotonicity,[status(thm)],[16373])).
% 38.72/25.13 tff(16375,plain,
% 38.72/25.13 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 38.72/25.13 inference(transitivity,[status(thm)],[16374, 16372])).
% 38.72/25.13 tff(16376,plain,
% 38.72/25.13 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16377,plain,
% 38.72/25.13 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16376, 16375])).
% 38.72/25.13 tff(16378,plain,
% 38.72/25.13 (v84(constB142, bitIndex2) | (~v94(constB142))),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16377, 507, 16371])).
% 38.72/25.13 tff(16379,plain,
% 38.72/25.13 (v84(constB142, bitIndex2)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16378, 16357])).
% 38.72/25.13 tff(16380,plain,
% 38.72/25.13 ((~v1(constB143)) <=> (~v1(constB143))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16381,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 38.72/25.13 tff(16382,plain,
% 38.72/25.13 (~v1(constB143)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16381, 16380])).
% 38.72/25.13 tff(16383,plain,
% 38.72/25.13 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16384,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 38.72/25.13 tff(16385,plain,
% 38.72/25.13 (nextState(constB142, constB143)),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16384, 16383])).
% 38.72/25.13 tff(16386,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16387,plain,
% 38.72/25.13 (((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16388,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))))),
% 38.72/25.13 inference(monotonicity,[status(thm)],[16387])).
% 38.72/25.13 tff(16389,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 38.72/25.13 inference(transitivity,[status(thm)],[16388, 16386])).
% 38.72/25.13 tff(16390,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16391,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16390, 16389])).
% 38.72/25.13 tff(16392,plain,
% 38.72/25.13 (~v95(constB143)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16391, 175, 16385, 16382])).
% 38.72/25.13 tff(16393,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16394,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 38.72/25.13 inference(quant_inst,[status(thm)],[])).
% 38.72/25.13 tff(16395,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143))),
% 38.72/25.13 inference(modus_ponens,[status(thm)],[16394, 16393])).
% 38.72/25.13 tff(16396,plain,
% 38.72/25.13 (v95(constB143) | (~v94(constB143))),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16395, 192, 16385])).
% 38.72/25.13 tff(16397,plain,
% 38.72/25.13 (~v94(constB143)),
% 38.72/25.13 inference(unit_resolution,[status(thm)],[16396, 16392])).
% 38.72/25.13 tff(16398,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16399,plain,
% 38.72/25.13 (((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2)) <=> ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 38.72/25.13 inference(rewrite,[status(thm)],[])).
% 38.72/25.13 tff(16400,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2)))),
% 38.72/25.13 inference(monotonicity,[status(thm)],[16399])).
% 38.72/25.13 tff(16401,plain,
% 38.72/25.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 38.72/25.13 inference(transitivity,[status(thm)],[16400, 16398])).
% 38.72/25.13 tff(16402,plain,
% 38.72/25.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16403,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2)),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 38.72/25.14 tff(16404,plain,
% 38.72/25.14 ((~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16403, 543, 16385])).
% 38.72/25.14 tff(16405,plain,
% 38.72/25.14 ((~v84(constB142, bitIndex2)) | v84(constB143, bitIndex2)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16404, 16397])).
% 38.72/25.14 tff(16406,plain,
% 38.72/25.14 (v84(constB143, bitIndex2)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16405, 16379])).
% 38.72/25.14 tff(16407,plain,
% 38.72/25.14 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB141)) | (~v124(constB141, bitIndex1)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16408,plain,
% 38.72/25.14 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex1)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16409,plain,
% 38.72/25.14 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB141)) | (~v124(constB141, bitIndex1))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16408, 16407])).
% 38.72/25.14 tff(16410,plain,
% 38.72/25.14 (~v124(constB141, bitIndex1)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16409, 1977, 16291])).
% 38.72/25.14 tff(16411,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16412,plain,
% 38.72/25.14 ((v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1))) <=> ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16413,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1)))),
% 38.72/25.14 inference(monotonicity,[status(thm)],[16412])).
% 38.72/25.14 tff(16414,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 38.72/25.14 inference(transitivity,[status(thm)],[16413, 16411])).
% 38.72/25.14 tff(16415,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16416,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1)),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16415, 16414])).
% 38.72/25.14 tff(16417,plain,
% 38.72/25.14 ((~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16416, 576, 16311])).
% 38.72/25.14 tff(16418,plain,
% 38.72/25.14 (~v121(constB141, bitIndex1)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16417, 16410])).
% 38.72/25.14 tff(16419,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16420,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16421,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16420, 16419])).
% 38.72/25.14 tff(16422,plain,
% 38.72/25.14 (v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16421, 594, 16323])).
% 38.72/25.14 tff(16423,plain,
% 38.72/25.14 (~v123(constB142, bitIndex1)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16422, 16418])).
% 38.72/25.14 tff(16424,plain,
% 38.72/25.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16425,plain,
% 38.72/25.14 (((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1)) <=> ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16426,plain,
% 38.72/25.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142))))),
% 38.72/25.14 inference(monotonicity,[status(thm)],[16425])).
% 38.72/25.14 tff(16427,plain,
% 38.72/25.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 38.72/25.14 inference(transitivity,[status(thm)],[16426, 16424])).
% 38.72/25.14 tff(16428,plain,
% 38.72/25.14 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16429,plain,
% 38.72/25.14 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16428, 16427])).
% 38.72/25.14 tff(16430,plain,
% 38.72/25.14 ((~v84(constB142, bitIndex1)) | (~v94(constB142))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16429, 609, 16423])).
% 38.72/25.14 tff(16431,plain,
% 38.72/25.14 (~v84(constB142, bitIndex1)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16430, 16357])).
% 38.72/25.14 tff(16432,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16433,plain,
% 38.72/25.14 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1))) <=> (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16434,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1))))),
% 38.72/25.14 inference(monotonicity,[status(thm)],[16433])).
% 38.72/25.14 tff(16435,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 38.72/25.14 inference(transitivity,[status(thm)],[16434, 16432])).
% 38.72/25.14 tff(16436,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16437,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16436, 16435])).
% 38.72/25.14 tff(16438,plain,
% 38.72/25.14 (v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16437, 228, 16385])).
% 38.72/25.14 tff(16439,plain,
% 38.72/25.14 (v84(constB142, bitIndex1) | (~v84(constB143, bitIndex1))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16438, 16397])).
% 38.72/25.14 tff(16440,plain,
% 38.72/25.14 (~v84(constB143, bitIndex1)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16439, 16431])).
% 38.72/25.14 tff(16441,plain,
% 38.72/25.14 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16442,plain,
% 38.72/25.14 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16443,plain,
% 38.72/25.14 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB141)) | (~v124(constB141, bitIndex0))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16442, 16441])).
% 38.72/25.14 tff(16444,plain,
% 38.72/25.14 (~v124(constB141, bitIndex0)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16443, 2021, 16291])).
% 38.72/25.14 tff(16445,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16446,plain,
% 38.72/25.14 ((v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0))) <=> ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16447,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0)))),
% 38.72/25.14 inference(monotonicity,[status(thm)],[16446])).
% 38.72/25.14 tff(16448,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 38.72/25.14 inference(transitivity,[status(thm)],[16447, 16445])).
% 38.72/25.14 tff(16449,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16450,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0)),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16449, 16448])).
% 38.72/25.14 tff(16451,plain,
% 38.72/25.14 ((~v121(constB141, bitIndex0)) | v124(constB141, bitIndex0)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16450, 650, 16311])).
% 38.72/25.14 tff(16452,plain,
% 38.72/25.14 (~v121(constB141, bitIndex0)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16451, 16444])).
% 38.72/25.14 tff(16453,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16454,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16455,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16454, 16453])).
% 38.72/25.14 tff(16456,plain,
% 38.72/25.14 (v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16455, 668, 16323])).
% 38.72/25.14 tff(16457,plain,
% 38.72/25.14 (~v123(constB142, bitIndex0)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16456, 16452])).
% 38.72/25.14 tff(16458,plain,
% 38.72/25.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16459,plain,
% 38.72/25.14 (((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0)) <=> ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16460,plain,
% 38.72/25.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142))))),
% 38.72/25.14 inference(monotonicity,[status(thm)],[16459])).
% 38.72/25.14 tff(16461,plain,
% 38.72/25.14 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 38.72/25.14 inference(transitivity,[status(thm)],[16460, 16458])).
% 38.72/25.14 tff(16462,plain,
% 38.72/25.14 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16463,plain,
% 38.72/25.14 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16462, 16461])).
% 38.72/25.14 tff(16464,plain,
% 38.72/25.14 ((~v84(constB142, bitIndex0)) | (~v94(constB142))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16463, 683, 16457])).
% 38.72/25.14 tff(16465,plain,
% 38.72/25.14 (~v84(constB142, bitIndex0)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16464, 16357])).
% 38.72/25.14 tff(16466,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16467,plain,
% 38.72/25.14 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0))) <=> (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16468,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0))))),
% 38.72/25.14 inference(monotonicity,[status(thm)],[16467])).
% 38.72/25.14 tff(16469,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 38.72/25.14 inference(transitivity,[status(thm)],[16468, 16466])).
% 38.72/25.14 tff(16470,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16471,plain,
% 38.72/25.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16470, 16469])).
% 38.72/25.14 tff(16472,plain,
% 38.72/25.14 (v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16471, 249, 16385])).
% 38.72/25.14 tff(16473,plain,
% 38.72/25.14 (v84(constB142, bitIndex0) | (~v84(constB143, bitIndex0))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16472, 16397])).
% 38.72/25.14 tff(16474,plain,
% 38.72/25.14 (~v84(constB143, bitIndex0)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16473, 16465])).
% 38.72/25.14 tff(16475,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16476,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16477,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143)),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16476, 16475])).
% 38.72/25.14 tff(16478,plain,
% 38.72/25.14 (v172(constB143)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16477, 710, 16474, 16440, 16406])).
% 38.72/25.14 tff(16479,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB143) | (~v172(constB143)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB143) | (~v172(constB143)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16480,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB143) | (~v172(constB143)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16481,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB143) | (~v172(constB143))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16480, 16479])).
% 38.72/25.14 tff(16482,plain,
% 38.72/25.14 (v109(constB143)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16481, 764, 16478])).
% 38.72/25.14 tff(16483,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB143) | (~v109(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB143) | (~v109(constB143)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16484,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB143) | (~v109(constB143)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16485,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB143) | (~v109(constB143))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16484, 16483])).
% 38.72/25.14 tff(16486,plain,
% 38.72/25.14 (v108(constB143)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16485, 325, 16482])).
% 38.72/25.14 tff(16487,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB143) | (~v108(constB143)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB143) | (~v108(constB143)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16488,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB143) | (~v108(constB143)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16489,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB143) | (~v108(constB143))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 38.72/25.14 tff(16490,plain,
% 38.72/25.14 (v107(constB143)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16489, 336, 16486])).
% 38.72/25.14 tff(16491,assumption,(v26(constB143)), introduced(assumption)).
% 38.72/25.14 tff(16492,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16493,plain,
% 38.72/25.14 ($false),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16492, 120, 16491])).
% 38.72/25.14 tff(16494,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 38.72/25.14 tff(16495,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16496,plain,
% 38.72/25.14 ((v26(constB143) | (~v107(constB143)) | v106(constB143)) <=> (v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16497,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143))))),
% 38.72/25.14 inference(monotonicity,[status(thm)],[16496])).
% 38.72/25.14 tff(16498,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 38.72/25.14 inference(transitivity,[status(thm)],[16497, 16495])).
% 38.72/25.14 tff(16499,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16500,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 38.72/25.14 tff(16501,plain,
% 38.72/25.14 (v106(constB143) | (~v107(constB143))),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16500, 350, 16494])).
% 38.72/25.14 tff(16502,plain,
% 38.72/25.14 (v106(constB143)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16501, 16490])).
% 38.72/25.14 tff(16503,plain,
% 38.72/25.14 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB143) | (~v106(constB143)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB143) | (~v106(constB143)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16504,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB143) | (~v106(constB143)))),
% 38.72/25.14 inference(quant_inst,[status(thm)],[])).
% 38.72/25.14 tff(16505,plain,
% 38.72/25.14 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB143) | (~v106(constB143))),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16504, 16503])).
% 38.72/25.14 tff(16506,plain,
% 38.72/25.14 (v102(constB143)),
% 38.72/25.14 inference(unit_resolution,[status(thm)],[16505, 362, 16502])).
% 38.72/25.14 tff(16507,plain,
% 38.72/25.14 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16508,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 38.72/25.14 tff(16509,plain,
% 38.72/25.14 (nextState(constB143, constB144)),
% 38.72/25.14 inference(modus_ponens,[status(thm)],[16508, 16507])).
% 38.72/25.14 tff(16510,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16511,plain,
% 38.72/25.14 (((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 38.72/25.14 inference(rewrite,[status(thm)],[])).
% 38.72/25.14 tff(16512,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))))),
% 38.72/25.14 inference(monotonicity,[status(thm)],[16511])).
% 38.72/25.14 tff(16513,plain,
% 38.72/25.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 38.72/25.15 inference(transitivity,[status(thm)],[16512, 16510])).
% 38.72/25.15 tff(16514,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16515,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 38.72/25.15 tff(16516,plain,
% 38.72/25.15 (v104(constB144) | (~v102(constB143))),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16515, 379, 16509])).
% 38.72/25.15 tff(16517,plain,
% 38.72/25.15 (v104(constB144)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16516, 16506])).
% 38.72/25.15 tff(16518,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16519,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16520,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144))),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 38.72/25.15 tff(16521,plain,
% 38.72/25.15 (~v98(constB144)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16520, 397, 16509, 16382])).
% 38.72/25.15 tff(16522,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16523,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16524,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 38.72/25.15 tff(16525,plain,
% 38.72/25.15 (v96(constB144) | v98(constB144)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16524, 411, 16509])).
% 38.72/25.15 tff(16526,plain,
% 38.72/25.15 (v96(constB144)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16525, 16521])).
% 38.72/25.15 tff(16527,plain,
% 38.72/25.15 (v1(constB144) <=> v1(constB144)),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16528,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 38.72/25.15 tff(16529,plain,
% 38.72/25.15 (v1(constB144)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16528, 16527])).
% 38.72/25.15 tff(16530,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16531,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16532,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144))),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 38.72/25.15 tff(16533,plain,
% 38.72/25.15 (v95(constB144) | (~v96(constB144))),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16532, 429, 16509, 16529])).
% 38.72/25.15 tff(16534,plain,
% 38.72/25.15 (v95(constB144)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16533, 16526])).
% 38.72/25.15 tff(16535,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16536,plain,
% 38.72/25.15 (((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144)) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16537,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144))))),
% 38.72/25.15 inference(monotonicity,[status(thm)],[16536])).
% 38.72/25.15 tff(16538,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 38.72/25.15 inference(transitivity,[status(thm)],[16537, 16535])).
% 38.72/25.15 tff(16539,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16540,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144))),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16539, 16538])).
% 38.72/25.15 tff(16541,plain,
% 38.72/25.15 (v94(constB144) | (~v95(constB144)) | (~v104(constB144))),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16540, 444, 16509])).
% 38.72/25.15 tff(16542,plain,
% 38.72/25.15 (v94(constB144) | (~v104(constB144))),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16541, 16534])).
% 38.72/25.15 tff(16543,plain,
% 38.72/25.15 (v94(constB144)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16542, 16517])).
% 38.72/25.15 tff(16544,plain,
% 38.72/25.15 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB143)) | v124(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB143)) | v124(constB143, bitIndex2))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16545,plain,
% 38.72/25.15 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB143)) | v124(constB143, bitIndex2))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16546,plain,
% 38.72/25.15 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB143)) | v124(constB143, bitIndex2)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 38.72/25.15 tff(16547,plain,
% 38.72/25.15 (v124(constB143, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16546, 724, 16478])).
% 38.72/25.15 tff(16548,plain,
% 38.72/25.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16549,plain,
% 38.72/25.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16550,plain,
% 38.72/25.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 38.72/25.15 tff(16551,plain,
% 38.72/25.15 ((~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16550, 477, 16494])).
% 38.72/25.15 tff(16552,plain,
% 38.72/25.15 (v121(constB143, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16551, 16547])).
% 38.72/25.15 tff(16553,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16554,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16555,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16554, 16553])).
% 38.72/25.15 tff(16556,plain,
% 38.72/25.15 ((~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16555, 492, 16509])).
% 38.72/25.15 tff(16557,plain,
% 38.72/25.15 (v123(constB144, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16556, 16552])).
% 38.72/25.15 tff(16558,plain,
% 38.72/25.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16559,plain,
% 38.72/25.15 ((v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2))) <=> (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16560,plain,
% 38.72/25.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144))))),
% 38.72/25.15 inference(monotonicity,[status(thm)],[16559])).
% 38.72/25.15 tff(16561,plain,
% 38.72/25.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 38.72/25.15 inference(transitivity,[status(thm)],[16560, 16558])).
% 38.72/25.15 tff(16562,plain,
% 38.72/25.15 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16563,plain,
% 38.72/25.15 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144))),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16562, 16561])).
% 38.72/25.15 tff(16564,plain,
% 38.72/25.15 (v84(constB144, bitIndex2) | (~v94(constB144))),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16563, 507, 16557])).
% 38.72/25.15 tff(16565,plain,
% 38.72/25.15 (v84(constB144, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16564, 16543])).
% 38.72/25.15 tff(16566,plain,
% 38.72/25.15 ((~v1(constB145)) <=> (~v1(constB145))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16567,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 38.72/25.15 tff(16568,plain,
% 38.72/25.15 (~v1(constB145)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16567, 16566])).
% 38.72/25.15 tff(16569,plain,
% 38.72/25.15 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16570,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 38.72/25.15 tff(16571,plain,
% 38.72/25.15 (nextState(constB144, constB145)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16570, 16569])).
% 38.72/25.15 tff(16572,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16573,plain,
% 38.72/25.15 (((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16574,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))))),
% 38.72/25.15 inference(monotonicity,[status(thm)],[16573])).
% 38.72/25.15 tff(16575,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 38.72/25.15 inference(transitivity,[status(thm)],[16574, 16572])).
% 38.72/25.15 tff(16576,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16577,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16576, 16575])).
% 38.72/25.15 tff(16578,plain,
% 38.72/25.15 (~v95(constB145)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16577, 175, 16571, 16568])).
% 38.72/25.15 tff(16579,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16580,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16581,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145))),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 38.72/25.15 tff(16582,plain,
% 38.72/25.15 (v95(constB145) | (~v94(constB145))),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16581, 192, 16571])).
% 38.72/25.15 tff(16583,plain,
% 38.72/25.15 (~v94(constB145)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16582, 16578])).
% 38.72/25.15 tff(16584,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16585,plain,
% 38.72/25.15 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2)) <=> ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16586,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2)))),
% 38.72/25.15 inference(monotonicity,[status(thm)],[16585])).
% 38.72/25.15 tff(16587,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 38.72/25.15 inference(transitivity,[status(thm)],[16586, 16584])).
% 38.72/25.15 tff(16588,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16589,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 38.72/25.15 tff(16590,plain,
% 38.72/25.15 ((~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16589, 543, 16571])).
% 38.72/25.15 tff(16591,plain,
% 38.72/25.15 ((~v84(constB144, bitIndex2)) | v84(constB145, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16590, 16583])).
% 38.72/25.15 tff(16592,plain,
% 38.72/25.15 (v84(constB145, bitIndex2)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16591, 16565])).
% 38.72/25.15 tff(16593,plain,
% 38.72/25.15 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB143)) | v124(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB143)) | v124(constB143, bitIndex1))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16594,plain,
% 38.72/25.15 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB143)) | v124(constB143, bitIndex1))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16595,plain,
% 38.72/25.15 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB143)) | v124(constB143, bitIndex1)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 38.72/25.15 tff(16596,plain,
% 38.72/25.15 (v124(constB143, bitIndex1)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16595, 861, 16478])).
% 38.72/25.15 tff(16597,plain,
% 38.72/25.15 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16598,plain,
% 38.72/25.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16599,plain,
% 38.72/25.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 38.72/25.15 tff(16600,plain,
% 38.72/25.15 ((~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16599, 875, 16494])).
% 38.72/25.15 tff(16601,plain,
% 38.72/25.15 (v121(constB143, bitIndex1)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16600, 16596])).
% 38.72/25.15 tff(16602,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16603,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16604,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 38.72/25.15 tff(16605,plain,
% 38.72/25.15 ((~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16604, 890, 16509])).
% 38.72/25.15 tff(16606,plain,
% 38.72/25.15 (v123(constB144, bitIndex1)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16605, 16601])).
% 38.72/25.15 tff(16607,plain,
% 38.72/25.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16608,plain,
% 38.72/25.15 ((v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1))) <=> (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16609,plain,
% 38.72/25.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144))))),
% 38.72/25.15 inference(monotonicity,[status(thm)],[16608])).
% 38.72/25.15 tff(16610,plain,
% 38.72/25.15 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 38.72/25.15 inference(transitivity,[status(thm)],[16609, 16607])).
% 38.72/25.15 tff(16611,plain,
% 38.72/25.15 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16612,plain,
% 38.72/25.15 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144))),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16611, 16610])).
% 38.72/25.15 tff(16613,plain,
% 38.72/25.15 (v84(constB144, bitIndex1) | (~v94(constB144))),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16612, 905, 16606])).
% 38.72/25.15 tff(16614,plain,
% 38.72/25.15 (v84(constB144, bitIndex1)),
% 38.72/25.15 inference(unit_resolution,[status(thm)],[16613, 16543])).
% 38.72/25.15 tff(16615,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16616,plain,
% 38.72/25.15 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1)) <=> ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 38.72/25.15 inference(rewrite,[status(thm)],[])).
% 38.72/25.15 tff(16617,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1)))),
% 38.72/25.15 inference(monotonicity,[status(thm)],[16616])).
% 38.72/25.15 tff(16618,plain,
% 38.72/25.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 38.72/25.15 inference(transitivity,[status(thm)],[16617, 16615])).
% 38.72/25.15 tff(16619,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))),
% 38.72/25.15 inference(quant_inst,[status(thm)],[])).
% 38.72/25.15 tff(16620,plain,
% 38.72/25.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1)),
% 38.72/25.15 inference(modus_ponens,[status(thm)],[16619, 16618])).
% 38.72/25.15 tff(16621,plain,
% 38.72/25.15 ((~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16620, 923, 16571])).
% 38.72/25.16 tff(16622,plain,
% 38.72/25.16 ((~v84(constB144, bitIndex1)) | v84(constB145, bitIndex1)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16621, 16583])).
% 38.72/25.16 tff(16623,plain,
% 38.72/25.16 (v84(constB145, bitIndex1)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16622, 16614])).
% 38.72/25.16 tff(16624,plain,
% 38.72/25.16 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB143)) | (~v124(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB143)) | (~v124(constB143, bitIndex0)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16625,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB143)) | (~v124(constB143, bitIndex0)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16626,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB143)) | (~v124(constB143, bitIndex0))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16625, 16624])).
% 38.72/25.16 tff(16627,plain,
% 38.72/25.16 (~v124(constB143, bitIndex0)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16626, 942, 16478])).
% 38.72/25.16 tff(16628,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16629,plain,
% 38.72/25.16 ((v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0))) <=> ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16630,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0)))),
% 38.72/25.16 inference(monotonicity,[status(thm)],[16629])).
% 38.72/25.16 tff(16631,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 38.72/25.16 inference(transitivity,[status(thm)],[16630, 16628])).
% 38.72/25.16 tff(16632,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16633,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0)),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16632, 16631])).
% 38.72/25.16 tff(16634,plain,
% 38.72/25.16 ((~v121(constB143, bitIndex0)) | v124(constB143, bitIndex0)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16633, 650, 16494])).
% 38.72/25.16 tff(16635,plain,
% 38.72/25.16 (~v121(constB143, bitIndex0)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16634, 16627])).
% 38.72/25.16 tff(16636,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16637,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16638,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16637, 16636])).
% 38.72/25.16 tff(16639,plain,
% 38.72/25.16 (v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16638, 668, 16509])).
% 38.72/25.16 tff(16640,plain,
% 38.72/25.16 (~v123(constB144, bitIndex0)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16639, 16635])).
% 38.72/25.16 tff(16641,plain,
% 38.72/25.16 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16642,plain,
% 38.72/25.16 (((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0)) <=> ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16643,plain,
% 38.72/25.16 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144))))),
% 38.72/25.16 inference(monotonicity,[status(thm)],[16642])).
% 38.72/25.16 tff(16644,plain,
% 38.72/25.16 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 38.72/25.16 inference(transitivity,[status(thm)],[16643, 16641])).
% 38.72/25.16 tff(16645,plain,
% 38.72/25.16 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16646,plain,
% 38.72/25.16 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16645, 16644])).
% 38.72/25.16 tff(16647,plain,
% 38.72/25.16 ((~v84(constB144, bitIndex0)) | (~v94(constB144))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16646, 683, 16640])).
% 38.72/25.16 tff(16648,plain,
% 38.72/25.16 (~v84(constB144, bitIndex0)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16647, 16543])).
% 38.72/25.16 tff(16649,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16650,plain,
% 38.72/25.16 (((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0))) <=> (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16651,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0))))),
% 38.72/25.16 inference(monotonicity,[status(thm)],[16650])).
% 38.72/25.16 tff(16652,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 38.72/25.16 inference(transitivity,[status(thm)],[16651, 16649])).
% 38.72/25.16 tff(16653,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16654,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 38.72/25.16 tff(16655,plain,
% 38.72/25.16 (v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16654, 249, 16571])).
% 38.72/25.16 tff(16656,plain,
% 38.72/25.16 (v84(constB144, bitIndex0) | (~v84(constB145, bitIndex0))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16655, 16583])).
% 38.72/25.16 tff(16657,plain,
% 38.72/25.16 (~v84(constB145, bitIndex0)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16656, 16648])).
% 38.72/25.16 tff(16658,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16659,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16660,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145)),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16659, 16658])).
% 38.72/25.16 tff(16661,plain,
% 38.72/25.16 (v119(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16660, 986, 16657, 16623, 16592])).
% 38.72/25.16 tff(16662,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB145) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB145) | (~v119(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16663,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB145) | (~v119(constB145)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16664,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB145) | (~v119(constB145))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16663, 16662])).
% 38.72/25.16 tff(16665,plain,
% 38.72/25.16 (v107(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16664, 997, 16661])).
% 38.72/25.16 tff(16666,assumption,(v26(constB145)), introduced(assumption)).
% 38.72/25.16 tff(16667,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16668,plain,
% 38.72/25.16 ($false),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16667, 120, 16666])).
% 38.72/25.16 tff(16669,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 38.72/25.16 tff(16670,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | v106(constB145) | (~v107(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16671,plain,
% 38.72/25.16 ((v26(constB145) | (~v107(constB145)) | v106(constB145)) <=> (v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16672,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | v106(constB145) | (~v107(constB145))))),
% 38.72/25.16 inference(monotonicity,[status(thm)],[16671])).
% 38.72/25.16 tff(16673,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 38.72/25.16 inference(transitivity,[status(thm)],[16672, 16670])).
% 38.72/25.16 tff(16674,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16675,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16674, 16673])).
% 38.72/25.16 tff(16676,plain,
% 38.72/25.16 (v106(constB145) | (~v107(constB145))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16675, 350, 16669])).
% 38.72/25.16 tff(16677,plain,
% 38.72/25.16 (v106(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16676, 16665])).
% 38.72/25.16 tff(16678,plain,
% 38.72/25.16 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB145) | (~v106(constB145)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB145) | (~v106(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16679,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB145) | (~v106(constB145)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16680,plain,
% 38.72/25.16 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB145) | (~v106(constB145))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16679, 16678])).
% 38.72/25.16 tff(16681,plain,
% 38.72/25.16 (v102(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16680, 362, 16677])).
% 38.72/25.16 tff(16682,plain,
% 38.72/25.16 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16683,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 38.72/25.16 tff(16684,plain,
% 38.72/25.16 (nextState(constB145, constB146)),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16683, 16682])).
% 38.72/25.16 tff(16685,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16686,plain,
% 38.72/25.16 (((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16687,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))))),
% 38.72/25.16 inference(monotonicity,[status(thm)],[16686])).
% 38.72/25.16 tff(16688,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 38.72/25.16 inference(transitivity,[status(thm)],[16687, 16685])).
% 38.72/25.16 tff(16689,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16690,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16689, 16688])).
% 38.72/25.16 tff(16691,plain,
% 38.72/25.16 (v104(constB146) | (~v102(constB145))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16690, 379, 16684])).
% 38.72/25.16 tff(16692,plain,
% 38.72/25.16 (v104(constB146)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16691, 16681])).
% 38.72/25.16 tff(16693,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16694,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16695,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 38.72/25.16 tff(16696,plain,
% 38.72/25.16 (~v98(constB146)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16695, 397, 16684, 16568])).
% 38.72/25.16 tff(16697,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16698,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16699,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146)),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16698, 16697])).
% 38.72/25.16 tff(16700,plain,
% 38.72/25.16 (v96(constB146) | v98(constB146)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16699, 411, 16684])).
% 38.72/25.16 tff(16701,plain,
% 38.72/25.16 (v96(constB146)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16700, 16696])).
% 38.72/25.16 tff(16702,plain,
% 38.72/25.16 (v1(constB146) <=> v1(constB146)),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16703,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 38.72/25.16 tff(16704,plain,
% 38.72/25.16 (v1(constB146)),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 38.72/25.16 tff(16705,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16706,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16707,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16706, 16705])).
% 38.72/25.16 tff(16708,plain,
% 38.72/25.16 (v95(constB146) | (~v96(constB146))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16707, 429, 16684, 16704])).
% 38.72/25.16 tff(16709,plain,
% 38.72/25.16 (v95(constB146)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16708, 16701])).
% 38.72/25.16 tff(16710,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16711,plain,
% 38.72/25.16 (((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146)) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16712,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146))))),
% 38.72/25.16 inference(monotonicity,[status(thm)],[16711])).
% 38.72/25.16 tff(16713,plain,
% 38.72/25.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 38.72/25.16 inference(transitivity,[status(thm)],[16712, 16710])).
% 38.72/25.16 tff(16714,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16715,plain,
% 38.72/25.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 38.72/25.16 tff(16716,plain,
% 38.72/25.16 (v94(constB146) | (~v95(constB146)) | (~v104(constB146))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16715, 444, 16684])).
% 38.72/25.16 tff(16717,plain,
% 38.72/25.16 (v94(constB146) | (~v104(constB146))),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16716, 16709])).
% 38.72/25.16 tff(16718,plain,
% 38.72/25.16 (v94(constB146)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16717, 16692])).
% 38.72/25.16 tff(16719,plain,
% 38.72/25.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v115(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v115(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16720,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v115(constB145)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16721,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v115(constB145))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16720, 16719])).
% 38.72/25.16 tff(16722,plain,
% 38.72/25.16 (~v115(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16721, 1058, 16592])).
% 38.72/25.16 tff(16723,plain,
% 38.72/25.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v116(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v116(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16724,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v116(constB145)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16725,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v116(constB145))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16724, 16723])).
% 38.72/25.16 tff(16726,plain,
% 38.72/25.16 (~v116(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16725, 1069, 16592])).
% 38.72/25.16 tff(16727,plain,
% 38.72/25.16 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16728,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16729,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 38.72/25.16 tff(16730,plain,
% 38.72/25.16 (~v113(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16729, 1083, 16623])).
% 38.72/25.16 tff(16731,plain,
% 38.72/25.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v118(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v118(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16732,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v118(constB145)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16733,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v118(constB145))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 38.72/25.16 tff(16734,plain,
% 38.72/25.16 (~v118(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16733, 1094, 16623])).
% 38.72/25.16 tff(16735,plain,
% 38.72/25.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v145(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v145(constB145)))),
% 38.72/25.16 inference(rewrite,[status(thm)],[])).
% 38.72/25.16 tff(16736,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v145(constB145)))),
% 38.72/25.16 inference(quant_inst,[status(thm)],[])).
% 38.72/25.16 tff(16737,plain,
% 38.72/25.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v145(constB145))),
% 38.72/25.16 inference(modus_ponens,[status(thm)],[16736, 16735])).
% 38.72/25.16 tff(16738,plain,
% 38.72/25.16 (~v145(constB145)),
% 38.72/25.16 inference(unit_resolution,[status(thm)],[16737, 1116, 16623])).
% 38.72/25.16 tff(16739,plain,
% 38.72/25.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v172(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v172(constB145)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16740,plain,
% 38.72/25.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v172(constB145)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16741,plain,
% 38.72/25.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v172(constB145))),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16740, 16739])).
% 38.72/25.17 tff(16742,plain,
% 38.72/25.17 (~v172(constB145)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16741, 1105, 16623])).
% 38.72/25.17 tff(16743,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB145, bitIndex2)) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB145, bitIndex2)) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16744,plain,
% 38.72/25.17 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2))) <=> ((~v124(constB145, bitIndex2)) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16745,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB145, bitIndex2)) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145)))),
% 38.72/25.17 inference(monotonicity,[status(thm)],[16744])).
% 38.72/25.17 tff(16746,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB145, bitIndex2)) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.17 inference(transitivity,[status(thm)],[16745, 16743])).
% 38.72/25.17 tff(16747,plain,
% 38.72/25.17 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16748,plain,
% 38.72/25.17 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB145, bitIndex2)) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145)),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16747, 16746])).
% 38.72/25.17 tff(16749,plain,
% 38.72/25.17 (~v124(constB145, bitIndex2)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16748, 1130, 16742, 16738, 16734, 16730, 16726, 16722])).
% 38.72/25.17 tff(16750,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16751,plain,
% 38.72/25.17 ((v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2))) <=> ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16752,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2)))),
% 38.72/25.17 inference(monotonicity,[status(thm)],[16751])).
% 38.72/25.17 tff(16753,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 38.72/25.17 inference(transitivity,[status(thm)],[16752, 16750])).
% 38.72/25.17 tff(16754,plain,
% 38.72/25.17 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16755,plain,
% 38.72/25.17 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2)),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 38.72/25.17 tff(16756,plain,
% 38.72/25.17 ((~v121(constB145, bitIndex2)) | v124(constB145, bitIndex2)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16755, 1147, 16669])).
% 38.72/25.17 tff(16757,plain,
% 38.72/25.17 (~v121(constB145, bitIndex2)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16756, 16749])).
% 38.72/25.17 tff(16758,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16759,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16760,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2))),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16759, 16758])).
% 38.72/25.17 tff(16761,plain,
% 38.72/25.17 (v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2))),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16760, 1165, 16684])).
% 38.72/25.17 tff(16762,plain,
% 38.72/25.17 (~v123(constB146, bitIndex2)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16761, 16757])).
% 38.72/25.17 tff(16763,plain,
% 38.72/25.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16764,plain,
% 38.72/25.17 (((~v84(constB146, bitIndex2)) | (~v94(constB146)) | v123(constB146, bitIndex2)) <=> ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16765,plain,
% 38.72/25.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~v94(constB146)) | v123(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146))))),
% 38.72/25.17 inference(monotonicity,[status(thm)],[16764])).
% 38.72/25.17 tff(16766,plain,
% 38.72/25.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~v94(constB146)) | v123(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 38.72/25.17 inference(transitivity,[status(thm)],[16765, 16763])).
% 38.72/25.17 tff(16767,plain,
% 38.72/25.17 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~v94(constB146)) | v123(constB146, bitIndex2))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16768,plain,
% 38.72/25.17 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146))),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 38.72/25.17 tff(16769,plain,
% 38.72/25.17 ((~v84(constB146, bitIndex2)) | (~v94(constB146))),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16768, 1180, 16762])).
% 38.72/25.17 tff(16770,plain,
% 38.72/25.17 (~v84(constB146, bitIndex2)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16769, 16718])).
% 38.72/25.17 tff(16771,plain,
% 38.72/25.17 ((~v1(constB147)) <=> (~v1(constB147))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16772,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 38.72/25.17 tff(16773,plain,
% 38.72/25.17 (~v1(constB147)),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16772, 16771])).
% 38.72/25.17 tff(16774,plain,
% 38.72/25.17 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16775,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 38.72/25.17 tff(16776,plain,
% 38.72/25.17 (nextState(constB146, constB147)),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 38.72/25.17 tff(16777,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16778,plain,
% 38.72/25.17 (((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16779,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))))),
% 38.72/25.17 inference(monotonicity,[status(thm)],[16778])).
% 38.72/25.17 tff(16780,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 38.72/25.17 inference(transitivity,[status(thm)],[16779, 16777])).
% 38.72/25.17 tff(16781,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16782,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16781, 16780])).
% 38.72/25.17 tff(16783,plain,
% 38.72/25.17 (~v95(constB147)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16782, 175, 16776, 16773])).
% 38.72/25.17 tff(16784,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16785,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16786,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147))),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16785, 16784])).
% 38.72/25.17 tff(16787,plain,
% 38.72/25.17 (v95(constB147) | (~v94(constB147))),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16786, 192, 16776])).
% 38.72/25.17 tff(16788,plain,
% 38.72/25.17 (~v94(constB147)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16787, 16783])).
% 38.72/25.17 tff(16789,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16790,plain,
% 38.72/25.17 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2))) <=> (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16791,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2))))),
% 38.72/25.17 inference(monotonicity,[status(thm)],[16790])).
% 38.72/25.17 tff(16792,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 38.72/25.17 inference(transitivity,[status(thm)],[16791, 16789])).
% 38.72/25.17 tff(16793,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16794,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2))),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16793, 16792])).
% 38.72/25.17 tff(16795,plain,
% 38.72/25.17 (v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2))),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16794, 207, 16776])).
% 38.72/25.17 tff(16796,plain,
% 38.72/25.17 (v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2))),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16795, 16788])).
% 38.72/25.17 tff(16797,plain,
% 38.72/25.17 (~v84(constB147, bitIndex2)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16796, 16770])).
% 38.72/25.17 tff(16798,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16799,plain,
% 38.72/25.17 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1))) <=> (v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16800,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145)))),
% 38.72/25.17 inference(monotonicity,[status(thm)],[16799])).
% 38.72/25.17 tff(16801,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.17 inference(transitivity,[status(thm)],[16800, 16798])).
% 38.72/25.17 tff(16802,plain,
% 38.72/25.17 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16803,plain,
% 38.72/25.17 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145)),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16802, 16801])).
% 38.72/25.17 tff(16804,plain,
% 38.72/25.17 (~v124(constB145, bitIndex1)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16803, 1225, 16742, 16738, 16734, 16730, 16726, 16722])).
% 38.72/25.17 tff(16805,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16806,plain,
% 38.72/25.17 ((v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1))) <=> ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16807,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1)))),
% 38.72/25.17 inference(monotonicity,[status(thm)],[16806])).
% 38.72/25.17 tff(16808,plain,
% 38.72/25.17 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 38.72/25.17 inference(transitivity,[status(thm)],[16807, 16805])).
% 38.72/25.17 tff(16809,plain,
% 38.72/25.17 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16810,plain,
% 38.72/25.17 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1)),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16809, 16808])).
% 38.72/25.17 tff(16811,plain,
% 38.72/25.17 ((~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16810, 576, 16669])).
% 38.72/25.17 tff(16812,plain,
% 38.72/25.17 (~v121(constB145, bitIndex1)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16811, 16804])).
% 38.72/25.17 tff(16813,plain,
% 38.72/25.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16814,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 38.72/25.17 inference(quant_inst,[status(thm)],[])).
% 38.72/25.17 tff(16815,plain,
% 38.72/25.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1))),
% 38.72/25.17 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 38.72/25.17 tff(16816,plain,
% 38.72/25.17 (v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1))),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16815, 594, 16684])).
% 38.72/25.17 tff(16817,plain,
% 38.72/25.17 (~v123(constB146, bitIndex1)),
% 38.72/25.17 inference(unit_resolution,[status(thm)],[16816, 16812])).
% 38.72/25.17 tff(16818,plain,
% 38.72/25.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16819,plain,
% 38.72/25.17 (((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1)) <=> ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 38.72/25.17 inference(rewrite,[status(thm)],[])).
% 38.72/25.17 tff(16820,plain,
% 38.72/25.17 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146))))),
% 38.72/25.18 inference(monotonicity,[status(thm)],[16819])).
% 38.72/25.18 tff(16821,plain,
% 38.72/25.18 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 38.72/25.18 inference(transitivity,[status(thm)],[16820, 16818])).
% 38.72/25.18 tff(16822,plain,
% 38.72/25.18 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))),
% 38.72/25.18 inference(quant_inst,[status(thm)],[])).
% 38.72/25.18 tff(16823,plain,
% 38.72/25.18 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146))),
% 38.72/25.18 inference(modus_ponens,[status(thm)],[16822, 16821])).
% 38.72/25.18 tff(16824,plain,
% 38.72/25.18 ((~v84(constB146, bitIndex1)) | (~v94(constB146))),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16823, 609, 16817])).
% 38.72/25.18 tff(16825,plain,
% 38.72/25.18 (~v84(constB146, bitIndex1)),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16824, 16718])).
% 38.72/25.18 tff(16826,plain,
% 38.72/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 38.72/25.18 inference(rewrite,[status(thm)],[])).
% 38.72/25.18 tff(16827,plain,
% 38.72/25.18 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1))) <=> (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 38.72/25.18 inference(rewrite,[status(thm)],[])).
% 38.72/25.18 tff(16828,plain,
% 38.72/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1))))),
% 38.72/25.18 inference(monotonicity,[status(thm)],[16827])).
% 38.72/25.18 tff(16829,plain,
% 38.72/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 38.72/25.18 inference(transitivity,[status(thm)],[16828, 16826])).
% 38.72/25.18 tff(16830,plain,
% 38.72/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 38.72/25.18 inference(quant_inst,[status(thm)],[])).
% 38.72/25.18 tff(16831,plain,
% 38.72/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1))),
% 38.72/25.18 inference(modus_ponens,[status(thm)],[16830, 16829])).
% 38.72/25.18 tff(16832,plain,
% 38.72/25.18 (v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1))),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16831, 228, 16776])).
% 38.72/25.18 tff(16833,plain,
% 38.72/25.18 (v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1))),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16832, 16788])).
% 38.72/25.18 tff(16834,plain,
% 38.72/25.18 (~v84(constB147, bitIndex1)),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16833, 16825])).
% 38.72/25.18 tff(16835,plain,
% 38.72/25.18 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB145, bitIndex0) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB145, bitIndex0) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.18 inference(rewrite,[status(thm)],[])).
% 38.72/25.18 tff(16836,plain,
% 38.72/25.18 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0)) <=> (v124(constB145, bitIndex0) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.18 inference(rewrite,[status(thm)],[])).
% 38.72/25.18 tff(16837,plain,
% 38.72/25.18 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB145, bitIndex0) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145)))),
% 38.72/25.18 inference(monotonicity,[status(thm)],[16836])).
% 38.72/25.18 tff(16838,plain,
% 38.72/25.18 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB145, bitIndex0) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145))),
% 38.72/25.18 inference(transitivity,[status(thm)],[16837, 16835])).
% 38.72/25.18 tff(16839,plain,
% 38.72/25.18 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))),
% 38.72/25.18 inference(quant_inst,[status(thm)],[])).
% 38.72/25.18 tff(16840,plain,
% 38.72/25.18 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB145, bitIndex0) | v115(constB145) | v113(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v145(constB145)),
% 38.72/25.18 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 38.72/25.18 tff(16841,plain,
% 38.72/25.18 (v124(constB145, bitIndex0)),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16840, 1272, 16742, 16738, 16734, 16730, 16726, 16722])).
% 38.72/25.18 tff(16842,plain,
% 38.72/25.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 38.72/25.18 inference(rewrite,[status(thm)],[])).
% 38.72/25.18 tff(16843,plain,
% 38.72/25.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 38.72/25.18 inference(quant_inst,[status(thm)],[])).
% 38.72/25.18 tff(16844,plain,
% 38.72/25.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 38.72/25.18 inference(modus_ponens,[status(thm)],[16843, 16842])).
% 38.72/25.18 tff(16845,plain,
% 38.72/25.18 ((~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16844, 1289, 16669])).
% 38.72/25.18 tff(16846,plain,
% 38.72/25.18 (v121(constB145, bitIndex0)),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16845, 16841])).
% 38.72/25.18 tff(16847,plain,
% 38.72/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))),
% 38.72/25.18 inference(rewrite,[status(thm)],[])).
% 38.72/25.18 tff(16848,plain,
% 38.72/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))),
% 38.72/25.18 inference(quant_inst,[status(thm)],[])).
% 38.72/25.18 tff(16849,plain,
% 38.72/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0)),
% 38.72/25.18 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 38.72/25.18 tff(16850,plain,
% 38.72/25.18 ((~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0)),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16849, 1304, 16684])).
% 38.72/25.18 tff(16851,plain,
% 38.72/25.18 (v123(constB146, bitIndex0)),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16850, 16846])).
% 38.72/25.18 tff(16852,plain,
% 38.72/25.18 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 38.72/25.18 inference(rewrite,[status(thm)],[])).
% 38.72/25.18 tff(16853,plain,
% 38.72/25.18 ((v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0))) <=> (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 38.72/25.18 inference(rewrite,[status(thm)],[])).
% 38.72/25.18 tff(16854,plain,
% 38.72/25.18 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146))))),
% 38.72/25.18 inference(monotonicity,[status(thm)],[16853])).
% 38.72/25.18 tff(16855,plain,
% 38.72/25.18 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 38.72/25.18 inference(transitivity,[status(thm)],[16854, 16852])).
% 38.72/25.18 tff(16856,plain,
% 38.72/25.18 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))),
% 38.72/25.18 inference(quant_inst,[status(thm)],[])).
% 38.72/25.18 tff(16857,plain,
% 38.72/25.18 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146))),
% 38.72/25.18 inference(modus_ponens,[status(thm)],[16856, 16855])).
% 38.72/25.18 tff(16858,plain,
% 38.72/25.18 (v84(constB146, bitIndex0) | (~v94(constB146))),
% 38.72/25.18 inference(unit_resolution,[status(thm)],[16857, 1319, 16851])).
% 38.79/25.18 tff(16859,plain,
% 38.79/25.18 (v84(constB146, bitIndex0)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16858, 16718])).
% 38.79/25.18 tff(16860,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16861,plain,
% 38.79/25.18 (((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0)) <=> ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16862,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0)))),
% 38.79/25.18 inference(monotonicity,[status(thm)],[16861])).
% 38.79/25.18 tff(16863,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 38.79/25.18 inference(transitivity,[status(thm)],[16862, 16860])).
% 38.79/25.18 tff(16864,plain,
% 38.79/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16865,plain,
% 38.79/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0)),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16864, 16863])).
% 38.79/25.18 tff(16866,plain,
% 38.79/25.18 ((~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16865, 1337, 16776])).
% 38.79/25.18 tff(16867,plain,
% 38.79/25.18 ((~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16866, 16788])).
% 38.79/25.18 tff(16868,plain,
% 38.79/25.18 (v84(constB147, bitIndex0)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16867, 16859])).
% 38.79/25.18 tff(16869,plain,
% 38.79/25.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16870,plain,
% 38.79/25.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16871,plain,
% 38.79/25.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147)),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16870, 16869])).
% 38.79/25.18 tff(16872,plain,
% 38.79/25.18 (v145(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16871, 1356, 16868, 16834, 16797])).
% 38.79/25.18 tff(16873,plain,
% 38.79/25.18 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16874,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16875,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 38.79/25.18 tff(16876,plain,
% 38.79/25.18 (v112(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16875, 1367, 16872])).
% 38.79/25.18 tff(16877,plain,
% 38.79/25.18 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB147) | (~v112(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16878,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB147) | (~v112(constB147)))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16879,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB147) | (~v112(constB147))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16878, 16877])).
% 38.79/25.18 tff(16880,plain,
% 38.79/25.18 (v111(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16879, 292, 16876])).
% 38.79/25.18 tff(16881,plain,
% 38.79/25.18 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB147) | (~v111(constB147)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB147) | (~v111(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16882,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB147) | (~v111(constB147)))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16883,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB147) | (~v111(constB147))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16882, 16881])).
% 38.79/25.18 tff(16884,plain,
% 38.79/25.18 (v110(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16883, 303, 16880])).
% 38.79/25.18 tff(16885,plain,
% 38.79/25.18 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB147) | (~v110(constB147)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB147) | (~v110(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16886,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB147) | (~v110(constB147)))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16887,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB147) | (~v110(constB147))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16886, 16885])).
% 38.79/25.18 tff(16888,plain,
% 38.79/25.18 (v109(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16887, 314, 16884])).
% 38.79/25.18 tff(16889,plain,
% 38.79/25.18 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB147) | (~v109(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB147) | (~v109(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16890,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB147) | (~v109(constB147)))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16891,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB147) | (~v109(constB147))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 38.79/25.18 tff(16892,plain,
% 38.79/25.18 (v108(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16891, 325, 16888])).
% 38.79/25.18 tff(16893,plain,
% 38.79/25.18 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB147) | (~v108(constB147)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB147) | (~v108(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16894,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB147) | (~v108(constB147)))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16895,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB147) | (~v108(constB147))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16894, 16893])).
% 38.79/25.18 tff(16896,plain,
% 38.79/25.18 (v107(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16895, 336, 16892])).
% 38.79/25.18 tff(16897,assumption,(v26(constB147)), introduced(assumption)).
% 38.79/25.18 tff(16898,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16899,plain,
% 38.79/25.18 ($false),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16898, 120, 16897])).
% 38.79/25.18 tff(16900,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.18 tff(16901,plain,
% 38.79/25.18 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16902,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16903,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | (~v107(constB147)) | v106(constB147)),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16902, 16901])).
% 38.79/25.18 tff(16904,plain,
% 38.79/25.18 ((~v107(constB147)) | v106(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16903, 350, 16900])).
% 38.79/25.18 tff(16905,plain,
% 38.79/25.18 (v106(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16904, 16896])).
% 38.79/25.18 tff(16906,plain,
% 38.79/25.18 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB147) | (~v106(constB147)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB147) | (~v106(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16907,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB147) | (~v106(constB147)))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16908,plain,
% 38.79/25.18 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB147) | (~v106(constB147))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16907, 16906])).
% 38.79/25.18 tff(16909,plain,
% 38.79/25.18 (v102(constB147)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16908, 362, 16905])).
% 38.79/25.18 tff(16910,plain,
% 38.79/25.18 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16911,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 38.79/25.18 tff(16912,plain,
% 38.79/25.18 (nextState(constB147, constB148)),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16911, 16910])).
% 38.79/25.18 tff(16913,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16914,plain,
% 38.79/25.18 (((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16915,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))))),
% 38.79/25.18 inference(monotonicity,[status(thm)],[16914])).
% 38.79/25.18 tff(16916,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 38.79/25.18 inference(transitivity,[status(thm)],[16915, 16913])).
% 38.79/25.18 tff(16917,plain,
% 38.79/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16918,plain,
% 38.79/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16917, 16916])).
% 38.79/25.18 tff(16919,plain,
% 38.79/25.18 (v104(constB148) | (~v102(constB147))),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16918, 379, 16912])).
% 38.79/25.18 tff(16920,plain,
% 38.79/25.18 (v104(constB148)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16919, 16909])).
% 38.79/25.18 tff(16921,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16922,plain,
% 38.79/25.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16923,plain,
% 38.79/25.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148))),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16922, 16921])).
% 38.79/25.18 tff(16924,plain,
% 38.79/25.18 (~v98(constB148)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16923, 397, 16912, 16773])).
% 38.79/25.18 tff(16925,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16926,plain,
% 38.79/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 38.79/25.18 inference(quant_inst,[status(thm)],[])).
% 38.79/25.18 tff(16927,plain,
% 38.79/25.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148)),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16926, 16925])).
% 38.79/25.18 tff(16928,plain,
% 38.79/25.18 (v96(constB148) | v98(constB148)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16927, 411, 16912])).
% 38.79/25.18 tff(16929,plain,
% 38.79/25.18 (v96(constB148)),
% 38.79/25.18 inference(unit_resolution,[status(thm)],[16928, 16924])).
% 38.79/25.18 tff(16930,plain,
% 38.79/25.18 (v1(constB148) <=> v1(constB148)),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.18 tff(16931,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 38.79/25.18 tff(16932,plain,
% 38.79/25.18 (v1(constB148)),
% 38.79/25.18 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 38.79/25.18 tff(16933,plain,
% 38.79/25.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 38.79/25.18 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16934,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16935,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 38.79/25.19 tff(16936,plain,
% 38.79/25.19 (v95(constB148) | (~v96(constB148))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16935, 429, 16912, 16932])).
% 38.79/25.19 tff(16937,plain,
% 38.79/25.19 (v95(constB148)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16936, 16929])).
% 38.79/25.19 tff(16938,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16939,plain,
% 38.79/25.19 (((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148)) <=> ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16940,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148))))),
% 38.79/25.19 inference(monotonicity,[status(thm)],[16939])).
% 38.79/25.19 tff(16941,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 38.79/25.19 inference(transitivity,[status(thm)],[16940, 16938])).
% 38.79/25.19 tff(16942,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16943,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16942, 16941])).
% 38.79/25.19 tff(16944,plain,
% 38.79/25.19 (v94(constB148) | (~v95(constB148)) | (~v104(constB148))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16943, 444, 16912])).
% 38.79/25.19 tff(16945,plain,
% 38.79/25.19 (v94(constB148) | (~v104(constB148))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16944, 16937])).
% 38.79/25.19 tff(16946,plain,
% 38.79/25.19 (v94(constB148)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16945, 16920])).
% 38.79/25.19 tff(16947,plain,
% 38.79/25.19 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB147)) | v124(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB147)) | v124(constB147, bitIndex1))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16948,plain,
% 38.79/25.19 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB147)) | v124(constB147, bitIndex1))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16949,plain,
% 38.79/25.19 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB147)) | v124(constB147, bitIndex1)),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16948, 16947])).
% 38.79/25.19 tff(16950,plain,
% 38.79/25.19 (v124(constB147, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16949, 1513, 16872])).
% 38.79/25.19 tff(16951,plain,
% 38.79/25.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16952,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16953,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1)),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16952, 16951])).
% 38.79/25.19 tff(16954,plain,
% 38.79/25.19 ((~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16953, 875, 16900])).
% 38.79/25.19 tff(16955,plain,
% 38.79/25.19 (v121(constB147, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16954, 16950])).
% 38.79/25.19 tff(16956,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16957,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16958,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1)),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 38.79/25.19 tff(16959,plain,
% 38.79/25.19 ((~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16958, 890, 16912])).
% 38.79/25.19 tff(16960,plain,
% 38.79/25.19 (v123(constB148, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16959, 16955])).
% 38.79/25.19 tff(16961,plain,
% 38.79/25.19 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16962,plain,
% 38.79/25.19 ((v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1))) <=> (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16963,plain,
% 38.79/25.19 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148))))),
% 38.79/25.19 inference(monotonicity,[status(thm)],[16962])).
% 38.79/25.19 tff(16964,plain,
% 38.79/25.19 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 38.79/25.19 inference(transitivity,[status(thm)],[16963, 16961])).
% 38.79/25.19 tff(16965,plain,
% 38.79/25.19 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16966,plain,
% 38.79/25.19 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 38.79/25.19 tff(16967,plain,
% 38.79/25.19 (v84(constB148, bitIndex1) | (~v94(constB148))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16966, 905, 16960])).
% 38.79/25.19 tff(16968,plain,
% 38.79/25.19 (v84(constB148, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16967, 16946])).
% 38.79/25.19 tff(16969,plain,
% 38.79/25.19 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16970,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 38.79/25.19 tff(16971,plain,
% 38.79/25.19 (nextState(constB148, constB149)),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16970, 16969])).
% 38.79/25.19 tff(16972,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16973,plain,
% 38.79/25.19 (((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16974,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))))),
% 38.79/25.19 inference(monotonicity,[status(thm)],[16973])).
% 38.79/25.19 tff(16975,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 38.79/25.19 inference(transitivity,[status(thm)],[16974, 16972])).
% 38.79/25.19 tff(16976,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16977,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16976, 16975])).
% 38.79/25.19 tff(16978,plain,
% 38.79/25.19 (~v95(constB149)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16977, 175, 16971, 75])).
% 38.79/25.19 tff(16979,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16980,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16981,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16980, 16979])).
% 38.79/25.19 tff(16982,plain,
% 38.79/25.19 (v95(constB149) | (~v94(constB149))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16981, 192, 16971])).
% 38.79/25.19 tff(16983,plain,
% 38.79/25.19 (~v94(constB149)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16982, 16978])).
% 38.79/25.19 tff(16984,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16985,plain,
% 38.79/25.19 (((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1)) <=> ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16986,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1)))),
% 38.79/25.19 inference(monotonicity,[status(thm)],[16985])).
% 38.79/25.19 tff(16987,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 38.79/25.19 inference(transitivity,[status(thm)],[16986, 16984])).
% 38.79/25.19 tff(16988,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16989,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1)),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16988, 16987])).
% 38.79/25.19 tff(16990,plain,
% 38.79/25.19 ((~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16989, 923, 16971])).
% 38.79/25.19 tff(16991,plain,
% 38.79/25.19 ((~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16990, 16983])).
% 38.79/25.19 tff(16992,plain,
% 38.79/25.19 (v84(constB149, bitIndex1)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16991, 16968])).
% 38.79/25.19 tff(16993,plain,
% 38.79/25.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB149, bitIndex1)) | (~v145(constB149)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB149, bitIndex1)) | (~v145(constB149)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(16994,plain,
% 38.79/25.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB149, bitIndex1)) | (~v145(constB149)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(16995,plain,
% 38.79/25.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB149, bitIndex1)) | (~v145(constB149))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[16994, 16993])).
% 38.79/25.19 tff(16996,plain,
% 38.79/25.19 (~v145(constB149)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[16995, 1116, 16992])).
% 38.79/25.19 tff(16997,plain,
% 38.79/25.19 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v144(VarCurr))) <=> (v145(VarCurr) | (~v144(VarCurr))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(16998,plain,
% 38.79/25.19 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[16997])).
% 38.79/25.19 tff(16999,plain,
% 38.79/25.19 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17000,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_2')).
% 38.79/25.19 tff(17001,plain,
% 38.79/25.19 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 38.79/25.19 tff(17002,plain,(
% 38.79/25.19 ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(skolemize,[status(sab)],[17001])).
% 38.79/25.19 tff(17003,plain,
% 38.79/25.19 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17002, 16998])).
% 38.79/25.19 tff(17004,plain,
% 38.79/25.19 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB149) | (~v144(constB149)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB149) | (~v144(constB149)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17005,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB149) | (~v144(constB149)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17006,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB149) | (~v144(constB149))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17005, 17004])).
% 38.79/25.19 tff(17007,plain,
% 38.79/25.19 (~v144(constB149)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17006, 17003, 16996])).
% 38.79/25.19 tff(17008,plain,
% 38.79/25.19 (^[VarCurr: $i] : refl((v144(VarCurr) | (~v142(VarCurr))) <=> (v144(VarCurr) | (~v142(VarCurr))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17009,plain,
% 38.79/25.19 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[17008])).
% 38.79/25.19 tff(17010,plain,
% 38.79/25.19 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17011,axiom,(![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1_2')).
% 38.79/25.19 tff(17012,plain,
% 38.79/25.19 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 38.79/25.19 tff(17013,plain,(
% 38.79/25.19 ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 38.79/25.19 inference(skolemize,[status(sab)],[17012])).
% 38.79/25.19 tff(17014,plain,
% 38.79/25.19 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17013, 17009])).
% 38.79/25.19 tff(17015,plain,
% 38.79/25.19 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB149) | (~v142(constB149)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17016,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB149) | (~v142(constB149)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17017,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB149) | (~v142(constB149))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17016, 17015])).
% 38.79/25.19 tff(17018,plain,
% 38.79/25.19 (~v142(constB149)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17017, 17014, 17007])).
% 38.79/25.19 tff(17019,plain,
% 38.79/25.19 (^[VarCurr: $i] : refl((v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17020,plain,
% 38.79/25.19 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[17019])).
% 38.79/25.19 tff(17021,plain,
% 38.79/25.19 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17022,plain,
% 38.79/25.19 (^[VarCurr: $i] : trans(monotonicity(rewrite((v142(VarCurr) | v138(VarCurr)) <=> (v138(VarCurr) | v142(VarCurr))), (((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> ((v138(VarCurr) | v142(VarCurr)) | (~v135(VarCurr))))), rewrite(((v138(VarCurr) | v142(VarCurr)) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))), (((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17023,plain,
% 38.79/25.19 (![VarCurr: $i] : ((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[17022])).
% 38.79/25.19 tff(17024,axiom,(![VarCurr: $i] : ((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_33_1_3')).
% 38.79/25.19 tff(17025,plain,
% 38.79/25.19 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17024, 17023])).
% 38.79/25.19 tff(17026,plain,
% 38.79/25.19 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17025, 17021])).
% 38.79/25.19 tff(17027,plain,(
% 38.79/25.19 ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 38.79/25.19 inference(skolemize,[status(sab)],[17026])).
% 38.79/25.19 tff(17028,plain,
% 38.79/25.19 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17027, 17020])).
% 38.79/25.19 tff(17029,plain,
% 38.79/25.19 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB149) | v142(constB149) | (~v135(constB149)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB149) | v142(constB149) | (~v135(constB149)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17030,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB149) | v142(constB149) | (~v135(constB149)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17031,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB149) | v142(constB149) | (~v135(constB149))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17030, 17029])).
% 38.79/25.19 tff(17032,plain,
% 38.79/25.19 (v138(constB149) | (~v135(constB149))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17031, 17028, 17018])).
% 38.79/25.19 tff(17033,plain,
% 38.79/25.19 (~v135(constB149)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17032, 112])).
% 38.79/25.19 tff(17034,plain,
% 38.79/25.19 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17035,plain,
% 38.79/25.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[17034])).
% 38.79/25.19 tff(17036,plain,
% 38.79/25.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17037,plain,
% 38.79/25.19 (^[VarNext: $i, VarCurr: $i] : rewrite(((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17038,plain,
% 38.79/25.19 (![VarNext: $i, VarCurr: $i] : ((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[17037])).
% 38.79/25.19 tff(17039,axiom,(![VarNext: $i, VarCurr: $i] : ((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 38.79/25.19 tff(17040,plain,
% 38.79/25.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 38.79/25.19 tff(17041,plain,
% 38.79/25.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17040, 17036])).
% 38.79/25.19 tff(17042,plain,(
% 38.79/25.19 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 38.79/25.19 inference(skolemize,[status(sab)],[17041])).
% 38.79/25.19 tff(17043,plain,
% 38.79/25.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17042, 17035])).
% 38.79/25.19 tff(17044,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB149, constB150)) | v135(constB149) | (~v137(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB149, constB150)) | v135(constB149) | (~v137(constB150)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17045,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB149, constB150)) | v135(constB149) | (~v137(constB150)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17046,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB149, constB150)) | v135(constB149) | (~v137(constB150))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17045, 17044])).
% 38.79/25.19 tff(17047,plain,
% 38.79/25.19 (v135(constB149) | (~v137(constB150))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17046, 17043, 57])).
% 38.79/25.19 tff(17048,plain,
% 38.79/25.19 (~v137(constB150)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17047, 17033])).
% 38.79/25.19 tff(17049,plain,
% 38.79/25.19 (^[VarCurr: $i] : refl((v137(VarCurr) | (~v138(VarCurr))) <=> (v137(VarCurr) | (~v138(VarCurr))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17050,plain,
% 38.79/25.19 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[17049])).
% 38.79/25.19 tff(17051,plain,
% 38.79/25.19 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17052,axiom,(![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1_2')).
% 38.79/25.19 tff(17053,plain,
% 38.79/25.19 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17052, 17051])).
% 38.79/25.19 tff(17054,plain,(
% 38.79/25.19 ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 38.79/25.19 inference(skolemize,[status(sab)],[17053])).
% 38.79/25.19 tff(17055,plain,
% 38.79/25.19 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17054, 17050])).
% 38.79/25.19 tff(17056,plain,
% 38.79/25.19 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB150) | (~v138(constB150)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB150) | (~v138(constB150)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17057,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB150) | (~v138(constB150)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17058,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB150) | (~v138(constB150))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17057, 17056])).
% 38.79/25.19 tff(17059,plain,
% 38.79/25.19 (~v138(constB150)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17058, 17055, 17048])).
% 38.79/25.19 tff(17060,plain,
% 38.79/25.19 (^[VarCurr: $i] : refl(((~v1(VarCurr)) | (~v141(VarCurr))) <=> ((~v1(VarCurr)) | (~v141(VarCurr))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17061,plain,
% 38.79/25.19 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[17060])).
% 38.79/25.19 tff(17062,plain,
% 38.79/25.19 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17063,axiom,(![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28_1_1_2')).
% 38.79/25.19 tff(17064,plain,
% 38.79/25.19 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17063, 17062])).
% 38.79/25.19 tff(17065,plain,(
% 38.79/25.19 ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 38.79/25.19 inference(skolemize,[status(sab)],[17064])).
% 38.79/25.19 tff(17066,plain,
% 38.79/25.19 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17065, 17061])).
% 38.79/25.19 tff(17067,plain,
% 38.79/25.19 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB150)) | (~v141(constB150)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB150)) | (~v141(constB150)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17068,plain,
% 38.79/25.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB150)) | (~v141(constB150)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17069,plain,
% 38.79/25.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB150)) | (~v141(constB150))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17068, 17067])).
% 38.79/25.19 tff(17070,plain,
% 38.79/25.19 (~v141(constB150)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17069, 17066, 14])).
% 38.79/25.19 tff(17071,plain,
% 38.79/25.19 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v144(VarCurr))) <=> (v141(VarCurr) | (~v144(VarCurr))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17072,plain,
% 38.79/25.19 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(quant_intro,[status(thm)],[17071])).
% 38.79/25.19 tff(17073,plain,
% 38.79/25.19 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17074,axiom,(![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_3')).
% 38.79/25.19 tff(17075,plain,
% 38.79/25.19 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17074, 17073])).
% 38.79/25.19 tff(17076,plain,(
% 38.79/25.19 ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(skolemize,[status(sab)],[17075])).
% 38.79/25.19 tff(17077,plain,
% 38.79/25.19 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17076, 17072])).
% 38.79/25.19 tff(17078,plain,
% 38.79/25.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB150) | (~v144(constB150)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB150) | (~v144(constB150)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17079,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB150) | (~v144(constB150)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17080,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB150) | (~v144(constB150))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17079, 17078])).
% 38.79/25.19 tff(17081,plain,
% 38.79/25.19 (~v144(constB150)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17080, 17077, 17070])).
% 38.79/25.19 tff(17082,plain,
% 38.79/25.19 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB150) | (~v142(constB150)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB150) | (~v142(constB150)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17083,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB150) | (~v142(constB150)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17084,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB150) | (~v142(constB150))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17083, 17082])).
% 38.79/25.19 tff(17085,plain,
% 38.79/25.19 (~v142(constB150)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17084, 17014, 17081])).
% 38.79/25.19 tff(17086,plain,
% 38.79/25.19 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB150) | v142(constB150) | (~v135(constB150)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB150) | v142(constB150) | (~v135(constB150)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17087,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB150) | v142(constB150) | (~v135(constB150)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17088,plain,
% 38.79/25.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB150) | v142(constB150) | (~v135(constB150))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17087, 17086])).
% 38.79/25.19 tff(17089,plain,
% 38.79/25.19 (v138(constB150) | (~v135(constB150))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17088, 17028, 17085])).
% 38.79/25.19 tff(17090,plain,
% 38.79/25.19 (~v135(constB150)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17089, 17059])).
% 38.79/25.19 tff(17091,plain,
% 38.79/25.19 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17092,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 38.79/25.19 tff(17093,plain,
% 38.79/25.19 (nextState(constB150, constB151)),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17092, 17091])).
% 38.79/25.19 tff(17094,plain,
% 38.79/25.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB150, constB151)) | v135(constB150) | (~v137(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB150, constB151)) | v135(constB150) | (~v137(constB151)))),
% 38.79/25.19 inference(rewrite,[status(thm)],[])).
% 38.79/25.19 tff(17095,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB150, constB151)) | v135(constB150) | (~v137(constB151)))),
% 38.79/25.19 inference(quant_inst,[status(thm)],[])).
% 38.79/25.19 tff(17096,plain,
% 38.79/25.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB150, constB151)) | v135(constB150) | (~v137(constB151))),
% 38.79/25.19 inference(modus_ponens,[status(thm)],[17095, 17094])).
% 38.79/25.19 tff(17097,plain,
% 38.79/25.19 (v135(constB150) | (~v137(constB151))),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17096, 17043, 17093])).
% 38.79/25.19 tff(17098,plain,
% 38.79/25.19 (~v137(constB151)),
% 38.79/25.19 inference(unit_resolution,[status(thm)],[17097, 17090])).
% 38.79/25.19 tff(17099,plain,
% 38.79/25.19 (^[VarCurr: $i] : refl((v137(VarCurr) | (~v154(VarCurr))) <=> (v137(VarCurr) | (~v154(VarCurr))))),
% 38.79/25.19 inference(bind,[status(th)],[])).
% 38.79/25.19 tff(17100,plain,
% 38.79/25.19 (![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17099])).
% 38.79/25.20 tff(17101,plain,
% 38.79/25.20 (![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17102,axiom,(![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1_3')).
% 38.79/25.20 tff(17103,plain,
% 38.79/25.20 (![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17102, 17101])).
% 38.79/25.20 tff(17104,plain,(
% 38.79/25.20 ![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17103])).
% 38.79/25.20 tff(17105,plain,
% 38.79/25.20 (![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17104, 17100])).
% 38.79/25.20 tff(17106,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB151) | (~v154(constB151)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB151) | (~v154(constB151)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17107,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB151) | (~v154(constB151)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17108,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB151) | (~v154(constB151))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17107, 17106])).
% 38.79/25.20 tff(17109,plain,
% 38.79/25.20 (~v154(constB151)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17108, 17105, 17098])).
% 38.79/25.20 tff(17110,assumption,(v18(constB152)), introduced(assumption)).
% 38.79/25.20 tff(17111,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB152))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17112,plain,
% 38.79/25.20 ($false),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17111, 8, 17110])).
% 38.79/25.20 tff(17113,plain,(~v18(constB152)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.20 tff(17114,plain,
% 38.79/25.20 (v1(constB152) <=> v1(constB152)),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17115,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 38.79/25.20 tff(17116,plain,
% 38.79/25.20 (v1(constB152)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17115, 17114])).
% 38.79/25.20 tff(17117,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17118,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17119,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 38.79/25.20 tff(17120,plain,
% 38.79/25.20 (v22(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17119, 21, 17116])).
% 38.79/25.20 tff(17121,plain,
% 38.79/25.20 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB152)) | (~v22(constB152)) | v18(constB152))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB152)) | (~v22(constB152)) | v18(constB152))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17122,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB152)) | (~v22(constB152)) | v18(constB152))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17123,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB152)) | (~v22(constB152)) | v18(constB152)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 38.79/25.20 tff(17124,plain,
% 38.79/25.20 ((~v19(constB152)) | v18(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17123, 35, 17120])).
% 38.79/25.20 tff(17125,plain,
% 38.79/25.20 (~v19(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17124, 17113])).
% 38.79/25.20 tff(17126,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17127,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17128,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 38.79/25.20 tff(17129,plain,
% 38.79/25.20 (v13(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17128, 50, 17125])).
% 38.79/25.20 tff(17130,plain,
% 38.79/25.20 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17131,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 38.79/25.20 tff(17132,plain,
% 38.79/25.20 (nextState(constB151, constB152)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17131, 17130])).
% 38.79/25.20 tff(17133,plain,
% 38.79/25.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17134,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17135,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17134, 17133])).
% 38.79/25.20 tff(17136,plain,
% 38.79/25.20 ((~v13(constB152)) | v9(constB151)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17135, 67, 17132])).
% 38.79/25.20 tff(17137,plain,
% 38.79/25.20 (v9(constB151)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17136, 17129])).
% 38.79/25.20 tff(17138,plain,
% 38.79/25.20 ((~v1(constB151)) <=> (~v1(constB151))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17139,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 38.79/25.20 tff(17140,plain,
% 38.79/25.20 (~v1(constB151)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17139, 17138])).
% 38.79/25.20 tff(17141,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v141(constB151))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB151) | (~v9(constB151)) | v141(constB151))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17142,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v141(constB151))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17143,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB151) | (~v9(constB151)) | v141(constB151)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17142, 17141])).
% 38.79/25.20 tff(17144,plain,
% 38.79/25.20 ((~v9(constB151)) | v141(constB151)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17143, 85, 17140])).
% 38.79/25.20 tff(17145,plain,
% 38.79/25.20 (v141(constB151)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17144, 17137])).
% 38.79/25.20 tff(17146,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB151) | (~v141(constB151)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB151) | (~v141(constB151)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17147,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB151) | (~v141(constB151)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17148,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB151) | (~v141(constB151))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17147, 17146])).
% 38.79/25.20 tff(17149,plain,
% 38.79/25.20 (v140(constB151)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17148, 97, 17145])).
% 38.79/25.20 tff(17150,plain,
% 38.79/25.20 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v153(VarCurr))) <=> ((~v140(VarCurr)) | (~v153(VarCurr))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17151,plain,
% 38.79/25.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17150])).
% 38.79/25.20 tff(17152,plain,
% 38.79/25.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17153,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_34_1_1_3')).
% 38.79/25.20 tff(17154,plain,
% 38.79/25.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17153, 17152])).
% 38.79/25.20 tff(17155,plain,(
% 38.79/25.20 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17154])).
% 38.79/25.20 tff(17156,plain,
% 38.79/25.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17155, 17151])).
% 38.79/25.20 tff(17157,plain,
% 38.79/25.20 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB151)) | (~v153(constB151)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB151)) | (~v153(constB151)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17158,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB151)) | (~v153(constB151)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17159,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB151)) | (~v153(constB151))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17158, 17157])).
% 38.79/25.20 tff(17160,plain,
% 38.79/25.20 (~v153(constB151)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17159, 17156, 17149])).
% 38.79/25.20 tff(17161,plain,
% 38.79/25.20 (^[VarCurr: $i] : refl((v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17162,plain,
% 38.79/25.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17161])).
% 38.79/25.20 tff(17163,plain,
% 38.79/25.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17164,plain,
% 38.79/25.20 (^[VarCurr: $i] : trans(monotonicity(rewrite((v154(VarCurr) | v153(VarCurr)) <=> (v153(VarCurr) | v154(VarCurr))), (((v154(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> ((v153(VarCurr) | v154(VarCurr)) | (~v150(VarCurr))))), rewrite(((v153(VarCurr) | v154(VarCurr)) | (~v150(VarCurr))) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))), (((v154(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17165,plain,
% 38.79/25.20 (![VarCurr: $i] : ((v154(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17164])).
% 38.79/25.20 tff(17166,axiom,(![VarCurr: $i] : ((v154(VarCurr) | v153(VarCurr)) | (~v150(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_3')).
% 38.79/25.20 tff(17167,plain,
% 38.79/25.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17166, 17165])).
% 38.79/25.20 tff(17168,plain,
% 38.79/25.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17167, 17163])).
% 38.79/25.20 tff(17169,plain,(
% 38.79/25.20 ![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17168])).
% 38.79/25.20 tff(17170,plain,
% 38.79/25.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17169, 17162])).
% 38.79/25.20 tff(17171,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB151) | v154(constB151) | (~v150(constB151)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB151) | v154(constB151) | (~v150(constB151)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17172,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB151) | v154(constB151) | (~v150(constB151)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17173,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB151) | v154(constB151) | (~v150(constB151))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17172, 17171])).
% 38.79/25.20 tff(17174,plain,
% 38.79/25.20 (v154(constB151) | (~v150(constB151))),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17173, 17170, 17160])).
% 38.79/25.20 tff(17175,plain,
% 38.79/25.20 (~v150(constB151)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17174, 17109])).
% 38.79/25.20 tff(17176,plain,
% 38.79/25.20 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17177,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17176])).
% 38.79/25.20 tff(17178,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17179,plain,
% 38.79/25.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17180,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17179])).
% 38.79/25.20 tff(17181,axiom,(![VarNext: $i, VarCurr: $i] : ((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_9_1_2')).
% 38.79/25.20 tff(17182,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17181, 17180])).
% 38.79/25.20 tff(17183,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17182, 17178])).
% 38.79/25.20 tff(17184,plain,(
% 38.79/25.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17183])).
% 38.79/25.20 tff(17185,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17184, 17177])).
% 38.79/25.20 tff(17186,plain,
% 38.79/25.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB151, constB152)) | v150(constB151) | (~v152(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB151, constB152)) | v150(constB151) | (~v152(constB152)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17187,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB151, constB152)) | v150(constB151) | (~v152(constB152)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17188,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB151, constB152)) | v150(constB151) | (~v152(constB152))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17187, 17186])).
% 38.79/25.20 tff(17189,plain,
% 38.79/25.20 (v150(constB151) | (~v152(constB152))),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17188, 17185, 17132])).
% 38.79/25.20 tff(17190,plain,
% 38.79/25.20 (~v152(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17189, 17175])).
% 38.79/25.20 tff(17191,plain,
% 38.79/25.20 (^[VarCurr: $i] : refl((v152(VarCurr) | (~v153(VarCurr))) <=> (v152(VarCurr) | (~v153(VarCurr))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17192,plain,
% 38.79/25.20 (![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17191])).
% 38.79/25.20 tff(17193,plain,
% 38.79/25.20 (![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17194,axiom,(![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_34_1_1_2')).
% 38.79/25.20 tff(17195,plain,
% 38.79/25.20 (![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17194, 17193])).
% 38.79/25.20 tff(17196,plain,(
% 38.79/25.20 ![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17195])).
% 38.79/25.20 tff(17197,plain,
% 38.79/25.20 (![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17196, 17192])).
% 38.79/25.20 tff(17198,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB152) | (~v153(constB152)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB152) | (~v153(constB152)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17199,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB152) | (~v153(constB152)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17200,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB152) | (~v153(constB152))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17199, 17198])).
% 38.79/25.20 tff(17201,plain,
% 38.79/25.20 (~v153(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17200, 17197, 17190])).
% 38.79/25.20 tff(17202,plain,
% 38.79/25.20 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB152)) | (~v141(constB152)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB152)) | (~v141(constB152)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17203,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB152)) | (~v141(constB152)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17204,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB152)) | (~v141(constB152))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17203, 17202])).
% 38.79/25.20 tff(17205,plain,
% 38.79/25.20 (~v141(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17204, 17066, 17116])).
% 38.79/25.20 tff(17206,plain,
% 38.79/25.20 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v155(VarCurr))) <=> (v141(VarCurr) | (~v155(VarCurr))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17207,plain,
% 38.79/25.20 (![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17206])).
% 38.79/25.20 tff(17208,plain,
% 38.79/25.20 (![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17209,axiom,(![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_35_1_1_2')).
% 38.79/25.20 tff(17210,plain,
% 38.79/25.20 (![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17209, 17208])).
% 38.79/25.20 tff(17211,plain,(
% 38.79/25.20 ![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17210])).
% 38.79/25.20 tff(17212,plain,
% 38.79/25.20 (![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17211, 17207])).
% 38.79/25.20 tff(17213,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB152) | (~v155(constB152)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB152) | (~v155(constB152)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17214,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB152) | (~v155(constB152)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17215,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB152) | (~v155(constB152))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17214, 17213])).
% 38.79/25.20 tff(17216,plain,
% 38.79/25.20 (~v155(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17215, 17212, 17205])).
% 38.79/25.20 tff(17217,plain,
% 38.79/25.20 (^[VarCurr: $i] : refl((v155(VarCurr) | (~v154(VarCurr))) <=> (v155(VarCurr) | (~v154(VarCurr))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17218,plain,
% 38.79/25.20 (![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17217])).
% 38.79/25.20 tff(17219,plain,
% 38.79/25.20 (![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17220,axiom,(![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1_2')).
% 38.79/25.20 tff(17221,plain,
% 38.79/25.20 (![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17220, 17219])).
% 38.79/25.20 tff(17222,plain,(
% 38.79/25.20 ![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17221])).
% 38.79/25.20 tff(17223,plain,
% 38.79/25.20 (![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17222, 17218])).
% 38.79/25.20 tff(17224,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB152) | (~v154(constB152)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB152) | (~v154(constB152)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17225,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB152) | (~v154(constB152)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17226,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB152) | (~v154(constB152))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 38.79/25.20 tff(17227,plain,
% 38.79/25.20 (~v154(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17226, 17223, 17216])).
% 38.79/25.20 tff(17228,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB152) | v154(constB152) | (~v150(constB152)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB152) | v154(constB152) | (~v150(constB152)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17229,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB152) | v154(constB152) | (~v150(constB152)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17230,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB152) | v154(constB152) | (~v150(constB152))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17229, 17228])).
% 38.79/25.20 tff(17231,plain,
% 38.79/25.20 (v153(constB152) | (~v150(constB152))),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17230, 17170, 17227])).
% 38.79/25.20 tff(17232,plain,
% 38.79/25.20 (~v150(constB152)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17231, 17201])).
% 38.79/25.20 tff(17233,plain,
% 38.79/25.20 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17234,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 38.79/25.20 tff(17235,plain,
% 38.79/25.20 (nextState(constB152, constB153)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 38.79/25.20 tff(17236,plain,
% 38.79/25.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB152, constB153)) | v150(constB152) | (~v152(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB152, constB153)) | v150(constB152) | (~v152(constB153)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17237,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB152, constB153)) | v150(constB152) | (~v152(constB153)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17238,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB152, constB153)) | v150(constB152) | (~v152(constB153))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17237, 17236])).
% 38.79/25.20 tff(17239,plain,
% 38.79/25.20 (v150(constB152) | (~v152(constB153))),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17238, 17185, 17235])).
% 38.79/25.20 tff(17240,plain,
% 38.79/25.20 (~v152(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17239, 17232])).
% 38.79/25.20 tff(17241,plain,
% 38.79/25.20 (^[VarCurr: $i] : refl((v152(VarCurr) | (~v164(VarCurr))) <=> (v152(VarCurr) | (~v164(VarCurr))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17242,plain,
% 38.79/25.20 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17241])).
% 38.79/25.20 tff(17243,plain,
% 38.79/25.20 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17244,axiom,(![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_2')).
% 38.79/25.20 tff(17245,plain,
% 38.79/25.20 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17244, 17243])).
% 38.79/25.20 tff(17246,plain,(
% 38.79/25.20 ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17245])).
% 38.79/25.20 tff(17247,plain,
% 38.79/25.20 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17246, 17242])).
% 38.79/25.20 tff(17248,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB153) | (~v164(constB153)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB153) | (~v164(constB153)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17249,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB153) | (~v164(constB153)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17250,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB153) | (~v164(constB153))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17249, 17248])).
% 38.79/25.20 tff(17251,plain,
% 38.79/25.20 (~v164(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17250, 17247, 17240])).
% 38.79/25.20 tff(17252,assumption,(v18(constB154)), introduced(assumption)).
% 38.79/25.20 tff(17253,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB154))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17254,plain,
% 38.79/25.20 ($false),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17253, 8, 17252])).
% 38.79/25.20 tff(17255,plain,(~v18(constB154)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.20 tff(17256,plain,
% 38.79/25.20 (v1(constB154) <=> v1(constB154)),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17257,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 38.79/25.20 tff(17258,plain,
% 38.79/25.20 (v1(constB154)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17257, 17256])).
% 38.79/25.20 tff(17259,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17260,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17261,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17260, 17259])).
% 38.79/25.20 tff(17262,plain,
% 38.79/25.20 (v22(constB154)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17261, 21, 17258])).
% 38.79/25.20 tff(17263,plain,
% 38.79/25.20 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB154)) | (~v22(constB154)) | v18(constB154))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB154)) | (~v22(constB154)) | v18(constB154))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17264,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB154)) | (~v22(constB154)) | v18(constB154))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17265,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB154)) | (~v22(constB154)) | v18(constB154)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17264, 17263])).
% 38.79/25.20 tff(17266,plain,
% 38.79/25.20 ((~v19(constB154)) | v18(constB154)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17265, 35, 17262])).
% 38.79/25.20 tff(17267,plain,
% 38.79/25.20 (~v19(constB154)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17266, 17255])).
% 38.79/25.20 tff(17268,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17269,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17270,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 38.79/25.20 tff(17271,plain,
% 38.79/25.20 (v13(constB154)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17270, 50, 17267])).
% 38.79/25.20 tff(17272,plain,
% 38.79/25.20 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17273,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 38.79/25.20 tff(17274,plain,
% 38.79/25.20 (nextState(constB153, constB154)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17273, 17272])).
% 38.79/25.20 tff(17275,plain,
% 38.79/25.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17276,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17277,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 38.79/25.20 tff(17278,plain,
% 38.79/25.20 ((~v13(constB154)) | v9(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17277, 67, 17274])).
% 38.79/25.20 tff(17279,plain,
% 38.79/25.20 (v9(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17278, 17271])).
% 38.79/25.20 tff(17280,plain,
% 38.79/25.20 ((~v1(constB153)) <=> (~v1(constB153))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17281,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 38.79/25.20 tff(17282,plain,
% 38.79/25.20 (~v1(constB153)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 38.79/25.20 tff(17283,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v141(constB153))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB153) | (~v9(constB153)) | v141(constB153))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17284,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v141(constB153))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17285,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB153) | (~v9(constB153)) | v141(constB153)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17284, 17283])).
% 38.79/25.20 tff(17286,plain,
% 38.79/25.20 ((~v9(constB153)) | v141(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17285, 85, 17282])).
% 38.79/25.20 tff(17287,plain,
% 38.79/25.20 (v141(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17286, 17279])).
% 38.79/25.20 tff(17288,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB153) | (~v141(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB153) | (~v141(constB153)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17289,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB153) | (~v141(constB153)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17290,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB153) | (~v141(constB153))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17289, 17288])).
% 38.79/25.20 tff(17291,plain,
% 38.79/25.20 (v140(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17290, 97, 17287])).
% 38.79/25.20 tff(17292,plain,
% 38.79/25.20 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v163(VarCurr))) <=> ((~v140(VarCurr)) | (~v163(VarCurr))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17293,plain,
% 38.79/25.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17292])).
% 38.79/25.20 tff(17294,plain,
% 38.79/25.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17295,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_3')).
% 38.79/25.20 tff(17296,plain,
% 38.79/25.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 38.79/25.20 tff(17297,plain,(
% 38.79/25.20 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17296])).
% 38.79/25.20 tff(17298,plain,
% 38.79/25.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17297, 17293])).
% 38.79/25.20 tff(17299,plain,
% 38.79/25.20 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB153)) | (~v163(constB153)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB153)) | (~v163(constB153)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17300,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB153)) | (~v163(constB153)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17301,plain,
% 38.79/25.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB153)) | (~v163(constB153))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17300, 17299])).
% 38.79/25.20 tff(17302,plain,
% 38.79/25.20 (~v163(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17301, 17298, 17291])).
% 38.79/25.20 tff(17303,plain,
% 38.79/25.20 (^[VarCurr: $i] : refl((v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17304,plain,
% 38.79/25.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17303])).
% 38.79/25.20 tff(17305,plain,
% 38.79/25.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17306,plain,
% 38.79/25.20 (^[VarCurr: $i] : trans(monotonicity(rewrite((v164(VarCurr) | v163(VarCurr)) <=> (v164(VarCurr) | v163(VarCurr))), (((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))))), rewrite(((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))), (((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17307,plain,
% 38.79/25.20 (![VarCurr: $i] : ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17306])).
% 38.79/25.20 tff(17308,axiom,(![VarCurr: $i] : ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40_1_3')).
% 38.79/25.20 tff(17309,plain,
% 38.79/25.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17308, 17307])).
% 38.79/25.20 tff(17310,plain,
% 38.79/25.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17309, 17305])).
% 38.79/25.20 tff(17311,plain,(
% 38.79/25.20 ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17310])).
% 38.79/25.20 tff(17312,plain,
% 38.79/25.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17311, 17304])).
% 38.79/25.20 tff(17313,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB153)) | v163(constB153) | v164(constB153))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB153)) | v163(constB153) | v164(constB153))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17314,plain,
% 38.79/25.20 ((v164(constB153) | v163(constB153) | (~v160(constB153))) <=> ((~v160(constB153)) | v163(constB153) | v164(constB153))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17315,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB153) | v163(constB153) | (~v160(constB153)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB153)) | v163(constB153) | v164(constB153)))),
% 38.79/25.20 inference(monotonicity,[status(thm)],[17314])).
% 38.79/25.20 tff(17316,plain,
% 38.79/25.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB153) | v163(constB153) | (~v160(constB153)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB153)) | v163(constB153) | v164(constB153))),
% 38.79/25.20 inference(transitivity,[status(thm)],[17315, 17313])).
% 38.79/25.20 tff(17317,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB153) | v163(constB153) | (~v160(constB153)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.20 tff(17318,plain,
% 38.79/25.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB153)) | v163(constB153) | v164(constB153)),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17317, 17316])).
% 38.79/25.20 tff(17319,plain,
% 38.79/25.20 ((~v160(constB153)) | v164(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17318, 17312, 17302])).
% 38.79/25.20 tff(17320,plain,
% 38.79/25.20 (~v160(constB153)),
% 38.79/25.20 inference(unit_resolution,[status(thm)],[17319, 17251])).
% 38.79/25.20 tff(17321,plain,
% 38.79/25.20 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17322,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17321])).
% 38.79/25.20 tff(17323,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17324,plain,
% 38.79/25.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))))),
% 38.79/25.20 inference(bind,[status(th)],[])).
% 38.79/25.20 tff(17325,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 38.79/25.20 inference(quant_intro,[status(thm)],[17324])).
% 38.79/25.20 tff(17326,axiom,(![VarNext: $i, VarCurr: $i] : ((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_10_1_2')).
% 38.79/25.20 tff(17327,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17326, 17325])).
% 38.79/25.20 tff(17328,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17327, 17323])).
% 38.79/25.20 tff(17329,plain,(
% 38.79/25.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 38.79/25.20 inference(skolemize,[status(sab)],[17328])).
% 38.79/25.20 tff(17330,plain,
% 38.79/25.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 38.79/25.20 inference(modus_ponens,[status(thm)],[17329, 17322])).
% 38.79/25.20 tff(17331,plain,
% 38.79/25.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB153, constB154)) | v160(constB153) | (~v162(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB153, constB154)) | v160(constB153) | (~v162(constB154)))),
% 38.79/25.20 inference(rewrite,[status(thm)],[])).
% 38.79/25.20 tff(17332,plain,
% 38.79/25.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB153, constB154)) | v160(constB153) | (~v162(constB154)))),
% 38.79/25.20 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17333,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB153, constB154)) | v160(constB153) | (~v162(constB154))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17332, 17331])).
% 38.79/25.21 tff(17334,plain,
% 38.79/25.21 (v160(constB153) | (~v162(constB154))),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17333, 17330, 17274])).
% 38.79/25.21 tff(17335,plain,
% 38.79/25.21 (~v162(constB154)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17334, 17320])).
% 38.79/25.21 tff(17336,plain,
% 38.79/25.21 (^[VarCurr: $i] : refl((v162(VarCurr) | (~v163(VarCurr))) <=> (v162(VarCurr) | (~v163(VarCurr))))),
% 38.79/25.21 inference(bind,[status(th)],[])).
% 38.79/25.21 tff(17337,plain,
% 38.79/25.21 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 38.79/25.21 inference(quant_intro,[status(thm)],[17336])).
% 38.79/25.21 tff(17338,plain,
% 38.79/25.21 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17339,axiom,(![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 38.79/25.21 tff(17340,plain,
% 38.79/25.21 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17339, 17338])).
% 38.79/25.21 tff(17341,plain,(
% 38.79/25.21 ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 38.79/25.21 inference(skolemize,[status(sab)],[17340])).
% 38.79/25.21 tff(17342,plain,
% 38.79/25.21 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17341, 17337])).
% 38.79/25.21 tff(17343,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB154) | (~v163(constB154)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB154) | (~v163(constB154)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17344,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB154) | (~v163(constB154)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17345,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB154) | (~v163(constB154))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17344, 17343])).
% 38.79/25.21 tff(17346,plain,
% 38.79/25.21 (~v163(constB154)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17345, 17342, 17335])).
% 38.79/25.21 tff(17347,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB154)) | (~v141(constB154)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB154)) | (~v141(constB154)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17348,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB154)) | (~v141(constB154)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17349,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB154)) | (~v141(constB154))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17348, 17347])).
% 38.79/25.21 tff(17350,plain,
% 38.79/25.21 (~v141(constB154)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17349, 17066, 17258])).
% 38.79/25.21 tff(17351,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB154) | (~v155(constB154)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB154) | (~v155(constB154)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17352,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB154) | (~v155(constB154)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17353,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB154) | (~v155(constB154))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17352, 17351])).
% 38.79/25.21 tff(17354,plain,
% 38.79/25.21 (~v155(constB154)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17353, 17212, 17350])).
% 38.79/25.21 tff(17355,plain,
% 38.79/25.21 (^[VarCurr: $i] : refl((v155(VarCurr) | (~v164(VarCurr))) <=> (v155(VarCurr) | (~v164(VarCurr))))),
% 38.79/25.21 inference(bind,[status(th)],[])).
% 38.79/25.21 tff(17356,plain,
% 38.79/25.21 (![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.21 inference(quant_intro,[status(thm)],[17355])).
% 38.79/25.21 tff(17357,plain,
% 38.79/25.21 (![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17358,axiom,(![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_3')).
% 38.79/25.21 tff(17359,plain,
% 38.79/25.21 (![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 38.79/25.21 tff(17360,plain,(
% 38.79/25.21 ![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.21 inference(skolemize,[status(sab)],[17359])).
% 38.79/25.21 tff(17361,plain,
% 38.79/25.21 (![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17360, 17356])).
% 38.79/25.21 tff(17362,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB154) | (~v164(constB154)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB154) | (~v164(constB154)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17363,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB154) | (~v164(constB154)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17364,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB154) | (~v164(constB154))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17363, 17362])).
% 38.79/25.21 tff(17365,plain,
% 38.79/25.21 (~v164(constB154)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17364, 17361, 17354])).
% 38.79/25.21 tff(17366,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB154)) | v164(constB154) | v163(constB154))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB154)) | v164(constB154) | v163(constB154))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17367,plain,
% 38.79/25.21 ((v164(constB154) | v163(constB154) | (~v160(constB154))) <=> ((~v160(constB154)) | v164(constB154) | v163(constB154))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17368,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB154) | v163(constB154) | (~v160(constB154)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB154)) | v164(constB154) | v163(constB154)))),
% 38.79/25.21 inference(monotonicity,[status(thm)],[17367])).
% 38.79/25.21 tff(17369,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB154) | v163(constB154) | (~v160(constB154)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB154)) | v164(constB154) | v163(constB154))),
% 38.79/25.21 inference(transitivity,[status(thm)],[17368, 17366])).
% 38.79/25.21 tff(17370,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB154) | v163(constB154) | (~v160(constB154)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17371,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB154)) | v164(constB154) | v163(constB154)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 38.79/25.21 tff(17372,plain,
% 38.79/25.21 ((~v160(constB154)) | v163(constB154)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17371, 17312, 17365])).
% 38.79/25.21 tff(17373,plain,
% 38.79/25.21 (~v160(constB154)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17372, 17346])).
% 38.79/25.21 tff(17374,plain,
% 38.79/25.21 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17375,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 38.79/25.21 tff(17376,plain,
% 38.79/25.21 (nextState(constB154, constB155)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17375, 17374])).
% 38.79/25.21 tff(17377,plain,
% 38.79/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB154, constB155)) | v160(constB154) | (~v162(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB154, constB155)) | v160(constB154) | (~v162(constB155)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17378,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB154, constB155)) | v160(constB154) | (~v162(constB155)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17379,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB154, constB155)) | v160(constB154) | (~v162(constB155))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17378, 17377])).
% 38.79/25.21 tff(17380,plain,
% 38.79/25.21 (v160(constB154) | (~v162(constB155))),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17379, 17330, 17376])).
% 38.79/25.21 tff(17381,plain,
% 38.79/25.21 (~v162(constB155)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17380, 17373])).
% 38.79/25.21 tff(17382,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 38.79/25.21 tff(17383,plain,
% 38.79/25.21 (v162(constB155) <=> v162(sK0_VarCurr)),
% 38.79/25.21 inference(monotonicity,[status(thm)],[17382])).
% 38.79/25.21 tff(17384,plain,
% 38.79/25.21 (v162(sK0_VarCurr) <=> v162(constB155)),
% 38.79/25.21 inference(symmetry,[status(thm)],[17383])).
% 38.79/25.21 tff(17385,plain,
% 38.79/25.21 (v168(sK0_VarCurr) <=> v168(sK0_VarCurr)),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17386,axiom,(v168(sK0_VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 38.79/25.21 tff(17387,plain,
% 38.79/25.21 (v168(sK0_VarCurr)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17386, 17385])).
% 38.79/25.21 tff(17388,plain,
% 38.79/25.21 (^[VarCurr: $i] : refl((v162(VarCurr) | (~v168(VarCurr))) <=> (v162(VarCurr) | (~v168(VarCurr))))),
% 38.79/25.21 inference(bind,[status(th)],[])).
% 38.79/25.21 tff(17389,plain,
% 38.79/25.21 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 38.79/25.21 inference(quant_intro,[status(thm)],[17388])).
% 38.79/25.21 tff(17390,plain,
% 38.79/25.21 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17391,axiom,(![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1_2')).
% 38.79/25.21 tff(17392,plain,
% 38.79/25.21 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17391, 17390])).
% 38.79/25.21 tff(17393,plain,(
% 38.79/25.21 ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 38.79/25.21 inference(skolemize,[status(sab)],[17392])).
% 38.79/25.21 tff(17394,plain,
% 38.79/25.21 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17393, 17389])).
% 38.79/25.21 tff(17395,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17396,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17397,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17396, 17395])).
% 38.79/25.21 tff(17398,plain,
% 38.79/25.21 (v162(sK0_VarCurr)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17397, 17394, 17387])).
% 38.79/25.21 tff(17399,plain,
% 38.79/25.21 (v162(constB155)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17398, 17384])).
% 38.79/25.21 tff(17400,assumption,(~v162(constB155)), introduced(assumption)).
% 38.79/25.21 tff(17401,plain,
% 38.79/25.21 ($false),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17400, 17399])).
% 38.79/25.21 tff(17402,plain,((~(constB155 = sK0_VarCurr)) | v162(constB155)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.21 tff(17403,plain,
% 38.79/25.21 (~(constB155 = sK0_VarCurr)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17402, 17381])).
% 38.79/25.21 tff(17404,assumption,(v18(constB92)), introduced(assumption)).
% 38.79/25.21 tff(17405,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB92))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17406,plain,
% 38.79/25.21 ($false),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17405, 8, 17404])).
% 38.79/25.21 tff(17407,plain,(~v18(constB92)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.21 tff(17408,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17409,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17410,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17409, 17408])).
% 38.79/25.21 tff(17411,plain,
% 38.79/25.21 (v22(constB92)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17410, 21, 11176])).
% 38.79/25.21 tff(17412,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB92)) | (~v22(constB92)) | v18(constB92))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB92)) | (~v22(constB92)) | v18(constB92))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17413,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB92)) | (~v22(constB92)) | v18(constB92))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17414,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB92)) | (~v22(constB92)) | v18(constB92)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17413, 17412])).
% 38.79/25.21 tff(17415,plain,
% 38.79/25.21 ((~v19(constB92)) | v18(constB92)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17414, 35, 17411])).
% 38.79/25.21 tff(17416,plain,
% 38.79/25.21 (~v19(constB92)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17415, 17407])).
% 38.79/25.21 tff(17417,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17418,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17419,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17418, 17417])).
% 38.79/25.21 tff(17420,plain,
% 38.79/25.21 (v13(constB92)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17419, 50, 17416])).
% 38.79/25.21 tff(17421,plain,
% 38.79/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17422,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17423,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17422, 17421])).
% 38.79/25.21 tff(17424,plain,
% 38.79/25.21 ((~v13(constB92)) | v9(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17423, 67, 11156])).
% 38.79/25.21 tff(17425,plain,
% 38.79/25.21 (v9(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17424, 17420])).
% 38.79/25.21 tff(17426,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v141(constB91))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB91) | (~v9(constB91)) | v141(constB91))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17427,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v141(constB91))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17428,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB91) | (~v9(constB91)) | v141(constB91)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17427, 17426])).
% 38.79/25.21 tff(17429,plain,
% 38.79/25.21 ((~v9(constB91)) | v141(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17428, 85, 10681])).
% 38.79/25.21 tff(17430,plain,
% 38.79/25.21 (v141(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17429, 17425])).
% 38.79/25.21 tff(17431,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB91) | (~v141(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB91) | (~v141(constB91)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17432,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB91) | (~v141(constB91)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17433,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB91) | (~v141(constB91))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 38.79/25.21 tff(17434,plain,
% 38.79/25.21 (v140(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17433, 97, 17430])).
% 38.79/25.21 tff(17435,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB91)) | (~v153(constB91)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB91)) | (~v153(constB91)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17436,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB91)) | (~v153(constB91)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17437,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB91)) | (~v153(constB91))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17436, 17435])).
% 38.79/25.21 tff(17438,plain,
% 38.79/25.21 (~v153(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17437, 17156, 17434])).
% 38.79/25.21 tff(17439,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB89, bitIndex1)) | (~v145(constB89)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17440,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v145(constB89)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17441,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB89, bitIndex1)) | (~v145(constB89))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17440, 17439])).
% 38.79/25.21 tff(17442,plain,
% 38.79/25.21 (~v145(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17441, 1116, 10548])).
% 38.79/25.21 tff(17443,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB89) | (~v144(constB89)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB89) | (~v144(constB89)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17444,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB89) | (~v144(constB89)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17445,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB89) | (~v144(constB89))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17444, 17443])).
% 38.79/25.21 tff(17446,plain,
% 38.79/25.21 (~v144(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17445, 17003, 17442])).
% 38.79/25.21 tff(17447,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB89) | (~v142(constB89)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB89) | (~v142(constB89)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17448,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB89) | (~v142(constB89)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17449,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB89) | (~v142(constB89))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17448, 17447])).
% 38.79/25.21 tff(17450,plain,
% 38.79/25.21 (~v142(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17449, 17014, 17446])).
% 38.79/25.21 tff(17451,assumption,(v18(constB90)), introduced(assumption)).
% 38.79/25.21 tff(17452,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB90))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17453,plain,
% 38.79/25.21 ($false),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17452, 8, 17451])).
% 38.79/25.21 tff(17454,plain,(~v18(constB90)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.21 tff(17455,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17456,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17457,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17456, 17455])).
% 38.79/25.21 tff(17458,plain,
% 38.79/25.21 (v22(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17457, 21, 10642])).
% 38.79/25.21 tff(17459,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB90)) | (~v22(constB90)) | v18(constB90))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB90)) | (~v22(constB90)) | v18(constB90))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17460,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB90)) | (~v22(constB90)) | v18(constB90))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17461,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB90)) | (~v22(constB90)) | v18(constB90)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17460, 17459])).
% 38.79/25.21 tff(17462,plain,
% 38.79/25.21 ((~v19(constB90)) | v18(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17461, 35, 17458])).
% 38.79/25.21 tff(17463,plain,
% 38.79/25.21 (~v19(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17462, 17454])).
% 38.79/25.21 tff(17464,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17465,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17466,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17465, 17464])).
% 38.79/25.21 tff(17467,plain,
% 38.79/25.21 (v13(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17466, 50, 17463])).
% 38.79/25.21 tff(17468,plain,
% 38.79/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17469,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17470,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17469, 17468])).
% 38.79/25.21 tff(17471,plain,
% 38.79/25.21 ((~v13(constB90)) | v9(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17470, 67, 10622])).
% 38.79/25.21 tff(17472,plain,
% 38.79/25.21 (v9(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17471, 17467])).
% 38.79/25.21 tff(17473,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v141(constB89))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB89) | (~v9(constB89)) | v141(constB89))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17474,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v141(constB89))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17475,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB89) | (~v9(constB89)) | v141(constB89)),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 38.79/25.21 tff(17476,plain,
% 38.79/25.21 ((~v9(constB89)) | v141(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17475, 85, 10493])).
% 38.79/25.21 tff(17477,plain,
% 38.79/25.21 (v141(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17476, 17472])).
% 38.79/25.21 tff(17478,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB89) | (~v141(constB89)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB89) | (~v141(constB89)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17479,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB89) | (~v141(constB89)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17480,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB89) | (~v141(constB89))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 38.79/25.21 tff(17481,plain,
% 38.79/25.21 (v140(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17480, 97, 17477])).
% 38.79/25.21 tff(17482,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB89)) | (~v140(constB89)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB89)) | (~v140(constB89)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17483,plain,
% 38.79/25.21 (((~v140(constB89)) | (~v138(constB89))) <=> ((~v138(constB89)) | (~v140(constB89)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17484,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB89)) | (~v138(constB89)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB89)) | (~v140(constB89))))),
% 38.79/25.21 inference(monotonicity,[status(thm)],[17483])).
% 38.79/25.21 tff(17485,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB89)) | (~v138(constB89)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB89)) | (~v140(constB89)))),
% 38.79/25.21 inference(transitivity,[status(thm)],[17484, 17482])).
% 38.79/25.21 tff(17486,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB89)) | (~v138(constB89)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17487,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB89)) | (~v140(constB89))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17486, 17485])).
% 38.79/25.21 tff(17488,plain,
% 38.79/25.21 (~v138(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17487, 108, 17481])).
% 38.79/25.21 tff(17489,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB89) | v142(constB89) | (~v135(constB89)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB89) | v142(constB89) | (~v135(constB89)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17490,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB89) | v142(constB89) | (~v135(constB89)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17491,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB89) | v142(constB89) | (~v135(constB89))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 38.79/25.21 tff(17492,plain,
% 38.79/25.21 (v142(constB89) | (~v135(constB89))),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17491, 17028, 17488])).
% 38.79/25.21 tff(17493,plain,
% 38.79/25.21 (~v135(constB89)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17492, 17450])).
% 38.79/25.21 tff(17494,plain,
% 38.79/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17495,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17496,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 38.79/25.21 tff(17497,plain,
% 38.79/25.21 (v135(constB89) | (~v137(constB90))),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17496, 17043, 10622])).
% 38.79/25.21 tff(17498,plain,
% 38.79/25.21 (~v137(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17497, 17493])).
% 38.79/25.21 tff(17499,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB90) | (~v138(constB90)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB90) | (~v138(constB90)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17500,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB90) | (~v138(constB90)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17501,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB90) | (~v138(constB90))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17500, 17499])).
% 38.79/25.21 tff(17502,plain,
% 38.79/25.21 (~v138(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17501, 17055, 17498])).
% 38.79/25.21 tff(17503,plain,
% 38.79/25.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB90)) | (~v141(constB90)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB90)) | (~v141(constB90)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17504,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB90)) | (~v141(constB90)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17505,plain,
% 38.79/25.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB90)) | (~v141(constB90))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17504, 17503])).
% 38.79/25.21 tff(17506,plain,
% 38.79/25.21 (~v141(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17505, 17066, 10642])).
% 38.79/25.21 tff(17507,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB90) | (~v144(constB90)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB90) | (~v144(constB90)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17508,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB90) | (~v144(constB90)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17509,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB90) | (~v144(constB90))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 38.79/25.21 tff(17510,plain,
% 38.79/25.21 (~v144(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17509, 17077, 17506])).
% 38.79/25.21 tff(17511,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB90) | (~v142(constB90)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB90) | (~v142(constB90)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17512,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB90) | (~v142(constB90)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17513,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB90) | (~v142(constB90))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17512, 17511])).
% 38.79/25.21 tff(17514,plain,
% 38.79/25.21 (~v142(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17513, 17014, 17510])).
% 38.79/25.21 tff(17515,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB90) | v142(constB90) | (~v135(constB90)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB90) | v142(constB90) | (~v135(constB90)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17516,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB90) | v142(constB90) | (~v135(constB90)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17517,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB90) | v142(constB90) | (~v135(constB90))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17516, 17515])).
% 38.79/25.21 tff(17518,plain,
% 38.79/25.21 (v138(constB90) | (~v135(constB90))),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17517, 17028, 17514])).
% 38.79/25.21 tff(17519,plain,
% 38.79/25.21 (~v135(constB90)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17518, 17502])).
% 38.79/25.21 tff(17520,plain,
% 38.79/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17521,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17522,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17521, 17520])).
% 38.79/25.21 tff(17523,plain,
% 38.79/25.21 (v135(constB90) | (~v137(constB91))),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17522, 17043, 10684])).
% 38.79/25.21 tff(17524,plain,
% 38.79/25.21 (~v137(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17523, 17519])).
% 38.79/25.21 tff(17525,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB91) | (~v154(constB91)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB91) | (~v154(constB91)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17526,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB91) | (~v154(constB91)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17527,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB91) | (~v154(constB91))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17526, 17525])).
% 38.79/25.21 tff(17528,plain,
% 38.79/25.21 (~v154(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17527, 17105, 17524])).
% 38.79/25.21 tff(17529,plain,
% 38.79/25.21 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB91) | v154(constB91) | (~v150(constB91)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB91) | v154(constB91) | (~v150(constB91)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17530,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB91) | v154(constB91) | (~v150(constB91)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17531,plain,
% 38.79/25.21 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB91) | v154(constB91) | (~v150(constB91))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17530, 17529])).
% 38.79/25.21 tff(17532,plain,
% 38.79/25.21 (v153(constB91) | (~v150(constB91))),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17531, 17170, 17528])).
% 38.79/25.21 tff(17533,plain,
% 38.79/25.21 (~v150(constB91)),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17532, 17438])).
% 38.79/25.21 tff(17534,plain,
% 38.79/25.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB91, constB92)) | v150(constB91) | (~v152(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB91, constB92)) | v150(constB91) | (~v152(constB92)))),
% 38.79/25.21 inference(rewrite,[status(thm)],[])).
% 38.79/25.21 tff(17535,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB91, constB92)) | v150(constB91) | (~v152(constB92)))),
% 38.79/25.21 inference(quant_inst,[status(thm)],[])).
% 38.79/25.21 tff(17536,plain,
% 38.79/25.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB91, constB92)) | v150(constB91) | (~v152(constB92))),
% 38.79/25.21 inference(modus_ponens,[status(thm)],[17535, 17534])).
% 38.79/25.21 tff(17537,plain,
% 38.79/25.21 (v150(constB91) | (~v152(constB92))),
% 38.79/25.21 inference(unit_resolution,[status(thm)],[17536, 17185, 11156])).
% 38.79/25.21 tff(17538,plain,
% 38.79/25.22 (~v152(constB92)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17537, 17533])).
% 38.79/25.22 tff(17539,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB92) | (~v153(constB92)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB92) | (~v153(constB92)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17540,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB92) | (~v153(constB92)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17541,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB92) | (~v153(constB92))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17540, 17539])).
% 38.79/25.22 tff(17542,plain,
% 38.79/25.22 (~v153(constB92)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17541, 17197, 17538])).
% 38.79/25.22 tff(17543,plain,
% 38.79/25.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB92)) | (~v141(constB92)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB92)) | (~v141(constB92)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17544,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB92)) | (~v141(constB92)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17545,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB92)) | (~v141(constB92))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17544, 17543])).
% 38.79/25.22 tff(17546,plain,
% 38.79/25.22 (~v141(constB92)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17545, 17066, 11176])).
% 38.79/25.22 tff(17547,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB92) | (~v155(constB92)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB92) | (~v155(constB92)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17548,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB92) | (~v155(constB92)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17549,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB92) | (~v155(constB92))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 38.79/25.22 tff(17550,plain,
% 38.79/25.22 (~v155(constB92)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17549, 17212, 17546])).
% 38.79/25.22 tff(17551,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB92) | (~v154(constB92)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB92) | (~v154(constB92)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17552,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB92) | (~v154(constB92)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17553,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB92) | (~v154(constB92))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17552, 17551])).
% 38.79/25.22 tff(17554,plain,
% 38.79/25.22 (~v154(constB92)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17553, 17223, 17550])).
% 38.79/25.22 tff(17555,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB92) | v154(constB92) | (~v150(constB92)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB92) | v154(constB92) | (~v150(constB92)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17556,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB92) | v154(constB92) | (~v150(constB92)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17557,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB92) | v154(constB92) | (~v150(constB92))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17556, 17555])).
% 38.79/25.22 tff(17558,plain,
% 38.79/25.22 (v153(constB92) | (~v150(constB92))),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17557, 17170, 17554])).
% 38.79/25.22 tff(17559,plain,
% 38.79/25.22 (~v150(constB92)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17558, 17542])).
% 38.79/25.22 tff(17560,plain,
% 38.79/25.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB92, constB93)) | v150(constB92) | (~v152(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB92, constB93)) | v150(constB92) | (~v152(constB93)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17561,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB92, constB93)) | v150(constB92) | (~v152(constB93)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17562,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB92, constB93)) | v150(constB92) | (~v152(constB93))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17561, 17560])).
% 38.79/25.22 tff(17563,plain,
% 38.79/25.22 (v150(constB92) | (~v152(constB93))),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17562, 17185, 11218])).
% 38.79/25.22 tff(17564,plain,
% 38.79/25.22 (~v152(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17563, 17559])).
% 38.79/25.22 tff(17565,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB93) | (~v164(constB93)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB93) | (~v164(constB93)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17566,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB93) | (~v164(constB93)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17567,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB93) | (~v164(constB93))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17566, 17565])).
% 38.79/25.22 tff(17568,plain,
% 38.79/25.22 (~v164(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17567, 17247, 17564])).
% 38.79/25.22 tff(17569,assumption,(v18(constB94)), introduced(assumption)).
% 38.79/25.22 tff(17570,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB94))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17571,plain,
% 38.79/25.22 ($false),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17570, 8, 17569])).
% 38.79/25.22 tff(17572,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.22 tff(17573,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17574,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17575,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17574, 17573])).
% 38.79/25.22 tff(17576,plain,
% 38.79/25.22 (v22(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17575, 21, 11359])).
% 38.79/25.22 tff(17577,plain,
% 38.79/25.22 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB94)) | (~v22(constB94)) | v18(constB94))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB94)) | (~v22(constB94)) | v18(constB94))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17578,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB94)) | (~v22(constB94)) | v18(constB94))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17579,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB94)) | (~v22(constB94)) | v18(constB94)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 38.79/25.22 tff(17580,plain,
% 38.79/25.22 ((~v19(constB94)) | v18(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17579, 35, 17576])).
% 38.79/25.22 tff(17581,plain,
% 38.79/25.22 (~v19(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17580, 17572])).
% 38.79/25.22 tff(17582,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17583,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17584,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17583, 17582])).
% 38.79/25.22 tff(17585,plain,
% 38.79/25.22 (v13(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17584, 50, 17581])).
% 38.79/25.22 tff(17586,plain,
% 38.79/25.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17587,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17588,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17587, 17586])).
% 38.79/25.22 tff(17589,plain,
% 38.79/25.22 ((~v13(constB94)) | v9(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17588, 67, 11339])).
% 38.79/25.22 tff(17590,plain,
% 38.79/25.22 (v9(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17589, 17585])).
% 38.79/25.22 tff(17591,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v141(constB93))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB93) | (~v9(constB93)) | v141(constB93))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17592,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v141(constB93))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17593,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB93) | (~v9(constB93)) | v141(constB93)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17592, 17591])).
% 38.79/25.22 tff(17594,plain,
% 38.79/25.22 ((~v9(constB93)) | v141(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17593, 85, 11215])).
% 38.79/25.22 tff(17595,plain,
% 38.79/25.22 (v141(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17594, 17590])).
% 38.79/25.22 tff(17596,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB93) | (~v141(constB93)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB93) | (~v141(constB93)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17597,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB93) | (~v141(constB93)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17598,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB93) | (~v141(constB93))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17597, 17596])).
% 38.79/25.22 tff(17599,plain,
% 38.79/25.22 (v140(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17598, 97, 17595])).
% 38.79/25.22 tff(17600,plain,
% 38.79/25.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB93)) | (~v163(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB93)) | (~v163(constB93)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17601,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB93)) | (~v163(constB93)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17602,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB93)) | (~v163(constB93))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17601, 17600])).
% 38.79/25.22 tff(17603,plain,
% 38.79/25.22 (~v163(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17602, 17298, 17599])).
% 38.79/25.22 tff(17604,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB93)) | v163(constB93) | v164(constB93))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB93)) | v163(constB93) | v164(constB93))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17605,plain,
% 38.79/25.22 ((v164(constB93) | v163(constB93) | (~v160(constB93))) <=> ((~v160(constB93)) | v163(constB93) | v164(constB93))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17606,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB93) | v163(constB93) | (~v160(constB93)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB93)) | v163(constB93) | v164(constB93)))),
% 38.79/25.22 inference(monotonicity,[status(thm)],[17605])).
% 38.79/25.22 tff(17607,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB93) | v163(constB93) | (~v160(constB93)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB93)) | v163(constB93) | v164(constB93))),
% 38.79/25.22 inference(transitivity,[status(thm)],[17606, 17604])).
% 38.79/25.22 tff(17608,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB93) | v163(constB93) | (~v160(constB93)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17609,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB93)) | v163(constB93) | v164(constB93)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 38.79/25.22 tff(17610,plain,
% 38.79/25.22 ((~v160(constB93)) | v164(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17609, 17312, 17603])).
% 38.79/25.22 tff(17611,plain,
% 38.79/25.22 (~v160(constB93)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17610, 17568])).
% 38.79/25.22 tff(17612,plain,
% 38.79/25.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB93, constB94)) | v160(constB93) | (~v162(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB93, constB94)) | v160(constB93) | (~v162(constB94)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17613,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB93, constB94)) | v160(constB93) | (~v162(constB94)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17614,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB93, constB94)) | v160(constB93) | (~v162(constB94))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17613, 17612])).
% 38.79/25.22 tff(17615,plain,
% 38.79/25.22 (v160(constB93) | (~v162(constB94))),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17614, 17330, 11339])).
% 38.79/25.22 tff(17616,plain,
% 38.79/25.22 (~v162(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17615, 17611])).
% 38.79/25.22 tff(17617,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB94) | (~v163(constB94)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB94) | (~v163(constB94)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17618,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB94) | (~v163(constB94)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17619,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB94) | (~v163(constB94))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 38.79/25.22 tff(17620,plain,
% 38.79/25.22 (~v163(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17619, 17342, 17616])).
% 38.79/25.22 tff(17621,plain,
% 38.79/25.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB94)) | (~v141(constB94)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB94)) | (~v141(constB94)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17622,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB94)) | (~v141(constB94)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17623,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB94)) | (~v141(constB94))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17622, 17621])).
% 38.79/25.22 tff(17624,plain,
% 38.79/25.22 (~v141(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17623, 17066, 11359])).
% 38.79/25.22 tff(17625,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB94) | (~v155(constB94)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB94) | (~v155(constB94)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17626,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB94) | (~v155(constB94)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17627,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB94) | (~v155(constB94))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17626, 17625])).
% 38.79/25.22 tff(17628,plain,
% 38.79/25.22 (~v155(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17627, 17212, 17624])).
% 38.79/25.22 tff(17629,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB94) | (~v164(constB94)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB94) | (~v164(constB94)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17630,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB94) | (~v164(constB94)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17631,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB94) | (~v164(constB94))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17630, 17629])).
% 38.79/25.22 tff(17632,plain,
% 38.79/25.22 (~v164(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17631, 17361, 17628])).
% 38.79/25.22 tff(17633,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB94)) | v164(constB94) | v163(constB94))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB94)) | v164(constB94) | v163(constB94))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17634,plain,
% 38.79/25.22 ((v164(constB94) | v163(constB94) | (~v160(constB94))) <=> ((~v160(constB94)) | v164(constB94) | v163(constB94))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17635,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB94) | v163(constB94) | (~v160(constB94)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB94)) | v164(constB94) | v163(constB94)))),
% 38.79/25.22 inference(monotonicity,[status(thm)],[17634])).
% 38.79/25.22 tff(17636,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB94) | v163(constB94) | (~v160(constB94)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB94)) | v164(constB94) | v163(constB94))),
% 38.79/25.22 inference(transitivity,[status(thm)],[17635, 17633])).
% 38.79/25.22 tff(17637,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB94) | v163(constB94) | (~v160(constB94)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17638,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB94)) | v164(constB94) | v163(constB94)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17637, 17636])).
% 38.79/25.22 tff(17639,plain,
% 38.79/25.22 ((~v160(constB94)) | v163(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17638, 17312, 17632])).
% 38.79/25.22 tff(17640,plain,
% 38.79/25.22 (~v160(constB94)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17639, 17620])).
% 38.79/25.22 tff(17641,plain,
% 38.79/25.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB94, constB95)) | v160(constB94) | (~v162(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB94, constB95)) | v160(constB94) | (~v162(constB95)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17642,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB94, constB95)) | v160(constB94) | (~v162(constB95)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17643,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB94, constB95)) | v160(constB94) | (~v162(constB95))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17642, 17641])).
% 38.79/25.22 tff(17644,plain,
% 38.79/25.22 (v160(constB94) | (~v162(constB95))),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17643, 17330, 11401])).
% 38.79/25.22 tff(17645,plain,
% 38.79/25.22 (~v162(constB95)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17644, 17640])).
% 38.79/25.22 tff(17646,assumption,(constB95 = sK0_VarCurr), introduced(assumption)).
% 38.79/25.22 tff(17647,plain,
% 38.79/25.22 (v162(constB95) <=> v162(sK0_VarCurr)),
% 38.79/25.22 inference(monotonicity,[status(thm)],[17646])).
% 38.79/25.22 tff(17648,plain,
% 38.79/25.22 (v162(sK0_VarCurr) <=> v162(constB95)),
% 38.79/25.22 inference(symmetry,[status(thm)],[17647])).
% 38.79/25.22 tff(17649,plain,
% 38.79/25.22 (v162(constB95)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17398, 17648])).
% 38.79/25.22 tff(17650,assumption,(~v162(constB95)), introduced(assumption)).
% 38.79/25.22 tff(17651,plain,
% 38.79/25.22 ($false),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17650, 17649])).
% 38.79/25.22 tff(17652,plain,((~(constB95 = sK0_VarCurr)) | v162(constB95)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.22 tff(17653,plain,
% 38.79/25.22 (~(constB95 = sK0_VarCurr)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17652, 17645])).
% 38.79/25.22 tff(17654,assumption,(v18(constB170)), introduced(assumption)).
% 38.79/25.22 tff(17655,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB170))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17656,plain,
% 38.79/25.22 ($false),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17655, 8, 17654])).
% 38.79/25.22 tff(17657,plain,(~v18(constB170)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.22 tff(17658,plain,
% 38.79/25.22 (v1(constB170) <=> v1(constB170)),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17659,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 38.79/25.22 tff(17660,plain,
% 38.79/25.22 (v1(constB170)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17659, 17658])).
% 38.79/25.22 tff(17661,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17662,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17663,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17662, 17661])).
% 38.79/25.22 tff(17664,plain,
% 38.79/25.22 (v22(constB170)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17663, 21, 17660])).
% 38.79/25.22 tff(17665,plain,
% 38.79/25.22 (((~![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))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17666,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17667,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 38.79/25.22 tff(17668,plain,
% 38.79/25.22 ((~v19(constB170)) | v18(constB170)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17667, 35, 17664])).
% 38.79/25.22 tff(17669,plain,
% 38.79/25.22 (~v19(constB170)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17668, 17657])).
% 38.79/25.22 tff(17670,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17671,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17672,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17671, 17670])).
% 38.79/25.22 tff(17673,plain,
% 38.79/25.22 (v13(constB170)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17672, 50, 17669])).
% 38.79/25.22 tff(17674,plain,
% 38.79/25.22 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17675,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 38.79/25.22 tff(17676,plain,
% 38.79/25.22 (nextState(constB169, constB170)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17675, 17674])).
% 38.79/25.22 tff(17677,plain,
% 38.79/25.22 (((~![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))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17678,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17679,plain,
% 38.79/25.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17678, 17677])).
% 38.79/25.22 tff(17680,plain,
% 38.79/25.22 ((~v13(constB170)) | v9(constB169)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17679, 67, 17676])).
% 38.79/25.22 tff(17681,plain,
% 38.79/25.22 (v9(constB169)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17680, 17673])).
% 38.79/25.22 tff(17682,plain,
% 38.79/25.22 ((~v1(constB169)) <=> (~v1(constB169))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17683,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 38.79/25.22 tff(17684,plain,
% 38.79/25.22 (~v1(constB169)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 38.79/25.22 tff(17685,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v141(constB169))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB169) | (~v9(constB169)) | v141(constB169))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17686,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v141(constB169))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17687,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB169) | (~v9(constB169)) | v141(constB169)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17686, 17685])).
% 38.79/25.22 tff(17688,plain,
% 38.79/25.22 ((~v9(constB169)) | v141(constB169)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17687, 85, 17684])).
% 38.79/25.22 tff(17689,plain,
% 38.79/25.22 (v141(constB169)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17688, 17681])).
% 38.79/25.22 tff(17690,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB169) | (~v141(constB169)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB169) | (~v141(constB169)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17691,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB169) | (~v141(constB169)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17692,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB169) | (~v141(constB169))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17691, 17690])).
% 38.79/25.22 tff(17693,plain,
% 38.79/25.22 (v140(constB169)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17692, 97, 17689])).
% 38.79/25.22 tff(17694,plain,
% 38.79/25.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB169)) | (~v140(constB169)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB169)) | (~v140(constB169)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17695,plain,
% 38.79/25.22 (((~v140(constB169)) | (~v138(constB169))) <=> ((~v138(constB169)) | (~v140(constB169)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17696,plain,
% 38.79/25.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB169)) | (~v138(constB169)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB169)) | (~v140(constB169))))),
% 38.79/25.22 inference(monotonicity,[status(thm)],[17695])).
% 38.79/25.22 tff(17697,plain,
% 38.79/25.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB169)) | (~v138(constB169)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB169)) | (~v140(constB169)))),
% 38.79/25.22 inference(transitivity,[status(thm)],[17696, 17694])).
% 38.79/25.22 tff(17698,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB169)) | (~v138(constB169)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17699,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB169)) | (~v140(constB169))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17698, 17697])).
% 38.79/25.22 tff(17700,plain,
% 38.79/25.22 (~v138(constB169)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17699, 108, 17693])).
% 38.79/25.22 tff(17701,plain,
% 38.79/25.22 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB147)) | (~v124(constB147, bitIndex2)))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17702,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex2)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17703,plain,
% 38.79/25.22 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB147)) | (~v124(constB147, bitIndex2))),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17702, 17701])).
% 38.79/25.22 tff(17704,plain,
% 38.79/25.22 (~v124(constB147, bitIndex2)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17703, 1451, 16872])).
% 38.79/25.22 tff(17705,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17706,plain,
% 38.79/25.22 ((v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2))) <=> ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 38.79/25.22 inference(rewrite,[status(thm)],[])).
% 38.79/25.22 tff(17707,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2)))),
% 38.79/25.22 inference(monotonicity,[status(thm)],[17706])).
% 38.79/25.22 tff(17708,plain,
% 38.79/25.22 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 38.79/25.22 inference(transitivity,[status(thm)],[17707, 17705])).
% 38.79/25.22 tff(17709,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))),
% 38.79/25.22 inference(quant_inst,[status(thm)],[])).
% 38.79/25.22 tff(17710,plain,
% 38.79/25.22 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2)),
% 38.79/25.22 inference(modus_ponens,[status(thm)],[17709, 17708])).
% 38.79/25.22 tff(17711,plain,
% 38.79/25.22 ((~v121(constB147, bitIndex2)) | v124(constB147, bitIndex2)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17710, 1147, 16900])).
% 38.79/25.22 tff(17712,plain,
% 38.79/25.22 (~v121(constB147, bitIndex2)),
% 38.79/25.22 inference(unit_resolution,[status(thm)],[17711, 17704])).
% 38.79/25.22 tff(17713,plain,
% 38.79/25.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17714,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17715,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17714, 17713])).
% 38.79/25.23 tff(17716,plain,
% 38.79/25.23 (v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17715, 1165, 16912])).
% 38.79/25.23 tff(17717,plain,
% 38.79/25.23 (~v123(constB148, bitIndex2)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17716, 17712])).
% 38.79/25.23 tff(17718,plain,
% 38.79/25.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17719,plain,
% 38.79/25.23 (((~v84(constB148, bitIndex2)) | (~v94(constB148)) | v123(constB148, bitIndex2)) <=> ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17720,plain,
% 38.79/25.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | (~v94(constB148)) | v123(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148))))),
% 38.79/25.23 inference(monotonicity,[status(thm)],[17719])).
% 38.79/25.23 tff(17721,plain,
% 38.79/25.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | (~v94(constB148)) | v123(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 38.79/25.23 inference(transitivity,[status(thm)],[17720, 17718])).
% 38.79/25.23 tff(17722,plain,
% 38.79/25.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | (~v94(constB148)) | v123(constB148, bitIndex2))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17723,plain,
% 38.79/25.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17722, 17721])).
% 38.79/25.23 tff(17724,plain,
% 38.79/25.23 ((~v84(constB148, bitIndex2)) | (~v94(constB148))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17723, 1180, 17717])).
% 38.79/25.23 tff(17725,plain,
% 38.79/25.23 (~v84(constB148, bitIndex2)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17724, 16946])).
% 38.79/25.23 tff(17726,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17727,plain,
% 38.79/25.23 (((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2))) <=> (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17728,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2))))),
% 38.79/25.23 inference(monotonicity,[status(thm)],[17727])).
% 38.79/25.23 tff(17729,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 38.79/25.23 inference(transitivity,[status(thm)],[17728, 17726])).
% 38.79/25.23 tff(17730,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17731,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17730, 17729])).
% 38.79/25.23 tff(17732,plain,
% 38.79/25.23 (v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17731, 207, 16971])).
% 38.79/25.23 tff(17733,plain,
% 38.79/25.23 (v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17732, 16983])).
% 38.79/25.23 tff(17734,plain,
% 38.79/25.23 (~v84(constB149, bitIndex2)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17733, 17725])).
% 38.79/25.23 tff(17735,plain,
% 38.79/25.23 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17736,plain,
% 38.79/25.23 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17737,plain,
% 38.79/25.23 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB147)) | (~v124(constB147, bitIndex0))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 38.79/25.23 tff(17738,plain,
% 38.79/25.23 (~v124(constB147, bitIndex0)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17737, 1554, 16872])).
% 38.79/25.23 tff(17739,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17740,plain,
% 38.79/25.23 ((v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0))) <=> ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17741,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0)))),
% 38.79/25.23 inference(monotonicity,[status(thm)],[17740])).
% 38.79/25.23 tff(17742,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 38.79/25.23 inference(transitivity,[status(thm)],[17741, 17739])).
% 38.79/25.23 tff(17743,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17744,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0)),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17743, 17742])).
% 38.79/25.23 tff(17745,plain,
% 38.79/25.23 ((~v121(constB147, bitIndex0)) | v124(constB147, bitIndex0)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17744, 650, 16900])).
% 38.79/25.23 tff(17746,plain,
% 38.79/25.23 (~v121(constB147, bitIndex0)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17745, 17738])).
% 38.79/25.23 tff(17747,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17748,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17749,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17748, 17747])).
% 38.79/25.23 tff(17750,plain,
% 38.79/25.23 (v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17749, 668, 16912])).
% 38.79/25.23 tff(17751,plain,
% 38.79/25.23 (~v123(constB148, bitIndex0)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17750, 17746])).
% 38.79/25.23 tff(17752,plain,
% 38.79/25.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17753,plain,
% 38.79/25.23 (((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0)) <=> ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17754,plain,
% 38.79/25.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148))))),
% 38.79/25.23 inference(monotonicity,[status(thm)],[17753])).
% 38.79/25.23 tff(17755,plain,
% 38.79/25.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 38.79/25.23 inference(transitivity,[status(thm)],[17754, 17752])).
% 38.79/25.23 tff(17756,plain,
% 38.79/25.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17757,plain,
% 38.79/25.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 38.79/25.23 tff(17758,plain,
% 38.79/25.23 ((~v84(constB148, bitIndex0)) | (~v94(constB148))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17757, 683, 17751])).
% 38.79/25.23 tff(17759,plain,
% 38.79/25.23 (~v84(constB148, bitIndex0)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17758, 16946])).
% 38.79/25.23 tff(17760,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17761,plain,
% 38.79/25.23 (((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0))) <=> (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17762,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0))))),
% 38.79/25.23 inference(monotonicity,[status(thm)],[17761])).
% 38.79/25.23 tff(17763,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 38.79/25.23 inference(transitivity,[status(thm)],[17762, 17760])).
% 38.79/25.23 tff(17764,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17765,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 38.79/25.23 tff(17766,plain,
% 38.79/25.23 (v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17765, 249, 16971])).
% 38.79/25.23 tff(17767,plain,
% 38.79/25.23 (v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17766, 16983])).
% 38.79/25.23 tff(17768,plain,
% 38.79/25.23 (~v84(constB149, bitIndex0)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17767, 17759])).
% 38.79/25.23 tff(17769,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17770,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17771,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149)),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17770, 17769])).
% 38.79/25.23 tff(17772,plain,
% 38.79/25.23 (v115(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17771, 1598, 17768, 16992, 17734])).
% 38.79/25.23 tff(17773,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB149) | (~v115(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17774,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB149) | (~v115(constB149)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17775,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB149) | (~v115(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17774, 17773])).
% 38.79/25.23 tff(17776,plain,
% 38.79/25.23 (v111(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17775, 1609, 17772])).
% 38.79/25.23 tff(17777,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB149) | (~v111(constB149)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB149) | (~v111(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17778,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB149) | (~v111(constB149)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17779,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB149) | (~v111(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17778, 17777])).
% 38.79/25.23 tff(17780,plain,
% 38.79/25.23 (v110(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17779, 303, 17776])).
% 38.79/25.23 tff(17781,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB149) | (~v110(constB149)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB149) | (~v110(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17782,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB149) | (~v110(constB149)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17783,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB149) | (~v110(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17782, 17781])).
% 38.79/25.23 tff(17784,plain,
% 38.79/25.23 (v109(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17783, 314, 17780])).
% 38.79/25.23 tff(17785,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB149) | (~v109(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB149) | (~v109(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17786,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB149) | (~v109(constB149)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17787,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB149) | (~v109(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17786, 17785])).
% 38.79/25.23 tff(17788,plain,
% 38.79/25.23 (v108(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17787, 325, 17784])).
% 38.79/25.23 tff(17789,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB149) | (~v108(constB149)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB149) | (~v108(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17790,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB149) | (~v108(constB149)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17791,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB149) | (~v108(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17790, 17789])).
% 38.79/25.23 tff(17792,plain,
% 38.79/25.23 (v107(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17791, 336, 17788])).
% 38.79/25.23 tff(17793,assumption,(~v102(constB149)), introduced(assumption)).
% 38.79/25.23 tff(17794,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB149) | (~v106(constB149)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB149) | (~v106(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17795,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB149) | (~v106(constB149)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17796,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB149) | (~v106(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17795, 17794])).
% 38.79/25.23 tff(17797,plain,
% 38.79/25.23 (~v106(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17796, 362, 17793])).
% 38.79/25.23 tff(17798,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB149) | (~v26(constB149)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB149) | (~v26(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17799,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB149) | (~v26(constB149)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17800,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB149) | (~v26(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17799, 17798])).
% 38.79/25.23 tff(17801,plain,
% 38.79/25.23 (~v26(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17800, 753, 17793])).
% 38.79/25.23 tff(17802,assumption,(v107(constB149)), introduced(assumption)).
% 38.79/25.23 tff(17803,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | v106(constB149) | (~v107(constB149)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17804,plain,
% 38.79/25.23 ((v26(constB149) | (~v107(constB149)) | v106(constB149)) <=> (v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17805,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | v106(constB149) | (~v107(constB149))))),
% 38.79/25.23 inference(monotonicity,[status(thm)],[17804])).
% 38.79/25.23 tff(17806,plain,
% 38.79/25.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 38.79/25.23 inference(transitivity,[status(thm)],[17805, 17803])).
% 38.79/25.23 tff(17807,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17808,plain,
% 38.79/25.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17807, 17806])).
% 38.79/25.23 tff(17809,plain,
% 38.79/25.23 (v26(constB149) | v106(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17808, 350, 17802])).
% 38.79/25.23 tff(17810,plain,
% 38.79/25.23 ($false),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17809, 17801, 17797])).
% 38.79/25.23 tff(17811,plain,(v102(constB149) | (~v107(constB149))), inference(lemma,lemma(discharge,[]))).
% 38.79/25.23 tff(17812,plain,
% 38.79/25.23 (v102(constB149)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17811, 17792])).
% 38.79/25.23 tff(17813,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17814,plain,
% 38.79/25.23 (((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150)) <=> ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17815,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149))))),
% 38.79/25.23 inference(monotonicity,[status(thm)],[17814])).
% 38.79/25.23 tff(17816,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 38.79/25.23 inference(transitivity,[status(thm)],[17815, 17813])).
% 38.79/25.23 tff(17817,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17818,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17817, 17816])).
% 38.79/25.23 tff(17819,plain,
% 38.79/25.23 (v104(constB150) | (~v102(constB149))),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17818, 379, 57])).
% 38.79/25.23 tff(17820,plain,
% 38.79/25.23 (v104(constB150)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17819, 17812])).
% 38.79/25.23 tff(17821,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17822,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17823,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150))),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17822, 17821])).
% 38.79/25.23 tff(17824,plain,
% 38.79/25.23 (~v98(constB150)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17823, 397, 57, 75])).
% 38.79/25.23 tff(17825,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17826,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))),
% 38.79/25.23 inference(quant_inst,[status(thm)],[])).
% 38.79/25.23 tff(17827,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB149, constB150)) | v96(constB150) | v98(constB150)),
% 38.79/25.23 inference(modus_ponens,[status(thm)],[17826, 17825])).
% 38.79/25.23 tff(17828,plain,
% 38.79/25.23 (v96(constB150) | v98(constB150)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17827, 411, 57])).
% 38.79/25.23 tff(17829,plain,
% 38.79/25.23 (v96(constB150)),
% 38.79/25.23 inference(unit_resolution,[status(thm)],[17828, 17824])).
% 38.79/25.23 tff(17830,plain,
% 38.79/25.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))),
% 38.79/25.23 inference(rewrite,[status(thm)],[])).
% 38.79/25.23 tff(17831,plain,
% 38.79/25.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17832,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17831, 17830])).
% 38.79/25.24 tff(17833,plain,
% 38.79/25.24 (v95(constB150) | (~v96(constB150))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17832, 429, 57, 14])).
% 38.79/25.24 tff(17834,plain,
% 38.79/25.24 (v95(constB150)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17833, 17829])).
% 38.79/25.24 tff(17835,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17836,plain,
% 38.79/25.24 (((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150)) <=> ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17837,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150))))),
% 38.79/25.24 inference(monotonicity,[status(thm)],[17836])).
% 38.79/25.24 tff(17838,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 38.79/25.24 inference(transitivity,[status(thm)],[17837, 17835])).
% 38.79/25.24 tff(17839,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17840,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17839, 17838])).
% 38.79/25.24 tff(17841,plain,
% 38.79/25.24 (v94(constB150) | (~v95(constB150)) | (~v104(constB150))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17840, 444, 57])).
% 38.79/25.24 tff(17842,plain,
% 38.79/25.24 (v94(constB150) | (~v104(constB150))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17841, 17834])).
% 38.79/25.24 tff(17843,plain,
% 38.79/25.24 (v94(constB150)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17842, 17820])).
% 38.79/25.24 tff(17844,plain,
% 38.79/25.24 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB149)) | (~v124(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB149)) | (~v124(constB149, bitIndex2)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17845,plain,
% 38.79/25.24 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB149)) | (~v124(constB149, bitIndex2)))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17846,plain,
% 38.79/25.24 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB149)) | (~v124(constB149, bitIndex2))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17845, 17844])).
% 38.79/25.24 tff(17847,plain,
% 38.79/25.24 (~v124(constB149, bitIndex2)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17846, 1688, 17772])).
% 38.79/25.24 tff(17848,assumption,(v26(constB149)), introduced(assumption)).
% 38.79/25.24 tff(17849,plain,
% 38.79/25.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17850,plain,
% 38.79/25.24 ($false),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17849, 120, 17848])).
% 38.79/25.24 tff(17851,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.24 tff(17852,plain,
% 38.79/25.24 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17853,plain,
% 38.79/25.24 ((v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2))) <=> ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17854,plain,
% 38.79/25.24 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2)))),
% 38.79/25.24 inference(monotonicity,[status(thm)],[17853])).
% 38.79/25.24 tff(17855,plain,
% 38.79/25.24 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 38.79/25.24 inference(transitivity,[status(thm)],[17854, 17852])).
% 38.79/25.24 tff(17856,plain,
% 38.79/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17857,plain,
% 38.79/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2)),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17856, 17855])).
% 38.79/25.24 tff(17858,plain,
% 38.79/25.24 ((~v121(constB149, bitIndex2)) | v124(constB149, bitIndex2)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17857, 1147, 17851])).
% 38.79/25.24 tff(17859,plain,
% 38.79/25.24 (~v121(constB149, bitIndex2)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17858, 17847])).
% 38.79/25.24 tff(17860,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17861,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17862,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17861, 17860])).
% 38.79/25.24 tff(17863,plain,
% 38.79/25.24 (v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17862, 1165, 57])).
% 38.79/25.24 tff(17864,plain,
% 38.79/25.24 (~v123(constB150, bitIndex2)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17863, 17859])).
% 38.79/25.24 tff(17865,plain,
% 38.79/25.24 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17866,plain,
% 38.79/25.24 (((~v84(constB150, bitIndex2)) | (~v94(constB150)) | v123(constB150, bitIndex2)) <=> ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17867,plain,
% 38.79/25.24 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | (~v94(constB150)) | v123(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150))))),
% 38.79/25.24 inference(monotonicity,[status(thm)],[17866])).
% 38.79/25.24 tff(17868,plain,
% 38.79/25.24 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | (~v94(constB150)) | v123(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 38.79/25.24 inference(transitivity,[status(thm)],[17867, 17865])).
% 38.79/25.24 tff(17869,plain,
% 38.79/25.24 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | (~v94(constB150)) | v123(constB150, bitIndex2))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17870,plain,
% 38.79/25.24 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17869, 17868])).
% 38.79/25.24 tff(17871,plain,
% 38.79/25.24 ((~v84(constB150, bitIndex2)) | (~v94(constB150))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17870, 1180, 17864])).
% 38.79/25.24 tff(17872,plain,
% 38.79/25.24 (~v84(constB150, bitIndex2)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17871, 17843])).
% 38.79/25.24 tff(17873,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17874,plain,
% 38.79/25.24 (((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17875,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151))))),
% 38.79/25.24 inference(monotonicity,[status(thm)],[17874])).
% 38.79/25.24 tff(17876,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 38.79/25.24 inference(transitivity,[status(thm)],[17875, 17873])).
% 38.79/25.24 tff(17877,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17878,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17877, 17876])).
% 38.79/25.24 tff(17879,plain,
% 38.79/25.24 (~v95(constB151)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17878, 175, 17093, 17140])).
% 38.79/25.24 tff(17880,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17881,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17882,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17881, 17880])).
% 38.79/25.24 tff(17883,plain,
% 38.79/25.24 (v95(constB151) | (~v94(constB151))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17882, 192, 17093])).
% 38.79/25.24 tff(17884,plain,
% 38.79/25.24 (~v94(constB151)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17883, 17879])).
% 38.79/25.24 tff(17885,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17886,plain,
% 38.79/25.24 (((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2))) <=> (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17887,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2))))),
% 38.79/25.24 inference(monotonicity,[status(thm)],[17886])).
% 38.79/25.24 tff(17888,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 38.79/25.24 inference(transitivity,[status(thm)],[17887, 17885])).
% 38.79/25.24 tff(17889,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17890,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17889, 17888])).
% 38.79/25.24 tff(17891,plain,
% 38.79/25.24 (v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17890, 207, 17093])).
% 38.79/25.24 tff(17892,plain,
% 38.79/25.24 (v84(constB150, bitIndex2) | (~v84(constB151, bitIndex2))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17891, 17884])).
% 38.79/25.24 tff(17893,plain,
% 38.79/25.24 (~v84(constB151, bitIndex2)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17892, 17872])).
% 38.79/25.24 tff(17894,plain,
% 38.79/25.24 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB149)) | v124(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB149)) | v124(constB149, bitIndex1))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17895,plain,
% 38.79/25.24 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB149)) | v124(constB149, bitIndex1))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17896,plain,
% 38.79/25.24 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB149)) | v124(constB149, bitIndex1)),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17895, 17894])).
% 38.79/25.24 tff(17897,plain,
% 38.79/25.24 (v124(constB149, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17896, 1750, 17772])).
% 38.79/25.24 tff(17898,plain,
% 38.79/25.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17899,plain,
% 38.79/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17900,plain,
% 38.79/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1)),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17899, 17898])).
% 38.79/25.24 tff(17901,plain,
% 38.79/25.24 ((~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17900, 875, 17851])).
% 38.79/25.24 tff(17902,plain,
% 38.79/25.24 (v121(constB149, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17901, 17897])).
% 38.79/25.24 tff(17903,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17904,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17905,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1)),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17904, 17903])).
% 38.79/25.24 tff(17906,plain,
% 38.79/25.24 ((~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17905, 890, 57])).
% 38.79/25.24 tff(17907,plain,
% 38.79/25.24 (v123(constB150, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17906, 17902])).
% 38.79/25.24 tff(17908,plain,
% 38.79/25.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17909,plain,
% 38.79/25.24 ((v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1))) <=> (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17910,plain,
% 38.79/25.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150))))),
% 38.79/25.24 inference(monotonicity,[status(thm)],[17909])).
% 38.79/25.24 tff(17911,plain,
% 38.79/25.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 38.79/25.24 inference(transitivity,[status(thm)],[17910, 17908])).
% 38.79/25.24 tff(17912,plain,
% 38.79/25.24 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17913,plain,
% 38.79/25.24 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150))),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17912, 17911])).
% 38.79/25.24 tff(17914,plain,
% 38.79/25.24 (v84(constB150, bitIndex1) | (~v94(constB150))),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17913, 905, 17907])).
% 38.79/25.24 tff(17915,plain,
% 38.79/25.24 (v84(constB150, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17914, 17843])).
% 38.79/25.24 tff(17916,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17917,plain,
% 38.79/25.24 (((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1)) <=> ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17918,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1)))),
% 38.79/25.24 inference(monotonicity,[status(thm)],[17917])).
% 38.79/25.24 tff(17919,plain,
% 38.79/25.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 38.79/25.24 inference(transitivity,[status(thm)],[17918, 17916])).
% 38.79/25.24 tff(17920,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17921,plain,
% 38.79/25.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1)),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17920, 17919])).
% 38.79/25.24 tff(17922,plain,
% 38.79/25.24 ((~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17921, 923, 17093])).
% 38.79/25.24 tff(17923,plain,
% 38.79/25.24 ((~v84(constB150, bitIndex1)) | v84(constB151, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17922, 17884])).
% 38.79/25.24 tff(17924,plain,
% 38.79/25.24 (v84(constB151, bitIndex1)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17923, 17915])).
% 38.79/25.24 tff(17925,plain,
% 38.79/25.24 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB149)) | v124(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB149)) | v124(constB149, bitIndex0))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17926,plain,
% 38.79/25.24 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB149)) | v124(constB149, bitIndex0))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17927,plain,
% 38.79/25.24 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB149)) | v124(constB149, bitIndex0)),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17926, 17925])).
% 38.79/25.24 tff(17928,plain,
% 38.79/25.24 (v124(constB149, bitIndex0)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17927, 1791, 17772])).
% 38.79/25.24 tff(17929,plain,
% 38.79/25.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))),
% 38.79/25.24 inference(rewrite,[status(thm)],[])).
% 38.79/25.24 tff(17930,plain,
% 38.79/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))),
% 38.79/25.24 inference(quant_inst,[status(thm)],[])).
% 38.79/25.24 tff(17931,plain,
% 38.79/25.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0)),
% 38.79/25.24 inference(modus_ponens,[status(thm)],[17930, 17929])).
% 38.79/25.24 tff(17932,plain,
% 38.79/25.24 ((~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0)),
% 38.79/25.24 inference(unit_resolution,[status(thm)],[17931, 1289, 17851])).
% 38.79/25.24 tff(17933,plain,
% 38.79/25.25 (v121(constB149, bitIndex0)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17932, 17928])).
% 38.79/25.25 tff(17934,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17935,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17936,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0)),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17935, 17934])).
% 38.79/25.25 tff(17937,plain,
% 38.79/25.25 ((~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17936, 1304, 57])).
% 38.79/25.25 tff(17938,plain,
% 38.79/25.25 (v123(constB150, bitIndex0)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17937, 17933])).
% 38.79/25.25 tff(17939,plain,
% 38.79/25.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17940,plain,
% 38.79/25.25 ((v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0))) <=> (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17941,plain,
% 38.79/25.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150))))),
% 38.79/25.25 inference(monotonicity,[status(thm)],[17940])).
% 38.79/25.25 tff(17942,plain,
% 38.79/25.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 38.79/25.25 inference(transitivity,[status(thm)],[17941, 17939])).
% 38.79/25.25 tff(17943,plain,
% 38.79/25.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17944,plain,
% 38.79/25.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17943, 17942])).
% 38.79/25.25 tff(17945,plain,
% 38.79/25.25 (v84(constB150, bitIndex0) | (~v94(constB150))),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17944, 1319, 17938])).
% 38.79/25.25 tff(17946,plain,
% 38.79/25.25 (v84(constB150, bitIndex0)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17945, 17843])).
% 38.79/25.25 tff(17947,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17948,plain,
% 38.79/25.25 (((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0)) <=> ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17949,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0)))),
% 38.79/25.25 inference(monotonicity,[status(thm)],[17948])).
% 38.79/25.25 tff(17950,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 38.79/25.25 inference(transitivity,[status(thm)],[17949, 17947])).
% 38.79/25.25 tff(17951,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17952,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0)),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17951, 17950])).
% 38.79/25.25 tff(17953,plain,
% 38.79/25.25 ((~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17952, 1337, 17093])).
% 38.79/25.25 tff(17954,plain,
% 38.79/25.25 ((~v84(constB150, bitIndex0)) | v84(constB151, bitIndex0)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17953, 17884])).
% 38.79/25.25 tff(17955,plain,
% 38.79/25.25 (v84(constB151, bitIndex0)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17954, 17946])).
% 38.79/25.25 tff(17956,plain,
% 38.79/25.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17957,plain,
% 38.79/25.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17958,plain,
% 38.79/25.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151)),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17957, 17956])).
% 38.79/25.25 tff(17959,plain,
% 38.79/25.25 (v116(constB151)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17958, 1832, 17955, 17924, 17893])).
% 38.79/25.25 tff(17960,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB151) | (~v116(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17961,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB151) | (~v116(constB151)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17962,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB151) | (~v116(constB151))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17961, 17960])).
% 38.79/25.25 tff(17963,plain,
% 38.79/25.25 (v110(constB151)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17962, 1843, 17959])).
% 38.79/25.25 tff(17964,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB151) | (~v110(constB151)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB151) | (~v110(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17965,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB151) | (~v110(constB151)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17966,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB151) | (~v110(constB151))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17965, 17964])).
% 38.79/25.25 tff(17967,plain,
% 38.79/25.25 (v109(constB151)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17966, 314, 17963])).
% 38.79/25.25 tff(17968,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB151) | (~v109(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB151) | (~v109(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17969,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB151) | (~v109(constB151)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17970,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB151) | (~v109(constB151))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17969, 17968])).
% 38.79/25.25 tff(17971,plain,
% 38.79/25.25 (v108(constB151)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17970, 325, 17967])).
% 38.79/25.25 tff(17972,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB151) | (~v108(constB151)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB151) | (~v108(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17973,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB151) | (~v108(constB151)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17974,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB151) | (~v108(constB151))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17973, 17972])).
% 38.79/25.25 tff(17975,plain,
% 38.79/25.25 (v107(constB151)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17974, 336, 17971])).
% 38.79/25.25 tff(17976,assumption,(v26(constB151)), introduced(assumption)).
% 38.79/25.25 tff(17977,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17978,plain,
% 38.79/25.25 ($false),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17977, 120, 17976])).
% 38.79/25.25 tff(17979,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.25 tff(17980,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | v106(constB151) | (~v107(constB151)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17981,plain,
% 38.79/25.25 ((v26(constB151) | (~v107(constB151)) | v106(constB151)) <=> (v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17982,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | v106(constB151) | (~v107(constB151))))),
% 38.79/25.25 inference(monotonicity,[status(thm)],[17981])).
% 38.79/25.25 tff(17983,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 38.79/25.25 inference(transitivity,[status(thm)],[17982, 17980])).
% 38.79/25.25 tff(17984,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17985,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17984, 17983])).
% 38.79/25.25 tff(17986,plain,
% 38.79/25.25 (v106(constB151) | (~v107(constB151))),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17985, 350, 17979])).
% 38.79/25.25 tff(17987,plain,
% 38.79/25.25 (v106(constB151)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17986, 17975])).
% 38.79/25.25 tff(17988,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB151) | (~v106(constB151)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB151) | (~v106(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17989,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB151) | (~v106(constB151)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17990,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB151) | (~v106(constB151))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17989, 17988])).
% 38.79/25.25 tff(17991,plain,
% 38.79/25.25 (v102(constB151)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17990, 362, 17987])).
% 38.79/25.25 tff(17992,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17993,plain,
% 38.79/25.25 (((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152)) <=> ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(17994,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151))))),
% 38.79/25.25 inference(monotonicity,[status(thm)],[17993])).
% 38.79/25.25 tff(17995,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 38.79/25.25 inference(transitivity,[status(thm)],[17994, 17992])).
% 38.79/25.25 tff(17996,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(17997,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[17996, 17995])).
% 38.79/25.25 tff(17998,plain,
% 38.79/25.25 (v104(constB152) | (~v102(constB151))),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17997, 379, 17132])).
% 38.79/25.25 tff(17999,plain,
% 38.79/25.25 (v104(constB152)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[17998, 17991])).
% 38.79/25.25 tff(18000,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18001,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(18002,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[18001, 18000])).
% 38.79/25.25 tff(18003,plain,
% 38.79/25.25 (~v98(constB152)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18002, 397, 17132, 17140])).
% 38.79/25.25 tff(18004,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18005,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(18006,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB151, constB152)) | v96(constB152) | v98(constB152)),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[18005, 18004])).
% 38.79/25.25 tff(18007,plain,
% 38.79/25.25 (v96(constB152) | v98(constB152)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18006, 411, 17132])).
% 38.79/25.25 tff(18008,plain,
% 38.79/25.25 (v96(constB152)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18007, 18003])).
% 38.79/25.25 tff(18009,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18010,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(18011,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 38.79/25.25 tff(18012,plain,
% 38.79/25.25 (v95(constB152) | (~v96(constB152))),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18011, 429, 17132, 17116])).
% 38.79/25.25 tff(18013,plain,
% 38.79/25.25 (v95(constB152)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18012, 18008])).
% 38.79/25.25 tff(18014,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18015,plain,
% 38.79/25.25 (((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152)) <=> ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18016,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152))))),
% 38.79/25.25 inference(monotonicity,[status(thm)],[18015])).
% 38.79/25.25 tff(18017,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 38.79/25.25 inference(transitivity,[status(thm)],[18016, 18014])).
% 38.79/25.25 tff(18018,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(18019,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 38.79/25.25 tff(18020,plain,
% 38.79/25.25 (v94(constB152) | (~v95(constB152)) | (~v104(constB152))),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18019, 444, 17132])).
% 38.79/25.25 tff(18021,plain,
% 38.79/25.25 (v94(constB152) | (~v104(constB152))),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18020, 18013])).
% 38.79/25.25 tff(18022,plain,
% 38.79/25.25 (v94(constB152)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18021, 17999])).
% 38.79/25.25 tff(18023,plain,
% 38.79/25.25 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB151)) | v124(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB151)) | v124(constB151, bitIndex2))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18024,plain,
% 38.79/25.25 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB151)) | v124(constB151, bitIndex2))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(18025,plain,
% 38.79/25.25 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB151)) | v124(constB151, bitIndex2)),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[18024, 18023])).
% 38.79/25.25 tff(18026,plain,
% 38.79/25.25 (v124(constB151, bitIndex2)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18025, 1918, 17959])).
% 38.79/25.25 tff(18027,plain,
% 38.79/25.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18028,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(18029,plain,
% 38.79/25.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 38.79/25.25 tff(18030,plain,
% 38.79/25.25 ((~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18029, 477, 17979])).
% 38.79/25.25 tff(18031,plain,
% 38.79/25.25 (v121(constB151, bitIndex2)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18030, 18026])).
% 38.79/25.25 tff(18032,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18033,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(18034,plain,
% 38.79/25.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2)),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[18033, 18032])).
% 38.79/25.25 tff(18035,plain,
% 38.79/25.25 ((~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18034, 492, 17132])).
% 38.79/25.25 tff(18036,plain,
% 38.79/25.25 (v123(constB152, bitIndex2)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18035, 18031])).
% 38.79/25.25 tff(18037,plain,
% 38.79/25.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18038,plain,
% 38.79/25.25 ((v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2))) <=> (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18039,plain,
% 38.79/25.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152))))),
% 38.79/25.25 inference(monotonicity,[status(thm)],[18038])).
% 38.79/25.25 tff(18040,plain,
% 38.79/25.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 38.79/25.25 inference(transitivity,[status(thm)],[18039, 18037])).
% 38.79/25.25 tff(18041,plain,
% 38.79/25.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))),
% 38.79/25.25 inference(quant_inst,[status(thm)],[])).
% 38.79/25.25 tff(18042,plain,
% 38.79/25.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152))),
% 38.79/25.25 inference(modus_ponens,[status(thm)],[18041, 18040])).
% 38.79/25.25 tff(18043,plain,
% 38.79/25.25 (v84(constB152, bitIndex2) | (~v94(constB152))),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18042, 507, 18036])).
% 38.79/25.25 tff(18044,plain,
% 38.79/25.25 (v84(constB152, bitIndex2)),
% 38.79/25.25 inference(unit_resolution,[status(thm)],[18043, 18022])).
% 38.79/25.25 tff(18045,plain,
% 38.79/25.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18046,plain,
% 38.79/25.25 (((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 38.79/25.25 inference(rewrite,[status(thm)],[])).
% 38.79/25.25 tff(18047,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153))))),
% 38.79/25.26 inference(monotonicity,[status(thm)],[18046])).
% 38.79/25.26 tff(18048,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 38.79/25.26 inference(transitivity,[status(thm)],[18047, 18045])).
% 38.79/25.26 tff(18049,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18050,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 38.79/25.26 tff(18051,plain,
% 38.79/25.26 (~v95(constB153)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18050, 175, 17235, 17282])).
% 38.79/25.26 tff(18052,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18053,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18054,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18053, 18052])).
% 38.79/25.26 tff(18055,plain,
% 38.79/25.26 (v95(constB153) | (~v94(constB153))),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18054, 192, 17235])).
% 38.79/25.26 tff(18056,plain,
% 38.79/25.26 (~v94(constB153)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18055, 18051])).
% 38.79/25.26 tff(18057,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18058,plain,
% 38.79/25.26 (((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2)) <=> ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18059,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2)))),
% 38.79/25.26 inference(monotonicity,[status(thm)],[18058])).
% 38.79/25.26 tff(18060,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 38.79/25.26 inference(transitivity,[status(thm)],[18059, 18057])).
% 38.79/25.26 tff(18061,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18062,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2)),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18061, 18060])).
% 38.79/25.26 tff(18063,plain,
% 38.79/25.26 ((~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18062, 543, 17235])).
% 38.79/25.26 tff(18064,plain,
% 38.79/25.26 ((~v84(constB152, bitIndex2)) | v84(constB153, bitIndex2)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18063, 18056])).
% 38.79/25.26 tff(18065,plain,
% 38.79/25.26 (v84(constB153, bitIndex2)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18064, 18044])).
% 38.79/25.26 tff(18066,plain,
% 38.79/25.26 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB151)) | (~v124(constB151, bitIndex1)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18067,plain,
% 38.79/25.26 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex1)))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18068,plain,
% 38.79/25.26 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB151)) | (~v124(constB151, bitIndex1))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18067, 18066])).
% 38.79/25.26 tff(18069,plain,
% 38.79/25.26 (~v124(constB151, bitIndex1)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18068, 1977, 17959])).
% 38.79/25.26 tff(18070,plain,
% 38.79/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18071,plain,
% 38.79/25.26 ((v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1))) <=> ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18072,plain,
% 38.79/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1)))),
% 38.79/25.26 inference(monotonicity,[status(thm)],[18071])).
% 38.79/25.26 tff(18073,plain,
% 38.79/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 38.79/25.26 inference(transitivity,[status(thm)],[18072, 18070])).
% 38.79/25.26 tff(18074,plain,
% 38.79/25.26 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18075,plain,
% 38.79/25.26 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1)),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18074, 18073])).
% 38.79/25.26 tff(18076,plain,
% 38.79/25.26 ((~v121(constB151, bitIndex1)) | v124(constB151, bitIndex1)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18075, 576, 17979])).
% 38.79/25.26 tff(18077,plain,
% 38.79/25.26 (~v121(constB151, bitIndex1)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18076, 18069])).
% 38.79/25.26 tff(18078,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18079,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18080,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18079, 18078])).
% 38.79/25.26 tff(18081,plain,
% 38.79/25.26 (v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1))),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18080, 594, 17132])).
% 38.79/25.26 tff(18082,plain,
% 38.79/25.26 (~v123(constB152, bitIndex1)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18081, 18077])).
% 38.79/25.26 tff(18083,plain,
% 38.79/25.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18084,plain,
% 38.79/25.26 (((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1)) <=> ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18085,plain,
% 38.79/25.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152))))),
% 38.79/25.26 inference(monotonicity,[status(thm)],[18084])).
% 38.79/25.26 tff(18086,plain,
% 38.79/25.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 38.79/25.26 inference(transitivity,[status(thm)],[18085, 18083])).
% 38.79/25.26 tff(18087,plain,
% 38.79/25.26 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18088,plain,
% 38.79/25.26 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18087, 18086])).
% 38.79/25.26 tff(18089,plain,
% 38.79/25.26 ((~v84(constB152, bitIndex1)) | (~v94(constB152))),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18088, 609, 18082])).
% 38.79/25.26 tff(18090,plain,
% 38.79/25.26 (~v84(constB152, bitIndex1)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18089, 18022])).
% 38.79/25.26 tff(18091,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18092,plain,
% 38.79/25.26 (((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1))) <=> (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18093,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1))))),
% 38.79/25.26 inference(monotonicity,[status(thm)],[18092])).
% 38.79/25.26 tff(18094,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 38.79/25.26 inference(transitivity,[status(thm)],[18093, 18091])).
% 38.79/25.26 tff(18095,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18096,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18095, 18094])).
% 38.79/25.26 tff(18097,plain,
% 38.79/25.26 (v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1))),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18096, 228, 17235])).
% 38.79/25.26 tff(18098,plain,
% 38.79/25.26 (v84(constB152, bitIndex1) | (~v84(constB153, bitIndex1))),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18097, 18056])).
% 38.79/25.26 tff(18099,plain,
% 38.79/25.26 (~v84(constB153, bitIndex1)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18098, 18090])).
% 38.79/25.26 tff(18100,plain,
% 38.79/25.26 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB151)) | (~v124(constB151, bitIndex0)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18101,plain,
% 38.79/25.26 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex0)))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18102,plain,
% 38.79/25.26 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB151)) | (~v124(constB151, bitIndex0))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18101, 18100])).
% 38.79/25.26 tff(18103,plain,
% 38.79/25.26 (~v124(constB151, bitIndex0)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18102, 2021, 17959])).
% 38.79/25.26 tff(18104,plain,
% 38.79/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18105,plain,
% 38.79/25.26 ((v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0))) <=> ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18106,plain,
% 38.79/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0)))),
% 38.79/25.26 inference(monotonicity,[status(thm)],[18105])).
% 38.79/25.26 tff(18107,plain,
% 38.79/25.26 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 38.79/25.26 inference(transitivity,[status(thm)],[18106, 18104])).
% 38.79/25.26 tff(18108,plain,
% 38.79/25.26 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18109,plain,
% 38.79/25.26 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0)),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18108, 18107])).
% 38.79/25.26 tff(18110,plain,
% 38.79/25.26 ((~v121(constB151, bitIndex0)) | v124(constB151, bitIndex0)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18109, 650, 17979])).
% 38.79/25.26 tff(18111,plain,
% 38.79/25.26 (~v121(constB151, bitIndex0)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18110, 18103])).
% 38.79/25.26 tff(18112,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18113,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18114,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18113, 18112])).
% 38.79/25.26 tff(18115,plain,
% 38.79/25.26 (v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0))),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18114, 668, 17132])).
% 38.79/25.26 tff(18116,plain,
% 38.79/25.26 (~v123(constB152, bitIndex0)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18115, 18111])).
% 38.79/25.26 tff(18117,plain,
% 38.79/25.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18118,plain,
% 38.79/25.26 (((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0)) <=> ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18119,plain,
% 38.79/25.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152))))),
% 38.79/25.26 inference(monotonicity,[status(thm)],[18118])).
% 38.79/25.26 tff(18120,plain,
% 38.79/25.26 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 38.79/25.26 inference(transitivity,[status(thm)],[18119, 18117])).
% 38.79/25.26 tff(18121,plain,
% 38.79/25.26 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))),
% 38.79/25.26 inference(quant_inst,[status(thm)],[])).
% 38.79/25.26 tff(18122,plain,
% 38.79/25.26 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152))),
% 38.79/25.26 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 38.79/25.26 tff(18123,plain,
% 38.79/25.26 ((~v84(constB152, bitIndex0)) | (~v94(constB152))),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18122, 683, 18116])).
% 38.79/25.26 tff(18124,plain,
% 38.79/25.26 (~v84(constB152, bitIndex0)),
% 38.79/25.26 inference(unit_resolution,[status(thm)],[18123, 18022])).
% 38.79/25.26 tff(18125,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18126,plain,
% 38.79/25.26 (((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0))) <=> (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 38.79/25.26 inference(rewrite,[status(thm)],[])).
% 38.79/25.26 tff(18127,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0))))),
% 38.79/25.26 inference(monotonicity,[status(thm)],[18126])).
% 38.79/25.26 tff(18128,plain,
% 38.79/25.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 38.79/25.26 inference(transitivity,[status(thm)],[18127, 18125])).
% 38.79/25.26 tff(18129,plain,
% 38.79/25.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18130,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18129, 18128])).
% 38.79/25.27 tff(18131,plain,
% 38.79/25.27 (v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0))),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18130, 249, 17235])).
% 38.79/25.27 tff(18132,plain,
% 38.79/25.27 (v84(constB152, bitIndex0) | (~v84(constB153, bitIndex0))),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18131, 18056])).
% 38.79/25.27 tff(18133,plain,
% 38.79/25.27 (~v84(constB153, bitIndex0)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18132, 18124])).
% 38.79/25.27 tff(18134,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18135,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18136,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153)),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18135, 18134])).
% 38.79/25.27 tff(18137,plain,
% 38.79/25.27 (v172(constB153)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18136, 710, 18133, 18099, 18065])).
% 38.79/25.27 tff(18138,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB153) | (~v172(constB153)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB153) | (~v172(constB153)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18139,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB153) | (~v172(constB153)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18140,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB153) | (~v172(constB153))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18139, 18138])).
% 38.79/25.27 tff(18141,plain,
% 38.79/25.27 (v109(constB153)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18140, 764, 18137])).
% 38.79/25.27 tff(18142,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB153) | (~v109(constB153)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB153) | (~v109(constB153)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18143,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB153) | (~v109(constB153)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18144,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB153) | (~v109(constB153))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18143, 18142])).
% 38.79/25.27 tff(18145,plain,
% 38.79/25.27 (v108(constB153)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18144, 325, 18141])).
% 38.79/25.27 tff(18146,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB153) | (~v108(constB153)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB153) | (~v108(constB153)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18147,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB153) | (~v108(constB153)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18148,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB153) | (~v108(constB153))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18147, 18146])).
% 38.79/25.27 tff(18149,plain,
% 38.79/25.27 (v107(constB153)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18148, 336, 18145])).
% 38.79/25.27 tff(18150,assumption,(v26(constB153)), introduced(assumption)).
% 38.79/25.27 tff(18151,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18152,plain,
% 38.79/25.27 ($false),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18151, 120, 18150])).
% 38.79/25.27 tff(18153,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 38.79/25.27 tff(18154,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB153) | (~v107(constB153)) | v106(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB153) | (~v107(constB153)) | v106(constB153))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18155,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB153) | (~v107(constB153)) | v106(constB153))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18156,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB153) | (~v107(constB153)) | v106(constB153)),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18155, 18154])).
% 38.79/25.27 tff(18157,plain,
% 38.79/25.27 ((~v107(constB153)) | v106(constB153)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18156, 350, 18153])).
% 38.79/25.27 tff(18158,plain,
% 38.79/25.27 (v106(constB153)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18157, 18149])).
% 38.79/25.27 tff(18159,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB153) | (~v106(constB153)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB153) | (~v106(constB153)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18160,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB153) | (~v106(constB153)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18161,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB153) | (~v106(constB153))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18160, 18159])).
% 38.79/25.27 tff(18162,plain,
% 38.79/25.27 (v102(constB153)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18161, 362, 18158])).
% 38.79/25.27 tff(18163,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18164,plain,
% 38.79/25.27 (((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154)) <=> ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18165,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153))))),
% 38.79/25.27 inference(monotonicity,[status(thm)],[18164])).
% 38.79/25.27 tff(18166,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 38.79/25.27 inference(transitivity,[status(thm)],[18165, 18163])).
% 38.79/25.27 tff(18167,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18168,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 38.79/25.27 tff(18169,plain,
% 38.79/25.27 (v104(constB154) | (~v102(constB153))),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18168, 379, 17274])).
% 38.79/25.27 tff(18170,plain,
% 38.79/25.27 (v104(constB154)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18169, 18162])).
% 38.79/25.27 tff(18171,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18172,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18173,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18172, 18171])).
% 38.79/25.27 tff(18174,plain,
% 38.79/25.27 (~v98(constB154)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18173, 397, 17274, 17282])).
% 38.79/25.27 tff(18175,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18176,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18177,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB153, constB154)) | v96(constB154) | v98(constB154)),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18176, 18175])).
% 38.79/25.27 tff(18178,plain,
% 38.79/25.27 (v96(constB154) | v98(constB154)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18177, 411, 17274])).
% 38.79/25.27 tff(18179,plain,
% 38.79/25.27 (v96(constB154)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18178, 18174])).
% 38.79/25.27 tff(18180,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18181,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18182,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18181, 18180])).
% 38.79/25.27 tff(18183,plain,
% 38.79/25.27 (v95(constB154) | (~v96(constB154))),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18182, 429, 17274, 17258])).
% 38.79/25.27 tff(18184,plain,
% 38.79/25.27 (v95(constB154)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18183, 18179])).
% 38.79/25.27 tff(18185,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18186,plain,
% 38.79/25.27 (((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154)) <=> ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18187,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154))))),
% 38.79/25.27 inference(monotonicity,[status(thm)],[18186])).
% 38.79/25.27 tff(18188,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 38.79/25.27 inference(transitivity,[status(thm)],[18187, 18185])).
% 38.79/25.27 tff(18189,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18190,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18189, 18188])).
% 38.79/25.27 tff(18191,plain,
% 38.79/25.27 (v94(constB154) | (~v95(constB154)) | (~v104(constB154))),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18190, 444, 17274])).
% 38.79/25.27 tff(18192,plain,
% 38.79/25.27 (v94(constB154) | (~v104(constB154))),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18191, 18184])).
% 38.79/25.27 tff(18193,plain,
% 38.79/25.27 (v94(constB154)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18192, 18170])).
% 38.79/25.27 tff(18194,plain,
% 38.79/25.27 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB153)) | v124(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB153)) | v124(constB153, bitIndex1))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18195,plain,
% 38.79/25.27 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB153)) | v124(constB153, bitIndex1))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18196,plain,
% 38.79/25.27 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB153)) | v124(constB153, bitIndex1)),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 38.79/25.27 tff(18197,plain,
% 38.79/25.27 (v124(constB153, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18196, 861, 18137])).
% 38.79/25.27 tff(18198,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB153) | (~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB153) | (~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18199,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB153) | (~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18200,plain,
% 38.79/25.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB153) | (~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1)),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18199, 18198])).
% 38.79/25.27 tff(18201,plain,
% 38.79/25.27 ((~v124(constB153, bitIndex1)) | v121(constB153, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18200, 875, 18153])).
% 38.79/25.27 tff(18202,plain,
% 38.79/25.27 (v121(constB153, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18201, 18197])).
% 38.79/25.27 tff(18203,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18204,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18205,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1)),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18204, 18203])).
% 38.79/25.27 tff(18206,plain,
% 38.79/25.27 ((~v121(constB153, bitIndex1)) | v123(constB154, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18205, 890, 17274])).
% 38.79/25.27 tff(18207,plain,
% 38.79/25.27 (v123(constB154, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18206, 18202])).
% 38.79/25.27 tff(18208,plain,
% 38.79/25.27 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18209,plain,
% 38.79/25.27 ((v84(constB154, bitIndex1) | (~v94(constB154)) | (~v123(constB154, bitIndex1))) <=> (v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18210,plain,
% 38.79/25.27 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v94(constB154)) | (~v123(constB154, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154))))),
% 38.79/25.27 inference(monotonicity,[status(thm)],[18209])).
% 38.79/25.27 tff(18211,plain,
% 38.79/25.27 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v94(constB154)) | (~v123(constB154, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154)))),
% 38.79/25.27 inference(transitivity,[status(thm)],[18210, 18208])).
% 38.79/25.27 tff(18212,plain,
% 38.79/25.27 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~v94(constB154)) | (~v123(constB154, bitIndex1)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18213,plain,
% 38.79/25.27 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~v123(constB154, bitIndex1)) | (~v94(constB154))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18212, 18211])).
% 38.79/25.27 tff(18214,plain,
% 38.79/25.27 (v84(constB154, bitIndex1) | (~v94(constB154))),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18213, 905, 18207])).
% 38.79/25.27 tff(18215,plain,
% 38.79/25.27 (v84(constB154, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18214, 18193])).
% 38.79/25.27 tff(18216,plain,
% 38.79/25.27 ((~v1(constB155)) <=> (~v1(constB155))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18217,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 38.79/25.27 tff(18218,plain,
% 38.79/25.27 (~v1(constB155)),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 38.79/25.27 tff(18219,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18220,plain,
% 38.79/25.27 (((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18221,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155))))),
% 38.79/25.27 inference(monotonicity,[status(thm)],[18220])).
% 38.79/25.27 tff(18222,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 38.79/25.27 inference(transitivity,[status(thm)],[18221, 18219])).
% 38.79/25.27 tff(18223,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18224,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18223, 18222])).
% 38.79/25.27 tff(18225,plain,
% 38.79/25.27 (~v95(constB155)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18224, 175, 17376, 18218])).
% 38.79/25.27 tff(18226,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18227,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18228,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18227, 18226])).
% 38.79/25.27 tff(18229,plain,
% 38.79/25.27 (v95(constB155) | (~v94(constB155))),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18228, 192, 17376])).
% 38.79/25.27 tff(18230,plain,
% 38.79/25.27 (~v94(constB155)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18229, 18225])).
% 38.79/25.27 tff(18231,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18232,plain,
% 38.79/25.27 (((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1)) <=> ((~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18233,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1)))),
% 38.79/25.27 inference(monotonicity,[status(thm)],[18232])).
% 38.79/25.27 tff(18234,plain,
% 38.79/25.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1))),
% 38.79/25.27 inference(transitivity,[status(thm)],[18233, 18231])).
% 38.79/25.27 tff(18235,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18236,plain,
% 38.79/25.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex1)),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18235, 18234])).
% 38.79/25.27 tff(18237,plain,
% 38.79/25.27 ((~v84(constB154, bitIndex1)) | v94(constB155) | v84(constB155, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18236, 923, 17376])).
% 38.79/25.27 tff(18238,plain,
% 38.79/25.27 ((~v84(constB154, bitIndex1)) | v84(constB155, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18237, 18230])).
% 38.79/25.27 tff(18239,plain,
% 38.79/25.27 (v84(constB155, bitIndex1)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18238, 18215])).
% 38.79/25.27 tff(18240,plain,
% 38.79/25.27 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB153)) | (~v124(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB153)) | (~v124(constB153, bitIndex0)))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18241,plain,
% 38.79/25.27 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB153)) | (~v124(constB153, bitIndex0)))),
% 38.79/25.27 inference(quant_inst,[status(thm)],[])).
% 38.79/25.27 tff(18242,plain,
% 38.79/25.27 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB153)) | (~v124(constB153, bitIndex0))),
% 38.79/25.27 inference(modus_ponens,[status(thm)],[18241, 18240])).
% 38.79/25.27 tff(18243,plain,
% 38.79/25.27 (~v124(constB153, bitIndex0)),
% 38.79/25.27 inference(unit_resolution,[status(thm)],[18242, 942, 18137])).
% 38.79/25.27 tff(18244,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18245,plain,
% 38.79/25.27 ((v26(constB153) | v124(constB153, bitIndex0) | (~v121(constB153, bitIndex0))) <=> ((~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0))),
% 38.79/25.27 inference(rewrite,[status(thm)],[])).
% 38.79/25.27 tff(18246,plain,
% 38.79/25.27 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB153) | v124(constB153, bitIndex0) | (~v121(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0)))),
% 38.88/25.28 inference(monotonicity,[status(thm)],[18245])).
% 38.88/25.28 tff(18247,plain,
% 38.88/25.28 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB153) | v124(constB153, bitIndex0) | (~v121(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0))),
% 38.88/25.28 inference(transitivity,[status(thm)],[18246, 18244])).
% 38.88/25.28 tff(18248,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB153) | v124(constB153, bitIndex0) | (~v121(constB153, bitIndex0)))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18249,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB153, bitIndex0)) | v26(constB153) | v124(constB153, bitIndex0)),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18248, 18247])).
% 38.88/25.28 tff(18250,plain,
% 38.88/25.28 ((~v121(constB153, bitIndex0)) | v124(constB153, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18249, 650, 18153])).
% 38.88/25.28 tff(18251,plain,
% 38.88/25.28 (~v121(constB153, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18250, 18243])).
% 38.88/25.28 tff(18252,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18253,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0)))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18254,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0))),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18253, 18252])).
% 38.88/25.28 tff(18255,plain,
% 38.88/25.28 (v121(constB153, bitIndex0) | (~v123(constB154, bitIndex0))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18254, 668, 17274])).
% 38.88/25.28 tff(18256,plain,
% 38.88/25.28 (~v123(constB154, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18255, 18251])).
% 38.88/25.28 tff(18257,plain,
% 38.88/25.28 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18258,plain,
% 38.88/25.28 (((~v84(constB154, bitIndex0)) | (~v94(constB154)) | v123(constB154, bitIndex0)) <=> ((~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18259,plain,
% 38.88/25.28 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~v94(constB154)) | v123(constB154, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154))))),
% 38.88/25.28 inference(monotonicity,[status(thm)],[18258])).
% 38.88/25.28 tff(18260,plain,
% 38.88/25.28 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~v94(constB154)) | v123(constB154, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154)))),
% 38.88/25.28 inference(transitivity,[status(thm)],[18259, 18257])).
% 38.88/25.28 tff(18261,plain,
% 38.88/25.28 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~v94(constB154)) | v123(constB154, bitIndex0))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18262,plain,
% 38.88/25.28 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | v123(constB154, bitIndex0) | (~v94(constB154))),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18261, 18260])).
% 38.88/25.28 tff(18263,plain,
% 38.88/25.28 ((~v84(constB154, bitIndex0)) | (~v94(constB154))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18262, 683, 18256])).
% 38.88/25.28 tff(18264,plain,
% 38.88/25.28 (~v84(constB154, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18263, 18193])).
% 38.88/25.28 tff(18265,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18266,plain,
% 38.88/25.28 (((~nextState(constB154, constB155)) | v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0))) <=> (v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18267,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0))))),
% 38.88/25.28 inference(monotonicity,[status(thm)],[18266])).
% 38.88/25.28 tff(18268,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0)))),
% 38.88/25.28 inference(transitivity,[status(thm)],[18267, 18265])).
% 38.88/25.28 tff(18269,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0)))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18270,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex0))),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18269, 18268])).
% 38.88/25.28 tff(18271,plain,
% 38.88/25.28 (v84(constB154, bitIndex0) | v94(constB155) | (~v84(constB155, bitIndex0))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18270, 249, 17376])).
% 38.88/25.28 tff(18272,plain,
% 38.88/25.28 (v84(constB154, bitIndex0) | (~v84(constB155, bitIndex0))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18271, 18230])).
% 38.88/25.28 tff(18273,plain,
% 38.88/25.28 (~v84(constB155, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18272, 18264])).
% 38.88/25.28 tff(18274,assumption,(v116(constB151)), introduced(assumption)).
% 38.88/25.28 tff(18275,plain,
% 38.88/25.28 (v110(constB151)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[17962, 1843, 18274])).
% 38.88/25.28 tff(18276,plain,
% 38.88/25.28 (v109(constB151)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[17966, 314, 18275])).
% 38.88/25.28 tff(18277,plain,
% 38.88/25.28 (v108(constB151)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[17970, 325, 18276])).
% 38.88/25.28 tff(18278,plain,
% 38.88/25.28 (v107(constB151)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[17974, 336, 18277])).
% 38.88/25.28 tff(18279,assumption,(~v26(constB151)), introduced(assumption)).
% 38.88/25.28 tff(18280,plain,
% 38.88/25.28 (v106(constB151) | (~v107(constB151))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[17985, 350, 18279])).
% 38.88/25.28 tff(18281,plain,
% 38.88/25.28 (v106(constB151)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18280, 18278])).
% 38.88/25.28 tff(18282,plain,
% 38.88/25.28 (v102(constB151)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[17990, 362, 18281])).
% 38.88/25.28 tff(18283,plain,
% 38.88/25.28 (v104(constB152)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[17998, 18282])).
% 38.88/25.28 tff(18284,plain,
% 38.88/25.28 (v94(constB152)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18021, 18283])).
% 38.88/25.28 tff(18285,plain,
% 38.88/25.28 (v124(constB151, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18025, 1918, 18274])).
% 38.88/25.28 tff(18286,plain,
% 38.88/25.28 ((~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18029, 477, 18279])).
% 38.88/25.28 tff(18287,plain,
% 38.88/25.28 (v121(constB151, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18286, 18285])).
% 38.88/25.28 tff(18288,plain,
% 38.88/25.28 (v123(constB152, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18035, 18287])).
% 38.88/25.28 tff(18289,plain,
% 38.88/25.28 (v84(constB152, bitIndex2) | (~v94(constB152))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18042, 507, 18288])).
% 38.88/25.28 tff(18290,plain,
% 38.88/25.28 (v84(constB152, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18289, 18284])).
% 38.88/25.28 tff(18291,plain,
% 38.88/25.28 (v84(constB153, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18064, 18290])).
% 38.88/25.28 tff(18292,plain,
% 38.88/25.28 (~v124(constB151, bitIndex1)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18068, 1977, 18274])).
% 38.88/25.28 tff(18293,plain,
% 38.88/25.28 ((~v121(constB151, bitIndex1)) | v124(constB151, bitIndex1)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18075, 576, 18279])).
% 38.88/25.28 tff(18294,plain,
% 38.88/25.28 (~v121(constB151, bitIndex1)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18293, 18292])).
% 38.88/25.28 tff(18295,plain,
% 38.88/25.28 (~v123(constB152, bitIndex1)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18081, 18294])).
% 38.88/25.28 tff(18296,plain,
% 38.88/25.28 ((~v84(constB152, bitIndex1)) | (~v94(constB152))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18088, 609, 18295])).
% 38.88/25.28 tff(18297,plain,
% 38.88/25.28 (~v84(constB152, bitIndex1)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18296, 18284])).
% 38.88/25.28 tff(18298,plain,
% 38.88/25.28 (~v84(constB153, bitIndex1)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18098, 18297])).
% 38.88/25.28 tff(18299,plain,
% 38.88/25.28 (~v124(constB151, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18102, 2021, 18274])).
% 38.88/25.28 tff(18300,plain,
% 38.88/25.28 ((~v121(constB151, bitIndex0)) | v124(constB151, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18109, 650, 18279])).
% 38.88/25.28 tff(18301,plain,
% 38.88/25.28 (~v121(constB151, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18300, 18299])).
% 38.88/25.28 tff(18302,plain,
% 38.88/25.28 (~v123(constB152, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18115, 18301])).
% 38.88/25.28 tff(18303,plain,
% 38.88/25.28 ((~v84(constB152, bitIndex0)) | (~v94(constB152))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18122, 683, 18302])).
% 38.88/25.28 tff(18304,plain,
% 38.88/25.28 (~v84(constB152, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18303, 18284])).
% 38.88/25.28 tff(18305,plain,
% 38.88/25.28 (~v84(constB153, bitIndex0)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18132, 18304])).
% 38.88/25.28 tff(18306,plain,
% 38.88/25.28 (v172(constB153)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18136, 710, 18305, 18298, 18291])).
% 38.88/25.28 tff(18307,assumption,(~v84(constB154, bitIndex2)), introduced(assumption)).
% 38.88/25.28 tff(18308,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v94(constB154) | v84(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v94(constB154) | v84(constB154, bitIndex2))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18309,plain,
% 38.88/25.28 (((~nextState(constB153, constB154)) | (~v84(constB153, bitIndex2)) | v94(constB154) | v84(constB154, bitIndex2)) <=> ((~v84(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v94(constB154) | v84(constB154, bitIndex2))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18310,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v84(constB153, bitIndex2)) | v94(constB154) | v84(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v94(constB154) | v84(constB154, bitIndex2)))),
% 38.88/25.28 inference(monotonicity,[status(thm)],[18309])).
% 38.88/25.28 tff(18311,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v84(constB153, bitIndex2)) | v94(constB154) | v84(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v94(constB154) | v84(constB154, bitIndex2))),
% 38.88/25.28 inference(transitivity,[status(thm)],[18310, 18308])).
% 38.88/25.28 tff(18312,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v84(constB153, bitIndex2)) | v94(constB154) | v84(constB154, bitIndex2))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18313,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB153, bitIndex2)) | (~nextState(constB153, constB154)) | v94(constB154) | v84(constB154, bitIndex2)),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 38.88/25.28 tff(18314,plain,
% 38.88/25.28 ((~v84(constB153, bitIndex2)) | v94(constB154) | v84(constB154, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18313, 543, 17274])).
% 38.88/25.28 tff(18315,plain,
% 38.88/25.28 (v94(constB154)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18314, 18291, 18307])).
% 38.88/25.28 tff(18316,plain,
% 38.88/25.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18317,plain,
% 38.88/25.28 ((v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2))) <=> (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18318,plain,
% 38.88/25.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154))))),
% 38.88/25.28 inference(monotonicity,[status(thm)],[18317])).
% 38.88/25.28 tff(18319,plain,
% 38.88/25.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 38.88/25.28 inference(transitivity,[status(thm)],[18318, 18316])).
% 38.88/25.28 tff(18320,plain,
% 38.88/25.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18321,plain,
% 38.88/25.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154))),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18320, 18319])).
% 38.88/25.28 tff(18322,plain,
% 38.88/25.28 ((~v123(constB154, bitIndex2)) | (~v94(constB154))),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18321, 507, 18307])).
% 38.88/25.28 tff(18323,plain,
% 38.88/25.28 (~v123(constB154, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18322, 18315])).
% 38.88/25.28 tff(18324,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18325,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18326,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2)),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18325, 18324])).
% 38.88/25.28 tff(18327,plain,
% 38.88/25.28 ((~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18326, 492, 17274])).
% 38.88/25.28 tff(18328,plain,
% 38.88/25.28 (~v121(constB153, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18327, 18323])).
% 38.88/25.28 tff(18329,plain,
% 38.88/25.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18330,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18331,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2)),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18330, 18329])).
% 38.88/25.28 tff(18332,plain,
% 38.88/25.28 ((~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18331, 477, 18153])).
% 38.88/25.28 tff(18333,plain,
% 38.88/25.28 (~v124(constB153, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18332, 18328])).
% 38.88/25.28 tff(18334,plain,
% 38.88/25.28 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB153)) | v124(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB153)) | v124(constB153, bitIndex2))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18335,plain,
% 38.88/25.28 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB153)) | v124(constB153, bitIndex2))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18336,plain,
% 38.88/25.28 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB153)) | v124(constB153, bitIndex2)),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18335, 18334])).
% 38.88/25.28 tff(18337,plain,
% 38.88/25.28 ($false),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18336, 724, 18333, 18306])).
% 38.88/25.28 tff(18338,plain,((~v116(constB151)) | v84(constB154, bitIndex2) | v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 38.88/25.28 tff(18339,plain,
% 38.88/25.28 ((~v116(constB151)) | v84(constB154, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18338, 17979])).
% 38.88/25.28 tff(18340,plain,
% 38.88/25.28 (v84(constB154, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18339, 17959])).
% 38.88/25.28 tff(18341,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18342,plain,
% 38.88/25.28 (((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2)) <=> ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18343,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2)))),
% 38.88/25.28 inference(monotonicity,[status(thm)],[18342])).
% 38.88/25.28 tff(18344,plain,
% 38.88/25.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 38.88/25.28 inference(transitivity,[status(thm)],[18343, 18341])).
% 38.88/25.28 tff(18345,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18346,plain,
% 38.88/25.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2)),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18345, 18344])).
% 38.88/25.28 tff(18347,plain,
% 38.88/25.28 ((~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18346, 543, 17376])).
% 38.88/25.28 tff(18348,plain,
% 38.88/25.28 ((~v84(constB154, bitIndex2)) | v84(constB155, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18347, 18230])).
% 38.88/25.28 tff(18349,plain,
% 38.88/25.28 (v84(constB155, bitIndex2)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18348, 18340])).
% 38.88/25.28 tff(18350,plain,
% 38.88/25.28 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | (~v84(constB155, bitIndex2)) | v119(constB155))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | (~v84(constB155, bitIndex2)) | v119(constB155))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18351,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | (~v84(constB155, bitIndex2)) | v119(constB155))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18352,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | (~v84(constB155, bitIndex2)) | v119(constB155)),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18351, 18350])).
% 38.88/25.28 tff(18353,plain,
% 38.88/25.28 (v84(constB155, bitIndex0) | (~v84(constB155, bitIndex1)) | v119(constB155)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18352, 986, 18349])).
% 38.88/25.28 tff(18354,plain,
% 38.88/25.28 (v119(constB155)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18353, 18273, 18239])).
% 38.88/25.28 tff(18355,plain,
% 38.88/25.28 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB155) | (~v119(constB155)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB155) | (~v119(constB155)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18356,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB155) | (~v119(constB155)))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18357,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB155) | (~v119(constB155))),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18356, 18355])).
% 38.88/25.28 tff(18358,plain,
% 38.88/25.28 (v107(constB155)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18357, 997, 18354])).
% 38.88/25.28 tff(18359,assumption,(v26(constB155)), introduced(assumption)).
% 38.88/25.28 tff(18360,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18361,plain,
% 38.88/25.28 ($false),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18360, 120, 18359])).
% 38.88/25.28 tff(18362,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 38.88/25.28 tff(18363,plain,
% 38.88/25.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB155) | (~v107(constB155)) | v106(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB155) | (~v107(constB155)) | v106(constB155))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18364,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB155) | (~v107(constB155)) | v106(constB155))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18365,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB155) | (~v107(constB155)) | v106(constB155)),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18364, 18363])).
% 38.88/25.28 tff(18366,plain,
% 38.88/25.28 ((~v107(constB155)) | v106(constB155)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18365, 350, 18362])).
% 38.88/25.28 tff(18367,plain,
% 38.88/25.28 (v106(constB155)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18366, 18358])).
% 38.88/25.28 tff(18368,plain,
% 38.88/25.28 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB155) | (~v106(constB155)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB155) | (~v106(constB155)))),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18369,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB155) | (~v106(constB155)))),
% 38.88/25.28 inference(quant_inst,[status(thm)],[])).
% 38.88/25.28 tff(18370,plain,
% 38.88/25.28 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB155) | (~v106(constB155))),
% 38.88/25.28 inference(modus_ponens,[status(thm)],[18369, 18368])).
% 38.88/25.28 tff(18371,plain,
% 38.88/25.28 (v102(constB155)),
% 38.88/25.28 inference(unit_resolution,[status(thm)],[18370, 362, 18367])).
% 38.88/25.28 tff(18372,plain,
% 38.88/25.28 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 38.88/25.28 inference(rewrite,[status(thm)],[])).
% 38.88/25.28 tff(18373,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 38.88/25.29 tff(18374,plain,
% 38.88/25.29 (nextState(constB155, constB156)),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18373, 18372])).
% 38.88/25.29 tff(18375,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18376,plain,
% 38.88/25.29 (((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156)) <=> ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18377,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155))))),
% 38.88/25.29 inference(monotonicity,[status(thm)],[18376])).
% 38.88/25.29 tff(18378,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 38.88/25.29 inference(transitivity,[status(thm)],[18377, 18375])).
% 38.88/25.29 tff(18379,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18380,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 38.88/25.29 tff(18381,plain,
% 38.88/25.29 (v104(constB156) | (~v102(constB155))),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18380, 379, 18374])).
% 38.88/25.29 tff(18382,plain,
% 38.88/25.29 (v104(constB156)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18381, 18371])).
% 38.88/25.29 tff(18383,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18384,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18385,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18384, 18383])).
% 38.88/25.29 tff(18386,plain,
% 38.88/25.29 (~v98(constB156)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18385, 397, 18374, 18218])).
% 38.88/25.29 tff(18387,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18388,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18389,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB155, constB156)) | v96(constB156) | v98(constB156)),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18388, 18387])).
% 38.88/25.29 tff(18390,plain,
% 38.88/25.29 (v96(constB156) | v98(constB156)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18389, 411, 18374])).
% 38.88/25.29 tff(18391,plain,
% 38.88/25.29 (v96(constB156)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18390, 18386])).
% 38.88/25.29 tff(18392,plain,
% 38.88/25.29 (v1(constB156) <=> v1(constB156)),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18393,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 38.88/25.29 tff(18394,plain,
% 38.88/25.29 (v1(constB156)),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18393, 18392])).
% 38.88/25.29 tff(18395,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18396,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18397,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18396, 18395])).
% 38.88/25.29 tff(18398,plain,
% 38.88/25.29 (v95(constB156) | (~v96(constB156))),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18397, 429, 18374, 18394])).
% 38.88/25.29 tff(18399,plain,
% 38.88/25.29 (v95(constB156)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18398, 18391])).
% 38.88/25.29 tff(18400,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18401,plain,
% 38.88/25.29 (((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156)) <=> ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18402,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156))))),
% 38.88/25.29 inference(monotonicity,[status(thm)],[18401])).
% 38.88/25.29 tff(18403,plain,
% 38.88/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 38.88/25.29 inference(transitivity,[status(thm)],[18402, 18400])).
% 38.88/25.29 tff(18404,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18405,plain,
% 38.88/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18404, 18403])).
% 38.88/25.29 tff(18406,plain,
% 38.88/25.29 (v94(constB156) | (~v95(constB156)) | (~v104(constB156))),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18405, 444, 18374])).
% 38.88/25.29 tff(18407,plain,
% 38.88/25.29 (v94(constB156) | (~v104(constB156))),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18406, 18399])).
% 38.88/25.29 tff(18408,plain,
% 38.88/25.29 (v94(constB156)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18407, 18382])).
% 38.88/25.29 tff(18409,plain,
% 38.88/25.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB155, bitIndex1)) | (~v118(constB155)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB155, bitIndex1)) | (~v118(constB155)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18410,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB155, bitIndex1)) | (~v118(constB155)))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18411,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB155, bitIndex1)) | (~v118(constB155))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18410, 18409])).
% 38.88/25.29 tff(18412,plain,
% 38.88/25.29 (~v118(constB155)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18411, 1094, 18239])).
% 38.88/25.29 tff(18413,plain,
% 38.88/25.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB155, bitIndex1)) | (~v172(constB155)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB155, bitIndex1)) | (~v172(constB155)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18414,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB155, bitIndex1)) | (~v172(constB155)))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18415,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB155, bitIndex1)) | (~v172(constB155))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18414, 18413])).
% 38.88/25.29 tff(18416,plain,
% 38.88/25.29 (~v172(constB155)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18415, 1105, 18239])).
% 38.88/25.29 tff(18417,plain,
% 38.88/25.29 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB155)) | (~v84(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB155)) | (~v84(constB155, bitIndex2)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18418,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB155)) | (~v84(constB155, bitIndex2)))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18419,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB155)) | (~v84(constB155, bitIndex2))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18418, 18417])).
% 38.88/25.29 tff(18420,plain,
% 38.88/25.29 (~v113(constB155)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18419, 5698, 18349])).
% 38.88/25.29 tff(18421,plain,
% 38.88/25.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB155, bitIndex2)) | (~v115(constB155)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB155, bitIndex2)) | (~v115(constB155)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18422,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB155, bitIndex2)) | (~v115(constB155)))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18423,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB155, bitIndex2)) | (~v115(constB155))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18422, 18421])).
% 38.88/25.29 tff(18424,plain,
% 38.88/25.29 (~v115(constB155)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18423, 1058, 18349])).
% 38.88/25.29 tff(18425,plain,
% 38.88/25.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB155, bitIndex2)) | (~v145(constB155)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB155, bitIndex2)) | (~v145(constB155)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18426,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB155, bitIndex2)) | (~v145(constB155)))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18427,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB155, bitIndex2)) | (~v145(constB155))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18426, 18425])).
% 38.88/25.29 tff(18428,plain,
% 38.88/25.29 (~v145(constB155)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18427, 5709, 18349])).
% 38.88/25.29 tff(18429,plain,
% 38.88/25.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB155, bitIndex2)) | (~v116(constB155)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB155, bitIndex2)) | (~v116(constB155)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18430,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB155, bitIndex2)) | (~v116(constB155)))),
% 38.88/25.29 inference(quant_inst,[status(thm)],[])).
% 38.88/25.29 tff(18431,plain,
% 38.88/25.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB155, bitIndex2)) | (~v116(constB155))),
% 38.88/25.29 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 38.88/25.29 tff(18432,plain,
% 38.88/25.29 (~v116(constB155)),
% 38.88/25.29 inference(unit_resolution,[status(thm)],[18431, 1069, 18349])).
% 38.88/25.29 tff(18433,plain,
% 38.88/25.29 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18434,plain,
% 38.88/25.29 ((v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2))) <=> (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2)))),
% 38.88/25.29 inference(rewrite,[status(thm)],[])).
% 38.88/25.29 tff(18435,plain,
% 38.88/25.29 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2))))),
% 38.88/25.29 inference(monotonicity,[status(thm)],[18434])).
% 38.88/25.29 tff(18436,plain,
% 38.88/25.29 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2)))),
% 38.88/25.29 inference(transitivity,[status(thm)],[18435, 18433])).
% 38.88/25.29 tff(18437,plain,
% 38.88/25.29 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2)))),
% 38.90/25.29 inference(quant_inst,[status(thm)],[])).
% 38.90/25.29 tff(18438,plain,
% 38.90/25.29 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex2))),
% 38.90/25.29 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 38.90/25.29 tff(18439,plain,
% 38.90/25.29 (v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex2))),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18438, 1130, 18432, 18428, 18424, 18420])).
% 38.90/25.29 tff(18440,plain,
% 38.90/25.29 (~v124(constB155, bitIndex2)),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18439, 18416, 18412])).
% 38.90/25.29 tff(18441,plain,
% 38.90/25.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18442,plain,
% 38.90/25.29 ((v26(constB155) | v124(constB155, bitIndex2) | (~v121(constB155, bitIndex2))) <=> ((~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18443,plain,
% 38.90/25.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB155) | v124(constB155, bitIndex2) | (~v121(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2)))),
% 38.90/25.29 inference(monotonicity,[status(thm)],[18442])).
% 38.90/25.29 tff(18444,plain,
% 38.90/25.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB155) | v124(constB155, bitIndex2) | (~v121(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2))),
% 38.90/25.29 inference(transitivity,[status(thm)],[18443, 18441])).
% 38.90/25.29 tff(18445,plain,
% 38.90/25.29 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB155) | v124(constB155, bitIndex2) | (~v121(constB155, bitIndex2)))),
% 38.90/25.29 inference(quant_inst,[status(thm)],[])).
% 38.90/25.29 tff(18446,plain,
% 38.90/25.29 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB155, bitIndex2)) | v26(constB155) | v124(constB155, bitIndex2)),
% 38.90/25.29 inference(modus_ponens,[status(thm)],[18445, 18444])).
% 38.90/25.29 tff(18447,plain,
% 38.90/25.29 ((~v121(constB155, bitIndex2)) | v124(constB155, bitIndex2)),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18446, 1147, 18362])).
% 38.90/25.29 tff(18448,plain,
% 38.90/25.29 (~v121(constB155, bitIndex2)),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18447, 18440])).
% 38.90/25.29 tff(18449,plain,
% 38.90/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2)))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18450,plain,
% 38.90/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2)))),
% 38.90/25.29 inference(quant_inst,[status(thm)],[])).
% 38.90/25.29 tff(18451,plain,
% 38.90/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2))),
% 38.90/25.29 inference(modus_ponens,[status(thm)],[18450, 18449])).
% 38.90/25.29 tff(18452,plain,
% 38.90/25.29 (v121(constB155, bitIndex2) | (~v123(constB156, bitIndex2))),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18451, 1165, 18374])).
% 38.90/25.29 tff(18453,plain,
% 38.90/25.29 (~v123(constB156, bitIndex2)),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18452, 18448])).
% 38.90/25.29 tff(18454,plain,
% 38.90/25.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156)))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18455,plain,
% 38.90/25.29 (((~v84(constB156, bitIndex2)) | (~v94(constB156)) | v123(constB156, bitIndex2)) <=> ((~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156)))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18456,plain,
% 38.90/25.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | (~v94(constB156)) | v123(constB156, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156))))),
% 38.90/25.29 inference(monotonicity,[status(thm)],[18455])).
% 38.90/25.29 tff(18457,plain,
% 38.90/25.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | (~v94(constB156)) | v123(constB156, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156)))),
% 38.90/25.29 inference(transitivity,[status(thm)],[18456, 18454])).
% 38.90/25.29 tff(18458,plain,
% 38.90/25.29 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | (~v94(constB156)) | v123(constB156, bitIndex2))),
% 38.90/25.29 inference(quant_inst,[status(thm)],[])).
% 38.90/25.29 tff(18459,plain,
% 38.90/25.29 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | v123(constB156, bitIndex2) | (~v94(constB156))),
% 38.90/25.29 inference(modus_ponens,[status(thm)],[18458, 18457])).
% 38.90/25.29 tff(18460,plain,
% 38.90/25.29 ((~v84(constB156, bitIndex2)) | (~v94(constB156))),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18459, 1180, 18453])).
% 38.90/25.29 tff(18461,plain,
% 38.90/25.29 (~v84(constB156, bitIndex2)),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18460, 18408])).
% 38.90/25.29 tff(18462,plain,
% 38.90/25.29 ((~v1(constB157)) <=> (~v1(constB157))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18463,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 38.90/25.29 tff(18464,plain,
% 38.90/25.29 (~v1(constB157)),
% 38.90/25.29 inference(modus_ponens,[status(thm)],[18463, 18462])).
% 38.90/25.29 tff(18465,plain,
% 38.90/25.29 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18466,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 38.90/25.29 tff(18467,plain,
% 38.90/25.29 (nextState(constB156, constB157)),
% 38.90/25.29 inference(modus_ponens,[status(thm)],[18466, 18465])).
% 38.90/25.29 tff(18468,plain,
% 38.90/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18469,plain,
% 38.90/25.29 (((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18470,plain,
% 38.90/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157))))),
% 38.90/25.29 inference(monotonicity,[status(thm)],[18469])).
% 38.90/25.29 tff(18471,plain,
% 38.90/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 38.90/25.29 inference(transitivity,[status(thm)],[18470, 18468])).
% 38.90/25.29 tff(18472,plain,
% 38.90/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))),
% 38.90/25.29 inference(quant_inst,[status(thm)],[])).
% 38.90/25.29 tff(18473,plain,
% 38.90/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157))),
% 38.90/25.29 inference(modus_ponens,[status(thm)],[18472, 18471])).
% 38.90/25.29 tff(18474,plain,
% 38.90/25.29 (~v95(constB157)),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18473, 175, 18467, 18464])).
% 38.90/25.29 tff(18475,plain,
% 38.90/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18476,plain,
% 38.90/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))),
% 38.90/25.29 inference(quant_inst,[status(thm)],[])).
% 38.90/25.29 tff(18477,plain,
% 38.90/25.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157))),
% 38.90/25.29 inference(modus_ponens,[status(thm)],[18476, 18475])).
% 38.90/25.29 tff(18478,plain,
% 38.90/25.29 (v95(constB157) | (~v94(constB157))),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18477, 192, 18467])).
% 38.90/25.29 tff(18479,plain,
% 38.90/25.29 (~v94(constB157)),
% 38.90/25.29 inference(unit_resolution,[status(thm)],[18478, 18474])).
% 38.90/25.29 tff(18480,plain,
% 38.90/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2)))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18481,plain,
% 38.90/25.29 (((~nextState(constB156, constB157)) | v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2))) <=> (v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2)))),
% 38.90/25.29 inference(rewrite,[status(thm)],[])).
% 38.90/25.29 tff(18482,plain,
% 38.90/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2))))),
% 38.90/25.29 inference(monotonicity,[status(thm)],[18481])).
% 38.90/25.29 tff(18483,plain,
% 38.90/25.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2)))),
% 38.90/25.30 inference(transitivity,[status(thm)],[18482, 18480])).
% 38.90/25.30 tff(18484,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18485,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex2))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18484, 18483])).
% 38.90/25.30 tff(18486,plain,
% 38.90/25.30 (v84(constB156, bitIndex2) | v94(constB157) | (~v84(constB157, bitIndex2))),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18485, 207, 18467])).
% 38.90/25.30 tff(18487,plain,
% 38.90/25.30 (v84(constB156, bitIndex2) | (~v84(constB157, bitIndex2))),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18486, 18479])).
% 38.90/25.30 tff(18488,plain,
% 38.90/25.30 (~v84(constB157, bitIndex2)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18487, 18461])).
% 38.90/25.30 tff(18489,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18490,plain,
% 38.90/25.30 ((v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1))) <=> (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18491,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1))))),
% 38.90/25.30 inference(monotonicity,[status(thm)],[18490])).
% 38.90/25.30 tff(18492,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1)))),
% 38.90/25.30 inference(transitivity,[status(thm)],[18491, 18489])).
% 38.90/25.30 tff(18493,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18494,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | (~v124(constB155, bitIndex1))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18493, 18492])).
% 38.90/25.30 tff(18495,plain,
% 38.90/25.30 (v172(constB155) | v118(constB155) | (~v124(constB155, bitIndex1))),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18494, 1225, 18432, 18428, 18424, 18420])).
% 38.90/25.30 tff(18496,plain,
% 38.90/25.30 (~v124(constB155, bitIndex1)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18495, 18416, 18412])).
% 38.90/25.30 tff(18497,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18498,plain,
% 38.90/25.30 ((v26(constB155) | v124(constB155, bitIndex1) | (~v121(constB155, bitIndex1))) <=> ((~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18499,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB155) | v124(constB155, bitIndex1) | (~v121(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1)))),
% 38.90/25.30 inference(monotonicity,[status(thm)],[18498])).
% 38.90/25.30 tff(18500,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB155) | v124(constB155, bitIndex1) | (~v121(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1))),
% 38.90/25.30 inference(transitivity,[status(thm)],[18499, 18497])).
% 38.90/25.30 tff(18501,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB155) | v124(constB155, bitIndex1) | (~v121(constB155, bitIndex1)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18502,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB155, bitIndex1)) | v26(constB155) | v124(constB155, bitIndex1)),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18501, 18500])).
% 38.90/25.30 tff(18503,plain,
% 38.90/25.30 ((~v121(constB155, bitIndex1)) | v124(constB155, bitIndex1)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18502, 576, 18362])).
% 38.90/25.30 tff(18504,plain,
% 38.90/25.30 (~v121(constB155, bitIndex1)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18503, 18496])).
% 38.90/25.30 tff(18505,plain,
% 38.90/25.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18506,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18507,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18506, 18505])).
% 38.90/25.30 tff(18508,plain,
% 38.90/25.30 (v121(constB155, bitIndex1) | (~v123(constB156, bitIndex1))),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18507, 594, 18374])).
% 38.90/25.30 tff(18509,plain,
% 38.90/25.30 (~v123(constB156, bitIndex1)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18508, 18504])).
% 38.90/25.30 tff(18510,plain,
% 38.90/25.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18511,plain,
% 38.90/25.30 (((~v84(constB156, bitIndex1)) | (~v94(constB156)) | v123(constB156, bitIndex1)) <=> ((~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18512,plain,
% 38.90/25.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~v94(constB156)) | v123(constB156, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156))))),
% 38.90/25.30 inference(monotonicity,[status(thm)],[18511])).
% 38.90/25.30 tff(18513,plain,
% 38.90/25.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~v94(constB156)) | v123(constB156, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156)))),
% 38.90/25.30 inference(transitivity,[status(thm)],[18512, 18510])).
% 38.90/25.30 tff(18514,plain,
% 38.90/25.30 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~v94(constB156)) | v123(constB156, bitIndex1))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18515,plain,
% 38.90/25.30 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | v123(constB156, bitIndex1) | (~v94(constB156))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 38.90/25.30 tff(18516,plain,
% 38.90/25.30 ((~v84(constB156, bitIndex1)) | (~v94(constB156))),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18515, 609, 18509])).
% 38.90/25.30 tff(18517,plain,
% 38.90/25.30 (~v84(constB156, bitIndex1)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18516, 18408])).
% 38.90/25.30 tff(18518,plain,
% 38.90/25.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18519,plain,
% 38.90/25.30 (((~nextState(constB156, constB157)) | v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1))) <=> (v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18520,plain,
% 38.90/25.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1))))),
% 38.90/25.30 inference(monotonicity,[status(thm)],[18519])).
% 38.90/25.30 tff(18521,plain,
% 38.90/25.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1)))),
% 38.90/25.30 inference(transitivity,[status(thm)],[18520, 18518])).
% 38.90/25.30 tff(18522,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18523,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex1))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18522, 18521])).
% 38.90/25.30 tff(18524,plain,
% 38.90/25.30 (v84(constB156, bitIndex1) | v94(constB157) | (~v84(constB157, bitIndex1))),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18523, 228, 18467])).
% 38.90/25.30 tff(18525,plain,
% 38.90/25.30 (v84(constB156, bitIndex1) | (~v84(constB157, bitIndex1))),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18524, 18479])).
% 38.90/25.30 tff(18526,plain,
% 38.90/25.30 (~v84(constB157, bitIndex1)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18525, 18517])).
% 38.90/25.30 tff(18527,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18528,plain,
% 38.90/25.30 ((v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | v124(constB155, bitIndex0)) <=> (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18529,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | v124(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0)))),
% 38.90/25.30 inference(monotonicity,[status(thm)],[18528])).
% 38.90/25.30 tff(18530,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | v124(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0))),
% 38.90/25.30 inference(transitivity,[status(thm)],[18529, 18527])).
% 38.90/25.30 tff(18531,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB155) | v145(constB155) | v115(constB155) | v116(constB155) | v172(constB155) | v118(constB155) | v124(constB155, bitIndex0))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18532,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB155) | v145(constB155) | v118(constB155) | v116(constB155) | v115(constB155) | v113(constB155) | v124(constB155, bitIndex0)),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18531, 18530])).
% 38.90/25.30 tff(18533,plain,
% 38.90/25.30 (v172(constB155) | v118(constB155) | v124(constB155, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18532, 1272, 18432, 18428, 18424, 18420])).
% 38.90/25.30 tff(18534,plain,
% 38.90/25.30 (v124(constB155, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18533, 18416, 18412])).
% 38.90/25.30 tff(18535,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB155) | (~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB155) | (~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18536,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB155) | (~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18537,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB155) | (~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0)),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18536, 18535])).
% 38.90/25.30 tff(18538,plain,
% 38.90/25.30 ((~v124(constB155, bitIndex0)) | v121(constB155, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18537, 1289, 18362])).
% 38.90/25.30 tff(18539,plain,
% 38.90/25.30 (v121(constB155, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18538, 18534])).
% 38.90/25.30 tff(18540,plain,
% 38.90/25.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18541,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18542,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0)),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18541, 18540])).
% 38.90/25.30 tff(18543,plain,
% 38.90/25.30 ((~v121(constB155, bitIndex0)) | v123(constB156, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18542, 1304, 18374])).
% 38.90/25.30 tff(18544,plain,
% 38.90/25.30 (v123(constB156, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18543, 18539])).
% 38.90/25.30 tff(18545,plain,
% 38.90/25.30 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18546,plain,
% 38.90/25.30 ((v84(constB156, bitIndex0) | (~v94(constB156)) | (~v123(constB156, bitIndex0))) <=> (v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18547,plain,
% 38.90/25.30 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v94(constB156)) | (~v123(constB156, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156))))),
% 38.90/25.30 inference(monotonicity,[status(thm)],[18546])).
% 38.90/25.30 tff(18548,plain,
% 38.90/25.30 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v94(constB156)) | (~v123(constB156, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156)))),
% 38.90/25.30 inference(transitivity,[status(thm)],[18547, 18545])).
% 38.90/25.30 tff(18549,plain,
% 38.90/25.30 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~v94(constB156)) | (~v123(constB156, bitIndex0)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18550,plain,
% 38.90/25.30 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~v123(constB156, bitIndex0)) | (~v94(constB156))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18549, 18548])).
% 38.90/25.30 tff(18551,plain,
% 38.90/25.30 (v84(constB156, bitIndex0) | (~v94(constB156))),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18550, 1319, 18544])).
% 38.90/25.30 tff(18552,plain,
% 38.90/25.30 (v84(constB156, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18551, 18408])).
% 38.90/25.30 tff(18553,plain,
% 38.90/25.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18554,plain,
% 38.90/25.30 (((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0)) <=> ((~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18555,plain,
% 38.90/25.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0)))),
% 38.90/25.30 inference(monotonicity,[status(thm)],[18554])).
% 38.90/25.30 tff(18556,plain,
% 38.90/25.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0))),
% 38.90/25.30 inference(transitivity,[status(thm)],[18555, 18553])).
% 38.90/25.30 tff(18557,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18558,plain,
% 38.90/25.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex0)),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18557, 18556])).
% 38.90/25.30 tff(18559,plain,
% 38.90/25.30 ((~v84(constB156, bitIndex0)) | v94(constB157) | v84(constB157, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18558, 1337, 18467])).
% 38.90/25.30 tff(18560,plain,
% 38.90/25.30 ((~v84(constB156, bitIndex0)) | v84(constB157, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18559, 18479])).
% 38.90/25.30 tff(18561,plain,
% 38.90/25.30 (v84(constB157, bitIndex0)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18560, 18552])).
% 38.90/25.30 tff(18562,plain,
% 38.90/25.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB157, bitIndex0)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | v145(constB157))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB157, bitIndex0)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | v145(constB157))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18563,plain,
% 38.90/25.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB157, bitIndex0)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | v145(constB157))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18564,plain,
% 38.90/25.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB157, bitIndex0)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | v145(constB157)),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18563, 18562])).
% 38.90/25.30 tff(18565,plain,
% 38.90/25.30 (v145(constB157)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18564, 1356, 18561, 18526, 18488])).
% 38.90/25.30 tff(18566,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB157) | (~v145(constB157)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB157) | (~v145(constB157)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18567,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB157) | (~v145(constB157)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18568,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB157) | (~v145(constB157))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18567, 18566])).
% 38.90/25.30 tff(18569,plain,
% 38.90/25.30 (v112(constB157)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18568, 1367, 18565])).
% 38.90/25.30 tff(18570,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB157) | (~v112(constB157)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18571,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB157) | (~v112(constB157)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18572,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB157) | (~v112(constB157))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18571, 18570])).
% 38.90/25.30 tff(18573,plain,
% 38.90/25.30 (v111(constB157)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18572, 292, 18569])).
% 38.90/25.30 tff(18574,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB157) | (~v111(constB157)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB157) | (~v111(constB157)))),
% 38.90/25.30 inference(rewrite,[status(thm)],[])).
% 38.90/25.30 tff(18575,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB157) | (~v111(constB157)))),
% 38.90/25.30 inference(quant_inst,[status(thm)],[])).
% 38.90/25.30 tff(18576,plain,
% 38.90/25.30 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB157) | (~v111(constB157))),
% 38.90/25.30 inference(modus_ponens,[status(thm)],[18575, 18574])).
% 38.90/25.30 tff(18577,plain,
% 38.90/25.30 (v110(constB157)),
% 38.90/25.30 inference(unit_resolution,[status(thm)],[18576, 303, 18573])).
% 38.90/25.30 tff(18578,plain,
% 38.90/25.30 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB157) | (~v110(constB157)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB157) | (~v110(constB157)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18579,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB157) | (~v110(constB157)))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18580,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB157) | (~v110(constB157))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18579, 18578])).
% 38.90/25.31 tff(18581,plain,
% 38.90/25.31 (v109(constB157)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18580, 314, 18577])).
% 38.90/25.31 tff(18582,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB157) | (~v109(constB157)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB157) | (~v109(constB157)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18583,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB157) | (~v109(constB157)))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18584,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB157) | (~v109(constB157))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18583, 18582])).
% 38.90/25.31 tff(18585,plain,
% 38.90/25.31 (v108(constB157)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18584, 325, 18581])).
% 38.90/25.31 tff(18586,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB157) | (~v108(constB157)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB157) | (~v108(constB157)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18587,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB157) | (~v108(constB157)))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18588,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB157) | (~v108(constB157))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18587, 18586])).
% 38.90/25.31 tff(18589,plain,
% 38.90/25.31 (v107(constB157)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18588, 336, 18585])).
% 38.90/25.31 tff(18590,assumption,(v26(constB157)), introduced(assumption)).
% 38.90/25.31 tff(18591,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18592,plain,
% 38.90/25.31 ($false),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18591, 120, 18590])).
% 38.90/25.31 tff(18593,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 38.90/25.31 tff(18594,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | v106(constB157) | (~v107(constB157)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18595,plain,
% 38.90/25.31 ((v26(constB157) | (~v107(constB157)) | v106(constB157)) <=> (v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18596,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | v106(constB157) | (~v107(constB157))))),
% 38.90/25.31 inference(monotonicity,[status(thm)],[18595])).
% 38.90/25.31 tff(18597,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 38.90/25.31 inference(transitivity,[status(thm)],[18596, 18594])).
% 38.90/25.31 tff(18598,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18599,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18598, 18597])).
% 38.90/25.31 tff(18600,plain,
% 38.90/25.31 (v106(constB157) | (~v107(constB157))),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18599, 350, 18593])).
% 38.90/25.31 tff(18601,plain,
% 38.90/25.31 (v106(constB157)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18600, 18589])).
% 38.90/25.31 tff(18602,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB157) | (~v106(constB157)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB157) | (~v106(constB157)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18603,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB157) | (~v106(constB157)))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18604,plain,
% 38.90/25.31 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB157) | (~v106(constB157))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18603, 18602])).
% 38.90/25.31 tff(18605,plain,
% 38.90/25.31 (v102(constB157)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18604, 362, 18601])).
% 38.90/25.31 tff(18606,plain,
% 38.90/25.31 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18607,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 38.90/25.31 tff(18608,plain,
% 38.90/25.31 (nextState(constB157, constB158)),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18607, 18606])).
% 38.90/25.31 tff(18609,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18610,plain,
% 38.90/25.31 (((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158)) <=> ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18611,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157))))),
% 38.90/25.31 inference(monotonicity,[status(thm)],[18610])).
% 38.90/25.31 tff(18612,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 38.90/25.31 inference(transitivity,[status(thm)],[18611, 18609])).
% 38.90/25.31 tff(18613,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18614,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18613, 18612])).
% 38.90/25.31 tff(18615,plain,
% 38.90/25.31 (v104(constB158) | (~v102(constB157))),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18614, 379, 18608])).
% 38.90/25.31 tff(18616,plain,
% 38.90/25.31 (v104(constB158)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18615, 18605])).
% 38.90/25.31 tff(18617,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18618,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18619,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18618, 18617])).
% 38.90/25.31 tff(18620,plain,
% 38.90/25.31 (~v98(constB158)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18619, 397, 18608, 18464])).
% 38.90/25.31 tff(18621,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18622,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18623,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB157, constB158)) | v96(constB158) | v98(constB158)),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18622, 18621])).
% 38.90/25.31 tff(18624,plain,
% 38.90/25.31 (v96(constB158) | v98(constB158)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18623, 411, 18608])).
% 38.90/25.31 tff(18625,plain,
% 38.90/25.31 (v96(constB158)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18624, 18620])).
% 38.90/25.31 tff(18626,plain,
% 38.90/25.31 (v1(constB158) <=> v1(constB158)),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18627,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 38.90/25.31 tff(18628,plain,
% 38.90/25.31 (v1(constB158)),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18627, 18626])).
% 38.90/25.31 tff(18629,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18630,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18631,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18630, 18629])).
% 38.90/25.31 tff(18632,plain,
% 38.90/25.31 (v95(constB158) | (~v96(constB158))),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18631, 429, 18608, 18628])).
% 38.90/25.31 tff(18633,plain,
% 38.90/25.31 (v95(constB158)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18632, 18625])).
% 38.90/25.31 tff(18634,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18635,plain,
% 38.90/25.31 (((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158)) <=> ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18636,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158))))),
% 38.90/25.31 inference(monotonicity,[status(thm)],[18635])).
% 38.90/25.31 tff(18637,plain,
% 38.90/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 38.90/25.31 inference(transitivity,[status(thm)],[18636, 18634])).
% 38.90/25.31 tff(18638,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18639,plain,
% 38.90/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18638, 18637])).
% 38.90/25.31 tff(18640,plain,
% 38.90/25.31 (v94(constB158) | (~v95(constB158)) | (~v104(constB158))),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18639, 444, 18608])).
% 38.90/25.31 tff(18641,plain,
% 38.90/25.31 (v94(constB158) | (~v104(constB158))),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18640, 18633])).
% 38.90/25.31 tff(18642,plain,
% 38.90/25.31 (v94(constB158)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18641, 18616])).
% 38.90/25.31 tff(18643,plain,
% 38.90/25.31 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB157)) | (~v124(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB157)) | (~v124(constB157, bitIndex2)))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18644,plain,
% 38.90/25.31 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB157)) | (~v124(constB157, bitIndex2)))),
% 38.90/25.31 inference(quant_inst,[status(thm)],[])).
% 38.90/25.31 tff(18645,plain,
% 38.90/25.31 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB157)) | (~v124(constB157, bitIndex2))),
% 38.90/25.31 inference(modus_ponens,[status(thm)],[18644, 18643])).
% 38.90/25.31 tff(18646,plain,
% 38.90/25.31 (~v124(constB157, bitIndex2)),
% 38.90/25.31 inference(unit_resolution,[status(thm)],[18645, 1451, 18565])).
% 38.90/25.31 tff(18647,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18648,plain,
% 38.90/25.31 ((v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2))) <=> ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 38.90/25.31 inference(rewrite,[status(thm)],[])).
% 38.90/25.31 tff(18649,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2)))),
% 38.90/25.31 inference(monotonicity,[status(thm)],[18648])).
% 38.90/25.31 tff(18650,plain,
% 38.90/25.31 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 38.92/25.31 inference(transitivity,[status(thm)],[18649, 18647])).
% 38.92/25.31 tff(18651,plain,
% 38.92/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))),
% 38.92/25.31 inference(quant_inst,[status(thm)],[])).
% 38.92/25.31 tff(18652,plain,
% 38.92/25.31 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2)),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18651, 18650])).
% 38.92/25.31 tff(18653,plain,
% 38.92/25.31 ((~v121(constB157, bitIndex2)) | v124(constB157, bitIndex2)),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18652, 1147, 18593])).
% 38.92/25.31 tff(18654,plain,
% 38.92/25.31 (~v121(constB157, bitIndex2)),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18653, 18646])).
% 38.92/25.31 tff(18655,plain,
% 38.92/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18656,plain,
% 38.92/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))),
% 38.92/25.31 inference(quant_inst,[status(thm)],[])).
% 38.92/25.31 tff(18657,plain,
% 38.92/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2))),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18656, 18655])).
% 38.92/25.31 tff(18658,plain,
% 38.92/25.31 (v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2))),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18657, 1165, 18608])).
% 38.92/25.31 tff(18659,plain,
% 38.92/25.31 (~v123(constB158, bitIndex2)),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18658, 18654])).
% 38.92/25.31 tff(18660,plain,
% 38.92/25.31 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18661,plain,
% 38.92/25.31 (((~v84(constB158, bitIndex2)) | (~v94(constB158)) | v123(constB158, bitIndex2)) <=> ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18662,plain,
% 38.92/25.31 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | (~v94(constB158)) | v123(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158))))),
% 38.92/25.31 inference(monotonicity,[status(thm)],[18661])).
% 38.92/25.31 tff(18663,plain,
% 38.92/25.31 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | (~v94(constB158)) | v123(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 38.92/25.31 inference(transitivity,[status(thm)],[18662, 18660])).
% 38.92/25.31 tff(18664,plain,
% 38.92/25.31 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | (~v94(constB158)) | v123(constB158, bitIndex2))),
% 38.92/25.31 inference(quant_inst,[status(thm)],[])).
% 38.92/25.31 tff(18665,plain,
% 38.92/25.31 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158))),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18664, 18663])).
% 38.92/25.31 tff(18666,plain,
% 38.92/25.31 ((~v84(constB158, bitIndex2)) | (~v94(constB158))),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18665, 1180, 18659])).
% 38.92/25.31 tff(18667,plain,
% 38.92/25.31 (~v84(constB158, bitIndex2)),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18666, 18642])).
% 38.92/25.31 tff(18668,plain,
% 38.92/25.31 ((~v1(constB159)) <=> (~v1(constB159))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18669,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 38.92/25.31 tff(18670,plain,
% 38.92/25.31 (~v1(constB159)),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18669, 18668])).
% 38.92/25.31 tff(18671,plain,
% 38.92/25.31 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18672,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 38.92/25.31 tff(18673,plain,
% 38.92/25.31 (nextState(constB158, constB159)),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18672, 18671])).
% 38.92/25.31 tff(18674,plain,
% 38.92/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18675,plain,
% 38.92/25.31 (((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18676,plain,
% 38.92/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159))))),
% 38.92/25.31 inference(monotonicity,[status(thm)],[18675])).
% 38.92/25.31 tff(18677,plain,
% 38.92/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 38.92/25.31 inference(transitivity,[status(thm)],[18676, 18674])).
% 38.92/25.31 tff(18678,plain,
% 38.92/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))),
% 38.92/25.31 inference(quant_inst,[status(thm)],[])).
% 38.92/25.31 tff(18679,plain,
% 38.92/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159))),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18678, 18677])).
% 38.92/25.31 tff(18680,plain,
% 38.92/25.31 (~v95(constB159)),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18679, 175, 18673, 18670])).
% 38.92/25.31 tff(18681,plain,
% 38.92/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18682,plain,
% 38.92/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))),
% 38.92/25.31 inference(quant_inst,[status(thm)],[])).
% 38.92/25.31 tff(18683,plain,
% 38.92/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159))),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18682, 18681])).
% 38.92/25.31 tff(18684,plain,
% 38.92/25.31 (v95(constB159) | (~v94(constB159))),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18683, 192, 18673])).
% 38.92/25.31 tff(18685,plain,
% 38.92/25.31 (~v94(constB159)),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18684, 18680])).
% 38.92/25.31 tff(18686,plain,
% 38.92/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18687,plain,
% 38.92/25.31 (((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2))) <=> (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18688,plain,
% 38.92/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2))))),
% 38.92/25.31 inference(monotonicity,[status(thm)],[18687])).
% 38.92/25.31 tff(18689,plain,
% 38.92/25.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 38.92/25.31 inference(transitivity,[status(thm)],[18688, 18686])).
% 38.92/25.31 tff(18690,plain,
% 38.92/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 38.92/25.31 inference(quant_inst,[status(thm)],[])).
% 38.92/25.31 tff(18691,plain,
% 38.92/25.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2))),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18690, 18689])).
% 38.92/25.31 tff(18692,plain,
% 38.92/25.31 (v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2))),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18691, 207, 18673])).
% 38.92/25.31 tff(18693,plain,
% 38.92/25.31 (v84(constB158, bitIndex2) | (~v84(constB159, bitIndex2))),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18692, 18685])).
% 38.92/25.31 tff(18694,plain,
% 38.92/25.31 (~v84(constB159, bitIndex2)),
% 38.92/25.31 inference(unit_resolution,[status(thm)],[18693, 18667])).
% 38.92/25.31 tff(18695,plain,
% 38.92/25.31 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB157)) | v124(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB157)) | v124(constB157, bitIndex1))),
% 38.92/25.31 inference(rewrite,[status(thm)],[])).
% 38.92/25.31 tff(18696,plain,
% 38.92/25.31 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB157)) | v124(constB157, bitIndex1))),
% 38.92/25.31 inference(quant_inst,[status(thm)],[])).
% 38.92/25.31 tff(18697,plain,
% 38.92/25.31 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB157)) | v124(constB157, bitIndex1)),
% 38.92/25.31 inference(modus_ponens,[status(thm)],[18696, 18695])).
% 38.92/25.32 tff(18698,plain,
% 38.92/25.32 (v124(constB157, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18697, 1513, 18565])).
% 38.92/25.32 tff(18699,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB157) | (~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB157) | (~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18700,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB157) | (~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18701,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB157) | (~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1)),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18700, 18699])).
% 38.92/25.32 tff(18702,plain,
% 38.92/25.32 ((~v124(constB157, bitIndex1)) | v121(constB157, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18701, 875, 18593])).
% 38.92/25.32 tff(18703,plain,
% 38.92/25.32 (v121(constB157, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18702, 18698])).
% 38.92/25.32 tff(18704,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18705,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18706,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1)),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18705, 18704])).
% 38.92/25.32 tff(18707,plain,
% 38.92/25.32 ((~v121(constB157, bitIndex1)) | v123(constB158, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18706, 890, 18608])).
% 38.92/25.32 tff(18708,plain,
% 38.92/25.32 (v123(constB158, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18707, 18703])).
% 38.92/25.32 tff(18709,plain,
% 38.92/25.32 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18710,plain,
% 38.92/25.32 ((v84(constB158, bitIndex1) | (~v94(constB158)) | (~v123(constB158, bitIndex1))) <=> (v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18711,plain,
% 38.92/25.32 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v94(constB158)) | (~v123(constB158, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158))))),
% 38.92/25.32 inference(monotonicity,[status(thm)],[18710])).
% 38.92/25.32 tff(18712,plain,
% 38.92/25.32 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v94(constB158)) | (~v123(constB158, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158)))),
% 38.92/25.32 inference(transitivity,[status(thm)],[18711, 18709])).
% 38.92/25.32 tff(18713,plain,
% 38.92/25.32 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~v94(constB158)) | (~v123(constB158, bitIndex1)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18714,plain,
% 38.92/25.32 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~v123(constB158, bitIndex1)) | (~v94(constB158))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18713, 18712])).
% 38.92/25.32 tff(18715,plain,
% 38.92/25.32 (v84(constB158, bitIndex1) | (~v94(constB158))),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18714, 905, 18708])).
% 38.92/25.32 tff(18716,plain,
% 38.92/25.32 (v84(constB158, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18715, 18642])).
% 38.92/25.32 tff(18717,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18718,plain,
% 38.92/25.32 (((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1)) <=> ((~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18719,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1)))),
% 38.92/25.32 inference(monotonicity,[status(thm)],[18718])).
% 38.92/25.32 tff(18720,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1))),
% 38.92/25.32 inference(transitivity,[status(thm)],[18719, 18717])).
% 38.92/25.32 tff(18721,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18722,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex1)),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18721, 18720])).
% 38.92/25.32 tff(18723,plain,
% 38.92/25.32 ((~v84(constB158, bitIndex1)) | v94(constB159) | v84(constB159, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18722, 923, 18673])).
% 38.92/25.32 tff(18724,plain,
% 38.92/25.32 ((~v84(constB158, bitIndex1)) | v84(constB159, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18723, 18685])).
% 38.92/25.32 tff(18725,plain,
% 38.92/25.32 (v84(constB159, bitIndex1)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18724, 18716])).
% 38.92/25.32 tff(18726,plain,
% 38.92/25.32 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB157)) | (~v124(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB157)) | (~v124(constB157, bitIndex0)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18727,plain,
% 38.92/25.32 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB157)) | (~v124(constB157, bitIndex0)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18728,plain,
% 38.92/25.32 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB157)) | (~v124(constB157, bitIndex0))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18727, 18726])).
% 38.92/25.32 tff(18729,plain,
% 38.92/25.32 (~v124(constB157, bitIndex0)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18728, 1554, 18565])).
% 38.92/25.32 tff(18730,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18731,plain,
% 38.92/25.32 ((v26(constB157) | v124(constB157, bitIndex0) | (~v121(constB157, bitIndex0))) <=> ((~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18732,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB157) | v124(constB157, bitIndex0) | (~v121(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0)))),
% 38.92/25.32 inference(monotonicity,[status(thm)],[18731])).
% 38.92/25.32 tff(18733,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB157) | v124(constB157, bitIndex0) | (~v121(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0))),
% 38.92/25.32 inference(transitivity,[status(thm)],[18732, 18730])).
% 38.92/25.32 tff(18734,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB157) | v124(constB157, bitIndex0) | (~v121(constB157, bitIndex0)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18735,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB157, bitIndex0)) | v26(constB157) | v124(constB157, bitIndex0)),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18734, 18733])).
% 38.92/25.32 tff(18736,plain,
% 38.92/25.32 ((~v121(constB157, bitIndex0)) | v124(constB157, bitIndex0)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18735, 650, 18593])).
% 38.92/25.32 tff(18737,plain,
% 38.92/25.32 (~v121(constB157, bitIndex0)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18736, 18729])).
% 38.92/25.32 tff(18738,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18739,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18740,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18739, 18738])).
% 38.92/25.32 tff(18741,plain,
% 38.92/25.32 (v121(constB157, bitIndex0) | (~v123(constB158, bitIndex0))),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18740, 668, 18608])).
% 38.92/25.32 tff(18742,plain,
% 38.92/25.32 (~v123(constB158, bitIndex0)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18741, 18737])).
% 38.92/25.32 tff(18743,plain,
% 38.92/25.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18744,plain,
% 38.92/25.32 (((~v84(constB158, bitIndex0)) | (~v94(constB158)) | v123(constB158, bitIndex0)) <=> ((~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18745,plain,
% 38.92/25.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~v94(constB158)) | v123(constB158, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158))))),
% 38.92/25.32 inference(monotonicity,[status(thm)],[18744])).
% 38.92/25.32 tff(18746,plain,
% 38.92/25.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~v94(constB158)) | v123(constB158, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158)))),
% 38.92/25.32 inference(transitivity,[status(thm)],[18745, 18743])).
% 38.92/25.32 tff(18747,plain,
% 38.92/25.32 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~v94(constB158)) | v123(constB158, bitIndex0))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18748,plain,
% 38.92/25.32 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | v123(constB158, bitIndex0) | (~v94(constB158))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18747, 18746])).
% 38.92/25.32 tff(18749,plain,
% 38.92/25.32 ((~v84(constB158, bitIndex0)) | (~v94(constB158))),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18748, 683, 18742])).
% 38.92/25.32 tff(18750,plain,
% 38.92/25.32 (~v84(constB158, bitIndex0)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18749, 18642])).
% 38.92/25.32 tff(18751,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18752,plain,
% 38.92/25.32 (((~nextState(constB158, constB159)) | v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0))) <=> (v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18753,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0))))),
% 38.92/25.32 inference(monotonicity,[status(thm)],[18752])).
% 38.92/25.32 tff(18754,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0)))),
% 38.92/25.32 inference(transitivity,[status(thm)],[18753, 18751])).
% 38.92/25.32 tff(18755,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18756,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex0))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18755, 18754])).
% 38.92/25.32 tff(18757,plain,
% 38.92/25.32 (v84(constB158, bitIndex0) | v94(constB159) | (~v84(constB159, bitIndex0))),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18756, 249, 18673])).
% 38.92/25.32 tff(18758,plain,
% 38.92/25.32 (v84(constB158, bitIndex0) | (~v84(constB159, bitIndex0))),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18757, 18685])).
% 38.92/25.32 tff(18759,plain,
% 38.92/25.32 (~v84(constB159, bitIndex0)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18758, 18750])).
% 38.92/25.32 tff(18760,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | v84(constB159, bitIndex2) | v115(constB159))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | v84(constB159, bitIndex2) | v115(constB159))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18761,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | v84(constB159, bitIndex2) | v115(constB159))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18762,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB159, bitIndex0) | (~v84(constB159, bitIndex1)) | v84(constB159, bitIndex2) | v115(constB159)),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18761, 18760])).
% 38.92/25.32 tff(18763,plain,
% 38.92/25.32 (v115(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18762, 1598, 18759, 18725, 18694])).
% 38.92/25.32 tff(18764,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB159) | (~v115(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18765,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB159) | (~v115(constB159)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18766,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB159) | (~v115(constB159))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18765, 18764])).
% 38.92/25.32 tff(18767,plain,
% 38.92/25.32 (v111(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18766, 1609, 18763])).
% 38.92/25.32 tff(18768,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB159) | (~v111(constB159)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB159) | (~v111(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18769,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB159) | (~v111(constB159)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18770,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB159) | (~v111(constB159))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18769, 18768])).
% 38.92/25.32 tff(18771,plain,
% 38.92/25.32 (v110(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18770, 303, 18767])).
% 38.92/25.32 tff(18772,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB159) | (~v110(constB159)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB159) | (~v110(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18773,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB159) | (~v110(constB159)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18774,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB159) | (~v110(constB159))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18773, 18772])).
% 38.92/25.32 tff(18775,plain,
% 38.92/25.32 (v109(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18774, 314, 18771])).
% 38.92/25.32 tff(18776,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB159) | (~v109(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB159) | (~v109(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18777,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB159) | (~v109(constB159)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18778,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB159) | (~v109(constB159))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18777, 18776])).
% 38.92/25.32 tff(18779,plain,
% 38.92/25.32 (v108(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18778, 325, 18775])).
% 38.92/25.32 tff(18780,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB159) | (~v108(constB159)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB159) | (~v108(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18781,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB159) | (~v108(constB159)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18782,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB159) | (~v108(constB159))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18781, 18780])).
% 38.92/25.32 tff(18783,plain,
% 38.92/25.32 (v107(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18782, 336, 18779])).
% 38.92/25.32 tff(18784,assumption,(~v102(constB159)), introduced(assumption)).
% 38.92/25.32 tff(18785,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB159) | (~v106(constB159)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB159) | (~v106(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18786,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB159) | (~v106(constB159)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18787,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB159) | (~v106(constB159))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18786, 18785])).
% 38.92/25.32 tff(18788,plain,
% 38.92/25.32 (~v106(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18787, 362, 18784])).
% 38.92/25.32 tff(18789,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB159) | (~v26(constB159)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB159) | (~v26(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18790,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB159) | (~v26(constB159)))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18791,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB159) | (~v26(constB159))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18790, 18789])).
% 38.92/25.32 tff(18792,plain,
% 38.92/25.32 (~v26(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18791, 753, 18784])).
% 38.92/25.32 tff(18793,assumption,(v107(constB159)), introduced(assumption)).
% 38.92/25.32 tff(18794,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | v106(constB159) | (~v107(constB159)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18795,plain,
% 38.92/25.32 ((v26(constB159) | (~v107(constB159)) | v106(constB159)) <=> (v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18796,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | v106(constB159) | (~v107(constB159))))),
% 38.92/25.32 inference(monotonicity,[status(thm)],[18795])).
% 38.92/25.32 tff(18797,plain,
% 38.92/25.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 38.92/25.32 inference(transitivity,[status(thm)],[18796, 18794])).
% 38.92/25.32 tff(18798,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18799,plain,
% 38.92/25.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159))),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18798, 18797])).
% 38.92/25.32 tff(18800,plain,
% 38.92/25.32 (v26(constB159) | v106(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18799, 350, 18793])).
% 38.92/25.32 tff(18801,plain,
% 38.92/25.32 ($false),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18800, 18792, 18788])).
% 38.92/25.32 tff(18802,plain,(v102(constB159) | (~v107(constB159))), inference(lemma,lemma(discharge,[]))).
% 38.92/25.32 tff(18803,plain,
% 38.92/25.32 (v102(constB159)),
% 38.92/25.32 inference(unit_resolution,[status(thm)],[18802, 18783])).
% 38.92/25.32 tff(18804,plain,
% 38.92/25.32 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18805,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 38.92/25.32 tff(18806,plain,
% 38.92/25.32 (nextState(constB159, constB160)),
% 38.92/25.32 inference(modus_ponens,[status(thm)],[18805, 18804])).
% 38.92/25.32 tff(18807,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18808,plain,
% 38.92/25.32 (((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160)) <=> ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 38.92/25.32 inference(rewrite,[status(thm)],[])).
% 38.92/25.32 tff(18809,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159))))),
% 38.92/25.32 inference(monotonicity,[status(thm)],[18808])).
% 38.92/25.32 tff(18810,plain,
% 38.92/25.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 38.92/25.32 inference(transitivity,[status(thm)],[18809, 18807])).
% 38.92/25.32 tff(18811,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))),
% 38.92/25.32 inference(quant_inst,[status(thm)],[])).
% 38.92/25.32 tff(18812,plain,
% 38.92/25.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 38.92/25.33 tff(18813,plain,
% 38.92/25.33 (v104(constB160) | (~v102(constB159))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18812, 379, 18806])).
% 38.92/25.33 tff(18814,plain,
% 38.92/25.33 (v104(constB160)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18813, 18803])).
% 38.92/25.33 tff(18815,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18816,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18817,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18816, 18815])).
% 38.92/25.33 tff(18818,plain,
% 38.92/25.33 (~v98(constB160)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18817, 397, 18806, 18670])).
% 38.92/25.33 tff(18819,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18820,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18821,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB159, constB160)) | v96(constB160) | v98(constB160)),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18820, 18819])).
% 38.92/25.33 tff(18822,plain,
% 38.92/25.33 (v96(constB160) | v98(constB160)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18821, 411, 18806])).
% 38.92/25.33 tff(18823,plain,
% 38.92/25.33 (v96(constB160)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18822, 18818])).
% 38.92/25.33 tff(18824,plain,
% 38.92/25.33 (v1(constB160) <=> v1(constB160)),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18825,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 38.92/25.33 tff(18826,plain,
% 38.92/25.33 (v1(constB160)),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18825, 18824])).
% 38.92/25.33 tff(18827,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18828,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18829,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18828, 18827])).
% 38.92/25.33 tff(18830,plain,
% 38.92/25.33 (v95(constB160) | (~v96(constB160))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18829, 429, 18806, 18826])).
% 38.92/25.33 tff(18831,plain,
% 38.92/25.33 (v95(constB160)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18830, 18823])).
% 38.92/25.33 tff(18832,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18833,plain,
% 38.92/25.33 (((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160)) <=> ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18834,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160))))),
% 38.92/25.33 inference(monotonicity,[status(thm)],[18833])).
% 38.92/25.33 tff(18835,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 38.92/25.33 inference(transitivity,[status(thm)],[18834, 18832])).
% 38.92/25.33 tff(18836,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18837,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18836, 18835])).
% 38.92/25.33 tff(18838,plain,
% 38.92/25.33 (v94(constB160) | (~v95(constB160)) | (~v104(constB160))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18837, 444, 18806])).
% 38.92/25.33 tff(18839,plain,
% 38.92/25.33 (v94(constB160) | (~v104(constB160))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18838, 18831])).
% 38.92/25.33 tff(18840,plain,
% 38.92/25.33 (v94(constB160)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18839, 18814])).
% 38.92/25.33 tff(18841,plain,
% 38.92/25.33 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB159)) | (~v124(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB159)) | (~v124(constB159, bitIndex2)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18842,plain,
% 38.92/25.33 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB159)) | (~v124(constB159, bitIndex2)))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18843,plain,
% 38.92/25.33 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB159)) | (~v124(constB159, bitIndex2))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18842, 18841])).
% 38.92/25.33 tff(18844,plain,
% 38.92/25.33 (~v124(constB159, bitIndex2)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18843, 1688, 18763])).
% 38.92/25.33 tff(18845,assumption,(v26(constB159)), introduced(assumption)).
% 38.92/25.33 tff(18846,plain,
% 38.92/25.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18847,plain,
% 38.92/25.33 ($false),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18846, 120, 18845])).
% 38.92/25.33 tff(18848,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 38.92/25.33 tff(18849,plain,
% 38.92/25.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18850,plain,
% 38.92/25.33 ((v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2))) <=> ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18851,plain,
% 38.92/25.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2)))),
% 38.92/25.33 inference(monotonicity,[status(thm)],[18850])).
% 38.92/25.33 tff(18852,plain,
% 38.92/25.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 38.92/25.33 inference(transitivity,[status(thm)],[18851, 18849])).
% 38.92/25.33 tff(18853,plain,
% 38.92/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18854,plain,
% 38.92/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2)),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18853, 18852])).
% 38.92/25.33 tff(18855,plain,
% 38.92/25.33 ((~v121(constB159, bitIndex2)) | v124(constB159, bitIndex2)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18854, 1147, 18848])).
% 38.92/25.33 tff(18856,plain,
% 38.92/25.33 (~v121(constB159, bitIndex2)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18855, 18844])).
% 38.92/25.33 tff(18857,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18858,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18859,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 38.92/25.33 tff(18860,plain,
% 38.92/25.33 (v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18859, 1165, 18806])).
% 38.92/25.33 tff(18861,plain,
% 38.92/25.33 (~v123(constB160, bitIndex2)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18860, 18856])).
% 38.92/25.33 tff(18862,plain,
% 38.92/25.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18863,plain,
% 38.92/25.33 (((~v84(constB160, bitIndex2)) | (~v94(constB160)) | v123(constB160, bitIndex2)) <=> ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18864,plain,
% 38.92/25.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | (~v94(constB160)) | v123(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160))))),
% 38.92/25.33 inference(monotonicity,[status(thm)],[18863])).
% 38.92/25.33 tff(18865,plain,
% 38.92/25.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | (~v94(constB160)) | v123(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 38.92/25.33 inference(transitivity,[status(thm)],[18864, 18862])).
% 38.92/25.33 tff(18866,plain,
% 38.92/25.33 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | (~v94(constB160)) | v123(constB160, bitIndex2))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18867,plain,
% 38.92/25.33 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 38.92/25.33 tff(18868,plain,
% 38.92/25.33 ((~v84(constB160, bitIndex2)) | (~v94(constB160))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18867, 1180, 18861])).
% 38.92/25.33 tff(18869,plain,
% 38.92/25.33 (~v84(constB160, bitIndex2)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18868, 18840])).
% 38.92/25.33 tff(18870,plain,
% 38.92/25.33 ((~v1(constB161)) <=> (~v1(constB161))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18871,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 38.92/25.33 tff(18872,plain,
% 38.92/25.33 (~v1(constB161)),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 38.92/25.33 tff(18873,plain,
% 38.92/25.33 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18874,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 38.92/25.33 tff(18875,plain,
% 38.92/25.33 (nextState(constB160, constB161)),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18874, 18873])).
% 38.92/25.33 tff(18876,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18877,plain,
% 38.92/25.33 (((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18878,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161))))),
% 38.92/25.33 inference(monotonicity,[status(thm)],[18877])).
% 38.92/25.33 tff(18879,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 38.92/25.33 inference(transitivity,[status(thm)],[18878, 18876])).
% 38.92/25.33 tff(18880,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18881,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18880, 18879])).
% 38.92/25.33 tff(18882,plain,
% 38.92/25.33 (~v95(constB161)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18881, 175, 18875, 18872])).
% 38.92/25.33 tff(18883,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18884,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18885,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 38.92/25.33 tff(18886,plain,
% 38.92/25.33 (v95(constB161) | (~v94(constB161))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18885, 192, 18875])).
% 38.92/25.33 tff(18887,plain,
% 38.92/25.33 (~v94(constB161)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18886, 18882])).
% 38.92/25.33 tff(18888,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18889,plain,
% 38.92/25.33 (((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2))) <=> (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18890,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2))))),
% 38.92/25.33 inference(monotonicity,[status(thm)],[18889])).
% 38.92/25.33 tff(18891,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 38.92/25.33 inference(transitivity,[status(thm)],[18890, 18888])).
% 38.92/25.33 tff(18892,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18893,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2))),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18892, 18891])).
% 38.92/25.33 tff(18894,plain,
% 38.92/25.33 (v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18893, 207, 18875])).
% 38.92/25.33 tff(18895,plain,
% 38.92/25.33 (v84(constB160, bitIndex2) | (~v84(constB161, bitIndex2))),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18894, 18887])).
% 38.92/25.33 tff(18896,plain,
% 38.92/25.33 (~v84(constB161, bitIndex2)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18895, 18869])).
% 38.92/25.33 tff(18897,plain,
% 38.92/25.33 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB159)) | v124(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB159)) | v124(constB159, bitIndex1))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18898,plain,
% 38.92/25.33 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB159)) | v124(constB159, bitIndex1))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18899,plain,
% 38.92/25.33 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB159)) | v124(constB159, bitIndex1)),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18898, 18897])).
% 38.92/25.33 tff(18900,plain,
% 38.92/25.33 (v124(constB159, bitIndex1)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18899, 1750, 18763])).
% 38.92/25.33 tff(18901,plain,
% 38.92/25.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18902,plain,
% 38.92/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18903,plain,
% 38.92/25.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1)),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18902, 18901])).
% 38.92/25.33 tff(18904,plain,
% 38.92/25.33 ((~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18903, 875, 18848])).
% 38.92/25.33 tff(18905,plain,
% 38.92/25.33 (v121(constB159, bitIndex1)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18904, 18900])).
% 38.92/25.33 tff(18906,plain,
% 38.92/25.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))),
% 38.92/25.33 inference(rewrite,[status(thm)],[])).
% 38.92/25.33 tff(18907,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))),
% 38.92/25.33 inference(quant_inst,[status(thm)],[])).
% 38.92/25.33 tff(18908,plain,
% 38.92/25.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1)),
% 38.92/25.33 inference(modus_ponens,[status(thm)],[18907, 18906])).
% 38.92/25.33 tff(18909,plain,
% 38.92/25.33 ((~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18908, 890, 18806])).
% 38.92/25.33 tff(18910,plain,
% 38.92/25.33 (v123(constB160, bitIndex1)),
% 38.92/25.33 inference(unit_resolution,[status(thm)],[18909, 18905])).
% 38.92/25.33 tff(18911,plain,
% 38.92/25.33 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18912,plain,
% 38.92/25.34 ((v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1))) <=> (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18913,plain,
% 38.92/25.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160))))),
% 38.92/25.34 inference(monotonicity,[status(thm)],[18912])).
% 38.92/25.34 tff(18914,plain,
% 38.92/25.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 38.92/25.34 inference(transitivity,[status(thm)],[18913, 18911])).
% 38.92/25.34 tff(18915,plain,
% 38.92/25.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18916,plain,
% 38.92/25.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18915, 18914])).
% 38.92/25.34 tff(18917,plain,
% 38.92/25.34 (v84(constB160, bitIndex1) | (~v94(constB160))),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18916, 905, 18910])).
% 38.92/25.34 tff(18918,plain,
% 38.92/25.34 (v84(constB160, bitIndex1)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18917, 18840])).
% 38.92/25.34 tff(18919,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18920,plain,
% 38.92/25.34 (((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1)) <=> ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18921,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1)))),
% 38.92/25.34 inference(monotonicity,[status(thm)],[18920])).
% 38.92/25.34 tff(18922,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 38.92/25.34 inference(transitivity,[status(thm)],[18921, 18919])).
% 38.92/25.34 tff(18923,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18924,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18923, 18922])).
% 38.92/25.34 tff(18925,plain,
% 38.92/25.34 ((~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18924, 923, 18875])).
% 38.92/25.34 tff(18926,plain,
% 38.92/25.34 ((~v84(constB160, bitIndex1)) | v84(constB161, bitIndex1)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18925, 18887])).
% 38.92/25.34 tff(18927,plain,
% 38.92/25.34 (v84(constB161, bitIndex1)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18926, 18918])).
% 38.92/25.34 tff(18928,plain,
% 38.92/25.34 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB159)) | v124(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB159)) | v124(constB159, bitIndex0))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18929,plain,
% 38.92/25.34 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB159)) | v124(constB159, bitIndex0))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18930,plain,
% 38.92/25.34 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB159)) | v124(constB159, bitIndex0)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18929, 18928])).
% 38.92/25.34 tff(18931,plain,
% 38.92/25.34 (v124(constB159, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18930, 1791, 18763])).
% 38.92/25.34 tff(18932,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB159) | (~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB159) | (~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18933,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB159) | (~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18934,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB159) | (~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18933, 18932])).
% 38.92/25.34 tff(18935,plain,
% 38.92/25.34 ((~v124(constB159, bitIndex0)) | v121(constB159, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18934, 1289, 18848])).
% 38.92/25.34 tff(18936,plain,
% 38.92/25.34 (v121(constB159, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18935, 18931])).
% 38.92/25.34 tff(18937,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18938,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18939,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18938, 18937])).
% 38.92/25.34 tff(18940,plain,
% 38.92/25.34 ((~v121(constB159, bitIndex0)) | v123(constB160, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18939, 1304, 18806])).
% 38.92/25.34 tff(18941,plain,
% 38.92/25.34 (v123(constB160, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18940, 18936])).
% 38.92/25.34 tff(18942,plain,
% 38.92/25.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18943,plain,
% 38.92/25.34 ((v84(constB160, bitIndex0) | (~v94(constB160)) | (~v123(constB160, bitIndex0))) <=> (v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18944,plain,
% 38.92/25.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v94(constB160)) | (~v123(constB160, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160))))),
% 38.92/25.34 inference(monotonicity,[status(thm)],[18943])).
% 38.92/25.34 tff(18945,plain,
% 38.92/25.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v94(constB160)) | (~v123(constB160, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160)))),
% 38.92/25.34 inference(transitivity,[status(thm)],[18944, 18942])).
% 38.92/25.34 tff(18946,plain,
% 38.92/25.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~v94(constB160)) | (~v123(constB160, bitIndex0)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18947,plain,
% 38.92/25.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~v123(constB160, bitIndex0)) | (~v94(constB160))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18946, 18945])).
% 38.92/25.34 tff(18948,plain,
% 38.92/25.34 (v84(constB160, bitIndex0) | (~v94(constB160))),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18947, 1319, 18941])).
% 38.92/25.34 tff(18949,plain,
% 38.92/25.34 (v84(constB160, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18948, 18840])).
% 38.92/25.34 tff(18950,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18951,plain,
% 38.92/25.34 (((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0)) <=> ((~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18952,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0)))),
% 38.92/25.34 inference(monotonicity,[status(thm)],[18951])).
% 38.92/25.34 tff(18953,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0))),
% 38.92/25.34 inference(transitivity,[status(thm)],[18952, 18950])).
% 38.92/25.34 tff(18954,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18955,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex0)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18954, 18953])).
% 38.92/25.34 tff(18956,plain,
% 38.92/25.34 ((~v84(constB160, bitIndex0)) | v94(constB161) | v84(constB161, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18955, 1337, 18875])).
% 38.92/25.34 tff(18957,plain,
% 38.92/25.34 ((~v84(constB160, bitIndex0)) | v84(constB161, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18956, 18887])).
% 38.92/25.34 tff(18958,plain,
% 38.92/25.34 (v84(constB161, bitIndex0)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18957, 18949])).
% 38.92/25.34 tff(18959,plain,
% 38.92/25.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB161, bitIndex0)) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v116(constB161))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB161, bitIndex0)) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v116(constB161))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18960,plain,
% 38.92/25.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB161, bitIndex0)) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v116(constB161))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18961,plain,
% 38.92/25.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB161, bitIndex0)) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v116(constB161)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18960, 18959])).
% 38.92/25.34 tff(18962,plain,
% 38.92/25.34 (v116(constB161)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18961, 1832, 18958, 18927, 18896])).
% 38.92/25.34 tff(18963,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB161) | (~v116(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18964,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB161) | (~v116(constB161)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18965,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB161) | (~v116(constB161))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18964, 18963])).
% 38.92/25.34 tff(18966,plain,
% 38.92/25.34 (v110(constB161)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18965, 1843, 18962])).
% 38.92/25.34 tff(18967,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB161) | (~v110(constB161)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB161) | (~v110(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18968,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB161) | (~v110(constB161)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18969,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB161) | (~v110(constB161))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18968, 18967])).
% 38.92/25.34 tff(18970,plain,
% 38.92/25.34 (v109(constB161)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18969, 314, 18966])).
% 38.92/25.34 tff(18971,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB161) | (~v109(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB161) | (~v109(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18972,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB161) | (~v109(constB161)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18973,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB161) | (~v109(constB161))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18972, 18971])).
% 38.92/25.34 tff(18974,plain,
% 38.92/25.34 (v108(constB161)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18973, 325, 18970])).
% 38.92/25.34 tff(18975,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB161) | (~v108(constB161)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB161) | (~v108(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18976,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB161) | (~v108(constB161)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18977,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB161) | (~v108(constB161))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 38.92/25.34 tff(18978,plain,
% 38.92/25.34 (v107(constB161)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18977, 336, 18974])).
% 38.92/25.34 tff(18979,assumption,(v26(constB161)), introduced(assumption)).
% 38.92/25.34 tff(18980,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18981,plain,
% 38.92/25.34 ($false),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18980, 120, 18979])).
% 38.92/25.34 tff(18982,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 38.92/25.34 tff(18983,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | v106(constB161) | (~v107(constB161)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18984,plain,
% 38.92/25.34 ((v26(constB161) | (~v107(constB161)) | v106(constB161)) <=> (v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18985,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | v106(constB161) | (~v107(constB161))))),
% 38.92/25.34 inference(monotonicity,[status(thm)],[18984])).
% 38.92/25.34 tff(18986,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 38.92/25.34 inference(transitivity,[status(thm)],[18985, 18983])).
% 38.92/25.34 tff(18987,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18988,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 38.92/25.34 tff(18989,plain,
% 38.92/25.34 (v106(constB161) | (~v107(constB161))),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18988, 350, 18982])).
% 38.92/25.34 tff(18990,plain,
% 38.92/25.34 (v106(constB161)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18989, 18978])).
% 38.92/25.34 tff(18991,plain,
% 38.92/25.34 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB161) | (~v106(constB161)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB161) | (~v106(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18992,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB161) | (~v106(constB161)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(18993,plain,
% 38.92/25.34 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB161) | (~v106(constB161))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 38.92/25.34 tff(18994,plain,
% 38.92/25.34 (v102(constB161)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[18993, 362, 18990])).
% 38.92/25.34 tff(18995,plain,
% 38.92/25.34 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18996,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 38.92/25.34 tff(18997,plain,
% 38.92/25.34 (nextState(constB161, constB162)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[18996, 18995])).
% 38.92/25.34 tff(18998,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(18999,plain,
% 38.92/25.34 (((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162)) <=> ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(19000,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161))))),
% 38.92/25.34 inference(monotonicity,[status(thm)],[18999])).
% 38.92/25.34 tff(19001,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 38.92/25.34 inference(transitivity,[status(thm)],[19000, 18998])).
% 38.92/25.34 tff(19002,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(19003,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[19002, 19001])).
% 38.92/25.34 tff(19004,plain,
% 38.92/25.34 (v104(constB162) | (~v102(constB161))),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[19003, 379, 18997])).
% 38.92/25.34 tff(19005,plain,
% 38.92/25.34 (v104(constB162)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[19004, 18994])).
% 38.92/25.34 tff(19006,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(19007,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(19008,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[19007, 19006])).
% 38.92/25.34 tff(19009,plain,
% 38.92/25.34 (~v98(constB162)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[19008, 397, 18997, 18872])).
% 38.92/25.34 tff(19010,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(19011,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(19012,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB161, constB162)) | v96(constB162) | v98(constB162)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[19011, 19010])).
% 38.92/25.34 tff(19013,plain,
% 38.92/25.34 (v96(constB162) | v98(constB162)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[19012, 411, 18997])).
% 38.92/25.34 tff(19014,plain,
% 38.92/25.34 (v96(constB162)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[19013, 19009])).
% 38.92/25.34 tff(19015,plain,
% 38.92/25.34 (v1(constB162) <=> v1(constB162)),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(19016,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 38.92/25.34 tff(19017,plain,
% 38.92/25.34 (v1(constB162)),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[19016, 19015])).
% 38.92/25.34 tff(19018,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(19019,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))),
% 38.92/25.34 inference(quant_inst,[status(thm)],[])).
% 38.92/25.34 tff(19020,plain,
% 38.92/25.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162))),
% 38.92/25.34 inference(modus_ponens,[status(thm)],[19019, 19018])).
% 38.92/25.34 tff(19021,plain,
% 38.92/25.34 (v95(constB162) | (~v96(constB162))),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[19020, 429, 18997, 19017])).
% 38.92/25.34 tff(19022,plain,
% 38.92/25.34 (v95(constB162)),
% 38.92/25.34 inference(unit_resolution,[status(thm)],[19021, 19014])).
% 38.92/25.34 tff(19023,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(19024,plain,
% 38.92/25.34 (((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162)) <=> ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 38.92/25.34 inference(rewrite,[status(thm)],[])).
% 38.92/25.34 tff(19025,plain,
% 38.92/25.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162))))),
% 38.92/25.34 inference(monotonicity,[status(thm)],[19024])).
% 38.92/25.35 tff(19026,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 38.92/25.35 inference(transitivity,[status(thm)],[19025, 19023])).
% 38.92/25.35 tff(19027,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19028,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 38.92/25.35 tff(19029,plain,
% 38.92/25.35 (v94(constB162) | (~v95(constB162)) | (~v104(constB162))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19028, 444, 18997])).
% 38.92/25.35 tff(19030,plain,
% 38.92/25.35 (v94(constB162) | (~v104(constB162))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19029, 19022])).
% 38.92/25.35 tff(19031,plain,
% 38.92/25.35 (v94(constB162)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19030, 19005])).
% 38.92/25.35 tff(19032,plain,
% 38.92/25.35 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB161)) | v124(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB161)) | v124(constB161, bitIndex2))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19033,plain,
% 38.92/25.35 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB161)) | v124(constB161, bitIndex2))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19034,plain,
% 38.92/25.35 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB161)) | v124(constB161, bitIndex2)),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19033, 19032])).
% 38.92/25.35 tff(19035,plain,
% 38.92/25.35 (v124(constB161, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19034, 1918, 18962])).
% 38.92/25.35 tff(19036,plain,
% 38.92/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB161) | (~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB161) | (~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19037,plain,
% 38.92/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB161) | (~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19038,plain,
% 38.92/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB161) | (~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2)),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19037, 19036])).
% 38.92/25.35 tff(19039,plain,
% 38.92/25.35 ((~v124(constB161, bitIndex2)) | v121(constB161, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19038, 477, 18982])).
% 38.92/25.35 tff(19040,plain,
% 38.92/25.35 (v121(constB161, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19039, 19035])).
% 38.92/25.35 tff(19041,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19042,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19043,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2)),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19042, 19041])).
% 38.92/25.35 tff(19044,plain,
% 38.92/25.35 ((~v121(constB161, bitIndex2)) | v123(constB162, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19043, 492, 18997])).
% 38.92/25.35 tff(19045,plain,
% 38.92/25.35 (v123(constB162, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19044, 19040])).
% 38.92/25.35 tff(19046,plain,
% 38.92/25.35 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19047,plain,
% 38.92/25.35 ((v84(constB162, bitIndex2) | (~v94(constB162)) | (~v123(constB162, bitIndex2))) <=> (v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19048,plain,
% 38.92/25.35 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v94(constB162)) | (~v123(constB162, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162))))),
% 38.92/25.35 inference(monotonicity,[status(thm)],[19047])).
% 38.92/25.35 tff(19049,plain,
% 38.92/25.35 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v94(constB162)) | (~v123(constB162, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162)))),
% 38.92/25.35 inference(transitivity,[status(thm)],[19048, 19046])).
% 38.92/25.35 tff(19050,plain,
% 38.92/25.35 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~v94(constB162)) | (~v123(constB162, bitIndex2)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19051,plain,
% 38.92/25.35 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~v123(constB162, bitIndex2)) | (~v94(constB162))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19050, 19049])).
% 38.92/25.35 tff(19052,plain,
% 38.92/25.35 (v84(constB162, bitIndex2) | (~v94(constB162))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19051, 507, 19045])).
% 38.92/25.35 tff(19053,plain,
% 38.92/25.35 (v84(constB162, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19052, 19031])).
% 38.92/25.35 tff(19054,plain,
% 38.92/25.35 ((~v1(constB163)) <=> (~v1(constB163))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19055,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 38.92/25.35 tff(19056,plain,
% 38.92/25.35 (~v1(constB163)),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19055, 19054])).
% 38.92/25.35 tff(19057,plain,
% 38.92/25.35 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19058,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 38.92/25.35 tff(19059,plain,
% 38.92/25.35 (nextState(constB162, constB163)),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19058, 19057])).
% 38.92/25.35 tff(19060,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19061,plain,
% 38.92/25.35 (((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19062,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163))))),
% 38.92/25.35 inference(monotonicity,[status(thm)],[19061])).
% 38.92/25.35 tff(19063,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 38.92/25.35 inference(transitivity,[status(thm)],[19062, 19060])).
% 38.92/25.35 tff(19064,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19065,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 38.92/25.35 tff(19066,plain,
% 38.92/25.35 (~v95(constB163)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19065, 175, 19059, 19056])).
% 38.92/25.35 tff(19067,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19068,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19069,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19068, 19067])).
% 38.92/25.35 tff(19070,plain,
% 38.92/25.35 (v95(constB163) | (~v94(constB163))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19069, 192, 19059])).
% 38.92/25.35 tff(19071,plain,
% 38.92/25.35 (~v94(constB163)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19070, 19066])).
% 38.92/25.35 tff(19072,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19073,plain,
% 38.92/25.35 (((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2)) <=> ((~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19074,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2)))),
% 38.92/25.35 inference(monotonicity,[status(thm)],[19073])).
% 38.92/25.35 tff(19075,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2))),
% 38.92/25.35 inference(transitivity,[status(thm)],[19074, 19072])).
% 38.92/25.35 tff(19076,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19077,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex2)),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 38.92/25.35 tff(19078,plain,
% 38.92/25.35 ((~v84(constB162, bitIndex2)) | v94(constB163) | v84(constB163, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19077, 543, 19059])).
% 38.92/25.35 tff(19079,plain,
% 38.92/25.35 ((~v84(constB162, bitIndex2)) | v84(constB163, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19078, 19071])).
% 38.92/25.35 tff(19080,plain,
% 38.92/25.35 (v84(constB163, bitIndex2)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19079, 19053])).
% 38.92/25.35 tff(19081,plain,
% 38.92/25.35 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB161)) | (~v124(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB161)) | (~v124(constB161, bitIndex1)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19082,plain,
% 38.92/25.35 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB161)) | (~v124(constB161, bitIndex1)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19083,plain,
% 38.92/25.35 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB161)) | (~v124(constB161, bitIndex1))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19082, 19081])).
% 38.92/25.35 tff(19084,plain,
% 38.92/25.35 (~v124(constB161, bitIndex1)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19083, 1977, 18962])).
% 38.92/25.35 tff(19085,plain,
% 38.92/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19086,plain,
% 38.92/25.35 ((v26(constB161) | v124(constB161, bitIndex1) | (~v121(constB161, bitIndex1))) <=> ((~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19087,plain,
% 38.92/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB161) | v124(constB161, bitIndex1) | (~v121(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1)))),
% 38.92/25.35 inference(monotonicity,[status(thm)],[19086])).
% 38.92/25.35 tff(19088,plain,
% 38.92/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB161) | v124(constB161, bitIndex1) | (~v121(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1))),
% 38.92/25.35 inference(transitivity,[status(thm)],[19087, 19085])).
% 38.92/25.35 tff(19089,plain,
% 38.92/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB161) | v124(constB161, bitIndex1) | (~v121(constB161, bitIndex1)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19090,plain,
% 38.92/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB161, bitIndex1)) | v26(constB161) | v124(constB161, bitIndex1)),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19089, 19088])).
% 38.92/25.35 tff(19091,plain,
% 38.92/25.35 ((~v121(constB161, bitIndex1)) | v124(constB161, bitIndex1)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19090, 576, 18982])).
% 38.92/25.35 tff(19092,plain,
% 38.92/25.35 (~v121(constB161, bitIndex1)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19091, 19084])).
% 38.92/25.35 tff(19093,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19094,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19095,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19094, 19093])).
% 38.92/25.35 tff(19096,plain,
% 38.92/25.35 (v121(constB161, bitIndex1) | (~v123(constB162, bitIndex1))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19095, 594, 18997])).
% 38.92/25.35 tff(19097,plain,
% 38.92/25.35 (~v123(constB162, bitIndex1)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19096, 19092])).
% 38.92/25.35 tff(19098,plain,
% 38.92/25.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19099,plain,
% 38.92/25.35 (((~v84(constB162, bitIndex1)) | (~v94(constB162)) | v123(constB162, bitIndex1)) <=> ((~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19100,plain,
% 38.92/25.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~v94(constB162)) | v123(constB162, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162))))),
% 38.92/25.35 inference(monotonicity,[status(thm)],[19099])).
% 38.92/25.35 tff(19101,plain,
% 38.92/25.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~v94(constB162)) | v123(constB162, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162)))),
% 38.92/25.35 inference(transitivity,[status(thm)],[19100, 19098])).
% 38.92/25.35 tff(19102,plain,
% 38.92/25.35 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~v94(constB162)) | v123(constB162, bitIndex1))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19103,plain,
% 38.92/25.35 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | v123(constB162, bitIndex1) | (~v94(constB162))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19102, 19101])).
% 38.92/25.35 tff(19104,plain,
% 38.92/25.35 ((~v84(constB162, bitIndex1)) | (~v94(constB162))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19103, 609, 19097])).
% 38.92/25.35 tff(19105,plain,
% 38.92/25.35 (~v84(constB162, bitIndex1)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19104, 19031])).
% 38.92/25.35 tff(19106,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19107,plain,
% 38.92/25.35 (((~nextState(constB162, constB163)) | v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1))) <=> (v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19108,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1))))),
% 38.92/25.35 inference(monotonicity,[status(thm)],[19107])).
% 38.92/25.35 tff(19109,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1)))),
% 38.92/25.35 inference(transitivity,[status(thm)],[19108, 19106])).
% 38.92/25.35 tff(19110,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19111,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex1))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19110, 19109])).
% 38.92/25.35 tff(19112,plain,
% 38.92/25.35 (v84(constB162, bitIndex1) | v94(constB163) | (~v84(constB163, bitIndex1))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19111, 228, 19059])).
% 38.92/25.35 tff(19113,plain,
% 38.92/25.35 (v84(constB162, bitIndex1) | (~v84(constB163, bitIndex1))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19112, 19071])).
% 38.92/25.35 tff(19114,plain,
% 38.92/25.35 (~v84(constB163, bitIndex1)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19113, 19105])).
% 38.92/25.35 tff(19115,plain,
% 38.92/25.35 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB161)) | (~v124(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB161)) | (~v124(constB161, bitIndex0)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19116,plain,
% 38.92/25.35 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB161)) | (~v124(constB161, bitIndex0)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19117,plain,
% 38.92/25.35 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB161)) | (~v124(constB161, bitIndex0))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 38.92/25.35 tff(19118,plain,
% 38.92/25.35 (~v124(constB161, bitIndex0)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19117, 2021, 18962])).
% 38.92/25.35 tff(19119,plain,
% 38.92/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19120,plain,
% 38.92/25.35 ((v26(constB161) | v124(constB161, bitIndex0) | (~v121(constB161, bitIndex0))) <=> ((~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19121,plain,
% 38.92/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB161) | v124(constB161, bitIndex0) | (~v121(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0)))),
% 38.92/25.35 inference(monotonicity,[status(thm)],[19120])).
% 38.92/25.35 tff(19122,plain,
% 38.92/25.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB161) | v124(constB161, bitIndex0) | (~v121(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0))),
% 38.92/25.35 inference(transitivity,[status(thm)],[19121, 19119])).
% 38.92/25.35 tff(19123,plain,
% 38.92/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB161) | v124(constB161, bitIndex0) | (~v121(constB161, bitIndex0)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19124,plain,
% 38.92/25.35 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB161, bitIndex0)) | v26(constB161) | v124(constB161, bitIndex0)),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19123, 19122])).
% 38.92/25.35 tff(19125,plain,
% 38.92/25.35 ((~v121(constB161, bitIndex0)) | v124(constB161, bitIndex0)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19124, 650, 18982])).
% 38.92/25.35 tff(19126,plain,
% 38.92/25.35 (~v121(constB161, bitIndex0)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19125, 19118])).
% 38.92/25.35 tff(19127,plain,
% 38.92/25.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0)))),
% 38.92/25.35 inference(rewrite,[status(thm)],[])).
% 38.92/25.35 tff(19128,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0)))),
% 38.92/25.35 inference(quant_inst,[status(thm)],[])).
% 38.92/25.35 tff(19129,plain,
% 38.92/25.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0))),
% 38.92/25.35 inference(modus_ponens,[status(thm)],[19128, 19127])).
% 38.92/25.35 tff(19130,plain,
% 38.92/25.35 (v121(constB161, bitIndex0) | (~v123(constB162, bitIndex0))),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19129, 668, 18997])).
% 38.92/25.35 tff(19131,plain,
% 38.92/25.35 (~v123(constB162, bitIndex0)),
% 38.92/25.35 inference(unit_resolution,[status(thm)],[19130, 19126])).
% 38.92/25.35 tff(19132,plain,
% 38.92/25.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19133,plain,
% 38.92/25.36 (((~v84(constB162, bitIndex0)) | (~v94(constB162)) | v123(constB162, bitIndex0)) <=> ((~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19134,plain,
% 38.92/25.36 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~v94(constB162)) | v123(constB162, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162))))),
% 38.92/25.36 inference(monotonicity,[status(thm)],[19133])).
% 38.92/25.36 tff(19135,plain,
% 38.92/25.36 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~v94(constB162)) | v123(constB162, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162)))),
% 38.92/25.36 inference(transitivity,[status(thm)],[19134, 19132])).
% 38.92/25.36 tff(19136,plain,
% 38.92/25.36 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~v94(constB162)) | v123(constB162, bitIndex0))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19137,plain,
% 38.92/25.36 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | v123(constB162, bitIndex0) | (~v94(constB162))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 38.92/25.36 tff(19138,plain,
% 38.92/25.36 ((~v84(constB162, bitIndex0)) | (~v94(constB162))),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19137, 683, 19131])).
% 38.92/25.36 tff(19139,plain,
% 38.92/25.36 (~v84(constB162, bitIndex0)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19138, 19031])).
% 38.92/25.36 tff(19140,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19141,plain,
% 38.92/25.36 (((~nextState(constB162, constB163)) | v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0))) <=> (v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19142,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0))))),
% 38.92/25.36 inference(monotonicity,[status(thm)],[19141])).
% 38.92/25.36 tff(19143,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0)))),
% 38.92/25.36 inference(transitivity,[status(thm)],[19142, 19140])).
% 38.92/25.36 tff(19144,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0)))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19145,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex0))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19144, 19143])).
% 38.92/25.36 tff(19146,plain,
% 38.92/25.36 (v84(constB162, bitIndex0) | v94(constB163) | (~v84(constB163, bitIndex0))),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19145, 249, 19059])).
% 38.92/25.36 tff(19147,plain,
% 38.92/25.36 (v84(constB162, bitIndex0) | (~v84(constB163, bitIndex0))),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19146, 19071])).
% 38.92/25.36 tff(19148,plain,
% 38.92/25.36 (~v84(constB163, bitIndex0)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19147, 19139])).
% 38.92/25.36 tff(19149,plain,
% 38.92/25.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB163, bitIndex0) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex2)) | v172(constB163))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB163, bitIndex0) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex2)) | v172(constB163))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19150,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB163, bitIndex0) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex2)) | v172(constB163))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19151,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB163, bitIndex0) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex2)) | v172(constB163)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19150, 19149])).
% 38.92/25.36 tff(19152,plain,
% 38.92/25.36 (v172(constB163)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19151, 710, 19148, 19114, 19080])).
% 38.92/25.36 tff(19153,assumption,(v172(constB163)), introduced(assumption)).
% 38.92/25.36 tff(19154,plain,
% 38.92/25.36 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB163) | (~v172(constB163)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB163) | (~v172(constB163)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19155,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB163) | (~v172(constB163)))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19156,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB163) | (~v172(constB163))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19155, 19154])).
% 38.92/25.36 tff(19157,plain,
% 38.92/25.36 (v109(constB163)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19156, 764, 19153])).
% 38.92/25.36 tff(19158,plain,
% 38.92/25.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB163) | (~v109(constB163)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB163) | (~v109(constB163)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19159,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB163) | (~v109(constB163)))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19160,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB163) | (~v109(constB163))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 38.92/25.36 tff(19161,plain,
% 38.92/25.36 (v108(constB163)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19160, 325, 19157])).
% 38.92/25.36 tff(19162,plain,
% 38.92/25.36 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB163) | (~v108(constB163)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB163) | (~v108(constB163)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19163,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB163) | (~v108(constB163)))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19164,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB163) | (~v108(constB163))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19163, 19162])).
% 38.92/25.36 tff(19165,plain,
% 38.92/25.36 (v107(constB163)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19164, 336, 19161])).
% 38.92/25.36 tff(19166,assumption,(v26(constB163)), introduced(assumption)).
% 38.92/25.36 tff(19167,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19168,plain,
% 38.92/25.36 ($false),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19167, 120, 19166])).
% 38.92/25.36 tff(19169,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 38.92/25.36 tff(19170,plain,
% 38.92/25.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB163) | (~v107(constB163)) | v106(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB163) | (~v107(constB163)) | v106(constB163))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19171,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB163) | (~v107(constB163)) | v106(constB163))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19172,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB163) | (~v107(constB163)) | v106(constB163)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19171, 19170])).
% 38.92/25.36 tff(19173,plain,
% 38.92/25.36 ((~v107(constB163)) | v106(constB163)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19172, 350, 19169])).
% 38.92/25.36 tff(19174,plain,
% 38.92/25.36 (v106(constB163)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19173, 19165])).
% 38.92/25.36 tff(19175,plain,
% 38.92/25.36 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB163) | (~v106(constB163)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB163) | (~v106(constB163)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19176,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB163) | (~v106(constB163)))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19177,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB163) | (~v106(constB163))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19176, 19175])).
% 38.92/25.36 tff(19178,plain,
% 38.92/25.36 (v102(constB163)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19177, 362, 19174])).
% 38.92/25.36 tff(19179,plain,
% 38.92/25.36 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19180,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 38.92/25.36 tff(19181,plain,
% 38.92/25.36 (nextState(constB163, constB164)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19180, 19179])).
% 38.92/25.36 tff(19182,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19183,plain,
% 38.92/25.36 (((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164)) <=> ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19184,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163))))),
% 38.92/25.36 inference(monotonicity,[status(thm)],[19183])).
% 38.92/25.36 tff(19185,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 38.92/25.36 inference(transitivity,[status(thm)],[19184, 19182])).
% 38.92/25.36 tff(19186,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19187,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19186, 19185])).
% 38.92/25.36 tff(19188,plain,
% 38.92/25.36 (v104(constB164) | (~v102(constB163))),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19187, 379, 19181])).
% 38.92/25.36 tff(19189,plain,
% 38.92/25.36 (v104(constB164)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19188, 19178])).
% 38.92/25.36 tff(19190,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19191,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19192,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19191, 19190])).
% 38.92/25.36 tff(19193,plain,
% 38.92/25.36 (~v98(constB164)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19192, 397, 19181, 19056])).
% 38.92/25.36 tff(19194,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19195,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19196,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB163, constB164)) | v96(constB164) | v98(constB164)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 38.92/25.36 tff(19197,plain,
% 38.92/25.36 (v96(constB164) | v98(constB164)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19196, 411, 19181])).
% 38.92/25.36 tff(19198,plain,
% 38.92/25.36 (v96(constB164)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19197, 19193])).
% 38.92/25.36 tff(19199,plain,
% 38.92/25.36 (v1(constB164) <=> v1(constB164)),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19200,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 38.92/25.36 tff(19201,plain,
% 38.92/25.36 (v1(constB164)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19200, 19199])).
% 38.92/25.36 tff(19202,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19203,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19204,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19203, 19202])).
% 38.92/25.36 tff(19205,plain,
% 38.92/25.36 (v95(constB164) | (~v96(constB164))),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19204, 429, 19181, 19201])).
% 38.92/25.36 tff(19206,plain,
% 38.92/25.36 (v95(constB164)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19205, 19198])).
% 38.92/25.36 tff(19207,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19208,plain,
% 38.92/25.36 (((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164)) <=> ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19209,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164))))),
% 38.92/25.36 inference(monotonicity,[status(thm)],[19208])).
% 38.92/25.36 tff(19210,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 38.92/25.36 inference(transitivity,[status(thm)],[19209, 19207])).
% 38.92/25.36 tff(19211,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19212,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19211, 19210])).
% 38.92/25.36 tff(19213,plain,
% 38.92/25.36 (v94(constB164) | (~v95(constB164)) | (~v104(constB164))),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19212, 444, 19181])).
% 38.92/25.36 tff(19214,plain,
% 38.92/25.36 (v94(constB164) | (~v104(constB164))),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19213, 19206])).
% 38.92/25.36 tff(19215,plain,
% 38.92/25.36 (v94(constB164)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19214, 19189])).
% 38.92/25.36 tff(19216,plain,
% 38.92/25.36 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB163)) | v124(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB163)) | v124(constB163, bitIndex2))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19217,plain,
% 38.92/25.36 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB163)) | v124(constB163, bitIndex2))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19218,plain,
% 38.92/25.36 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB163)) | v124(constB163, bitIndex2)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19217, 19216])).
% 38.92/25.36 tff(19219,plain,
% 38.92/25.36 (v124(constB163, bitIndex2)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19218, 724, 19153])).
% 38.92/25.36 tff(19220,plain,
% 38.92/25.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19221,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19222,plain,
% 38.92/25.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19221, 19220])).
% 38.92/25.36 tff(19223,plain,
% 38.92/25.36 ((~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19222, 477, 19169])).
% 38.92/25.36 tff(19224,plain,
% 38.92/25.36 (v121(constB163, bitIndex2)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19223, 19219])).
% 38.92/25.36 tff(19225,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19226,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19227,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19226, 19225])).
% 38.92/25.36 tff(19228,plain,
% 38.92/25.36 ((~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19227, 492, 19181])).
% 38.92/25.36 tff(19229,plain,
% 38.92/25.36 (v123(constB164, bitIndex2)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19228, 19224])).
% 38.92/25.36 tff(19230,plain,
% 38.92/25.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19231,plain,
% 38.92/25.36 ((v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2))) <=> (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19232,plain,
% 38.92/25.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164))))),
% 38.92/25.36 inference(monotonicity,[status(thm)],[19231])).
% 38.92/25.36 tff(19233,plain,
% 38.92/25.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 38.92/25.36 inference(transitivity,[status(thm)],[19232, 19230])).
% 38.92/25.36 tff(19234,plain,
% 38.92/25.36 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19235,plain,
% 38.92/25.36 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 38.92/25.36 tff(19236,plain,
% 38.92/25.36 (v84(constB164, bitIndex2) | (~v94(constB164))),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19235, 507, 19229])).
% 38.92/25.36 tff(19237,plain,
% 38.92/25.36 (v84(constB164, bitIndex2)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19236, 19215])).
% 38.92/25.36 tff(19238,plain,
% 38.92/25.36 ((~v1(constB165)) <=> (~v1(constB165))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19239,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 38.92/25.36 tff(19240,plain,
% 38.92/25.36 (~v1(constB165)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19239, 19238])).
% 38.92/25.36 tff(19241,plain,
% 38.92/25.36 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19242,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 38.92/25.36 tff(19243,plain,
% 38.92/25.36 (nextState(constB164, constB165)),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19242, 19241])).
% 38.92/25.36 tff(19244,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19245,plain,
% 38.92/25.36 (((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 38.92/25.36 inference(rewrite,[status(thm)],[])).
% 38.92/25.36 tff(19246,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165))))),
% 38.92/25.36 inference(monotonicity,[status(thm)],[19245])).
% 38.92/25.36 tff(19247,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 38.92/25.36 inference(transitivity,[status(thm)],[19246, 19244])).
% 38.92/25.36 tff(19248,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))),
% 38.92/25.36 inference(quant_inst,[status(thm)],[])).
% 38.92/25.36 tff(19249,plain,
% 38.92/25.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165))),
% 38.92/25.36 inference(modus_ponens,[status(thm)],[19248, 19247])).
% 38.92/25.36 tff(19250,plain,
% 38.92/25.36 (~v95(constB165)),
% 38.92/25.36 inference(unit_resolution,[status(thm)],[19249, 175, 19243, 19240])).
% 38.92/25.36 tff(19251,plain,
% 38.92/25.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19252,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19253,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19252, 19251])).
% 38.92/25.37 tff(19254,plain,
% 38.92/25.37 (v95(constB165) | (~v94(constB165))),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19253, 192, 19243])).
% 38.92/25.37 tff(19255,plain,
% 38.92/25.37 (~v94(constB165)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19254, 19250])).
% 38.92/25.37 tff(19256,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19257,plain,
% 38.92/25.37 (((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2)) <=> ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19258,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2)))),
% 38.92/25.37 inference(monotonicity,[status(thm)],[19257])).
% 38.92/25.37 tff(19259,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 38.92/25.37 inference(transitivity,[status(thm)],[19258, 19256])).
% 38.92/25.37 tff(19260,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19261,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2)),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19260, 19259])).
% 38.92/25.37 tff(19262,plain,
% 38.92/25.37 ((~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19261, 543, 19243])).
% 38.92/25.37 tff(19263,plain,
% 38.92/25.37 ((~v84(constB164, bitIndex2)) | v84(constB165, bitIndex2)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19262, 19255])).
% 38.92/25.37 tff(19264,plain,
% 38.92/25.37 (v84(constB165, bitIndex2)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19263, 19237])).
% 38.92/25.37 tff(19265,plain,
% 38.92/25.37 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB163)) | v124(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB163)) | v124(constB163, bitIndex1))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19266,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB163)) | v124(constB163, bitIndex1))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19267,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB163)) | v124(constB163, bitIndex1)),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19266, 19265])).
% 38.92/25.37 tff(19268,plain,
% 38.92/25.37 (v124(constB163, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19267, 861, 19153])).
% 38.92/25.37 tff(19269,plain,
% 38.92/25.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB163) | (~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB163) | (~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19270,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB163) | (~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19271,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB163) | (~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1)),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 38.92/25.37 tff(19272,plain,
% 38.92/25.37 ((~v124(constB163, bitIndex1)) | v121(constB163, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19271, 875, 19169])).
% 38.92/25.37 tff(19273,plain,
% 38.92/25.37 (v121(constB163, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19272, 19268])).
% 38.92/25.37 tff(19274,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19275,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19276,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1)),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19275, 19274])).
% 38.92/25.37 tff(19277,plain,
% 38.92/25.37 ((~v121(constB163, bitIndex1)) | v123(constB164, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19276, 890, 19181])).
% 38.92/25.37 tff(19278,plain,
% 38.92/25.37 (v123(constB164, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19277, 19273])).
% 38.92/25.37 tff(19279,plain,
% 38.92/25.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19280,plain,
% 38.92/25.37 ((v84(constB164, bitIndex1) | (~v94(constB164)) | (~v123(constB164, bitIndex1))) <=> (v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19281,plain,
% 38.92/25.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v94(constB164)) | (~v123(constB164, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164))))),
% 38.92/25.37 inference(monotonicity,[status(thm)],[19280])).
% 38.92/25.37 tff(19282,plain,
% 38.92/25.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v94(constB164)) | (~v123(constB164, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164)))),
% 38.92/25.37 inference(transitivity,[status(thm)],[19281, 19279])).
% 38.92/25.37 tff(19283,plain,
% 38.92/25.37 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~v94(constB164)) | (~v123(constB164, bitIndex1)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19284,plain,
% 38.92/25.37 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~v123(constB164, bitIndex1)) | (~v94(constB164))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19283, 19282])).
% 38.92/25.37 tff(19285,plain,
% 38.92/25.37 (v84(constB164, bitIndex1) | (~v94(constB164))),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19284, 905, 19278])).
% 38.92/25.37 tff(19286,plain,
% 38.92/25.37 (v84(constB164, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19285, 19215])).
% 38.92/25.37 tff(19287,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19288,plain,
% 38.92/25.37 (((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1)) <=> ((~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19289,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1)))),
% 38.92/25.37 inference(monotonicity,[status(thm)],[19288])).
% 38.92/25.37 tff(19290,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1))),
% 38.92/25.37 inference(transitivity,[status(thm)],[19289, 19287])).
% 38.92/25.37 tff(19291,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19292,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex1)),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19291, 19290])).
% 38.92/25.37 tff(19293,plain,
% 38.92/25.37 ((~v84(constB164, bitIndex1)) | v94(constB165) | v84(constB165, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19292, 923, 19243])).
% 38.92/25.37 tff(19294,plain,
% 38.92/25.37 ((~v84(constB164, bitIndex1)) | v84(constB165, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19293, 19255])).
% 38.92/25.37 tff(19295,plain,
% 38.92/25.37 (v84(constB165, bitIndex1)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19294, 19286])).
% 38.92/25.37 tff(19296,plain,
% 38.92/25.37 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB163)) | (~v124(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB163)) | (~v124(constB163, bitIndex0)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19297,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB163)) | (~v124(constB163, bitIndex0)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19298,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB163)) | (~v124(constB163, bitIndex0))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19297, 19296])).
% 38.92/25.37 tff(19299,plain,
% 38.92/25.37 (~v124(constB163, bitIndex0)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19298, 942, 19153])).
% 38.92/25.37 tff(19300,plain,
% 38.92/25.37 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19301,plain,
% 38.92/25.37 ((v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0))) <=> ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19302,plain,
% 38.92/25.37 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0)))),
% 38.92/25.37 inference(monotonicity,[status(thm)],[19301])).
% 38.92/25.37 tff(19303,plain,
% 38.92/25.37 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 38.92/25.37 inference(transitivity,[status(thm)],[19302, 19300])).
% 38.92/25.37 tff(19304,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19305,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0)),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19304, 19303])).
% 38.92/25.37 tff(19306,plain,
% 38.92/25.37 ((~v121(constB163, bitIndex0)) | v124(constB163, bitIndex0)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19305, 650, 19169])).
% 38.92/25.37 tff(19307,plain,
% 38.92/25.37 (~v121(constB163, bitIndex0)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19306, 19299])).
% 38.92/25.37 tff(19308,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19309,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19310,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19309, 19308])).
% 38.92/25.37 tff(19311,plain,
% 38.92/25.37 (v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0))),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19310, 668, 19181])).
% 38.92/25.37 tff(19312,plain,
% 38.92/25.37 (~v123(constB164, bitIndex0)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19311, 19307])).
% 38.92/25.37 tff(19313,plain,
% 38.92/25.37 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19314,plain,
% 38.92/25.37 (((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0)) <=> ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19315,plain,
% 38.92/25.37 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164))))),
% 38.92/25.37 inference(monotonicity,[status(thm)],[19314])).
% 38.92/25.37 tff(19316,plain,
% 38.92/25.37 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 38.92/25.37 inference(transitivity,[status(thm)],[19315, 19313])).
% 38.92/25.37 tff(19317,plain,
% 38.92/25.37 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19318,plain,
% 38.92/25.37 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19317, 19316])).
% 38.92/25.37 tff(19319,plain,
% 38.92/25.37 ((~v84(constB164, bitIndex0)) | (~v94(constB164))),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19318, 683, 19312])).
% 38.92/25.37 tff(19320,plain,
% 38.92/25.37 (~v84(constB164, bitIndex0)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19319, 19215])).
% 38.92/25.37 tff(19321,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19322,plain,
% 38.92/25.37 (((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0))) <=> (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19323,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0))))),
% 38.92/25.37 inference(monotonicity,[status(thm)],[19322])).
% 38.92/25.37 tff(19324,plain,
% 38.92/25.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 38.92/25.37 inference(transitivity,[status(thm)],[19323, 19321])).
% 38.92/25.37 tff(19325,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19326,plain,
% 38.92/25.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 38.92/25.37 tff(19327,plain,
% 38.92/25.37 (v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0))),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19326, 249, 19243])).
% 38.92/25.37 tff(19328,plain,
% 38.92/25.37 (v84(constB164, bitIndex0) | (~v84(constB165, bitIndex0))),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19327, 19255])).
% 38.92/25.37 tff(19329,plain,
% 38.92/25.37 (~v84(constB165, bitIndex0)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19328, 19320])).
% 38.92/25.37 tff(19330,plain,
% 38.92/25.37 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB165, bitIndex0) | (~v84(constB165, bitIndex1)) | (~v84(constB165, bitIndex2)) | v119(constB165))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB165, bitIndex0) | (~v84(constB165, bitIndex1)) | (~v84(constB165, bitIndex2)) | v119(constB165))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19331,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB165, bitIndex0) | (~v84(constB165, bitIndex1)) | (~v84(constB165, bitIndex2)) | v119(constB165))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19332,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB165, bitIndex0) | (~v84(constB165, bitIndex1)) | (~v84(constB165, bitIndex2)) | v119(constB165)),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19331, 19330])).
% 38.92/25.37 tff(19333,plain,
% 38.92/25.37 (v119(constB165)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19332, 986, 19329, 19295, 19264])).
% 38.92/25.37 tff(19334,plain,
% 38.92/25.37 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB165) | (~v119(constB165)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB165) | (~v119(constB165)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19335,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB165) | (~v119(constB165)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19336,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB165) | (~v119(constB165))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19335, 19334])).
% 38.92/25.37 tff(19337,plain,
% 38.92/25.37 (v107(constB165)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19336, 997, 19333])).
% 38.92/25.37 tff(19338,assumption,(v26(constB165)), introduced(assumption)).
% 38.92/25.37 tff(19339,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19340,plain,
% 38.92/25.37 ($false),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19339, 120, 19338])).
% 38.92/25.37 tff(19341,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 38.92/25.37 tff(19342,plain,
% 38.92/25.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | (~v107(constB165)) | v106(constB165))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19343,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19344,plain,
% 38.92/25.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | (~v107(constB165)) | v106(constB165)),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19343, 19342])).
% 38.92/25.37 tff(19345,plain,
% 38.92/25.37 ((~v107(constB165)) | v106(constB165)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19344, 350, 19341])).
% 38.92/25.37 tff(19346,plain,
% 38.92/25.37 (v106(constB165)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19345, 19337])).
% 38.92/25.37 tff(19347,plain,
% 38.92/25.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB165, bitIndex2)) | (~v115(constB165)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB165, bitIndex2)) | (~v115(constB165)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19348,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB165, bitIndex2)) | (~v115(constB165)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19349,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB165, bitIndex2)) | (~v115(constB165))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19348, 19347])).
% 38.92/25.37 tff(19350,plain,
% 38.92/25.37 (~v115(constB165)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19349, 1058, 19264])).
% 38.92/25.37 tff(19351,plain,
% 38.92/25.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB165, bitIndex2)) | (~v116(constB165)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB165, bitIndex2)) | (~v116(constB165)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19352,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB165, bitIndex2)) | (~v116(constB165)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19353,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB165, bitIndex2)) | (~v116(constB165))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 38.92/25.37 tff(19354,plain,
% 38.92/25.37 (~v116(constB165)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19353, 1069, 19264])).
% 38.92/25.37 tff(19355,plain,
% 38.92/25.37 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB165)) | (~v84(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB165)) | (~v84(constB165, bitIndex1)))),
% 38.92/25.37 inference(rewrite,[status(thm)],[])).
% 38.92/25.37 tff(19356,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB165)) | (~v84(constB165, bitIndex1)))),
% 38.92/25.37 inference(quant_inst,[status(thm)],[])).
% 38.92/25.37 tff(19357,plain,
% 38.92/25.37 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB165)) | (~v84(constB165, bitIndex1))),
% 38.92/25.37 inference(modus_ponens,[status(thm)],[19356, 19355])).
% 38.92/25.37 tff(19358,plain,
% 38.92/25.37 (~v113(constB165)),
% 38.92/25.37 inference(unit_resolution,[status(thm)],[19357, 1083, 19295])).
% 38.92/25.37 tff(19359,plain,
% 38.92/25.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB165, bitIndex1)) | (~v118(constB165)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB165, bitIndex1)) | (~v118(constB165)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19360,plain,
% 38.92/25.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB165, bitIndex1)) | (~v118(constB165)))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19361,plain,
% 38.92/25.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB165, bitIndex1)) | (~v118(constB165))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19360, 19359])).
% 38.92/25.38 tff(19362,plain,
% 38.92/25.38 (~v118(constB165)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19361, 1094, 19295])).
% 38.92/25.38 tff(19363,plain,
% 38.92/25.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB165, bitIndex1)) | (~v172(constB165)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB165, bitIndex1)) | (~v172(constB165)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19364,plain,
% 38.92/25.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB165, bitIndex1)) | (~v172(constB165)))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19365,plain,
% 38.92/25.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB165, bitIndex1)) | (~v172(constB165))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19364, 19363])).
% 38.92/25.38 tff(19366,plain,
% 38.92/25.38 (~v172(constB165)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19365, 1105, 19295])).
% 38.92/25.38 tff(19367,plain,
% 38.92/25.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB165, bitIndex1)) | (~v145(constB165)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB165, bitIndex1)) | (~v145(constB165)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19368,plain,
% 38.92/25.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB165, bitIndex1)) | (~v145(constB165)))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19369,plain,
% 38.92/25.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB165, bitIndex1)) | (~v145(constB165))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19368, 19367])).
% 38.92/25.38 tff(19370,plain,
% 38.92/25.38 (~v145(constB165)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19369, 1116, 19295])).
% 38.92/25.38 tff(19371,plain,
% 38.92/25.38 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | v124(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | v124(constB165, bitIndex0))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19372,plain,
% 38.92/25.38 ((v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | v124(constB165, bitIndex0)) <=> (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | v124(constB165, bitIndex0))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19373,plain,
% 38.92/25.38 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | v124(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | v124(constB165, bitIndex0)))),
% 38.92/25.38 inference(monotonicity,[status(thm)],[19372])).
% 38.92/25.38 tff(19374,plain,
% 38.92/25.38 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | v124(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | v124(constB165, bitIndex0))),
% 38.92/25.38 inference(transitivity,[status(thm)],[19373, 19371])).
% 38.92/25.38 tff(19375,plain,
% 38.92/25.38 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | v124(constB165, bitIndex0))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19376,plain,
% 38.92/25.38 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | v124(constB165, bitIndex0)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19375, 19374])).
% 38.92/25.38 tff(19377,plain,
% 38.92/25.38 (v124(constB165, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19376, 1272, 19370, 19366, 19362, 19358, 19354, 19350])).
% 38.92/25.38 tff(19378,plain,
% 38.92/25.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19379,plain,
% 38.92/25.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19380,plain,
% 38.92/25.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19379, 19378])).
% 38.92/25.38 tff(19381,plain,
% 38.92/25.38 ((~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19380, 1289, 19341])).
% 38.92/25.38 tff(19382,plain,
% 38.92/25.38 (v121(constB165, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19381, 19377])).
% 38.92/25.38 tff(19383,plain,
% 38.92/25.38 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19384,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 38.92/25.38 tff(19385,plain,
% 38.92/25.38 (nextState(constB165, constB166)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 38.92/25.38 tff(19386,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19387,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19388,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19387, 19386])).
% 38.92/25.38 tff(19389,plain,
% 38.92/25.38 ((~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19388, 1304, 19385])).
% 38.92/25.38 tff(19390,plain,
% 38.92/25.38 (v123(constB166, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19389, 19382])).
% 38.92/25.38 tff(19391,assumption,(~v84(constB166, bitIndex0)), introduced(assumption)).
% 38.92/25.38 tff(19392,plain,
% 38.92/25.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19393,plain,
% 38.92/25.38 ((v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0))) <=> (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19394,plain,
% 38.92/25.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166))))),
% 38.92/25.38 inference(monotonicity,[status(thm)],[19393])).
% 38.92/25.38 tff(19395,plain,
% 38.92/25.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 38.92/25.38 inference(transitivity,[status(thm)],[19394, 19392])).
% 38.92/25.38 tff(19396,plain,
% 38.92/25.38 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19397,plain,
% 38.92/25.38 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19396, 19395])).
% 38.92/25.38 tff(19398,plain,
% 38.92/25.38 ((~v123(constB166, bitIndex0)) | (~v94(constB166))),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19397, 1319, 19391])).
% 38.92/25.38 tff(19399,plain,
% 38.92/25.38 (~v94(constB166)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19398, 19390])).
% 38.92/25.38 tff(19400,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19401,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19402,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19401, 19400])).
% 38.92/25.38 tff(19403,plain,
% 38.92/25.38 (~v98(constB166)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19402, 397, 19385, 19240])).
% 38.92/25.38 tff(19404,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19405,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19406,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB165, constB166)) | v96(constB166) | v98(constB166)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 38.92/25.38 tff(19407,plain,
% 38.92/25.38 (v96(constB166) | v98(constB166)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19406, 411, 19385])).
% 38.92/25.38 tff(19408,plain,
% 38.92/25.38 (v96(constB166)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19407, 19403])).
% 38.92/25.38 tff(19409,plain,
% 38.92/25.38 (v1(constB166) <=> v1(constB166)),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19410,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 38.92/25.38 tff(19411,plain,
% 38.92/25.38 (v1(constB166)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19410, 19409])).
% 38.92/25.38 tff(19412,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19413,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19414,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19413, 19412])).
% 38.92/25.38 tff(19415,plain,
% 38.92/25.38 (v95(constB166) | (~v96(constB166))),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19414, 429, 19385, 19411])).
% 38.92/25.38 tff(19416,plain,
% 38.92/25.38 (v95(constB166)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19415, 19408])).
% 38.92/25.38 tff(19417,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19418,plain,
% 38.92/25.38 (((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166)) <=> ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19419,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166))))),
% 38.92/25.38 inference(monotonicity,[status(thm)],[19418])).
% 38.92/25.38 tff(19420,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 38.92/25.38 inference(transitivity,[status(thm)],[19419, 19417])).
% 38.92/25.38 tff(19421,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19422,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19421, 19420])).
% 38.92/25.38 tff(19423,plain,
% 38.92/25.38 (v94(constB166) | (~v95(constB166)) | (~v104(constB166))),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19422, 444, 19385])).
% 38.92/25.38 tff(19424,plain,
% 38.92/25.38 (v94(constB166) | (~v104(constB166))),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19423, 19416])).
% 38.92/25.38 tff(19425,plain,
% 38.92/25.38 (~v104(constB166)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19424, 19399])).
% 38.92/25.38 tff(19426,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19427,plain,
% 38.92/25.38 (((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166)) <=> ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19428,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165))))),
% 38.92/25.38 inference(monotonicity,[status(thm)],[19427])).
% 38.92/25.38 tff(19429,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 38.92/25.38 inference(transitivity,[status(thm)],[19428, 19426])).
% 38.92/25.38 tff(19430,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19431,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19430, 19429])).
% 38.92/25.38 tff(19432,plain,
% 38.92/25.38 (v104(constB166) | (~v102(constB165))),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19431, 379, 19385])).
% 38.92/25.38 tff(19433,plain,
% 38.92/25.38 (~v102(constB165)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19432, 19425])).
% 38.92/25.38 tff(19434,plain,
% 38.92/25.38 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB165) | (~v106(constB165)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB165) | (~v106(constB165)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19435,plain,
% 38.92/25.38 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB165) | (~v106(constB165)))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19436,plain,
% 38.92/25.38 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB165) | (~v106(constB165))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 38.92/25.38 tff(19437,plain,
% 38.92/25.38 ($false),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19436, 362, 19433, 19346])).
% 38.92/25.38 tff(19438,plain,((~v172(constB163)) | v84(constB166, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 38.92/25.38 tff(19439,plain,
% 38.92/25.38 (v84(constB166, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19438, 19153])).
% 38.92/25.38 tff(19440,plain,
% 38.92/25.38 ((~v1(constB167)) <=> (~v1(constB167))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19441,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 38.92/25.38 tff(19442,plain,
% 38.92/25.38 (~v1(constB167)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19441, 19440])).
% 38.92/25.38 tff(19443,plain,
% 38.92/25.38 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19444,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 38.92/25.38 tff(19445,plain,
% 38.92/25.38 (nextState(constB166, constB167)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19444, 19443])).
% 38.92/25.38 tff(19446,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19447,plain,
% 38.92/25.38 (((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19448,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167))))),
% 38.92/25.38 inference(monotonicity,[status(thm)],[19447])).
% 38.92/25.38 tff(19449,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 38.92/25.38 inference(transitivity,[status(thm)],[19448, 19446])).
% 38.92/25.38 tff(19450,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19451,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19450, 19449])).
% 38.92/25.38 tff(19452,plain,
% 38.92/25.38 (~v95(constB167)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19451, 175, 19445, 19442])).
% 38.92/25.38 tff(19453,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19454,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19455,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167))),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19454, 19453])).
% 38.92/25.38 tff(19456,plain,
% 38.92/25.38 (v95(constB167) | (~v94(constB167))),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19455, 192, 19445])).
% 38.92/25.38 tff(19457,plain,
% 38.92/25.38 (~v94(constB167)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19456, 19452])).
% 38.92/25.38 tff(19458,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19459,plain,
% 38.92/25.38 (((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0)) <=> ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19460,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0)))),
% 38.92/25.38 inference(monotonicity,[status(thm)],[19459])).
% 38.92/25.38 tff(19461,plain,
% 38.92/25.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 38.92/25.38 inference(transitivity,[status(thm)],[19460, 19458])).
% 38.92/25.38 tff(19462,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))),
% 38.92/25.38 inference(quant_inst,[status(thm)],[])).
% 38.92/25.38 tff(19463,plain,
% 38.92/25.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0)),
% 38.92/25.38 inference(modus_ponens,[status(thm)],[19462, 19461])).
% 38.92/25.38 tff(19464,plain,
% 38.92/25.38 ((~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19463, 1337, 19445])).
% 38.92/25.38 tff(19465,plain,
% 38.92/25.38 ((~v84(constB166, bitIndex0)) | v84(constB167, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19464, 19457])).
% 38.92/25.38 tff(19466,plain,
% 38.92/25.38 (v84(constB167, bitIndex0)),
% 38.92/25.38 inference(unit_resolution,[status(thm)],[19465, 19439])).
% 38.92/25.38 tff(19467,plain,
% 38.92/25.38 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex1)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19468,plain,
% 38.92/25.38 ((v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex1))) <=> (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex1)))),
% 38.92/25.38 inference(rewrite,[status(thm)],[])).
% 38.92/25.38 tff(19469,plain,
% 38.92/25.38 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex1))))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19468])).
% 38.92/25.39 tff(19470,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex1)))),
% 38.92/25.39 inference(transitivity,[status(thm)],[19469, 19467])).
% 38.92/25.39 tff(19471,plain,
% 38.92/25.39 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex1)))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19472,plain,
% 38.92/25.39 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex1))),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19471, 19470])).
% 38.92/25.39 tff(19473,plain,
% 38.92/25.39 (~v124(constB165, bitIndex1)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19472, 1225, 19370, 19366, 19362, 19358, 19354, 19350])).
% 38.92/25.39 tff(19474,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19475,plain,
% 38.92/25.39 ((v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1))) <=> ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19476,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1)))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19475])).
% 38.92/25.39 tff(19477,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 38.92/25.39 inference(transitivity,[status(thm)],[19476, 19474])).
% 38.92/25.39 tff(19478,plain,
% 38.92/25.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19479,plain,
% 38.92/25.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1)),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19478, 19477])).
% 38.92/25.39 tff(19480,plain,
% 38.92/25.39 ((~v121(constB165, bitIndex1)) | v124(constB165, bitIndex1)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19479, 576, 19341])).
% 38.92/25.39 tff(19481,plain,
% 38.92/25.39 (~v121(constB165, bitIndex1)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19480, 19473])).
% 38.92/25.39 tff(19482,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19483,plain,
% 38.92/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19484,plain,
% 38.92/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1))),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19483, 19482])).
% 38.92/25.39 tff(19485,plain,
% 38.92/25.39 (v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1))),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19484, 594, 19385])).
% 38.92/25.39 tff(19486,plain,
% 38.92/25.39 (~v123(constB166, bitIndex1)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19485, 19481])).
% 38.92/25.39 tff(19487,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v94(constB166) | (~v84(constB166, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v94(constB166) | (~v84(constB166, bitIndex0)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19488,plain,
% 38.92/25.39 (((~nextState(constB165, constB166)) | v84(constB165, bitIndex0) | v94(constB166) | (~v84(constB166, bitIndex0))) <=> (v84(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v94(constB166) | (~v84(constB166, bitIndex0)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19489,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB165, constB166)) | v84(constB165, bitIndex0) | v94(constB166) | (~v84(constB166, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v94(constB166) | (~v84(constB166, bitIndex0))))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19488])).
% 38.92/25.39 tff(19490,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB165, constB166)) | v84(constB165, bitIndex0) | v94(constB166) | (~v84(constB166, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v94(constB166) | (~v84(constB166, bitIndex0)))),
% 38.92/25.39 inference(transitivity,[status(thm)],[19489, 19487])).
% 38.92/25.39 tff(19491,plain,
% 38.92/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB165, constB166)) | v84(constB165, bitIndex0) | v94(constB166) | (~v84(constB166, bitIndex0)))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19492,plain,
% 38.92/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB165, bitIndex0) | (~nextState(constB165, constB166)) | v94(constB166) | (~v84(constB166, bitIndex0))),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19491, 19490])).
% 38.92/25.39 tff(19493,plain,
% 38.92/25.39 (v84(constB165, bitIndex0) | v94(constB166) | (~v84(constB166, bitIndex0))),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19492, 249, 19385])).
% 38.92/25.39 tff(19494,plain,
% 38.92/25.39 (v94(constB166)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19493, 19329, 19439])).
% 38.92/25.39 tff(19495,plain,
% 38.92/25.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19496,plain,
% 38.92/25.39 (((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1)) <=> ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19497,plain,
% 38.92/25.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166))))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19496])).
% 38.92/25.39 tff(19498,plain,
% 38.92/25.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 38.92/25.39 inference(transitivity,[status(thm)],[19497, 19495])).
% 38.92/25.39 tff(19499,plain,
% 38.92/25.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19500,plain,
% 38.92/25.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166))),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19499, 19498])).
% 38.92/25.39 tff(19501,plain,
% 38.92/25.39 ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19500, 609, 19494])).
% 38.92/25.39 tff(19502,plain,
% 38.92/25.39 (~v84(constB166, bitIndex1)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19501, 19486])).
% 38.92/25.39 tff(19503,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19504,plain,
% 38.92/25.39 (((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1))) <=> (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19505,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1))))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19504])).
% 38.92/25.39 tff(19506,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 38.92/25.39 inference(transitivity,[status(thm)],[19505, 19503])).
% 38.92/25.39 tff(19507,plain,
% 38.92/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19508,plain,
% 38.92/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1))),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19507, 19506])).
% 38.92/25.39 tff(19509,plain,
% 38.92/25.39 (v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1))),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19508, 228, 19445])).
% 38.92/25.39 tff(19510,plain,
% 38.92/25.39 (v84(constB166, bitIndex1) | (~v84(constB167, bitIndex1))),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19509, 19457])).
% 38.92/25.39 tff(19511,plain,
% 38.92/25.39 (~v84(constB167, bitIndex1)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19510, 19502])).
% 38.92/25.39 tff(19512,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex2)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19513,plain,
% 38.92/25.39 ((v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex2))) <=> (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex2)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19514,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex2))))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19513])).
% 38.92/25.39 tff(19515,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex2)))),
% 38.92/25.39 inference(transitivity,[status(thm)],[19514, 19512])).
% 38.92/25.39 tff(19516,plain,
% 38.92/25.39 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB165) | v145(constB165) | v115(constB165) | v116(constB165) | v172(constB165) | v118(constB165) | (~v124(constB165, bitIndex2)))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19517,plain,
% 38.92/25.39 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB165) | v145(constB165) | v118(constB165) | v115(constB165) | v116(constB165) | v113(constB165) | (~v124(constB165, bitIndex2))),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19516, 19515])).
% 38.92/25.39 tff(19518,plain,
% 38.92/25.39 (~v124(constB165, bitIndex2)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19517, 1130, 19370, 19366, 19362, 19358, 19354, 19350])).
% 38.92/25.39 tff(19519,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19520,plain,
% 38.92/25.39 ((v26(constB165) | v124(constB165, bitIndex2) | (~v121(constB165, bitIndex2))) <=> ((~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19521,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB165) | v124(constB165, bitIndex2) | (~v121(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2)))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19520])).
% 38.92/25.39 tff(19522,plain,
% 38.92/25.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB165) | v124(constB165, bitIndex2) | (~v121(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2))),
% 38.92/25.39 inference(transitivity,[status(thm)],[19521, 19519])).
% 38.92/25.39 tff(19523,plain,
% 38.92/25.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB165) | v124(constB165, bitIndex2) | (~v121(constB165, bitIndex2)))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19524,plain,
% 38.92/25.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB165, bitIndex2)) | v26(constB165) | v124(constB165, bitIndex2)),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19523, 19522])).
% 38.92/25.39 tff(19525,plain,
% 38.92/25.39 ((~v121(constB165, bitIndex2)) | v124(constB165, bitIndex2)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19524, 1147, 19341])).
% 38.92/25.39 tff(19526,plain,
% 38.92/25.39 (~v121(constB165, bitIndex2)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19525, 19518])).
% 38.92/25.39 tff(19527,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19528,plain,
% 38.92/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2)))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19529,plain,
% 38.92/25.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2))),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 38.92/25.39 tff(19530,plain,
% 38.92/25.39 (v121(constB165, bitIndex2) | (~v123(constB166, bitIndex2))),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19529, 1165, 19385])).
% 38.92/25.39 tff(19531,plain,
% 38.92/25.39 (~v123(constB166, bitIndex2)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19530, 19526])).
% 38.92/25.39 tff(19532,plain,
% 38.92/25.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19533,plain,
% 38.92/25.39 (((~v84(constB166, bitIndex2)) | (~v94(constB166)) | v123(constB166, bitIndex2)) <=> ((~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19534,plain,
% 38.92/25.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | (~v94(constB166)) | v123(constB166, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166))))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19533])).
% 38.92/25.39 tff(19535,plain,
% 38.92/25.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | (~v94(constB166)) | v123(constB166, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166)))),
% 38.92/25.39 inference(transitivity,[status(thm)],[19534, 19532])).
% 38.92/25.39 tff(19536,plain,
% 38.92/25.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | (~v94(constB166)) | v123(constB166, bitIndex2))),
% 38.92/25.39 inference(quant_inst,[status(thm)],[])).
% 38.92/25.39 tff(19537,plain,
% 38.92/25.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2) | (~v94(constB166))),
% 38.92/25.39 inference(modus_ponens,[status(thm)],[19536, 19535])).
% 38.92/25.39 tff(19538,plain,
% 38.92/25.39 ((~v84(constB166, bitIndex2)) | v123(constB166, bitIndex2)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19537, 1180, 19494])).
% 38.92/25.39 tff(19539,plain,
% 38.92/25.39 (~v84(constB166, bitIndex2)),
% 38.92/25.39 inference(unit_resolution,[status(thm)],[19538, 19531])).
% 38.92/25.39 tff(19540,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19541,plain,
% 38.92/25.39 (((~nextState(constB166, constB167)) | v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2))) <=> (v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2)))),
% 38.92/25.39 inference(rewrite,[status(thm)],[])).
% 38.92/25.39 tff(19542,plain,
% 38.92/25.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2))))),
% 38.92/25.39 inference(monotonicity,[status(thm)],[19541])).
% 38.92/25.40 tff(19543,plain,
% 38.92/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2)))),
% 38.92/25.40 inference(transitivity,[status(thm)],[19542, 19540])).
% 38.92/25.40 tff(19544,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2)))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19545,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex2))),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19544, 19543])).
% 38.92/25.40 tff(19546,plain,
% 38.92/25.40 (v84(constB166, bitIndex2) | v94(constB167) | (~v84(constB167, bitIndex2))),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19545, 207, 19445])).
% 38.92/25.40 tff(19547,plain,
% 38.92/25.40 (v84(constB166, bitIndex2) | (~v84(constB167, bitIndex2))),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19546, 19457])).
% 38.92/25.40 tff(19548,plain,
% 38.92/25.40 (~v84(constB167, bitIndex2)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19547, 19539])).
% 38.92/25.40 tff(19549,assumption,(~v145(constB167)), introduced(assumption)).
% 38.92/25.40 tff(19550,plain,
% 38.92/25.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | v145(constB167))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | v145(constB167))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19551,plain,
% 38.92/25.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | v145(constB167))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19552,plain,
% 38.92/25.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | v145(constB167)),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 38.92/25.40 tff(19553,plain,
% 38.92/25.40 ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | v84(constB167, bitIndex2)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19552, 1356, 19549])).
% 38.92/25.40 tff(19554,plain,
% 38.92/25.40 ($false),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19553, 19548, 19511, 19466])).
% 38.92/25.40 tff(19555,plain,((~v172(constB163)) | v145(constB167)), inference(lemma,lemma(discharge,[]))).
% 38.92/25.40 tff(19556,plain,
% 38.92/25.40 (v145(constB167)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19555, 19152])).
% 38.92/25.40 tff(19557,assumption,(v145(constB167)), introduced(assumption)).
% 38.92/25.40 tff(19558,plain,
% 38.92/25.40 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB167)) | (~v124(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB167)) | (~v124(constB167, bitIndex0)))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19559,plain,
% 38.92/25.40 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB167)) | (~v124(constB167, bitIndex0)))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19560,plain,
% 38.92/25.40 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB167)) | (~v124(constB167, bitIndex0))),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19559, 19558])).
% 38.92/25.40 tff(19561,plain,
% 38.92/25.40 (~v124(constB167, bitIndex0)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19560, 1554, 19557])).
% 38.92/25.40 tff(19562,assumption,(v26(constB167)), introduced(assumption)).
% 38.92/25.40 tff(19563,plain,
% 38.92/25.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19564,plain,
% 38.92/25.40 ($false),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19563, 120, 19562])).
% 38.92/25.40 tff(19565,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 38.92/25.40 tff(19566,plain,
% 38.92/25.40 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19567,plain,
% 38.92/25.40 ((v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0))) <=> ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19568,plain,
% 38.92/25.40 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0)))),
% 38.92/25.40 inference(monotonicity,[status(thm)],[19567])).
% 38.92/25.40 tff(19569,plain,
% 38.92/25.40 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 38.92/25.40 inference(transitivity,[status(thm)],[19568, 19566])).
% 38.92/25.40 tff(19570,plain,
% 38.92/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19571,plain,
% 38.92/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0)),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19570, 19569])).
% 38.92/25.40 tff(19572,plain,
% 38.92/25.40 ((~v121(constB167, bitIndex0)) | v124(constB167, bitIndex0)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19571, 650, 19565])).
% 38.92/25.40 tff(19573,plain,
% 38.92/25.40 (~v121(constB167, bitIndex0)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19572, 19561])).
% 38.92/25.40 tff(19574,plain,
% 38.92/25.40 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19575,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 38.92/25.40 tff(19576,plain,
% 38.92/25.40 (nextState(constB167, constB168)),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19575, 19574])).
% 38.92/25.40 tff(19577,plain,
% 38.92/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19578,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19579,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0))),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19578, 19577])).
% 38.92/25.40 tff(19580,plain,
% 38.92/25.40 (v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0))),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19579, 668, 19576])).
% 38.92/25.40 tff(19581,plain,
% 38.92/25.40 (~v123(constB168, bitIndex0)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19580, 19573])).
% 38.92/25.40 tff(19582,assumption,(v84(constB168, bitIndex0)), introduced(assumption)).
% 38.92/25.40 tff(19583,plain,
% 38.92/25.40 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19584,plain,
% 38.92/25.40 (((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0)) <=> ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19585,plain,
% 38.92/25.40 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168))))),
% 38.92/25.40 inference(monotonicity,[status(thm)],[19584])).
% 38.92/25.40 tff(19586,plain,
% 38.92/25.40 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 38.92/25.40 inference(transitivity,[status(thm)],[19585, 19583])).
% 38.92/25.40 tff(19587,plain,
% 38.92/25.40 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19588,plain,
% 38.92/25.40 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168))),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19587, 19586])).
% 38.92/25.40 tff(19589,plain,
% 38.92/25.40 (v123(constB168, bitIndex0) | (~v94(constB168))),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19588, 683, 19582])).
% 38.92/25.40 tff(19590,plain,
% 38.92/25.40 (~v94(constB168)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19589, 19581])).
% 38.92/25.40 tff(19591,plain,
% 38.92/25.40 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19592,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19593,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168))),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19592, 19591])).
% 38.92/25.40 tff(19594,plain,
% 38.92/25.40 (~v98(constB168)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19593, 397, 19576, 19442])).
% 38.92/25.40 tff(19595,plain,
% 38.92/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19596,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19597,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB167, constB168)) | v96(constB168) | v98(constB168)),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19596, 19595])).
% 38.92/25.40 tff(19598,plain,
% 38.92/25.40 (v96(constB168) | v98(constB168)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19597, 411, 19576])).
% 38.92/25.40 tff(19599,plain,
% 38.92/25.40 (v96(constB168)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19598, 19594])).
% 38.92/25.40 tff(19600,plain,
% 38.92/25.40 (v1(constB168) <=> v1(constB168)),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19601,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 38.92/25.40 tff(19602,plain,
% 38.92/25.40 (v1(constB168)),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19601, 19600])).
% 38.92/25.40 tff(19603,plain,
% 38.92/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19604,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))),
% 38.92/25.40 inference(quant_inst,[status(thm)],[])).
% 38.92/25.40 tff(19605,plain,
% 38.92/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168))),
% 38.92/25.40 inference(modus_ponens,[status(thm)],[19604, 19603])).
% 38.92/25.40 tff(19606,plain,
% 38.92/25.40 (v95(constB168) | (~v96(constB168))),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19605, 429, 19576, 19602])).
% 38.92/25.40 tff(19607,plain,
% 38.92/25.40 (v95(constB168)),
% 38.92/25.40 inference(unit_resolution,[status(thm)],[19606, 19599])).
% 38.92/25.40 tff(19608,plain,
% 38.92/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19609,plain,
% 38.92/25.40 (((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168)) <=> ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 38.92/25.40 inference(rewrite,[status(thm)],[])).
% 38.92/25.40 tff(19610,plain,
% 38.92/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168))))),
% 38.92/25.40 inference(monotonicity,[status(thm)],[19609])).
% 38.92/25.40 tff(19611,plain,
% 38.92/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 39.01/25.40 inference(transitivity,[status(thm)],[19610, 19608])).
% 39.01/25.40 tff(19612,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19613,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 39.01/25.40 tff(19614,plain,
% 39.01/25.40 (v94(constB168) | (~v95(constB168)) | (~v104(constB168))),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19613, 444, 19576])).
% 39.01/25.40 tff(19615,plain,
% 39.01/25.40 (v94(constB168) | (~v104(constB168))),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19614, 19607])).
% 39.01/25.40 tff(19616,plain,
% 39.01/25.40 (~v104(constB168)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19615, 19590])).
% 39.01/25.40 tff(19617,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19618,plain,
% 39.01/25.40 (((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168)) <=> ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19619,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167))))),
% 39.01/25.40 inference(monotonicity,[status(thm)],[19618])).
% 39.01/25.40 tff(19620,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 39.01/25.40 inference(transitivity,[status(thm)],[19619, 19617])).
% 39.01/25.40 tff(19621,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19622,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 39.01/25.40 tff(19623,plain,
% 39.01/25.40 (v104(constB168) | (~v102(constB167))),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19622, 379, 19576])).
% 39.01/25.40 tff(19624,plain,
% 39.01/25.40 (~v102(constB167)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19623, 19616])).
% 39.01/25.40 tff(19625,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB167) | (~v106(constB167)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB167) | (~v106(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19626,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB167) | (~v106(constB167)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19627,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB167) | (~v106(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19626, 19625])).
% 39.01/25.40 tff(19628,plain,
% 39.01/25.40 (~v106(constB167)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19627, 362, 19624])).
% 39.01/25.40 tff(19629,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | v106(constB167) | (~v107(constB167)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19630,plain,
% 39.01/25.40 ((v26(constB167) | (~v107(constB167)) | v106(constB167)) <=> (v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19631,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | v106(constB167) | (~v107(constB167))))),
% 39.01/25.40 inference(monotonicity,[status(thm)],[19630])).
% 39.01/25.40 tff(19632,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 39.01/25.40 inference(transitivity,[status(thm)],[19631, 19629])).
% 39.01/25.40 tff(19633,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19634,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19633, 19632])).
% 39.01/25.40 tff(19635,plain,
% 39.01/25.40 (v106(constB167) | (~v107(constB167))),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19634, 350, 19565])).
% 39.01/25.40 tff(19636,plain,
% 39.01/25.40 (~v107(constB167)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19635, 19628])).
% 39.01/25.40 tff(19637,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB167) | (~v108(constB167)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB167) | (~v108(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19638,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB167) | (~v108(constB167)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19639,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB167) | (~v108(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19638, 19637])).
% 39.01/25.40 tff(19640,plain,
% 39.01/25.40 (~v108(constB167)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19639, 336, 19636])).
% 39.01/25.40 tff(19641,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB167) | (~v145(constB167)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB167) | (~v145(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19642,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB167) | (~v145(constB167)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19643,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB167) | (~v145(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19642, 19641])).
% 39.01/25.40 tff(19644,plain,
% 39.01/25.40 (v112(constB167)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19643, 1367, 19557])).
% 39.01/25.40 tff(19645,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB167) | (~v112(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19646,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB167) | (~v112(constB167)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19647,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB167) | (~v112(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19646, 19645])).
% 39.01/25.40 tff(19648,plain,
% 39.01/25.40 (v111(constB167)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19647, 292, 19644])).
% 39.01/25.40 tff(19649,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB167) | (~v111(constB167)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB167) | (~v111(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19650,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB167) | (~v111(constB167)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19651,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB167) | (~v111(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19650, 19649])).
% 39.01/25.40 tff(19652,plain,
% 39.01/25.40 (v110(constB167)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19651, 303, 19648])).
% 39.01/25.40 tff(19653,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB167) | (~v110(constB167)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB167) | (~v110(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19654,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB167) | (~v110(constB167)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19655,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB167) | (~v110(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19654, 19653])).
% 39.01/25.40 tff(19656,plain,
% 39.01/25.40 (v109(constB167)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19655, 314, 19652])).
% 39.01/25.40 tff(19657,plain,
% 39.01/25.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB167) | (~v109(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB167) | (~v109(constB167)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19658,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB167) | (~v109(constB167)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19659,plain,
% 39.01/25.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB167) | (~v109(constB167))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19658, 19657])).
% 39.01/25.40 tff(19660,plain,
% 39.01/25.40 ($false),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19659, 325, 19656, 19640])).
% 39.01/25.40 tff(19661,plain,((~v145(constB167)) | (~v84(constB168, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 39.01/25.40 tff(19662,plain,
% 39.01/25.40 (~v84(constB168, bitIndex0)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19661, 19556])).
% 39.01/25.40 tff(19663,plain,
% 39.01/25.40 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19664,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 39.01/25.40 tff(19665,plain,
% 39.01/25.40 (nextState(constB168, constB169)),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19664, 19663])).
% 39.01/25.40 tff(19666,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19667,plain,
% 39.01/25.40 (((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19668,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169))))),
% 39.01/25.40 inference(monotonicity,[status(thm)],[19667])).
% 39.01/25.40 tff(19669,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 39.01/25.40 inference(transitivity,[status(thm)],[19668, 19666])).
% 39.01/25.40 tff(19670,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19671,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 39.01/25.40 tff(19672,plain,
% 39.01/25.40 (~v95(constB169)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19671, 175, 19665, 17684])).
% 39.01/25.40 tff(19673,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19674,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.40 tff(19675,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169))),
% 39.01/25.40 inference(modus_ponens,[status(thm)],[19674, 19673])).
% 39.01/25.40 tff(19676,plain,
% 39.01/25.40 (v95(constB169) | (~v94(constB169))),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19675, 192, 19665])).
% 39.01/25.40 tff(19677,plain,
% 39.01/25.40 (~v94(constB169)),
% 39.01/25.40 inference(unit_resolution,[status(thm)],[19676, 19672])).
% 39.01/25.40 tff(19678,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19679,plain,
% 39.01/25.40 (((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0))) <=> (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 39.01/25.40 inference(rewrite,[status(thm)],[])).
% 39.01/25.40 tff(19680,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0))))),
% 39.01/25.40 inference(monotonicity,[status(thm)],[19679])).
% 39.01/25.40 tff(19681,plain,
% 39.01/25.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 39.01/25.40 inference(transitivity,[status(thm)],[19680, 19678])).
% 39.01/25.40 tff(19682,plain,
% 39.01/25.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 39.01/25.40 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19683,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19682, 19681])).
% 39.01/25.41 tff(19684,plain,
% 39.01/25.41 (v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19683, 249, 19665])).
% 39.01/25.41 tff(19685,plain,
% 39.01/25.41 (v84(constB168, bitIndex0) | (~v84(constB169, bitIndex0))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19684, 19677])).
% 39.01/25.41 tff(19686,plain,
% 39.01/25.41 (~v84(constB169, bitIndex0)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19685, 19662])).
% 39.01/25.41 tff(19687,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB169, bitIndex0) | (~v145(constB169)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB169, bitIndex0) | (~v145(constB169)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19688,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB169, bitIndex0) | (~v145(constB169)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19689,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB169, bitIndex0) | (~v145(constB169))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 39.01/25.41 tff(19690,plain,
% 39.01/25.41 (~v145(constB169)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19689, 2357, 19686])).
% 39.01/25.41 tff(19691,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB169) | (~v144(constB169)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB169) | (~v144(constB169)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19692,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB169) | (~v144(constB169)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19693,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB169) | (~v144(constB169))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19692, 19691])).
% 39.01/25.41 tff(19694,plain,
% 39.01/25.41 (~v144(constB169)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19693, 17003, 19690])).
% 39.01/25.41 tff(19695,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB169) | (~v142(constB169)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19696,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB169) | (~v142(constB169)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19697,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB169) | (~v142(constB169))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 39.01/25.41 tff(19698,plain,
% 39.01/25.41 (~v142(constB169)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19697, 17014, 19694])).
% 39.01/25.41 tff(19699,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB169) | v142(constB169) | (~v135(constB169)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB169) | v142(constB169) | (~v135(constB169)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19700,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB169) | v142(constB169) | (~v135(constB169)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19701,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB169) | v142(constB169) | (~v135(constB169))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 39.01/25.41 tff(19702,plain,
% 39.01/25.41 (v138(constB169) | (~v135(constB169))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19701, 17028, 19698])).
% 39.01/25.41 tff(19703,plain,
% 39.01/25.41 (~v135(constB169)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19702, 17700])).
% 39.01/25.41 tff(19704,plain,
% 39.01/25.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19705,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19706,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19705, 19704])).
% 39.01/25.41 tff(19707,plain,
% 39.01/25.41 (v135(constB169) | (~v137(constB170))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19706, 17043, 17676])).
% 39.01/25.41 tff(19708,plain,
% 39.01/25.41 (~v137(constB170)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19707, 19703])).
% 39.01/25.41 tff(19709,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB170) | (~v138(constB170)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB170) | (~v138(constB170)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19710,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB170) | (~v138(constB170)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19711,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB170) | (~v138(constB170))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19710, 19709])).
% 39.01/25.41 tff(19712,plain,
% 39.01/25.41 (~v138(constB170)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19711, 17055, 19708])).
% 39.01/25.41 tff(19713,plain,
% 39.01/25.41 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB170)) | (~v141(constB170)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB170)) | (~v141(constB170)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19714,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB170)) | (~v141(constB170)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19715,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB170)) | (~v141(constB170))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19714, 19713])).
% 39.01/25.41 tff(19716,plain,
% 39.01/25.41 (~v141(constB170)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19715, 17066, 17660])).
% 39.01/25.41 tff(19717,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB170) | (~v144(constB170)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB170) | (~v144(constB170)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19718,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB170) | (~v144(constB170)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19719,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB170) | (~v144(constB170))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19718, 19717])).
% 39.01/25.41 tff(19720,plain,
% 39.01/25.41 (~v144(constB170)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19719, 17077, 19716])).
% 39.01/25.41 tff(19721,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB170) | (~v142(constB170)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB170) | (~v142(constB170)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19722,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB170) | (~v142(constB170)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19723,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB170) | (~v142(constB170))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19722, 19721])).
% 39.01/25.41 tff(19724,plain,
% 39.01/25.41 (~v142(constB170)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19723, 17014, 19720])).
% 39.01/25.41 tff(19725,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB170) | v142(constB170) | (~v135(constB170)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB170) | v142(constB170) | (~v135(constB170)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19726,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB170) | v142(constB170) | (~v135(constB170)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19727,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB170) | v142(constB170) | (~v135(constB170))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19726, 19725])).
% 39.01/25.41 tff(19728,plain,
% 39.01/25.41 (v138(constB170) | (~v135(constB170))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19727, 17028, 19724])).
% 39.01/25.41 tff(19729,plain,
% 39.01/25.41 (~v135(constB170)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19728, 19712])).
% 39.01/25.41 tff(19730,plain,
% 39.01/25.41 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19731,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 39.01/25.41 tff(19732,plain,
% 39.01/25.41 (nextState(constB170, constB171)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19731, 19730])).
% 39.01/25.41 tff(19733,plain,
% 39.01/25.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19734,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19735,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19734, 19733])).
% 39.01/25.41 tff(19736,plain,
% 39.01/25.41 (v135(constB170) | (~v137(constB171))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19735, 17043, 19732])).
% 39.01/25.41 tff(19737,plain,
% 39.01/25.41 (~v137(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19736, 19729])).
% 39.01/25.41 tff(19738,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB171) | (~v154(constB171)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB171) | (~v154(constB171)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19739,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB171) | (~v154(constB171)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19740,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB171) | (~v154(constB171))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19739, 19738])).
% 39.01/25.41 tff(19741,plain,
% 39.01/25.41 (~v154(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19740, 17105, 19737])).
% 39.01/25.41 tff(19742,assumption,(v18(constB172)), introduced(assumption)).
% 39.01/25.41 tff(19743,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB172))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19744,plain,
% 39.01/25.41 ($false),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19743, 8, 19742])).
% 39.01/25.41 tff(19745,plain,(~v18(constB172)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.41 tff(19746,plain,
% 39.01/25.41 (v1(constB172) <=> v1(constB172)),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19747,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 39.01/25.41 tff(19748,plain,
% 39.01/25.41 (v1(constB172)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19747, 19746])).
% 39.01/25.41 tff(19749,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19750,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19751,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19750, 19749])).
% 39.01/25.41 tff(19752,plain,
% 39.01/25.41 (v22(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19751, 21, 19748])).
% 39.01/25.41 tff(19753,plain,
% 39.01/25.41 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB172)) | (~v22(constB172)) | v18(constB172))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB172)) | (~v22(constB172)) | v18(constB172))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19754,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB172)) | (~v22(constB172)) | v18(constB172))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19755,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB172)) | (~v22(constB172)) | v18(constB172)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19754, 19753])).
% 39.01/25.41 tff(19756,plain,
% 39.01/25.41 ((~v19(constB172)) | v18(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19755, 35, 19752])).
% 39.01/25.41 tff(19757,plain,
% 39.01/25.41 (~v19(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19756, 19745])).
% 39.01/25.41 tff(19758,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19759,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19760,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19759, 19758])).
% 39.01/25.41 tff(19761,plain,
% 39.01/25.41 (v13(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19760, 50, 19757])).
% 39.01/25.41 tff(19762,plain,
% 39.01/25.41 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19763,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 39.01/25.41 tff(19764,plain,
% 39.01/25.41 (nextState(constB171, constB172)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19763, 19762])).
% 39.01/25.41 tff(19765,plain,
% 39.01/25.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19766,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19767,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19766, 19765])).
% 39.01/25.41 tff(19768,plain,
% 39.01/25.41 ((~v13(constB172)) | v9(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19767, 67, 19764])).
% 39.01/25.41 tff(19769,plain,
% 39.01/25.41 (v9(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19768, 19761])).
% 39.01/25.41 tff(19770,plain,
% 39.01/25.41 ((~v1(constB171)) <=> (~v1(constB171))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19771,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 39.01/25.41 tff(19772,plain,
% 39.01/25.41 (~v1(constB171)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19771, 19770])).
% 39.01/25.41 tff(19773,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v141(constB171))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB171) | (~v9(constB171)) | v141(constB171))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19774,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v141(constB171))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19775,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB171) | (~v9(constB171)) | v141(constB171)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19774, 19773])).
% 39.01/25.41 tff(19776,plain,
% 39.01/25.41 ((~v9(constB171)) | v141(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19775, 85, 19772])).
% 39.01/25.41 tff(19777,plain,
% 39.01/25.41 (v141(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19776, 19769])).
% 39.01/25.41 tff(19778,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB171) | (~v141(constB171)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB171) | (~v141(constB171)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19779,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB171) | (~v141(constB171)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19780,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB171) | (~v141(constB171))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19779, 19778])).
% 39.01/25.41 tff(19781,plain,
% 39.01/25.41 (v140(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19780, 97, 19777])).
% 39.01/25.41 tff(19782,plain,
% 39.01/25.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB171)) | (~v153(constB171)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB171)) | (~v153(constB171)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19783,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB171)) | (~v153(constB171)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19784,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB171)) | (~v153(constB171))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19783, 19782])).
% 39.01/25.41 tff(19785,plain,
% 39.01/25.41 (~v153(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19784, 17156, 19781])).
% 39.01/25.41 tff(19786,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB171) | v154(constB171) | (~v150(constB171)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB171) | v154(constB171) | (~v150(constB171)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19787,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB171) | v154(constB171) | (~v150(constB171)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19788,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB171) | v154(constB171) | (~v150(constB171))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19787, 19786])).
% 39.01/25.41 tff(19789,plain,
% 39.01/25.41 (v154(constB171) | (~v150(constB171))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19788, 17170, 19785])).
% 39.01/25.41 tff(19790,plain,
% 39.01/25.41 (~v150(constB171)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19789, 19741])).
% 39.01/25.41 tff(19791,plain,
% 39.01/25.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19792,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19793,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19792, 19791])).
% 39.01/25.41 tff(19794,plain,
% 39.01/25.41 (v150(constB171) | (~v152(constB172))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19793, 17185, 19764])).
% 39.01/25.41 tff(19795,plain,
% 39.01/25.41 (~v152(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19794, 19790])).
% 39.01/25.41 tff(19796,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB172) | (~v153(constB172)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB172) | (~v153(constB172)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19797,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB172) | (~v153(constB172)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19798,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB172) | (~v153(constB172))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19797, 19796])).
% 39.01/25.41 tff(19799,plain,
% 39.01/25.41 (~v153(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19798, 17197, 19795])).
% 39.01/25.41 tff(19800,plain,
% 39.01/25.41 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB172)) | (~v141(constB172)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB172)) | (~v141(constB172)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19801,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB172)) | (~v141(constB172)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19802,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB172)) | (~v141(constB172))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19801, 19800])).
% 39.01/25.41 tff(19803,plain,
% 39.01/25.41 (~v141(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19802, 17066, 19748])).
% 39.01/25.41 tff(19804,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB172) | (~v155(constB172)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB172) | (~v155(constB172)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19805,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB172) | (~v155(constB172)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19806,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB172) | (~v155(constB172))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19805, 19804])).
% 39.01/25.41 tff(19807,plain,
% 39.01/25.41 (~v155(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19806, 17212, 19803])).
% 39.01/25.41 tff(19808,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB172) | (~v154(constB172)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB172) | (~v154(constB172)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19809,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB172) | (~v154(constB172)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19810,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB172) | (~v154(constB172))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19809, 19808])).
% 39.01/25.41 tff(19811,plain,
% 39.01/25.41 (~v154(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19810, 17223, 19807])).
% 39.01/25.41 tff(19812,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB172) | v154(constB172) | (~v150(constB172)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB172) | v154(constB172) | (~v150(constB172)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19813,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB172) | v154(constB172) | (~v150(constB172)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19814,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB172) | v154(constB172) | (~v150(constB172))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19813, 19812])).
% 39.01/25.41 tff(19815,plain,
% 39.01/25.41 (v153(constB172) | (~v150(constB172))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19814, 17170, 19811])).
% 39.01/25.41 tff(19816,plain,
% 39.01/25.41 (~v150(constB172)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19815, 19799])).
% 39.01/25.41 tff(19817,plain,
% 39.01/25.41 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19818,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 39.01/25.41 tff(19819,plain,
% 39.01/25.41 (nextState(constB172, constB173)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19818, 19817])).
% 39.01/25.41 tff(19820,plain,
% 39.01/25.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19821,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19822,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 39.01/25.41 tff(19823,plain,
% 39.01/25.41 (v150(constB172) | (~v152(constB173))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19822, 17185, 19819])).
% 39.01/25.41 tff(19824,plain,
% 39.01/25.41 (~v152(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19823, 19816])).
% 39.01/25.41 tff(19825,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB173) | (~v164(constB173)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB173) | (~v164(constB173)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19826,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB173) | (~v164(constB173)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19827,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB173) | (~v164(constB173))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19826, 19825])).
% 39.01/25.41 tff(19828,plain,
% 39.01/25.41 (~v164(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19827, 17247, 19824])).
% 39.01/25.41 tff(19829,assumption,(v18(constB174)), introduced(assumption)).
% 39.01/25.41 tff(19830,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB174))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19831,plain,
% 39.01/25.41 ($false),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19830, 8, 19829])).
% 39.01/25.41 tff(19832,plain,(~v18(constB174)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.41 tff(19833,plain,
% 39.01/25.41 (v1(constB174) <=> v1(constB174)),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19834,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 39.01/25.41 tff(19835,plain,
% 39.01/25.41 (v1(constB174)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19834, 19833])).
% 39.01/25.41 tff(19836,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19837,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19838,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19837, 19836])).
% 39.01/25.41 tff(19839,plain,
% 39.01/25.41 (v22(constB174)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19838, 21, 19835])).
% 39.01/25.41 tff(19840,plain,
% 39.01/25.41 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB174)) | (~v22(constB174)) | v18(constB174))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB174)) | (~v22(constB174)) | v18(constB174))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19841,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB174)) | (~v22(constB174)) | v18(constB174))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19842,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB174)) | (~v22(constB174)) | v18(constB174)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 39.01/25.41 tff(19843,plain,
% 39.01/25.41 ((~v19(constB174)) | v18(constB174)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19842, 35, 19839])).
% 39.01/25.41 tff(19844,plain,
% 39.01/25.41 (~v19(constB174)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19843, 19832])).
% 39.01/25.41 tff(19845,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19846,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19847,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 39.01/25.41 tff(19848,plain,
% 39.01/25.41 (v13(constB174)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19847, 50, 19844])).
% 39.01/25.41 tff(19849,plain,
% 39.01/25.41 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19850,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 39.01/25.41 tff(19851,plain,
% 39.01/25.41 (nextState(constB173, constB174)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19850, 19849])).
% 39.01/25.41 tff(19852,plain,
% 39.01/25.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19853,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19854,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB173, constB174)) | (~v13(constB174)) | v9(constB173)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19853, 19852])).
% 39.01/25.41 tff(19855,plain,
% 39.01/25.41 ((~v13(constB174)) | v9(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19854, 67, 19851])).
% 39.01/25.41 tff(19856,plain,
% 39.01/25.41 (v9(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19855, 19848])).
% 39.01/25.41 tff(19857,plain,
% 39.01/25.41 ((~v1(constB173)) <=> (~v1(constB173))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19858,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 39.01/25.41 tff(19859,plain,
% 39.01/25.41 (~v1(constB173)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19858, 19857])).
% 39.01/25.41 tff(19860,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v141(constB173))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB173) | (~v9(constB173)) | v141(constB173))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19861,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v141(constB173))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19862,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB173) | (~v9(constB173)) | v141(constB173)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19861, 19860])).
% 39.01/25.41 tff(19863,plain,
% 39.01/25.41 ((~v9(constB173)) | v141(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19862, 85, 19859])).
% 39.01/25.41 tff(19864,plain,
% 39.01/25.41 (v141(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19863, 19856])).
% 39.01/25.41 tff(19865,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB173) | (~v141(constB173)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB173) | (~v141(constB173)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19866,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB173) | (~v141(constB173)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19867,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB173) | (~v141(constB173))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19866, 19865])).
% 39.01/25.41 tff(19868,plain,
% 39.01/25.41 (v140(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19867, 97, 19864])).
% 39.01/25.41 tff(19869,plain,
% 39.01/25.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB173)) | (~v163(constB173)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB173)) | (~v163(constB173)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19870,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB173)) | (~v163(constB173)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19871,plain,
% 39.01/25.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB173)) | (~v163(constB173))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19870, 19869])).
% 39.01/25.41 tff(19872,plain,
% 39.01/25.41 (~v163(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19871, 17298, 19868])).
% 39.01/25.41 tff(19873,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB173)) | v164(constB173) | v163(constB173))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB173)) | v164(constB173) | v163(constB173))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19874,plain,
% 39.01/25.41 ((v164(constB173) | v163(constB173) | (~v160(constB173))) <=> ((~v160(constB173)) | v164(constB173) | v163(constB173))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19875,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB173) | v163(constB173) | (~v160(constB173)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB173)) | v164(constB173) | v163(constB173)))),
% 39.01/25.41 inference(monotonicity,[status(thm)],[19874])).
% 39.01/25.41 tff(19876,plain,
% 39.01/25.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB173) | v163(constB173) | (~v160(constB173)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB173)) | v164(constB173) | v163(constB173))),
% 39.01/25.41 inference(transitivity,[status(thm)],[19875, 19873])).
% 39.01/25.41 tff(19877,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB173) | v163(constB173) | (~v160(constB173)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19878,plain,
% 39.01/25.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB173)) | v164(constB173) | v163(constB173)),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19877, 19876])).
% 39.01/25.41 tff(19879,plain,
% 39.01/25.41 ((~v160(constB173)) | v164(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19878, 17312, 19872])).
% 39.01/25.41 tff(19880,plain,
% 39.01/25.41 (~v160(constB173)),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19879, 19828])).
% 39.01/25.41 tff(19881,plain,
% 39.01/25.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))),
% 39.01/25.41 inference(rewrite,[status(thm)],[])).
% 39.01/25.41 tff(19882,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))),
% 39.01/25.41 inference(quant_inst,[status(thm)],[])).
% 39.01/25.41 tff(19883,plain,
% 39.01/25.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174))),
% 39.01/25.41 inference(modus_ponens,[status(thm)],[19882, 19881])).
% 39.01/25.41 tff(19884,plain,
% 39.01/25.41 (v160(constB173) | (~v162(constB174))),
% 39.01/25.41 inference(unit_resolution,[status(thm)],[19883, 17330, 19851])).
% 39.01/25.42 tff(19885,plain,
% 39.01/25.42 (~v162(constB174)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19884, 19880])).
% 39.01/25.42 tff(19886,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB174) | (~v163(constB174)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB174) | (~v163(constB174)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19887,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB174) | (~v163(constB174)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19888,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB174) | (~v163(constB174))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19887, 19886])).
% 39.01/25.42 tff(19889,plain,
% 39.01/25.42 (~v163(constB174)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19888, 17342, 19885])).
% 39.01/25.42 tff(19890,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB174)) | (~v141(constB174)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB174)) | (~v141(constB174)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19891,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB174)) | (~v141(constB174)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19892,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB174)) | (~v141(constB174))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19891, 19890])).
% 39.01/25.42 tff(19893,plain,
% 39.01/25.42 (~v141(constB174)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19892, 17066, 19835])).
% 39.01/25.42 tff(19894,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB174) | (~v155(constB174)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB174) | (~v155(constB174)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19895,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB174) | (~v155(constB174)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19896,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB174) | (~v155(constB174))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19895, 19894])).
% 39.01/25.42 tff(19897,plain,
% 39.01/25.42 (~v155(constB174)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19896, 17212, 19893])).
% 39.01/25.42 tff(19898,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB174) | (~v164(constB174)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB174) | (~v164(constB174)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19899,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB174) | (~v164(constB174)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19900,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB174) | (~v164(constB174))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19899, 19898])).
% 39.01/25.42 tff(19901,plain,
% 39.01/25.42 (~v164(constB174)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19900, 17361, 19897])).
% 39.01/25.42 tff(19902,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB174)) | v164(constB174) | v163(constB174))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB174)) | v164(constB174) | v163(constB174))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19903,plain,
% 39.01/25.42 ((v164(constB174) | v163(constB174) | (~v160(constB174))) <=> ((~v160(constB174)) | v164(constB174) | v163(constB174))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19904,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB174) | v163(constB174) | (~v160(constB174)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB174)) | v164(constB174) | v163(constB174)))),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19903])).
% 39.01/25.42 tff(19905,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB174) | v163(constB174) | (~v160(constB174)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB174)) | v164(constB174) | v163(constB174))),
% 39.01/25.42 inference(transitivity,[status(thm)],[19904, 19902])).
% 39.01/25.42 tff(19906,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB174) | v163(constB174) | (~v160(constB174)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19907,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB174)) | v164(constB174) | v163(constB174)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19906, 19905])).
% 39.01/25.42 tff(19908,plain,
% 39.01/25.42 ((~v160(constB174)) | v163(constB174)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19907, 17312, 19901])).
% 39.01/25.42 tff(19909,plain,
% 39.01/25.42 (~v160(constB174)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19908, 19889])).
% 39.01/25.42 tff(19910,plain,
% 39.01/25.42 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19911,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 39.01/25.42 tff(19912,plain,
% 39.01/25.42 (nextState(constB174, constB175)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19911, 19910])).
% 39.01/25.42 tff(19913,plain,
% 39.01/25.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19914,plain,
% 39.01/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19915,plain,
% 39.01/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 39.01/25.42 tff(19916,plain,
% 39.01/25.42 (v160(constB174) | (~v162(constB175))),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19915, 17330, 19912])).
% 39.01/25.42 tff(19917,plain,
% 39.01/25.42 (~v162(constB175)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19916, 19909])).
% 39.01/25.42 tff(19918,assumption,(constB175 = sK0_VarCurr), introduced(assumption)).
% 39.01/25.42 tff(19919,plain,
% 39.01/25.42 (v162(constB175) <=> v162(sK0_VarCurr)),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19918])).
% 39.01/25.42 tff(19920,plain,
% 39.01/25.42 (v162(sK0_VarCurr) <=> v162(constB175)),
% 39.01/25.42 inference(symmetry,[status(thm)],[19919])).
% 39.01/25.42 tff(19921,plain,
% 39.01/25.42 (v162(constB175)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[17398, 19920])).
% 39.01/25.42 tff(19922,assumption,(~v162(constB175)), introduced(assumption)).
% 39.01/25.42 tff(19923,plain,
% 39.01/25.42 ($false),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19922, 19921])).
% 39.01/25.42 tff(19924,plain,((~(constB175 = sK0_VarCurr)) | v162(constB175)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.42 tff(19925,plain,
% 39.01/25.42 (~(constB175 = sK0_VarCurr)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19924, 19917])).
% 39.01/25.42 tff(19926,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 39.01/25.42 tff(19927,plain,
% 39.01/25.42 (v172(constB143) <=> v172(sK0_VarCurr)),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19926])).
% 39.01/25.42 tff(19928,plain,
% 39.01/25.42 (v172(sK0_VarCurr) <=> v172(constB143)),
% 39.01/25.42 inference(symmetry,[status(thm)],[19927])).
% 39.01/25.42 tff(19929,plain,
% 39.01/25.42 ((~v172(sK0_VarCurr)) <=> (~v172(constB143))),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19928])).
% 39.01/25.42 tff(19930,plain,
% 39.01/25.42 (^[VarCurr: $i] : refl((v169(VarCurr) | (~v168(VarCurr))) <=> (v169(VarCurr) | (~v168(VarCurr))))),
% 39.01/25.42 inference(bind,[status(th)],[])).
% 39.01/25.42 tff(19931,plain,
% 39.01/25.42 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 39.01/25.42 inference(quant_intro,[status(thm)],[19930])).
% 39.01/25.42 tff(19932,plain,
% 39.01/25.42 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19933,axiom,(![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1_1')).
% 39.01/25.42 tff(19934,plain,
% 39.01/25.42 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 39.01/25.42 tff(19935,plain,(
% 39.01/25.42 ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 39.01/25.42 inference(skolemize,[status(sab)],[19934])).
% 39.01/25.42 tff(19936,plain,
% 39.01/25.42 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19935, 19931])).
% 39.01/25.42 tff(19937,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19938,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19939,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19938, 19937])).
% 39.01/25.42 tff(19940,plain,
% 39.01/25.42 (v169(sK0_VarCurr)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19939, 19936, 17387])).
% 39.01/25.42 tff(19941,plain,
% 39.01/25.42 (^[VarCurr: $i] : refl((v170(VarCurr) | (~v169(VarCurr))) <=> (v170(VarCurr) | (~v169(VarCurr))))),
% 39.01/25.42 inference(bind,[status(th)],[])).
% 39.01/25.42 tff(19942,plain,
% 39.01/25.42 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 39.01/25.42 inference(quant_intro,[status(thm)],[19941])).
% 39.01/25.42 tff(19943,plain,
% 39.01/25.42 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19944,axiom,(![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_1_1')).
% 39.01/25.42 tff(19945,plain,
% 39.01/25.42 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19944, 19943])).
% 39.01/25.42 tff(19946,plain,(
% 39.01/25.42 ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 39.01/25.42 inference(skolemize,[status(sab)],[19945])).
% 39.01/25.42 tff(19947,plain,
% 39.01/25.42 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19946, 19942])).
% 39.01/25.42 tff(19948,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19949,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19950,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19949, 19948])).
% 39.01/25.42 tff(19951,plain,
% 39.01/25.42 (v170(sK0_VarCurr)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19950, 19947, 19940])).
% 39.01/25.42 tff(19952,plain,
% 39.01/25.42 (^[VarCurr: $i] : refl(((~v172(VarCurr)) | (~v170(VarCurr))) <=> ((~v172(VarCurr)) | (~v170(VarCurr))))),
% 39.01/25.42 inference(bind,[status(th)],[])).
% 39.01/25.42 tff(19953,plain,
% 39.01/25.42 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 39.01/25.42 inference(quant_intro,[status(thm)],[19952])).
% 39.01/25.42 tff(19954,plain,
% 39.01/25.42 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19955,axiom,(![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_1_1_1')).
% 39.01/25.42 tff(19956,plain,
% 39.01/25.42 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19955, 19954])).
% 39.01/25.42 tff(19957,plain,(
% 39.01/25.42 ![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 39.01/25.42 inference(skolemize,[status(sab)],[19956])).
% 39.01/25.42 tff(19958,plain,
% 39.01/25.42 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19957, 19953])).
% 39.01/25.42 tff(19959,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | (~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19960,plain,
% 39.01/25.42 (((~v172(sK0_VarCurr)) | (~v170(sK0_VarCurr))) <=> ((~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19961,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v172(sK0_VarCurr)) | (~v170(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr))))),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19960])).
% 39.01/25.42 tff(19962,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v172(sK0_VarCurr)) | (~v170(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | (~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))),
% 39.01/25.42 inference(transitivity,[status(thm)],[19961, 19959])).
% 39.01/25.42 tff(19963,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v172(sK0_VarCurr)) | (~v170(sK0_VarCurr)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19964,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | (~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19963, 19962])).
% 39.01/25.42 tff(19965,plain,
% 39.01/25.42 (~v172(sK0_VarCurr)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19964, 19958, 19951])).
% 39.01/25.42 tff(19966,plain,
% 39.01/25.42 (~v172(constB143)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19965, 19929])).
% 39.01/25.42 tff(19967,plain,
% 39.01/25.42 ($false),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[16478, 19966])).
% 39.01/25.42 tff(19968,plain,(~(constB143 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.42 tff(19969,assumption,(constB93 = sK0_VarCurr), introduced(assumption)).
% 39.01/25.42 tff(19970,plain,
% 39.01/25.42 (v172(constB93) <=> v172(sK0_VarCurr)),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19969])).
% 39.01/25.42 tff(19971,plain,
% 39.01/25.42 (v172(sK0_VarCurr) <=> v172(constB93)),
% 39.01/25.42 inference(symmetry,[status(thm)],[19970])).
% 39.01/25.42 tff(19972,plain,
% 39.01/25.42 ((~v172(sK0_VarCurr)) <=> (~v172(constB93))),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19971])).
% 39.01/25.42 tff(19973,plain,
% 39.01/25.42 (~v172(constB93)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19965, 19972])).
% 39.01/25.42 tff(19974,plain,
% 39.01/25.42 ($false),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[11311, 19973])).
% 39.01/25.42 tff(19975,plain,(~(constB93 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.42 tff(19976,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 39.01/25.42 tff(19977,plain,
% 39.01/25.42 (v172(constB63) <=> v172(sK0_VarCurr)),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19976])).
% 39.01/25.42 tff(19978,plain,
% 39.01/25.42 (v172(sK0_VarCurr) <=> v172(constB63)),
% 39.01/25.42 inference(symmetry,[status(thm)],[19977])).
% 39.01/25.42 tff(19979,plain,
% 39.01/25.42 ((~v172(sK0_VarCurr)) <=> (~v172(constB63))),
% 39.01/25.42 inference(monotonicity,[status(thm)],[19978])).
% 39.01/25.42 tff(19980,plain,
% 39.01/25.42 (~v172(constB63)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19965, 19979])).
% 39.01/25.42 tff(19981,plain,
% 39.01/25.42 ($false),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[7781, 19980])).
% 39.01/25.42 tff(19982,plain,(~(constB63 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.42 tff(19983,assumption,(v18(constB32)), introduced(assumption)).
% 39.01/25.42 tff(19984,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB32))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19985,plain,
% 39.01/25.42 ($false),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19984, 8, 19983])).
% 39.01/25.42 tff(19986,plain,(~v18(constB32)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.42 tff(19987,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19988,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19989,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19988, 19987])).
% 39.01/25.42 tff(19990,plain,
% 39.01/25.42 (v22(constB32)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19989, 21, 4155])).
% 39.01/25.42 tff(19991,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB32)) | (~v22(constB32)) | v18(constB32))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB32)) | (~v22(constB32)) | v18(constB32))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19992,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB32)) | (~v22(constB32)) | v18(constB32))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19993,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB32)) | (~v22(constB32)) | v18(constB32)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19992, 19991])).
% 39.01/25.42 tff(19994,plain,
% 39.01/25.42 ((~v19(constB32)) | v18(constB32)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19993, 35, 19990])).
% 39.01/25.42 tff(19995,plain,
% 39.01/25.42 (~v19(constB32)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19994, 19986])).
% 39.01/25.42 tff(19996,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(19997,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(19998,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[19997, 19996])).
% 39.01/25.42 tff(19999,plain,
% 39.01/25.42 (v13(constB32)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[19998, 50, 19995])).
% 39.01/25.42 tff(20000,plain,
% 39.01/25.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB31, constB32)) | (~v13(constB32)) | v9(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB31, constB32)) | (~v13(constB32)) | v9(constB31))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20001,plain,
% 39.01/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB31, constB32)) | (~v13(constB32)) | v9(constB31))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20002,plain,
% 39.01/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB31, constB32)) | (~v13(constB32)) | v9(constB31)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20001, 20000])).
% 39.01/25.42 tff(20003,plain,
% 39.01/25.42 ((~v13(constB32)) | v9(constB31)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20002, 67, 4135])).
% 39.01/25.42 tff(20004,plain,
% 39.01/25.42 (v9(constB31)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20003, 19999])).
% 39.01/25.42 tff(20005,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v141(constB31))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB31) | (~v9(constB31)) | v141(constB31))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20006,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v141(constB31))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20007,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB31) | (~v9(constB31)) | v141(constB31)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20006, 20005])).
% 39.01/25.42 tff(20008,plain,
% 39.01/25.42 ((~v9(constB31)) | v141(constB31)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20007, 85, 4013])).
% 39.01/25.42 tff(20009,plain,
% 39.01/25.42 (v141(constB31)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20008, 20004])).
% 39.01/25.42 tff(20010,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB31) | (~v141(constB31)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB31) | (~v141(constB31)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20011,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB31) | (~v141(constB31)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20012,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB31) | (~v141(constB31))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20011, 20010])).
% 39.01/25.42 tff(20013,plain,
% 39.01/25.42 (v140(constB31)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20012, 97, 20009])).
% 39.01/25.42 tff(20014,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB31)) | (~v153(constB31)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB31)) | (~v153(constB31)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20015,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB31)) | (~v153(constB31)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20016,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB31)) | (~v153(constB31))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20015, 20014])).
% 39.01/25.42 tff(20017,plain,
% 39.01/25.42 (~v153(constB31)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20016, 17156, 20013])).
% 39.01/25.42 tff(20018,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB29, bitIndex1)) | (~v145(constB29)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB29, bitIndex1)) | (~v145(constB29)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20019,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB29, bitIndex1)) | (~v145(constB29)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20020,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB29, bitIndex1)) | (~v145(constB29))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20019, 20018])).
% 39.01/25.42 tff(20021,plain,
% 39.01/25.42 (~v145(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20020, 1116, 3874])).
% 39.01/25.42 tff(20022,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB29) | (~v144(constB29)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB29) | (~v144(constB29)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20023,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB29) | (~v144(constB29)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20024,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB29) | (~v144(constB29))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20023, 20022])).
% 39.01/25.42 tff(20025,plain,
% 39.01/25.42 (~v144(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20024, 17003, 20021])).
% 39.01/25.42 tff(20026,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB29) | (~v142(constB29)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20027,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB29) | (~v142(constB29)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20028,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB29) | (~v142(constB29))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20027, 20026])).
% 39.01/25.42 tff(20029,plain,
% 39.01/25.42 (~v142(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20028, 17014, 20025])).
% 39.01/25.42 tff(20030,assumption,(v18(constB30)), introduced(assumption)).
% 39.01/25.42 tff(20031,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB30))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20032,plain,
% 39.01/25.42 ($false),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20031, 8, 20030])).
% 39.01/25.42 tff(20033,plain,(~v18(constB30)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.42 tff(20034,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20035,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20036,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20035, 20034])).
% 39.01/25.42 tff(20037,plain,
% 39.01/25.42 (v22(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20036, 21, 3971])).
% 39.01/25.42 tff(20038,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB30)) | (~v22(constB30)) | v18(constB30))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB30)) | (~v22(constB30)) | v18(constB30))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20039,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB30)) | (~v22(constB30)) | v18(constB30))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20040,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB30)) | (~v22(constB30)) | v18(constB30)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20039, 20038])).
% 39.01/25.42 tff(20041,plain,
% 39.01/25.42 ((~v19(constB30)) | v18(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20040, 35, 20037])).
% 39.01/25.42 tff(20042,plain,
% 39.01/25.42 (~v19(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20041, 20033])).
% 39.01/25.42 tff(20043,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20044,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20045,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20044, 20043])).
% 39.01/25.42 tff(20046,plain,
% 39.01/25.42 (v13(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20045, 50, 20042])).
% 39.01/25.42 tff(20047,plain,
% 39.01/25.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20048,plain,
% 39.01/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20049,plain,
% 39.01/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 39.01/25.42 tff(20050,plain,
% 39.01/25.42 ((~v13(constB30)) | v9(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20049, 67, 3951])).
% 39.01/25.42 tff(20051,plain,
% 39.01/25.42 (v9(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20050, 20046])).
% 39.01/25.42 tff(20052,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v141(constB29))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB29) | (~v9(constB29)) | v141(constB29))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20053,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v141(constB29))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20054,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB29) | (~v9(constB29)) | v141(constB29)),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 39.01/25.42 tff(20055,plain,
% 39.01/25.42 ((~v9(constB29)) | v141(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20054, 85, 3819])).
% 39.01/25.42 tff(20056,plain,
% 39.01/25.42 (v141(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20055, 20051])).
% 39.01/25.42 tff(20057,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB29) | (~v141(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB29) | (~v141(constB29)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20058,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB29) | (~v141(constB29)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20059,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB29) | (~v141(constB29))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20058, 20057])).
% 39.01/25.42 tff(20060,plain,
% 39.01/25.42 (v140(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20059, 97, 20056])).
% 39.01/25.42 tff(20061,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB29)) | (~v140(constB29)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB29)) | (~v140(constB29)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20062,plain,
% 39.01/25.42 (((~v140(constB29)) | (~v138(constB29))) <=> ((~v138(constB29)) | (~v140(constB29)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20063,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB29)) | (~v138(constB29)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB29)) | (~v140(constB29))))),
% 39.01/25.42 inference(monotonicity,[status(thm)],[20062])).
% 39.01/25.42 tff(20064,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB29)) | (~v138(constB29)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB29)) | (~v140(constB29)))),
% 39.01/25.42 inference(transitivity,[status(thm)],[20063, 20061])).
% 39.01/25.42 tff(20065,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB29)) | (~v138(constB29)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20066,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB29)) | (~v140(constB29))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20065, 20064])).
% 39.01/25.42 tff(20067,plain,
% 39.01/25.42 (~v138(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20066, 108, 20060])).
% 39.01/25.42 tff(20068,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB29) | v142(constB29) | (~v135(constB29)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB29) | v142(constB29) | (~v135(constB29)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20069,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB29) | v142(constB29) | (~v135(constB29)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20070,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB29) | v142(constB29) | (~v135(constB29))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 39.01/25.42 tff(20071,plain,
% 39.01/25.42 (v142(constB29) | (~v135(constB29))),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20070, 17028, 20067])).
% 39.01/25.42 tff(20072,plain,
% 39.01/25.42 (~v135(constB29)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20071, 20029])).
% 39.01/25.42 tff(20073,plain,
% 39.01/25.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20074,plain,
% 39.01/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20075,plain,
% 39.01/25.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 39.01/25.42 tff(20076,plain,
% 39.01/25.42 (v135(constB29) | (~v137(constB30))),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20075, 17043, 3951])).
% 39.01/25.42 tff(20077,plain,
% 39.01/25.42 (~v137(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20076, 20072])).
% 39.01/25.42 tff(20078,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB30) | (~v138(constB30)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB30) | (~v138(constB30)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20079,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB30) | (~v138(constB30)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20080,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB30) | (~v138(constB30))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20079, 20078])).
% 39.01/25.42 tff(20081,plain,
% 39.01/25.42 (~v138(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20080, 17055, 20077])).
% 39.01/25.42 tff(20082,plain,
% 39.01/25.42 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB30)) | (~v141(constB30)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB30)) | (~v141(constB30)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20083,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB30)) | (~v141(constB30)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20084,plain,
% 39.01/25.42 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB30)) | (~v141(constB30))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20083, 20082])).
% 39.01/25.42 tff(20085,plain,
% 39.01/25.42 (~v141(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20084, 17066, 3971])).
% 39.01/25.42 tff(20086,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB30) | (~v144(constB30)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB30) | (~v144(constB30)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20087,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB30) | (~v144(constB30)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20088,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB30) | (~v144(constB30))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20087, 20086])).
% 39.01/25.42 tff(20089,plain,
% 39.01/25.42 (~v144(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20088, 17077, 20085])).
% 39.01/25.42 tff(20090,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB30) | (~v142(constB30)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB30) | (~v142(constB30)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20091,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB30) | (~v142(constB30)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20092,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB30) | (~v142(constB30))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20091, 20090])).
% 39.01/25.42 tff(20093,plain,
% 39.01/25.42 (~v142(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20092, 17014, 20089])).
% 39.01/25.42 tff(20094,plain,
% 39.01/25.42 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB30) | v142(constB30) | (~v135(constB30)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB30) | v142(constB30) | (~v135(constB30)))),
% 39.01/25.42 inference(rewrite,[status(thm)],[])).
% 39.01/25.42 tff(20095,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB30) | v142(constB30) | (~v135(constB30)))),
% 39.01/25.42 inference(quant_inst,[status(thm)],[])).
% 39.01/25.42 tff(20096,plain,
% 39.01/25.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB30) | v142(constB30) | (~v135(constB30))),
% 39.01/25.42 inference(modus_ponens,[status(thm)],[20095, 20094])).
% 39.01/25.42 tff(20097,plain,
% 39.01/25.42 (v138(constB30) | (~v135(constB30))),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20096, 17028, 20093])).
% 39.01/25.42 tff(20098,plain,
% 39.01/25.42 (~v135(constB30)),
% 39.01/25.42 inference(unit_resolution,[status(thm)],[20097, 20081])).
% 39.01/25.42 tff(20099,plain,
% 39.01/25.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20100,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20101,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20100, 20099])).
% 39.01/25.43 tff(20102,plain,
% 39.01/25.43 (v135(constB30) | (~v137(constB31))),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20101, 17043, 4016])).
% 39.01/25.43 tff(20103,plain,
% 39.01/25.43 (~v137(constB31)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20102, 20098])).
% 39.01/25.43 tff(20104,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB31) | (~v154(constB31)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB31) | (~v154(constB31)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20105,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB31) | (~v154(constB31)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20106,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB31) | (~v154(constB31))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20105, 20104])).
% 39.01/25.43 tff(20107,plain,
% 39.01/25.43 (~v154(constB31)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20106, 17105, 20103])).
% 39.01/25.43 tff(20108,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB31) | v154(constB31) | (~v150(constB31)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB31) | v154(constB31) | (~v150(constB31)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20109,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB31) | v154(constB31) | (~v150(constB31)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20110,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB31) | v154(constB31) | (~v150(constB31))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20109, 20108])).
% 39.01/25.43 tff(20111,plain,
% 39.01/25.43 (v153(constB31) | (~v150(constB31))),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20110, 17170, 20107])).
% 39.01/25.43 tff(20112,plain,
% 39.01/25.43 (~v150(constB31)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20111, 20017])).
% 39.01/25.43 tff(20113,plain,
% 39.01/25.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20114,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20115,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20114, 20113])).
% 39.01/25.43 tff(20116,plain,
% 39.01/25.43 (v150(constB31) | (~v152(constB32))),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20115, 17185, 4135])).
% 39.01/25.43 tff(20117,plain,
% 39.01/25.43 (~v152(constB32)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20116, 20112])).
% 39.01/25.43 tff(20118,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB32) | (~v153(constB32)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB32) | (~v153(constB32)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20119,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB32) | (~v153(constB32)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20120,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB32) | (~v153(constB32))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20119, 20118])).
% 39.01/25.43 tff(20121,plain,
% 39.01/25.43 (~v153(constB32)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20120, 17197, 20117])).
% 39.01/25.43 tff(20122,plain,
% 39.01/25.43 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB32)) | (~v141(constB32)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB32)) | (~v141(constB32)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20123,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB32)) | (~v141(constB32)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20124,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB32)) | (~v141(constB32))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20123, 20122])).
% 39.01/25.43 tff(20125,plain,
% 39.01/25.43 (~v141(constB32)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20124, 17066, 4155])).
% 39.01/25.43 tff(20126,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB32) | (~v155(constB32)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB32) | (~v155(constB32)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20127,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB32) | (~v155(constB32)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20128,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB32) | (~v155(constB32))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20127, 20126])).
% 39.01/25.43 tff(20129,plain,
% 39.01/25.43 (~v155(constB32)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20128, 17212, 20125])).
% 39.01/25.43 tff(20130,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB32) | (~v154(constB32)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB32) | (~v154(constB32)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20131,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB32) | (~v154(constB32)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20132,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB32) | (~v154(constB32))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20131, 20130])).
% 39.01/25.43 tff(20133,plain,
% 39.01/25.43 (~v154(constB32)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20132, 17223, 20129])).
% 39.01/25.43 tff(20134,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB32) | v154(constB32) | (~v150(constB32)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB32) | v154(constB32) | (~v150(constB32)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20135,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB32) | v154(constB32) | (~v150(constB32)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20136,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB32) | v154(constB32) | (~v150(constB32))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20135, 20134])).
% 39.01/25.43 tff(20137,plain,
% 39.01/25.43 (v153(constB32) | (~v150(constB32))),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20136, 17170, 20133])).
% 39.01/25.43 tff(20138,plain,
% 39.01/25.43 (~v150(constB32)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20137, 20121])).
% 39.01/25.43 tff(20139,plain,
% 39.01/25.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20140,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20141,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20140, 20139])).
% 39.01/25.43 tff(20142,plain,
% 39.01/25.43 (v150(constB32) | (~v152(constB33))),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20141, 17185, 4197])).
% 39.01/25.43 tff(20143,plain,
% 39.01/25.43 (~v152(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20142, 20138])).
% 39.01/25.43 tff(20144,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB33) | (~v164(constB33)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB33) | (~v164(constB33)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20145,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB33) | (~v164(constB33)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20146,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB33) | (~v164(constB33))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20145, 20144])).
% 39.01/25.43 tff(20147,plain,
% 39.01/25.43 (~v164(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20146, 17247, 20143])).
% 39.01/25.43 tff(20148,assumption,(v18(constB34)), introduced(assumption)).
% 39.01/25.43 tff(20149,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB34))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20150,plain,
% 39.01/25.43 ($false),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20149, 8, 20148])).
% 39.01/25.43 tff(20151,plain,(~v18(constB34)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.43 tff(20152,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB34) | (~v1(constB34)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB34) | (~v1(constB34)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20153,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB34) | (~v1(constB34)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20154,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB34) | (~v1(constB34))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20153, 20152])).
% 39.01/25.43 tff(20155,plain,
% 39.01/25.43 (v22(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20154, 21, 4341])).
% 39.01/25.43 tff(20156,plain,
% 39.01/25.43 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB34)) | (~v22(constB34)) | v18(constB34))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB34)) | (~v22(constB34)) | v18(constB34))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20157,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB34)) | (~v22(constB34)) | v18(constB34))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20158,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB34)) | (~v22(constB34)) | v18(constB34)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20157, 20156])).
% 39.01/25.43 tff(20159,plain,
% 39.01/25.43 ((~v19(constB34)) | v18(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20158, 35, 20155])).
% 39.01/25.43 tff(20160,plain,
% 39.01/25.43 (~v19(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20159, 20151])).
% 39.01/25.43 tff(20161,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB34) | v19(constB34))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB34) | v19(constB34))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20162,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB34) | v19(constB34))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20163,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB34) | v19(constB34)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20162, 20161])).
% 39.01/25.43 tff(20164,plain,
% 39.01/25.43 (v13(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20163, 50, 20160])).
% 39.01/25.43 tff(20165,plain,
% 39.01/25.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB33, constB34)) | (~v13(constB34)) | v9(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB33, constB34)) | (~v13(constB34)) | v9(constB33))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20166,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB33, constB34)) | (~v13(constB34)) | v9(constB33))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20167,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB33, constB34)) | (~v13(constB34)) | v9(constB33)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20166, 20165])).
% 39.01/25.43 tff(20168,plain,
% 39.01/25.43 ((~v13(constB34)) | v9(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20167, 67, 4321])).
% 39.01/25.43 tff(20169,plain,
% 39.01/25.43 (v9(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20168, 20164])).
% 39.01/25.43 tff(20170,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB33) | (~v9(constB33)) | v141(constB33))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB33) | (~v9(constB33)) | v141(constB33))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20171,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB33) | (~v9(constB33)) | v141(constB33))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20172,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB33) | (~v9(constB33)) | v141(constB33)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 39.01/25.43 tff(20173,plain,
% 39.01/25.43 ((~v9(constB33)) | v141(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20172, 85, 4194])).
% 39.01/25.43 tff(20174,plain,
% 39.01/25.43 (v141(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20173, 20169])).
% 39.01/25.43 tff(20175,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB33) | (~v141(constB33)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB33) | (~v141(constB33)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20176,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB33) | (~v141(constB33)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20177,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB33) | (~v141(constB33))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20176, 20175])).
% 39.01/25.43 tff(20178,plain,
% 39.01/25.43 (v140(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20177, 97, 20174])).
% 39.01/25.43 tff(20179,plain,
% 39.01/25.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB33)) | (~v163(constB33)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB33)) | (~v163(constB33)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20180,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB33)) | (~v163(constB33)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20181,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB33)) | (~v163(constB33))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20180, 20179])).
% 39.01/25.43 tff(20182,plain,
% 39.01/25.43 (~v163(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20181, 17298, 20178])).
% 39.01/25.43 tff(20183,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB33)) | v164(constB33) | v163(constB33))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB33)) | v164(constB33) | v163(constB33))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20184,plain,
% 39.01/25.43 ((v164(constB33) | v163(constB33) | (~v160(constB33))) <=> ((~v160(constB33)) | v164(constB33) | v163(constB33))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20185,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB33) | v163(constB33) | (~v160(constB33)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB33)) | v164(constB33) | v163(constB33)))),
% 39.01/25.43 inference(monotonicity,[status(thm)],[20184])).
% 39.01/25.43 tff(20186,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB33) | v163(constB33) | (~v160(constB33)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB33)) | v164(constB33) | v163(constB33))),
% 39.01/25.43 inference(transitivity,[status(thm)],[20185, 20183])).
% 39.01/25.43 tff(20187,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB33) | v163(constB33) | (~v160(constB33)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20188,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB33)) | v164(constB33) | v163(constB33)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20187, 20186])).
% 39.01/25.43 tff(20189,plain,
% 39.01/25.43 ((~v160(constB33)) | v164(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20188, 17312, 20182])).
% 39.01/25.43 tff(20190,plain,
% 39.01/25.43 (~v160(constB33)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20189, 20147])).
% 39.01/25.43 tff(20191,plain,
% 39.01/25.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20192,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20193,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20192, 20191])).
% 39.01/25.43 tff(20194,plain,
% 39.01/25.43 (v160(constB33) | (~v162(constB34))),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20193, 17330, 4321])).
% 39.01/25.43 tff(20195,plain,
% 39.01/25.43 (~v162(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20194, 20190])).
% 39.01/25.43 tff(20196,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB34) | (~v163(constB34)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB34) | (~v163(constB34)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20197,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB34) | (~v163(constB34)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20198,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB34) | (~v163(constB34))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 39.01/25.43 tff(20199,plain,
% 39.01/25.43 (~v163(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20198, 17342, 20195])).
% 39.01/25.43 tff(20200,plain,
% 39.01/25.43 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB34)) | (~v141(constB34)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB34)) | (~v141(constB34)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20201,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB34)) | (~v141(constB34)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20202,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB34)) | (~v141(constB34))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 39.01/25.43 tff(20203,plain,
% 39.01/25.43 (~v141(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20202, 17066, 4341])).
% 39.01/25.43 tff(20204,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB34) | (~v155(constB34)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB34) | (~v155(constB34)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20205,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB34) | (~v155(constB34)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20206,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB34) | (~v155(constB34))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20205, 20204])).
% 39.01/25.43 tff(20207,plain,
% 39.01/25.43 (~v155(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20206, 17212, 20203])).
% 39.01/25.43 tff(20208,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB34) | (~v164(constB34)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB34) | (~v164(constB34)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20209,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB34) | (~v164(constB34)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20210,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB34) | (~v164(constB34))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 39.01/25.43 tff(20211,plain,
% 39.01/25.43 (~v164(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20210, 17361, 20207])).
% 39.01/25.43 tff(20212,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB34)) | v164(constB34) | v163(constB34))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB34)) | v164(constB34) | v163(constB34))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20213,plain,
% 39.01/25.43 ((v164(constB34) | v163(constB34) | (~v160(constB34))) <=> ((~v160(constB34)) | v164(constB34) | v163(constB34))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20214,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB34) | v163(constB34) | (~v160(constB34)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB34)) | v164(constB34) | v163(constB34)))),
% 39.01/25.43 inference(monotonicity,[status(thm)],[20213])).
% 39.01/25.43 tff(20215,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB34) | v163(constB34) | (~v160(constB34)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB34)) | v164(constB34) | v163(constB34))),
% 39.01/25.43 inference(transitivity,[status(thm)],[20214, 20212])).
% 39.01/25.43 tff(20216,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB34) | v163(constB34) | (~v160(constB34)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20217,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB34)) | v164(constB34) | v163(constB34)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20216, 20215])).
% 39.01/25.43 tff(20218,plain,
% 39.01/25.43 ((~v160(constB34)) | v163(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20217, 17312, 20211])).
% 39.01/25.43 tff(20219,plain,
% 39.01/25.43 (~v160(constB34)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20218, 20199])).
% 39.01/25.43 tff(20220,plain,
% 39.01/25.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20221,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20222,plain,
% 39.01/25.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35))),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20221, 20220])).
% 39.01/25.43 tff(20223,plain,
% 39.01/25.43 (v160(constB34) | (~v162(constB35))),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20222, 17330, 4383])).
% 39.01/25.43 tff(20224,plain,
% 39.01/25.43 (~v162(constB35)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20223, 20219])).
% 39.01/25.43 tff(20225,assumption,(constB35 = sK0_VarCurr), introduced(assumption)).
% 39.01/25.43 tff(20226,plain,
% 39.01/25.43 (v162(constB35) <=> v162(sK0_VarCurr)),
% 39.01/25.43 inference(monotonicity,[status(thm)],[20225])).
% 39.01/25.43 tff(20227,plain,
% 39.01/25.43 (v162(sK0_VarCurr) <=> v162(constB35)),
% 39.01/25.43 inference(symmetry,[status(thm)],[20226])).
% 39.01/25.43 tff(20228,plain,
% 39.01/25.43 (v162(constB35)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[17398, 20227])).
% 39.01/25.43 tff(20229,assumption,(~v162(constB35)), introduced(assumption)).
% 39.01/25.43 tff(20230,plain,
% 39.01/25.43 ($false),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20229, 20228])).
% 39.01/25.43 tff(20231,plain,((~(constB35 = sK0_VarCurr)) | v162(constB35)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.43 tff(20232,plain,
% 39.01/25.43 (~(constB35 = sK0_VarCurr)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20231, 20224])).
% 39.01/25.43 tff(20233,assumption,(constB153 = sK0_VarCurr), introduced(assumption)).
% 39.01/25.43 tff(20234,plain,
% 39.01/25.43 (v172(constB153) <=> v172(sK0_VarCurr)),
% 39.01/25.43 inference(monotonicity,[status(thm)],[20233])).
% 39.01/25.43 tff(20235,plain,
% 39.01/25.43 (v172(sK0_VarCurr) <=> v172(constB153)),
% 39.01/25.43 inference(symmetry,[status(thm)],[20234])).
% 39.01/25.43 tff(20236,plain,
% 39.01/25.43 ((~v172(sK0_VarCurr)) <=> (~v172(constB153))),
% 39.01/25.43 inference(monotonicity,[status(thm)],[20235])).
% 39.01/25.43 tff(20237,plain,
% 39.01/25.43 (~v172(constB153)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[19965, 20236])).
% 39.01/25.43 tff(20238,plain,
% 39.01/25.43 ($false),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[18137, 20237])).
% 39.01/25.43 tff(20239,plain,(~(constB153 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.43 tff(20240,assumption,(constB193 = sK0_VarCurr), introduced(assumption)).
% 39.01/25.43 tff(20241,plain,
% 39.01/25.43 (v172(constB193) <=> v172(sK0_VarCurr)),
% 39.01/25.43 inference(monotonicity,[status(thm)],[20240])).
% 39.01/25.43 tff(20242,plain,
% 39.01/25.43 (v172(sK0_VarCurr) <=> v172(constB193)),
% 39.01/25.43 inference(symmetry,[status(thm)],[20241])).
% 39.01/25.43 tff(20243,plain,
% 39.01/25.43 ((~v172(sK0_VarCurr)) <=> (~v172(constB193))),
% 39.01/25.43 inference(monotonicity,[status(thm)],[20242])).
% 39.01/25.43 tff(20244,plain,
% 39.01/25.43 (~v172(constB193)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[19965, 20243])).
% 39.01/25.43 tff(20245,assumption,(v26(constB189)), introduced(assumption)).
% 39.01/25.43 tff(20246,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20247,plain,
% 39.01/25.43 ($false),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20246, 120, 20245])).
% 39.01/25.43 tff(20248,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.43 tff(20249,plain,
% 39.01/25.43 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB167)) | v124(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB167)) | v124(constB167, bitIndex1))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20250,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB167)) | v124(constB167, bitIndex1))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20251,plain,
% 39.01/25.43 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB167)) | v124(constB167, bitIndex1)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20250, 20249])).
% 39.01/25.43 tff(20252,plain,
% 39.01/25.43 (v124(constB167, bitIndex1)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20251, 1513, 19556])).
% 39.01/25.43 tff(20253,plain,
% 39.01/25.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))),
% 39.01/25.43 inference(rewrite,[status(thm)],[])).
% 39.01/25.43 tff(20254,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))),
% 39.01/25.43 inference(quant_inst,[status(thm)],[])).
% 39.01/25.43 tff(20255,plain,
% 39.01/25.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1)),
% 39.01/25.43 inference(modus_ponens,[status(thm)],[20254, 20253])).
% 39.01/25.43 tff(20256,plain,
% 39.01/25.43 ((~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20255, 875, 19565])).
% 39.01/25.43 tff(20257,plain,
% 39.01/25.43 (v121(constB167, bitIndex1)),
% 39.01/25.43 inference(unit_resolution,[status(thm)],[20256, 20252])).
% 39.01/25.43 tff(20258,plain,
% 39.01/25.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20259,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20260,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1)),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20259, 20258])).
% 39.01/25.44 tff(20261,plain,
% 39.01/25.44 ((~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20260, 890, 19576])).
% 39.01/25.44 tff(20262,plain,
% 39.01/25.44 (v123(constB168, bitIndex1)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20261, 20257])).
% 39.01/25.44 tff(20263,plain,
% 39.01/25.44 (v84(constB166, bitIndex0)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[19438, 19152])).
% 39.01/25.44 tff(20264,plain,
% 39.01/25.44 (v84(constB167, bitIndex0)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[19465, 20263])).
% 39.01/25.44 tff(20265,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v94(constB168) | v84(constB168, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v94(constB168) | v84(constB168, bitIndex0))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20266,plain,
% 39.01/25.44 (((~nextState(constB167, constB168)) | (~v84(constB167, bitIndex0)) | v94(constB168) | v84(constB168, bitIndex0)) <=> ((~v84(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v94(constB168) | v84(constB168, bitIndex0))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20267,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v84(constB167, bitIndex0)) | v94(constB168) | v84(constB168, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v94(constB168) | v84(constB168, bitIndex0)))),
% 39.01/25.44 inference(monotonicity,[status(thm)],[20266])).
% 39.01/25.44 tff(20268,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v84(constB167, bitIndex0)) | v94(constB168) | v84(constB168, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v94(constB168) | v84(constB168, bitIndex0))),
% 39.01/25.44 inference(transitivity,[status(thm)],[20267, 20265])).
% 39.01/25.44 tff(20269,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB167, constB168)) | (~v84(constB167, bitIndex0)) | v94(constB168) | v84(constB168, bitIndex0))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20270,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB167, bitIndex0)) | (~nextState(constB167, constB168)) | v94(constB168) | v84(constB168, bitIndex0)),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20269, 20268])).
% 39.01/25.44 tff(20271,plain,
% 39.01/25.44 ((~v84(constB167, bitIndex0)) | v94(constB168) | v84(constB168, bitIndex0)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20270, 1337, 19576])).
% 39.01/25.44 tff(20272,plain,
% 39.01/25.44 (v94(constB168)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20271, 19662, 20264])).
% 39.01/25.44 tff(20273,plain,
% 39.01/25.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20274,plain,
% 39.01/25.44 ((v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1))) <=> (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20275,plain,
% 39.01/25.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168))))),
% 39.01/25.44 inference(monotonicity,[status(thm)],[20274])).
% 39.01/25.44 tff(20276,plain,
% 39.01/25.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 39.01/25.44 inference(transitivity,[status(thm)],[20275, 20273])).
% 39.01/25.44 tff(20277,plain,
% 39.01/25.44 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20278,plain,
% 39.01/25.44 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20277, 20276])).
% 39.01/25.44 tff(20279,plain,
% 39.01/25.44 (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1))),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20278, 905, 20272])).
% 39.01/25.44 tff(20280,plain,
% 39.01/25.44 (v84(constB168, bitIndex1)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20279, 20262])).
% 39.01/25.44 tff(20281,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20282,plain,
% 39.01/25.44 (((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1)) <=> ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20283,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1)))),
% 39.01/25.44 inference(monotonicity,[status(thm)],[20282])).
% 39.01/25.44 tff(20284,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 39.01/25.44 inference(transitivity,[status(thm)],[20283, 20281])).
% 39.01/25.44 tff(20285,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20286,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1)),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20285, 20284])).
% 39.01/25.44 tff(20287,plain,
% 39.01/25.44 ((~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20286, 923, 19665])).
% 39.01/25.44 tff(20288,plain,
% 39.01/25.44 ((~v84(constB168, bitIndex1)) | v84(constB169, bitIndex1)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20287, 19677])).
% 39.01/25.44 tff(20289,plain,
% 39.01/25.44 (v84(constB169, bitIndex1)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20288, 20280])).
% 39.01/25.44 tff(20290,plain,
% 39.01/25.44 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB167)) | (~v124(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB167)) | (~v124(constB167, bitIndex2)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20291,plain,
% 39.01/25.44 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB167)) | (~v124(constB167, bitIndex2)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20292,plain,
% 39.01/25.44 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB167)) | (~v124(constB167, bitIndex2))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20291, 20290])).
% 39.01/25.44 tff(20293,plain,
% 39.01/25.44 (~v124(constB167, bitIndex2)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20292, 1451, 19556])).
% 39.01/25.44 tff(20294,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20295,plain,
% 39.01/25.44 ((v26(constB167) | v124(constB167, bitIndex2) | (~v121(constB167, bitIndex2))) <=> ((~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20296,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB167) | v124(constB167, bitIndex2) | (~v121(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2)))),
% 39.01/25.44 inference(monotonicity,[status(thm)],[20295])).
% 39.01/25.44 tff(20297,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB167) | v124(constB167, bitIndex2) | (~v121(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2))),
% 39.01/25.44 inference(transitivity,[status(thm)],[20296, 20294])).
% 39.01/25.44 tff(20298,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB167) | v124(constB167, bitIndex2) | (~v121(constB167, bitIndex2)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20299,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB167, bitIndex2)) | v26(constB167) | v124(constB167, bitIndex2)),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20298, 20297])).
% 39.01/25.44 tff(20300,plain,
% 39.01/25.44 ((~v121(constB167, bitIndex2)) | v124(constB167, bitIndex2)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20299, 1147, 19565])).
% 39.01/25.44 tff(20301,plain,
% 39.01/25.44 (~v121(constB167, bitIndex2)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20300, 20293])).
% 39.01/25.44 tff(20302,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20303,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20304,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20303, 20302])).
% 39.01/25.44 tff(20305,plain,
% 39.01/25.44 (v121(constB167, bitIndex2) | (~v123(constB168, bitIndex2))),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20304, 1165, 19576])).
% 39.01/25.44 tff(20306,plain,
% 39.01/25.44 (~v123(constB168, bitIndex2)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20305, 20301])).
% 39.01/25.44 tff(20307,plain,
% 39.01/25.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20308,plain,
% 39.01/25.44 (((~v84(constB168, bitIndex2)) | (~v94(constB168)) | v123(constB168, bitIndex2)) <=> ((~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20309,plain,
% 39.01/25.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | (~v94(constB168)) | v123(constB168, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168))))),
% 39.01/25.44 inference(monotonicity,[status(thm)],[20308])).
% 39.01/25.44 tff(20310,plain,
% 39.01/25.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | (~v94(constB168)) | v123(constB168, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168)))),
% 39.01/25.44 inference(transitivity,[status(thm)],[20309, 20307])).
% 39.01/25.44 tff(20311,plain,
% 39.01/25.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | (~v94(constB168)) | v123(constB168, bitIndex2))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20312,plain,
% 39.01/25.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2) | (~v94(constB168))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20311, 20310])).
% 39.01/25.44 tff(20313,plain,
% 39.01/25.44 ((~v84(constB168, bitIndex2)) | v123(constB168, bitIndex2)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20312, 1180, 20272])).
% 39.01/25.44 tff(20314,plain,
% 39.01/25.44 (~v84(constB168, bitIndex2)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20313, 20306])).
% 39.01/25.44 tff(20315,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20316,plain,
% 39.01/25.44 (((~nextState(constB168, constB169)) | v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2))) <=> (v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20317,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2))))),
% 39.01/25.44 inference(monotonicity,[status(thm)],[20316])).
% 39.01/25.44 tff(20318,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2)))),
% 39.01/25.44 inference(transitivity,[status(thm)],[20317, 20315])).
% 39.01/25.44 tff(20319,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20320,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex2))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20319, 20318])).
% 39.01/25.44 tff(20321,plain,
% 39.01/25.44 (v84(constB168, bitIndex2) | v94(constB169) | (~v84(constB169, bitIndex2))),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20320, 207, 19665])).
% 39.01/25.44 tff(20322,plain,
% 39.01/25.44 (v84(constB168, bitIndex2) | (~v84(constB169, bitIndex2))),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20321, 19677])).
% 39.01/25.44 tff(20323,plain,
% 39.01/25.44 (~v84(constB169, bitIndex2)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20322, 20314])).
% 39.01/25.44 tff(20324,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20325,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20326,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169)),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20325, 20324])).
% 39.01/25.44 tff(20327,plain,
% 39.01/25.44 ((~v84(constB169, bitIndex1)) | v84(constB169, bitIndex2) | v115(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20326, 1598, 19686])).
% 39.01/25.44 tff(20328,plain,
% 39.01/25.44 (v115(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20327, 20323, 20289])).
% 39.01/25.44 tff(20329,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB169) | (~v115(constB169)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20330,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB169) | (~v115(constB169)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20331,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB169) | (~v115(constB169))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20330, 20329])).
% 39.01/25.44 tff(20332,plain,
% 39.01/25.44 (v111(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20331, 1609, 20328])).
% 39.01/25.44 tff(20333,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB169) | (~v111(constB169)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB169) | (~v111(constB169)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20334,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB169) | (~v111(constB169)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20335,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB169) | (~v111(constB169))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 39.01/25.44 tff(20336,plain,
% 39.01/25.44 (v110(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20335, 303, 20332])).
% 39.01/25.44 tff(20337,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB169) | (~v110(constB169)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB169) | (~v110(constB169)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20338,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB169) | (~v110(constB169)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20339,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB169) | (~v110(constB169))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20338, 20337])).
% 39.01/25.44 tff(20340,plain,
% 39.01/25.44 (v109(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20339, 314, 20336])).
% 39.01/25.44 tff(20341,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB169) | (~v109(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB169) | (~v109(constB169)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20342,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB169) | (~v109(constB169)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20343,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB169) | (~v109(constB169))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20342, 20341])).
% 39.01/25.44 tff(20344,plain,
% 39.01/25.44 (v108(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20343, 325, 20340])).
% 39.01/25.44 tff(20345,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB169) | (~v108(constB169)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB169) | (~v108(constB169)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20346,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB169) | (~v108(constB169)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20347,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB169) | (~v108(constB169))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20346, 20345])).
% 39.01/25.44 tff(20348,plain,
% 39.01/25.44 (v107(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20347, 336, 20344])).
% 39.01/25.44 tff(20349,assumption,(v26(constB169)), introduced(assumption)).
% 39.01/25.44 tff(20350,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20351,plain,
% 39.01/25.44 ($false),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20350, 120, 20349])).
% 39.01/25.44 tff(20352,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.44 tff(20353,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB169) | (~v107(constB169)) | v106(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB169) | (~v107(constB169)) | v106(constB169))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20354,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB169) | (~v107(constB169)) | v106(constB169))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20355,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB169) | (~v107(constB169)) | v106(constB169)),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 39.01/25.44 tff(20356,plain,
% 39.01/25.44 ((~v107(constB169)) | v106(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20355, 350, 20352])).
% 39.01/25.44 tff(20357,plain,
% 39.01/25.44 (v106(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20356, 20348])).
% 39.01/25.44 tff(20358,plain,
% 39.01/25.44 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB169) | (~v106(constB169)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB169) | (~v106(constB169)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20359,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB169) | (~v106(constB169)))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20360,plain,
% 39.01/25.44 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB169) | (~v106(constB169))),
% 39.01/25.44 inference(modus_ponens,[status(thm)],[20359, 20358])).
% 39.01/25.44 tff(20361,plain,
% 39.01/25.44 (v102(constB169)),
% 39.01/25.44 inference(unit_resolution,[status(thm)],[20360, 362, 20357])).
% 39.01/25.44 tff(20362,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20363,plain,
% 39.01/25.44 (((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170)) <=> ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 39.01/25.44 inference(rewrite,[status(thm)],[])).
% 39.01/25.44 tff(20364,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169))))),
% 39.01/25.44 inference(monotonicity,[status(thm)],[20363])).
% 39.01/25.44 tff(20365,plain,
% 39.01/25.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 39.01/25.44 inference(transitivity,[status(thm)],[20364, 20362])).
% 39.01/25.44 tff(20366,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))),
% 39.01/25.44 inference(quant_inst,[status(thm)],[])).
% 39.01/25.44 tff(20367,plain,
% 39.01/25.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20366, 20365])).
% 39.01/25.45 tff(20368,plain,
% 39.01/25.45 (v104(constB170) | (~v102(constB169))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20367, 379, 17676])).
% 39.01/25.45 tff(20369,plain,
% 39.01/25.45 (v104(constB170)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20368, 20361])).
% 39.01/25.45 tff(20370,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20371,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20372,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20371, 20370])).
% 39.01/25.45 tff(20373,plain,
% 39.01/25.45 (~v98(constB170)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20372, 397, 17676, 17684])).
% 39.01/25.45 tff(20374,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20375,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20376,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB169, constB170)) | v96(constB170) | v98(constB170)),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20375, 20374])).
% 39.01/25.45 tff(20377,plain,
% 39.01/25.45 (v96(constB170) | v98(constB170)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20376, 411, 17676])).
% 39.01/25.45 tff(20378,plain,
% 39.01/25.45 (v96(constB170)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20377, 20373])).
% 39.01/25.45 tff(20379,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20380,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20381,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20380, 20379])).
% 39.01/25.45 tff(20382,plain,
% 39.01/25.45 (v95(constB170) | (~v96(constB170))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20381, 429, 17676, 17660])).
% 39.01/25.45 tff(20383,plain,
% 39.01/25.45 (v95(constB170)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20382, 20378])).
% 39.01/25.45 tff(20384,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20385,plain,
% 39.01/25.45 (((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170)) <=> ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20386,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170))))),
% 39.01/25.45 inference(monotonicity,[status(thm)],[20385])).
% 39.01/25.45 tff(20387,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 39.01/25.45 inference(transitivity,[status(thm)],[20386, 20384])).
% 39.01/25.45 tff(20388,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20389,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20388, 20387])).
% 39.01/25.45 tff(20390,plain,
% 39.01/25.45 (v94(constB170) | (~v95(constB170)) | (~v104(constB170))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20389, 444, 17676])).
% 39.01/25.45 tff(20391,plain,
% 39.01/25.45 (v94(constB170) | (~v104(constB170))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20390, 20383])).
% 39.01/25.45 tff(20392,plain,
% 39.01/25.45 (v94(constB170)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20391, 20369])).
% 39.01/25.45 tff(20393,plain,
% 39.01/25.45 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB169)) | (~v124(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB169)) | (~v124(constB169, bitIndex2)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20394,plain,
% 39.01/25.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB169)) | (~v124(constB169, bitIndex2)))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20395,plain,
% 39.01/25.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB169)) | (~v124(constB169, bitIndex2))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20394, 20393])).
% 39.01/25.45 tff(20396,plain,
% 39.01/25.45 (~v124(constB169, bitIndex2)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20395, 1688, 20328])).
% 39.01/25.45 tff(20397,plain,
% 39.01/25.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20398,plain,
% 39.01/25.45 ((v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2))) <=> ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20399,plain,
% 39.01/25.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2)))),
% 39.01/25.45 inference(monotonicity,[status(thm)],[20398])).
% 39.01/25.45 tff(20400,plain,
% 39.01/25.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 39.01/25.45 inference(transitivity,[status(thm)],[20399, 20397])).
% 39.01/25.45 tff(20401,plain,
% 39.01/25.45 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20402,plain,
% 39.01/25.45 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2)),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20401, 20400])).
% 39.01/25.45 tff(20403,plain,
% 39.01/25.45 ((~v121(constB169, bitIndex2)) | v124(constB169, bitIndex2)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20402, 1147, 20352])).
% 39.01/25.45 tff(20404,plain,
% 39.01/25.45 (~v121(constB169, bitIndex2)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20403, 20396])).
% 39.01/25.45 tff(20405,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20406,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20407,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20406, 20405])).
% 39.01/25.45 tff(20408,plain,
% 39.01/25.45 (v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20407, 1165, 17676])).
% 39.01/25.45 tff(20409,plain,
% 39.01/25.45 (~v123(constB170, bitIndex2)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20408, 20404])).
% 39.01/25.45 tff(20410,plain,
% 39.01/25.45 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20411,plain,
% 39.01/25.45 (((~v84(constB170, bitIndex2)) | (~v94(constB170)) | v123(constB170, bitIndex2)) <=> ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20412,plain,
% 39.01/25.45 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | (~v94(constB170)) | v123(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170))))),
% 39.01/25.45 inference(monotonicity,[status(thm)],[20411])).
% 39.01/25.45 tff(20413,plain,
% 39.01/25.45 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | (~v94(constB170)) | v123(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 39.01/25.45 inference(transitivity,[status(thm)],[20412, 20410])).
% 39.01/25.45 tff(20414,plain,
% 39.01/25.45 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | (~v94(constB170)) | v123(constB170, bitIndex2))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20415,plain,
% 39.01/25.45 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20414, 20413])).
% 39.01/25.45 tff(20416,plain,
% 39.01/25.45 ((~v84(constB170, bitIndex2)) | (~v94(constB170))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20415, 1180, 20409])).
% 39.01/25.45 tff(20417,plain,
% 39.01/25.45 (~v84(constB170, bitIndex2)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20416, 20392])).
% 39.01/25.45 tff(20418,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20419,plain,
% 39.01/25.45 (((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20420,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171))))),
% 39.01/25.45 inference(monotonicity,[status(thm)],[20419])).
% 39.01/25.45 tff(20421,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 39.01/25.45 inference(transitivity,[status(thm)],[20420, 20418])).
% 39.01/25.45 tff(20422,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20423,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20422, 20421])).
% 39.01/25.45 tff(20424,plain,
% 39.01/25.45 (~v95(constB171)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20423, 175, 19732, 19772])).
% 39.01/25.45 tff(20425,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20426,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20427,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 39.01/25.45 tff(20428,plain,
% 39.01/25.45 (v95(constB171) | (~v94(constB171))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20427, 192, 19732])).
% 39.01/25.45 tff(20429,plain,
% 39.01/25.45 (~v94(constB171)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20428, 20424])).
% 39.01/25.45 tff(20430,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20431,plain,
% 39.01/25.45 (((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2))) <=> (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20432,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2))))),
% 39.01/25.45 inference(monotonicity,[status(thm)],[20431])).
% 39.01/25.45 tff(20433,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 39.01/25.45 inference(transitivity,[status(thm)],[20432, 20430])).
% 39.01/25.45 tff(20434,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20435,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20434, 20433])).
% 39.01/25.45 tff(20436,plain,
% 39.01/25.45 (v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20435, 207, 19732])).
% 39.01/25.45 tff(20437,plain,
% 39.01/25.45 (v84(constB170, bitIndex2) | (~v84(constB171, bitIndex2))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20436, 20429])).
% 39.01/25.45 tff(20438,plain,
% 39.01/25.45 (~v84(constB171, bitIndex2)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20437, 20417])).
% 39.01/25.45 tff(20439,plain,
% 39.01/25.45 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB169)) | v124(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB169)) | v124(constB169, bitIndex1))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20440,plain,
% 39.01/25.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB169)) | v124(constB169, bitIndex1))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20441,plain,
% 39.01/25.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB169)) | v124(constB169, bitIndex1)),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20440, 20439])).
% 39.01/25.45 tff(20442,plain,
% 39.01/25.45 (v124(constB169, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20441, 1750, 20328])).
% 39.01/25.45 tff(20443,plain,
% 39.01/25.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB169) | (~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB169) | (~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20444,plain,
% 39.01/25.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB169) | (~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20445,plain,
% 39.01/25.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB169) | (~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1)),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20444, 20443])).
% 39.01/25.45 tff(20446,plain,
% 39.01/25.45 ((~v124(constB169, bitIndex1)) | v121(constB169, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20445, 875, 20352])).
% 39.01/25.45 tff(20447,plain,
% 39.01/25.45 (v121(constB169, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20446, 20442])).
% 39.01/25.45 tff(20448,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20449,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20450,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1)),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20449, 20448])).
% 39.01/25.45 tff(20451,plain,
% 39.01/25.45 ((~v121(constB169, bitIndex1)) | v123(constB170, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20450, 890, 17676])).
% 39.01/25.45 tff(20452,plain,
% 39.01/25.45 (v123(constB170, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20451, 20447])).
% 39.01/25.45 tff(20453,plain,
% 39.01/25.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20454,plain,
% 39.01/25.45 ((v84(constB170, bitIndex1) | (~v94(constB170)) | (~v123(constB170, bitIndex1))) <=> (v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170)))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20455,plain,
% 39.01/25.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v94(constB170)) | (~v123(constB170, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170))))),
% 39.01/25.45 inference(monotonicity,[status(thm)],[20454])).
% 39.01/25.45 tff(20456,plain,
% 39.01/25.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v94(constB170)) | (~v123(constB170, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170)))),
% 39.01/25.45 inference(transitivity,[status(thm)],[20455, 20453])).
% 39.01/25.45 tff(20457,plain,
% 39.01/25.45 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~v94(constB170)) | (~v123(constB170, bitIndex1)))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20458,plain,
% 39.01/25.45 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~v123(constB170, bitIndex1)) | (~v94(constB170))),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20457, 20456])).
% 39.01/25.45 tff(20459,plain,
% 39.01/25.45 (v84(constB170, bitIndex1) | (~v94(constB170))),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20458, 905, 20452])).
% 39.01/25.45 tff(20460,plain,
% 39.01/25.45 (v84(constB170, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20459, 20392])).
% 39.01/25.45 tff(20461,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20462,plain,
% 39.01/25.45 (((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1)) <=> ((~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1))),
% 39.01/25.45 inference(rewrite,[status(thm)],[])).
% 39.01/25.45 tff(20463,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1)))),
% 39.01/25.45 inference(monotonicity,[status(thm)],[20462])).
% 39.01/25.45 tff(20464,plain,
% 39.01/25.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1))),
% 39.01/25.45 inference(transitivity,[status(thm)],[20463, 20461])).
% 39.01/25.45 tff(20465,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1))),
% 39.01/25.45 inference(quant_inst,[status(thm)],[])).
% 39.01/25.45 tff(20466,plain,
% 39.01/25.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex1)),
% 39.01/25.45 inference(modus_ponens,[status(thm)],[20465, 20464])).
% 39.01/25.45 tff(20467,plain,
% 39.01/25.45 ((~v84(constB170, bitIndex1)) | v94(constB171) | v84(constB171, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20466, 923, 19732])).
% 39.01/25.45 tff(20468,plain,
% 39.01/25.45 ((~v84(constB170, bitIndex1)) | v84(constB171, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20467, 20429])).
% 39.01/25.45 tff(20469,plain,
% 39.01/25.45 (v84(constB171, bitIndex1)),
% 39.01/25.45 inference(unit_resolution,[status(thm)],[20468, 20460])).
% 39.01/25.45 tff(20470,plain,
% 39.01/25.45 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB169)) | v124(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB169)) | v124(constB169, bitIndex0))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20471,plain,
% 39.01/25.46 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB169)) | v124(constB169, bitIndex0))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20472,plain,
% 39.01/25.46 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB169)) | v124(constB169, bitIndex0)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20471, 20470])).
% 39.01/25.46 tff(20473,plain,
% 39.01/25.46 (v124(constB169, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20472, 1791, 20328])).
% 39.01/25.46 tff(20474,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20475,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20476,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20475, 20474])).
% 39.01/25.46 tff(20477,plain,
% 39.01/25.46 ((~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20476, 1289, 20352])).
% 39.01/25.46 tff(20478,plain,
% 39.01/25.46 (v121(constB169, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20477, 20473])).
% 39.01/25.46 tff(20479,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20480,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20481,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 39.01/25.46 tff(20482,plain,
% 39.01/25.46 ((~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20481, 1304, 17676])).
% 39.01/25.46 tff(20483,plain,
% 39.01/25.46 (v123(constB170, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20482, 20478])).
% 39.01/25.46 tff(20484,plain,
% 39.01/25.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20485,plain,
% 39.01/25.46 ((v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0))) <=> (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20486,plain,
% 39.01/25.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170))))),
% 39.01/25.46 inference(monotonicity,[status(thm)],[20485])).
% 39.01/25.46 tff(20487,plain,
% 39.01/25.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 39.01/25.46 inference(transitivity,[status(thm)],[20486, 20484])).
% 39.01/25.46 tff(20488,plain,
% 39.01/25.46 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20489,plain,
% 39.01/25.46 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 39.01/25.46 tff(20490,plain,
% 39.01/25.46 (v84(constB170, bitIndex0) | (~v94(constB170))),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20489, 1319, 20483])).
% 39.01/25.46 tff(20491,plain,
% 39.01/25.46 (v84(constB170, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20490, 20392])).
% 39.01/25.46 tff(20492,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20493,plain,
% 39.01/25.46 (((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0)) <=> ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20494,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0)))),
% 39.01/25.46 inference(monotonicity,[status(thm)],[20493])).
% 39.01/25.46 tff(20495,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 39.01/25.46 inference(transitivity,[status(thm)],[20494, 20492])).
% 39.01/25.46 tff(20496,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20497,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 39.01/25.46 tff(20498,plain,
% 39.01/25.46 ((~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20497, 1337, 19732])).
% 39.01/25.46 tff(20499,plain,
% 39.01/25.46 ((~v84(constB170, bitIndex0)) | v84(constB171, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20498, 20429])).
% 39.01/25.46 tff(20500,plain,
% 39.01/25.46 (v84(constB171, bitIndex0)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20499, 20491])).
% 39.01/25.46 tff(20501,plain,
% 39.01/25.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB171, bitIndex0)) | (~v84(constB171, bitIndex1)) | v84(constB171, bitIndex2) | v116(constB171))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB171, bitIndex0)) | (~v84(constB171, bitIndex1)) | v84(constB171, bitIndex2) | v116(constB171))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20502,plain,
% 39.01/25.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB171, bitIndex0)) | (~v84(constB171, bitIndex1)) | v84(constB171, bitIndex2) | v116(constB171))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20503,plain,
% 39.01/25.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB171, bitIndex0)) | (~v84(constB171, bitIndex1)) | v84(constB171, bitIndex2) | v116(constB171)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20502, 20501])).
% 39.01/25.46 tff(20504,plain,
% 39.01/25.46 (v116(constB171)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20503, 1832, 20500, 20469, 20438])).
% 39.01/25.46 tff(20505,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB171) | (~v116(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20506,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB171) | (~v116(constB171)))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20507,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB171) | (~v116(constB171))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20506, 20505])).
% 39.01/25.46 tff(20508,plain,
% 39.01/25.46 (v110(constB171)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20507, 1843, 20504])).
% 39.01/25.46 tff(20509,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB171) | (~v110(constB171)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB171) | (~v110(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20510,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB171) | (~v110(constB171)))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20511,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB171) | (~v110(constB171))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20510, 20509])).
% 39.01/25.46 tff(20512,plain,
% 39.01/25.46 (v109(constB171)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20511, 314, 20508])).
% 39.01/25.46 tff(20513,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB171) | (~v109(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB171) | (~v109(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20514,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB171) | (~v109(constB171)))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20515,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB171) | (~v109(constB171))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20514, 20513])).
% 39.01/25.46 tff(20516,plain,
% 39.01/25.46 (v108(constB171)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20515, 325, 20512])).
% 39.01/25.46 tff(20517,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB171) | (~v108(constB171)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB171) | (~v108(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20518,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB171) | (~v108(constB171)))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20519,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB171) | (~v108(constB171))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20518, 20517])).
% 39.01/25.46 tff(20520,plain,
% 39.01/25.46 (v107(constB171)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20519, 336, 20516])).
% 39.01/25.46 tff(20521,assumption,(v26(constB171)), introduced(assumption)).
% 39.01/25.46 tff(20522,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20523,plain,
% 39.01/25.46 ($false),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20522, 120, 20521])).
% 39.01/25.46 tff(20524,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.46 tff(20525,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | v106(constB171) | (~v107(constB171)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | v106(constB171) | (~v107(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20526,plain,
% 39.01/25.46 ((v26(constB171) | (~v107(constB171)) | v106(constB171)) <=> (v26(constB171) | v106(constB171) | (~v107(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20527,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | v106(constB171) | (~v107(constB171))))),
% 39.01/25.46 inference(monotonicity,[status(thm)],[20526])).
% 39.01/25.46 tff(20528,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | v106(constB171) | (~v107(constB171)))),
% 39.01/25.46 inference(transitivity,[status(thm)],[20527, 20525])).
% 39.01/25.46 tff(20529,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20530,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | v106(constB171) | (~v107(constB171))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20529, 20528])).
% 39.01/25.46 tff(20531,plain,
% 39.01/25.46 (v106(constB171) | (~v107(constB171))),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20530, 350, 20524])).
% 39.01/25.46 tff(20532,plain,
% 39.01/25.46 (v106(constB171)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20531, 20520])).
% 39.01/25.46 tff(20533,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB171) | (~v106(constB171)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB171) | (~v106(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20534,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB171) | (~v106(constB171)))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20535,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB171) | (~v106(constB171))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20534, 20533])).
% 39.01/25.46 tff(20536,plain,
% 39.01/25.46 (v102(constB171)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20535, 362, 20532])).
% 39.01/25.46 tff(20537,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20538,plain,
% 39.01/25.46 (((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172)) <=> ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20539,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171))))),
% 39.01/25.46 inference(monotonicity,[status(thm)],[20538])).
% 39.01/25.46 tff(20540,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 39.01/25.46 inference(transitivity,[status(thm)],[20539, 20537])).
% 39.01/25.46 tff(20541,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20542,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20541, 20540])).
% 39.01/25.46 tff(20543,plain,
% 39.01/25.46 (v104(constB172) | (~v102(constB171))),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20542, 379, 19764])).
% 39.01/25.46 tff(20544,plain,
% 39.01/25.46 (v104(constB172)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20543, 20536])).
% 39.01/25.46 tff(20545,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20546,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20547,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20546, 20545])).
% 39.01/25.46 tff(20548,plain,
% 39.01/25.46 (~v98(constB172)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20547, 397, 19764, 19772])).
% 39.01/25.46 tff(20549,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20550,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20551,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB171, constB172)) | v96(constB172) | v98(constB172)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20550, 20549])).
% 39.01/25.46 tff(20552,plain,
% 39.01/25.46 (v96(constB172) | v98(constB172)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20551, 411, 19764])).
% 39.01/25.46 tff(20553,plain,
% 39.01/25.46 (v96(constB172)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20552, 20548])).
% 39.01/25.46 tff(20554,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20555,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20556,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20555, 20554])).
% 39.01/25.46 tff(20557,plain,
% 39.01/25.46 (v95(constB172) | (~v96(constB172))),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20556, 429, 19764, 19748])).
% 39.01/25.46 tff(20558,plain,
% 39.01/25.46 (v95(constB172)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20557, 20553])).
% 39.01/25.46 tff(20559,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20560,plain,
% 39.01/25.46 (((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172)) <=> ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20561,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172))))),
% 39.01/25.46 inference(monotonicity,[status(thm)],[20560])).
% 39.01/25.46 tff(20562,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 39.01/25.46 inference(transitivity,[status(thm)],[20561, 20559])).
% 39.01/25.46 tff(20563,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20564,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172))),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20563, 20562])).
% 39.01/25.46 tff(20565,plain,
% 39.01/25.46 (v94(constB172) | (~v95(constB172)) | (~v104(constB172))),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20564, 444, 19764])).
% 39.01/25.46 tff(20566,plain,
% 39.01/25.46 (v94(constB172) | (~v104(constB172))),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20565, 20558])).
% 39.01/25.46 tff(20567,plain,
% 39.01/25.46 (v94(constB172)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20566, 20544])).
% 39.01/25.46 tff(20568,plain,
% 39.01/25.46 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB171)) | v124(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB171)) | v124(constB171, bitIndex2))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20569,plain,
% 39.01/25.46 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB171)) | v124(constB171, bitIndex2))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20570,plain,
% 39.01/25.46 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB171)) | v124(constB171, bitIndex2)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20569, 20568])).
% 39.01/25.46 tff(20571,plain,
% 39.01/25.46 (v124(constB171, bitIndex2)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20570, 1918, 20504])).
% 39.01/25.46 tff(20572,plain,
% 39.01/25.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20573,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20574,plain,
% 39.01/25.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20573, 20572])).
% 39.01/25.46 tff(20575,plain,
% 39.01/25.46 ((~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20574, 477, 20524])).
% 39.01/25.46 tff(20576,plain,
% 39.01/25.46 (v121(constB171, bitIndex2)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20575, 20571])).
% 39.01/25.46 tff(20577,plain,
% 39.01/25.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20578,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))),
% 39.01/25.46 inference(quant_inst,[status(thm)],[])).
% 39.01/25.46 tff(20579,plain,
% 39.01/25.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2)),
% 39.01/25.46 inference(modus_ponens,[status(thm)],[20578, 20577])).
% 39.01/25.46 tff(20580,plain,
% 39.01/25.46 ((~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20579, 492, 19764])).
% 39.01/25.46 tff(20581,plain,
% 39.01/25.46 (v123(constB172, bitIndex2)),
% 39.01/25.46 inference(unit_resolution,[status(thm)],[20580, 20576])).
% 39.01/25.46 tff(20582,plain,
% 39.01/25.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20583,plain,
% 39.01/25.46 ((v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2))) <=> (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 39.01/25.46 inference(rewrite,[status(thm)],[])).
% 39.01/25.46 tff(20584,plain,
% 39.01/25.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172))))),
% 39.01/25.46 inference(monotonicity,[status(thm)],[20583])).
% 39.01/25.46 tff(20585,plain,
% 39.01/25.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 39.01/25.47 inference(transitivity,[status(thm)],[20584, 20582])).
% 39.01/25.47 tff(20586,plain,
% 39.01/25.47 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20587,plain,
% 39.01/25.47 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20586, 20585])).
% 39.01/25.47 tff(20588,plain,
% 39.01/25.47 (v84(constB172, bitIndex2) | (~v94(constB172))),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20587, 507, 20581])).
% 39.01/25.47 tff(20589,plain,
% 39.01/25.47 (v84(constB172, bitIndex2)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20588, 20567])).
% 39.01/25.47 tff(20590,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20591,plain,
% 39.01/25.47 (((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20592,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173))))),
% 39.01/25.47 inference(monotonicity,[status(thm)],[20591])).
% 39.01/25.47 tff(20593,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 39.01/25.47 inference(transitivity,[status(thm)],[20592, 20590])).
% 39.01/25.47 tff(20594,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20595,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20594, 20593])).
% 39.01/25.47 tff(20596,plain,
% 39.01/25.47 (~v95(constB173)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20595, 175, 19819, 19859])).
% 39.01/25.47 tff(20597,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20598,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20599,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20598, 20597])).
% 39.01/25.47 tff(20600,plain,
% 39.01/25.47 (v95(constB173) | (~v94(constB173))),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20599, 192, 19819])).
% 39.01/25.47 tff(20601,plain,
% 39.01/25.47 (~v94(constB173)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20600, 20596])).
% 39.01/25.47 tff(20602,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20603,plain,
% 39.01/25.47 (((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2)) <=> ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20604,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2)))),
% 39.01/25.47 inference(monotonicity,[status(thm)],[20603])).
% 39.01/25.47 tff(20605,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 39.01/25.47 inference(transitivity,[status(thm)],[20604, 20602])).
% 39.01/25.47 tff(20606,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20607,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2)),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20606, 20605])).
% 39.01/25.47 tff(20608,plain,
% 39.01/25.47 ((~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20607, 543, 19819])).
% 39.01/25.47 tff(20609,plain,
% 39.01/25.47 ((~v84(constB172, bitIndex2)) | v84(constB173, bitIndex2)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20608, 20601])).
% 39.01/25.47 tff(20610,plain,
% 39.01/25.47 (v84(constB173, bitIndex2)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20609, 20589])).
% 39.01/25.47 tff(20611,plain,
% 39.01/25.47 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB171)) | (~v124(constB171, bitIndex1)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20612,plain,
% 39.01/25.47 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex1)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20613,plain,
% 39.01/25.47 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB171)) | (~v124(constB171, bitIndex1))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20612, 20611])).
% 39.01/25.47 tff(20614,plain,
% 39.01/25.47 (~v124(constB171, bitIndex1)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20613, 1977, 20504])).
% 39.01/25.47 tff(20615,plain,
% 39.01/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20616,plain,
% 39.01/25.47 ((v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1))) <=> ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20617,plain,
% 39.01/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1)))),
% 39.01/25.47 inference(monotonicity,[status(thm)],[20616])).
% 39.01/25.47 tff(20618,plain,
% 39.01/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 39.01/25.47 inference(transitivity,[status(thm)],[20617, 20615])).
% 39.01/25.47 tff(20619,plain,
% 39.01/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20620,plain,
% 39.01/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1)),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 39.01/25.47 tff(20621,plain,
% 39.01/25.47 ((~v121(constB171, bitIndex1)) | v124(constB171, bitIndex1)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20620, 576, 20524])).
% 39.01/25.47 tff(20622,plain,
% 39.01/25.47 (~v121(constB171, bitIndex1)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20621, 20614])).
% 39.01/25.47 tff(20623,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20624,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20625,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20624, 20623])).
% 39.01/25.47 tff(20626,plain,
% 39.01/25.47 (v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1))),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20625, 594, 19764])).
% 39.01/25.47 tff(20627,plain,
% 39.01/25.47 (~v123(constB172, bitIndex1)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20626, 20622])).
% 39.01/25.47 tff(20628,plain,
% 39.01/25.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20629,plain,
% 39.01/25.47 (((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1)) <=> ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20630,plain,
% 39.01/25.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172))))),
% 39.01/25.47 inference(monotonicity,[status(thm)],[20629])).
% 39.01/25.47 tff(20631,plain,
% 39.01/25.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 39.01/25.47 inference(transitivity,[status(thm)],[20630, 20628])).
% 39.01/25.47 tff(20632,plain,
% 39.01/25.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20633,plain,
% 39.01/25.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20632, 20631])).
% 39.01/25.47 tff(20634,plain,
% 39.01/25.47 ((~v84(constB172, bitIndex1)) | (~v94(constB172))),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20633, 609, 20627])).
% 39.01/25.47 tff(20635,plain,
% 39.01/25.47 (~v84(constB172, bitIndex1)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20634, 20567])).
% 39.01/25.47 tff(20636,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20637,plain,
% 39.01/25.47 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1))) <=> (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20638,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1))))),
% 39.01/25.47 inference(monotonicity,[status(thm)],[20637])).
% 39.01/25.47 tff(20639,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 39.01/25.47 inference(transitivity,[status(thm)],[20638, 20636])).
% 39.01/25.47 tff(20640,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20641,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20640, 20639])).
% 39.01/25.47 tff(20642,plain,
% 39.01/25.47 (v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1))),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20641, 228, 19819])).
% 39.01/25.47 tff(20643,plain,
% 39.01/25.47 (v84(constB172, bitIndex1) | (~v84(constB173, bitIndex1))),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20642, 20601])).
% 39.01/25.47 tff(20644,plain,
% 39.01/25.47 (~v84(constB173, bitIndex1)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20643, 20635])).
% 39.01/25.47 tff(20645,plain,
% 39.01/25.47 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB171)) | (~v124(constB171, bitIndex0)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20646,plain,
% 39.01/25.47 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex0)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20647,plain,
% 39.01/25.47 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB171)) | (~v124(constB171, bitIndex0))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20646, 20645])).
% 39.01/25.47 tff(20648,plain,
% 39.01/25.47 (~v124(constB171, bitIndex0)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20647, 2021, 20504])).
% 39.01/25.47 tff(20649,plain,
% 39.01/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20650,plain,
% 39.01/25.47 ((v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0))) <=> ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20651,plain,
% 39.01/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0)))),
% 39.01/25.47 inference(monotonicity,[status(thm)],[20650])).
% 39.01/25.47 tff(20652,plain,
% 39.01/25.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 39.01/25.47 inference(transitivity,[status(thm)],[20651, 20649])).
% 39.01/25.47 tff(20653,plain,
% 39.01/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20654,plain,
% 39.01/25.47 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0)),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20653, 20652])).
% 39.01/25.47 tff(20655,plain,
% 39.01/25.47 ((~v121(constB171, bitIndex0)) | v124(constB171, bitIndex0)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20654, 650, 20524])).
% 39.01/25.47 tff(20656,plain,
% 39.01/25.47 (~v121(constB171, bitIndex0)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20655, 20648])).
% 39.01/25.47 tff(20657,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20658,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20659,plain,
% 39.01/25.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20658, 20657])).
% 39.01/25.47 tff(20660,plain,
% 39.01/25.47 (v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0))),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20659, 668, 19764])).
% 39.01/25.47 tff(20661,plain,
% 39.01/25.47 (~v123(constB172, bitIndex0)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20660, 20656])).
% 39.01/25.47 tff(20662,plain,
% 39.01/25.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20663,plain,
% 39.01/25.47 (((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0)) <=> ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 39.01/25.47 inference(rewrite,[status(thm)],[])).
% 39.01/25.47 tff(20664,plain,
% 39.01/25.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172))))),
% 39.01/25.47 inference(monotonicity,[status(thm)],[20663])).
% 39.01/25.47 tff(20665,plain,
% 39.01/25.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 39.01/25.47 inference(transitivity,[status(thm)],[20664, 20662])).
% 39.01/25.47 tff(20666,plain,
% 39.01/25.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))),
% 39.01/25.47 inference(quant_inst,[status(thm)],[])).
% 39.01/25.47 tff(20667,plain,
% 39.01/25.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172))),
% 39.01/25.47 inference(modus_ponens,[status(thm)],[20666, 20665])).
% 39.01/25.47 tff(20668,plain,
% 39.01/25.47 ((~v84(constB172, bitIndex0)) | (~v94(constB172))),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20667, 683, 20661])).
% 39.01/25.47 tff(20669,plain,
% 39.01/25.47 (~v84(constB172, bitIndex0)),
% 39.01/25.47 inference(unit_resolution,[status(thm)],[20668, 20567])).
% 39.01/25.47 tff(20670,plain,
% 39.01/25.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20671,plain,
% 39.01/25.48 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0))) <=> (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20672,plain,
% 39.01/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0))))),
% 39.01/25.48 inference(monotonicity,[status(thm)],[20671])).
% 39.01/25.48 tff(20673,plain,
% 39.01/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 39.01/25.48 inference(transitivity,[status(thm)],[20672, 20670])).
% 39.01/25.48 tff(20674,plain,
% 39.01/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20675,plain,
% 39.01/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0))),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 39.01/25.48 tff(20676,plain,
% 39.01/25.48 (v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0))),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20675, 249, 19819])).
% 39.01/25.48 tff(20677,plain,
% 39.01/25.48 (v84(constB172, bitIndex0) | (~v84(constB173, bitIndex0))),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20676, 20601])).
% 39.01/25.48 tff(20678,plain,
% 39.01/25.48 (~v84(constB173, bitIndex0)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20677, 20669])).
% 39.01/25.48 tff(20679,plain,
% 39.01/25.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20680,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20681,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173)),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20680, 20679])).
% 39.01/25.48 tff(20682,plain,
% 39.01/25.48 (v172(constB173)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20681, 710, 20678, 20644, 20610])).
% 39.01/25.48 tff(20683,plain,
% 39.01/25.48 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB173) | (~v172(constB173)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB173) | (~v172(constB173)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20684,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB173) | (~v172(constB173)))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20685,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB173) | (~v172(constB173))),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20684, 20683])).
% 39.01/25.48 tff(20686,plain,
% 39.01/25.48 (v109(constB173)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20685, 764, 20682])).
% 39.01/25.48 tff(20687,plain,
% 39.01/25.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB173) | (~v109(constB173)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB173) | (~v109(constB173)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20688,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB173) | (~v109(constB173)))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20689,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB173) | (~v109(constB173))),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20688, 20687])).
% 39.01/25.48 tff(20690,plain,
% 39.01/25.48 (v108(constB173)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20689, 325, 20686])).
% 39.01/25.48 tff(20691,plain,
% 39.01/25.48 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB173) | (~v108(constB173)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB173) | (~v108(constB173)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20692,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB173) | (~v108(constB173)))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20693,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB173) | (~v108(constB173))),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20692, 20691])).
% 39.01/25.48 tff(20694,plain,
% 39.01/25.48 (v107(constB173)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20693, 336, 20690])).
% 39.01/25.48 tff(20695,assumption,(v26(constB173)), introduced(assumption)).
% 39.01/25.48 tff(20696,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20697,plain,
% 39.01/25.48 ($false),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20696, 120, 20695])).
% 39.01/25.48 tff(20698,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 39.01/25.48 tff(20699,plain,
% 39.01/25.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | v106(constB173) | (~v107(constB173)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20700,plain,
% 39.01/25.48 ((v26(constB173) | (~v107(constB173)) | v106(constB173)) <=> (v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20701,plain,
% 39.01/25.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | v106(constB173) | (~v107(constB173))))),
% 39.01/25.48 inference(monotonicity,[status(thm)],[20700])).
% 39.01/25.48 tff(20702,plain,
% 39.01/25.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 39.01/25.48 inference(transitivity,[status(thm)],[20701, 20699])).
% 39.01/25.48 tff(20703,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20704,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173))),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20703, 20702])).
% 39.01/25.48 tff(20705,plain,
% 39.01/25.48 (v106(constB173) | (~v107(constB173))),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20704, 350, 20698])).
% 39.01/25.48 tff(20706,plain,
% 39.01/25.48 (v106(constB173)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20705, 20694])).
% 39.01/25.48 tff(20707,plain,
% 39.01/25.48 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB173) | (~v106(constB173)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB173) | (~v106(constB173)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20708,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB173) | (~v106(constB173)))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20709,plain,
% 39.01/25.48 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB173) | (~v106(constB173))),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20708, 20707])).
% 39.01/25.48 tff(20710,plain,
% 39.01/25.48 (v102(constB173)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20709, 362, 20706])).
% 39.01/25.48 tff(20711,plain,
% 39.01/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20712,plain,
% 39.01/25.48 (((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174)) <=> ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20713,plain,
% 39.01/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173))))),
% 39.01/25.48 inference(monotonicity,[status(thm)],[20712])).
% 39.01/25.48 tff(20714,plain,
% 39.01/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 39.01/25.48 inference(transitivity,[status(thm)],[20713, 20711])).
% 39.01/25.48 tff(20715,plain,
% 39.01/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20716,plain,
% 39.01/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173))),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20715, 20714])).
% 39.01/25.48 tff(20717,plain,
% 39.01/25.48 (v104(constB174) | (~v102(constB173))),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20716, 379, 19851])).
% 39.01/25.48 tff(20718,plain,
% 39.01/25.48 (v104(constB174)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20717, 20710])).
% 39.01/25.48 tff(20719,plain,
% 39.01/25.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))),
% 39.01/25.48 inference(rewrite,[status(thm)],[])).
% 39.01/25.48 tff(20720,plain,
% 39.01/25.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))),
% 39.01/25.48 inference(quant_inst,[status(thm)],[])).
% 39.01/25.48 tff(20721,plain,
% 39.01/25.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174))),
% 39.01/25.48 inference(modus_ponens,[status(thm)],[20720, 20719])).
% 39.01/25.48 tff(20722,plain,
% 39.01/25.48 (~v98(constB174)),
% 39.01/25.48 inference(unit_resolution,[status(thm)],[20721, 397, 19851, 19859])).
% 39.01/25.48 tff(20723,plain,
% 39.01/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20724,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20725,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB173, constB174)) | v96(constB174) | v98(constB174)),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20724, 20723])).
% 39.09/25.48 tff(20726,plain,
% 39.09/25.48 (v96(constB174) | v98(constB174)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20725, 411, 19851])).
% 39.09/25.48 tff(20727,plain,
% 39.09/25.48 (v96(constB174)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20726, 20722])).
% 39.09/25.48 tff(20728,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20729,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20730,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174))),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20729, 20728])).
% 39.09/25.48 tff(20731,plain,
% 39.09/25.48 (v95(constB174) | (~v96(constB174))),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20730, 429, 19851, 19835])).
% 39.09/25.48 tff(20732,plain,
% 39.09/25.48 (v95(constB174)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20731, 20727])).
% 39.09/25.48 tff(20733,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20734,plain,
% 39.09/25.48 (((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174)) <=> ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20735,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174))))),
% 39.09/25.48 inference(monotonicity,[status(thm)],[20734])).
% 39.09/25.48 tff(20736,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 39.09/25.48 inference(transitivity,[status(thm)],[20735, 20733])).
% 39.09/25.48 tff(20737,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20738,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174))),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20737, 20736])).
% 39.09/25.48 tff(20739,plain,
% 39.09/25.48 (v94(constB174) | (~v95(constB174)) | (~v104(constB174))),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20738, 444, 19851])).
% 39.09/25.48 tff(20740,plain,
% 39.09/25.48 (v94(constB174) | (~v104(constB174))),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20739, 20732])).
% 39.09/25.48 tff(20741,plain,
% 39.09/25.48 (v94(constB174)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20740, 20718])).
% 39.09/25.48 tff(20742,plain,
% 39.09/25.48 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB173)) | v124(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB173)) | v124(constB173, bitIndex2))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20743,plain,
% 39.09/25.48 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB173)) | v124(constB173, bitIndex2))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20744,plain,
% 39.09/25.48 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB173)) | v124(constB173, bitIndex2)),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20743, 20742])).
% 39.09/25.48 tff(20745,plain,
% 39.09/25.48 (v124(constB173, bitIndex2)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20744, 724, 20682])).
% 39.09/25.48 tff(20746,plain,
% 39.09/25.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20747,plain,
% 39.09/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20748,plain,
% 39.09/25.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2)),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20747, 20746])).
% 39.09/25.48 tff(20749,plain,
% 39.09/25.48 ((~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20748, 477, 20698])).
% 39.09/25.48 tff(20750,plain,
% 39.09/25.48 (v121(constB173, bitIndex2)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20749, 20745])).
% 39.09/25.48 tff(20751,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20752,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20753,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2)),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20752, 20751])).
% 39.09/25.48 tff(20754,plain,
% 39.09/25.48 ((~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20753, 492, 19851])).
% 39.09/25.48 tff(20755,plain,
% 39.09/25.48 (v123(constB174, bitIndex2)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20754, 20750])).
% 39.09/25.48 tff(20756,plain,
% 39.09/25.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20757,plain,
% 39.09/25.48 ((v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2))) <=> (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20758,plain,
% 39.09/25.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174))))),
% 39.09/25.48 inference(monotonicity,[status(thm)],[20757])).
% 39.09/25.48 tff(20759,plain,
% 39.09/25.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 39.09/25.48 inference(transitivity,[status(thm)],[20758, 20756])).
% 39.09/25.48 tff(20760,plain,
% 39.09/25.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20761,plain,
% 39.09/25.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174))),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20760, 20759])).
% 39.09/25.48 tff(20762,plain,
% 39.09/25.48 (v84(constB174, bitIndex2) | (~v94(constB174))),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20761, 507, 20755])).
% 39.09/25.48 tff(20763,plain,
% 39.09/25.48 (v84(constB174, bitIndex2)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20762, 20741])).
% 39.09/25.48 tff(20764,plain,
% 39.09/25.48 ((~v1(constB175)) <=> (~v1(constB175))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20765,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 39.09/25.48 tff(20766,plain,
% 39.09/25.48 (~v1(constB175)),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20765, 20764])).
% 39.09/25.48 tff(20767,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20768,plain,
% 39.09/25.48 (((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20769,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175))))),
% 39.09/25.48 inference(monotonicity,[status(thm)],[20768])).
% 39.09/25.48 tff(20770,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 39.09/25.48 inference(transitivity,[status(thm)],[20769, 20767])).
% 39.09/25.48 tff(20771,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20772,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175))),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 39.09/25.48 tff(20773,plain,
% 39.09/25.48 (~v95(constB175)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20772, 175, 19912, 20766])).
% 39.09/25.48 tff(20774,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20775,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))),
% 39.09/25.48 inference(quant_inst,[status(thm)],[])).
% 39.09/25.48 tff(20776,plain,
% 39.09/25.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175))),
% 39.09/25.48 inference(modus_ponens,[status(thm)],[20775, 20774])).
% 39.09/25.48 tff(20777,plain,
% 39.09/25.48 (v95(constB175) | (~v94(constB175))),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20776, 192, 19912])).
% 39.09/25.48 tff(20778,plain,
% 39.09/25.48 (~v94(constB175)),
% 39.09/25.48 inference(unit_resolution,[status(thm)],[20777, 20773])).
% 39.09/25.48 tff(20779,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20780,plain,
% 39.09/25.48 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2)) <=> ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 39.09/25.48 inference(rewrite,[status(thm)],[])).
% 39.09/25.48 tff(20781,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2)))),
% 39.09/25.48 inference(monotonicity,[status(thm)],[20780])).
% 39.09/25.48 tff(20782,plain,
% 39.09/25.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 39.09/25.48 inference(transitivity,[status(thm)],[20781, 20779])).
% 39.09/25.49 tff(20783,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20784,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2)),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20783, 20782])).
% 39.09/25.49 tff(20785,plain,
% 39.09/25.49 ((~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20784, 543, 19912])).
% 39.09/25.49 tff(20786,plain,
% 39.09/25.49 ((~v84(constB174, bitIndex2)) | v84(constB175, bitIndex2)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20785, 20778])).
% 39.09/25.49 tff(20787,plain,
% 39.09/25.49 (v84(constB175, bitIndex2)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20786, 20763])).
% 39.09/25.49 tff(20788,plain,
% 39.09/25.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB175, bitIndex2)) | (~v115(constB175)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB175, bitIndex2)) | (~v115(constB175)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20789,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB175, bitIndex2)) | (~v115(constB175)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20790,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB175, bitIndex2)) | (~v115(constB175))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20789, 20788])).
% 39.09/25.49 tff(20791,plain,
% 39.09/25.49 (~v115(constB175)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20790, 1058, 20787])).
% 39.09/25.49 tff(20792,plain,
% 39.09/25.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB175, bitIndex2)) | (~v116(constB175)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB175, bitIndex2)) | (~v116(constB175)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20793,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB175, bitIndex2)) | (~v116(constB175)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20794,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB175, bitIndex2)) | (~v116(constB175))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20793, 20792])).
% 39.09/25.49 tff(20795,plain,
% 39.09/25.49 (~v116(constB175)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20794, 1069, 20787])).
% 39.09/25.49 tff(20796,plain,
% 39.09/25.49 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB173)) | v124(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB173)) | v124(constB173, bitIndex1))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20797,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB173)) | v124(constB173, bitIndex1))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20798,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB173)) | v124(constB173, bitIndex1)),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20797, 20796])).
% 39.09/25.49 tff(20799,plain,
% 39.09/25.49 (v124(constB173, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20798, 861, 20682])).
% 39.09/25.49 tff(20800,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20801,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20802,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1)),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20801, 20800])).
% 39.09/25.49 tff(20803,plain,
% 39.09/25.49 ((~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20802, 875, 20698])).
% 39.09/25.49 tff(20804,plain,
% 39.09/25.49 (v121(constB173, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20803, 20799])).
% 39.09/25.49 tff(20805,plain,
% 39.09/25.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20806,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20807,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1)),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20806, 20805])).
% 39.09/25.49 tff(20808,plain,
% 39.09/25.49 ((~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20807, 890, 19851])).
% 39.09/25.49 tff(20809,plain,
% 39.09/25.49 (v123(constB174, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20808, 20804])).
% 39.09/25.49 tff(20810,plain,
% 39.09/25.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20811,plain,
% 39.09/25.49 ((v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1))) <=> (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20812,plain,
% 39.09/25.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174))))),
% 39.09/25.49 inference(monotonicity,[status(thm)],[20811])).
% 39.09/25.49 tff(20813,plain,
% 39.09/25.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 39.09/25.49 inference(transitivity,[status(thm)],[20812, 20810])).
% 39.09/25.49 tff(20814,plain,
% 39.09/25.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20815,plain,
% 39.09/25.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20814, 20813])).
% 39.09/25.49 tff(20816,plain,
% 39.09/25.49 (v84(constB174, bitIndex1) | (~v94(constB174))),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20815, 905, 20809])).
% 39.09/25.49 tff(20817,plain,
% 39.09/25.49 (v84(constB174, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20816, 20741])).
% 39.09/25.49 tff(20818,plain,
% 39.09/25.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20819,plain,
% 39.09/25.49 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1)) <=> ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20820,plain,
% 39.09/25.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1)))),
% 39.09/25.49 inference(monotonicity,[status(thm)],[20819])).
% 39.09/25.49 tff(20821,plain,
% 39.09/25.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 39.09/25.49 inference(transitivity,[status(thm)],[20820, 20818])).
% 39.09/25.49 tff(20822,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20823,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1)),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20822, 20821])).
% 39.09/25.49 tff(20824,plain,
% 39.09/25.49 ((~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20823, 923, 19912])).
% 39.09/25.49 tff(20825,plain,
% 39.09/25.49 ((~v84(constB174, bitIndex1)) | v84(constB175, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20824, 20778])).
% 39.09/25.49 tff(20826,plain,
% 39.09/25.49 (v84(constB175, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20825, 20817])).
% 39.09/25.49 tff(20827,plain,
% 39.09/25.49 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB175)) | (~v84(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB175)) | (~v84(constB175, bitIndex1)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20828,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB175)) | (~v84(constB175, bitIndex1)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20829,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB175)) | (~v84(constB175, bitIndex1))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 39.09/25.49 tff(20830,plain,
% 39.09/25.49 (~v113(constB175)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20829, 1083, 20826])).
% 39.09/25.49 tff(20831,plain,
% 39.09/25.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB175, bitIndex1)) | (~v118(constB175)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB175, bitIndex1)) | (~v118(constB175)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20832,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB175, bitIndex1)) | (~v118(constB175)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20833,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB175, bitIndex1)) | (~v118(constB175))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20832, 20831])).
% 39.09/25.49 tff(20834,plain,
% 39.09/25.49 (~v118(constB175)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20833, 1094, 20826])).
% 39.09/25.49 tff(20835,plain,
% 39.09/25.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB175, bitIndex1)) | (~v172(constB175)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB175, bitIndex1)) | (~v172(constB175)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20836,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB175, bitIndex1)) | (~v172(constB175)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20837,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB175, bitIndex1)) | (~v172(constB175))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20836, 20835])).
% 39.09/25.49 tff(20838,plain,
% 39.09/25.49 (~v172(constB175)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20837, 1105, 20826])).
% 39.09/25.49 tff(20839,plain,
% 39.09/25.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB175, bitIndex1)) | (~v145(constB175)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB175, bitIndex1)) | (~v145(constB175)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20840,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB175, bitIndex1)) | (~v145(constB175)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20841,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB175, bitIndex1)) | (~v145(constB175))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20840, 20839])).
% 39.09/25.49 tff(20842,plain,
% 39.09/25.49 (~v145(constB175)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20841, 1116, 20826])).
% 39.09/25.49 tff(20843,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20844,plain,
% 39.09/25.49 ((v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1))) <=> (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20845,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1))))),
% 39.09/25.49 inference(monotonicity,[status(thm)],[20844])).
% 39.09/25.49 tff(20846,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 39.09/25.49 inference(transitivity,[status(thm)],[20845, 20843])).
% 39.09/25.49 tff(20847,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20848,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20847, 20846])).
% 39.09/25.49 tff(20849,plain,
% 39.09/25.49 (~v124(constB175, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20848, 1225, 20842, 20838, 20834, 20830, 20795, 20791])).
% 39.09/25.49 tff(20850,assumption,(v26(constB175)), introduced(assumption)).
% 39.09/25.49 tff(20851,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20852,plain,
% 39.09/25.49 ($false),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20851, 120, 20850])).
% 39.09/25.49 tff(20853,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 39.09/25.49 tff(20854,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20855,plain,
% 39.09/25.49 ((v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1))) <=> ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20856,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1)))),
% 39.09/25.49 inference(monotonicity,[status(thm)],[20855])).
% 39.09/25.49 tff(20857,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 39.09/25.49 inference(transitivity,[status(thm)],[20856, 20854])).
% 39.09/25.49 tff(20858,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20859,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1)),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20858, 20857])).
% 39.09/25.49 tff(20860,plain,
% 39.09/25.49 ((~v121(constB175, bitIndex1)) | v124(constB175, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20859, 576, 20853])).
% 39.09/25.49 tff(20861,plain,
% 39.09/25.49 (~v121(constB175, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20860, 20849])).
% 39.09/25.49 tff(20862,plain,
% 39.09/25.49 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20863,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 39.09/25.49 tff(20864,plain,
% 39.09/25.49 (nextState(constB175, constB176)),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 39.09/25.49 tff(20865,plain,
% 39.09/25.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20866,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20867,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20866, 20865])).
% 39.09/25.49 tff(20868,plain,
% 39.09/25.49 (v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1))),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20867, 594, 20864])).
% 39.09/25.49 tff(20869,plain,
% 39.09/25.49 (~v123(constB176, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20868, 20861])).
% 39.09/25.49 tff(20870,assumption,(v172(constB173)), introduced(assumption)).
% 39.09/25.49 tff(20871,plain,
% 39.09/25.49 (v109(constB173)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20685, 764, 20870])).
% 39.09/25.49 tff(20872,plain,
% 39.09/25.49 (v108(constB173)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20689, 325, 20871])).
% 39.09/25.49 tff(20873,plain,
% 39.09/25.49 (v107(constB173)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20693, 336, 20872])).
% 39.09/25.49 tff(20874,plain,
% 39.09/25.49 (v106(constB173)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20705, 20873])).
% 39.09/25.49 tff(20875,plain,
% 39.09/25.49 (v102(constB173)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20709, 362, 20874])).
% 39.09/25.49 tff(20876,plain,
% 39.09/25.49 (v104(constB174)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20717, 20875])).
% 39.09/25.49 tff(20877,plain,
% 39.09/25.49 (v94(constB174)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20740, 20876])).
% 39.09/25.49 tff(20878,plain,
% 39.09/25.49 (v124(constB173, bitIndex2)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20744, 724, 20870])).
% 39.09/25.49 tff(20879,plain,
% 39.09/25.49 (v121(constB173, bitIndex2)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20749, 20878])).
% 39.09/25.49 tff(20880,plain,
% 39.09/25.49 (v123(constB174, bitIndex2)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20754, 20879])).
% 39.09/25.49 tff(20881,plain,
% 39.09/25.49 (v84(constB174, bitIndex2) | (~v94(constB174))),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20761, 507, 20880])).
% 39.09/25.49 tff(20882,plain,
% 39.09/25.49 (v84(constB174, bitIndex2)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20881, 20877])).
% 39.09/25.49 tff(20883,plain,
% 39.09/25.49 (v84(constB175, bitIndex2)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20786, 20882])).
% 39.09/25.49 tff(20884,plain,
% 39.09/25.49 (v124(constB173, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20798, 861, 20870])).
% 39.09/25.49 tff(20885,plain,
% 39.09/25.49 (v121(constB173, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20803, 20884])).
% 39.09/25.49 tff(20886,plain,
% 39.09/25.49 (v123(constB174, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20808, 20885])).
% 39.09/25.49 tff(20887,plain,
% 39.09/25.49 (v84(constB174, bitIndex1) | (~v94(constB174))),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20815, 905, 20886])).
% 39.09/25.49 tff(20888,plain,
% 39.09/25.49 (v84(constB174, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20887, 20877])).
% 39.09/25.49 tff(20889,plain,
% 39.09/25.49 (v84(constB175, bitIndex1)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20825, 20888])).
% 39.09/25.49 tff(20890,plain,
% 39.09/25.49 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB173)) | (~v124(constB173, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB173)) | (~v124(constB173, bitIndex0)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20891,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB173)) | (~v124(constB173, bitIndex0)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20892,plain,
% 39.09/25.49 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB173)) | (~v124(constB173, bitIndex0))),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20891, 20890])).
% 39.09/25.49 tff(20893,plain,
% 39.09/25.49 (~v124(constB173, bitIndex0)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20892, 942, 20870])).
% 39.09/25.49 tff(20894,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20895,plain,
% 39.09/25.49 ((v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0))) <=> ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20896,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0)))),
% 39.09/25.49 inference(monotonicity,[status(thm)],[20895])).
% 39.09/25.49 tff(20897,plain,
% 39.09/25.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 39.09/25.49 inference(transitivity,[status(thm)],[20896, 20894])).
% 39.09/25.49 tff(20898,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20899,plain,
% 39.09/25.49 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0)),
% 39.09/25.49 inference(modus_ponens,[status(thm)],[20898, 20897])).
% 39.09/25.49 tff(20900,plain,
% 39.09/25.49 ((~v121(constB173, bitIndex0)) | v124(constB173, bitIndex0)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20899, 650, 20698])).
% 39.09/25.49 tff(20901,plain,
% 39.09/25.49 (~v121(constB173, bitIndex0)),
% 39.09/25.49 inference(unit_resolution,[status(thm)],[20900, 20893])).
% 39.09/25.49 tff(20902,plain,
% 39.09/25.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))),
% 39.09/25.49 inference(rewrite,[status(thm)],[])).
% 39.09/25.49 tff(20903,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))),
% 39.09/25.49 inference(quant_inst,[status(thm)],[])).
% 39.09/25.49 tff(20904,plain,
% 39.09/25.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20903, 20902])).
% 39.09/25.50 tff(20905,plain,
% 39.09/25.50 (v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20904, 668, 19851])).
% 39.09/25.50 tff(20906,plain,
% 39.09/25.50 (~v123(constB174, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20905, 20901])).
% 39.09/25.50 tff(20907,plain,
% 39.09/25.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20908,plain,
% 39.09/25.50 (((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0)) <=> ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20909,plain,
% 39.09/25.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174))))),
% 39.09/25.50 inference(monotonicity,[status(thm)],[20908])).
% 39.09/25.50 tff(20910,plain,
% 39.09/25.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 39.09/25.50 inference(transitivity,[status(thm)],[20909, 20907])).
% 39.09/25.50 tff(20911,plain,
% 39.09/25.50 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20912,plain,
% 39.09/25.50 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 39.09/25.50 tff(20913,plain,
% 39.09/25.50 ((~v84(constB174, bitIndex0)) | (~v94(constB174))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20912, 683, 20906])).
% 39.09/25.50 tff(20914,plain,
% 39.09/25.50 (~v84(constB174, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20913, 20877])).
% 39.09/25.50 tff(20915,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20916,plain,
% 39.09/25.50 (((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0))) <=> (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20917,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0))))),
% 39.09/25.50 inference(monotonicity,[status(thm)],[20916])).
% 39.09/25.50 tff(20918,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 39.09/25.50 inference(transitivity,[status(thm)],[20917, 20915])).
% 39.09/25.50 tff(20919,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20920,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 39.09/25.50 tff(20921,plain,
% 39.09/25.50 (v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20920, 249, 19912])).
% 39.09/25.50 tff(20922,plain,
% 39.09/25.50 (v84(constB174, bitIndex0) | (~v84(constB175, bitIndex0))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20921, 20778])).
% 39.09/25.50 tff(20923,plain,
% 39.09/25.50 (~v84(constB175, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20922, 20914])).
% 39.09/25.50 tff(20924,plain,
% 39.09/25.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20925,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20926,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175)),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 39.09/25.50 tff(20927,plain,
% 39.09/25.50 (v119(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20926, 986, 20923, 20889, 20883])).
% 39.09/25.50 tff(20928,plain,
% 39.09/25.50 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB175) | (~v119(constB175)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB175) | (~v119(constB175)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20929,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB175) | (~v119(constB175)))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20930,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB175) | (~v119(constB175))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 39.09/25.50 tff(20931,plain,
% 39.09/25.50 (v107(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20930, 997, 20927])).
% 39.09/25.50 tff(20932,plain,
% 39.09/25.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB175) | (~v107(constB175)) | v106(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB175) | (~v107(constB175)) | v106(constB175))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20933,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB175) | (~v107(constB175)) | v106(constB175))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20934,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB175) | (~v107(constB175)) | v106(constB175)),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20933, 20932])).
% 39.09/25.50 tff(20935,plain,
% 39.09/25.50 ((~v107(constB175)) | v106(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20934, 350, 20853])).
% 39.09/25.50 tff(20936,plain,
% 39.09/25.50 (v106(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20935, 20931])).
% 39.09/25.50 tff(20937,plain,
% 39.09/25.50 (~v115(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20790, 1058, 20883])).
% 39.09/25.50 tff(20938,plain,
% 39.09/25.50 (~v116(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20794, 1069, 20883])).
% 39.09/25.50 tff(20939,plain,
% 39.09/25.50 (~v113(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20829, 1083, 20889])).
% 39.09/25.50 tff(20940,plain,
% 39.09/25.50 (~v118(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20833, 1094, 20889])).
% 39.09/25.50 tff(20941,plain,
% 39.09/25.50 (~v172(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20837, 1105, 20889])).
% 39.09/25.50 tff(20942,plain,
% 39.09/25.50 (~v145(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20841, 1116, 20889])).
% 39.09/25.50 tff(20943,plain,
% 39.09/25.50 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20944,plain,
% 39.09/25.50 ((v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0)) <=> (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20945,plain,
% 39.09/25.50 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0)))),
% 39.09/25.50 inference(monotonicity,[status(thm)],[20944])).
% 39.09/25.50 tff(20946,plain,
% 39.09/25.50 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 39.09/25.50 inference(transitivity,[status(thm)],[20945, 20943])).
% 39.09/25.50 tff(20947,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20948,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0)),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20947, 20946])).
% 39.09/25.50 tff(20949,plain,
% 39.09/25.50 (v124(constB175, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20948, 1272, 20942, 20941, 20940, 20939, 20938, 20937])).
% 39.09/25.50 tff(20950,plain,
% 39.09/25.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20951,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20952,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0)),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20951, 20950])).
% 39.09/25.50 tff(20953,plain,
% 39.09/25.50 ((~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20952, 1289, 20853])).
% 39.09/25.50 tff(20954,plain,
% 39.09/25.50 (v121(constB175, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20953, 20949])).
% 39.09/25.50 tff(20955,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20956,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20957,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0)),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20956, 20955])).
% 39.09/25.50 tff(20958,plain,
% 39.09/25.50 ((~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20957, 1304, 20864])).
% 39.09/25.50 tff(20959,plain,
% 39.09/25.50 (v123(constB176, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20958, 20954])).
% 39.09/25.50 tff(20960,assumption,(~v84(constB176, bitIndex0)), introduced(assumption)).
% 39.09/25.50 tff(20961,plain,
% 39.09/25.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20962,plain,
% 39.09/25.50 ((v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0))) <=> (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20963,plain,
% 39.09/25.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176))))),
% 39.09/25.50 inference(monotonicity,[status(thm)],[20962])).
% 39.09/25.50 tff(20964,plain,
% 39.09/25.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 39.09/25.50 inference(transitivity,[status(thm)],[20963, 20961])).
% 39.09/25.50 tff(20965,plain,
% 39.09/25.50 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20966,plain,
% 39.09/25.50 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20965, 20964])).
% 39.09/25.50 tff(20967,plain,
% 39.09/25.50 ((~v123(constB176, bitIndex0)) | (~v94(constB176))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20966, 1319, 20960])).
% 39.09/25.50 tff(20968,plain,
% 39.09/25.50 (~v94(constB176)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20967, 20959])).
% 39.09/25.50 tff(20969,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20970,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20971,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20970, 20969])).
% 39.09/25.50 tff(20972,plain,
% 39.09/25.50 (~v98(constB176)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20971, 397, 20864, 20766])).
% 39.09/25.50 tff(20973,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20974,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20975,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB175, constB176)) | v96(constB176) | v98(constB176)),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 39.09/25.50 tff(20976,plain,
% 39.09/25.50 (v96(constB176) | v98(constB176)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20975, 411, 20864])).
% 39.09/25.50 tff(20977,plain,
% 39.09/25.50 (v96(constB176)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20976, 20972])).
% 39.09/25.50 tff(20978,plain,
% 39.09/25.50 (v1(constB176) <=> v1(constB176)),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20979,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 39.09/25.50 tff(20980,plain,
% 39.09/25.50 (v1(constB176)),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20979, 20978])).
% 39.09/25.50 tff(20981,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20982,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20983,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20982, 20981])).
% 39.09/25.50 tff(20984,plain,
% 39.09/25.50 (v95(constB176) | (~v96(constB176))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20983, 429, 20864, 20980])).
% 39.09/25.50 tff(20985,plain,
% 39.09/25.50 (v95(constB176)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20984, 20977])).
% 39.09/25.50 tff(20986,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20987,plain,
% 39.09/25.50 (((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176)) <=> ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20988,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176))))),
% 39.09/25.50 inference(monotonicity,[status(thm)],[20987])).
% 39.09/25.50 tff(20989,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 39.09/25.50 inference(transitivity,[status(thm)],[20988, 20986])).
% 39.09/25.50 tff(20990,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(20991,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20990, 20989])).
% 39.09/25.50 tff(20992,plain,
% 39.09/25.50 (v94(constB176) | (~v95(constB176)) | (~v104(constB176))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20991, 444, 20864])).
% 39.09/25.50 tff(20993,plain,
% 39.09/25.50 (v94(constB176) | (~v104(constB176))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20992, 20985])).
% 39.09/25.50 tff(20994,plain,
% 39.09/25.50 (~v104(constB176)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20993, 20968])).
% 39.09/25.50 tff(20995,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20996,plain,
% 39.09/25.50 (((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176)) <=> ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(20997,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175))))),
% 39.09/25.50 inference(monotonicity,[status(thm)],[20996])).
% 39.09/25.50 tff(20998,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 39.09/25.50 inference(transitivity,[status(thm)],[20997, 20995])).
% 39.09/25.50 tff(20999,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(21000,plain,
% 39.09/25.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 39.09/25.50 tff(21001,plain,
% 39.09/25.50 (v104(constB176) | (~v102(constB175))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[21000, 379, 20864])).
% 39.09/25.50 tff(21002,plain,
% 39.09/25.50 (~v102(constB175)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[21001, 20994])).
% 39.09/25.50 tff(21003,plain,
% 39.09/25.50 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB175) | (~v106(constB175)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB175) | (~v106(constB175)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(21004,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB175) | (~v106(constB175)))),
% 39.09/25.50 inference(quant_inst,[status(thm)],[])).
% 39.09/25.50 tff(21005,plain,
% 39.09/25.50 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB175) | (~v106(constB175))),
% 39.09/25.50 inference(modus_ponens,[status(thm)],[21004, 21003])).
% 39.09/25.50 tff(21006,plain,
% 39.09/25.50 ($false),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[21005, 362, 21002, 20936])).
% 39.09/25.50 tff(21007,plain,((~v172(constB173)) | v84(constB176, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.09/25.50 tff(21008,plain,
% 39.09/25.50 (v84(constB176, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[21007, 20682])).
% 39.09/25.50 tff(21009,plain,
% 39.09/25.50 (~v124(constB173, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20892, 942, 20682])).
% 39.09/25.50 tff(21010,plain,
% 39.09/25.50 (~v121(constB173, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20900, 21009])).
% 39.09/25.50 tff(21011,plain,
% 39.09/25.50 (~v123(constB174, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20905, 21010])).
% 39.09/25.50 tff(21012,plain,
% 39.09/25.50 ((~v84(constB174, bitIndex0)) | (~v94(constB174))),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20912, 683, 21011])).
% 39.09/25.50 tff(21013,plain,
% 39.09/25.50 (~v84(constB174, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[21012, 20741])).
% 39.09/25.50 tff(21014,plain,
% 39.09/25.50 (~v84(constB175, bitIndex0)),
% 39.09/25.50 inference(unit_resolution,[status(thm)],[20922, 21013])).
% 39.09/25.50 tff(21015,plain,
% 39.09/25.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB175, bitIndex0) | (~nextState(constB175, constB176)) | v94(constB176) | (~v84(constB176, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB175, bitIndex0) | (~nextState(constB175, constB176)) | v94(constB176) | (~v84(constB176, bitIndex0)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.50 tff(21016,plain,
% 39.09/25.50 (((~nextState(constB175, constB176)) | v84(constB175, bitIndex0) | v94(constB176) | (~v84(constB176, bitIndex0))) <=> (v84(constB175, bitIndex0) | (~nextState(constB175, constB176)) | v94(constB176) | (~v84(constB176, bitIndex0)))),
% 39.09/25.50 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21017,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v84(constB175, bitIndex0) | v94(constB176) | (~v84(constB176, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB175, bitIndex0) | (~nextState(constB175, constB176)) | v94(constB176) | (~v84(constB176, bitIndex0))))),
% 39.09/25.51 inference(monotonicity,[status(thm)],[21016])).
% 39.09/25.51 tff(21018,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v84(constB175, bitIndex0) | v94(constB176) | (~v84(constB176, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB175, bitIndex0) | (~nextState(constB175, constB176)) | v94(constB176) | (~v84(constB176, bitIndex0)))),
% 39.09/25.51 inference(transitivity,[status(thm)],[21017, 21015])).
% 39.09/25.51 tff(21019,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v84(constB175, bitIndex0) | v94(constB176) | (~v84(constB176, bitIndex0)))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21020,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB175, bitIndex0) | (~nextState(constB175, constB176)) | v94(constB176) | (~v84(constB176, bitIndex0))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21019, 21018])).
% 39.09/25.51 tff(21021,plain,
% 39.09/25.51 (v84(constB175, bitIndex0) | v94(constB176) | (~v84(constB176, bitIndex0))),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21020, 249, 20864])).
% 39.09/25.51 tff(21022,plain,
% 39.09/25.51 (v94(constB176)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21021, 21014, 21008])).
% 39.09/25.51 tff(21023,plain,
% 39.09/25.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21024,plain,
% 39.09/25.51 (((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1)) <=> ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21025,plain,
% 39.09/25.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176))))),
% 39.09/25.51 inference(monotonicity,[status(thm)],[21024])).
% 39.09/25.51 tff(21026,plain,
% 39.09/25.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 39.09/25.51 inference(transitivity,[status(thm)],[21025, 21023])).
% 39.09/25.51 tff(21027,plain,
% 39.09/25.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21028,plain,
% 39.09/25.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21027, 21026])).
% 39.09/25.51 tff(21029,plain,
% 39.09/25.51 ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21028, 609, 21022])).
% 39.09/25.51 tff(21030,plain,
% 39.09/25.51 (~v84(constB176, bitIndex1)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21029, 20869])).
% 39.09/25.51 tff(21031,plain,
% 39.09/25.51 ((~v1(constB177)) <=> (~v1(constB177))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21032,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 39.09/25.51 tff(21033,plain,
% 39.09/25.51 (~v1(constB177)),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21032, 21031])).
% 39.09/25.51 tff(21034,plain,
% 39.09/25.51 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21035,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 39.09/25.51 tff(21036,plain,
% 39.09/25.51 (nextState(constB176, constB177)),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21035, 21034])).
% 39.09/25.51 tff(21037,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21038,plain,
% 39.09/25.51 (((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21039,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177))))),
% 39.09/25.51 inference(monotonicity,[status(thm)],[21038])).
% 39.09/25.51 tff(21040,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 39.09/25.51 inference(transitivity,[status(thm)],[21039, 21037])).
% 39.09/25.51 tff(21041,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21042,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21041, 21040])).
% 39.09/25.51 tff(21043,plain,
% 39.09/25.51 (~v95(constB177)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21042, 175, 21036, 21033])).
% 39.09/25.51 tff(21044,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21045,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21046,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21045, 21044])).
% 39.09/25.51 tff(21047,plain,
% 39.09/25.51 (v95(constB177) | (~v94(constB177))),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21046, 192, 21036])).
% 39.09/25.51 tff(21048,plain,
% 39.09/25.51 (~v94(constB177)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21047, 21043])).
% 39.09/25.51 tff(21049,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21050,plain,
% 39.09/25.51 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1))) <=> (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21051,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1))))),
% 39.09/25.51 inference(monotonicity,[status(thm)],[21050])).
% 39.09/25.51 tff(21052,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 39.09/25.51 inference(transitivity,[status(thm)],[21051, 21049])).
% 39.09/25.51 tff(21053,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21054,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21053, 21052])).
% 39.09/25.51 tff(21055,plain,
% 39.09/25.51 (v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1))),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21054, 228, 21036])).
% 39.09/25.51 tff(21056,plain,
% 39.09/25.51 (v84(constB176, bitIndex1) | (~v84(constB177, bitIndex1))),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21055, 21048])).
% 39.09/25.51 tff(21057,plain,
% 39.09/25.51 (~v84(constB177, bitIndex1)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21056, 21030])).
% 39.09/25.51 tff(21058,plain,
% 39.09/25.51 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21059,plain,
% 39.09/25.51 ((v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex2))) <=> (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21060,plain,
% 39.09/25.51 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2))))),
% 39.09/25.51 inference(monotonicity,[status(thm)],[21059])).
% 39.09/25.51 tff(21061,plain,
% 39.09/25.51 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2)))),
% 39.09/25.51 inference(transitivity,[status(thm)],[21060, 21058])).
% 39.09/25.51 tff(21062,plain,
% 39.09/25.51 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex2)))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21063,plain,
% 39.09/25.51 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex2))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21062, 21061])).
% 39.09/25.51 tff(21064,plain,
% 39.09/25.51 (~v124(constB175, bitIndex2)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21063, 1130, 20842, 20838, 20834, 20830, 20795, 20791])).
% 39.09/25.51 tff(21065,plain,
% 39.09/25.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21066,plain,
% 39.09/25.51 ((v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2))) <=> ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21067,plain,
% 39.09/25.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2)))),
% 39.09/25.51 inference(monotonicity,[status(thm)],[21066])).
% 39.09/25.51 tff(21068,plain,
% 39.09/25.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 39.09/25.51 inference(transitivity,[status(thm)],[21067, 21065])).
% 39.09/25.51 tff(21069,plain,
% 39.09/25.51 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21070,plain,
% 39.09/25.51 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2)),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21069, 21068])).
% 39.09/25.51 tff(21071,plain,
% 39.09/25.51 ((~v121(constB175, bitIndex2)) | v124(constB175, bitIndex2)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21070, 1147, 20853])).
% 39.09/25.51 tff(21072,plain,
% 39.09/25.51 (~v121(constB175, bitIndex2)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21071, 21064])).
% 39.09/25.51 tff(21073,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21074,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21075,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21074, 21073])).
% 39.09/25.51 tff(21076,plain,
% 39.09/25.51 (v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2))),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21075, 1165, 20864])).
% 39.09/25.51 tff(21077,plain,
% 39.09/25.51 (~v123(constB176, bitIndex2)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21076, 21072])).
% 39.09/25.51 tff(21078,plain,
% 39.09/25.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21079,plain,
% 39.09/25.51 (((~v84(constB176, bitIndex2)) | (~v94(constB176)) | v123(constB176, bitIndex2)) <=> ((~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21080,plain,
% 39.09/25.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | (~v94(constB176)) | v123(constB176, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176))))),
% 39.09/25.51 inference(monotonicity,[status(thm)],[21079])).
% 39.09/25.51 tff(21081,plain,
% 39.09/25.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | (~v94(constB176)) | v123(constB176, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))),
% 39.09/25.51 inference(transitivity,[status(thm)],[21080, 21078])).
% 39.09/25.51 tff(21082,plain,
% 39.09/25.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | (~v94(constB176)) | v123(constB176, bitIndex2))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21083,plain,
% 39.09/25.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21082, 21081])).
% 39.09/25.51 tff(21084,plain,
% 39.09/25.51 ((~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21083, 1180, 21022])).
% 39.09/25.51 tff(21085,plain,
% 39.09/25.51 (~v84(constB176, bitIndex2)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21084, 21077])).
% 39.09/25.51 tff(21086,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21087,plain,
% 39.09/25.51 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2))) <=> (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21088,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2))))),
% 39.09/25.51 inference(monotonicity,[status(thm)],[21087])).
% 39.09/25.51 tff(21089,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 39.09/25.51 inference(transitivity,[status(thm)],[21088, 21086])).
% 39.09/25.51 tff(21090,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 39.09/25.51 inference(quant_inst,[status(thm)],[])).
% 39.09/25.51 tff(21091,plain,
% 39.09/25.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2))),
% 39.09/25.51 inference(modus_ponens,[status(thm)],[21090, 21089])).
% 39.09/25.51 tff(21092,plain,
% 39.09/25.51 (v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2))),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21091, 207, 21036])).
% 39.09/25.51 tff(21093,plain,
% 39.09/25.51 (v84(constB176, bitIndex2) | (~v84(constB177, bitIndex2))),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21092, 21048])).
% 39.09/25.51 tff(21094,plain,
% 39.09/25.51 (~v84(constB177, bitIndex2)),
% 39.09/25.51 inference(unit_resolution,[status(thm)],[21093, 21085])).
% 39.09/25.51 tff(21095,plain,
% 39.09/25.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 39.09/25.51 inference(rewrite,[status(thm)],[])).
% 39.09/25.51 tff(21096,plain,
% 39.09/25.51 (((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0)) <=> ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21097,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0)))),
% 39.09/25.52 inference(monotonicity,[status(thm)],[21096])).
% 39.09/25.52 tff(21098,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 39.09/25.52 inference(transitivity,[status(thm)],[21097, 21095])).
% 39.09/25.52 tff(21099,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21100,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 39.09/25.52 tff(21101,plain,
% 39.09/25.52 ((~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21100, 1337, 21036])).
% 39.09/25.52 tff(21102,plain,
% 39.09/25.52 ((~v84(constB176, bitIndex0)) | v84(constB177, bitIndex0)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21101, 21048])).
% 39.09/25.52 tff(21103,plain,
% 39.09/25.52 (v84(constB177, bitIndex0)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21102, 21008])).
% 39.09/25.52 tff(21104,plain,
% 39.09/25.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB177, bitIndex0)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB177, bitIndex0)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21105,plain,
% 39.09/25.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB177, bitIndex0)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21106,plain,
% 39.09/25.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB177, bitIndex0)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 39.09/25.52 tff(21107,plain,
% 39.09/25.52 (v84(constB177, bitIndex1) | v84(constB177, bitIndex2) | v145(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21106, 1356, 21103])).
% 39.09/25.52 tff(21108,plain,
% 39.09/25.52 (v145(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21107, 21094, 21057])).
% 39.09/25.52 tff(21109,plain,
% 39.09/25.52 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB177)) | v124(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB177)) | v124(constB177, bitIndex1))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21110,plain,
% 39.09/25.52 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB177)) | v124(constB177, bitIndex1))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21111,plain,
% 39.09/25.52 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB177)) | v124(constB177, bitIndex1)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21110, 21109])).
% 39.09/25.52 tff(21112,plain,
% 39.09/25.52 (v124(constB177, bitIndex1)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21111, 1513, 21108])).
% 39.09/25.52 tff(21113,assumption,(v26(constB177)), introduced(assumption)).
% 39.09/25.52 tff(21114,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21115,plain,
% 39.09/25.52 ($false),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21114, 120, 21113])).
% 39.09/25.52 tff(21116,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 39.09/25.52 tff(21117,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB177) | (~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB177) | (~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21118,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB177) | (~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21119,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB177) | (~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 39.09/25.52 tff(21120,plain,
% 39.09/25.52 ((~v124(constB177, bitIndex1)) | v121(constB177, bitIndex1)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21119, 875, 21116])).
% 39.09/25.52 tff(21121,plain,
% 39.09/25.52 (v121(constB177, bitIndex1)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21120, 21112])).
% 39.09/25.52 tff(21122,plain,
% 39.09/25.52 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21123,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 39.09/25.52 tff(21124,plain,
% 39.09/25.52 (nextState(constB177, constB178)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21123, 21122])).
% 39.09/25.52 tff(21125,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21126,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21127,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21126, 21125])).
% 39.09/25.52 tff(21128,plain,
% 39.09/25.52 ((~v121(constB177, bitIndex1)) | v123(constB178, bitIndex1)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21127, 890, 21124])).
% 39.09/25.52 tff(21129,plain,
% 39.09/25.52 (v123(constB178, bitIndex1)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21128, 21121])).
% 39.09/25.52 tff(21130,assumption,(v145(constB177)), introduced(assumption)).
% 39.09/25.52 tff(21131,plain,
% 39.09/25.52 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB177)) | (~v124(constB177, bitIndex0)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21132,plain,
% 39.09/25.52 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex0)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21133,plain,
% 39.09/25.52 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB177)) | (~v124(constB177, bitIndex0))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21132, 21131])).
% 39.09/25.52 tff(21134,plain,
% 39.09/25.52 (~v124(constB177, bitIndex0)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21133, 1554, 21130])).
% 39.09/25.52 tff(21135,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21136,plain,
% 39.09/25.52 ((v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0))) <=> ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21137,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0)))),
% 39.09/25.52 inference(monotonicity,[status(thm)],[21136])).
% 39.09/25.52 tff(21138,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 39.09/25.52 inference(transitivity,[status(thm)],[21137, 21135])).
% 39.09/25.52 tff(21139,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21140,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21139, 21138])).
% 39.09/25.52 tff(21141,plain,
% 39.09/25.52 ((~v121(constB177, bitIndex0)) | v124(constB177, bitIndex0)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21140, 650, 21116])).
% 39.09/25.52 tff(21142,plain,
% 39.09/25.52 (~v121(constB177, bitIndex0)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21141, 21134])).
% 39.09/25.52 tff(21143,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21144,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21145,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21144, 21143])).
% 39.09/25.52 tff(21146,plain,
% 39.09/25.52 (v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0))),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21145, 668, 21124])).
% 39.09/25.52 tff(21147,plain,
% 39.09/25.52 (~v123(constB178, bitIndex0)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21146, 21142])).
% 39.09/25.52 tff(21148,assumption,(v84(constB178, bitIndex0)), introduced(assumption)).
% 39.09/25.52 tff(21149,plain,
% 39.09/25.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21150,plain,
% 39.09/25.52 (((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0)) <=> ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21151,plain,
% 39.09/25.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178))))),
% 39.09/25.52 inference(monotonicity,[status(thm)],[21150])).
% 39.09/25.52 tff(21152,plain,
% 39.09/25.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 39.09/25.52 inference(transitivity,[status(thm)],[21151, 21149])).
% 39.09/25.52 tff(21153,plain,
% 39.09/25.52 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21154,plain,
% 39.09/25.52 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21153, 21152])).
% 39.09/25.52 tff(21155,plain,
% 39.09/25.52 (v123(constB178, bitIndex0) | (~v94(constB178))),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21154, 683, 21148])).
% 39.09/25.52 tff(21156,plain,
% 39.09/25.52 (~v94(constB178)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21155, 21147])).
% 39.09/25.52 tff(21157,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21158,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21159,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21158, 21157])).
% 39.09/25.52 tff(21160,plain,
% 39.09/25.52 (~v98(constB178)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21159, 397, 21124, 21033])).
% 39.09/25.52 tff(21161,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21162,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21163,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB177, constB178)) | v96(constB178) | v98(constB178)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21162, 21161])).
% 39.09/25.52 tff(21164,plain,
% 39.09/25.52 (v96(constB178) | v98(constB178)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21163, 411, 21124])).
% 39.09/25.52 tff(21165,plain,
% 39.09/25.52 (v96(constB178)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21164, 21160])).
% 39.09/25.52 tff(21166,plain,
% 39.09/25.52 (v1(constB178) <=> v1(constB178)),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21167,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 39.09/25.52 tff(21168,plain,
% 39.09/25.52 (v1(constB178)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21167, 21166])).
% 39.09/25.52 tff(21169,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21170,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21171,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21170, 21169])).
% 39.09/25.52 tff(21172,plain,
% 39.09/25.52 (v95(constB178) | (~v96(constB178))),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21171, 429, 21124, 21168])).
% 39.09/25.52 tff(21173,plain,
% 39.09/25.52 (v95(constB178)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21172, 21165])).
% 39.09/25.52 tff(21174,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21175,plain,
% 39.09/25.52 (((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178)) <=> ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21176,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178))))),
% 39.09/25.52 inference(monotonicity,[status(thm)],[21175])).
% 39.09/25.52 tff(21177,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 39.09/25.52 inference(transitivity,[status(thm)],[21176, 21174])).
% 39.09/25.52 tff(21178,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21179,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 39.09/25.52 tff(21180,plain,
% 39.09/25.52 (v94(constB178) | (~v95(constB178)) | (~v104(constB178))),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21179, 444, 21124])).
% 39.09/25.52 tff(21181,plain,
% 39.09/25.52 (v94(constB178) | (~v104(constB178))),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21180, 21173])).
% 39.09/25.52 tff(21182,plain,
% 39.09/25.52 (~v104(constB178)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21181, 21156])).
% 39.09/25.52 tff(21183,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21184,plain,
% 39.09/25.52 (((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178)) <=> ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21185,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177))))),
% 39.09/25.52 inference(monotonicity,[status(thm)],[21184])).
% 39.09/25.52 tff(21186,plain,
% 39.09/25.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 39.09/25.52 inference(transitivity,[status(thm)],[21185, 21183])).
% 39.09/25.52 tff(21187,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21188,plain,
% 39.09/25.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21187, 21186])).
% 39.09/25.52 tff(21189,plain,
% 39.09/25.52 (v104(constB178) | (~v102(constB177))),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21188, 379, 21124])).
% 39.09/25.52 tff(21190,plain,
% 39.09/25.52 (~v102(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21189, 21182])).
% 39.09/25.52 tff(21191,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB177) | (~v106(constB177)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB177) | (~v106(constB177)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21192,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB177) | (~v106(constB177)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21193,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB177) | (~v106(constB177))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21192, 21191])).
% 39.09/25.52 tff(21194,plain,
% 39.09/25.52 (~v106(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21193, 362, 21190])).
% 39.09/25.52 tff(21195,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | (~v107(constB177)) | v106(constB177))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21196,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21197,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | (~v107(constB177)) | v106(constB177)),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21196, 21195])).
% 39.09/25.52 tff(21198,plain,
% 39.09/25.52 ((~v107(constB177)) | v106(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21197, 350, 21116])).
% 39.09/25.52 tff(21199,plain,
% 39.09/25.52 (~v107(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21198, 21194])).
% 39.09/25.52 tff(21200,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB177) | (~v108(constB177)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB177) | (~v108(constB177)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21201,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB177) | (~v108(constB177)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21202,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB177) | (~v108(constB177))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21201, 21200])).
% 39.09/25.52 tff(21203,plain,
% 39.09/25.52 (~v108(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21202, 336, 21199])).
% 39.09/25.52 tff(21204,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB177) | (~v145(constB177)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB177) | (~v145(constB177)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21205,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB177) | (~v145(constB177)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21206,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB177) | (~v145(constB177))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21205, 21204])).
% 39.09/25.52 tff(21207,plain,
% 39.09/25.52 (v112(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21206, 1367, 21130])).
% 39.09/25.52 tff(21208,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB177) | (~v112(constB177)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21209,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB177) | (~v112(constB177)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21210,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB177) | (~v112(constB177))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 39.09/25.52 tff(21211,plain,
% 39.09/25.52 (v111(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21210, 292, 21207])).
% 39.09/25.52 tff(21212,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB177) | (~v111(constB177)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB177) | (~v111(constB177)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21213,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB177) | (~v111(constB177)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21214,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB177) | (~v111(constB177))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21213, 21212])).
% 39.09/25.52 tff(21215,plain,
% 39.09/25.52 (v110(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21214, 303, 21211])).
% 39.09/25.52 tff(21216,plain,
% 39.09/25.52 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB177) | (~v110(constB177)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB177) | (~v110(constB177)))),
% 39.09/25.52 inference(rewrite,[status(thm)],[])).
% 39.09/25.52 tff(21217,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB177) | (~v110(constB177)))),
% 39.09/25.52 inference(quant_inst,[status(thm)],[])).
% 39.09/25.52 tff(21218,plain,
% 39.09/25.52 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB177) | (~v110(constB177))),
% 39.09/25.52 inference(modus_ponens,[status(thm)],[21217, 21216])).
% 39.09/25.52 tff(21219,plain,
% 39.09/25.52 (v109(constB177)),
% 39.09/25.52 inference(unit_resolution,[status(thm)],[21218, 314, 21215])).
% 39.09/25.53 tff(21220,plain,
% 39.09/25.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB177) | (~v109(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB177) | (~v109(constB177)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21221,plain,
% 39.09/25.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB177) | (~v109(constB177)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21222,plain,
% 39.09/25.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB177) | (~v109(constB177))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21221, 21220])).
% 39.09/25.53 tff(21223,plain,
% 39.09/25.53 ($false),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21222, 325, 21219, 21203])).
% 39.09/25.53 tff(21224,plain,((~v145(constB177)) | (~v84(constB178, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 39.09/25.53 tff(21225,plain,
% 39.09/25.53 (~v84(constB178, bitIndex0)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21224, 21108])).
% 39.09/25.53 tff(21226,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex0))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21227,plain,
% 39.09/25.53 (((~nextState(constB177, constB178)) | (~v84(constB177, bitIndex0)) | v94(constB178) | v84(constB178, bitIndex0)) <=> ((~v84(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex0))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21228,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v84(constB177, bitIndex0)) | v94(constB178) | v84(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex0)))),
% 39.09/25.53 inference(monotonicity,[status(thm)],[21227])).
% 39.09/25.53 tff(21229,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v84(constB177, bitIndex0)) | v94(constB178) | v84(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex0))),
% 39.09/25.53 inference(transitivity,[status(thm)],[21228, 21226])).
% 39.09/25.53 tff(21230,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v84(constB177, bitIndex0)) | v94(constB178) | v84(constB178, bitIndex0))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21231,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB177, bitIndex0)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex0)),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21230, 21229])).
% 39.09/25.53 tff(21232,plain,
% 39.09/25.53 ((~v84(constB177, bitIndex0)) | v94(constB178) | v84(constB178, bitIndex0)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21231, 1337, 21124])).
% 39.09/25.53 tff(21233,plain,
% 39.09/25.53 (v94(constB178)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21232, 21225, 21103])).
% 39.09/25.53 tff(21234,plain,
% 39.09/25.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21235,plain,
% 39.09/25.53 ((v84(constB178, bitIndex1) | (~v94(constB178)) | (~v123(constB178, bitIndex1))) <=> (v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21236,plain,
% 39.09/25.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v94(constB178)) | (~v123(constB178, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178))))),
% 39.09/25.53 inference(monotonicity,[status(thm)],[21235])).
% 39.09/25.53 tff(21237,plain,
% 39.09/25.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v94(constB178)) | (~v123(constB178, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178)))),
% 39.09/25.53 inference(transitivity,[status(thm)],[21236, 21234])).
% 39.09/25.53 tff(21238,plain,
% 39.09/25.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~v94(constB178)) | (~v123(constB178, bitIndex1)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21239,plain,
% 39.09/25.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1)) | (~v94(constB178))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21238, 21237])).
% 39.09/25.53 tff(21240,plain,
% 39.09/25.53 (v84(constB178, bitIndex1) | (~v123(constB178, bitIndex1))),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21239, 905, 21233])).
% 39.09/25.53 tff(21241,plain,
% 39.09/25.53 (v84(constB178, bitIndex1)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21240, 21129])).
% 39.09/25.53 tff(21242,plain,
% 39.09/25.53 ((~v1(constB179)) <=> (~v1(constB179))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21243,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 39.09/25.53 tff(21244,plain,
% 39.09/25.53 (~v1(constB179)),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21243, 21242])).
% 39.09/25.53 tff(21245,plain,
% 39.09/25.53 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21246,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 39.09/25.53 tff(21247,plain,
% 39.09/25.53 (nextState(constB178, constB179)),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21246, 21245])).
% 39.09/25.53 tff(21248,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21249,plain,
% 39.09/25.53 (((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21250,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179))))),
% 39.09/25.53 inference(monotonicity,[status(thm)],[21249])).
% 39.09/25.53 tff(21251,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 39.09/25.53 inference(transitivity,[status(thm)],[21250, 21248])).
% 39.09/25.53 tff(21252,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21253,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21252, 21251])).
% 39.09/25.53 tff(21254,plain,
% 39.09/25.53 (~v95(constB179)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21253, 175, 21247, 21244])).
% 39.09/25.53 tff(21255,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21256,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21257,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21256, 21255])).
% 39.09/25.53 tff(21258,plain,
% 39.09/25.53 (v95(constB179) | (~v94(constB179))),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21257, 192, 21247])).
% 39.09/25.53 tff(21259,plain,
% 39.09/25.53 (~v94(constB179)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21258, 21254])).
% 39.09/25.53 tff(21260,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21261,plain,
% 39.09/25.53 (((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1)) <=> ((~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21262,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1)))),
% 39.09/25.53 inference(monotonicity,[status(thm)],[21261])).
% 39.09/25.53 tff(21263,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1))),
% 39.09/25.53 inference(transitivity,[status(thm)],[21262, 21260])).
% 39.09/25.53 tff(21264,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21265,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex1)),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 39.09/25.53 tff(21266,plain,
% 39.09/25.53 ((~v84(constB178, bitIndex1)) | v94(constB179) | v84(constB179, bitIndex1)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21265, 923, 21247])).
% 39.09/25.53 tff(21267,plain,
% 39.09/25.53 ((~v84(constB178, bitIndex1)) | v84(constB179, bitIndex1)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21266, 21259])).
% 39.09/25.53 tff(21268,plain,
% 39.09/25.53 (v84(constB179, bitIndex1)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21267, 21241])).
% 39.09/25.53 tff(21269,plain,
% 39.09/25.53 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB177)) | (~v124(constB177, bitIndex2)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21270,plain,
% 39.09/25.53 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex2)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21271,plain,
% 39.09/25.53 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB177)) | (~v124(constB177, bitIndex2))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21270, 21269])).
% 39.09/25.53 tff(21272,plain,
% 39.09/25.53 (~v124(constB177, bitIndex2)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21271, 1451, 21108])).
% 39.09/25.53 tff(21273,plain,
% 39.09/25.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21274,plain,
% 39.09/25.53 ((v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2))) <=> ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21275,plain,
% 39.09/25.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2)))),
% 39.09/25.53 inference(monotonicity,[status(thm)],[21274])).
% 39.09/25.53 tff(21276,plain,
% 39.09/25.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 39.09/25.53 inference(transitivity,[status(thm)],[21275, 21273])).
% 39.09/25.53 tff(21277,plain,
% 39.09/25.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21278,plain,
% 39.09/25.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2)),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21277, 21276])).
% 39.09/25.53 tff(21279,plain,
% 39.09/25.53 ((~v121(constB177, bitIndex2)) | v124(constB177, bitIndex2)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21278, 1147, 21116])).
% 39.09/25.53 tff(21280,plain,
% 39.09/25.53 (~v121(constB177, bitIndex2)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21279, 21272])).
% 39.09/25.53 tff(21281,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21282,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21283,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21282, 21281])).
% 39.09/25.53 tff(21284,plain,
% 39.09/25.53 (v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2))),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21283, 1165, 21124])).
% 39.09/25.53 tff(21285,plain,
% 39.09/25.53 (~v123(constB178, bitIndex2)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21284, 21280])).
% 39.09/25.53 tff(21286,plain,
% 39.09/25.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21287,plain,
% 39.09/25.53 (((~v84(constB178, bitIndex2)) | (~v94(constB178)) | v123(constB178, bitIndex2)) <=> ((~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21288,plain,
% 39.09/25.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | (~v94(constB178)) | v123(constB178, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178))))),
% 39.09/25.53 inference(monotonicity,[status(thm)],[21287])).
% 39.09/25.53 tff(21289,plain,
% 39.09/25.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | (~v94(constB178)) | v123(constB178, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))),
% 39.09/25.53 inference(transitivity,[status(thm)],[21288, 21286])).
% 39.09/25.53 tff(21290,plain,
% 39.09/25.53 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | (~v94(constB178)) | v123(constB178, bitIndex2))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21291,plain,
% 39.09/25.53 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21290, 21289])).
% 39.09/25.53 tff(21292,plain,
% 39.09/25.53 ((~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21291, 1180, 21233])).
% 39.09/25.53 tff(21293,plain,
% 39.09/25.53 (~v84(constB178, bitIndex2)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21292, 21285])).
% 39.09/25.53 tff(21294,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21295,plain,
% 39.09/25.53 (((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2))) <=> (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21296,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2))))),
% 39.09/25.53 inference(monotonicity,[status(thm)],[21295])).
% 39.09/25.53 tff(21297,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 39.09/25.53 inference(transitivity,[status(thm)],[21296, 21294])).
% 39.09/25.53 tff(21298,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21299,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21298, 21297])).
% 39.09/25.53 tff(21300,plain,
% 39.09/25.53 (v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2))),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21299, 207, 21247])).
% 39.09/25.53 tff(21301,plain,
% 39.09/25.53 (v84(constB178, bitIndex2) | (~v84(constB179, bitIndex2))),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21300, 21259])).
% 39.09/25.53 tff(21302,plain,
% 39.09/25.53 (~v84(constB179, bitIndex2)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21301, 21293])).
% 39.09/25.53 tff(21303,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21304,plain,
% 39.09/25.53 (((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0))) <=> (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21305,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0))))),
% 39.09/25.53 inference(monotonicity,[status(thm)],[21304])).
% 39.09/25.53 tff(21306,plain,
% 39.09/25.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 39.09/25.53 inference(transitivity,[status(thm)],[21305, 21303])).
% 39.09/25.53 tff(21307,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21308,plain,
% 39.09/25.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21307, 21306])).
% 39.09/25.53 tff(21309,plain,
% 39.09/25.53 (v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0))),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21308, 249, 21247])).
% 39.09/25.53 tff(21310,plain,
% 39.09/25.53 (v84(constB178, bitIndex0) | (~v84(constB179, bitIndex0))),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21309, 21259])).
% 39.09/25.53 tff(21311,plain,
% 39.09/25.53 (~v84(constB179, bitIndex0)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21310, 21225])).
% 39.09/25.53 tff(21312,plain,
% 39.09/25.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21313,plain,
% 39.09/25.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21314,plain,
% 39.09/25.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179)),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 39.09/25.53 tff(21315,plain,
% 39.09/25.53 ((~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21314, 1598, 21311])).
% 39.09/25.53 tff(21316,plain,
% 39.09/25.53 (v115(constB179)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21315, 21302, 21268])).
% 39.09/25.53 tff(21317,plain,
% 39.09/25.53 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB179) | (~v115(constB179)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB179) | (~v115(constB179)))),
% 39.09/25.53 inference(rewrite,[status(thm)],[])).
% 39.09/25.53 tff(21318,plain,
% 39.09/25.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB179) | (~v115(constB179)))),
% 39.09/25.53 inference(quant_inst,[status(thm)],[])).
% 39.09/25.53 tff(21319,plain,
% 39.09/25.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB179) | (~v115(constB179))),
% 39.09/25.53 inference(modus_ponens,[status(thm)],[21318, 21317])).
% 39.09/25.53 tff(21320,plain,
% 39.09/25.53 (v111(constB179)),
% 39.09/25.53 inference(unit_resolution,[status(thm)],[21319, 1609, 21316])).
% 39.09/25.53 tff(21321,plain,
% 39.09/25.53 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB179) | (~v111(constB179)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB179) | (~v111(constB179)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21322,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB179) | (~v111(constB179)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21323,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB179) | (~v111(constB179))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21322, 21321])).
% 39.09/25.54 tff(21324,plain,
% 39.09/25.54 (v110(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21323, 303, 21320])).
% 39.09/25.54 tff(21325,plain,
% 39.09/25.54 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB179) | (~v110(constB179)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB179) | (~v110(constB179)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21326,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB179) | (~v110(constB179)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21327,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB179) | (~v110(constB179))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21326, 21325])).
% 39.09/25.54 tff(21328,plain,
% 39.09/25.54 (v109(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21327, 314, 21324])).
% 39.09/25.54 tff(21329,plain,
% 39.09/25.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB179) | (~v109(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB179) | (~v109(constB179)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21330,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB179) | (~v109(constB179)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21331,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB179) | (~v109(constB179))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21330, 21329])).
% 39.09/25.54 tff(21332,plain,
% 39.09/25.54 (v108(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21331, 325, 21328])).
% 39.09/25.54 tff(21333,plain,
% 39.09/25.54 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB179) | (~v108(constB179)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB179) | (~v108(constB179)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21334,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB179) | (~v108(constB179)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21335,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB179) | (~v108(constB179))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21334, 21333])).
% 39.09/25.54 tff(21336,plain,
% 39.09/25.54 (v107(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21335, 336, 21332])).
% 39.09/25.54 tff(21337,assumption,(v26(constB179)), introduced(assumption)).
% 39.09/25.54 tff(21338,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21339,plain,
% 39.09/25.54 ($false),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21338, 120, 21337])).
% 39.09/25.54 tff(21340,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 39.09/25.54 tff(21341,plain,
% 39.09/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | (~v107(constB179)) | v106(constB179))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21342,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21343,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | (~v107(constB179)) | v106(constB179)),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21342, 21341])).
% 39.09/25.54 tff(21344,plain,
% 39.09/25.54 ((~v107(constB179)) | v106(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21343, 350, 21340])).
% 39.09/25.54 tff(21345,plain,
% 39.09/25.54 (v106(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21344, 21336])).
% 39.09/25.54 tff(21346,plain,
% 39.09/25.54 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB179) | (~v106(constB179)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB179) | (~v106(constB179)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21347,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB179) | (~v106(constB179)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21348,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB179) | (~v106(constB179))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21347, 21346])).
% 39.09/25.54 tff(21349,plain,
% 39.09/25.54 (v102(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21348, 362, 21345])).
% 39.09/25.54 tff(21350,plain,
% 39.09/25.54 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21351,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 39.09/25.54 tff(21352,plain,
% 39.09/25.54 (nextState(constB179, constB180)),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21351, 21350])).
% 39.09/25.54 tff(21353,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21354,plain,
% 39.09/25.54 (((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21355,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))))),
% 39.09/25.54 inference(monotonicity,[status(thm)],[21354])).
% 39.09/25.54 tff(21356,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 39.09/25.54 inference(transitivity,[status(thm)],[21355, 21353])).
% 39.09/25.54 tff(21357,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21358,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21357, 21356])).
% 39.09/25.54 tff(21359,plain,
% 39.09/25.54 (v104(constB180) | (~v102(constB179))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21358, 379, 21352])).
% 39.09/25.54 tff(21360,plain,
% 39.09/25.54 (v104(constB180)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21359, 21349])).
% 39.09/25.54 tff(21361,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21362,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21363,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21362, 21361])).
% 39.09/25.54 tff(21364,plain,
% 39.09/25.54 (~v98(constB180)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21363, 397, 21352, 21244])).
% 39.09/25.54 tff(21365,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21366,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21367,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180)),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21366, 21365])).
% 39.09/25.54 tff(21368,plain,
% 39.09/25.54 (v96(constB180) | v98(constB180)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21367, 411, 21352])).
% 39.09/25.54 tff(21369,plain,
% 39.09/25.54 (v96(constB180)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21368, 21364])).
% 39.09/25.54 tff(21370,plain,
% 39.09/25.54 (v1(constB180) <=> v1(constB180)),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21371,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 39.09/25.54 tff(21372,plain,
% 39.09/25.54 (v1(constB180)),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21371, 21370])).
% 39.09/25.54 tff(21373,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21374,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21375,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 39.09/25.54 tff(21376,plain,
% 39.09/25.54 (v95(constB180) | (~v96(constB180))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21375, 429, 21352, 21372])).
% 39.09/25.54 tff(21377,plain,
% 39.09/25.54 (v95(constB180)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21376, 21369])).
% 39.09/25.54 tff(21378,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21379,plain,
% 39.09/25.54 (((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180)) <=> ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21380,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180))))),
% 39.09/25.54 inference(monotonicity,[status(thm)],[21379])).
% 39.09/25.54 tff(21381,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 39.09/25.54 inference(transitivity,[status(thm)],[21380, 21378])).
% 39.09/25.54 tff(21382,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21383,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21382, 21381])).
% 39.09/25.54 tff(21384,plain,
% 39.09/25.54 (v94(constB180) | (~v95(constB180)) | (~v104(constB180))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21383, 444, 21352])).
% 39.09/25.54 tff(21385,plain,
% 39.09/25.54 (v94(constB180) | (~v104(constB180))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21384, 21377])).
% 39.09/25.54 tff(21386,plain,
% 39.09/25.54 (v94(constB180)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21385, 21360])).
% 39.09/25.54 tff(21387,plain,
% 39.09/25.54 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB179)) | (~v124(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21388,plain,
% 39.09/25.54 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21389,plain,
% 39.09/25.54 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB179)) | (~v124(constB179, bitIndex2))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21388, 21387])).
% 39.09/25.54 tff(21390,plain,
% 39.09/25.54 (~v124(constB179, bitIndex2)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21389, 1688, 21316])).
% 39.09/25.54 tff(21391,plain,
% 39.09/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21392,plain,
% 39.09/25.54 ((v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2))) <=> ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21393,plain,
% 39.09/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2)))),
% 39.09/25.54 inference(monotonicity,[status(thm)],[21392])).
% 39.09/25.54 tff(21394,plain,
% 39.09/25.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 39.09/25.54 inference(transitivity,[status(thm)],[21393, 21391])).
% 39.09/25.54 tff(21395,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21396,plain,
% 39.09/25.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2)),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21395, 21394])).
% 39.09/25.54 tff(21397,plain,
% 39.09/25.54 ((~v121(constB179, bitIndex2)) | v124(constB179, bitIndex2)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21396, 1147, 21340])).
% 39.09/25.54 tff(21398,plain,
% 39.09/25.54 (~v121(constB179, bitIndex2)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21397, 21390])).
% 39.09/25.54 tff(21399,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21400,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21401,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21400, 21399])).
% 39.09/25.54 tff(21402,plain,
% 39.09/25.54 (v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21401, 1165, 21352])).
% 39.09/25.54 tff(21403,plain,
% 39.09/25.54 (~v123(constB180, bitIndex2)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21402, 21398])).
% 39.09/25.54 tff(21404,plain,
% 39.09/25.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21405,plain,
% 39.09/25.54 (((~v84(constB180, bitIndex2)) | (~v94(constB180)) | v123(constB180, bitIndex2)) <=> ((~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21406,plain,
% 39.09/25.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | (~v94(constB180)) | v123(constB180, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180))))),
% 39.09/25.54 inference(monotonicity,[status(thm)],[21405])).
% 39.09/25.54 tff(21407,plain,
% 39.09/25.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | (~v94(constB180)) | v123(constB180, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))),
% 39.09/25.54 inference(transitivity,[status(thm)],[21406, 21404])).
% 39.09/25.54 tff(21408,plain,
% 39.09/25.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | (~v94(constB180)) | v123(constB180, bitIndex2))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21409,plain,
% 39.09/25.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21408, 21407])).
% 39.09/25.54 tff(21410,plain,
% 39.09/25.54 ((~v84(constB180, bitIndex2)) | (~v94(constB180))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21409, 1180, 21403])).
% 39.09/25.54 tff(21411,plain,
% 39.09/25.54 (~v84(constB180, bitIndex2)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21410, 21386])).
% 39.09/25.54 tff(21412,plain,
% 39.09/25.54 ((~v1(constB181)) <=> (~v1(constB181))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21413,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 39.09/25.54 tff(21414,plain,
% 39.09/25.54 (~v1(constB181)),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21413, 21412])).
% 39.09/25.54 tff(21415,plain,
% 39.09/25.54 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21416,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 39.09/25.54 tff(21417,plain,
% 39.09/25.54 (nextState(constB180, constB181)),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21416, 21415])).
% 39.09/25.54 tff(21418,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21419,plain,
% 39.09/25.54 (((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21420,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))))),
% 39.09/25.54 inference(monotonicity,[status(thm)],[21419])).
% 39.09/25.54 tff(21421,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 39.09/25.54 inference(transitivity,[status(thm)],[21420, 21418])).
% 39.09/25.54 tff(21422,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21423,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21422, 21421])).
% 39.09/25.54 tff(21424,plain,
% 39.09/25.54 (~v95(constB181)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21423, 175, 21417, 21414])).
% 39.09/25.54 tff(21425,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21426,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21427,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21426, 21425])).
% 39.09/25.54 tff(21428,plain,
% 39.09/25.54 (v95(constB181) | (~v94(constB181))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21427, 192, 21417])).
% 39.09/25.54 tff(21429,plain,
% 39.09/25.54 (~v94(constB181)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21428, 21424])).
% 39.09/25.54 tff(21430,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21431,plain,
% 39.09/25.54 (((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2))) <=> (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 39.09/25.54 inference(rewrite,[status(thm)],[])).
% 39.09/25.54 tff(21432,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2))))),
% 39.09/25.54 inference(monotonicity,[status(thm)],[21431])).
% 39.09/25.54 tff(21433,plain,
% 39.09/25.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 39.09/25.54 inference(transitivity,[status(thm)],[21432, 21430])).
% 39.09/25.54 tff(21434,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 39.09/25.54 inference(quant_inst,[status(thm)],[])).
% 39.09/25.54 tff(21435,plain,
% 39.09/25.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2))),
% 39.09/25.54 inference(modus_ponens,[status(thm)],[21434, 21433])).
% 39.09/25.54 tff(21436,plain,
% 39.09/25.54 (v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21435, 207, 21417])).
% 39.09/25.54 tff(21437,plain,
% 39.09/25.54 (v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2))),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21436, 21429])).
% 39.09/25.54 tff(21438,plain,
% 39.09/25.54 (~v84(constB181, bitIndex2)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21437, 21411])).
% 39.09/25.54 tff(21439,assumption,(~v84(constB181, bitIndex2)), introduced(assumption)).
% 39.09/25.54 tff(21440,assumption,(v115(constB179)), introduced(assumption)).
% 39.09/25.54 tff(21441,plain,
% 39.09/25.54 (v111(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21319, 1609, 21440])).
% 39.09/25.54 tff(21442,plain,
% 39.09/25.54 (v110(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21323, 303, 21441])).
% 39.09/25.54 tff(21443,plain,
% 39.09/25.54 (v109(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21327, 314, 21442])).
% 39.09/25.54 tff(21444,plain,
% 39.09/25.54 (v108(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21331, 325, 21443])).
% 39.09/25.54 tff(21445,plain,
% 39.09/25.54 (v107(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21335, 336, 21444])).
% 39.09/25.54 tff(21446,plain,
% 39.09/25.54 (v106(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21344, 21445])).
% 39.09/25.54 tff(21447,plain,
% 39.09/25.54 (v102(constB179)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21348, 362, 21446])).
% 39.09/25.54 tff(21448,plain,
% 39.09/25.54 (v104(constB180)),
% 39.09/25.54 inference(unit_resolution,[status(thm)],[21359, 21447])).
% 39.09/25.54 tff(21449,plain,
% 39.09/25.55 (v94(constB180)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21385, 21448])).
% 39.09/25.55 tff(21450,plain,
% 39.09/25.55 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB179)) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB179)) | v124(constB179, bitIndex0))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21451,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB179)) | v124(constB179, bitIndex0))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21452,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB179)) | v124(constB179, bitIndex0)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 39.09/25.55 tff(21453,plain,
% 39.09/25.55 (v124(constB179, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21452, 1791, 21440])).
% 39.09/25.55 tff(21454,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21455,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21456,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21455, 21454])).
% 39.09/25.55 tff(21457,plain,
% 39.09/25.55 ((~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21456, 1289, 21340])).
% 39.09/25.55 tff(21458,plain,
% 39.09/25.55 (v121(constB179, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21457, 21453])).
% 39.09/25.55 tff(21459,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21460,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21461,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21460, 21459])).
% 39.09/25.55 tff(21462,plain,
% 39.09/25.55 ((~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21461, 1304, 21352])).
% 39.09/25.55 tff(21463,plain,
% 39.09/25.55 (v123(constB180, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21462, 21458])).
% 39.09/25.55 tff(21464,plain,
% 39.09/25.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21465,plain,
% 39.09/25.55 ((v84(constB180, bitIndex0) | (~v94(constB180)) | (~v123(constB180, bitIndex0))) <=> (v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21466,plain,
% 39.09/25.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v94(constB180)) | (~v123(constB180, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180))))),
% 39.09/25.55 inference(monotonicity,[status(thm)],[21465])).
% 39.09/25.55 tff(21467,plain,
% 39.09/25.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v94(constB180)) | (~v123(constB180, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180)))),
% 39.09/25.55 inference(transitivity,[status(thm)],[21466, 21464])).
% 39.09/25.55 tff(21468,plain,
% 39.09/25.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~v94(constB180)) | (~v123(constB180, bitIndex0)))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21469,plain,
% 39.09/25.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)) | (~v94(constB180))),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21468, 21467])).
% 39.09/25.55 tff(21470,plain,
% 39.09/25.55 (v84(constB180, bitIndex0) | (~v94(constB180))),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21469, 1319, 21463])).
% 39.09/25.55 tff(21471,plain,
% 39.09/25.55 (v84(constB180, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21470, 21449])).
% 39.09/25.55 tff(21472,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21473,plain,
% 39.09/25.55 (((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0)) <=> ((~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21474,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0)))),
% 39.09/25.55 inference(monotonicity,[status(thm)],[21473])).
% 39.09/25.55 tff(21475,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0))),
% 39.09/25.55 inference(transitivity,[status(thm)],[21474, 21472])).
% 39.09/25.55 tff(21476,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21477,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex0)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21476, 21475])).
% 39.09/25.55 tff(21478,plain,
% 39.09/25.55 ((~v84(constB180, bitIndex0)) | v94(constB181) | v84(constB181, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21477, 1337, 21417])).
% 39.09/25.55 tff(21479,plain,
% 39.09/25.55 ((~v84(constB180, bitIndex0)) | v84(constB181, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21478, 21429])).
% 39.09/25.55 tff(21480,plain,
% 39.09/25.55 (v84(constB181, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21479, 21471])).
% 39.09/25.55 tff(21481,plain,
% 39.09/25.55 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB179)) | v124(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB179)) | v124(constB179, bitIndex1))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21482,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB179)) | v124(constB179, bitIndex1))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21483,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB179)) | v124(constB179, bitIndex1)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21482, 21481])).
% 39.09/25.55 tff(21484,plain,
% 39.09/25.55 (v124(constB179, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21483, 1750, 21440])).
% 39.09/25.55 tff(21485,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21486,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21487,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21486, 21485])).
% 39.09/25.55 tff(21488,plain,
% 39.09/25.55 ((~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21487, 875, 21340])).
% 39.09/25.55 tff(21489,plain,
% 39.09/25.55 (v121(constB179, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21488, 21484])).
% 39.09/25.55 tff(21490,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21491,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21492,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21491, 21490])).
% 39.09/25.55 tff(21493,plain,
% 39.09/25.55 ((~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21492, 890, 21352])).
% 39.09/25.55 tff(21494,plain,
% 39.09/25.55 (v123(constB180, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21493, 21489])).
% 39.09/25.55 tff(21495,plain,
% 39.09/25.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21496,plain,
% 39.09/25.55 ((v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1))) <=> (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21497,plain,
% 39.09/25.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180))))),
% 39.09/25.55 inference(monotonicity,[status(thm)],[21496])).
% 39.09/25.55 tff(21498,plain,
% 39.09/25.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 39.09/25.55 inference(transitivity,[status(thm)],[21497, 21495])).
% 39.09/25.55 tff(21499,plain,
% 39.09/25.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21500,plain,
% 39.09/25.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180))),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21499, 21498])).
% 39.09/25.55 tff(21501,plain,
% 39.09/25.55 (v84(constB180, bitIndex1) | (~v94(constB180))),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21500, 905, 21494])).
% 39.09/25.55 tff(21502,plain,
% 39.09/25.55 (v84(constB180, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21501, 21449])).
% 39.09/25.55 tff(21503,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21504,plain,
% 39.09/25.55 (((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1)) <=> ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21505,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1)))),
% 39.09/25.55 inference(monotonicity,[status(thm)],[21504])).
% 39.09/25.55 tff(21506,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 39.09/25.55 inference(transitivity,[status(thm)],[21505, 21503])).
% 39.09/25.55 tff(21507,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21508,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21507, 21506])).
% 39.09/25.55 tff(21509,plain,
% 39.09/25.55 ((~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21508, 923, 21417])).
% 39.09/25.55 tff(21510,plain,
% 39.09/25.55 ((~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21509, 21429])).
% 39.09/25.55 tff(21511,plain,
% 39.09/25.55 (v84(constB181, bitIndex1)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21510, 21502])).
% 39.09/25.55 tff(21512,assumption,(~v116(constB181)), introduced(assumption)).
% 39.09/25.55 tff(21513,plain,
% 39.09/25.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21514,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21515,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21514, 21513])).
% 39.09/25.55 tff(21516,plain,
% 39.09/25.55 ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21515, 1832, 21512])).
% 39.09/25.55 tff(21517,plain,
% 39.09/25.55 ($false),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21516, 21511, 21480, 21439])).
% 39.09/25.55 tff(21518,plain,((~v115(constB179)) | v84(constB181, bitIndex2) | v116(constB181)), inference(lemma,lemma(discharge,[]))).
% 39.09/25.55 tff(21519,plain,
% 39.09/25.55 (v116(constB181)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21518, 21438, 21316])).
% 39.09/25.55 tff(21520,plain,
% 39.09/25.55 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB181)) | (~v124(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB181)) | (~v124(constB181, bitIndex0)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21521,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB181)) | (~v124(constB181, bitIndex0)))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21522,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB181)) | (~v124(constB181, bitIndex0))),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21521, 21520])).
% 39.09/25.55 tff(21523,plain,
% 39.09/25.55 (~v124(constB181, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21522, 2021, 21519])).
% 39.09/25.55 tff(21524,assumption,(v26(constB181)), introduced(assumption)).
% 39.09/25.55 tff(21525,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21526,plain,
% 39.09/25.55 ($false),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21525, 120, 21524])).
% 39.09/25.55 tff(21527,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 39.09/25.55 tff(21528,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21529,plain,
% 39.09/25.55 ((v26(constB181) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0))) <=> ((~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21530,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB181) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0)))),
% 39.09/25.55 inference(monotonicity,[status(thm)],[21529])).
% 39.09/25.55 tff(21531,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB181) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0))),
% 39.09/25.55 inference(transitivity,[status(thm)],[21530, 21528])).
% 39.09/25.55 tff(21532,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB181) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21533,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB181, bitIndex0)) | v26(constB181) | v124(constB181, bitIndex0)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21532, 21531])).
% 39.09/25.55 tff(21534,plain,
% 39.09/25.55 ((~v121(constB181, bitIndex0)) | v124(constB181, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21533, 650, 21527])).
% 39.09/25.55 tff(21535,plain,
% 39.09/25.55 (~v121(constB181, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21534, 21523])).
% 39.09/25.55 tff(21536,plain,
% 39.09/25.55 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21537,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 39.09/25.55 tff(21538,plain,
% 39.09/25.55 (nextState(constB181, constB182)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 39.09/25.55 tff(21539,plain,
% 39.09/25.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21540,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0)))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21541,plain,
% 39.09/25.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0))),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21540, 21539])).
% 39.09/25.55 tff(21542,plain,
% 39.09/25.55 (v121(constB181, bitIndex0) | (~v123(constB182, bitIndex0))),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21541, 668, 21538])).
% 39.09/25.55 tff(21543,plain,
% 39.09/25.55 (~v123(constB182, bitIndex0)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21542, 21535])).
% 39.09/25.55 tff(21544,assumption,(v116(constB181)), introduced(assumption)).
% 39.09/25.55 tff(21545,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB181) | (~v116(constB181)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21546,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB181) | (~v116(constB181)))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21547,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB181) | (~v116(constB181))),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21546, 21545])).
% 39.09/25.55 tff(21548,plain,
% 39.09/25.55 (v110(constB181)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21547, 1843, 21544])).
% 39.09/25.55 tff(21549,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB181) | (~v110(constB181)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB181) | (~v110(constB181)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21550,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB181) | (~v110(constB181)))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21551,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB181) | (~v110(constB181))),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21550, 21549])).
% 39.09/25.55 tff(21552,plain,
% 39.09/25.55 (v109(constB181)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21551, 314, 21548])).
% 39.09/25.55 tff(21553,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB181) | (~v109(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB181) | (~v109(constB181)))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21554,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB181) | (~v109(constB181)))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21555,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB181) | (~v109(constB181))),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21554, 21553])).
% 39.09/25.55 tff(21556,plain,
% 39.09/25.55 (v108(constB181)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21555, 325, 21552])).
% 39.09/25.55 tff(21557,plain,
% 39.09/25.55 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB181)) | v124(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB181)) | v124(constB181, bitIndex2))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21558,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB181)) | v124(constB181, bitIndex2))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21559,plain,
% 39.09/25.55 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB181)) | v124(constB181, bitIndex2)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21558, 21557])).
% 39.09/25.55 tff(21560,plain,
% 39.09/25.55 (v124(constB181, bitIndex2)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21559, 1918, 21544])).
% 39.09/25.55 tff(21561,plain,
% 39.09/25.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB181) | (~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB181) | (~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2))),
% 39.09/25.55 inference(rewrite,[status(thm)],[])).
% 39.09/25.55 tff(21562,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB181) | (~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2))),
% 39.09/25.55 inference(quant_inst,[status(thm)],[])).
% 39.09/25.55 tff(21563,plain,
% 39.09/25.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB181) | (~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2)),
% 39.09/25.55 inference(modus_ponens,[status(thm)],[21562, 21561])).
% 39.09/25.55 tff(21564,plain,
% 39.09/25.55 ((~v124(constB181, bitIndex2)) | v121(constB181, bitIndex2)),
% 39.09/25.55 inference(unit_resolution,[status(thm)],[21563, 477, 21527])).
% 39.09/25.55 tff(21565,plain,
% 39.09/25.55 (v121(constB181, bitIndex2)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21564, 21560])).
% 39.09/25.56 tff(21566,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21567,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21568,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2)),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21567, 21566])).
% 39.09/25.56 tff(21569,plain,
% 39.09/25.56 ((~v121(constB181, bitIndex2)) | v123(constB182, bitIndex2)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21568, 492, 21538])).
% 39.09/25.56 tff(21570,plain,
% 39.09/25.56 (v123(constB182, bitIndex2)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21569, 21565])).
% 39.09/25.56 tff(21571,assumption,(~v84(constB182, bitIndex2)), introduced(assumption)).
% 39.09/25.56 tff(21572,plain,
% 39.09/25.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21573,plain,
% 39.09/25.56 ((v84(constB182, bitIndex2) | (~v94(constB182)) | (~v123(constB182, bitIndex2))) <=> (v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21574,plain,
% 39.09/25.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v94(constB182)) | (~v123(constB182, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182))))),
% 39.09/25.56 inference(monotonicity,[status(thm)],[21573])).
% 39.09/25.56 tff(21575,plain,
% 39.09/25.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v94(constB182)) | (~v123(constB182, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182)))),
% 39.09/25.56 inference(transitivity,[status(thm)],[21574, 21572])).
% 39.09/25.56 tff(21576,plain,
% 39.09/25.56 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~v94(constB182)) | (~v123(constB182, bitIndex2)))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21577,plain,
% 39.09/25.56 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)) | (~v94(constB182))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21576, 21575])).
% 39.09/25.56 tff(21578,plain,
% 39.09/25.56 ((~v123(constB182, bitIndex2)) | (~v94(constB182))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21577, 507, 21571])).
% 39.09/25.56 tff(21579,plain,
% 39.09/25.56 (~v94(constB182)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21578, 21570])).
% 39.09/25.56 tff(21580,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21581,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21582,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21581, 21580])).
% 39.09/25.56 tff(21583,plain,
% 39.09/25.56 (~v98(constB182)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21582, 397, 21538, 21414])).
% 39.09/25.56 tff(21584,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21585,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21586,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182)),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 39.09/25.56 tff(21587,plain,
% 39.09/25.56 (v96(constB182) | v98(constB182)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21586, 411, 21538])).
% 39.09/25.56 tff(21588,plain,
% 39.09/25.56 (v96(constB182)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21587, 21583])).
% 39.09/25.56 tff(21589,plain,
% 39.09/25.56 (v1(constB182) <=> v1(constB182)),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21590,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 39.09/25.56 tff(21591,plain,
% 39.09/25.56 (v1(constB182)),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21590, 21589])).
% 39.09/25.56 tff(21592,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21593,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21594,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21593, 21592])).
% 39.09/25.56 tff(21595,plain,
% 39.09/25.56 (v95(constB182) | (~v96(constB182))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21594, 429, 21538, 21591])).
% 39.09/25.56 tff(21596,plain,
% 39.09/25.56 (v95(constB182)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21595, 21588])).
% 39.09/25.56 tff(21597,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21598,plain,
% 39.09/25.56 (((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182)) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21599,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182))))),
% 39.09/25.56 inference(monotonicity,[status(thm)],[21598])).
% 39.09/25.56 tff(21600,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 39.09/25.56 inference(transitivity,[status(thm)],[21599, 21597])).
% 39.09/25.56 tff(21601,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21602,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21601, 21600])).
% 39.09/25.56 tff(21603,plain,
% 39.09/25.56 (v94(constB182) | (~v95(constB182)) | (~v104(constB182))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21602, 444, 21538])).
% 39.09/25.56 tff(21604,plain,
% 39.09/25.56 (v94(constB182) | (~v104(constB182))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21603, 21596])).
% 39.09/25.56 tff(21605,plain,
% 39.09/25.56 (~v104(constB182)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21604, 21579])).
% 39.09/25.56 tff(21606,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21607,plain,
% 39.09/25.56 (((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21608,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))))),
% 39.09/25.56 inference(monotonicity,[status(thm)],[21607])).
% 39.09/25.56 tff(21609,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 39.09/25.56 inference(transitivity,[status(thm)],[21608, 21606])).
% 39.09/25.56 tff(21610,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21611,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 39.09/25.56 tff(21612,plain,
% 39.09/25.56 (v104(constB182) | (~v102(constB181))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21611, 379, 21538])).
% 39.09/25.56 tff(21613,plain,
% 39.09/25.56 (~v102(constB181)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21612, 21605])).
% 39.09/25.56 tff(21614,plain,
% 39.09/25.56 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB181) | (~v106(constB181)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB181) | (~v106(constB181)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21615,plain,
% 39.09/25.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB181) | (~v106(constB181)))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21616,plain,
% 39.09/25.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB181) | (~v106(constB181))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21615, 21614])).
% 39.09/25.56 tff(21617,plain,
% 39.09/25.56 (~v106(constB181)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21616, 362, 21613])).
% 39.09/25.56 tff(21618,plain,
% 39.09/25.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21619,plain,
% 39.09/25.56 ((v26(constB181) | (~v107(constB181)) | v106(constB181)) <=> (v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21620,plain,
% 39.09/25.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181))))),
% 39.09/25.56 inference(monotonicity,[status(thm)],[21619])).
% 39.09/25.56 tff(21621,plain,
% 39.09/25.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 39.09/25.56 inference(transitivity,[status(thm)],[21620, 21618])).
% 39.09/25.56 tff(21622,plain,
% 39.09/25.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21623,plain,
% 39.09/25.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21622, 21621])).
% 39.09/25.56 tff(21624,plain,
% 39.09/25.56 (v106(constB181) | (~v107(constB181))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21623, 350, 21527])).
% 39.09/25.56 tff(21625,plain,
% 39.09/25.56 (~v107(constB181)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21624, 21617])).
% 39.09/25.56 tff(21626,plain,
% 39.09/25.56 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB181) | (~v108(constB181)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB181) | (~v108(constB181)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21627,plain,
% 39.09/25.56 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB181) | (~v108(constB181)))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21628,plain,
% 39.09/25.56 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB181) | (~v108(constB181))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21627, 21626])).
% 39.09/25.56 tff(21629,plain,
% 39.09/25.56 ($false),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21628, 336, 21625, 21556])).
% 39.09/25.56 tff(21630,plain,((~v116(constB181)) | v84(constB182, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 39.09/25.56 tff(21631,plain,
% 39.09/25.56 (v84(constB182, bitIndex2)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21630, 21519])).
% 39.09/25.56 tff(21632,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v94(constB182) | (~v84(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v94(constB182) | (~v84(constB182, bitIndex2)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21633,plain,
% 39.09/25.56 (((~nextState(constB181, constB182)) | v84(constB181, bitIndex2) | v94(constB182) | (~v84(constB182, bitIndex2))) <=> (v84(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v94(constB182) | (~v84(constB182, bitIndex2)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21634,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v84(constB181, bitIndex2) | v94(constB182) | (~v84(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v94(constB182) | (~v84(constB182, bitIndex2))))),
% 39.09/25.56 inference(monotonicity,[status(thm)],[21633])).
% 39.09/25.56 tff(21635,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v84(constB181, bitIndex2) | v94(constB182) | (~v84(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v94(constB182) | (~v84(constB182, bitIndex2)))),
% 39.09/25.56 inference(transitivity,[status(thm)],[21634, 21632])).
% 39.09/25.56 tff(21636,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v84(constB181, bitIndex2) | v94(constB182) | (~v84(constB182, bitIndex2)))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21637,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v94(constB182) | (~v84(constB182, bitIndex2))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 39.09/25.56 tff(21638,plain,
% 39.09/25.56 (v84(constB181, bitIndex2) | v94(constB182) | (~v84(constB182, bitIndex2))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21637, 207, 21538])).
% 39.09/25.56 tff(21639,plain,
% 39.09/25.56 (v94(constB182)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21638, 21631, 21438])).
% 39.09/25.56 tff(21640,plain,
% 39.09/25.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21641,plain,
% 39.09/25.56 (((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0)) <=> ((~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21642,plain,
% 39.09/25.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182))))),
% 39.09/25.56 inference(monotonicity,[status(thm)],[21641])).
% 39.09/25.56 tff(21643,plain,
% 39.09/25.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182)))),
% 39.09/25.56 inference(transitivity,[status(thm)],[21642, 21640])).
% 39.09/25.56 tff(21644,plain,
% 39.09/25.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21645,plain,
% 39.09/25.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0) | (~v94(constB182))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 39.09/25.56 tff(21646,plain,
% 39.09/25.56 ((~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21645, 683, 21639])).
% 39.09/25.56 tff(21647,plain,
% 39.09/25.56 (~v84(constB182, bitIndex0)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21646, 21543])).
% 39.09/25.56 tff(21648,plain,
% 39.09/25.56 ((~v1(constB183)) <=> (~v1(constB183))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21649,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 39.09/25.56 tff(21650,plain,
% 39.09/25.56 (~v1(constB183)),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 39.09/25.56 tff(21651,plain,
% 39.09/25.56 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21652,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 39.09/25.56 tff(21653,plain,
% 39.09/25.56 (nextState(constB182, constB183)),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21652, 21651])).
% 39.09/25.56 tff(21654,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21655,plain,
% 39.09/25.56 (((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21656,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))))),
% 39.09/25.56 inference(monotonicity,[status(thm)],[21655])).
% 39.09/25.56 tff(21657,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 39.09/25.56 inference(transitivity,[status(thm)],[21656, 21654])).
% 39.09/25.56 tff(21658,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21659,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21658, 21657])).
% 39.09/25.56 tff(21660,plain,
% 39.09/25.56 (~v95(constB183)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21659, 175, 21653, 21650])).
% 39.09/25.56 tff(21661,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21662,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21663,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 39.09/25.56 tff(21664,plain,
% 39.09/25.56 (v95(constB183) | (~v94(constB183))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21663, 192, 21653])).
% 39.09/25.56 tff(21665,plain,
% 39.09/25.56 (~v94(constB183)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21664, 21660])).
% 39.09/25.56 tff(21666,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21667,plain,
% 39.09/25.56 (((~nextState(constB182, constB183)) | v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0))) <=> (v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0)))),
% 39.09/25.56 inference(rewrite,[status(thm)],[])).
% 39.09/25.56 tff(21668,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0))))),
% 39.09/25.56 inference(monotonicity,[status(thm)],[21667])).
% 39.09/25.56 tff(21669,plain,
% 39.09/25.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0)))),
% 39.09/25.56 inference(transitivity,[status(thm)],[21668, 21666])).
% 39.09/25.56 tff(21670,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0)))),
% 39.09/25.56 inference(quant_inst,[status(thm)],[])).
% 39.09/25.56 tff(21671,plain,
% 39.09/25.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex0))),
% 39.09/25.56 inference(modus_ponens,[status(thm)],[21670, 21669])).
% 39.09/25.56 tff(21672,plain,
% 39.09/25.56 (v84(constB182, bitIndex0) | v94(constB183) | (~v84(constB183, bitIndex0))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21671, 249, 21653])).
% 39.09/25.56 tff(21673,plain,
% 39.09/25.56 (v84(constB182, bitIndex0) | (~v84(constB183, bitIndex0))),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21672, 21665])).
% 39.09/25.56 tff(21674,plain,
% 39.09/25.56 (~v84(constB183, bitIndex0)),
% 39.09/25.56 inference(unit_resolution,[status(thm)],[21673, 21647])).
% 39.09/25.56 tff(21675,plain,
% 39.09/25.56 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB181)) | (~v124(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB181)) | (~v124(constB181, bitIndex1)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21676,plain,
% 39.09/25.57 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB181)) | (~v124(constB181, bitIndex1)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21677,plain,
% 39.09/25.57 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB181)) | (~v124(constB181, bitIndex1))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21676, 21675])).
% 39.09/25.57 tff(21678,plain,
% 39.09/25.57 (~v124(constB181, bitIndex1)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21677, 1977, 21519])).
% 39.09/25.57 tff(21679,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21680,plain,
% 39.09/25.57 ((v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1))) <=> ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21681,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1)))),
% 39.09/25.57 inference(monotonicity,[status(thm)],[21680])).
% 39.09/25.57 tff(21682,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 39.09/25.57 inference(transitivity,[status(thm)],[21681, 21679])).
% 39.09/25.57 tff(21683,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21684,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1)),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21683, 21682])).
% 39.09/25.57 tff(21685,plain,
% 39.09/25.57 ((~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21684, 576, 21527])).
% 39.09/25.57 tff(21686,plain,
% 39.09/25.57 (~v121(constB181, bitIndex1)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21685, 21678])).
% 39.09/25.57 tff(21687,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21688,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21689,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 39.09/25.57 tff(21690,plain,
% 39.09/25.57 (v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21689, 594, 21538])).
% 39.09/25.57 tff(21691,plain,
% 39.09/25.57 (~v123(constB182, bitIndex1)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21690, 21686])).
% 39.09/25.57 tff(21692,plain,
% 39.09/25.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21693,plain,
% 39.09/25.57 (((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1)) <=> ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21694,plain,
% 39.09/25.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182))))),
% 39.09/25.57 inference(monotonicity,[status(thm)],[21693])).
% 39.09/25.57 tff(21695,plain,
% 39.09/25.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 39.09/25.57 inference(transitivity,[status(thm)],[21694, 21692])).
% 39.09/25.57 tff(21696,plain,
% 39.09/25.57 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21697,plain,
% 39.09/25.57 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21696, 21695])).
% 39.09/25.57 tff(21698,plain,
% 39.09/25.57 ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21697, 609, 21639])).
% 39.09/25.57 tff(21699,plain,
% 39.09/25.57 (~v84(constB182, bitIndex1)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21698, 21691])).
% 39.09/25.57 tff(21700,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21701,plain,
% 39.09/25.57 (((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1))) <=> (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21702,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1))))),
% 39.09/25.57 inference(monotonicity,[status(thm)],[21701])).
% 39.09/25.57 tff(21703,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 39.09/25.57 inference(transitivity,[status(thm)],[21702, 21700])).
% 39.09/25.57 tff(21704,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21705,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 39.09/25.57 tff(21706,plain,
% 39.09/25.57 (v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1))),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21705, 228, 21653])).
% 39.09/25.57 tff(21707,plain,
% 39.09/25.57 (v84(constB182, bitIndex1) | (~v84(constB183, bitIndex1))),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21706, 21665])).
% 39.09/25.57 tff(21708,plain,
% 39.09/25.57 (~v84(constB183, bitIndex1)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21707, 21699])).
% 39.09/25.57 tff(21709,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21710,plain,
% 39.09/25.57 (((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2)) <=> ((~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21711,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2)))),
% 39.09/25.57 inference(monotonicity,[status(thm)],[21710])).
% 39.09/25.57 tff(21712,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2))),
% 39.09/25.57 inference(transitivity,[status(thm)],[21711, 21709])).
% 39.09/25.57 tff(21713,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21714,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex2)),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 39.09/25.57 tff(21715,plain,
% 39.09/25.57 ((~v84(constB182, bitIndex2)) | v94(constB183) | v84(constB183, bitIndex2)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21714, 543, 21653])).
% 39.09/25.57 tff(21716,plain,
% 39.09/25.57 ((~v84(constB182, bitIndex2)) | v84(constB183, bitIndex2)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21715, 21665])).
% 39.09/25.57 tff(21717,plain,
% 39.09/25.57 (v84(constB183, bitIndex2)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21716, 21631])).
% 39.09/25.57 tff(21718,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21719,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21720,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183)),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21719, 21718])).
% 39.09/25.57 tff(21721,plain,
% 39.09/25.57 (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | v172(constB183)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21720, 710, 21717])).
% 39.09/25.57 tff(21722,plain,
% 39.09/25.57 (v172(constB183)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21721, 21708, 21674])).
% 39.09/25.57 tff(21723,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB183) | (~v172(constB183)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB183) | (~v172(constB183)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21724,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB183) | (~v172(constB183)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21725,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB183) | (~v172(constB183))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21724, 21723])).
% 39.09/25.57 tff(21726,plain,
% 39.09/25.57 (v109(constB183)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21725, 764, 21722])).
% 39.09/25.57 tff(21727,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB183) | (~v109(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB183) | (~v109(constB183)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21728,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB183) | (~v109(constB183)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21729,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB183) | (~v109(constB183))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21728, 21727])).
% 39.09/25.57 tff(21730,plain,
% 39.09/25.57 (v108(constB183)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21729, 325, 21726])).
% 39.09/25.57 tff(21731,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB183) | (~v108(constB183)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB183) | (~v108(constB183)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21732,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB183) | (~v108(constB183)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21733,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB183) | (~v108(constB183))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21732, 21731])).
% 39.09/25.57 tff(21734,plain,
% 39.09/25.57 (v107(constB183)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21733, 336, 21730])).
% 39.09/25.57 tff(21735,assumption,(v26(constB183)), introduced(assumption)).
% 39.09/25.57 tff(21736,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21737,plain,
% 39.09/25.57 ($false),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21736, 120, 21735])).
% 39.09/25.57 tff(21738,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 39.09/25.57 tff(21739,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21740,plain,
% 39.09/25.57 ((v26(constB183) | (~v107(constB183)) | v106(constB183)) <=> (v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21741,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183))))),
% 39.09/25.57 inference(monotonicity,[status(thm)],[21740])).
% 39.09/25.57 tff(21742,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 39.09/25.57 inference(transitivity,[status(thm)],[21741, 21739])).
% 39.09/25.57 tff(21743,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21744,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21743, 21742])).
% 39.09/25.57 tff(21745,plain,
% 39.09/25.57 (v106(constB183) | (~v107(constB183))),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21744, 350, 21738])).
% 39.09/25.57 tff(21746,plain,
% 39.09/25.57 (v106(constB183)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21745, 21734])).
% 39.09/25.57 tff(21747,plain,
% 39.09/25.57 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB183) | (~v106(constB183)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB183) | (~v106(constB183)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21748,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB183) | (~v106(constB183)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21749,plain,
% 39.09/25.57 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB183) | (~v106(constB183))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 39.09/25.57 tff(21750,plain,
% 39.09/25.57 (v102(constB183)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21749, 362, 21746])).
% 39.09/25.57 tff(21751,plain,
% 39.09/25.57 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21752,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 39.09/25.57 tff(21753,plain,
% 39.09/25.57 (nextState(constB183, constB184)),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21752, 21751])).
% 39.09/25.57 tff(21754,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21755,plain,
% 39.09/25.57 (((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21756,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))))),
% 39.09/25.57 inference(monotonicity,[status(thm)],[21755])).
% 39.09/25.57 tff(21757,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 39.09/25.57 inference(transitivity,[status(thm)],[21756, 21754])).
% 39.09/25.57 tff(21758,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21759,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 39.09/25.57 tff(21760,plain,
% 39.09/25.57 (v104(constB184) | (~v102(constB183))),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21759, 379, 21753])).
% 39.09/25.57 tff(21761,plain,
% 39.09/25.57 (v104(constB184)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21760, 21750])).
% 39.09/25.57 tff(21762,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21763,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21764,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21763, 21762])).
% 39.09/25.57 tff(21765,plain,
% 39.09/25.57 (~v98(constB184)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21764, 397, 21753, 21650])).
% 39.09/25.57 tff(21766,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21767,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21768,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184)),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21767, 21766])).
% 39.09/25.57 tff(21769,plain,
% 39.09/25.57 (v96(constB184) | v98(constB184)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21768, 411, 21753])).
% 39.09/25.57 tff(21770,plain,
% 39.09/25.57 (v96(constB184)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21769, 21765])).
% 39.09/25.57 tff(21771,plain,
% 39.09/25.57 (v1(constB184) <=> v1(constB184)),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21772,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 39.09/25.57 tff(21773,plain,
% 39.09/25.57 (v1(constB184)),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21772, 21771])).
% 39.09/25.57 tff(21774,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21775,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21776,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21775, 21774])).
% 39.09/25.57 tff(21777,plain,
% 39.09/25.57 (v95(constB184) | (~v96(constB184))),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21776, 429, 21753, 21773])).
% 39.09/25.57 tff(21778,plain,
% 39.09/25.57 (v95(constB184)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21777, 21770])).
% 39.09/25.57 tff(21779,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21780,plain,
% 39.09/25.57 (((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184)) <=> ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21781,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184))))),
% 39.09/25.57 inference(monotonicity,[status(thm)],[21780])).
% 39.09/25.57 tff(21782,plain,
% 39.09/25.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 39.09/25.57 inference(transitivity,[status(thm)],[21781, 21779])).
% 39.09/25.57 tff(21783,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))),
% 39.09/25.57 inference(quant_inst,[status(thm)],[])).
% 39.09/25.57 tff(21784,plain,
% 39.09/25.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184))),
% 39.09/25.57 inference(modus_ponens,[status(thm)],[21783, 21782])).
% 39.09/25.57 tff(21785,plain,
% 39.09/25.57 (v94(constB184) | (~v95(constB184)) | (~v104(constB184))),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21784, 444, 21753])).
% 39.09/25.57 tff(21786,plain,
% 39.09/25.57 (v94(constB184) | (~v104(constB184))),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21785, 21778])).
% 39.09/25.57 tff(21787,plain,
% 39.09/25.57 (v94(constB184)),
% 39.09/25.57 inference(unit_resolution,[status(thm)],[21786, 21761])).
% 39.09/25.57 tff(21788,plain,
% 39.09/25.57 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB183)) | v124(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB183)) | v124(constB183, bitIndex2))),
% 39.09/25.57 inference(rewrite,[status(thm)],[])).
% 39.09/25.57 tff(21789,plain,
% 39.18/25.58 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB183)) | v124(constB183, bitIndex2))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21790,plain,
% 39.18/25.58 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB183)) | v124(constB183, bitIndex2)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 39.18/25.58 tff(21791,plain,
% 39.18/25.58 (v124(constB183, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21790, 724, 21722])).
% 39.18/25.58 tff(21792,plain,
% 39.18/25.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB183) | (~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB183) | (~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21793,plain,
% 39.18/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB183) | (~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21794,plain,
% 39.18/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB183) | (~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21793, 21792])).
% 39.18/25.58 tff(21795,plain,
% 39.18/25.58 ((~v124(constB183, bitIndex2)) | v121(constB183, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21794, 477, 21738])).
% 39.18/25.58 tff(21796,plain,
% 39.18/25.58 (v121(constB183, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21795, 21791])).
% 39.18/25.58 tff(21797,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21798,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21799,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21798, 21797])).
% 39.18/25.58 tff(21800,plain,
% 39.18/25.58 ((~v121(constB183, bitIndex2)) | v123(constB184, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21799, 492, 21753])).
% 39.18/25.58 tff(21801,plain,
% 39.18/25.58 (v123(constB184, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21800, 21796])).
% 39.18/25.58 tff(21802,plain,
% 39.18/25.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184)))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21803,plain,
% 39.18/25.58 ((v84(constB184, bitIndex2) | (~v94(constB184)) | (~v123(constB184, bitIndex2))) <=> (v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184)))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21804,plain,
% 39.18/25.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v94(constB184)) | (~v123(constB184, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184))))),
% 39.18/25.58 inference(monotonicity,[status(thm)],[21803])).
% 39.18/25.58 tff(21805,plain,
% 39.18/25.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v94(constB184)) | (~v123(constB184, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184)))),
% 39.18/25.58 inference(transitivity,[status(thm)],[21804, 21802])).
% 39.18/25.58 tff(21806,plain,
% 39.18/25.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~v94(constB184)) | (~v123(constB184, bitIndex2)))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21807,plain,
% 39.18/25.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~v123(constB184, bitIndex2)) | (~v94(constB184))),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21806, 21805])).
% 39.18/25.58 tff(21808,plain,
% 39.18/25.58 (v84(constB184, bitIndex2) | (~v94(constB184))),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21807, 507, 21801])).
% 39.18/25.58 tff(21809,plain,
% 39.18/25.58 (v84(constB184, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21808, 21787])).
% 39.18/25.58 tff(21810,plain,
% 39.18/25.58 ((~v1(constB185)) <=> (~v1(constB185))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21811,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 39.18/25.58 tff(21812,plain,
% 39.18/25.58 (~v1(constB185)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21811, 21810])).
% 39.18/25.58 tff(21813,plain,
% 39.18/25.58 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21814,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 39.18/25.58 tff(21815,plain,
% 39.18/25.58 (nextState(constB184, constB185)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21814, 21813])).
% 39.18/25.58 tff(21816,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21817,plain,
% 39.18/25.58 (((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21818,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))))),
% 39.18/25.58 inference(monotonicity,[status(thm)],[21817])).
% 39.18/25.58 tff(21819,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 39.18/25.58 inference(transitivity,[status(thm)],[21818, 21816])).
% 39.18/25.58 tff(21820,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21821,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21820, 21819])).
% 39.18/25.58 tff(21822,plain,
% 39.18/25.58 (~v95(constB185)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21821, 175, 21815, 21812])).
% 39.18/25.58 tff(21823,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21824,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21825,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185))),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21824, 21823])).
% 39.18/25.58 tff(21826,plain,
% 39.18/25.58 (v95(constB185) | (~v94(constB185))),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21825, 192, 21815])).
% 39.18/25.58 tff(21827,plain,
% 39.18/25.58 (~v94(constB185)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21826, 21822])).
% 39.18/25.58 tff(21828,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21829,plain,
% 39.18/25.58 (((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2)) <=> ((~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21830,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2)))),
% 39.18/25.58 inference(monotonicity,[status(thm)],[21829])).
% 39.18/25.58 tff(21831,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2))),
% 39.18/25.58 inference(transitivity,[status(thm)],[21830, 21828])).
% 39.18/25.58 tff(21832,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21833,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex2)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21832, 21831])).
% 39.18/25.58 tff(21834,plain,
% 39.18/25.58 ((~v84(constB184, bitIndex2)) | v94(constB185) | v84(constB185, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21833, 543, 21815])).
% 39.18/25.58 tff(21835,plain,
% 39.18/25.58 ((~v84(constB184, bitIndex2)) | v84(constB185, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21834, 21827])).
% 39.18/25.58 tff(21836,plain,
% 39.18/25.58 (v84(constB185, bitIndex2)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21835, 21809])).
% 39.18/25.58 tff(21837,plain,
% 39.18/25.58 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB183)) | v124(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB183)) | v124(constB183, bitIndex1))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21838,plain,
% 39.18/25.58 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v172(constB183)) | v124(constB183, bitIndex1))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21839,plain,
% 39.18/25.58 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v172(constB183)) | v124(constB183, bitIndex1)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21838, 21837])).
% 39.18/25.58 tff(21840,plain,
% 39.18/25.58 (v124(constB183, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21839, 861, 21722])).
% 39.18/25.58 tff(21841,plain,
% 39.18/25.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21842,plain,
% 39.18/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21843,plain,
% 39.18/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 39.18/25.58 tff(21844,plain,
% 39.18/25.58 ((~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21843, 875, 21738])).
% 39.18/25.58 tff(21845,plain,
% 39.18/25.58 (v121(constB183, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21844, 21840])).
% 39.18/25.58 tff(21846,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21847,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21848,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21847, 21846])).
% 39.18/25.58 tff(21849,plain,
% 39.18/25.58 ((~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21848, 890, 21753])).
% 39.18/25.58 tff(21850,plain,
% 39.18/25.58 (v123(constB184, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21849, 21845])).
% 39.18/25.58 tff(21851,plain,
% 39.18/25.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21852,plain,
% 39.18/25.58 ((v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1))) <=> (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21853,plain,
% 39.18/25.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184))))),
% 39.18/25.58 inference(monotonicity,[status(thm)],[21852])).
% 39.18/25.58 tff(21854,plain,
% 39.18/25.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 39.18/25.58 inference(transitivity,[status(thm)],[21853, 21851])).
% 39.18/25.58 tff(21855,plain,
% 39.18/25.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21856,plain,
% 39.18/25.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184))),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21855, 21854])).
% 39.18/25.58 tff(21857,plain,
% 39.18/25.58 (v84(constB184, bitIndex1) | (~v94(constB184))),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21856, 905, 21850])).
% 39.18/25.58 tff(21858,plain,
% 39.18/25.58 (v84(constB184, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21857, 21787])).
% 39.18/25.58 tff(21859,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21860,plain,
% 39.18/25.58 (((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1)) <=> ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21861,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1)))),
% 39.18/25.58 inference(monotonicity,[status(thm)],[21860])).
% 39.18/25.58 tff(21862,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 39.18/25.58 inference(transitivity,[status(thm)],[21861, 21859])).
% 39.18/25.58 tff(21863,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21864,plain,
% 39.18/25.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21863, 21862])).
% 39.18/25.58 tff(21865,plain,
% 39.18/25.58 ((~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21864, 923, 21815])).
% 39.18/25.58 tff(21866,plain,
% 39.18/25.58 ((~v84(constB184, bitIndex1)) | v84(constB185, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21865, 21827])).
% 39.18/25.58 tff(21867,plain,
% 39.18/25.58 (v84(constB185, bitIndex1)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21866, 21858])).
% 39.18/25.58 tff(21868,plain,
% 39.18/25.58 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB183)) | (~v124(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB183)) | (~v124(constB183, bitIndex0)))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21869,plain,
% 39.18/25.58 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v172(constB183)) | (~v124(constB183, bitIndex0)))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21870,plain,
% 39.18/25.58 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v172(constB183)) | (~v124(constB183, bitIndex0))),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21869, 21868])).
% 39.18/25.58 tff(21871,plain,
% 39.18/25.58 (~v124(constB183, bitIndex0)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21870, 942, 21722])).
% 39.18/25.58 tff(21872,plain,
% 39.18/25.58 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21873,plain,
% 39.18/25.58 ((v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0))) <=> ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 39.18/25.58 inference(rewrite,[status(thm)],[])).
% 39.18/25.58 tff(21874,plain,
% 39.18/25.58 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0)))),
% 39.18/25.58 inference(monotonicity,[status(thm)],[21873])).
% 39.18/25.58 tff(21875,plain,
% 39.18/25.58 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 39.18/25.58 inference(transitivity,[status(thm)],[21874, 21872])).
% 39.18/25.58 tff(21876,plain,
% 39.18/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))),
% 39.18/25.58 inference(quant_inst,[status(thm)],[])).
% 39.18/25.58 tff(21877,plain,
% 39.18/25.58 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0)),
% 39.18/25.58 inference(modus_ponens,[status(thm)],[21876, 21875])).
% 39.18/25.58 tff(21878,plain,
% 39.18/25.58 ((~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21877, 650, 21738])).
% 39.18/25.58 tff(21879,plain,
% 39.18/25.58 (~v121(constB183, bitIndex0)),
% 39.18/25.58 inference(unit_resolution,[status(thm)],[21878, 21871])).
% 39.18/25.58 tff(21880,plain,
% 39.18/25.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21881,plain,
% 39.18/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 39.18/25.59 inference(quant_inst,[status(thm)],[])).
% 39.18/25.59 tff(21882,plain,
% 39.18/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 39.18/25.59 inference(modus_ponens,[status(thm)],[21881, 21880])).
% 39.18/25.59 tff(21883,plain,
% 39.18/25.59 (v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21882, 668, 21753])).
% 39.18/25.59 tff(21884,plain,
% 39.18/25.59 (~v123(constB184, bitIndex0)),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21883, 21879])).
% 39.18/25.59 tff(21885,plain,
% 39.18/25.59 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21886,plain,
% 39.18/25.59 (((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0)) <=> ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21887,plain,
% 39.18/25.59 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184))))),
% 39.18/25.59 inference(monotonicity,[status(thm)],[21886])).
% 39.18/25.59 tff(21888,plain,
% 39.18/25.59 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 39.18/25.59 inference(transitivity,[status(thm)],[21887, 21885])).
% 39.18/25.59 tff(21889,plain,
% 39.18/25.59 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))),
% 39.18/25.59 inference(quant_inst,[status(thm)],[])).
% 39.18/25.59 tff(21890,plain,
% 39.18/25.59 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184))),
% 39.18/25.59 inference(modus_ponens,[status(thm)],[21889, 21888])).
% 39.18/25.59 tff(21891,plain,
% 39.18/25.59 ((~v84(constB184, bitIndex0)) | (~v94(constB184))),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21890, 683, 21884])).
% 39.18/25.59 tff(21892,plain,
% 39.18/25.59 (~v84(constB184, bitIndex0)),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21891, 21787])).
% 39.18/25.59 tff(21893,plain,
% 39.18/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21894,plain,
% 39.18/25.59 (((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0))) <=> (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21895,plain,
% 39.18/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0))))),
% 39.18/25.59 inference(monotonicity,[status(thm)],[21894])).
% 39.18/25.59 tff(21896,plain,
% 39.18/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 39.18/25.59 inference(transitivity,[status(thm)],[21895, 21893])).
% 39.18/25.59 tff(21897,plain,
% 39.18/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 39.18/25.59 inference(quant_inst,[status(thm)],[])).
% 39.18/25.59 tff(21898,plain,
% 39.18/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0))),
% 39.18/25.59 inference(modus_ponens,[status(thm)],[21897, 21896])).
% 39.18/25.59 tff(21899,plain,
% 39.18/25.59 (v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0))),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21898, 249, 21815])).
% 39.18/25.59 tff(21900,plain,
% 39.18/25.59 (v84(constB184, bitIndex0) | (~v84(constB185, bitIndex0))),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21899, 21827])).
% 39.18/25.59 tff(21901,plain,
% 39.18/25.59 (~v84(constB185, bitIndex0)),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21900, 21892])).
% 39.18/25.59 tff(21902,plain,
% 39.18/25.59 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21903,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))),
% 39.18/25.59 inference(quant_inst,[status(thm)],[])).
% 39.18/25.59 tff(21904,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185)),
% 39.18/25.59 inference(modus_ponens,[status(thm)],[21903, 21902])).
% 39.18/25.59 tff(21905,plain,
% 39.18/25.59 (v119(constB185)),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21904, 986, 21901, 21867, 21836])).
% 39.18/25.59 tff(21906,plain,
% 39.18/25.59 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB185) | (~v119(constB185)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB185) | (~v119(constB185)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21907,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB185) | (~v119(constB185)))),
% 39.18/25.59 inference(quant_inst,[status(thm)],[])).
% 39.18/25.59 tff(21908,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB185) | (~v119(constB185))),
% 39.18/25.59 inference(modus_ponens,[status(thm)],[21907, 21906])).
% 39.18/25.59 tff(21909,plain,
% 39.18/25.59 (v107(constB185)),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21908, 997, 21905])).
% 39.18/25.59 tff(21910,assumption,(v26(constB185)), introduced(assumption)).
% 39.18/25.59 tff(21911,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 39.18/25.59 inference(quant_inst,[status(thm)],[])).
% 39.18/25.59 tff(21912,plain,
% 39.18/25.59 ($false),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21911, 120, 21910])).
% 39.18/25.59 tff(21913,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 39.18/25.59 tff(21914,plain,
% 39.18/25.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | v106(constB185) | (~v107(constB185)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21915,plain,
% 39.18/25.59 ((v26(constB185) | (~v107(constB185)) | v106(constB185)) <=> (v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21916,plain,
% 39.18/25.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | v106(constB185) | (~v107(constB185))))),
% 39.18/25.59 inference(monotonicity,[status(thm)],[21915])).
% 39.18/25.59 tff(21917,plain,
% 39.18/25.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 39.18/25.59 inference(transitivity,[status(thm)],[21916, 21914])).
% 39.18/25.59 tff(21918,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))),
% 39.18/25.59 inference(quant_inst,[status(thm)],[])).
% 39.18/25.59 tff(21919,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185))),
% 39.18/25.59 inference(modus_ponens,[status(thm)],[21918, 21917])).
% 39.18/25.59 tff(21920,plain,
% 39.18/25.59 (v106(constB185) | (~v107(constB185))),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21919, 350, 21913])).
% 39.18/25.59 tff(21921,plain,
% 39.18/25.59 (v106(constB185)),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21920, 21909])).
% 39.18/25.59 tff(21922,plain,
% 39.18/25.59 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB185) | (~v106(constB185)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB185) | (~v106(constB185)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21923,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB185) | (~v106(constB185)))),
% 39.18/25.59 inference(quant_inst,[status(thm)],[])).
% 39.18/25.59 tff(21924,plain,
% 39.18/25.59 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB185) | (~v106(constB185))),
% 39.18/25.59 inference(modus_ponens,[status(thm)],[21923, 21922])).
% 39.18/25.59 tff(21925,plain,
% 39.18/25.59 (v102(constB185)),
% 39.18/25.59 inference(unit_resolution,[status(thm)],[21924, 362, 21921])).
% 39.18/25.59 tff(21926,plain,
% 39.18/25.59 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21927,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 39.18/25.59 tff(21928,plain,
% 39.18/25.59 (nextState(constB185, constB186)),
% 39.18/25.59 inference(modus_ponens,[status(thm)],[21927, 21926])).
% 39.18/25.59 tff(21929,plain,
% 39.18/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 39.18/25.59 inference(rewrite,[status(thm)],[])).
% 39.18/25.59 tff(21930,plain,
% 39.18/25.59 (((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21931,plain,
% 39.20/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))))),
% 39.20/25.59 inference(monotonicity,[status(thm)],[21930])).
% 39.20/25.59 tff(21932,plain,
% 39.20/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 39.20/25.59 inference(transitivity,[status(thm)],[21931, 21929])).
% 39.20/25.59 tff(21933,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21934,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21933, 21932])).
% 39.20/25.59 tff(21935,plain,
% 39.20/25.59 (v104(constB186) | (~v102(constB185))),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21934, 379, 21928])).
% 39.20/25.59 tff(21936,plain,
% 39.20/25.59 (v104(constB186)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21935, 21925])).
% 39.20/25.59 tff(21937,plain,
% 39.20/25.59 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21938,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21939,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21938, 21937])).
% 39.20/25.59 tff(21940,plain,
% 39.20/25.59 (~v98(constB186)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21939, 397, 21928, 21812])).
% 39.20/25.59 tff(21941,plain,
% 39.20/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21942,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21943,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186)),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21942, 21941])).
% 39.20/25.59 tff(21944,plain,
% 39.20/25.59 (v96(constB186) | v98(constB186)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21943, 411, 21928])).
% 39.20/25.59 tff(21945,plain,
% 39.20/25.59 (v96(constB186)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21944, 21940])).
% 39.20/25.59 tff(21946,plain,
% 39.20/25.59 (v1(constB186) <=> v1(constB186)),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21947,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 39.20/25.59 tff(21948,plain,
% 39.20/25.59 (v1(constB186)),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21947, 21946])).
% 39.20/25.59 tff(21949,plain,
% 39.20/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21950,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21951,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21950, 21949])).
% 39.20/25.59 tff(21952,plain,
% 39.20/25.59 (v95(constB186) | (~v96(constB186))),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21951, 429, 21928, 21948])).
% 39.20/25.59 tff(21953,plain,
% 39.20/25.59 (v95(constB186)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21952, 21945])).
% 39.20/25.59 tff(21954,plain,
% 39.20/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21955,plain,
% 39.20/25.59 (((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186)) <=> ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21956,plain,
% 39.20/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186))))),
% 39.20/25.59 inference(monotonicity,[status(thm)],[21955])).
% 39.20/25.59 tff(21957,plain,
% 39.20/25.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 39.20/25.59 inference(transitivity,[status(thm)],[21956, 21954])).
% 39.20/25.59 tff(21958,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21959,plain,
% 39.20/25.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21958, 21957])).
% 39.20/25.59 tff(21960,plain,
% 39.20/25.59 (v94(constB186) | (~v95(constB186)) | (~v104(constB186))),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21959, 444, 21928])).
% 39.20/25.59 tff(21961,plain,
% 39.20/25.59 (v94(constB186) | (~v104(constB186))),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21960, 21953])).
% 39.20/25.59 tff(21962,plain,
% 39.20/25.59 (v94(constB186)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21961, 21936])).
% 39.20/25.59 tff(21963,plain,
% 39.20/25.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB185, bitIndex2)) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB185, bitIndex2)) | (~v115(constB185)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21964,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB185, bitIndex2)) | (~v115(constB185)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21965,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB185, bitIndex2)) | (~v115(constB185))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 39.20/25.59 tff(21966,plain,
% 39.20/25.59 (~v115(constB185)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21965, 1058, 21836])).
% 39.20/25.59 tff(21967,plain,
% 39.20/25.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB185, bitIndex2)) | (~v116(constB185)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB185, bitIndex2)) | (~v116(constB185)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21968,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB185, bitIndex2)) | (~v116(constB185)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21969,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB185, bitIndex2)) | (~v116(constB185))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21968, 21967])).
% 39.20/25.59 tff(21970,plain,
% 39.20/25.59 (~v116(constB185)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21969, 1069, 21836])).
% 39.20/25.59 tff(21971,plain,
% 39.20/25.59 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB185)) | (~v84(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB185)) | (~v84(constB185, bitIndex1)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21972,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB185)) | (~v84(constB185, bitIndex1)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21973,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB185)) | (~v84(constB185, bitIndex1))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21972, 21971])).
% 39.20/25.59 tff(21974,plain,
% 39.20/25.59 (~v113(constB185)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21973, 1083, 21867])).
% 39.20/25.59 tff(21975,plain,
% 39.20/25.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v118(constB185)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v118(constB185)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21976,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v118(constB185)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21977,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v118(constB185))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21976, 21975])).
% 39.20/25.59 tff(21978,plain,
% 39.20/25.59 (~v118(constB185)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21977, 1094, 21867])).
% 39.20/25.59 tff(21979,plain,
% 39.20/25.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v172(constB185)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v172(constB185)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21980,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v172(constB185)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21981,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v172(constB185))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21980, 21979])).
% 39.20/25.59 tff(21982,plain,
% 39.20/25.59 (~v172(constB185)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21981, 1105, 21867])).
% 39.20/25.59 tff(21983,plain,
% 39.20/25.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v145(constB185)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v145(constB185)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21984,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v145(constB185)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21985,plain,
% 39.20/25.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v145(constB185))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21984, 21983])).
% 39.20/25.59 tff(21986,plain,
% 39.20/25.59 (~v145(constB185)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21985, 1116, 21867])).
% 39.20/25.59 tff(21987,plain,
% 39.20/25.59 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex2)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21988,plain,
% 39.20/25.59 ((v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex2))) <=> (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex2)))),
% 39.20/25.59 inference(rewrite,[status(thm)],[])).
% 39.20/25.59 tff(21989,plain,
% 39.20/25.59 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex2))))),
% 39.20/25.59 inference(monotonicity,[status(thm)],[21988])).
% 39.20/25.59 tff(21990,plain,
% 39.20/25.59 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex2)))),
% 39.20/25.59 inference(transitivity,[status(thm)],[21989, 21987])).
% 39.20/25.59 tff(21991,plain,
% 39.20/25.59 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex2)))),
% 39.20/25.59 inference(quant_inst,[status(thm)],[])).
% 39.20/25.59 tff(21992,plain,
% 39.20/25.59 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex2))),
% 39.20/25.59 inference(modus_ponens,[status(thm)],[21991, 21990])).
% 39.20/25.59 tff(21993,plain,
% 39.20/25.59 (~v124(constB185, bitIndex2)),
% 39.20/25.59 inference(unit_resolution,[status(thm)],[21992, 1130, 21986, 21982, 21978, 21974, 21970, 21966])).
% 39.20/25.59 tff(21994,plain,
% 39.20/25.59 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(21995,plain,
% 39.20/25.60 ((v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2))) <=> ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(21996,plain,
% 39.20/25.60 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2)))),
% 39.20/25.60 inference(monotonicity,[status(thm)],[21995])).
% 39.20/25.60 tff(21997,plain,
% 39.20/25.60 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 39.20/25.60 inference(transitivity,[status(thm)],[21996, 21994])).
% 39.20/25.60 tff(21998,plain,
% 39.20/25.60 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(21999,plain,
% 39.20/25.60 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2)),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[21998, 21997])).
% 39.20/25.60 tff(22000,plain,
% 39.20/25.60 ((~v121(constB185, bitIndex2)) | v124(constB185, bitIndex2)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[21999, 1147, 21913])).
% 39.20/25.60 tff(22001,plain,
% 39.20/25.60 (~v121(constB185, bitIndex2)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22000, 21993])).
% 39.20/25.60 tff(22002,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22003,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22004,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2))),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22003, 22002])).
% 39.20/25.60 tff(22005,plain,
% 39.20/25.60 (v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2))),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22004, 1165, 21928])).
% 39.20/25.60 tff(22006,plain,
% 39.20/25.60 (~v123(constB186, bitIndex2)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22005, 22001])).
% 39.20/25.60 tff(22007,plain,
% 39.20/25.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22008,plain,
% 39.20/25.60 (((~v84(constB186, bitIndex2)) | (~v94(constB186)) | v123(constB186, bitIndex2)) <=> ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22009,plain,
% 39.20/25.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | (~v94(constB186)) | v123(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186))))),
% 39.20/25.60 inference(monotonicity,[status(thm)],[22008])).
% 39.20/25.60 tff(22010,plain,
% 39.20/25.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | (~v94(constB186)) | v123(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 39.20/25.60 inference(transitivity,[status(thm)],[22009, 22007])).
% 39.20/25.60 tff(22011,plain,
% 39.20/25.60 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | (~v94(constB186)) | v123(constB186, bitIndex2))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22012,plain,
% 39.20/25.60 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186))),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22011, 22010])).
% 39.20/25.60 tff(22013,plain,
% 39.20/25.60 ((~v84(constB186, bitIndex2)) | (~v94(constB186))),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22012, 1180, 22006])).
% 39.20/25.60 tff(22014,plain,
% 39.20/25.60 (~v84(constB186, bitIndex2)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22013, 21962])).
% 39.20/25.60 tff(22015,plain,
% 39.20/25.60 ((~v1(constB187)) <=> (~v1(constB187))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22016,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 39.20/25.60 tff(22017,plain,
% 39.20/25.60 (~v1(constB187)),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22016, 22015])).
% 39.20/25.60 tff(22018,plain,
% 39.20/25.60 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22019,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 39.20/25.60 tff(22020,plain,
% 39.20/25.60 (nextState(constB186, constB187)),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 39.20/25.60 tff(22021,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22022,plain,
% 39.20/25.60 (((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22023,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187))))),
% 39.20/25.60 inference(monotonicity,[status(thm)],[22022])).
% 39.20/25.60 tff(22024,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 39.20/25.60 inference(transitivity,[status(thm)],[22023, 22021])).
% 39.20/25.60 tff(22025,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22026,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187))),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22025, 22024])).
% 39.20/25.60 tff(22027,plain,
% 39.20/25.60 (~v95(constB187)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22026, 175, 22020, 22017])).
% 39.20/25.60 tff(22028,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22029,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22030,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187))),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22029, 22028])).
% 39.20/25.60 tff(22031,plain,
% 39.20/25.60 (v95(constB187) | (~v94(constB187))),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22030, 192, 22020])).
% 39.20/25.60 tff(22032,plain,
% 39.20/25.60 (~v94(constB187)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22031, 22027])).
% 39.20/25.60 tff(22033,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22034,plain,
% 39.20/25.60 (((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2))) <=> (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22035,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2))))),
% 39.20/25.60 inference(monotonicity,[status(thm)],[22034])).
% 39.20/25.60 tff(22036,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 39.20/25.60 inference(transitivity,[status(thm)],[22035, 22033])).
% 39.20/25.60 tff(22037,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22038,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2))),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 39.20/25.60 tff(22039,plain,
% 39.20/25.60 (v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2))),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22038, 207, 22020])).
% 39.20/25.60 tff(22040,plain,
% 39.20/25.60 (v84(constB186, bitIndex2) | (~v84(constB187, bitIndex2))),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22039, 22032])).
% 39.20/25.60 tff(22041,plain,
% 39.20/25.60 (~v84(constB187, bitIndex2)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22040, 22014])).
% 39.20/25.60 tff(22042,plain,
% 39.20/25.60 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex1)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22043,plain,
% 39.20/25.60 ((v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex1))) <=> (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex1)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22044,plain,
% 39.20/25.60 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex1))))),
% 39.20/25.60 inference(monotonicity,[status(thm)],[22043])).
% 39.20/25.60 tff(22045,plain,
% 39.20/25.60 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex1)))),
% 39.20/25.60 inference(transitivity,[status(thm)],[22044, 22042])).
% 39.20/25.60 tff(22046,plain,
% 39.20/25.60 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | (~v124(constB185, bitIndex1)))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22047,plain,
% 39.20/25.60 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | (~v124(constB185, bitIndex1))),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22046, 22045])).
% 39.20/25.60 tff(22048,plain,
% 39.20/25.60 (~v124(constB185, bitIndex1)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22047, 1225, 21986, 21982, 21978, 21974, 21970, 21966])).
% 39.20/25.60 tff(22049,plain,
% 39.20/25.60 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22050,plain,
% 39.20/25.60 ((v26(constB185) | v124(constB185, bitIndex1) | (~v121(constB185, bitIndex1))) <=> ((~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22051,plain,
% 39.20/25.60 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB185) | v124(constB185, bitIndex1) | (~v121(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1)))),
% 39.20/25.60 inference(monotonicity,[status(thm)],[22050])).
% 39.20/25.60 tff(22052,plain,
% 39.20/25.60 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB185) | v124(constB185, bitIndex1) | (~v121(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1))),
% 39.20/25.60 inference(transitivity,[status(thm)],[22051, 22049])).
% 39.20/25.60 tff(22053,plain,
% 39.20/25.60 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB185) | v124(constB185, bitIndex1) | (~v121(constB185, bitIndex1)))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22054,plain,
% 39.20/25.60 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB185, bitIndex1)) | v26(constB185) | v124(constB185, bitIndex1)),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22053, 22052])).
% 39.20/25.60 tff(22055,plain,
% 39.20/25.60 ((~v121(constB185, bitIndex1)) | v124(constB185, bitIndex1)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22054, 576, 21913])).
% 39.20/25.60 tff(22056,plain,
% 39.20/25.60 (~v121(constB185, bitIndex1)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22055, 22048])).
% 39.20/25.60 tff(22057,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22058,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1)))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22059,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1))),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 39.20/25.60 tff(22060,plain,
% 39.20/25.60 (v121(constB185, bitIndex1) | (~v123(constB186, bitIndex1))),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22059, 594, 21928])).
% 39.20/25.60 tff(22061,plain,
% 39.20/25.60 (~v123(constB186, bitIndex1)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22060, 22056])).
% 39.20/25.60 tff(22062,plain,
% 39.20/25.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22063,plain,
% 39.20/25.60 (((~v84(constB186, bitIndex1)) | (~v94(constB186)) | v123(constB186, bitIndex1)) <=> ((~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22064,plain,
% 39.20/25.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~v94(constB186)) | v123(constB186, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186))))),
% 39.20/25.60 inference(monotonicity,[status(thm)],[22063])).
% 39.20/25.60 tff(22065,plain,
% 39.20/25.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~v94(constB186)) | v123(constB186, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186)))),
% 39.20/25.60 inference(transitivity,[status(thm)],[22064, 22062])).
% 39.20/25.60 tff(22066,plain,
% 39.20/25.60 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~v94(constB186)) | v123(constB186, bitIndex1))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22067,plain,
% 39.20/25.60 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | v123(constB186, bitIndex1) | (~v94(constB186))),
% 39.20/25.60 inference(modus_ponens,[status(thm)],[22066, 22065])).
% 39.20/25.60 tff(22068,plain,
% 39.20/25.60 ((~v84(constB186, bitIndex1)) | (~v94(constB186))),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22067, 609, 22061])).
% 39.20/25.60 tff(22069,plain,
% 39.20/25.60 (~v84(constB186, bitIndex1)),
% 39.20/25.60 inference(unit_resolution,[status(thm)],[22068, 21962])).
% 39.20/25.60 tff(22070,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22071,plain,
% 39.20/25.60 (((~nextState(constB186, constB187)) | v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1))) <=> (v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1)))),
% 39.20/25.60 inference(rewrite,[status(thm)],[])).
% 39.20/25.60 tff(22072,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1))))),
% 39.20/25.60 inference(monotonicity,[status(thm)],[22071])).
% 39.20/25.60 tff(22073,plain,
% 39.20/25.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1)))),
% 39.20/25.60 inference(transitivity,[status(thm)],[22072, 22070])).
% 39.20/25.60 tff(22074,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1)))),
% 39.20/25.60 inference(quant_inst,[status(thm)],[])).
% 39.20/25.60 tff(22075,plain,
% 39.20/25.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex1))),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22074, 22073])).
% 39.20/25.61 tff(22076,plain,
% 39.20/25.61 (v84(constB186, bitIndex1) | v94(constB187) | (~v84(constB187, bitIndex1))),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22075, 228, 22020])).
% 39.20/25.61 tff(22077,plain,
% 39.20/25.61 (v84(constB186, bitIndex1) | (~v84(constB187, bitIndex1))),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22076, 22032])).
% 39.20/25.61 tff(22078,plain,
% 39.20/25.61 (~v84(constB187, bitIndex1)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22077, 22069])).
% 39.20/25.61 tff(22079,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | v124(constB185, bitIndex0))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22080,plain,
% 39.20/25.61 ((v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | v124(constB185, bitIndex0)) <=> (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | v124(constB185, bitIndex0))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22081,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | v124(constB185, bitIndex0)))),
% 39.20/25.61 inference(monotonicity,[status(thm)],[22080])).
% 39.20/25.61 tff(22082,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | v124(constB185, bitIndex0))),
% 39.20/25.61 inference(transitivity,[status(thm)],[22081, 22079])).
% 39.20/25.61 tff(22083,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB185) | v145(constB185) | v115(constB185) | v116(constB185) | v172(constB185) | v118(constB185) | v124(constB185, bitIndex0))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22084,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB185) | v115(constB185) | v113(constB185) | v145(constB185) | v118(constB185) | v116(constB185) | v124(constB185, bitIndex0)),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22083, 22082])).
% 39.20/25.61 tff(22085,plain,
% 39.20/25.61 (v124(constB185, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22084, 1272, 21986, 21982, 21978, 21974, 21970, 21966])).
% 39.20/25.61 tff(22086,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22087,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22088,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0)),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22087, 22086])).
% 39.20/25.61 tff(22089,plain,
% 39.20/25.61 ((~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22088, 1289, 21913])).
% 39.20/25.61 tff(22090,plain,
% 39.20/25.61 (v121(constB185, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22089, 22085])).
% 39.20/25.61 tff(22091,plain,
% 39.20/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22092,plain,
% 39.20/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22093,plain,
% 39.20/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0)),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22092, 22091])).
% 39.20/25.61 tff(22094,plain,
% 39.20/25.61 ((~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22093, 1304, 21928])).
% 39.20/25.61 tff(22095,plain,
% 39.20/25.61 (v123(constB186, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22094, 22090])).
% 39.20/25.61 tff(22096,plain,
% 39.20/25.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22097,plain,
% 39.20/25.61 ((v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0))) <=> (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22098,plain,
% 39.20/25.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186))))),
% 39.20/25.61 inference(monotonicity,[status(thm)],[22097])).
% 39.20/25.61 tff(22099,plain,
% 39.20/25.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 39.20/25.61 inference(transitivity,[status(thm)],[22098, 22096])).
% 39.20/25.61 tff(22100,plain,
% 39.20/25.61 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22101,plain,
% 39.20/25.61 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186))),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22100, 22099])).
% 39.20/25.61 tff(22102,plain,
% 39.20/25.61 (v84(constB186, bitIndex0) | (~v94(constB186))),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22101, 1319, 22095])).
% 39.20/25.61 tff(22103,plain,
% 39.20/25.61 (v84(constB186, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22102, 21962])).
% 39.20/25.61 tff(22104,plain,
% 39.20/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22105,plain,
% 39.20/25.61 (((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0)) <=> ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22106,plain,
% 39.20/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0)))),
% 39.20/25.61 inference(monotonicity,[status(thm)],[22105])).
% 39.20/25.61 tff(22107,plain,
% 39.20/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 39.20/25.61 inference(transitivity,[status(thm)],[22106, 22104])).
% 39.20/25.61 tff(22108,plain,
% 39.20/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22109,plain,
% 39.20/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0)),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22108, 22107])).
% 39.20/25.61 tff(22110,plain,
% 39.20/25.61 ((~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22109, 1337, 22020])).
% 39.20/25.61 tff(22111,plain,
% 39.20/25.61 ((~v84(constB186, bitIndex0)) | v84(constB187, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22110, 22032])).
% 39.20/25.61 tff(22112,plain,
% 39.20/25.61 (v84(constB187, bitIndex0)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22111, 22103])).
% 39.20/25.61 tff(22113,plain,
% 39.20/25.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22114,plain,
% 39.20/25.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22115,plain,
% 39.20/25.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187)),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22114, 22113])).
% 39.20/25.61 tff(22116,plain,
% 39.20/25.61 (v145(constB187)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22115, 1356, 22112, 22078, 22041])).
% 39.20/25.61 tff(22117,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB187) | (~v145(constB187)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB187) | (~v145(constB187)))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22118,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB187) | (~v145(constB187)))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22119,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB187) | (~v145(constB187))),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22118, 22117])).
% 39.20/25.61 tff(22120,plain,
% 39.20/25.61 (v112(constB187)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22119, 1367, 22116])).
% 39.20/25.61 tff(22121,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB187) | (~v112(constB187)))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22122,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB187) | (~v112(constB187)))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22123,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB187) | (~v112(constB187))),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22122, 22121])).
% 39.20/25.61 tff(22124,plain,
% 39.20/25.61 (v111(constB187)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22123, 292, 22120])).
% 39.20/25.61 tff(22125,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB187) | (~v111(constB187)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB187) | (~v111(constB187)))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22126,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB187) | (~v111(constB187)))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22127,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB187) | (~v111(constB187))),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22126, 22125])).
% 39.20/25.61 tff(22128,plain,
% 39.20/25.61 (v110(constB187)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22127, 303, 22124])).
% 39.20/25.61 tff(22129,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB187) | (~v110(constB187)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB187) | (~v110(constB187)))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22130,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB187) | (~v110(constB187)))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22131,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB187) | (~v110(constB187))),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22130, 22129])).
% 39.20/25.61 tff(22132,plain,
% 39.20/25.61 (v109(constB187)),
% 39.20/25.61 inference(unit_resolution,[status(thm)],[22131, 314, 22128])).
% 39.20/25.61 tff(22133,plain,
% 39.20/25.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB187) | (~v109(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB187) | (~v109(constB187)))),
% 39.20/25.61 inference(rewrite,[status(thm)],[])).
% 39.20/25.61 tff(22134,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB187) | (~v109(constB187)))),
% 39.20/25.61 inference(quant_inst,[status(thm)],[])).
% 39.20/25.61 tff(22135,plain,
% 39.20/25.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB187) | (~v109(constB187))),
% 39.20/25.61 inference(modus_ponens,[status(thm)],[22134, 22133])).
% 39.22/25.61 tff(22136,plain,
% 39.22/25.61 (v108(constB187)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22135, 325, 22132])).
% 39.22/25.61 tff(22137,plain,
% 39.22/25.61 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB187) | (~v108(constB187)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB187) | (~v108(constB187)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22138,plain,
% 39.22/25.61 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB187) | (~v108(constB187)))),
% 39.22/25.61 inference(quant_inst,[status(thm)],[])).
% 39.22/25.61 tff(22139,plain,
% 39.22/25.61 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB187) | (~v108(constB187))),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22138, 22137])).
% 39.22/25.61 tff(22140,plain,
% 39.22/25.61 (v107(constB187)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22139, 336, 22136])).
% 39.22/25.61 tff(22141,assumption,(~v102(constB187)), introduced(assumption)).
% 39.22/25.61 tff(22142,plain,
% 39.22/25.61 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB187) | (~v106(constB187)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB187) | (~v106(constB187)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22143,plain,
% 39.22/25.61 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB187) | (~v106(constB187)))),
% 39.22/25.61 inference(quant_inst,[status(thm)],[])).
% 39.22/25.61 tff(22144,plain,
% 39.22/25.61 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB187) | (~v106(constB187))),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22143, 22142])).
% 39.22/25.61 tff(22145,plain,
% 39.22/25.61 (~v106(constB187)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22144, 362, 22141])).
% 39.22/25.61 tff(22146,plain,
% 39.22/25.61 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB187) | (~v26(constB187)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB187) | (~v26(constB187)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22147,plain,
% 39.22/25.61 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB187) | (~v26(constB187)))),
% 39.22/25.61 inference(quant_inst,[status(thm)],[])).
% 39.22/25.61 tff(22148,plain,
% 39.22/25.61 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB187) | (~v26(constB187))),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22147, 22146])).
% 39.22/25.61 tff(22149,plain,
% 39.22/25.61 (~v26(constB187)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22148, 753, 22141])).
% 39.22/25.61 tff(22150,assumption,(v107(constB187)), introduced(assumption)).
% 39.22/25.61 tff(22151,plain,
% 39.22/25.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | v106(constB187) | (~v107(constB187)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22152,plain,
% 39.22/25.61 ((v26(constB187) | (~v107(constB187)) | v106(constB187)) <=> (v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22153,plain,
% 39.22/25.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | v106(constB187) | (~v107(constB187))))),
% 39.22/25.61 inference(monotonicity,[status(thm)],[22152])).
% 39.22/25.61 tff(22154,plain,
% 39.22/25.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 39.22/25.61 inference(transitivity,[status(thm)],[22153, 22151])).
% 39.22/25.61 tff(22155,plain,
% 39.22/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))),
% 39.22/25.61 inference(quant_inst,[status(thm)],[])).
% 39.22/25.61 tff(22156,plain,
% 39.22/25.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187))),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22155, 22154])).
% 39.22/25.61 tff(22157,plain,
% 39.22/25.61 (v26(constB187) | v106(constB187)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22156, 350, 22150])).
% 39.22/25.61 tff(22158,plain,
% 39.22/25.61 ($false),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22157, 22149, 22145])).
% 39.22/25.61 tff(22159,plain,(v102(constB187) | (~v107(constB187))), inference(lemma,lemma(discharge,[]))).
% 39.22/25.61 tff(22160,plain,
% 39.22/25.61 (v102(constB187)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22159, 22140])).
% 39.22/25.61 tff(22161,plain,
% 39.22/25.61 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22162,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 39.22/25.61 tff(22163,plain,
% 39.22/25.61 (nextState(constB187, constB188)),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 39.22/25.61 tff(22164,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22165,plain,
% 39.22/25.61 (((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188)) <=> ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22166,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187))))),
% 39.22/25.61 inference(monotonicity,[status(thm)],[22165])).
% 39.22/25.61 tff(22167,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 39.22/25.61 inference(transitivity,[status(thm)],[22166, 22164])).
% 39.22/25.61 tff(22168,plain,
% 39.22/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))),
% 39.22/25.61 inference(quant_inst,[status(thm)],[])).
% 39.22/25.61 tff(22169,plain,
% 39.22/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187))),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22168, 22167])).
% 39.22/25.61 tff(22170,plain,
% 39.22/25.61 (v104(constB188) | (~v102(constB187))),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22169, 379, 22163])).
% 39.22/25.61 tff(22171,plain,
% 39.22/25.61 (v104(constB188)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22170, 22160])).
% 39.22/25.61 tff(22172,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22173,plain,
% 39.22/25.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))),
% 39.22/25.61 inference(quant_inst,[status(thm)],[])).
% 39.22/25.61 tff(22174,plain,
% 39.22/25.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188))),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22173, 22172])).
% 39.22/25.61 tff(22175,plain,
% 39.22/25.61 (~v98(constB188)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22174, 397, 22163, 22017])).
% 39.22/25.61 tff(22176,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22177,plain,
% 39.22/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))),
% 39.22/25.61 inference(quant_inst,[status(thm)],[])).
% 39.22/25.61 tff(22178,plain,
% 39.22/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB187, constB188)) | v96(constB188) | v98(constB188)),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22177, 22176])).
% 39.22/25.61 tff(22179,plain,
% 39.22/25.61 (v96(constB188) | v98(constB188)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22178, 411, 22163])).
% 39.22/25.61 tff(22180,plain,
% 39.22/25.61 (v96(constB188)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22179, 22175])).
% 39.22/25.61 tff(22181,plain,
% 39.22/25.61 (v1(constB188) <=> v1(constB188)),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22182,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 39.22/25.61 tff(22183,plain,
% 39.22/25.61 (v1(constB188)),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22182, 22181])).
% 39.22/25.61 tff(22184,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22185,plain,
% 39.22/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))),
% 39.22/25.61 inference(quant_inst,[status(thm)],[])).
% 39.22/25.61 tff(22186,plain,
% 39.22/25.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188))),
% 39.22/25.61 inference(modus_ponens,[status(thm)],[22185, 22184])).
% 39.22/25.61 tff(22187,plain,
% 39.22/25.61 (v95(constB188) | (~v96(constB188))),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22186, 429, 22163, 22183])).
% 39.22/25.61 tff(22188,plain,
% 39.22/25.61 (v95(constB188)),
% 39.22/25.61 inference(unit_resolution,[status(thm)],[22187, 22180])).
% 39.22/25.61 tff(22189,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22190,plain,
% 39.22/25.61 (((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188)) <=> ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 39.22/25.61 inference(rewrite,[status(thm)],[])).
% 39.22/25.61 tff(22191,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188))))),
% 39.22/25.61 inference(monotonicity,[status(thm)],[22190])).
% 39.22/25.61 tff(22192,plain,
% 39.22/25.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 39.22/25.62 inference(transitivity,[status(thm)],[22191, 22189])).
% 39.22/25.62 tff(22193,plain,
% 39.22/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))),
% 39.22/25.62 inference(quant_inst,[status(thm)],[])).
% 39.22/25.62 tff(22194,plain,
% 39.22/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188))),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22193, 22192])).
% 39.22/25.62 tff(22195,plain,
% 39.22/25.62 (v94(constB188) | (~v95(constB188)) | (~v104(constB188))),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22194, 444, 22163])).
% 39.22/25.62 tff(22196,plain,
% 39.22/25.62 (v94(constB188) | (~v104(constB188))),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22195, 22188])).
% 39.22/25.62 tff(22197,plain,
% 39.22/25.62 (v94(constB188)),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22196, 22171])).
% 39.22/25.62 tff(22198,plain,
% 39.22/25.62 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB187)) | (~v124(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB187)) | (~v124(constB187, bitIndex2)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22199,plain,
% 39.22/25.62 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB187)) | (~v124(constB187, bitIndex2)))),
% 39.22/25.62 inference(quant_inst,[status(thm)],[])).
% 39.22/25.62 tff(22200,plain,
% 39.22/25.62 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB187)) | (~v124(constB187, bitIndex2))),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22199, 22198])).
% 39.22/25.62 tff(22201,plain,
% 39.22/25.62 (~v124(constB187, bitIndex2)),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22200, 1451, 22116])).
% 39.22/25.62 tff(22202,assumption,(v26(constB187)), introduced(assumption)).
% 39.22/25.62 tff(22203,plain,
% 39.22/25.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 39.22/25.62 inference(quant_inst,[status(thm)],[])).
% 39.22/25.62 tff(22204,plain,
% 39.22/25.62 ($false),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22203, 120, 22202])).
% 39.22/25.62 tff(22205,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 39.22/25.62 tff(22206,plain,
% 39.22/25.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22207,plain,
% 39.22/25.62 ((v26(constB187) | v124(constB187, bitIndex2) | (~v121(constB187, bitIndex2))) <=> ((~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22208,plain,
% 39.22/25.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB187) | v124(constB187, bitIndex2) | (~v121(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2)))),
% 39.22/25.62 inference(monotonicity,[status(thm)],[22207])).
% 39.22/25.62 tff(22209,plain,
% 39.22/25.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB187) | v124(constB187, bitIndex2) | (~v121(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2))),
% 39.22/25.62 inference(transitivity,[status(thm)],[22208, 22206])).
% 39.22/25.62 tff(22210,plain,
% 39.22/25.62 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB187) | v124(constB187, bitIndex2) | (~v121(constB187, bitIndex2)))),
% 39.22/25.62 inference(quant_inst,[status(thm)],[])).
% 39.22/25.62 tff(22211,plain,
% 39.22/25.62 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB187, bitIndex2)) | v26(constB187) | v124(constB187, bitIndex2)),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22210, 22209])).
% 39.22/25.62 tff(22212,plain,
% 39.22/25.62 ((~v121(constB187, bitIndex2)) | v124(constB187, bitIndex2)),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22211, 1147, 22205])).
% 39.22/25.62 tff(22213,plain,
% 39.22/25.62 (~v121(constB187, bitIndex2)),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22212, 22201])).
% 39.22/25.62 tff(22214,plain,
% 39.22/25.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22215,plain,
% 39.22/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2)))),
% 39.22/25.62 inference(quant_inst,[status(thm)],[])).
% 39.22/25.62 tff(22216,plain,
% 39.22/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2))),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22215, 22214])).
% 39.22/25.62 tff(22217,plain,
% 39.22/25.62 (v121(constB187, bitIndex2) | (~v123(constB188, bitIndex2))),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22216, 1165, 22163])).
% 39.22/25.62 tff(22218,plain,
% 39.22/25.62 (~v123(constB188, bitIndex2)),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22217, 22213])).
% 39.22/25.62 tff(22219,plain,
% 39.22/25.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22220,plain,
% 39.22/25.62 (((~v84(constB188, bitIndex2)) | (~v94(constB188)) | v123(constB188, bitIndex2)) <=> ((~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22221,plain,
% 39.22/25.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~v94(constB188)) | v123(constB188, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188))))),
% 39.22/25.62 inference(monotonicity,[status(thm)],[22220])).
% 39.22/25.62 tff(22222,plain,
% 39.22/25.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~v94(constB188)) | v123(constB188, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188)))),
% 39.22/25.62 inference(transitivity,[status(thm)],[22221, 22219])).
% 39.22/25.62 tff(22223,plain,
% 39.22/25.62 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~v94(constB188)) | v123(constB188, bitIndex2))),
% 39.22/25.62 inference(quant_inst,[status(thm)],[])).
% 39.22/25.62 tff(22224,plain,
% 39.22/25.62 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | v123(constB188, bitIndex2) | (~v94(constB188))),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22223, 22222])).
% 39.22/25.62 tff(22225,plain,
% 39.22/25.62 ((~v84(constB188, bitIndex2)) | (~v94(constB188))),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22224, 1180, 22218])).
% 39.22/25.62 tff(22226,plain,
% 39.22/25.62 (~v84(constB188, bitIndex2)),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22225, 22197])).
% 39.22/25.62 tff(22227,plain,
% 39.22/25.62 ((~v1(constB189)) <=> (~v1(constB189))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22228,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 39.22/25.62 tff(22229,plain,
% 39.22/25.62 (~v1(constB189)),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22228, 22227])).
% 39.22/25.62 tff(22230,plain,
% 39.22/25.62 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22231,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 39.22/25.62 tff(22232,plain,
% 39.22/25.62 (nextState(constB188, constB189)),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22231, 22230])).
% 39.22/25.62 tff(22233,plain,
% 39.22/25.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22234,plain,
% 39.22/25.62 (((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22235,plain,
% 39.22/25.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189))))),
% 39.22/25.62 inference(monotonicity,[status(thm)],[22234])).
% 39.22/25.62 tff(22236,plain,
% 39.22/25.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 39.22/25.62 inference(transitivity,[status(thm)],[22235, 22233])).
% 39.22/25.62 tff(22237,plain,
% 39.22/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))),
% 39.22/25.62 inference(quant_inst,[status(thm)],[])).
% 39.22/25.62 tff(22238,plain,
% 39.22/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189))),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22237, 22236])).
% 39.22/25.62 tff(22239,plain,
% 39.22/25.62 (~v95(constB189)),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22238, 175, 22232, 22229])).
% 39.22/25.62 tff(22240,plain,
% 39.22/25.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22241,plain,
% 39.22/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))),
% 39.22/25.62 inference(quant_inst,[status(thm)],[])).
% 39.22/25.62 tff(22242,plain,
% 39.22/25.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189))),
% 39.22/25.62 inference(modus_ponens,[status(thm)],[22241, 22240])).
% 39.22/25.62 tff(22243,plain,
% 39.22/25.62 (v95(constB189) | (~v94(constB189))),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22242, 192, 22232])).
% 39.22/25.62 tff(22244,plain,
% 39.22/25.62 (~v94(constB189)),
% 39.22/25.62 inference(unit_resolution,[status(thm)],[22243, 22239])).
% 39.22/25.62 tff(22245,plain,
% 39.22/25.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22246,plain,
% 39.22/25.62 (((~nextState(constB188, constB189)) | v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2))) <=> (v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2)))),
% 39.22/25.62 inference(rewrite,[status(thm)],[])).
% 39.22/25.62 tff(22247,plain,
% 39.22/25.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2))))),
% 39.22/25.63 inference(monotonicity,[status(thm)],[22246])).
% 39.22/25.63 tff(22248,plain,
% 39.22/25.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2)))),
% 39.22/25.63 inference(transitivity,[status(thm)],[22247, 22245])).
% 39.22/25.63 tff(22249,plain,
% 39.22/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2)))),
% 39.22/25.63 inference(quant_inst,[status(thm)],[])).
% 39.22/25.63 tff(22250,plain,
% 39.22/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex2))),
% 39.22/25.63 inference(modus_ponens,[status(thm)],[22249, 22248])).
% 39.22/25.63 tff(22251,plain,
% 39.22/25.63 (v84(constB188, bitIndex2) | v94(constB189) | (~v84(constB189, bitIndex2))),
% 39.22/25.63 inference(unit_resolution,[status(thm)],[22250, 207, 22232])).
% 39.22/25.63 tff(22252,plain,
% 39.22/25.63 (v84(constB188, bitIndex2) | (~v84(constB189, bitIndex2))),
% 39.22/25.63 inference(unit_resolution,[status(thm)],[22251, 22244])).
% 39.22/25.63 tff(22253,plain,
% 39.22/25.63 (~v84(constB189, bitIndex2)),
% 39.22/25.63 inference(unit_resolution,[status(thm)],[22252, 22226])).
% 39.22/25.63 tff(22254,plain,
% 39.22/25.63 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB187)) | v124(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB187)) | v124(constB187, bitIndex1))),
% 39.22/25.63 inference(rewrite,[status(thm)],[])).
% 39.22/25.63 tff(22255,plain,
% 39.22/25.63 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB187)) | v124(constB187, bitIndex1))),
% 39.22/25.63 inference(quant_inst,[status(thm)],[])).
% 39.22/25.63 tff(22256,plain,
% 39.22/25.63 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB187)) | v124(constB187, bitIndex1)),
% 39.22/25.63 inference(modus_ponens,[status(thm)],[22255, 22254])).
% 39.22/25.63 tff(22257,plain,
% 39.22/25.63 (v124(constB187, bitIndex1)),
% 39.22/25.63 inference(unit_resolution,[status(thm)],[22256, 1513, 22116])).
% 39.22/25.63 tff(22258,plain,
% 39.22/25.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB187) | (~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB187) | (~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22259,plain,
% 39.23/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB187) | (~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1))),
% 39.23/25.63 inference(quant_inst,[status(thm)],[])).
% 39.23/25.63 tff(22260,plain,
% 39.23/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB187) | (~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1)),
% 39.23/25.63 inference(modus_ponens,[status(thm)],[22259, 22258])).
% 39.23/25.63 tff(22261,plain,
% 39.23/25.63 ((~v124(constB187, bitIndex1)) | v121(constB187, bitIndex1)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22260, 875, 22205])).
% 39.23/25.63 tff(22262,plain,
% 39.23/25.63 (v121(constB187, bitIndex1)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22261, 22257])).
% 39.23/25.63 tff(22263,plain,
% 39.23/25.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22264,plain,
% 39.23/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1))),
% 39.23/25.63 inference(quant_inst,[status(thm)],[])).
% 39.23/25.63 tff(22265,plain,
% 39.23/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1)),
% 39.23/25.63 inference(modus_ponens,[status(thm)],[22264, 22263])).
% 39.23/25.63 tff(22266,plain,
% 39.23/25.63 ((~v121(constB187, bitIndex1)) | v123(constB188, bitIndex1)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22265, 890, 22163])).
% 39.23/25.63 tff(22267,plain,
% 39.23/25.63 (v123(constB188, bitIndex1)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22266, 22262])).
% 39.23/25.63 tff(22268,plain,
% 39.23/25.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188)))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22269,plain,
% 39.23/25.63 ((v84(constB188, bitIndex1) | (~v94(constB188)) | (~v123(constB188, bitIndex1))) <=> (v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188)))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22270,plain,
% 39.23/25.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v94(constB188)) | (~v123(constB188, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188))))),
% 39.23/25.63 inference(monotonicity,[status(thm)],[22269])).
% 39.23/25.63 tff(22271,plain,
% 39.23/25.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v94(constB188)) | (~v123(constB188, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188)))),
% 39.23/25.63 inference(transitivity,[status(thm)],[22270, 22268])).
% 39.23/25.63 tff(22272,plain,
% 39.23/25.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~v94(constB188)) | (~v123(constB188, bitIndex1)))),
% 39.23/25.63 inference(quant_inst,[status(thm)],[])).
% 39.23/25.63 tff(22273,plain,
% 39.23/25.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~v123(constB188, bitIndex1)) | (~v94(constB188))),
% 39.23/25.63 inference(modus_ponens,[status(thm)],[22272, 22271])).
% 39.23/25.63 tff(22274,plain,
% 39.23/25.63 (v84(constB188, bitIndex1) | (~v94(constB188))),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22273, 905, 22267])).
% 39.23/25.63 tff(22275,plain,
% 39.23/25.63 (v84(constB188, bitIndex1)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22274, 22197])).
% 39.23/25.63 tff(22276,plain,
% 39.23/25.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22277,plain,
% 39.23/25.63 (((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1)) <=> ((~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22278,plain,
% 39.23/25.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1)))),
% 39.23/25.63 inference(monotonicity,[status(thm)],[22277])).
% 39.23/25.63 tff(22279,plain,
% 39.23/25.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1))),
% 39.23/25.63 inference(transitivity,[status(thm)],[22278, 22276])).
% 39.23/25.63 tff(22280,plain,
% 39.23/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1))),
% 39.23/25.63 inference(quant_inst,[status(thm)],[])).
% 39.23/25.63 tff(22281,plain,
% 39.23/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex1)),
% 39.23/25.63 inference(modus_ponens,[status(thm)],[22280, 22279])).
% 39.23/25.63 tff(22282,plain,
% 39.23/25.63 ((~v84(constB188, bitIndex1)) | v94(constB189) | v84(constB189, bitIndex1)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22281, 923, 22232])).
% 39.23/25.63 tff(22283,plain,
% 39.23/25.63 ((~v84(constB188, bitIndex1)) | v84(constB189, bitIndex1)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22282, 22244])).
% 39.23/25.63 tff(22284,plain,
% 39.23/25.63 (v84(constB189, bitIndex1)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22283, 22275])).
% 39.23/25.63 tff(22285,plain,
% 39.23/25.63 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB187)) | (~v124(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB187)) | (~v124(constB187, bitIndex0)))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22286,plain,
% 39.23/25.63 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB187)) | (~v124(constB187, bitIndex0)))),
% 39.23/25.63 inference(quant_inst,[status(thm)],[])).
% 39.23/25.63 tff(22287,plain,
% 39.23/25.63 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB187)) | (~v124(constB187, bitIndex0))),
% 39.23/25.63 inference(modus_ponens,[status(thm)],[22286, 22285])).
% 39.23/25.63 tff(22288,plain,
% 39.23/25.63 (~v124(constB187, bitIndex0)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22287, 1554, 22116])).
% 39.23/25.63 tff(22289,plain,
% 39.23/25.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22290,plain,
% 39.23/25.63 ((v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0))) <=> ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22291,plain,
% 39.23/25.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0)))),
% 39.23/25.63 inference(monotonicity,[status(thm)],[22290])).
% 39.23/25.63 tff(22292,plain,
% 39.23/25.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 39.23/25.63 inference(transitivity,[status(thm)],[22291, 22289])).
% 39.23/25.63 tff(22293,plain,
% 39.23/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))),
% 39.23/25.63 inference(quant_inst,[status(thm)],[])).
% 39.23/25.63 tff(22294,plain,
% 39.23/25.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0)),
% 39.23/25.63 inference(modus_ponens,[status(thm)],[22293, 22292])).
% 39.23/25.63 tff(22295,plain,
% 39.23/25.63 ((~v121(constB187, bitIndex0)) | v124(constB187, bitIndex0)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22294, 650, 22205])).
% 39.23/25.63 tff(22296,plain,
% 39.23/25.63 (~v121(constB187, bitIndex0)),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22295, 22288])).
% 39.23/25.63 tff(22297,plain,
% 39.23/25.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))),
% 39.23/25.63 inference(rewrite,[status(thm)],[])).
% 39.23/25.63 tff(22298,plain,
% 39.23/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))),
% 39.23/25.63 inference(quant_inst,[status(thm)],[])).
% 39.23/25.63 tff(22299,plain,
% 39.23/25.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0))),
% 39.23/25.63 inference(modus_ponens,[status(thm)],[22298, 22297])).
% 39.23/25.63 tff(22300,plain,
% 39.23/25.63 (v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0))),
% 39.23/25.63 inference(unit_resolution,[status(thm)],[22299, 668, 22163])).
% 39.23/25.63 tff(22301,plain,
% 39.23/25.63 (~v123(constB188, bitIndex0)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22300, 22296])).
% 39.23/25.64 tff(22302,plain,
% 39.23/25.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22303,plain,
% 39.23/25.64 (((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0)) <=> ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22304,plain,
% 39.23/25.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188))))),
% 39.23/25.64 inference(monotonicity,[status(thm)],[22303])).
% 39.23/25.64 tff(22305,plain,
% 39.23/25.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 39.23/25.64 inference(transitivity,[status(thm)],[22304, 22302])).
% 39.23/25.64 tff(22306,plain,
% 39.23/25.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22307,plain,
% 39.23/25.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188))),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22306, 22305])).
% 39.23/25.64 tff(22308,plain,
% 39.23/25.64 ((~v84(constB188, bitIndex0)) | (~v94(constB188))),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22307, 683, 22301])).
% 39.23/25.64 tff(22309,plain,
% 39.23/25.64 (~v84(constB188, bitIndex0)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22308, 22197])).
% 39.23/25.64 tff(22310,plain,
% 39.23/25.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22311,plain,
% 39.23/25.64 (((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0))) <=> (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22312,plain,
% 39.23/25.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0))))),
% 39.23/25.64 inference(monotonicity,[status(thm)],[22311])).
% 39.23/25.64 tff(22313,plain,
% 39.23/25.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 39.23/25.64 inference(transitivity,[status(thm)],[22312, 22310])).
% 39.23/25.64 tff(22314,plain,
% 39.23/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22315,plain,
% 39.23/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0))),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22314, 22313])).
% 39.23/25.64 tff(22316,plain,
% 39.23/25.64 (v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0))),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22315, 249, 22232])).
% 39.23/25.64 tff(22317,plain,
% 39.23/25.64 (v84(constB188, bitIndex0) | (~v84(constB189, bitIndex0))),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22316, 22244])).
% 39.23/25.64 tff(22318,plain,
% 39.23/25.64 (~v84(constB189, bitIndex0)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22317, 22309])).
% 39.23/25.64 tff(22319,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v115(constB189))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v115(constB189))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22320,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v115(constB189))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22321,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB189, bitIndex0) | (~v84(constB189, bitIndex1)) | v84(constB189, bitIndex2) | v115(constB189)),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 39.23/25.64 tff(22322,plain,
% 39.23/25.64 (v115(constB189)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22321, 1598, 22318, 22284, 22253])).
% 39.23/25.64 tff(22323,plain,
% 39.23/25.64 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB189)) | v124(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB189)) | v124(constB189, bitIndex1))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22324,plain,
% 39.23/25.64 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB189)) | v124(constB189, bitIndex1))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22325,plain,
% 39.23/25.64 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB189)) | v124(constB189, bitIndex1)),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22324, 22323])).
% 39.23/25.64 tff(22326,plain,
% 39.23/25.64 (v124(constB189, bitIndex1)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22325, 1750, 22322])).
% 39.23/25.64 tff(22327,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB189) | (~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB189) | (~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22328,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB189) | (~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22329,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB189) | (~v124(constB189, bitIndex1)) | v121(constB189, bitIndex1)),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22328, 22327])).
% 39.23/25.64 tff(22330,plain,
% 39.23/25.64 (v26(constB189) | v121(constB189, bitIndex1)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22329, 875, 22326])).
% 39.23/25.64 tff(22331,plain,
% 39.23/25.64 (v121(constB189, bitIndex1)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22330, 20248])).
% 39.23/25.64 tff(22332,plain,
% 39.23/25.64 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22333,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 39.23/25.64 tff(22334,plain,
% 39.23/25.64 (nextState(constB189, constB190)),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22333, 22332])).
% 39.23/25.64 tff(22335,plain,
% 39.23/25.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22336,plain,
% 39.23/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22337,plain,
% 39.23/25.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1)),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22336, 22335])).
% 39.23/25.64 tff(22338,plain,
% 39.23/25.64 ((~v121(constB189, bitIndex1)) | v123(constB190, bitIndex1)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22337, 890, 22334])).
% 39.23/25.64 tff(22339,plain,
% 39.23/25.64 (v123(constB190, bitIndex1)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22338, 22331])).
% 39.23/25.64 tff(22340,assumption,(~v26(constB189)), introduced(assumption)).
% 39.23/25.64 tff(22341,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB189) | (~v115(constB189)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22342,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB189) | (~v115(constB189)))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22343,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB189) | (~v115(constB189))),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22342, 22341])).
% 39.23/25.64 tff(22344,plain,
% 39.23/25.64 (v111(constB189)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22343, 1609, 22322])).
% 39.23/25.64 tff(22345,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB189) | (~v111(constB189)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB189) | (~v111(constB189)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22346,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB189) | (~v111(constB189)))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22347,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB189) | (~v111(constB189))),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22346, 22345])).
% 39.23/25.64 tff(22348,plain,
% 39.23/25.64 (v110(constB189)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22347, 303, 22344])).
% 39.23/25.64 tff(22349,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB189) | (~v110(constB189)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB189) | (~v110(constB189)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22350,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB189) | (~v110(constB189)))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22351,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB189) | (~v110(constB189))),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22350, 22349])).
% 39.23/25.64 tff(22352,plain,
% 39.23/25.64 (v109(constB189)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22351, 314, 22348])).
% 39.23/25.64 tff(22353,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB189) | (~v109(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB189) | (~v109(constB189)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22354,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB189) | (~v109(constB189)))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22355,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB189) | (~v109(constB189))),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22354, 22353])).
% 39.23/25.64 tff(22356,plain,
% 39.23/25.64 (v108(constB189)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22355, 325, 22352])).
% 39.23/25.64 tff(22357,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB189) | (~v108(constB189)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB189) | (~v108(constB189)))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22358,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB189) | (~v108(constB189)))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22359,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB189) | (~v108(constB189))),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22358, 22357])).
% 39.23/25.64 tff(22360,plain,
% 39.23/25.64 (v107(constB189)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22359, 336, 22356])).
% 39.23/25.64 tff(22361,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB189) | (~v107(constB189)) | v106(constB189))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB189) | (~v107(constB189)) | v106(constB189))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22362,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB189) | (~v107(constB189)) | v106(constB189))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22363,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB189) | (~v107(constB189)) | v106(constB189)),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22362, 22361])).
% 39.23/25.64 tff(22364,plain,
% 39.23/25.64 (v26(constB189) | v106(constB189)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22363, 350, 22360])).
% 39.23/25.64 tff(22365,plain,
% 39.23/25.64 (v106(constB189)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22364, 22340])).
% 39.23/25.64 tff(22366,plain,
% 39.23/25.64 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB189)) | v124(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB189)) | v124(constB189, bitIndex0))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22367,plain,
% 39.23/25.64 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB189)) | v124(constB189, bitIndex0))),
% 39.23/25.64 inference(quant_inst,[status(thm)],[])).
% 39.23/25.64 tff(22368,plain,
% 39.23/25.64 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB189)) | v124(constB189, bitIndex0)),
% 39.23/25.64 inference(modus_ponens,[status(thm)],[22367, 22366])).
% 39.23/25.64 tff(22369,plain,
% 39.23/25.64 (v124(constB189, bitIndex0)),
% 39.23/25.64 inference(unit_resolution,[status(thm)],[22368, 1791, 22322])).
% 39.23/25.64 tff(22370,plain,
% 39.23/25.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))),
% 39.23/25.64 inference(rewrite,[status(thm)],[])).
% 39.23/25.64 tff(22371,plain,
% 39.23/25.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22372,plain,
% 39.23/25.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0)),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22371, 22370])).
% 39.23/25.65 tff(22373,plain,
% 39.23/25.65 (v26(constB189) | v121(constB189, bitIndex0)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22372, 1289, 22369])).
% 39.23/25.65 tff(22374,plain,
% 39.23/25.65 (v121(constB189, bitIndex0)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22373, 22340])).
% 39.23/25.65 tff(22375,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22376,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22377,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0)),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 39.23/25.65 tff(22378,plain,
% 39.23/25.65 ((~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22377, 1304, 22334])).
% 39.23/25.65 tff(22379,plain,
% 39.23/25.65 (v123(constB190, bitIndex0)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22378, 22374])).
% 39.23/25.65 tff(22380,assumption,(~v84(constB190, bitIndex0)), introduced(assumption)).
% 39.23/25.65 tff(22381,plain,
% 39.23/25.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22382,plain,
% 39.23/25.65 ((v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0))) <=> (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22383,plain,
% 39.23/25.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190))))),
% 39.23/25.65 inference(monotonicity,[status(thm)],[22382])).
% 39.23/25.65 tff(22384,plain,
% 39.23/25.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 39.23/25.65 inference(transitivity,[status(thm)],[22383, 22381])).
% 39.23/25.65 tff(22385,plain,
% 39.23/25.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22386,plain,
% 39.23/25.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22385, 22384])).
% 39.23/25.65 tff(22387,plain,
% 39.23/25.65 ((~v123(constB190, bitIndex0)) | (~v94(constB190))),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22386, 1319, 22380])).
% 39.23/25.65 tff(22388,plain,
% 39.23/25.65 (~v94(constB190)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22387, 22379])).
% 39.23/25.65 tff(22389,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22390,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22391,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22390, 22389])).
% 39.23/25.65 tff(22392,plain,
% 39.23/25.65 (~v98(constB190)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22391, 397, 22334, 22229])).
% 39.23/25.65 tff(22393,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22394,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22395,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB189, constB190)) | v96(constB190) | v98(constB190)),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22394, 22393])).
% 39.23/25.65 tff(22396,plain,
% 39.23/25.65 (v96(constB190) | v98(constB190)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22395, 411, 22334])).
% 39.23/25.65 tff(22397,plain,
% 39.23/25.65 (v96(constB190)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22396, 22392])).
% 39.23/25.65 tff(22398,plain,
% 39.23/25.65 (v1(constB190) <=> v1(constB190)),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22399,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 39.23/25.65 tff(22400,plain,
% 39.23/25.65 (v1(constB190)),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22399, 22398])).
% 39.23/25.65 tff(22401,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22402,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22403,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 39.23/25.65 tff(22404,plain,
% 39.23/25.65 (v95(constB190) | (~v96(constB190))),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22403, 429, 22334, 22400])).
% 39.23/25.65 tff(22405,plain,
% 39.23/25.65 (v95(constB190)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22404, 22397])).
% 39.23/25.65 tff(22406,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22407,plain,
% 39.23/25.65 (((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190)) <=> ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22408,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190))))),
% 39.23/25.65 inference(monotonicity,[status(thm)],[22407])).
% 39.23/25.65 tff(22409,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 39.23/25.65 inference(transitivity,[status(thm)],[22408, 22406])).
% 39.23/25.65 tff(22410,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22411,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 39.23/25.65 tff(22412,plain,
% 39.23/25.65 (v94(constB190) | (~v95(constB190)) | (~v104(constB190))),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22411, 444, 22334])).
% 39.23/25.65 tff(22413,plain,
% 39.23/25.65 (v94(constB190) | (~v104(constB190))),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22412, 22405])).
% 39.23/25.65 tff(22414,plain,
% 39.23/25.65 (~v104(constB190)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22413, 22388])).
% 39.23/25.65 tff(22415,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22416,plain,
% 39.23/25.65 (((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190)) <=> ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22417,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189))))),
% 39.23/25.65 inference(monotonicity,[status(thm)],[22416])).
% 39.23/25.65 tff(22418,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 39.23/25.65 inference(transitivity,[status(thm)],[22417, 22415])).
% 39.23/25.65 tff(22419,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22420,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22419, 22418])).
% 39.23/25.65 tff(22421,plain,
% 39.23/25.65 (v104(constB190) | (~v102(constB189))),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22420, 379, 22334])).
% 39.23/25.65 tff(22422,plain,
% 39.23/25.65 (~v102(constB189)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22421, 22414])).
% 39.23/25.65 tff(22423,plain,
% 39.23/25.65 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB189) | (~v106(constB189)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB189) | (~v106(constB189)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22424,plain,
% 39.23/25.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB189) | (~v106(constB189)))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22425,plain,
% 39.23/25.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB189) | (~v106(constB189))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22424, 22423])).
% 39.23/25.65 tff(22426,plain,
% 39.23/25.65 ($false),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22425, 362, 22422, 22365])).
% 39.23/25.65 tff(22427,plain,(v26(constB189) | v84(constB190, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.65 tff(22428,plain,
% 39.23/25.65 (v84(constB190, bitIndex0)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22427, 20248])).
% 39.23/25.65 tff(22429,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22430,plain,
% 39.23/25.65 (((~nextState(constB189, constB190)) | v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0))) <=> (v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22431,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0))))),
% 39.23/25.65 inference(monotonicity,[status(thm)],[22430])).
% 39.23/25.65 tff(22432,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0)))),
% 39.23/25.65 inference(transitivity,[status(thm)],[22431, 22429])).
% 39.23/25.65 tff(22433,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0)))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22434,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v94(constB190) | (~v84(constB190, bitIndex0))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22433, 22432])).
% 39.23/25.65 tff(22435,plain,
% 39.23/25.65 (v84(constB189, bitIndex0) | v94(constB190) | (~v84(constB190, bitIndex0))),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22434, 249, 22334])).
% 39.23/25.65 tff(22436,plain,
% 39.23/25.65 (v94(constB190) | (~v84(constB190, bitIndex0))),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22435, 22318])).
% 39.23/25.65 tff(22437,plain,
% 39.23/25.65 (v94(constB190)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22436, 22428])).
% 39.23/25.65 tff(22438,plain,
% 39.23/25.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22439,plain,
% 39.23/25.65 ((v84(constB190, bitIndex1) | (~v94(constB190)) | (~v123(constB190, bitIndex1))) <=> (v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22440,plain,
% 39.23/25.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v94(constB190)) | (~v123(constB190, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190))))),
% 39.23/25.65 inference(monotonicity,[status(thm)],[22439])).
% 39.23/25.65 tff(22441,plain,
% 39.23/25.65 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v94(constB190)) | (~v123(constB190, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190)))),
% 39.23/25.65 inference(transitivity,[status(thm)],[22440, 22438])).
% 39.23/25.65 tff(22442,plain,
% 39.23/25.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~v94(constB190)) | (~v123(constB190, bitIndex1)))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22443,plain,
% 39.23/25.65 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~v123(constB190, bitIndex1)) | (~v94(constB190))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22442, 22441])).
% 39.23/25.65 tff(22444,plain,
% 39.23/25.65 (v84(constB190, bitIndex1)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22443, 905, 22437, 22339])).
% 39.23/25.65 tff(22445,plain,
% 39.23/25.65 ((~v1(constB191)) <=> (~v1(constB191))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22446,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 39.23/25.65 tff(22447,plain,
% 39.23/25.65 (~v1(constB191)),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22446, 22445])).
% 39.23/25.65 tff(22448,plain,
% 39.23/25.65 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22449,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 39.23/25.65 tff(22450,plain,
% 39.23/25.65 (nextState(constB190, constB191)),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22449, 22448])).
% 39.23/25.65 tff(22451,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22452,plain,
% 39.23/25.65 (((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22453,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191))))),
% 39.23/25.65 inference(monotonicity,[status(thm)],[22452])).
% 39.23/25.65 tff(22454,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 39.23/25.65 inference(transitivity,[status(thm)],[22453, 22451])).
% 39.23/25.65 tff(22455,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22456,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22455, 22454])).
% 39.23/25.65 tff(22457,plain,
% 39.23/25.65 (~v95(constB191)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22456, 175, 22450, 22447])).
% 39.23/25.65 tff(22458,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22459,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22460,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22459, 22458])).
% 39.23/25.65 tff(22461,plain,
% 39.23/25.65 (v95(constB191) | (~v94(constB191))),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22460, 192, 22450])).
% 39.23/25.65 tff(22462,plain,
% 39.23/25.65 (~v94(constB191)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22461, 22457])).
% 39.23/25.65 tff(22463,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22464,plain,
% 39.23/25.65 (((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1)) <=> ((~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22465,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1)))),
% 39.23/25.65 inference(monotonicity,[status(thm)],[22464])).
% 39.23/25.65 tff(22466,plain,
% 39.23/25.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1))),
% 39.23/25.65 inference(transitivity,[status(thm)],[22465, 22463])).
% 39.23/25.65 tff(22467,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22468,plain,
% 39.23/25.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex1)),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22467, 22466])).
% 39.23/25.65 tff(22469,plain,
% 39.23/25.65 ((~v84(constB190, bitIndex1)) | v94(constB191) | v84(constB191, bitIndex1)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22468, 923, 22450])).
% 39.23/25.65 tff(22470,plain,
% 39.23/25.65 ((~v84(constB190, bitIndex1)) | v84(constB191, bitIndex1)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22469, 22462])).
% 39.23/25.65 tff(22471,plain,
% 39.23/25.65 (v84(constB191, bitIndex1)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22470, 22444])).
% 39.23/25.65 tff(22472,plain,
% 39.23/25.65 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB189)) | (~v124(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB189)) | (~v124(constB189, bitIndex2)))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22473,plain,
% 39.23/25.65 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB189)) | (~v124(constB189, bitIndex2)))),
% 39.23/25.65 inference(quant_inst,[status(thm)],[])).
% 39.23/25.65 tff(22474,plain,
% 39.23/25.65 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB189)) | (~v124(constB189, bitIndex2))),
% 39.23/25.65 inference(modus_ponens,[status(thm)],[22473, 22472])).
% 39.23/25.65 tff(22475,plain,
% 39.23/25.65 (~v124(constB189, bitIndex2)),
% 39.23/25.65 inference(unit_resolution,[status(thm)],[22474, 1688, 22322])).
% 39.23/25.65 tff(22476,plain,
% 39.23/25.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22477,plain,
% 39.23/25.65 ((v26(constB189) | v124(constB189, bitIndex2) | (~v121(constB189, bitIndex2))) <=> ((~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2))),
% 39.23/25.65 inference(rewrite,[status(thm)],[])).
% 39.23/25.65 tff(22478,plain,
% 39.23/25.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB189) | v124(constB189, bitIndex2) | (~v121(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2)))),
% 39.23/25.65 inference(monotonicity,[status(thm)],[22477])).
% 39.23/25.65 tff(22479,plain,
% 39.23/25.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB189) | v124(constB189, bitIndex2) | (~v121(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2))),
% 39.23/25.66 inference(transitivity,[status(thm)],[22478, 22476])).
% 39.23/25.66 tff(22480,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB189) | v124(constB189, bitIndex2) | (~v121(constB189, bitIndex2)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22481,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB189, bitIndex2)) | v26(constB189) | v124(constB189, bitIndex2)),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22480, 22479])).
% 39.23/25.66 tff(22482,plain,
% 39.23/25.66 ((~v121(constB189, bitIndex2)) | v26(constB189)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22481, 1147, 22475])).
% 39.23/25.66 tff(22483,plain,
% 39.23/25.66 (~v121(constB189, bitIndex2)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22482, 20248])).
% 39.23/25.66 tff(22484,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22485,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22486,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22485, 22484])).
% 39.23/25.66 tff(22487,plain,
% 39.23/25.66 (v121(constB189, bitIndex2) | (~v123(constB190, bitIndex2))),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22486, 1165, 22334])).
% 39.23/25.66 tff(22488,plain,
% 39.23/25.66 (~v123(constB190, bitIndex2)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22487, 22483])).
% 39.23/25.66 tff(22489,plain,
% 39.23/25.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22490,plain,
% 39.23/25.66 (((~v84(constB190, bitIndex2)) | (~v94(constB190)) | v123(constB190, bitIndex2)) <=> ((~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22491,plain,
% 39.23/25.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | (~v94(constB190)) | v123(constB190, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190))))),
% 39.23/25.66 inference(monotonicity,[status(thm)],[22490])).
% 39.23/25.66 tff(22492,plain,
% 39.23/25.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | (~v94(constB190)) | v123(constB190, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190)))),
% 39.23/25.66 inference(transitivity,[status(thm)],[22491, 22489])).
% 39.23/25.66 tff(22493,plain,
% 39.23/25.66 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | (~v94(constB190)) | v123(constB190, bitIndex2))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22494,plain,
% 39.23/25.66 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | v123(constB190, bitIndex2) | (~v94(constB190))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22493, 22492])).
% 39.23/25.66 tff(22495,plain,
% 39.23/25.66 (~v84(constB190, bitIndex2)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22494, 1180, 22437, 22488])).
% 39.23/25.66 tff(22496,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22497,plain,
% 39.23/25.66 (((~nextState(constB190, constB191)) | v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2))) <=> (v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22498,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2))))),
% 39.23/25.66 inference(monotonicity,[status(thm)],[22497])).
% 39.23/25.66 tff(22499,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2)))),
% 39.23/25.66 inference(transitivity,[status(thm)],[22498, 22496])).
% 39.23/25.66 tff(22500,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22501,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex2))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22500, 22499])).
% 39.23/25.66 tff(22502,plain,
% 39.23/25.66 (v84(constB190, bitIndex2) | v94(constB191) | (~v84(constB191, bitIndex2))),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22501, 207, 22450])).
% 39.23/25.66 tff(22503,plain,
% 39.23/25.66 (v84(constB190, bitIndex2) | (~v84(constB191, bitIndex2))),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22502, 22462])).
% 39.23/25.66 tff(22504,plain,
% 39.23/25.66 (~v84(constB191, bitIndex2)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22503, 22495])).
% 39.23/25.66 tff(22505,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22506,plain,
% 39.23/25.66 (((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0)) <=> ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22507,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0)))),
% 39.23/25.66 inference(monotonicity,[status(thm)],[22506])).
% 39.23/25.66 tff(22508,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 39.23/25.66 inference(transitivity,[status(thm)],[22507, 22505])).
% 39.23/25.66 tff(22509,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22510,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0)),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22509, 22508])).
% 39.23/25.66 tff(22511,plain,
% 39.23/25.66 ((~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22510, 1337, 22450])).
% 39.23/25.66 tff(22512,plain,
% 39.23/25.66 ((~v84(constB190, bitIndex0)) | v84(constB191, bitIndex0)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22511, 22462])).
% 39.23/25.66 tff(22513,plain,
% 39.23/25.66 (v84(constB191, bitIndex0)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22512, 22428])).
% 39.23/25.66 tff(22514,plain,
% 39.23/25.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22515,plain,
% 39.23/25.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22516,plain,
% 39.23/25.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191)),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22515, 22514])).
% 39.23/25.66 tff(22517,plain,
% 39.23/25.66 ((~v84(constB191, bitIndex1)) | v84(constB191, bitIndex2) | v116(constB191)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22516, 1832, 22513])).
% 39.23/25.66 tff(22518,plain,
% 39.23/25.66 (v116(constB191)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22517, 22504, 22471])).
% 39.23/25.66 tff(22519,plain,
% 39.23/25.66 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB191)) | (~v124(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB191)) | (~v124(constB191, bitIndex0)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22520,plain,
% 39.23/25.66 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB191)) | (~v124(constB191, bitIndex0)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22521,plain,
% 39.23/25.66 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB191)) | (~v124(constB191, bitIndex0))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22520, 22519])).
% 39.23/25.66 tff(22522,plain,
% 39.23/25.66 (~v124(constB191, bitIndex0)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22521, 2021, 22518])).
% 39.23/25.66 tff(22523,assumption,(v26(constB191)), introduced(assumption)).
% 39.23/25.66 tff(22524,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22525,plain,
% 39.23/25.66 ($false),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22524, 120, 22523])).
% 39.23/25.66 tff(22526,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.66 tff(22527,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22528,plain,
% 39.23/25.66 ((v26(constB191) | v124(constB191, bitIndex0) | (~v121(constB191, bitIndex0))) <=> ((~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22529,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB191) | v124(constB191, bitIndex0) | (~v121(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0)))),
% 39.23/25.66 inference(monotonicity,[status(thm)],[22528])).
% 39.23/25.66 tff(22530,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB191) | v124(constB191, bitIndex0) | (~v121(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0))),
% 39.23/25.66 inference(transitivity,[status(thm)],[22529, 22527])).
% 39.23/25.66 tff(22531,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB191) | v124(constB191, bitIndex0) | (~v121(constB191, bitIndex0)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22532,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB191, bitIndex0)) | v26(constB191) | v124(constB191, bitIndex0)),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22531, 22530])).
% 39.23/25.66 tff(22533,plain,
% 39.23/25.66 ((~v121(constB191, bitIndex0)) | v124(constB191, bitIndex0)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22532, 650, 22526])).
% 39.23/25.66 tff(22534,plain,
% 39.23/25.66 (~v121(constB191, bitIndex0)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22533, 22522])).
% 39.23/25.66 tff(22535,plain,
% 39.23/25.66 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22536,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 39.23/25.66 tff(22537,plain,
% 39.23/25.66 (nextState(constB191, constB192)),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 39.23/25.66 tff(22538,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22539,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22540,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22539, 22538])).
% 39.23/25.66 tff(22541,plain,
% 39.23/25.66 (v121(constB191, bitIndex0) | (~v123(constB192, bitIndex0))),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22540, 668, 22537])).
% 39.23/25.66 tff(22542,plain,
% 39.23/25.66 (~v123(constB192, bitIndex0)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22541, 22534])).
% 39.23/25.66 tff(22543,assumption,(v116(constB191)), introduced(assumption)).
% 39.23/25.66 tff(22544,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB191) | (~v116(constB191)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB191) | (~v116(constB191)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22545,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB191) | (~v116(constB191)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22546,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB191) | (~v116(constB191))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 39.23/25.66 tff(22547,plain,
% 39.23/25.66 (v110(constB191)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22546, 1843, 22543])).
% 39.23/25.66 tff(22548,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB191) | (~v110(constB191)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB191) | (~v110(constB191)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22549,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB191) | (~v110(constB191)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22550,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB191) | (~v110(constB191))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22549, 22548])).
% 39.23/25.66 tff(22551,plain,
% 39.23/25.66 (v109(constB191)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22550, 314, 22547])).
% 39.23/25.66 tff(22552,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB191) | (~v109(constB191)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB191) | (~v109(constB191)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22553,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB191) | (~v109(constB191)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22554,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB191) | (~v109(constB191))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22553, 22552])).
% 39.23/25.66 tff(22555,plain,
% 39.23/25.66 (v108(constB191)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22554, 325, 22551])).
% 39.23/25.66 tff(22556,plain,
% 39.23/25.66 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB191)) | (~v124(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB191)) | (~v124(constB191, bitIndex1)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22557,plain,
% 39.23/25.66 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB191)) | (~v124(constB191, bitIndex1)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22558,plain,
% 39.23/25.66 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB191)) | (~v124(constB191, bitIndex1))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22557, 22556])).
% 39.23/25.66 tff(22559,plain,
% 39.23/25.66 (~v124(constB191, bitIndex1)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22558, 1977, 22543])).
% 39.23/25.66 tff(22560,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22561,plain,
% 39.23/25.66 ((v26(constB191) | v124(constB191, bitIndex1) | (~v121(constB191, bitIndex1))) <=> ((~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22562,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB191) | v124(constB191, bitIndex1) | (~v121(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1)))),
% 39.23/25.66 inference(monotonicity,[status(thm)],[22561])).
% 39.23/25.66 tff(22563,plain,
% 39.23/25.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB191) | v124(constB191, bitIndex1) | (~v121(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1))),
% 39.23/25.66 inference(transitivity,[status(thm)],[22562, 22560])).
% 39.23/25.66 tff(22564,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB191) | v124(constB191, bitIndex1) | (~v121(constB191, bitIndex1)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22565,plain,
% 39.23/25.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB191, bitIndex1)) | v26(constB191) | v124(constB191, bitIndex1)),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22564, 22563])).
% 39.23/25.66 tff(22566,plain,
% 39.23/25.66 ((~v121(constB191, bitIndex1)) | v124(constB191, bitIndex1)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22565, 576, 22526])).
% 39.23/25.66 tff(22567,plain,
% 39.23/25.66 (~v121(constB191, bitIndex1)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22566, 22559])).
% 39.23/25.66 tff(22568,plain,
% 39.23/25.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22569,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1)))),
% 39.23/25.66 inference(quant_inst,[status(thm)],[])).
% 39.23/25.66 tff(22570,plain,
% 39.23/25.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1))),
% 39.23/25.66 inference(modus_ponens,[status(thm)],[22569, 22568])).
% 39.23/25.66 tff(22571,plain,
% 39.23/25.66 (v121(constB191, bitIndex1) | (~v123(constB192, bitIndex1))),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22570, 594, 22537])).
% 39.23/25.66 tff(22572,plain,
% 39.23/25.66 (~v123(constB192, bitIndex1)),
% 39.23/25.66 inference(unit_resolution,[status(thm)],[22571, 22567])).
% 39.23/25.66 tff(22573,assumption,(v84(constB192, bitIndex1)), introduced(assumption)).
% 39.23/25.66 tff(22574,plain,
% 39.23/25.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192)))),
% 39.23/25.66 inference(rewrite,[status(thm)],[])).
% 39.23/25.66 tff(22575,plain,
% 39.23/25.66 (((~v84(constB192, bitIndex1)) | (~v94(constB192)) | v123(constB192, bitIndex1)) <=> ((~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22576,plain,
% 39.23/25.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~v94(constB192)) | v123(constB192, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192))))),
% 39.23/25.67 inference(monotonicity,[status(thm)],[22575])).
% 39.23/25.67 tff(22577,plain,
% 39.23/25.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~v94(constB192)) | v123(constB192, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192)))),
% 39.23/25.67 inference(transitivity,[status(thm)],[22576, 22574])).
% 39.23/25.67 tff(22578,plain,
% 39.23/25.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~v94(constB192)) | v123(constB192, bitIndex1))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22579,plain,
% 39.23/25.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | v123(constB192, bitIndex1) | (~v94(constB192))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22578, 22577])).
% 39.23/25.67 tff(22580,plain,
% 39.23/25.67 (v123(constB192, bitIndex1) | (~v94(constB192))),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22579, 609, 22573])).
% 39.23/25.67 tff(22581,plain,
% 39.23/25.67 (~v94(constB192)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22580, 22572])).
% 39.23/25.67 tff(22582,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22583,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22584,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 39.23/25.67 tff(22585,plain,
% 39.23/25.67 (~v98(constB192)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22584, 397, 22537, 22447])).
% 39.23/25.67 tff(22586,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22587,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22588,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB191, constB192)) | v96(constB192) | v98(constB192)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 39.23/25.67 tff(22589,plain,
% 39.23/25.67 (v96(constB192) | v98(constB192)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22588, 411, 22537])).
% 39.23/25.67 tff(22590,plain,
% 39.23/25.67 (v96(constB192)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22589, 22585])).
% 39.23/25.67 tff(22591,plain,
% 39.23/25.67 (v1(constB192) <=> v1(constB192)),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22592,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 39.23/25.67 tff(22593,plain,
% 39.23/25.67 (v1(constB192)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 39.23/25.67 tff(22594,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22595,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22596,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22595, 22594])).
% 39.23/25.67 tff(22597,plain,
% 39.23/25.67 (v95(constB192) | (~v96(constB192))),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22596, 429, 22537, 22593])).
% 39.23/25.67 tff(22598,plain,
% 39.23/25.67 (v95(constB192)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22597, 22590])).
% 39.23/25.67 tff(22599,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22600,plain,
% 39.23/25.67 (((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192)) <=> ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22601,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192))))),
% 39.23/25.67 inference(monotonicity,[status(thm)],[22600])).
% 39.23/25.67 tff(22602,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 39.23/25.67 inference(transitivity,[status(thm)],[22601, 22599])).
% 39.23/25.67 tff(22603,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22604,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22603, 22602])).
% 39.23/25.67 tff(22605,plain,
% 39.23/25.67 (v94(constB192) | (~v95(constB192)) | (~v104(constB192))),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22604, 444, 22537])).
% 39.23/25.67 tff(22606,plain,
% 39.23/25.67 (v94(constB192) | (~v104(constB192))),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22605, 22598])).
% 39.23/25.67 tff(22607,plain,
% 39.23/25.67 (~v104(constB192)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22606, 22581])).
% 39.23/25.67 tff(22608,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22609,plain,
% 39.23/25.67 (((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192)) <=> ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22610,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191))))),
% 39.23/25.67 inference(monotonicity,[status(thm)],[22609])).
% 39.23/25.67 tff(22611,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 39.23/25.67 inference(transitivity,[status(thm)],[22610, 22608])).
% 39.23/25.67 tff(22612,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22613,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 39.23/25.67 tff(22614,plain,
% 39.23/25.67 (v104(constB192) | (~v102(constB191))),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22613, 379, 22537])).
% 39.23/25.67 tff(22615,plain,
% 39.23/25.67 (~v102(constB191)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22614, 22607])).
% 39.23/25.67 tff(22616,plain,
% 39.23/25.67 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB191) | (~v106(constB191)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB191) | (~v106(constB191)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22617,plain,
% 39.23/25.67 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB191) | (~v106(constB191)))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22618,plain,
% 39.23/25.67 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB191) | (~v106(constB191))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22617, 22616])).
% 39.23/25.67 tff(22619,plain,
% 39.23/25.67 (~v106(constB191)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22618, 362, 22615])).
% 39.23/25.67 tff(22620,plain,
% 39.23/25.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB191) | (~v107(constB191)) | v106(constB191))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB191) | (~v107(constB191)) | v106(constB191))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22621,plain,
% 39.23/25.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB191) | (~v107(constB191)) | v106(constB191))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22622,plain,
% 39.23/25.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB191) | (~v107(constB191)) | v106(constB191)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22621, 22620])).
% 39.23/25.67 tff(22623,plain,
% 39.23/25.67 ((~v107(constB191)) | v106(constB191)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22622, 350, 22526])).
% 39.23/25.67 tff(22624,plain,
% 39.23/25.67 (~v107(constB191)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22623, 22619])).
% 39.23/25.67 tff(22625,plain,
% 39.23/25.67 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB191) | (~v108(constB191)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB191) | (~v108(constB191)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22626,plain,
% 39.23/25.67 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB191) | (~v108(constB191)))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22627,plain,
% 39.23/25.67 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB191) | (~v108(constB191))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22626, 22625])).
% 39.23/25.67 tff(22628,plain,
% 39.23/25.67 ($false),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22627, 336, 22624, 22555])).
% 39.23/25.67 tff(22629,plain,((~v116(constB191)) | (~v84(constB192, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 39.23/25.67 tff(22630,plain,
% 39.23/25.67 (~v84(constB192, bitIndex1)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22629, 22518])).
% 39.23/25.67 tff(22631,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v94(constB192) | v84(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v94(constB192) | v84(constB192, bitIndex1))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22632,plain,
% 39.23/25.67 (((~nextState(constB191, constB192)) | (~v84(constB191, bitIndex1)) | v94(constB192) | v84(constB192, bitIndex1)) <=> ((~v84(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v94(constB192) | v84(constB192, bitIndex1))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22633,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v84(constB191, bitIndex1)) | v94(constB192) | v84(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v94(constB192) | v84(constB192, bitIndex1)))),
% 39.23/25.67 inference(monotonicity,[status(thm)],[22632])).
% 39.23/25.67 tff(22634,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v84(constB191, bitIndex1)) | v94(constB192) | v84(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v94(constB192) | v84(constB192, bitIndex1))),
% 39.23/25.67 inference(transitivity,[status(thm)],[22633, 22631])).
% 39.23/25.67 tff(22635,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v84(constB191, bitIndex1)) | v94(constB192) | v84(constB192, bitIndex1))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22636,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v94(constB192) | v84(constB192, bitIndex1)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22635, 22634])).
% 39.23/25.67 tff(22637,plain,
% 39.23/25.67 ((~v84(constB191, bitIndex1)) | v94(constB192) | v84(constB192, bitIndex1)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22636, 923, 22537])).
% 39.23/25.67 tff(22638,plain,
% 39.23/25.67 (v94(constB192)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22637, 22630, 22471])).
% 39.23/25.67 tff(22639,plain,
% 39.23/25.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22640,plain,
% 39.23/25.67 (((~v84(constB192, bitIndex0)) | (~v94(constB192)) | v123(constB192, bitIndex0)) <=> ((~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22641,plain,
% 39.23/25.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | (~v94(constB192)) | v123(constB192, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192))))),
% 39.23/25.67 inference(monotonicity,[status(thm)],[22640])).
% 39.23/25.67 tff(22642,plain,
% 39.23/25.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | (~v94(constB192)) | v123(constB192, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192)))),
% 39.23/25.67 inference(transitivity,[status(thm)],[22641, 22639])).
% 39.23/25.67 tff(22643,plain,
% 39.23/25.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB192, bitIndex0)) | (~v94(constB192)) | v123(constB192, bitIndex0))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22644,plain,
% 39.23/25.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0) | (~v94(constB192))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22643, 22642])).
% 39.23/25.67 tff(22645,plain,
% 39.23/25.67 ((~v84(constB192, bitIndex0)) | v123(constB192, bitIndex0)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22644, 683, 22638])).
% 39.23/25.67 tff(22646,plain,
% 39.23/25.67 (~v84(constB192, bitIndex0)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22645, 22542])).
% 39.23/25.67 tff(22647,plain,
% 39.23/25.67 ((~v1(constB193)) <=> (~v1(constB193))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22648,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 39.23/25.67 tff(22649,plain,
% 39.23/25.67 (~v1(constB193)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 39.23/25.67 tff(22650,plain,
% 39.23/25.67 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22651,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 39.23/25.67 tff(22652,plain,
% 39.23/25.67 (nextState(constB192, constB193)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22651, 22650])).
% 39.23/25.67 tff(22653,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22654,plain,
% 39.23/25.67 (((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22655,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193))))),
% 39.23/25.67 inference(monotonicity,[status(thm)],[22654])).
% 39.23/25.67 tff(22656,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 39.23/25.67 inference(transitivity,[status(thm)],[22655, 22653])).
% 39.23/25.67 tff(22657,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22658,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 39.23/25.67 tff(22659,plain,
% 39.23/25.67 (~v95(constB193)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22658, 175, 22652, 22649])).
% 39.23/25.67 tff(22660,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22661,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22662,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22661, 22660])).
% 39.23/25.67 tff(22663,plain,
% 39.23/25.67 (v95(constB193) | (~v94(constB193))),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22662, 192, 22652])).
% 39.23/25.67 tff(22664,plain,
% 39.23/25.67 (~v94(constB193)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22663, 22659])).
% 39.23/25.67 tff(22665,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22666,plain,
% 39.23/25.67 (((~nextState(constB192, constB193)) | v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0))) <=> (v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0)))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22667,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0))))),
% 39.23/25.67 inference(monotonicity,[status(thm)],[22666])).
% 39.23/25.67 tff(22668,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0)))),
% 39.23/25.67 inference(transitivity,[status(thm)],[22667, 22665])).
% 39.23/25.67 tff(22669,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0)))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22670,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex0))),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 39.23/25.67 tff(22671,plain,
% 39.23/25.67 (v84(constB192, bitIndex0) | v94(constB193) | (~v84(constB193, bitIndex0))),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22670, 249, 22652])).
% 39.23/25.67 tff(22672,plain,
% 39.23/25.67 (v84(constB192, bitIndex0) | (~v84(constB193, bitIndex0))),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22671, 22664])).
% 39.23/25.67 tff(22673,plain,
% 39.23/25.67 (~v84(constB193, bitIndex0)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22672, 22646])).
% 39.23/25.67 tff(22674,plain,
% 39.23/25.67 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB191)) | v124(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB191)) | v124(constB191, bitIndex2))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22675,plain,
% 39.23/25.67 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB191)) | v124(constB191, bitIndex2))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22676,plain,
% 39.23/25.67 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB191)) | v124(constB191, bitIndex2)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22675, 22674])).
% 39.23/25.67 tff(22677,plain,
% 39.23/25.67 (v124(constB191, bitIndex2)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22676, 1918, 22518])).
% 39.23/25.67 tff(22678,plain,
% 39.23/25.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB191) | (~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB191) | (~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22679,plain,
% 39.23/25.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB191) | (~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22680,plain,
% 39.23/25.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB191) | (~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22679, 22678])).
% 39.23/25.67 tff(22681,plain,
% 39.23/25.67 ((~v124(constB191, bitIndex2)) | v121(constB191, bitIndex2)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22680, 477, 22526])).
% 39.23/25.67 tff(22682,plain,
% 39.23/25.67 (v121(constB191, bitIndex2)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22681, 22677])).
% 39.23/25.67 tff(22683,plain,
% 39.23/25.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2))),
% 39.23/25.67 inference(rewrite,[status(thm)],[])).
% 39.23/25.67 tff(22684,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2))),
% 39.23/25.67 inference(quant_inst,[status(thm)],[])).
% 39.23/25.67 tff(22685,plain,
% 39.23/25.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2)),
% 39.23/25.67 inference(modus_ponens,[status(thm)],[22684, 22683])).
% 39.23/25.67 tff(22686,plain,
% 39.23/25.67 ((~v121(constB191, bitIndex2)) | v123(constB192, bitIndex2)),
% 39.23/25.67 inference(unit_resolution,[status(thm)],[22685, 492, 22537])).
% 39.23/25.68 tff(22687,plain,
% 39.23/25.68 (v123(constB192, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22686, 22682])).
% 39.23/25.68 tff(22688,plain,
% 39.23/25.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22689,plain,
% 39.23/25.68 ((v84(constB192, bitIndex2) | (~v94(constB192)) | (~v123(constB192, bitIndex2))) <=> (v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22690,plain,
% 39.23/25.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v94(constB192)) | (~v123(constB192, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192))))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22689])).
% 39.23/25.68 tff(22691,plain,
% 39.23/25.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v94(constB192)) | (~v123(constB192, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192)))),
% 39.23/25.68 inference(transitivity,[status(thm)],[22690, 22688])).
% 39.23/25.68 tff(22692,plain,
% 39.23/25.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB192, bitIndex2) | (~v94(constB192)) | (~v123(constB192, bitIndex2)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22693,plain,
% 39.23/25.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2)) | (~v94(constB192))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22692, 22691])).
% 39.23/25.68 tff(22694,plain,
% 39.23/25.68 (v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22693, 507, 22638])).
% 39.23/25.68 tff(22695,plain,
% 39.23/25.68 (v84(constB192, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22694, 22687])).
% 39.23/25.68 tff(22696,plain,
% 39.23/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22697,plain,
% 39.23/25.68 (((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2)) <=> ((~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22698,plain,
% 39.23/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2)))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22697])).
% 39.23/25.68 tff(22699,plain,
% 39.23/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2))),
% 39.23/25.68 inference(transitivity,[status(thm)],[22698, 22696])).
% 39.23/25.68 tff(22700,plain,
% 39.23/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22701,plain,
% 39.23/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex2)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22700, 22699])).
% 39.23/25.68 tff(22702,plain,
% 39.23/25.68 ((~v84(constB192, bitIndex2)) | v94(constB193) | v84(constB193, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22701, 543, 22652])).
% 39.23/25.68 tff(22703,plain,
% 39.23/25.68 ((~v84(constB192, bitIndex2)) | v84(constB193, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22702, 22664])).
% 39.23/25.68 tff(22704,plain,
% 39.23/25.68 (v84(constB193, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22703, 22695])).
% 39.23/25.68 tff(22705,plain,
% 39.23/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22706,plain,
% 39.23/25.68 (((~nextState(constB192, constB193)) | v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1))) <=> (v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22707,plain,
% 39.23/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1))))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22706])).
% 39.23/25.68 tff(22708,plain,
% 39.23/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1)))),
% 39.23/25.68 inference(transitivity,[status(thm)],[22707, 22705])).
% 39.23/25.68 tff(22709,plain,
% 39.23/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB192, constB193)) | v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22710,plain,
% 39.23/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v94(constB193) | (~v84(constB193, bitIndex1))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22709, 22708])).
% 39.23/25.68 tff(22711,plain,
% 39.23/25.68 (v84(constB192, bitIndex1) | v94(constB193) | (~v84(constB193, bitIndex1))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22710, 228, 22652])).
% 39.23/25.68 tff(22712,plain,
% 39.23/25.68 (v84(constB192, bitIndex1) | (~v84(constB193, bitIndex1))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22711, 22664])).
% 39.23/25.68 tff(22713,plain,
% 39.23/25.68 (~v84(constB193, bitIndex1)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22712, 22630])).
% 39.23/25.68 tff(22714,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB193, bitIndex0) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex2)) | v172(constB193))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB193, bitIndex0) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex2)) | v172(constB193))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22715,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB193, bitIndex0) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex2)) | v172(constB193))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22716,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB193, bitIndex0) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex2)) | v172(constB193)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22715, 22714])).
% 39.23/25.68 tff(22717,plain,
% 39.23/25.68 (v84(constB193, bitIndex0) | (~v84(constB193, bitIndex2)) | v172(constB193)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22716, 710, 22713])).
% 39.23/25.68 tff(22718,plain,
% 39.23/25.68 (v172(constB193)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22717, 22704, 22673])).
% 39.23/25.68 tff(22719,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22718, 20244])).
% 39.23/25.68 tff(22720,plain,(~(constB193 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22721,assumption,(constB83 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22722,plain,
% 39.23/25.68 (v172(constB83) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22721])).
% 39.23/25.68 tff(22723,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB83)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22722])).
% 39.23/25.68 tff(22724,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB83))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22723])).
% 39.23/25.68 tff(22725,plain,
% 39.23/25.68 (~v172(constB83)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22724])).
% 39.23/25.68 tff(22726,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[10000, 22725])).
% 39.23/25.68 tff(22727,plain,(~(constB83 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22728,assumption,(constB43 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22729,plain,
% 39.23/25.68 (v172(constB43) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22728])).
% 39.23/25.68 tff(22730,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB43)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22729])).
% 39.23/25.68 tff(22731,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB43))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22730])).
% 39.23/25.68 tff(22732,plain,
% 39.23/25.68 (~v172(constB43)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22731])).
% 39.23/25.68 tff(22733,plain,
% 39.23/25.68 ((~v124(constB41, bitIndex2)) | v121(constB41, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5292, 477, 5101])).
% 39.23/25.68 tff(22734,plain,
% 39.23/25.68 (v121(constB41, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22733, 5151])).
% 39.23/25.68 tff(22735,plain,
% 39.23/25.68 (v123(constB42, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5298, 22734])).
% 39.23/25.68 tff(22736,plain,
% 39.23/25.68 (v84(constB42, bitIndex2) | (~v94(constB42))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5305, 507, 22735])).
% 39.23/25.68 tff(22737,plain,
% 39.23/25.68 (v84(constB42, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22736, 5147])).
% 39.23/25.68 tff(22738,plain,
% 39.23/25.68 (v84(constB43, bitIndex2)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5315, 22737])).
% 39.23/25.68 tff(22739,plain,
% 39.23/25.68 ((~v121(constB41, bitIndex1)) | v124(constB41, bitIndex1)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5263, 576, 5101])).
% 39.23/25.68 tff(22740,plain,
% 39.23/25.68 (~v121(constB41, bitIndex1)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22739, 5203])).
% 39.23/25.68 tff(22741,plain,
% 39.23/25.68 (~v123(constB42, bitIndex1)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5269, 22740])).
% 39.23/25.68 tff(22742,plain,
% 39.23/25.68 ((~v84(constB42, bitIndex1)) | (~v94(constB42))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5277, 609, 22741])).
% 39.23/25.68 tff(22743,plain,
% 39.23/25.68 (~v84(constB42, bitIndex1)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22742, 5147])).
% 39.23/25.68 tff(22744,plain,
% 39.23/25.68 (~v84(constB43, bitIndex1)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5287, 22743])).
% 39.23/25.68 tff(22745,plain,
% 39.23/25.68 (v172(constB43)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[5320, 710, 5255, 22744, 22738])).
% 39.23/25.68 tff(22746,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22745, 22732])).
% 39.23/25.68 tff(22747,plain,(~(constB43 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22748,assumption,(constB73 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22749,plain,
% 39.23/25.68 (v172(constB73) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22748])).
% 39.23/25.68 tff(22750,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB73)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22749])).
% 39.23/25.68 tff(22751,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB73))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22750])).
% 39.23/25.68 tff(22752,plain,
% 39.23/25.68 (~v172(constB73)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22751])).
% 39.23/25.68 tff(22753,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[8835, 22752])).
% 39.23/25.68 tff(22754,plain,(~(constB73 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22755,assumption,(constB113 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22756,plain,
% 39.23/25.68 (v172(constB113) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22755])).
% 39.23/25.68 tff(22757,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB113)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22756])).
% 39.23/25.68 tff(22758,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB113))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22757])).
% 39.23/25.68 tff(22759,plain,
% 39.23/25.68 (~v172(constB113)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22758])).
% 39.23/25.68 tff(22760,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[13451, 22759])).
% 39.23/25.68 tff(22761,plain,(~(constB113 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22762,assumption,(constB23 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22763,plain,
% 39.23/25.68 (v172(constB23) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22762])).
% 39.23/25.68 tff(22764,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB23)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22763])).
% 39.23/25.68 tff(22765,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB23))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22764])).
% 39.23/25.68 tff(22766,plain,
% 39.23/25.68 (~v172(constB23)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22765])).
% 39.23/25.68 tff(22767,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[3245, 22766])).
% 39.23/25.68 tff(22768,plain,(~(constB23 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22769,assumption,(constB123 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22770,plain,
% 39.23/25.68 (v172(constB123) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22769])).
% 39.23/25.68 tff(22771,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB123)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22770])).
% 39.23/25.68 tff(22772,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB123))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22771])).
% 39.23/25.68 tff(22773,plain,
% 39.23/25.68 (~v172(constB123)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22772])).
% 39.23/25.68 tff(22774,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[14429, 22773])).
% 39.23/25.68 tff(22775,plain,(~(constB123 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22776,assumption,(constB173 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22777,plain,
% 39.23/25.68 (v172(constB173) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22776])).
% 39.23/25.68 tff(22778,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB173)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22777])).
% 39.23/25.68 tff(22779,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB173))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22778])).
% 39.23/25.68 tff(22780,plain,
% 39.23/25.68 (~v172(constB173)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22779])).
% 39.23/25.68 tff(22781,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[20682, 22780])).
% 39.23/25.68 tff(22782,plain,(~(constB173 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22783,assumption,(constB163 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22784,plain,
% 39.23/25.68 (v172(constB163) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22783])).
% 39.23/25.68 tff(22785,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB163)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22784])).
% 39.23/25.68 tff(22786,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB163))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22785])).
% 39.23/25.68 tff(22787,plain,
% 39.23/25.68 (~v172(constB163)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22786])).
% 39.23/25.68 tff(22788,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[19152, 22787])).
% 39.23/25.68 tff(22789,plain,(~(constB163 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22790,assumption,(constB103 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22791,plain,
% 39.23/25.68 (v172(constB103) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22790])).
% 39.23/25.68 tff(22792,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB103)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22791])).
% 39.23/25.68 tff(22793,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB103))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22792])).
% 39.23/25.68 tff(22794,plain,
% 39.23/25.68 (~v172(constB103)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22793])).
% 39.23/25.68 tff(22795,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[12430, 22794])).
% 39.23/25.68 tff(22796,plain,(~(constB103 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22797,assumption,(constB53 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22798,plain,
% 39.23/25.68 (v172(constB53) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22797])).
% 39.23/25.68 tff(22799,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB53)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22798])).
% 39.23/25.68 tff(22800,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB53))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22799])).
% 39.23/25.68 tff(22801,plain,
% 39.23/25.68 (~v172(constB53)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22800])).
% 39.23/25.68 tff(22802,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[6434, 22801])).
% 39.23/25.68 tff(22803,plain,(~(constB53 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22804,assumption,(constB183 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22805,plain,
% 39.23/25.68 (v172(constB183) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22804])).
% 39.23/25.68 tff(22806,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB183)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22805])).
% 39.23/25.68 tff(22807,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB183))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22806])).
% 39.23/25.68 tff(22808,plain,
% 39.23/25.68 (~v172(constB183)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22807])).
% 39.23/25.68 tff(22809,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[21722, 22808])).
% 39.23/25.68 tff(22810,plain,(~(constB183 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22811,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22812,plain,
% 39.23/25.68 (v172(constB13) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22811])).
% 39.23/25.68 tff(22813,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB13)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22812])).
% 39.23/25.68 tff(22814,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB13))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22813])).
% 39.23/25.68 tff(22815,plain,
% 39.23/25.68 (~v172(constB13)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22814])).
% 39.23/25.68 tff(22816,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[2059, 22815])).
% 39.23/25.68 tff(22817,plain,(~(constB13 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22818,assumption,(constB33 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22819,plain,
% 39.23/25.68 (v172(constB33) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22818])).
% 39.23/25.68 tff(22820,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB33)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22819])).
% 39.23/25.68 tff(22821,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB33))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22820])).
% 39.23/25.68 tff(22822,plain,
% 39.23/25.68 (~v172(constB33)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22821])).
% 39.23/25.68 tff(22823,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[4290, 22822])).
% 39.23/25.68 tff(22824,plain,(~(constB33 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22825,assumption,(constB133 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.68 tff(22826,plain,
% 39.23/25.68 (v172(constB133) <=> v172(sK0_VarCurr)),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22825])).
% 39.23/25.68 tff(22827,plain,
% 39.23/25.68 (v172(sK0_VarCurr) <=> v172(constB133)),
% 39.23/25.68 inference(symmetry,[status(thm)],[22826])).
% 39.23/25.68 tff(22828,plain,
% 39.23/25.68 ((~v172(sK0_VarCurr)) <=> (~v172(constB133))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22827])).
% 39.23/25.68 tff(22829,plain,
% 39.23/25.68 (~v172(constB133)),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[19965, 22828])).
% 39.23/25.68 tff(22830,plain,
% 39.23/25.68 ($false),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[15397, 22829])).
% 39.23/25.68 tff(22831,plain,(~(constB133 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.68 tff(22832,plain,
% 39.23/25.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB173)) | (~v153(constB173)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB173)) | (~v153(constB173)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22833,plain,
% 39.23/25.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB173)) | (~v153(constB173)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22834,plain,
% 39.23/25.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB173)) | (~v153(constB173))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22833, 22832])).
% 39.23/25.68 tff(22835,plain,
% 39.23/25.68 (~v153(constB173)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22834, 17156, 19868])).
% 39.23/25.68 tff(22836,plain,
% 39.23/25.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB171, bitIndex1)) | (~v145(constB171)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB171, bitIndex1)) | (~v145(constB171)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22837,plain,
% 39.23/25.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB171, bitIndex1)) | (~v145(constB171)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22838,plain,
% 39.23/25.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB171, bitIndex1)) | (~v145(constB171))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22837, 22836])).
% 39.23/25.68 tff(22839,plain,
% 39.23/25.68 (~v145(constB171)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22838, 1116, 20469])).
% 39.23/25.68 tff(22840,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB171) | (~v144(constB171)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB171) | (~v144(constB171)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22841,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB171) | (~v144(constB171)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22842,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB171) | (~v144(constB171))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 39.23/25.68 tff(22843,plain,
% 39.23/25.68 (~v144(constB171)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22842, 17003, 22839])).
% 39.23/25.68 tff(22844,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB171) | (~v142(constB171)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB171) | (~v142(constB171)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22845,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB171) | (~v142(constB171)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22846,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB171) | (~v142(constB171))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22845, 22844])).
% 39.23/25.68 tff(22847,plain,
% 39.23/25.68 (~v142(constB171)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22846, 17014, 22843])).
% 39.23/25.68 tff(22848,plain,
% 39.23/25.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB171)) | (~v140(constB171)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB171)) | (~v140(constB171)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22849,plain,
% 39.23/25.68 (((~v140(constB171)) | (~v138(constB171))) <=> ((~v138(constB171)) | (~v140(constB171)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22850,plain,
% 39.23/25.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB171)) | (~v138(constB171)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB171)) | (~v140(constB171))))),
% 39.23/25.68 inference(monotonicity,[status(thm)],[22849])).
% 39.23/25.68 tff(22851,plain,
% 39.23/25.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB171)) | (~v138(constB171)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB171)) | (~v140(constB171)))),
% 39.23/25.68 inference(transitivity,[status(thm)],[22850, 22848])).
% 39.23/25.68 tff(22852,plain,
% 39.23/25.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB171)) | (~v138(constB171)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22853,plain,
% 39.23/25.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB171)) | (~v140(constB171))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22852, 22851])).
% 39.23/25.68 tff(22854,plain,
% 39.23/25.68 (~v138(constB171)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22853, 108, 19781])).
% 39.23/25.68 tff(22855,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB171) | v142(constB171) | (~v135(constB171)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB171) | v142(constB171) | (~v135(constB171)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22856,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB171) | v142(constB171) | (~v135(constB171)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22857,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB171) | v142(constB171) | (~v135(constB171))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22856, 22855])).
% 39.23/25.68 tff(22858,plain,
% 39.23/25.68 (v142(constB171) | (~v135(constB171))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22857, 17028, 22854])).
% 39.23/25.68 tff(22859,plain,
% 39.23/25.68 (~v135(constB171)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22858, 22847])).
% 39.23/25.68 tff(22860,plain,
% 39.23/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB171, constB172)) | v135(constB171) | (~v137(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB171, constB172)) | v135(constB171) | (~v137(constB172)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22861,plain,
% 39.23/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB171, constB172)) | v135(constB171) | (~v137(constB172)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22862,plain,
% 39.23/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB171, constB172)) | v135(constB171) | (~v137(constB172))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22861, 22860])).
% 39.23/25.68 tff(22863,plain,
% 39.23/25.68 (v135(constB171) | (~v137(constB172))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22862, 17043, 19764])).
% 39.23/25.68 tff(22864,plain,
% 39.23/25.68 (~v137(constB172)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22863, 22859])).
% 39.23/25.68 tff(22865,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB172) | (~v138(constB172)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB172) | (~v138(constB172)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22866,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB172) | (~v138(constB172)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22867,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB172) | (~v138(constB172))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22866, 22865])).
% 39.23/25.68 tff(22868,plain,
% 39.23/25.68 (~v138(constB172)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22867, 17055, 22864])).
% 39.23/25.68 tff(22869,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB172) | (~v144(constB172)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB172) | (~v144(constB172)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22870,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB172) | (~v144(constB172)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22871,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB172) | (~v144(constB172))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22870, 22869])).
% 39.23/25.68 tff(22872,plain,
% 39.23/25.68 (~v144(constB172)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22871, 17077, 19803])).
% 39.23/25.68 tff(22873,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB172) | (~v142(constB172)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB172) | (~v142(constB172)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22874,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB172) | (~v142(constB172)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22875,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB172) | (~v142(constB172))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22874, 22873])).
% 39.23/25.68 tff(22876,plain,
% 39.23/25.68 (~v142(constB172)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22875, 17014, 22872])).
% 39.23/25.68 tff(22877,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB172) | v142(constB172) | (~v135(constB172)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB172) | v142(constB172) | (~v135(constB172)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22878,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB172) | v142(constB172) | (~v135(constB172)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22879,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB172) | v142(constB172) | (~v135(constB172))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22878, 22877])).
% 39.23/25.68 tff(22880,plain,
% 39.23/25.68 (v138(constB172) | (~v135(constB172))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22879, 17028, 22876])).
% 39.23/25.68 tff(22881,plain,
% 39.23/25.68 (~v135(constB172)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22880, 22868])).
% 39.23/25.68 tff(22882,plain,
% 39.23/25.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB172, constB173)) | v135(constB172) | (~v137(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB172, constB173)) | v135(constB172) | (~v137(constB173)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22883,plain,
% 39.23/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB172, constB173)) | v135(constB172) | (~v137(constB173)))),
% 39.23/25.68 inference(quant_inst,[status(thm)],[])).
% 39.23/25.68 tff(22884,plain,
% 39.23/25.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB172, constB173)) | v135(constB172) | (~v137(constB173))),
% 39.23/25.68 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 39.23/25.68 tff(22885,plain,
% 39.23/25.68 (v135(constB172) | (~v137(constB173))),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22884, 17043, 19819])).
% 39.23/25.68 tff(22886,plain,
% 39.23/25.68 (~v137(constB173)),
% 39.23/25.68 inference(unit_resolution,[status(thm)],[22885, 22881])).
% 39.23/25.68 tff(22887,plain,
% 39.23/25.68 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB173) | (~v154(constB173)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB173) | (~v154(constB173)))),
% 39.23/25.68 inference(rewrite,[status(thm)],[])).
% 39.23/25.68 tff(22888,plain,
% 39.23/25.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB173) | (~v154(constB173)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22889,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB173) | (~v154(constB173))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22888, 22887])).
% 39.23/25.69 tff(22890,plain,
% 39.23/25.69 (~v154(constB173)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22889, 17105, 22886])).
% 39.23/25.69 tff(22891,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB173) | v154(constB173) | (~v150(constB173)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB173) | v154(constB173) | (~v150(constB173)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22892,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB173) | v154(constB173) | (~v150(constB173)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22893,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB173) | v154(constB173) | (~v150(constB173))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22892, 22891])).
% 39.23/25.69 tff(22894,plain,
% 39.23/25.69 (v153(constB173) | (~v150(constB173))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22893, 17170, 22890])).
% 39.23/25.69 tff(22895,plain,
% 39.23/25.69 (~v150(constB173)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22894, 22835])).
% 39.23/25.69 tff(22896,plain,
% 39.23/25.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB173, constB174)) | v150(constB173) | (~v152(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB173, constB174)) | v150(constB173) | (~v152(constB174)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22897,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB173, constB174)) | v150(constB173) | (~v152(constB174)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22898,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB173, constB174)) | v150(constB173) | (~v152(constB174))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22897, 22896])).
% 39.23/25.69 tff(22899,plain,
% 39.23/25.69 (v150(constB173) | (~v152(constB174))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22898, 17185, 19851])).
% 39.23/25.69 tff(22900,plain,
% 39.23/25.69 (~v152(constB174)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22899, 22895])).
% 39.23/25.69 tff(22901,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB174) | (~v153(constB174)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB174) | (~v153(constB174)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22902,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB174) | (~v153(constB174)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22903,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB174) | (~v153(constB174))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22902, 22901])).
% 39.23/25.69 tff(22904,plain,
% 39.23/25.69 (~v153(constB174)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22903, 17197, 22900])).
% 39.23/25.69 tff(22905,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB174) | (~v154(constB174)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB174) | (~v154(constB174)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22906,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB174) | (~v154(constB174)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22907,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB174) | (~v154(constB174))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22906, 22905])).
% 39.23/25.69 tff(22908,plain,
% 39.23/25.69 (~v154(constB174)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22907, 17223, 19897])).
% 39.23/25.69 tff(22909,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB174) | v154(constB174) | (~v150(constB174)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB174) | v154(constB174) | (~v150(constB174)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22910,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB174) | v154(constB174) | (~v150(constB174)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22911,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB174) | v154(constB174) | (~v150(constB174))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22910, 22909])).
% 39.23/25.69 tff(22912,plain,
% 39.23/25.69 (v153(constB174) | (~v150(constB174))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22911, 17170, 22908])).
% 39.23/25.69 tff(22913,plain,
% 39.23/25.69 (~v150(constB174)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22912, 22904])).
% 39.23/25.69 tff(22914,plain,
% 39.23/25.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB174, constB175)) | v150(constB174) | (~v152(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB174, constB175)) | v150(constB174) | (~v152(constB175)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22915,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB174, constB175)) | v150(constB174) | (~v152(constB175)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22916,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB174, constB175)) | v150(constB174) | (~v152(constB175))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 39.23/25.69 tff(22917,plain,
% 39.23/25.69 (v150(constB174) | (~v152(constB175))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22916, 17185, 19912])).
% 39.23/25.69 tff(22918,plain,
% 39.23/25.69 (~v152(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22917, 22913])).
% 39.23/25.69 tff(22919,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB175) | (~v164(constB175)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB175) | (~v164(constB175)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22920,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB175) | (~v164(constB175)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22921,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB175) | (~v164(constB175))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22920, 22919])).
% 39.23/25.69 tff(22922,plain,
% 39.23/25.69 (~v164(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22921, 17247, 22918])).
% 39.23/25.69 tff(22923,assumption,(v18(constB176)), introduced(assumption)).
% 39.23/25.69 tff(22924,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB176))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22925,plain,
% 39.23/25.69 ($false),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22924, 8, 22923])).
% 39.23/25.69 tff(22926,plain,(~v18(constB176)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.69 tff(22927,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22928,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22929,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 39.23/25.69 tff(22930,plain,
% 39.23/25.69 (v22(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22929, 21, 20980])).
% 39.23/25.69 tff(22931,plain,
% 39.23/25.69 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB176)) | (~v22(constB176)) | v18(constB176))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB176)) | (~v22(constB176)) | v18(constB176))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22932,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB176)) | (~v22(constB176)) | v18(constB176))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22933,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB176)) | (~v22(constB176)) | v18(constB176)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22932, 22931])).
% 39.23/25.69 tff(22934,plain,
% 39.23/25.69 ((~v19(constB176)) | v18(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22933, 35, 22930])).
% 39.23/25.69 tff(22935,plain,
% 39.23/25.69 (~v19(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22934, 22926])).
% 39.23/25.69 tff(22936,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22937,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22938,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22937, 22936])).
% 39.23/25.69 tff(22939,plain,
% 39.23/25.69 (v13(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22938, 50, 22935])).
% 39.23/25.69 tff(22940,plain,
% 39.23/25.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22941,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22942,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22941, 22940])).
% 39.23/25.69 tff(22943,plain,
% 39.23/25.69 ((~v13(constB176)) | v9(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22942, 67, 20864])).
% 39.23/25.69 tff(22944,plain,
% 39.23/25.69 (v9(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22943, 22939])).
% 39.23/25.69 tff(22945,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v141(constB175))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB175) | (~v9(constB175)) | v141(constB175))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22946,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v141(constB175))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22947,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB175) | (~v9(constB175)) | v141(constB175)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22946, 22945])).
% 39.23/25.69 tff(22948,plain,
% 39.23/25.69 ((~v9(constB175)) | v141(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22947, 85, 20766])).
% 39.23/25.69 tff(22949,plain,
% 39.23/25.69 (v141(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22948, 22944])).
% 39.23/25.69 tff(22950,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB175) | (~v141(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB175) | (~v141(constB175)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22951,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB175) | (~v141(constB175)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22952,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB175) | (~v141(constB175))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22951, 22950])).
% 39.23/25.69 tff(22953,plain,
% 39.23/25.69 (v140(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22952, 97, 22949])).
% 39.23/25.69 tff(22954,plain,
% 39.23/25.69 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB175)) | (~v163(constB175)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB175)) | (~v163(constB175)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22955,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB175)) | (~v163(constB175)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22956,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB175)) | (~v163(constB175))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22955, 22954])).
% 39.23/25.69 tff(22957,plain,
% 39.23/25.69 (~v163(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22956, 17298, 22953])).
% 39.23/25.69 tff(22958,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB175)) | v164(constB175) | v163(constB175))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB175)) | v164(constB175) | v163(constB175))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22959,plain,
% 39.23/25.69 ((v164(constB175) | v163(constB175) | (~v160(constB175))) <=> ((~v160(constB175)) | v164(constB175) | v163(constB175))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22960,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB175) | v163(constB175) | (~v160(constB175)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB175)) | v164(constB175) | v163(constB175)))),
% 39.23/25.69 inference(monotonicity,[status(thm)],[22959])).
% 39.23/25.69 tff(22961,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB175) | v163(constB175) | (~v160(constB175)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB175)) | v164(constB175) | v163(constB175))),
% 39.23/25.69 inference(transitivity,[status(thm)],[22960, 22958])).
% 39.23/25.69 tff(22962,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB175) | v163(constB175) | (~v160(constB175)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22963,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB175)) | v164(constB175) | v163(constB175)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22962, 22961])).
% 39.23/25.69 tff(22964,plain,
% 39.23/25.69 ((~v160(constB175)) | v164(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22963, 17312, 22957])).
% 39.23/25.69 tff(22965,plain,
% 39.23/25.69 (~v160(constB175)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22964, 22922])).
% 39.23/25.69 tff(22966,plain,
% 39.23/25.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB175, constB176)) | v160(constB175) | (~v162(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB175, constB176)) | v160(constB175) | (~v162(constB176)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22967,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB175, constB176)) | v160(constB175) | (~v162(constB176)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22968,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB175, constB176)) | v160(constB175) | (~v162(constB176))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22967, 22966])).
% 39.23/25.69 tff(22969,plain,
% 39.23/25.69 (v160(constB175) | (~v162(constB176))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22968, 17330, 20864])).
% 39.23/25.69 tff(22970,plain,
% 39.23/25.69 (~v162(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22969, 22965])).
% 39.23/25.69 tff(22971,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB176) | (~v163(constB176)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB176) | (~v163(constB176)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22972,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB176) | (~v163(constB176)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22973,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB176) | (~v163(constB176))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 39.23/25.69 tff(22974,plain,
% 39.23/25.69 (~v163(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22973, 17342, 22970])).
% 39.23/25.69 tff(22975,plain,
% 39.23/25.69 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB176)) | (~v141(constB176)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB176)) | (~v141(constB176)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22976,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB176)) | (~v141(constB176)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22977,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB176)) | (~v141(constB176))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 39.23/25.69 tff(22978,plain,
% 39.23/25.69 (~v141(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22977, 17066, 20980])).
% 39.23/25.69 tff(22979,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB176) | (~v155(constB176)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB176) | (~v155(constB176)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22980,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB176) | (~v155(constB176)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22981,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB176) | (~v155(constB176))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22980, 22979])).
% 39.23/25.69 tff(22982,plain,
% 39.23/25.69 (~v155(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22981, 17212, 22978])).
% 39.23/25.69 tff(22983,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB176) | (~v164(constB176)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB176) | (~v164(constB176)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22984,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB176) | (~v164(constB176)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22985,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB176) | (~v164(constB176))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 39.23/25.69 tff(22986,plain,
% 39.23/25.69 (~v164(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22985, 17361, 22982])).
% 39.23/25.69 tff(22987,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB176)) | v164(constB176) | v163(constB176))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB176)) | v164(constB176) | v163(constB176))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22988,plain,
% 39.23/25.69 ((v164(constB176) | v163(constB176) | (~v160(constB176))) <=> ((~v160(constB176)) | v164(constB176) | v163(constB176))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22989,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB176) | v163(constB176) | (~v160(constB176)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB176)) | v164(constB176) | v163(constB176)))),
% 39.23/25.69 inference(monotonicity,[status(thm)],[22988])).
% 39.23/25.69 tff(22990,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB176) | v163(constB176) | (~v160(constB176)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB176)) | v164(constB176) | v163(constB176))),
% 39.23/25.69 inference(transitivity,[status(thm)],[22989, 22987])).
% 39.23/25.69 tff(22991,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB176) | v163(constB176) | (~v160(constB176)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22992,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB176)) | v164(constB176) | v163(constB176)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22991, 22990])).
% 39.23/25.69 tff(22993,plain,
% 39.23/25.69 ((~v160(constB176)) | v163(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22992, 17312, 22986])).
% 39.23/25.69 tff(22994,plain,
% 39.23/25.69 (~v160(constB176)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22993, 22974])).
% 39.23/25.69 tff(22995,plain,
% 39.23/25.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB176, constB177)) | v160(constB176) | (~v162(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB176, constB177)) | v160(constB176) | (~v162(constB177)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(22996,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB176, constB177)) | v160(constB176) | (~v162(constB177)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(22997,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB176, constB177)) | v160(constB176) | (~v162(constB177))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[22996, 22995])).
% 39.23/25.69 tff(22998,plain,
% 39.23/25.69 (v160(constB176) | (~v162(constB177))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22997, 17330, 21036])).
% 39.23/25.69 tff(22999,plain,
% 39.23/25.69 (~v162(constB177)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[22998, 22994])).
% 39.23/25.69 tff(23000,assumption,(constB177 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.69 tff(23001,plain,
% 39.23/25.69 (v162(constB177) <=> v162(sK0_VarCurr)),
% 39.23/25.69 inference(monotonicity,[status(thm)],[23000])).
% 39.23/25.69 tff(23002,plain,
% 39.23/25.69 (v162(sK0_VarCurr) <=> v162(constB177)),
% 39.23/25.69 inference(symmetry,[status(thm)],[23001])).
% 39.23/25.69 tff(23003,plain,
% 39.23/25.69 (v162(constB177)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[17398, 23002])).
% 39.23/25.69 tff(23004,assumption,(~v162(constB177)), introduced(assumption)).
% 39.23/25.69 tff(23005,plain,
% 39.23/25.69 ($false),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23004, 23003])).
% 39.23/25.69 tff(23006,plain,((~(constB177 = sK0_VarCurr)) | v162(constB177)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.69 tff(23007,plain,
% 39.23/25.69 (~(constB177 = sK0_VarCurr)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23006, 22999])).
% 39.23/25.69 tff(23008,assumption,(constB99 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.69 tff(23009,plain,
% 39.23/25.69 (v162(constB99) <=> v162(sK0_VarCurr)),
% 39.23/25.69 inference(monotonicity,[status(thm)],[23008])).
% 39.23/25.69 tff(23010,plain,
% 39.23/25.69 (v162(sK0_VarCurr) <=> v162(constB99)),
% 39.23/25.69 inference(symmetry,[status(thm)],[23009])).
% 39.23/25.69 tff(23011,plain,
% 39.23/25.69 (v162(constB99)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[17398, 23010])).
% 39.23/25.69 tff(23012,plain,
% 39.23/25.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB93, bitIndex2)) | (~v145(constB93)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23013,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v145(constB93)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23014,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB93, bitIndex2)) | (~v145(constB93))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 39.23/25.69 tff(23015,plain,
% 39.23/25.69 (~v145(constB93)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23014, 5709, 11239])).
% 39.23/25.69 tff(23016,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB93) | (~v144(constB93)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB93) | (~v144(constB93)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23017,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB93) | (~v144(constB93)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23018,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB93) | (~v144(constB93))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23017, 23016])).
% 39.23/25.69 tff(23019,plain,
% 39.23/25.69 (~v144(constB93)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23018, 17003, 23015])).
% 39.23/25.69 tff(23020,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB93) | (~v142(constB93)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB93) | (~v142(constB93)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23021,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB93) | (~v142(constB93)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23022,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB93) | (~v142(constB93))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 39.23/25.69 tff(23023,plain,
% 39.23/25.69 (~v142(constB93)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23022, 17014, 23019])).
% 39.23/25.69 tff(23024,plain,
% 39.23/25.69 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB93)) | (~v140(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB93)) | (~v140(constB93)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23025,plain,
% 39.23/25.69 (((~v140(constB93)) | (~v138(constB93))) <=> ((~v138(constB93)) | (~v140(constB93)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23026,plain,
% 39.23/25.69 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB93)) | (~v138(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB93)) | (~v140(constB93))))),
% 39.23/25.69 inference(monotonicity,[status(thm)],[23025])).
% 39.23/25.69 tff(23027,plain,
% 39.23/25.69 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB93)) | (~v138(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB93)) | (~v140(constB93)))),
% 39.23/25.69 inference(transitivity,[status(thm)],[23026, 23024])).
% 39.23/25.69 tff(23028,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB93)) | (~v138(constB93)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23029,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB93)) | (~v140(constB93))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 39.23/25.69 tff(23030,plain,
% 39.23/25.69 (~v138(constB93)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23029, 108, 17599])).
% 39.23/25.69 tff(23031,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB93) | v142(constB93) | (~v135(constB93)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB93) | v142(constB93) | (~v135(constB93)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23032,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB93) | v142(constB93) | (~v135(constB93)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23033,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB93) | v142(constB93) | (~v135(constB93))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23032, 23031])).
% 39.23/25.69 tff(23034,plain,
% 39.23/25.69 (v142(constB93) | (~v135(constB93))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23033, 17028, 23030])).
% 39.23/25.69 tff(23035,plain,
% 39.23/25.69 (~v135(constB93)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23034, 23023])).
% 39.23/25.69 tff(23036,plain,
% 39.23/25.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23037,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23038,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 39.23/25.69 tff(23039,plain,
% 39.23/25.69 (v135(constB93) | (~v137(constB94))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23038, 17043, 11339])).
% 39.23/25.69 tff(23040,plain,
% 39.23/25.69 (~v137(constB94)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23039, 23035])).
% 39.23/25.69 tff(23041,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB94) | (~v138(constB94)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB94) | (~v138(constB94)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23042,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB94) | (~v138(constB94)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23043,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB94) | (~v138(constB94))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23042, 23041])).
% 39.23/25.69 tff(23044,plain,
% 39.23/25.69 (~v138(constB94)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23043, 17055, 23040])).
% 39.23/25.69 tff(23045,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB94) | (~v144(constB94)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB94) | (~v144(constB94)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23046,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB94) | (~v144(constB94)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23047,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB94) | (~v144(constB94))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23046, 23045])).
% 39.23/25.69 tff(23048,plain,
% 39.23/25.69 (~v144(constB94)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23047, 17077, 17624])).
% 39.23/25.69 tff(23049,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB94) | (~v142(constB94)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB94) | (~v142(constB94)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23050,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB94) | (~v142(constB94)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23051,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB94) | (~v142(constB94))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 39.23/25.69 tff(23052,plain,
% 39.23/25.69 (~v142(constB94)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23051, 17014, 23048])).
% 39.23/25.69 tff(23053,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB94) | v142(constB94) | (~v135(constB94)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB94) | v142(constB94) | (~v135(constB94)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23054,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB94) | v142(constB94) | (~v135(constB94)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23055,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB94) | v142(constB94) | (~v135(constB94))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23054, 23053])).
% 39.23/25.69 tff(23056,plain,
% 39.23/25.69 (v138(constB94) | (~v135(constB94))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23055, 17028, 23052])).
% 39.23/25.69 tff(23057,plain,
% 39.23/25.69 (~v135(constB94)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23056, 23044])).
% 39.23/25.69 tff(23058,plain,
% 39.23/25.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23059,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23060,plain,
% 39.23/25.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23059, 23058])).
% 39.23/25.69 tff(23061,plain,
% 39.23/25.69 (v135(constB94) | (~v137(constB95))),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23060, 17043, 11401])).
% 39.23/25.69 tff(23062,plain,
% 39.23/25.69 (~v137(constB95)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23061, 23057])).
% 39.23/25.69 tff(23063,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB95) | (~v154(constB95)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB95) | (~v154(constB95)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23064,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB95) | (~v154(constB95)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23065,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB95) | (~v154(constB95))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23064, 23063])).
% 39.23/25.69 tff(23066,plain,
% 39.23/25.69 (~v154(constB95)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23065, 17105, 23062])).
% 39.23/25.69 tff(23067,assumption,(v18(constB96)), introduced(assumption)).
% 39.23/25.69 tff(23068,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB96))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23069,plain,
% 39.23/25.69 ($false),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23068, 8, 23067])).
% 39.23/25.69 tff(23070,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.69 tff(23071,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23072,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23073,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23072, 23071])).
% 39.23/25.69 tff(23074,plain,
% 39.23/25.69 (v22(constB96)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23073, 21, 11534])).
% 39.23/25.69 tff(23075,plain,
% 39.23/25.69 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23076,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23077,plain,
% 39.23/25.69 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23076, 23075])).
% 39.23/25.69 tff(23078,plain,
% 39.23/25.69 ((~v19(constB96)) | v18(constB96)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23077, 35, 23074])).
% 39.23/25.69 tff(23079,plain,
% 39.23/25.69 (~v19(constB96)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23078, 23070])).
% 39.23/25.69 tff(23080,plain,
% 39.23/25.69 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.69 tff(23081,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 39.23/25.69 inference(quant_inst,[status(thm)],[])).
% 39.23/25.69 tff(23082,plain,
% 39.23/25.69 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 39.23/25.69 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 39.23/25.69 tff(23083,plain,
% 39.23/25.69 (v13(constB96)),
% 39.23/25.69 inference(unit_resolution,[status(thm)],[23082, 50, 23079])).
% 39.23/25.69 tff(23084,plain,
% 39.23/25.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 39.23/25.69 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23085,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23086,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23085, 23084])).
% 39.23/25.70 tff(23087,plain,
% 39.23/25.70 ((~v13(constB96)) | v9(constB95)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23086, 67, 11514])).
% 39.23/25.70 tff(23088,plain,
% 39.23/25.70 (v9(constB95)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23087, 23083])).
% 39.23/25.70 tff(23089,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23090,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23091,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23090, 23089])).
% 39.23/25.70 tff(23092,plain,
% 39.23/25.70 ((~v9(constB95)) | v141(constB95)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23091, 85, 11398])).
% 39.23/25.70 tff(23093,plain,
% 39.23/25.70 (v141(constB95)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23092, 23088])).
% 39.23/25.70 tff(23094,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB95) | (~v141(constB95)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB95) | (~v141(constB95)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23095,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB95) | (~v141(constB95)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23096,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB95) | (~v141(constB95))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23095, 23094])).
% 39.23/25.70 tff(23097,plain,
% 39.23/25.70 (v140(constB95)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23096, 97, 23093])).
% 39.23/25.70 tff(23098,plain,
% 39.23/25.70 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB95)) | (~v153(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB95)) | (~v153(constB95)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23099,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB95)) | (~v153(constB95)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23100,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB95)) | (~v153(constB95))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23099, 23098])).
% 39.23/25.70 tff(23101,plain,
% 39.23/25.70 (~v153(constB95)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23100, 17156, 23097])).
% 39.23/25.70 tff(23102,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB95) | v154(constB95) | (~v150(constB95)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB95) | v154(constB95) | (~v150(constB95)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23103,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB95) | v154(constB95) | (~v150(constB95)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23104,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB95) | v154(constB95) | (~v150(constB95))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23103, 23102])).
% 39.23/25.70 tff(23105,plain,
% 39.23/25.70 (v154(constB95) | (~v150(constB95))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23104, 17170, 23101])).
% 39.23/25.70 tff(23106,plain,
% 39.23/25.70 (~v150(constB95)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23105, 23066])).
% 39.23/25.70 tff(23107,plain,
% 39.23/25.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23108,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23109,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23108, 23107])).
% 39.23/25.70 tff(23110,plain,
% 39.23/25.70 (v150(constB95) | (~v152(constB96))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23109, 17185, 11514])).
% 39.23/25.70 tff(23111,plain,
% 39.23/25.70 (~v152(constB96)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23110, 23106])).
% 39.23/25.70 tff(23112,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB96) | (~v153(constB96)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB96) | (~v153(constB96)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23113,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB96) | (~v153(constB96)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23114,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB96) | (~v153(constB96))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23113, 23112])).
% 39.23/25.70 tff(23115,plain,
% 39.23/25.70 (~v153(constB96)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23114, 17197, 23111])).
% 39.23/25.70 tff(23116,plain,
% 39.23/25.70 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB96)) | (~v141(constB96)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB96)) | (~v141(constB96)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23117,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB96)) | (~v141(constB96)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23118,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB96)) | (~v141(constB96))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 39.23/25.70 tff(23119,plain,
% 39.23/25.70 (~v141(constB96)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23118, 17066, 11534])).
% 39.23/25.70 tff(23120,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB96) | (~v155(constB96)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB96) | (~v155(constB96)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23121,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB96) | (~v155(constB96)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23122,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB96) | (~v155(constB96))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 39.23/25.70 tff(23123,plain,
% 39.23/25.70 (~v155(constB96)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23122, 17212, 23119])).
% 39.23/25.70 tff(23124,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB96) | (~v154(constB96)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB96) | (~v154(constB96)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23125,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB96) | (~v154(constB96)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23126,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB96) | (~v154(constB96))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23125, 23124])).
% 39.23/25.70 tff(23127,plain,
% 39.23/25.70 (~v154(constB96)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23126, 17223, 23123])).
% 39.23/25.70 tff(23128,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB96) | v154(constB96) | (~v150(constB96)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB96) | v154(constB96) | (~v150(constB96)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23129,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB96) | v154(constB96) | (~v150(constB96)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23130,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB96) | v154(constB96) | (~v150(constB96))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23129, 23128])).
% 39.23/25.70 tff(23131,plain,
% 39.23/25.70 (v153(constB96) | (~v150(constB96))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23130, 17170, 23127])).
% 39.23/25.70 tff(23132,plain,
% 39.23/25.70 (~v150(constB96)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23131, 23115])).
% 39.23/25.70 tff(23133,plain,
% 39.23/25.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23134,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23135,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 39.23/25.70 tff(23136,plain,
% 39.23/25.70 (v150(constB96) | (~v152(constB97))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23135, 17185, 11606])).
% 39.23/25.70 tff(23137,plain,
% 39.23/25.70 (~v152(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23136, 23132])).
% 39.23/25.70 tff(23138,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB97) | (~v164(constB97)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB97) | (~v164(constB97)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23139,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB97) | (~v164(constB97)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23140,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB97) | (~v164(constB97))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23139, 23138])).
% 39.23/25.70 tff(23141,plain,
% 39.23/25.70 (~v164(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23140, 17247, 23137])).
% 39.23/25.70 tff(23142,assumption,(v18(constB98)), introduced(assumption)).
% 39.23/25.70 tff(23143,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB98))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23144,plain,
% 39.23/25.70 ($false),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23143, 8, 23142])).
% 39.23/25.70 tff(23145,plain,(~v18(constB98)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.70 tff(23146,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23147,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23148,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23147, 23146])).
% 39.23/25.70 tff(23149,plain,
% 39.23/25.70 (v22(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23148, 21, 11765])).
% 39.23/25.70 tff(23150,plain,
% 39.23/25.70 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB98)) | (~v22(constB98)) | v18(constB98))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB98)) | (~v22(constB98)) | v18(constB98))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23151,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB98)) | (~v22(constB98)) | v18(constB98))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23152,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB98)) | (~v22(constB98)) | v18(constB98)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 39.23/25.70 tff(23153,plain,
% 39.23/25.70 ((~v19(constB98)) | v18(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23152, 35, 23149])).
% 39.23/25.70 tff(23154,plain,
% 39.23/25.70 (~v19(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23153, 23145])).
% 39.23/25.70 tff(23155,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23156,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23157,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23156, 23155])).
% 39.23/25.70 tff(23158,plain,
% 39.23/25.70 (v13(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23157, 50, 23154])).
% 39.23/25.70 tff(23159,plain,
% 39.23/25.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB97, constB98)) | (~v13(constB98)) | v9(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB97, constB98)) | (~v13(constB98)) | v9(constB97))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23160,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB97, constB98)) | (~v13(constB98)) | v9(constB97))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23161,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB97, constB98)) | (~v13(constB98)) | v9(constB97)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23160, 23159])).
% 39.23/25.70 tff(23162,plain,
% 39.23/25.70 ((~v13(constB98)) | v9(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23161, 67, 11745])).
% 39.23/25.70 tff(23163,plain,
% 39.23/25.70 (v9(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23162, 23158])).
% 39.23/25.70 tff(23164,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v141(constB97))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB97) | (~v9(constB97)) | v141(constB97))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23165,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v141(constB97))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23166,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB97) | (~v9(constB97)) | v141(constB97)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23165, 23164])).
% 39.23/25.70 tff(23167,plain,
% 39.23/25.70 ((~v9(constB97)) | v141(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23166, 85, 11603])).
% 39.23/25.70 tff(23168,plain,
% 39.23/25.70 (v141(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23167, 23163])).
% 39.23/25.70 tff(23169,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB97) | (~v141(constB97)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB97) | (~v141(constB97)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23170,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB97) | (~v141(constB97)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23171,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB97) | (~v141(constB97))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23170, 23169])).
% 39.23/25.70 tff(23172,plain,
% 39.23/25.70 (v140(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23171, 97, 23168])).
% 39.23/25.70 tff(23173,plain,
% 39.23/25.70 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB97)) | (~v163(constB97)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB97)) | (~v163(constB97)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23174,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB97)) | (~v163(constB97)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23175,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB97)) | (~v163(constB97))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 39.23/25.70 tff(23176,plain,
% 39.23/25.70 (~v163(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23175, 17298, 23172])).
% 39.23/25.70 tff(23177,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB97)) | v164(constB97) | v163(constB97))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB97)) | v164(constB97) | v163(constB97))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23178,plain,
% 39.23/25.70 ((v164(constB97) | v163(constB97) | (~v160(constB97))) <=> ((~v160(constB97)) | v164(constB97) | v163(constB97))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23179,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB97) | v163(constB97) | (~v160(constB97)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB97)) | v164(constB97) | v163(constB97)))),
% 39.23/25.70 inference(monotonicity,[status(thm)],[23178])).
% 39.23/25.70 tff(23180,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB97) | v163(constB97) | (~v160(constB97)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB97)) | v164(constB97) | v163(constB97))),
% 39.23/25.70 inference(transitivity,[status(thm)],[23179, 23177])).
% 39.23/25.70 tff(23181,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB97) | v163(constB97) | (~v160(constB97)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23182,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB97)) | v164(constB97) | v163(constB97)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23181, 23180])).
% 39.23/25.70 tff(23183,plain,
% 39.23/25.70 ((~v160(constB97)) | v164(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23182, 17312, 23176])).
% 39.23/25.70 tff(23184,plain,
% 39.23/25.70 (~v160(constB97)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23183, 23141])).
% 39.23/25.70 tff(23185,plain,
% 39.23/25.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23186,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23187,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23186, 23185])).
% 39.23/25.70 tff(23188,plain,
% 39.23/25.70 (v160(constB97) | (~v162(constB98))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23187, 17330, 11745])).
% 39.23/25.70 tff(23189,plain,
% 39.23/25.70 (~v162(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23188, 23184])).
% 39.23/25.70 tff(23190,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB98) | (~v163(constB98)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB98) | (~v163(constB98)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23191,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB98) | (~v163(constB98)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23192,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB98) | (~v163(constB98))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23191, 23190])).
% 39.23/25.70 tff(23193,plain,
% 39.23/25.70 (~v163(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23192, 17342, 23189])).
% 39.23/25.70 tff(23194,plain,
% 39.23/25.70 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB98)) | (~v141(constB98)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB98)) | (~v141(constB98)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23195,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB98)) | (~v141(constB98)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23196,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB98)) | (~v141(constB98))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23195, 23194])).
% 39.23/25.70 tff(23197,plain,
% 39.23/25.70 (~v141(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23196, 17066, 11765])).
% 39.23/25.70 tff(23198,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB98) | (~v155(constB98)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB98) | (~v155(constB98)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23199,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB98) | (~v155(constB98)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23200,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB98) | (~v155(constB98))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23199, 23198])).
% 39.23/25.70 tff(23201,plain,
% 39.23/25.70 (~v155(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23200, 17212, 23197])).
% 39.23/25.70 tff(23202,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB98) | (~v164(constB98)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB98) | (~v164(constB98)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23203,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB98) | (~v164(constB98)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23204,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB98) | (~v164(constB98))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23203, 23202])).
% 39.23/25.70 tff(23205,plain,
% 39.23/25.70 (~v164(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23204, 17361, 23201])).
% 39.23/25.70 tff(23206,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB98)) | v164(constB98) | v163(constB98))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB98)) | v164(constB98) | v163(constB98))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23207,plain,
% 39.23/25.70 ((v164(constB98) | v163(constB98) | (~v160(constB98))) <=> ((~v160(constB98)) | v164(constB98) | v163(constB98))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23208,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB98) | v163(constB98) | (~v160(constB98)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB98)) | v164(constB98) | v163(constB98)))),
% 39.23/25.70 inference(monotonicity,[status(thm)],[23207])).
% 39.23/25.70 tff(23209,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB98) | v163(constB98) | (~v160(constB98)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB98)) | v164(constB98) | v163(constB98))),
% 39.23/25.70 inference(transitivity,[status(thm)],[23208, 23206])).
% 39.23/25.70 tff(23210,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB98) | v163(constB98) | (~v160(constB98)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23211,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB98)) | v164(constB98) | v163(constB98)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23210, 23209])).
% 39.23/25.70 tff(23212,plain,
% 39.23/25.70 ((~v160(constB98)) | v163(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23211, 17312, 23205])).
% 39.23/25.70 tff(23213,plain,
% 39.23/25.70 (~v160(constB98)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23212, 23193])).
% 39.23/25.70 tff(23214,plain,
% 39.23/25.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23215,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23216,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23215, 23214])).
% 39.23/25.70 tff(23217,plain,
% 39.23/25.70 (v160(constB98) | (~v162(constB99))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23216, 17330, 11810])).
% 39.23/25.70 tff(23218,plain,
% 39.23/25.70 (~v162(constB99)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23217, 23213])).
% 39.23/25.70 tff(23219,plain,
% 39.23/25.70 ($false),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23218, 23011])).
% 39.23/25.70 tff(23220,plain,(~(constB99 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.70 tff(23221,assumption,(constB25 = sK0_VarCurr), introduced(assumption)).
% 39.23/25.70 tff(23222,plain,
% 39.23/25.70 (v162(constB25) <=> v162(sK0_VarCurr)),
% 39.23/25.70 inference(monotonicity,[status(thm)],[23221])).
% 39.23/25.70 tff(23223,plain,
% 39.23/25.70 (v162(sK0_VarCurr) <=> v162(constB25)),
% 39.23/25.70 inference(symmetry,[status(thm)],[23222])).
% 39.23/25.70 tff(23224,plain,
% 39.23/25.70 (v162(constB25)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[17398, 23223])).
% 39.23/25.70 tff(23225,plain,
% 39.23/25.70 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB19, bitIndex1)) | (~v145(constB19)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB19, bitIndex1)) | (~v145(constB19)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23226,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB19, bitIndex1)) | (~v145(constB19)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23227,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB19, bitIndex1)) | (~v145(constB19))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23226, 23225])).
% 39.23/25.70 tff(23228,plain,
% 39.23/25.70 (~v145(constB19)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23227, 1116, 2654])).
% 39.23/25.70 tff(23229,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB19) | (~v144(constB19)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB19) | (~v144(constB19)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23230,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB19) | (~v144(constB19)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23231,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB19) | (~v144(constB19))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23230, 23229])).
% 39.23/25.70 tff(23232,plain,
% 39.23/25.70 (~v144(constB19)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23231, 17003, 23228])).
% 39.23/25.70 tff(23233,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB19) | (~v142(constB19)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB19) | (~v142(constB19)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23234,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB19) | (~v142(constB19)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23235,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB19) | (~v142(constB19))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 39.23/25.70 tff(23236,plain,
% 39.23/25.70 (~v142(constB19)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23235, 17014, 23232])).
% 39.23/25.70 tff(23237,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v141(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB19) | (~v9(constB19)) | v141(constB19))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23238,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v141(constB19))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23239,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB19) | (~v9(constB19)) | v141(constB19)),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 39.23/25.70 tff(23240,plain,
% 39.23/25.70 ((~v9(constB19)) | v141(constB19)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23239, 85, 2599])).
% 39.23/25.70 tff(23241,plain,
% 39.23/25.70 (v141(constB19)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23240, 2762])).
% 39.23/25.70 tff(23242,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB19) | (~v141(constB19)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB19) | (~v141(constB19)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23243,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB19) | (~v141(constB19)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23244,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB19) | (~v141(constB19))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23243, 23242])).
% 39.23/25.70 tff(23245,plain,
% 39.23/25.70 (v140(constB19)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23244, 97, 23241])).
% 39.23/25.70 tff(23246,plain,
% 39.23/25.70 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB19)) | (~v138(constB19)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB19)) | (~v138(constB19)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23247,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB19)) | (~v138(constB19)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23248,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB19)) | (~v138(constB19))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23247, 23246])).
% 39.23/25.70 tff(23249,plain,
% 39.23/25.70 (~v138(constB19)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23248, 108, 23245])).
% 39.23/25.70 tff(23250,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB19) | v142(constB19) | (~v135(constB19)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB19) | v142(constB19) | (~v135(constB19)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23251,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB19) | v142(constB19) | (~v135(constB19)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23252,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB19) | v142(constB19) | (~v135(constB19))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 39.23/25.70 tff(23253,plain,
% 39.23/25.70 (v142(constB19) | (~v135(constB19))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23252, 17028, 23249])).
% 39.23/25.70 tff(23254,plain,
% 39.23/25.70 (~v135(constB19)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23253, 23236])).
% 39.23/25.70 tff(23255,plain,
% 39.23/25.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB19, constB20)) | v135(constB19) | (~v137(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB19, constB20)) | v135(constB19) | (~v137(constB20)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23256,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB19, constB20)) | v135(constB19) | (~v137(constB20)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23257,plain,
% 39.23/25.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB19, constB20)) | v135(constB19) | (~v137(constB20))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23256, 23255])).
% 39.23/25.70 tff(23258,plain,
% 39.23/25.70 (v135(constB19) | (~v137(constB20))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23257, 17043, 2757])).
% 39.23/25.70 tff(23259,plain,
% 39.23/25.70 (~v137(constB20)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23258, 23254])).
% 39.23/25.70 tff(23260,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB20) | (~v138(constB20)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB20) | (~v138(constB20)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23261,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB20) | (~v138(constB20)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23262,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB20) | (~v138(constB20))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23261, 23260])).
% 39.23/25.70 tff(23263,plain,
% 39.23/25.70 (~v138(constB20)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23262, 17055, 23259])).
% 39.23/25.70 tff(23264,plain,
% 39.23/25.70 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB20)) | (~v141(constB20)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB20)) | (~v141(constB20)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23265,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB20)) | (~v141(constB20)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23266,plain,
% 39.23/25.70 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB20)) | (~v141(constB20))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 39.23/25.70 tff(23267,plain,
% 39.23/25.70 (~v141(constB20)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23266, 17066, 2741])).
% 39.23/25.70 tff(23268,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB20) | (~v144(constB20)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB20) | (~v144(constB20)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23269,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB20) | (~v144(constB20)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23270,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB20) | (~v144(constB20))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 39.23/25.70 tff(23271,plain,
% 39.23/25.70 (~v144(constB20)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23270, 17077, 23267])).
% 39.23/25.70 tff(23272,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB20) | (~v142(constB20)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB20) | (~v142(constB20)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23273,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB20) | (~v142(constB20)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23274,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB20) | (~v142(constB20))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 39.23/25.70 tff(23275,plain,
% 39.23/25.70 (~v142(constB20)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23274, 17014, 23271])).
% 39.23/25.70 tff(23276,plain,
% 39.23/25.70 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB20) | v142(constB20) | (~v135(constB20)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB20) | v142(constB20) | (~v135(constB20)))),
% 39.23/25.70 inference(rewrite,[status(thm)],[])).
% 39.23/25.70 tff(23277,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB20) | v142(constB20) | (~v135(constB20)))),
% 39.23/25.70 inference(quant_inst,[status(thm)],[])).
% 39.23/25.70 tff(23278,plain,
% 39.23/25.70 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB20) | v142(constB20) | (~v135(constB20))),
% 39.23/25.70 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 39.23/25.70 tff(23279,plain,
% 39.23/25.70 (v138(constB20) | (~v135(constB20))),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23278, 17028, 23275])).
% 39.23/25.70 tff(23280,plain,
% 39.23/25.70 (~v135(constB20)),
% 39.23/25.70 inference(unit_resolution,[status(thm)],[23279, 23263])).
% 39.23/25.70 tff(23281,plain,
% 39.23/25.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB20, constB21)) | v135(constB20) | (~v137(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB20, constB21)) | v135(constB20) | (~v137(constB21)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23282,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB20, constB21)) | v135(constB20) | (~v137(constB21)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23283,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB20, constB21)) | v135(constB20) | (~v137(constB21))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23282, 23281])).
% 39.23/25.71 tff(23284,plain,
% 39.23/25.71 (v135(constB20) | (~v137(constB21))),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23283, 17043, 2971])).
% 39.23/25.71 tff(23285,plain,
% 39.23/25.71 (~v137(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23284, 23280])).
% 39.23/25.71 tff(23286,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB21) | (~v154(constB21)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB21) | (~v154(constB21)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23287,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB21) | (~v154(constB21)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23288,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB21) | (~v154(constB21))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23287, 23286])).
% 39.23/25.71 tff(23289,plain,
% 39.23/25.71 (~v154(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23288, 17105, 23285])).
% 39.23/25.71 tff(23290,assumption,(v18(constB22)), introduced(assumption)).
% 39.23/25.71 tff(23291,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB22))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23292,plain,
% 39.23/25.71 ($false),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23291, 8, 23290])).
% 39.23/25.71 tff(23293,plain,(~v18(constB22)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.71 tff(23294,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23295,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23296,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23295, 23294])).
% 39.23/25.71 tff(23297,plain,
% 39.23/25.71 (v22(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23296, 21, 3110])).
% 39.23/25.71 tff(23298,plain,
% 39.23/25.71 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB22)) | (~v22(constB22)) | v18(constB22))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB22)) | (~v22(constB22)) | v18(constB22))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23299,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB22)) | (~v22(constB22)) | v18(constB22))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23300,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB22)) | (~v22(constB22)) | v18(constB22)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23299, 23298])).
% 39.23/25.71 tff(23301,plain,
% 39.23/25.71 ((~v19(constB22)) | v18(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23300, 35, 23297])).
% 39.23/25.71 tff(23302,plain,
% 39.23/25.71 (~v19(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23301, 23293])).
% 39.23/25.71 tff(23303,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23304,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23305,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 39.23/25.71 tff(23306,plain,
% 39.23/25.71 (v13(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23305, 50, 23302])).
% 39.23/25.71 tff(23307,plain,
% 39.23/25.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB21, constB22)) | (~v13(constB22)) | v9(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB21, constB22)) | (~v13(constB22)) | v9(constB21))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23308,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB21, constB22)) | (~v13(constB22)) | v9(constB21))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23309,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB21, constB22)) | (~v13(constB22)) | v9(constB21)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23308, 23307])).
% 39.23/25.71 tff(23310,plain,
% 39.23/25.71 ((~v13(constB22)) | v9(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23309, 67, 3090])).
% 39.23/25.71 tff(23311,plain,
% 39.23/25.71 (v9(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23310, 23306])).
% 39.23/25.71 tff(23312,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v141(constB21))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB21) | (~v9(constB21)) | v141(constB21))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23313,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v141(constB21))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23314,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB21) | (~v9(constB21)) | v141(constB21)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23313, 23312])).
% 39.23/25.71 tff(23315,plain,
% 39.23/25.71 ((~v9(constB21)) | v141(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23314, 85, 2968])).
% 39.23/25.71 tff(23316,plain,
% 39.23/25.71 (v141(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23315, 23311])).
% 39.23/25.71 tff(23317,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB21) | (~v141(constB21)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB21) | (~v141(constB21)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23318,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB21) | (~v141(constB21)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23319,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB21) | (~v141(constB21))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23318, 23317])).
% 39.23/25.71 tff(23320,plain,
% 39.23/25.71 (v140(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23319, 97, 23316])).
% 39.23/25.71 tff(23321,plain,
% 39.23/25.71 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB21)) | (~v153(constB21)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB21)) | (~v153(constB21)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23322,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB21)) | (~v153(constB21)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23323,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB21)) | (~v153(constB21))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23322, 23321])).
% 39.23/25.71 tff(23324,plain,
% 39.23/25.71 (~v153(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23323, 17156, 23320])).
% 39.23/25.71 tff(23325,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB21) | v154(constB21) | (~v150(constB21)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB21) | v154(constB21) | (~v150(constB21)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23326,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB21) | v154(constB21) | (~v150(constB21)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23327,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB21) | v154(constB21) | (~v150(constB21))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23326, 23325])).
% 39.23/25.71 tff(23328,plain,
% 39.23/25.71 (v154(constB21) | (~v150(constB21))),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23327, 17170, 23324])).
% 39.23/25.71 tff(23329,plain,
% 39.23/25.71 (~v150(constB21)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23328, 23289])).
% 39.23/25.71 tff(23330,plain,
% 39.23/25.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB21, constB22)) | v150(constB21) | (~v152(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB21, constB22)) | v150(constB21) | (~v152(constB22)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23331,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB21, constB22)) | v150(constB21) | (~v152(constB22)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23332,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB21, constB22)) | v150(constB21) | (~v152(constB22))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23331, 23330])).
% 39.23/25.71 tff(23333,plain,
% 39.23/25.71 (v150(constB21) | (~v152(constB22))),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23332, 17185, 3090])).
% 39.23/25.71 tff(23334,plain,
% 39.23/25.71 (~v152(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23333, 23329])).
% 39.23/25.71 tff(23335,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB22) | (~v153(constB22)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB22) | (~v153(constB22)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23336,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB22) | (~v153(constB22)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23337,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB22) | (~v153(constB22))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23336, 23335])).
% 39.23/25.71 tff(23338,plain,
% 39.23/25.71 (~v153(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23337, 17197, 23334])).
% 39.23/25.71 tff(23339,plain,
% 39.23/25.71 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB22)) | (~v141(constB22)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB22)) | (~v141(constB22)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23340,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB22)) | (~v141(constB22)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23341,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB22)) | (~v141(constB22))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23340, 23339])).
% 39.23/25.71 tff(23342,plain,
% 39.23/25.71 (~v141(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23341, 17066, 3110])).
% 39.23/25.71 tff(23343,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB22) | (~v155(constB22)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB22) | (~v155(constB22)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23344,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB22) | (~v155(constB22)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23345,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB22) | (~v155(constB22))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23344, 23343])).
% 39.23/25.71 tff(23346,plain,
% 39.23/25.71 (~v155(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23345, 17212, 23342])).
% 39.23/25.71 tff(23347,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB22) | (~v154(constB22)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB22) | (~v154(constB22)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23348,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB22) | (~v154(constB22)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23349,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB22) | (~v154(constB22))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23348, 23347])).
% 39.23/25.71 tff(23350,plain,
% 39.23/25.71 (~v154(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23349, 17223, 23346])).
% 39.23/25.71 tff(23351,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB22) | v154(constB22) | (~v150(constB22)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB22) | v154(constB22) | (~v150(constB22)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23352,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB22) | v154(constB22) | (~v150(constB22)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23353,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB22) | v154(constB22) | (~v150(constB22))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23352, 23351])).
% 39.23/25.71 tff(23354,plain,
% 39.23/25.71 (v153(constB22) | (~v150(constB22))),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23353, 17170, 23350])).
% 39.23/25.71 tff(23355,plain,
% 39.23/25.71 (~v150(constB22)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23354, 23338])).
% 39.23/25.71 tff(23356,plain,
% 39.23/25.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB22, constB23)) | v150(constB22) | (~v152(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB22, constB23)) | v150(constB22) | (~v152(constB23)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23357,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB22, constB23)) | v150(constB22) | (~v152(constB23)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23358,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB22, constB23)) | v150(constB22) | (~v152(constB23))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23357, 23356])).
% 39.23/25.71 tff(23359,plain,
% 39.23/25.71 (v150(constB22) | (~v152(constB23))),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23358, 17185, 3152])).
% 39.23/25.71 tff(23360,plain,
% 39.23/25.71 (~v152(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23359, 23355])).
% 39.23/25.71 tff(23361,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB23) | (~v164(constB23)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB23) | (~v164(constB23)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23362,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB23) | (~v164(constB23)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23363,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB23) | (~v164(constB23))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23362, 23361])).
% 39.23/25.71 tff(23364,plain,
% 39.23/25.71 (~v164(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23363, 17247, 23360])).
% 39.23/25.71 tff(23365,assumption,(v18(constB24)), introduced(assumption)).
% 39.23/25.71 tff(23366,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB24))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23367,plain,
% 39.23/25.71 ($false),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23366, 8, 23365])).
% 39.23/25.71 tff(23368,plain,(~v18(constB24)), inference(lemma,lemma(discharge,[]))).
% 39.23/25.71 tff(23369,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB24) | (~v1(constB24)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB24) | (~v1(constB24)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23370,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB24) | (~v1(constB24)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23371,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB24) | (~v1(constB24))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23370, 23369])).
% 39.23/25.71 tff(23372,plain,
% 39.23/25.71 (v22(constB24)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23371, 21, 3296])).
% 39.23/25.71 tff(23373,plain,
% 39.23/25.71 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB24)) | (~v22(constB24)) | v18(constB24))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB24)) | (~v22(constB24)) | v18(constB24))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23374,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB24)) | (~v22(constB24)) | v18(constB24))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23375,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB24)) | (~v22(constB24)) | v18(constB24)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23374, 23373])).
% 39.23/25.71 tff(23376,plain,
% 39.23/25.71 ((~v19(constB24)) | v18(constB24)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23375, 35, 23372])).
% 39.23/25.71 tff(23377,plain,
% 39.23/25.71 (~v19(constB24)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23376, 23368])).
% 39.23/25.71 tff(23378,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB24) | v19(constB24))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB24) | v19(constB24))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23379,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB24) | v19(constB24))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23380,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB24) | v19(constB24)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23379, 23378])).
% 39.23/25.71 tff(23381,plain,
% 39.23/25.71 (v13(constB24)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23380, 50, 23377])).
% 39.23/25.71 tff(23382,plain,
% 39.23/25.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23383,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23384,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 39.23/25.71 tff(23385,plain,
% 39.23/25.71 ((~v13(constB24)) | v9(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23384, 67, 3276])).
% 39.23/25.71 tff(23386,plain,
% 39.23/25.71 (v9(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23385, 23381])).
% 39.23/25.71 tff(23387,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB23) | (~v9(constB23)) | v141(constB23))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB23) | (~v9(constB23)) | v141(constB23))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23388,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB23) | (~v9(constB23)) | v141(constB23))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23389,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB23) | (~v9(constB23)) | v141(constB23)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23388, 23387])).
% 39.23/25.71 tff(23390,plain,
% 39.23/25.71 ((~v9(constB23)) | v141(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23389, 85, 3149])).
% 39.23/25.71 tff(23391,plain,
% 39.23/25.71 (v141(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23390, 23386])).
% 39.23/25.71 tff(23392,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB23) | (~v141(constB23)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB23) | (~v141(constB23)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23393,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB23) | (~v141(constB23)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23394,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB23) | (~v141(constB23))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23393, 23392])).
% 39.23/25.71 tff(23395,plain,
% 39.23/25.71 (v140(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23394, 97, 23391])).
% 39.23/25.71 tff(23396,plain,
% 39.23/25.71 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB23)) | (~v163(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB23)) | (~v163(constB23)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23397,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB23)) | (~v163(constB23)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23398,plain,
% 39.23/25.71 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB23)) | (~v163(constB23))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23397, 23396])).
% 39.23/25.71 tff(23399,plain,
% 39.23/25.71 (~v163(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23398, 17298, 23395])).
% 39.23/25.71 tff(23400,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB23)) | v163(constB23) | v164(constB23))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB23)) | v163(constB23) | v164(constB23))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23401,plain,
% 39.23/25.71 ((v164(constB23) | v163(constB23) | (~v160(constB23))) <=> ((~v160(constB23)) | v163(constB23) | v164(constB23))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23402,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB23) | v163(constB23) | (~v160(constB23)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB23)) | v163(constB23) | v164(constB23)))),
% 39.23/25.71 inference(monotonicity,[status(thm)],[23401])).
% 39.23/25.71 tff(23403,plain,
% 39.23/25.71 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB23) | v163(constB23) | (~v160(constB23)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB23)) | v163(constB23) | v164(constB23))),
% 39.23/25.71 inference(transitivity,[status(thm)],[23402, 23400])).
% 39.23/25.71 tff(23404,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB23) | v163(constB23) | (~v160(constB23)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23405,plain,
% 39.23/25.71 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB23)) | v163(constB23) | v164(constB23)),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23404, 23403])).
% 39.23/25.71 tff(23406,plain,
% 39.23/25.71 ((~v160(constB23)) | v164(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23405, 17312, 23399])).
% 39.23/25.71 tff(23407,plain,
% 39.23/25.71 (~v160(constB23)),
% 39.23/25.71 inference(unit_resolution,[status(thm)],[23406, 23364])).
% 39.23/25.71 tff(23408,plain,
% 39.23/25.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB23, constB24)) | v160(constB23) | (~v162(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB23, constB24)) | v160(constB23) | (~v162(constB24)))),
% 39.23/25.71 inference(rewrite,[status(thm)],[])).
% 39.23/25.71 tff(23409,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB23, constB24)) | v160(constB23) | (~v162(constB24)))),
% 39.23/25.71 inference(quant_inst,[status(thm)],[])).
% 39.23/25.71 tff(23410,plain,
% 39.23/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB23, constB24)) | v160(constB23) | (~v162(constB24))),
% 39.23/25.71 inference(modus_ponens,[status(thm)],[23409, 23408])).
% 39.23/25.71 tff(23411,plain,
% 39.23/25.71 (v160(constB23) | (~v162(constB24))),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23410, 17330, 3276])).
% 39.32/25.71 tff(23412,plain,
% 39.32/25.71 (~v162(constB24)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23411, 23407])).
% 39.32/25.71 tff(23413,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB24) | (~v163(constB24)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB24) | (~v163(constB24)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23414,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB24) | (~v163(constB24)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23415,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB24) | (~v163(constB24))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23414, 23413])).
% 39.32/25.71 tff(23416,plain,
% 39.32/25.71 (~v163(constB24)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23415, 17342, 23412])).
% 39.32/25.71 tff(23417,plain,
% 39.32/25.71 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB24)) | (~v141(constB24)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB24)) | (~v141(constB24)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23418,plain,
% 39.32/25.71 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB24)) | (~v141(constB24)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23419,plain,
% 39.32/25.71 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB24)) | (~v141(constB24))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23418, 23417])).
% 39.32/25.71 tff(23420,plain,
% 39.32/25.71 (~v141(constB24)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23419, 17066, 3296])).
% 39.32/25.71 tff(23421,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB24) | (~v155(constB24)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB24) | (~v155(constB24)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23422,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB24) | (~v155(constB24)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23423,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB24) | (~v155(constB24))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23422, 23421])).
% 39.32/25.71 tff(23424,plain,
% 39.32/25.71 (~v155(constB24)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23423, 17212, 23420])).
% 39.32/25.71 tff(23425,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB24) | (~v164(constB24)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB24) | (~v164(constB24)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23426,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB24) | (~v164(constB24)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23427,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB24) | (~v164(constB24))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23426, 23425])).
% 39.32/25.71 tff(23428,plain,
% 39.32/25.71 (~v164(constB24)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23427, 17361, 23424])).
% 39.32/25.71 tff(23429,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB24)) | v164(constB24) | v163(constB24))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB24)) | v164(constB24) | v163(constB24))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23430,plain,
% 39.32/25.71 ((v164(constB24) | v163(constB24) | (~v160(constB24))) <=> ((~v160(constB24)) | v164(constB24) | v163(constB24))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23431,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB24) | v163(constB24) | (~v160(constB24)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB24)) | v164(constB24) | v163(constB24)))),
% 39.32/25.71 inference(monotonicity,[status(thm)],[23430])).
% 39.32/25.71 tff(23432,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB24) | v163(constB24) | (~v160(constB24)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB24)) | v164(constB24) | v163(constB24))),
% 39.32/25.71 inference(transitivity,[status(thm)],[23431, 23429])).
% 39.32/25.71 tff(23433,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB24) | v163(constB24) | (~v160(constB24)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23434,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB24)) | v164(constB24) | v163(constB24)),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23433, 23432])).
% 39.32/25.71 tff(23435,plain,
% 39.32/25.71 ((~v160(constB24)) | v163(constB24)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23434, 17312, 23428])).
% 39.32/25.71 tff(23436,plain,
% 39.32/25.71 (~v160(constB24)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23435, 23416])).
% 39.32/25.71 tff(23437,plain,
% 39.32/25.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB24, constB25)) | v160(constB24) | (~v162(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB24, constB25)) | v160(constB24) | (~v162(constB25)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23438,plain,
% 39.32/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB24, constB25)) | v160(constB24) | (~v162(constB25)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23439,plain,
% 39.32/25.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB24, constB25)) | v160(constB24) | (~v162(constB25))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 39.32/25.71 tff(23440,plain,
% 39.32/25.71 (v160(constB24) | (~v162(constB25))),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23439, 17330, 3338])).
% 39.32/25.71 tff(23441,plain,
% 39.32/25.71 (~v162(constB25)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23440, 23436])).
% 39.32/25.71 tff(23442,plain,
% 39.32/25.71 ($false),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23441, 23224])).
% 39.32/25.71 tff(23443,plain,(~(constB25 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.71 tff(23444,assumption,(constB55 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.71 tff(23445,plain,
% 39.32/25.71 (v162(constB55) <=> v162(sK0_VarCurr)),
% 39.32/25.71 inference(monotonicity,[status(thm)],[23444])).
% 39.32/25.71 tff(23446,plain,
% 39.32/25.71 (v162(sK0_VarCurr) <=> v162(constB55)),
% 39.32/25.71 inference(symmetry,[status(thm)],[23445])).
% 39.32/25.71 tff(23447,plain,
% 39.32/25.71 (v162(constB55)),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[17398, 23446])).
% 39.32/25.71 tff(23448,plain,
% 39.32/25.71 (v112(constB47)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5855, 1367, 5851])).
% 39.32/25.71 tff(23449,plain,
% 39.32/25.71 (v111(constB47)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5859, 292, 23448])).
% 39.32/25.71 tff(23450,plain,
% 39.32/25.71 (v110(constB47)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5863, 303, 23449])).
% 39.32/25.71 tff(23451,plain,
% 39.32/25.71 (v109(constB47)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5867, 314, 23450])).
% 39.32/25.71 tff(23452,plain,
% 39.32/25.71 (v108(constB47)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5871, 325, 23451])).
% 39.32/25.71 tff(23453,plain,
% 39.32/25.71 (v107(constB47)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5875, 336, 23452])).
% 39.32/25.71 tff(23454,plain,
% 39.32/25.71 (v106(constB47)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5884, 23453])).
% 39.32/25.71 tff(23455,plain,
% 39.32/25.71 (v102(constB47)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5888, 362, 23454])).
% 39.32/25.71 tff(23456,plain,
% 39.32/25.71 (v104(constB48)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5899, 23455])).
% 39.32/25.71 tff(23457,plain,
% 39.32/25.71 (v94(constB48)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5925, 23456])).
% 39.32/25.71 tff(23458,plain,
% 39.32/25.71 (v124(constB47, bitIndex1)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5981, 1513, 5851])).
% 39.32/25.71 tff(23459,plain,
% 39.32/25.71 (v121(constB47, bitIndex1)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5986, 23458])).
% 39.32/25.71 tff(23460,plain,
% 39.32/25.71 (v123(constB48, bitIndex1)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5991, 23459])).
% 39.32/25.71 tff(23461,plain,
% 39.32/25.71 (v84(constB48, bitIndex1) | (~v94(constB48))),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[5998, 905, 23460])).
% 39.32/25.71 tff(23462,plain,
% 39.32/25.71 (v84(constB48, bitIndex1)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23461, 23457])).
% 39.32/25.71 tff(23463,plain,
% 39.32/25.71 (v84(constB49, bitIndex1)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[6008, 23462])).
% 39.32/25.71 tff(23464,plain,
% 39.32/25.71 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB49, bitIndex1)) | (~v145(constB49)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB49, bitIndex1)) | (~v145(constB49)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23465,plain,
% 39.32/25.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB49, bitIndex1)) | (~v145(constB49)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23466,plain,
% 39.32/25.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB49, bitIndex1)) | (~v145(constB49))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23465, 23464])).
% 39.32/25.71 tff(23467,plain,
% 39.32/25.71 (~v145(constB49)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23466, 1116, 23463])).
% 39.32/25.71 tff(23468,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB49) | (~v144(constB49)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB49) | (~v144(constB49)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23469,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB49) | (~v144(constB49)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23470,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB49) | (~v144(constB49))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 39.32/25.71 tff(23471,plain,
% 39.32/25.71 (~v144(constB49)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23470, 17003, 23467])).
% 39.32/25.71 tff(23472,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB49) | (~v142(constB49)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23473,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB49) | (~v142(constB49)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23474,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB49) | (~v142(constB49))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23473, 23472])).
% 39.32/25.71 tff(23475,plain,
% 39.32/25.71 (~v142(constB49)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23474, 17014, 23471])).
% 39.32/25.71 tff(23476,assumption,(v18(constB50)), introduced(assumption)).
% 39.32/25.71 tff(23477,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB50))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23478,plain,
% 39.32/25.71 ($false),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23477, 8, 23476])).
% 39.32/25.71 tff(23479,plain,(~v18(constB50)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.71 tff(23480,plain,
% 39.32/25.71 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50)))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23481,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23482,plain,
% 39.32/25.71 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50))),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23481, 23480])).
% 39.32/25.71 tff(23483,plain,
% 39.32/25.71 (v22(constB50)),
% 39.32/25.71 inference(unit_resolution,[status(thm)],[23482, 21, 6107])).
% 39.32/25.71 tff(23484,plain,
% 39.32/25.71 (((~![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))),
% 39.32/25.71 inference(rewrite,[status(thm)],[])).
% 39.32/25.71 tff(23485,plain,
% 39.32/25.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB50)) | (~v22(constB50)) | v18(constB50))),
% 39.32/25.71 inference(quant_inst,[status(thm)],[])).
% 39.32/25.71 tff(23486,plain,
% 39.32/25.71 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB50)) | (~v22(constB50)) | v18(constB50)),
% 39.32/25.71 inference(modus_ponens,[status(thm)],[23485, 23484])).
% 39.32/25.71 tff(23487,plain,
% 39.32/25.71 ((~v19(constB50)) | v18(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23486, 35, 23483])).
% 39.32/25.72 tff(23488,plain,
% 39.32/25.72 (~v19(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23487, 23479])).
% 39.32/25.72 tff(23489,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23490,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23491,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23490, 23489])).
% 39.32/25.72 tff(23492,plain,
% 39.32/25.72 (v13(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23491, 50, 23488])).
% 39.32/25.72 tff(23493,plain,
% 39.32/25.72 (((~![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))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23494,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23495,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23494, 23493])).
% 39.32/25.72 tff(23496,plain,
% 39.32/25.72 ((~v13(constB50)) | v9(constB49)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23495, 67, 6087])).
% 39.32/25.72 tff(23497,plain,
% 39.32/25.72 (v9(constB49)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23496, 23492])).
% 39.32/25.72 tff(23498,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v141(constB49))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB49) | (~v9(constB49)) | v141(constB49))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23499,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v141(constB49))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23500,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB49) | (~v9(constB49)) | v141(constB49)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23499, 23498])).
% 39.32/25.72 tff(23501,plain,
% 39.32/25.72 ((~v9(constB49)) | v141(constB49)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23500, 85, 5954])).
% 39.32/25.72 tff(23502,plain,
% 39.32/25.72 (v141(constB49)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23501, 23497])).
% 39.32/25.72 tff(23503,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB49) | (~v141(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB49) | (~v141(constB49)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23504,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB49) | (~v141(constB49)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23505,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB49) | (~v141(constB49))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23504, 23503])).
% 39.32/25.72 tff(23506,plain,
% 39.32/25.72 (v140(constB49)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23505, 97, 23502])).
% 39.32/25.72 tff(23507,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB49)) | (~v140(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB49)) | (~v140(constB49)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23508,plain,
% 39.32/25.72 (((~v140(constB49)) | (~v138(constB49))) <=> ((~v138(constB49)) | (~v140(constB49)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23509,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB49)) | (~v138(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB49)) | (~v140(constB49))))),
% 39.32/25.72 inference(monotonicity,[status(thm)],[23508])).
% 39.32/25.72 tff(23510,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB49)) | (~v138(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB49)) | (~v140(constB49)))),
% 39.32/25.72 inference(transitivity,[status(thm)],[23509, 23507])).
% 39.32/25.72 tff(23511,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB49)) | (~v138(constB49)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23512,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB49)) | (~v140(constB49))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23511, 23510])).
% 39.32/25.72 tff(23513,plain,
% 39.32/25.72 (~v138(constB49)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23512, 108, 23506])).
% 39.32/25.72 tff(23514,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB49) | v142(constB49) | (~v135(constB49)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB49) | v142(constB49) | (~v135(constB49)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23515,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB49) | v142(constB49) | (~v135(constB49)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23516,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB49) | v142(constB49) | (~v135(constB49))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23515, 23514])).
% 39.32/25.72 tff(23517,plain,
% 39.32/25.72 (v142(constB49) | (~v135(constB49))),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23516, 17028, 23513])).
% 39.32/25.72 tff(23518,plain,
% 39.32/25.72 (~v135(constB49)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23517, 23475])).
% 39.32/25.72 tff(23519,plain,
% 39.32/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23520,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23521,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23520, 23519])).
% 39.32/25.72 tff(23522,plain,
% 39.32/25.72 (v135(constB49) | (~v137(constB50))),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23521, 17043, 6087])).
% 39.32/25.72 tff(23523,plain,
% 39.32/25.72 (~v137(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23522, 23518])).
% 39.32/25.72 tff(23524,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB50) | (~v138(constB50)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB50) | (~v138(constB50)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23525,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB50) | (~v138(constB50)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23526,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB50) | (~v138(constB50))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 39.32/25.72 tff(23527,plain,
% 39.32/25.72 (~v138(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23526, 17055, 23523])).
% 39.32/25.72 tff(23528,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB50)) | (~v141(constB50)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB50)) | (~v141(constB50)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23529,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB50)) | (~v141(constB50)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23530,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB50)) | (~v141(constB50))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23529, 23528])).
% 39.32/25.72 tff(23531,plain,
% 39.32/25.72 (~v141(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23530, 17066, 6107])).
% 39.32/25.72 tff(23532,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB50) | (~v144(constB50)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB50) | (~v144(constB50)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23533,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB50) | (~v144(constB50)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23534,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB50) | (~v144(constB50))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23533, 23532])).
% 39.32/25.72 tff(23535,plain,
% 39.32/25.72 (~v144(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23534, 17077, 23531])).
% 39.32/25.72 tff(23536,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB50) | (~v142(constB50)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB50) | (~v142(constB50)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23537,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB50) | (~v142(constB50)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23538,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB50) | (~v142(constB50))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23537, 23536])).
% 39.32/25.72 tff(23539,plain,
% 39.32/25.72 (~v142(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23538, 17014, 23535])).
% 39.32/25.72 tff(23540,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB50) | v142(constB50) | (~v135(constB50)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB50) | v142(constB50) | (~v135(constB50)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23541,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB50) | v142(constB50) | (~v135(constB50)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23542,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB50) | v142(constB50) | (~v135(constB50))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23541, 23540])).
% 39.32/25.72 tff(23543,plain,
% 39.32/25.72 (v138(constB50) | (~v135(constB50))),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23542, 17028, 23539])).
% 39.32/25.72 tff(23544,plain,
% 39.32/25.72 (~v135(constB50)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23543, 23527])).
% 39.32/25.72 tff(23545,plain,
% 39.32/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23546,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23547,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23546, 23545])).
% 39.32/25.72 tff(23548,plain,
% 39.32/25.72 (v135(constB50) | (~v137(constB51))),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23547, 17043, 6152])).
% 39.32/25.72 tff(23549,plain,
% 39.32/25.72 (~v137(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23548, 23544])).
% 39.32/25.72 tff(23550,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB51) | (~v154(constB51)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB51) | (~v154(constB51)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23551,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB51) | (~v154(constB51)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23552,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB51) | (~v154(constB51))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23551, 23550])).
% 39.32/25.72 tff(23553,plain,
% 39.32/25.72 (~v154(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23552, 17105, 23549])).
% 39.32/25.72 tff(23554,assumption,(v18(constB52)), introduced(assumption)).
% 39.32/25.72 tff(23555,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB52))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23556,plain,
% 39.32/25.72 ($false),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23555, 8, 23554])).
% 39.32/25.72 tff(23557,plain,(~v18(constB52)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.72 tff(23558,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23559,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23560,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23559, 23558])).
% 39.32/25.72 tff(23561,plain,
% 39.32/25.72 (v22(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23560, 21, 6295])).
% 39.32/25.72 tff(23562,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB52)) | (~v22(constB52)) | v18(constB52))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB52)) | (~v22(constB52)) | v18(constB52))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23563,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB52)) | (~v22(constB52)) | v18(constB52))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23564,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB52)) | (~v22(constB52)) | v18(constB52)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23563, 23562])).
% 39.32/25.72 tff(23565,plain,
% 39.32/25.72 ((~v19(constB52)) | v18(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23564, 35, 23561])).
% 39.32/25.72 tff(23566,plain,
% 39.32/25.72 (~v19(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23565, 23557])).
% 39.32/25.72 tff(23567,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23568,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23569,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23568, 23567])).
% 39.32/25.72 tff(23570,plain,
% 39.32/25.72 (v13(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23569, 50, 23566])).
% 39.32/25.72 tff(23571,plain,
% 39.32/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23572,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23573,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23572, 23571])).
% 39.32/25.72 tff(23574,plain,
% 39.32/25.72 ((~v13(constB52)) | v9(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23573, 67, 6275])).
% 39.32/25.72 tff(23575,plain,
% 39.32/25.72 (v9(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23574, 23570])).
% 39.32/25.72 tff(23576,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v141(constB51))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB51) | (~v9(constB51)) | v141(constB51))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23577,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v141(constB51))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23578,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB51) | (~v9(constB51)) | v141(constB51)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23577, 23576])).
% 39.32/25.72 tff(23579,plain,
% 39.32/25.72 ((~v9(constB51)) | v141(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23578, 85, 6149])).
% 39.32/25.72 tff(23580,plain,
% 39.32/25.72 (v141(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23579, 23575])).
% 39.32/25.72 tff(23581,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB51) | (~v141(constB51)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB51) | (~v141(constB51)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23582,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB51) | (~v141(constB51)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23583,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB51) | (~v141(constB51))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23582, 23581])).
% 39.32/25.72 tff(23584,plain,
% 39.32/25.72 (v140(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23583, 97, 23580])).
% 39.32/25.72 tff(23585,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB51)) | (~v153(constB51)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB51)) | (~v153(constB51)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23586,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB51)) | (~v153(constB51)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23587,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB51)) | (~v153(constB51))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23586, 23585])).
% 39.32/25.72 tff(23588,plain,
% 39.32/25.72 (~v153(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23587, 17156, 23584])).
% 39.32/25.72 tff(23589,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB51) | v154(constB51) | (~v150(constB51)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB51) | v154(constB51) | (~v150(constB51)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23590,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB51) | v154(constB51) | (~v150(constB51)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23591,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB51) | v154(constB51) | (~v150(constB51))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 39.32/25.72 tff(23592,plain,
% 39.32/25.72 (v154(constB51) | (~v150(constB51))),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23591, 17170, 23588])).
% 39.32/25.72 tff(23593,plain,
% 39.32/25.72 (~v150(constB51)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23592, 23553])).
% 39.32/25.72 tff(23594,plain,
% 39.32/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23595,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23596,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23595, 23594])).
% 39.32/25.72 tff(23597,plain,
% 39.32/25.72 (v150(constB51) | (~v152(constB52))),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23596, 17185, 6275])).
% 39.32/25.72 tff(23598,plain,
% 39.32/25.72 (~v152(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23597, 23593])).
% 39.32/25.72 tff(23599,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB52) | (~v153(constB52)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB52) | (~v153(constB52)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23600,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB52) | (~v153(constB52)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23601,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB52) | (~v153(constB52))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23600, 23599])).
% 39.32/25.72 tff(23602,plain,
% 39.32/25.72 (~v153(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23601, 17197, 23598])).
% 39.32/25.72 tff(23603,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB52)) | (~v141(constB52)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB52)) | (~v141(constB52)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23604,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB52)) | (~v141(constB52)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23605,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB52)) | (~v141(constB52))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23604, 23603])).
% 39.32/25.72 tff(23606,plain,
% 39.32/25.72 (~v141(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23605, 17066, 6295])).
% 39.32/25.72 tff(23607,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB52) | (~v155(constB52)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB52) | (~v155(constB52)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23608,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB52) | (~v155(constB52)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23609,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB52) | (~v155(constB52))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23608, 23607])).
% 39.32/25.72 tff(23610,plain,
% 39.32/25.72 (~v155(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23609, 17212, 23606])).
% 39.32/25.72 tff(23611,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB52) | (~v154(constB52)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB52) | (~v154(constB52)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23612,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB52) | (~v154(constB52)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23613,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB52) | (~v154(constB52))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23612, 23611])).
% 39.32/25.72 tff(23614,plain,
% 39.32/25.72 (~v154(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23613, 17223, 23610])).
% 39.32/25.72 tff(23615,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB52) | v154(constB52) | (~v150(constB52)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB52) | v154(constB52) | (~v150(constB52)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23616,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB52) | v154(constB52) | (~v150(constB52)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23617,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB52) | v154(constB52) | (~v150(constB52))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23616, 23615])).
% 39.32/25.72 tff(23618,plain,
% 39.32/25.72 (v153(constB52) | (~v150(constB52))),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23617, 17170, 23614])).
% 39.32/25.72 tff(23619,plain,
% 39.32/25.72 (~v150(constB52)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23618, 23602])).
% 39.32/25.72 tff(23620,plain,
% 39.32/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB52, constB53)) | v150(constB52) | (~v152(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB52, constB53)) | v150(constB52) | (~v152(constB53)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23621,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB52, constB53)) | v150(constB52) | (~v152(constB53)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23622,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB52, constB53)) | v150(constB52) | (~v152(constB53))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23621, 23620])).
% 39.32/25.72 tff(23623,plain,
% 39.32/25.72 (v150(constB52) | (~v152(constB53))),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23622, 17185, 6341])).
% 39.32/25.72 tff(23624,plain,
% 39.32/25.72 (~v152(constB53)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23623, 23619])).
% 39.32/25.72 tff(23625,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB53) | (~v164(constB53)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB53) | (~v164(constB53)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23626,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB53) | (~v164(constB53)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23627,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB53) | (~v164(constB53))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23626, 23625])).
% 39.32/25.72 tff(23628,plain,
% 39.32/25.72 (~v164(constB53)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23627, 17247, 23624])).
% 39.32/25.72 tff(23629,assumption,(v18(constB54)), introduced(assumption)).
% 39.32/25.72 tff(23630,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB54))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23631,plain,
% 39.32/25.72 ($false),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23630, 8, 23629])).
% 39.32/25.72 tff(23632,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.72 tff(23633,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23634,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23635,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23634, 23633])).
% 39.32/25.72 tff(23636,plain,
% 39.32/25.72 (v22(constB54)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23635, 21, 6478])).
% 39.32/25.72 tff(23637,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB54)) | (~v22(constB54)) | v18(constB54))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB54)) | (~v22(constB54)) | v18(constB54))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23638,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB54)) | (~v22(constB54)) | v18(constB54))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23639,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB54)) | (~v22(constB54)) | v18(constB54)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23638, 23637])).
% 39.32/25.72 tff(23640,plain,
% 39.32/25.72 ((~v19(constB54)) | v18(constB54)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23639, 35, 23636])).
% 39.32/25.72 tff(23641,plain,
% 39.32/25.72 (~v19(constB54)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23640, 23632])).
% 39.32/25.72 tff(23642,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23643,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23644,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23643, 23642])).
% 39.32/25.72 tff(23645,plain,
% 39.32/25.72 (v13(constB54)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23644, 50, 23641])).
% 39.32/25.72 tff(23646,plain,
% 39.32/25.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23647,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23648,plain,
% 39.32/25.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23647, 23646])).
% 39.32/25.72 tff(23649,plain,
% 39.32/25.72 ((~v13(constB54)) | v9(constB53)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23648, 67, 6450])).
% 39.32/25.72 tff(23650,plain,
% 39.32/25.72 (v9(constB53)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23649, 23645])).
% 39.32/25.72 tff(23651,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v141(constB53))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB53) | (~v9(constB53)) | v141(constB53))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23652,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v141(constB53))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23653,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB53) | (~v9(constB53)) | v141(constB53)),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23652, 23651])).
% 39.32/25.72 tff(23654,plain,
% 39.32/25.72 ((~v9(constB53)) | v141(constB53)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23653, 85, 6338])).
% 39.32/25.72 tff(23655,plain,
% 39.32/25.72 (v141(constB53)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23654, 23650])).
% 39.32/25.72 tff(23656,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB53) | (~v141(constB53)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB53) | (~v141(constB53)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23657,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB53) | (~v141(constB53)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23658,plain,
% 39.32/25.72 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB53) | (~v141(constB53))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23657, 23656])).
% 39.32/25.72 tff(23659,plain,
% 39.32/25.72 (v140(constB53)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23658, 97, 23655])).
% 39.32/25.72 tff(23660,plain,
% 39.32/25.72 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB53)) | (~v163(constB53)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB53)) | (~v163(constB53)))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23661,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB53)) | (~v163(constB53)))),
% 39.32/25.72 inference(quant_inst,[status(thm)],[])).
% 39.32/25.72 tff(23662,plain,
% 39.32/25.72 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB53)) | (~v163(constB53))),
% 39.32/25.72 inference(modus_ponens,[status(thm)],[23661, 23660])).
% 39.32/25.72 tff(23663,plain,
% 39.32/25.72 (~v163(constB53)),
% 39.32/25.72 inference(unit_resolution,[status(thm)],[23662, 17298, 23659])).
% 39.32/25.72 tff(23664,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB53)) | v163(constB53) | v164(constB53))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB53)) | v163(constB53) | v164(constB53))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23665,plain,
% 39.32/25.72 ((v164(constB53) | v163(constB53) | (~v160(constB53))) <=> ((~v160(constB53)) | v163(constB53) | v164(constB53))),
% 39.32/25.72 inference(rewrite,[status(thm)],[])).
% 39.32/25.72 tff(23666,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB53) | v163(constB53) | (~v160(constB53)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB53)) | v163(constB53) | v164(constB53)))),
% 39.32/25.72 inference(monotonicity,[status(thm)],[23665])).
% 39.32/25.72 tff(23667,plain,
% 39.32/25.72 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB53) | v163(constB53) | (~v160(constB53)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB53)) | v163(constB53) | v164(constB53))),
% 39.32/25.73 inference(transitivity,[status(thm)],[23666, 23664])).
% 39.32/25.73 tff(23668,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB53) | v163(constB53) | (~v160(constB53)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23669,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB53)) | v163(constB53) | v164(constB53)),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23668, 23667])).
% 39.32/25.73 tff(23670,plain,
% 39.32/25.73 ((~v160(constB53)) | v164(constB53)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23669, 17312, 23663])).
% 39.32/25.73 tff(23671,plain,
% 39.32/25.73 (~v160(constB53)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23670, 23628])).
% 39.32/25.73 tff(23672,plain,
% 39.32/25.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB53, constB54)) | v160(constB53) | (~v162(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB53, constB54)) | v160(constB53) | (~v162(constB54)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23673,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB53, constB54)) | v160(constB53) | (~v162(constB54)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23674,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB53, constB54)) | v160(constB53) | (~v162(constB54))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23673, 23672])).
% 39.32/25.73 tff(23675,plain,
% 39.32/25.73 (v160(constB53) | (~v162(constB54))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23674, 17330, 6450])).
% 39.32/25.73 tff(23676,plain,
% 39.32/25.73 (~v162(constB54)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23675, 23671])).
% 39.32/25.73 tff(23677,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB54) | (~v163(constB54)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB54) | (~v163(constB54)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23678,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB54) | (~v163(constB54)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23679,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB54) | (~v163(constB54))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23678, 23677])).
% 39.32/25.73 tff(23680,plain,
% 39.32/25.73 (~v163(constB54)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23679, 17342, 23676])).
% 39.32/25.73 tff(23681,plain,
% 39.32/25.73 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB54)) | (~v141(constB54)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB54)) | (~v141(constB54)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23682,plain,
% 39.32/25.73 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB54)) | (~v141(constB54)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23683,plain,
% 39.32/25.73 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB54)) | (~v141(constB54))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23682, 23681])).
% 39.32/25.73 tff(23684,plain,
% 39.32/25.73 (~v141(constB54)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23683, 17066, 6478])).
% 39.32/25.73 tff(23685,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB54) | (~v155(constB54)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB54) | (~v155(constB54)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23686,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB54) | (~v155(constB54)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23687,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB54) | (~v155(constB54))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23686, 23685])).
% 39.32/25.73 tff(23688,plain,
% 39.32/25.73 (~v155(constB54)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23687, 17212, 23684])).
% 39.32/25.73 tff(23689,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB54) | (~v164(constB54)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB54) | (~v164(constB54)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23690,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB54) | (~v164(constB54)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23691,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB54) | (~v164(constB54))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23690, 23689])).
% 39.32/25.73 tff(23692,plain,
% 39.32/25.73 (~v164(constB54)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23691, 17361, 23688])).
% 39.32/25.73 tff(23693,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB54)) | v164(constB54) | v163(constB54))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB54)) | v164(constB54) | v163(constB54))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23694,plain,
% 39.32/25.73 ((v164(constB54) | v163(constB54) | (~v160(constB54))) <=> ((~v160(constB54)) | v164(constB54) | v163(constB54))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23695,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB54) | v163(constB54) | (~v160(constB54)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB54)) | v164(constB54) | v163(constB54)))),
% 39.32/25.73 inference(monotonicity,[status(thm)],[23694])).
% 39.32/25.73 tff(23696,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB54) | v163(constB54) | (~v160(constB54)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB54)) | v164(constB54) | v163(constB54))),
% 39.32/25.73 inference(transitivity,[status(thm)],[23695, 23693])).
% 39.32/25.73 tff(23697,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB54) | v163(constB54) | (~v160(constB54)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23698,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB54)) | v164(constB54) | v163(constB54)),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23697, 23696])).
% 39.32/25.73 tff(23699,plain,
% 39.32/25.73 ((~v160(constB54)) | v163(constB54)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23698, 17312, 23692])).
% 39.32/25.73 tff(23700,plain,
% 39.32/25.73 (~v160(constB54)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23699, 23680])).
% 39.32/25.73 tff(23701,plain,
% 39.32/25.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB54, constB55)) | v160(constB54) | (~v162(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB54, constB55)) | v160(constB54) | (~v162(constB55)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23702,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB54, constB55)) | v160(constB54) | (~v162(constB55)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23703,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB54, constB55)) | v160(constB54) | (~v162(constB55))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23702, 23701])).
% 39.32/25.73 tff(23704,plain,
% 39.32/25.73 (v160(constB54) | (~v162(constB55))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23703, 17330, 6629])).
% 39.32/25.73 tff(23705,plain,
% 39.32/25.73 (~v162(constB55)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23704, 23700])).
% 39.32/25.73 tff(23706,plain,
% 39.32/25.73 ($false),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23705, 23447])).
% 39.32/25.73 tff(23707,plain,(~(constB55 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.73 tff(23708,assumption,(constB97 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.73 tff(23709,plain,
% 39.32/25.73 (v162(constB97) <=> v162(sK0_VarCurr)),
% 39.32/25.73 inference(monotonicity,[status(thm)],[23708])).
% 39.32/25.73 tff(23710,plain,
% 39.32/25.73 (v162(sK0_VarCurr) <=> v162(constB97)),
% 39.32/25.73 inference(symmetry,[status(thm)],[23709])).
% 39.32/25.73 tff(23711,plain,
% 39.32/25.73 (v162(constB97)),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[17398, 23710])).
% 39.32/25.73 tff(23712,plain,
% 39.32/25.73 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB91, bitIndex1)) | (~v145(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB91, bitIndex1)) | (~v145(constB91)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23713,plain,
% 39.32/25.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB91, bitIndex1)) | (~v145(constB91)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23714,plain,
% 39.32/25.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB91, bitIndex1)) | (~v145(constB91))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23713, 23712])).
% 39.32/25.73 tff(23715,plain,
% 39.32/25.73 (~v145(constB91)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23714, 1116, 10736])).
% 39.32/25.73 tff(23716,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB91) | (~v144(constB91)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB91) | (~v144(constB91)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23717,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB91) | (~v144(constB91)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23718,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB91) | (~v144(constB91))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23717, 23716])).
% 39.32/25.73 tff(23719,plain,
% 39.32/25.73 (~v144(constB91)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23718, 17003, 23715])).
% 39.32/25.73 tff(23720,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB91) | (~v142(constB91)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB91) | (~v142(constB91)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23721,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB91) | (~v142(constB91)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23722,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB91) | (~v142(constB91))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23721, 23720])).
% 39.32/25.73 tff(23723,plain,
% 39.32/25.73 (~v142(constB91)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23722, 17014, 23719])).
% 39.32/25.73 tff(23724,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB91) | (~v138(constB91)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB91) | (~v138(constB91)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23725,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB91) | (~v138(constB91)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23726,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB91) | (~v138(constB91))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23725, 23724])).
% 39.32/25.73 tff(23727,plain,
% 39.32/25.73 (~v138(constB91)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23726, 17055, 17524])).
% 39.32/25.73 tff(23728,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB91) | v142(constB91) | (~v135(constB91)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB91) | v142(constB91) | (~v135(constB91)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23729,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB91) | v142(constB91) | (~v135(constB91)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23730,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB91) | v142(constB91) | (~v135(constB91))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 39.32/25.73 tff(23731,plain,
% 39.32/25.73 (v142(constB91) | (~v135(constB91))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23730, 17028, 23727])).
% 39.32/25.73 tff(23732,plain,
% 39.32/25.73 (~v135(constB91)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23731, 23723])).
% 39.32/25.73 tff(23733,plain,
% 39.32/25.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23734,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23735,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23734, 23733])).
% 39.32/25.73 tff(23736,plain,
% 39.32/25.73 (v135(constB91) | (~v137(constB92))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23735, 17043, 11156])).
% 39.32/25.73 tff(23737,plain,
% 39.32/25.73 (~v137(constB92)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23736, 23732])).
% 39.32/25.73 tff(23738,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB92) | (~v138(constB92)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB92) | (~v138(constB92)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23739,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB92) | (~v138(constB92)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23740,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB92) | (~v138(constB92))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23739, 23738])).
% 39.32/25.73 tff(23741,plain,
% 39.32/25.73 (~v138(constB92)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23740, 17055, 23737])).
% 39.32/25.73 tff(23742,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB92) | (~v144(constB92)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB92) | (~v144(constB92)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23743,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB92) | (~v144(constB92)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23744,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB92) | (~v144(constB92))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23743, 23742])).
% 39.32/25.73 tff(23745,plain,
% 39.32/25.73 (~v144(constB92)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23744, 17077, 17546])).
% 39.32/25.73 tff(23746,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB92) | (~v142(constB92)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB92) | (~v142(constB92)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23747,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB92) | (~v142(constB92)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23748,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB92) | (~v142(constB92))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23747, 23746])).
% 39.32/25.73 tff(23749,plain,
% 39.32/25.73 (~v142(constB92)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23748, 17014, 23745])).
% 39.32/25.73 tff(23750,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB92) | v142(constB92) | (~v135(constB92)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB92) | v142(constB92) | (~v135(constB92)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23751,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB92) | v142(constB92) | (~v135(constB92)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23752,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB92) | v142(constB92) | (~v135(constB92))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23751, 23750])).
% 39.32/25.73 tff(23753,plain,
% 39.32/25.73 (v138(constB92) | (~v135(constB92))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23752, 17028, 23749])).
% 39.32/25.73 tff(23754,plain,
% 39.32/25.73 (~v135(constB92)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23753, 23741])).
% 39.32/25.73 tff(23755,plain,
% 39.32/25.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23756,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23757,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 39.32/25.73 tff(23758,plain,
% 39.32/25.73 (v135(constB92) | (~v137(constB93))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23757, 17043, 11218])).
% 39.32/25.73 tff(23759,plain,
% 39.32/25.73 (~v137(constB93)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23758, 23754])).
% 39.32/25.73 tff(23760,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB93) | (~v154(constB93)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB93) | (~v154(constB93)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23761,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB93) | (~v154(constB93)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23762,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB93) | (~v154(constB93))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23761, 23760])).
% 39.32/25.73 tff(23763,plain,
% 39.32/25.73 (~v154(constB93)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23762, 17105, 23759])).
% 39.32/25.73 tff(23764,plain,
% 39.32/25.73 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB93)) | (~v153(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB93)) | (~v153(constB93)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23765,plain,
% 39.32/25.73 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB93)) | (~v153(constB93)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23766,plain,
% 39.32/25.73 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB93)) | (~v153(constB93))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23765, 23764])).
% 39.32/25.73 tff(23767,plain,
% 39.32/25.73 (~v153(constB93)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23766, 17156, 17599])).
% 39.32/25.73 tff(23768,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB93) | v154(constB93) | (~v150(constB93)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB93) | v154(constB93) | (~v150(constB93)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23769,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB93) | v154(constB93) | (~v150(constB93)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23770,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB93) | v154(constB93) | (~v150(constB93))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23769, 23768])).
% 39.32/25.73 tff(23771,plain,
% 39.32/25.73 (v154(constB93) | (~v150(constB93))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23770, 17170, 23767])).
% 39.32/25.73 tff(23772,plain,
% 39.32/25.73 (~v150(constB93)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23771, 23763])).
% 39.32/25.73 tff(23773,plain,
% 39.32/25.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23774,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23775,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23774, 23773])).
% 39.32/25.73 tff(23776,plain,
% 39.32/25.73 (v150(constB93) | (~v152(constB94))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23775, 17185, 11339])).
% 39.32/25.73 tff(23777,plain,
% 39.32/25.73 (~v152(constB94)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23776, 23772])).
% 39.32/25.73 tff(23778,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB94) | (~v153(constB94)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB94) | (~v153(constB94)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23779,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB94) | (~v153(constB94)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23780,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB94) | (~v153(constB94))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23779, 23778])).
% 39.32/25.73 tff(23781,plain,
% 39.32/25.73 (~v153(constB94)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23780, 17197, 23777])).
% 39.32/25.73 tff(23782,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB94) | (~v154(constB94)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB94) | (~v154(constB94)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23783,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB94) | (~v154(constB94)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23784,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB94) | (~v154(constB94))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23783, 23782])).
% 39.32/25.73 tff(23785,plain,
% 39.32/25.73 (~v154(constB94)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23784, 17223, 17628])).
% 39.32/25.73 tff(23786,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB94) | v154(constB94) | (~v150(constB94)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB94) | v154(constB94) | (~v150(constB94)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23787,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB94) | v154(constB94) | (~v150(constB94)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23788,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB94) | v154(constB94) | (~v150(constB94))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23787, 23786])).
% 39.32/25.73 tff(23789,plain,
% 39.32/25.73 (v153(constB94) | (~v150(constB94))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23788, 17170, 23785])).
% 39.32/25.73 tff(23790,plain,
% 39.32/25.73 (~v150(constB94)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23789, 23781])).
% 39.32/25.73 tff(23791,plain,
% 39.32/25.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23792,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23793,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23792, 23791])).
% 39.32/25.73 tff(23794,plain,
% 39.32/25.73 (v150(constB94) | (~v152(constB95))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23793, 17185, 11401])).
% 39.32/25.73 tff(23795,plain,
% 39.32/25.73 (~v152(constB95)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23794, 23790])).
% 39.32/25.73 tff(23796,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB95) | (~v164(constB95)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB95) | (~v164(constB95)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23797,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB95) | (~v164(constB95)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23798,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB95) | (~v164(constB95))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23797, 23796])).
% 39.32/25.73 tff(23799,plain,
% 39.32/25.73 (~v164(constB95)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23798, 17247, 23795])).
% 39.32/25.73 tff(23800,plain,
% 39.32/25.73 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB95)) | (~v163(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB95)) | (~v163(constB95)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23801,plain,
% 39.32/25.73 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB95)) | (~v163(constB95)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23802,plain,
% 39.32/25.73 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB95)) | (~v163(constB95))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23801, 23800])).
% 39.32/25.73 tff(23803,plain,
% 39.32/25.73 (~v163(constB95)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23802, 17298, 23097])).
% 39.32/25.73 tff(23804,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB95)) | v164(constB95) | v163(constB95))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB95)) | v164(constB95) | v163(constB95))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23805,plain,
% 39.32/25.73 ((v164(constB95) | v163(constB95) | (~v160(constB95))) <=> ((~v160(constB95)) | v164(constB95) | v163(constB95))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23806,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB95) | v163(constB95) | (~v160(constB95)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB95)) | v164(constB95) | v163(constB95)))),
% 39.32/25.73 inference(monotonicity,[status(thm)],[23805])).
% 39.32/25.73 tff(23807,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB95) | v163(constB95) | (~v160(constB95)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB95)) | v164(constB95) | v163(constB95))),
% 39.32/25.73 inference(transitivity,[status(thm)],[23806, 23804])).
% 39.32/25.73 tff(23808,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB95) | v163(constB95) | (~v160(constB95)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23809,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB95)) | v164(constB95) | v163(constB95)),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23808, 23807])).
% 39.32/25.73 tff(23810,plain,
% 39.32/25.73 ((~v160(constB95)) | v164(constB95)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23809, 17312, 23803])).
% 39.32/25.73 tff(23811,plain,
% 39.32/25.73 (~v160(constB95)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23810, 23799])).
% 39.32/25.73 tff(23812,plain,
% 39.32/25.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23813,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23814,plain,
% 39.32/25.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23813, 23812])).
% 39.32/25.73 tff(23815,plain,
% 39.32/25.73 (v160(constB95) | (~v162(constB96))),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23814, 17330, 11514])).
% 39.32/25.73 tff(23816,plain,
% 39.32/25.73 (~v162(constB96)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23815, 23811])).
% 39.32/25.73 tff(23817,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB96) | (~v163(constB96)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB96) | (~v163(constB96)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23818,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB96) | (~v163(constB96)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23819,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB96) | (~v163(constB96))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23818, 23817])).
% 39.32/25.73 tff(23820,plain,
% 39.32/25.73 (~v163(constB96)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23819, 17342, 23816])).
% 39.32/25.73 tff(23821,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB96) | (~v164(constB96)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB96) | (~v164(constB96)))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23822,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB96) | (~v164(constB96)))),
% 39.32/25.73 inference(quant_inst,[status(thm)],[])).
% 39.32/25.73 tff(23823,plain,
% 39.32/25.73 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB96) | (~v164(constB96))),
% 39.32/25.73 inference(modus_ponens,[status(thm)],[23822, 23821])).
% 39.32/25.73 tff(23824,plain,
% 39.32/25.73 (~v164(constB96)),
% 39.32/25.73 inference(unit_resolution,[status(thm)],[23823, 17361, 23123])).
% 39.32/25.73 tff(23825,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB96)) | v164(constB96) | v163(constB96))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB96)) | v164(constB96) | v163(constB96))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23826,plain,
% 39.32/25.73 ((v164(constB96) | v163(constB96) | (~v160(constB96))) <=> ((~v160(constB96)) | v164(constB96) | v163(constB96))),
% 39.32/25.73 inference(rewrite,[status(thm)],[])).
% 39.32/25.73 tff(23827,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB96) | v163(constB96) | (~v160(constB96)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB96)) | v164(constB96) | v163(constB96)))),
% 39.32/25.73 inference(monotonicity,[status(thm)],[23826])).
% 39.32/25.73 tff(23828,plain,
% 39.32/25.73 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB96) | v163(constB96) | (~v160(constB96)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB96)) | v164(constB96) | v163(constB96))),
% 39.32/25.73 inference(transitivity,[status(thm)],[23827, 23825])).
% 39.32/25.74 tff(23829,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB96) | v163(constB96) | (~v160(constB96)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23830,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB96)) | v164(constB96) | v163(constB96)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23829, 23828])).
% 39.32/25.74 tff(23831,plain,
% 39.32/25.74 ((~v160(constB96)) | v163(constB96)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23830, 17312, 23824])).
% 39.32/25.74 tff(23832,plain,
% 39.32/25.74 (~v160(constB96)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23831, 23820])).
% 39.32/25.74 tff(23833,plain,
% 39.32/25.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23834,plain,
% 39.32/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23835,plain,
% 39.32/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23834, 23833])).
% 39.32/25.74 tff(23836,plain,
% 39.32/25.74 (v160(constB96) | (~v162(constB97))),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23835, 17330, 11606])).
% 39.32/25.74 tff(23837,plain,
% 39.32/25.74 (~v162(constB97)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23836, 23832])).
% 39.32/25.74 tff(23838,plain,
% 39.32/25.74 ($false),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23837, 23711])).
% 39.32/25.74 tff(23839,plain,(~(constB97 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.74 tff(23840,assumption,(constB60 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.74 tff(23841,plain,
% 39.32/25.74 (v1(constB60) <=> v1(sK0_VarCurr)),
% 39.32/25.74 inference(monotonicity,[status(thm)],[23840])).
% 39.32/25.74 tff(23842,plain,
% 39.32/25.74 (v1(sK0_VarCurr) <=> v1(constB60)),
% 39.32/25.74 inference(symmetry,[status(thm)],[23841])).
% 39.32/25.74 tff(23843,plain,
% 39.32/25.74 ((~v1(sK0_VarCurr)) <=> (~v1(constB60))),
% 39.32/25.74 inference(monotonicity,[status(thm)],[23842])).
% 39.32/25.74 tff(23844,plain,
% 39.32/25.74 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v170(VarCurr))) <=> (v141(VarCurr) | (~v170(VarCurr))))),
% 39.32/25.74 inference(bind,[status(th)],[])).
% 39.32/25.74 tff(23845,plain,
% 39.32/25.74 (![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 39.32/25.74 inference(quant_intro,[status(thm)],[23844])).
% 39.32/25.74 tff(23846,plain,
% 39.32/25.74 (![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23847,axiom,(![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_1_1_2')).
% 39.32/25.74 tff(23848,plain,
% 39.32/25.74 (![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23847, 23846])).
% 39.32/25.74 tff(23849,plain,(
% 39.32/25.74 ![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 39.32/25.74 inference(skolemize,[status(sab)],[23848])).
% 39.32/25.74 tff(23850,plain,
% 39.32/25.74 (![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23849, 23845])).
% 39.32/25.74 tff(23851,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))) | (v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))) | v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23852,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))) | (v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23853,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))) | v141(sK0_VarCurr) | (~v170(sK0_VarCurr))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23852, 23851])).
% 39.32/25.74 tff(23854,plain,
% 39.32/25.74 (v141(sK0_VarCurr)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23853, 23850, 19951])).
% 39.32/25.74 tff(23855,plain,
% 39.32/25.74 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23856,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23857,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23856, 23855])).
% 39.32/25.74 tff(23858,plain,
% 39.32/25.74 (~v1(sK0_VarCurr)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23857, 17066, 23854])).
% 39.32/25.74 tff(23859,plain,
% 39.32/25.74 (~v1(constB60)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23858, 23843])).
% 39.32/25.74 tff(23860,plain,
% 39.32/25.74 ($false),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[7459, 23859])).
% 39.32/25.74 tff(23861,plain,(~(constB60 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.74 tff(23862,assumption,(v18(constB124)), introduced(assumption)).
% 39.32/25.74 tff(23863,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB124))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23864,plain,
% 39.32/25.74 ($false),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23863, 8, 23862])).
% 39.32/25.74 tff(23865,plain,(~v18(constB124)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.74 tff(23866,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB124) | (~v1(constB124)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB124) | (~v1(constB124)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23867,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB124) | (~v1(constB124)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23868,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB124) | (~v1(constB124))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23867, 23866])).
% 39.32/25.74 tff(23869,plain,
% 39.32/25.74 (v22(constB124)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23868, 21, 14477])).
% 39.32/25.74 tff(23870,plain,
% 39.32/25.74 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB124)) | (~v22(constB124)) | v18(constB124))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB124)) | (~v22(constB124)) | v18(constB124))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23871,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB124)) | (~v22(constB124)) | v18(constB124))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23872,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB124)) | (~v22(constB124)) | v18(constB124)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23871, 23870])).
% 39.32/25.74 tff(23873,plain,
% 39.32/25.74 ((~v19(constB124)) | v18(constB124)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23872, 35, 23869])).
% 39.32/25.74 tff(23874,plain,
% 39.32/25.74 (~v19(constB124)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23873, 23865])).
% 39.32/25.74 tff(23875,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB124) | v19(constB124))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB124) | v19(constB124))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23876,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB124) | v19(constB124))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23877,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB124) | v19(constB124)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23876, 23875])).
% 39.32/25.74 tff(23878,plain,
% 39.32/25.74 (v13(constB124)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23877, 50, 23874])).
% 39.32/25.74 tff(23879,plain,
% 39.32/25.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB123, constB124)) | (~v13(constB124)) | v9(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB123, constB124)) | (~v13(constB124)) | v9(constB123))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23880,plain,
% 39.32/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB123, constB124)) | (~v13(constB124)) | v9(constB123))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23881,plain,
% 39.32/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB123, constB124)) | (~v13(constB124)) | v9(constB123)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 39.32/25.74 tff(23882,plain,
% 39.32/25.74 ((~v13(constB124)) | v9(constB123)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23881, 67, 14457])).
% 39.32/25.74 tff(23883,plain,
% 39.32/25.74 (v9(constB123)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23882, 23878])).
% 39.32/25.74 tff(23884,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB123) | (~v9(constB123)) | v141(constB123))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB123) | (~v9(constB123)) | v141(constB123))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23885,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB123) | (~v9(constB123)) | v141(constB123))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23886,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB123) | (~v9(constB123)) | v141(constB123)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23885, 23884])).
% 39.32/25.74 tff(23887,plain,
% 39.32/25.74 ((~v9(constB123)) | v141(constB123)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23886, 85, 14333])).
% 39.32/25.74 tff(23888,plain,
% 39.32/25.74 (v141(constB123)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23887, 23883])).
% 39.32/25.74 tff(23889,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB123) | (~v141(constB123)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB123) | (~v141(constB123)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23890,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB123) | (~v141(constB123)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23891,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB123) | (~v141(constB123))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23890, 23889])).
% 39.32/25.74 tff(23892,plain,
% 39.32/25.74 (v140(constB123)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23891, 97, 23888])).
% 39.32/25.74 tff(23893,plain,
% 39.32/25.74 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB123)) | (~v163(constB123)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB123)) | (~v163(constB123)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23894,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB123)) | (~v163(constB123)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23895,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB123)) | (~v163(constB123))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23894, 23893])).
% 39.32/25.74 tff(23896,plain,
% 39.32/25.74 (~v163(constB123)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23895, 17298, 23892])).
% 39.32/25.74 tff(23897,plain,
% 39.32/25.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB119, bitIndex1)) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB119, bitIndex1)) | (~v145(constB119)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23898,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB119, bitIndex1)) | (~v145(constB119)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23899,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB119, bitIndex1)) | (~v145(constB119))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23898, 23897])).
% 39.32/25.74 tff(23900,plain,
% 39.32/25.74 (~v145(constB119)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23899, 1116, 14010])).
% 39.32/25.74 tff(23901,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB119) | (~v144(constB119)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB119) | (~v144(constB119)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23902,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB119) | (~v144(constB119)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23903,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB119) | (~v144(constB119))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23902, 23901])).
% 39.32/25.74 tff(23904,plain,
% 39.32/25.74 (~v144(constB119)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23903, 17003, 23900])).
% 39.32/25.74 tff(23905,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB119) | (~v142(constB119)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB119) | (~v142(constB119)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23906,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB119) | (~v142(constB119)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23907,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB119) | (~v142(constB119))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 39.32/25.74 tff(23908,plain,
% 39.32/25.74 (~v142(constB119)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23907, 17014, 23904])).
% 39.32/25.74 tff(23909,assumption,(v18(constB120)), introduced(assumption)).
% 39.32/25.74 tff(23910,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB120))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23911,plain,
% 39.32/25.74 ($false),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23910, 8, 23909])).
% 39.32/25.74 tff(23912,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.74 tff(23913,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23914,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23915,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 39.32/25.74 tff(23916,plain,
% 39.32/25.74 (v22(constB120)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23915, 21, 14107])).
% 39.32/25.74 tff(23917,plain,
% 39.32/25.74 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23918,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23919,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23918, 23917])).
% 39.32/25.74 tff(23920,plain,
% 39.32/25.74 ((~v19(constB120)) | v18(constB120)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23919, 35, 23916])).
% 39.32/25.74 tff(23921,plain,
% 39.32/25.74 (~v19(constB120)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23920, 23912])).
% 39.32/25.74 tff(23922,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23923,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23924,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23923, 23922])).
% 39.32/25.74 tff(23925,plain,
% 39.32/25.74 (v13(constB120)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23924, 50, 23921])).
% 39.32/25.74 tff(23926,plain,
% 39.32/25.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23927,plain,
% 39.32/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23928,plain,
% 39.32/25.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23927, 23926])).
% 39.32/25.74 tff(23929,plain,
% 39.32/25.74 ((~v13(constB120)) | v9(constB119)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23928, 67, 14087])).
% 39.32/25.74 tff(23930,plain,
% 39.32/25.74 (v9(constB119)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23929, 23925])).
% 39.32/25.74 tff(23931,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v141(constB119))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB119) | (~v9(constB119)) | v141(constB119))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23932,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v141(constB119))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23933,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB119) | (~v9(constB119)) | v141(constB119)),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23932, 23931])).
% 39.32/25.74 tff(23934,plain,
% 39.32/25.74 ((~v9(constB119)) | v141(constB119)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23933, 85, 13955])).
% 39.32/25.74 tff(23935,plain,
% 39.32/25.74 (v141(constB119)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23934, 23930])).
% 39.32/25.74 tff(23936,plain,
% 39.32/25.74 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB119) | (~v141(constB119)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB119) | (~v141(constB119)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23937,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB119) | (~v141(constB119)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23938,plain,
% 39.32/25.74 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB119) | (~v141(constB119))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23937, 23936])).
% 39.32/25.74 tff(23939,plain,
% 39.32/25.74 (v140(constB119)),
% 39.32/25.74 inference(unit_resolution,[status(thm)],[23938, 97, 23935])).
% 39.32/25.74 tff(23940,plain,
% 39.32/25.74 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB119)) | (~v140(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB119)) | (~v140(constB119)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23941,plain,
% 39.32/25.74 (((~v140(constB119)) | (~v138(constB119))) <=> ((~v138(constB119)) | (~v140(constB119)))),
% 39.32/25.74 inference(rewrite,[status(thm)],[])).
% 39.32/25.74 tff(23942,plain,
% 39.32/25.74 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB119)) | (~v138(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB119)) | (~v140(constB119))))),
% 39.32/25.74 inference(monotonicity,[status(thm)],[23941])).
% 39.32/25.74 tff(23943,plain,
% 39.32/25.74 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB119)) | (~v138(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB119)) | (~v140(constB119)))),
% 39.32/25.74 inference(transitivity,[status(thm)],[23942, 23940])).
% 39.32/25.74 tff(23944,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB119)) | (~v138(constB119)))),
% 39.32/25.74 inference(quant_inst,[status(thm)],[])).
% 39.32/25.74 tff(23945,plain,
% 39.32/25.74 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB119)) | (~v140(constB119))),
% 39.32/25.74 inference(modus_ponens,[status(thm)],[23944, 23943])).
% 39.32/25.75 tff(23946,plain,
% 39.32/25.75 (~v138(constB119)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23945, 108, 23939])).
% 39.32/25.75 tff(23947,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB119) | v142(constB119) | (~v135(constB119)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB119) | v142(constB119) | (~v135(constB119)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23948,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB119) | v142(constB119) | (~v135(constB119)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23949,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB119) | v142(constB119) | (~v135(constB119))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 39.32/25.75 tff(23950,plain,
% 39.32/25.75 (v142(constB119) | (~v135(constB119))),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23949, 17028, 23946])).
% 39.32/25.75 tff(23951,plain,
% 39.32/25.75 (~v135(constB119)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23950, 23908])).
% 39.32/25.75 tff(23952,plain,
% 39.32/25.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB119, constB120)) | v135(constB119) | (~v137(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB119, constB120)) | v135(constB119) | (~v137(constB120)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23953,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB119, constB120)) | v135(constB119) | (~v137(constB120)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23954,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB119, constB120)) | v135(constB119) | (~v137(constB120))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23953, 23952])).
% 39.32/25.75 tff(23955,plain,
% 39.32/25.75 (v135(constB119) | (~v137(constB120))),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23954, 17043, 14087])).
% 39.32/25.75 tff(23956,plain,
% 39.32/25.75 (~v137(constB120)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23955, 23951])).
% 39.32/25.75 tff(23957,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB120) | (~v138(constB120)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB120) | (~v138(constB120)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23958,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB120) | (~v138(constB120)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23959,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB120) | (~v138(constB120))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23958, 23957])).
% 39.32/25.75 tff(23960,plain,
% 39.32/25.75 (~v138(constB120)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23959, 17055, 23956])).
% 39.32/25.75 tff(23961,plain,
% 39.32/25.75 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB120)) | (~v141(constB120)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB120)) | (~v141(constB120)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23962,plain,
% 39.32/25.75 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB120)) | (~v141(constB120)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23963,plain,
% 39.32/25.75 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB120)) | (~v141(constB120))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 39.32/25.75 tff(23964,plain,
% 39.32/25.75 (~v141(constB120)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23963, 17066, 14107])).
% 39.32/25.75 tff(23965,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB120) | (~v144(constB120)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB120) | (~v144(constB120)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23966,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB120) | (~v144(constB120)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23967,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB120) | (~v144(constB120))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 39.32/25.75 tff(23968,plain,
% 39.32/25.75 (~v144(constB120)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23967, 17077, 23964])).
% 39.32/25.75 tff(23969,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB120) | (~v142(constB120)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB120) | (~v142(constB120)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23970,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB120) | (~v142(constB120)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23971,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB120) | (~v142(constB120))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23970, 23969])).
% 39.32/25.75 tff(23972,plain,
% 39.32/25.75 (~v142(constB120)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23971, 17014, 23968])).
% 39.32/25.75 tff(23973,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB120) | v142(constB120) | (~v135(constB120)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB120) | v142(constB120) | (~v135(constB120)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23974,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB120) | v142(constB120) | (~v135(constB120)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23975,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB120) | v142(constB120) | (~v135(constB120))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23974, 23973])).
% 39.32/25.75 tff(23976,plain,
% 39.32/25.75 (v138(constB120) | (~v135(constB120))),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23975, 17028, 23972])).
% 39.32/25.75 tff(23977,plain,
% 39.32/25.75 (~v135(constB120)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23976, 23960])).
% 39.32/25.75 tff(23978,plain,
% 39.32/25.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB120, constB121)) | v135(constB120) | (~v137(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB120, constB121)) | v135(constB120) | (~v137(constB121)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23979,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB120, constB121)) | v135(constB120) | (~v137(constB121)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23980,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB120, constB121)) | v135(constB120) | (~v137(constB121))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 39.32/25.75 tff(23981,plain,
% 39.32/25.75 (v135(constB120) | (~v137(constB121))),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23980, 17043, 14152])).
% 39.32/25.75 tff(23982,plain,
% 39.32/25.75 (~v137(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23981, 23977])).
% 39.32/25.75 tff(23983,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB121) | (~v154(constB121)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB121) | (~v154(constB121)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23984,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB121) | (~v154(constB121)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23985,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB121) | (~v154(constB121))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23984, 23983])).
% 39.32/25.75 tff(23986,plain,
% 39.32/25.75 (~v154(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23985, 17105, 23982])).
% 39.32/25.75 tff(23987,assumption,(v18(constB122)), introduced(assumption)).
% 39.32/25.75 tff(23988,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB122))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23989,plain,
% 39.32/25.75 ($false),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23988, 8, 23987])).
% 39.32/25.75 tff(23990,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.75 tff(23991,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23992,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23993,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23992, 23991])).
% 39.32/25.75 tff(23994,plain,
% 39.32/25.75 (v22(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23993, 21, 14294])).
% 39.32/25.75 tff(23995,plain,
% 39.32/25.75 (((~![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))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(23996,plain,
% 39.32/25.75 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(23997,plain,
% 39.32/25.75 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122)),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[23996, 23995])).
% 39.32/25.75 tff(23998,plain,
% 39.32/25.75 ((~v19(constB122)) | v18(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23997, 35, 23994])).
% 39.32/25.75 tff(23999,plain,
% 39.32/25.75 (~v19(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[23998, 23990])).
% 39.32/25.75 tff(24000,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24001,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24002,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24001, 24000])).
% 39.32/25.75 tff(24003,plain,
% 39.32/25.75 (v13(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24002, 50, 23999])).
% 39.32/25.75 tff(24004,plain,
% 39.32/25.75 (((~![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))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24005,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24006,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121)),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24005, 24004])).
% 39.32/25.75 tff(24007,plain,
% 39.32/25.75 ((~v13(constB122)) | v9(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24006, 67, 14274])).
% 39.32/25.75 tff(24008,plain,
% 39.32/25.75 (v9(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24007, 24003])).
% 39.32/25.75 tff(24009,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v141(constB121))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB121) | (~v9(constB121)) | v141(constB121))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24010,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v141(constB121))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24011,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB121) | (~v9(constB121)) | v141(constB121)),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24010, 24009])).
% 39.32/25.75 tff(24012,plain,
% 39.32/25.75 ((~v9(constB121)) | v141(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24011, 85, 14149])).
% 39.32/25.75 tff(24013,plain,
% 39.32/25.75 (v141(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24012, 24008])).
% 39.32/25.75 tff(24014,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB121) | (~v141(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB121) | (~v141(constB121)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24015,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB121) | (~v141(constB121)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24016,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB121) | (~v141(constB121))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24015, 24014])).
% 39.32/25.75 tff(24017,plain,
% 39.32/25.75 (v140(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24016, 97, 24013])).
% 39.32/25.75 tff(24018,plain,
% 39.32/25.75 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB121)) | (~v153(constB121)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB121)) | (~v153(constB121)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24019,plain,
% 39.32/25.75 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB121)) | (~v153(constB121)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24020,plain,
% 39.32/25.75 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB121)) | (~v153(constB121))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24019, 24018])).
% 39.32/25.75 tff(24021,plain,
% 39.32/25.75 (~v153(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24020, 17156, 24017])).
% 39.32/25.75 tff(24022,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB121) | v154(constB121) | (~v150(constB121)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB121) | v154(constB121) | (~v150(constB121)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24023,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB121) | v154(constB121) | (~v150(constB121)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24024,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB121) | v154(constB121) | (~v150(constB121))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24023, 24022])).
% 39.32/25.75 tff(24025,plain,
% 39.32/25.75 (v154(constB121) | (~v150(constB121))),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24024, 17170, 24021])).
% 39.32/25.75 tff(24026,plain,
% 39.32/25.75 (~v150(constB121)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24025, 23986])).
% 39.32/25.75 tff(24027,plain,
% 39.32/25.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB121, constB122)) | v150(constB121) | (~v152(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB121, constB122)) | v150(constB121) | (~v152(constB122)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24028,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB121, constB122)) | v150(constB121) | (~v152(constB122)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24029,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB121, constB122)) | v150(constB121) | (~v152(constB122))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24028, 24027])).
% 39.32/25.75 tff(24030,plain,
% 39.32/25.75 (v150(constB121) | (~v152(constB122))),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24029, 17185, 14274])).
% 39.32/25.75 tff(24031,plain,
% 39.32/25.75 (~v152(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24030, 24026])).
% 39.32/25.75 tff(24032,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB122) | (~v153(constB122)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB122) | (~v153(constB122)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24033,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB122) | (~v153(constB122)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24034,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB122) | (~v153(constB122))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24033, 24032])).
% 39.32/25.75 tff(24035,plain,
% 39.32/25.75 (~v153(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24034, 17197, 24031])).
% 39.32/25.75 tff(24036,plain,
% 39.32/25.75 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB122)) | (~v141(constB122)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB122)) | (~v141(constB122)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24037,plain,
% 39.32/25.75 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB122)) | (~v141(constB122)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24038,plain,
% 39.32/25.75 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB122)) | (~v141(constB122))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24037, 24036])).
% 39.32/25.75 tff(24039,plain,
% 39.32/25.75 (~v141(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24038, 17066, 14294])).
% 39.32/25.75 tff(24040,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB122) | (~v155(constB122)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB122) | (~v155(constB122)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24041,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB122) | (~v155(constB122)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24042,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB122) | (~v155(constB122))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24041, 24040])).
% 39.32/25.75 tff(24043,plain,
% 39.32/25.75 (~v155(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24042, 17212, 24039])).
% 39.32/25.75 tff(24044,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB122) | (~v154(constB122)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB122) | (~v154(constB122)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24045,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB122) | (~v154(constB122)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24046,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB122) | (~v154(constB122))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24045, 24044])).
% 39.32/25.75 tff(24047,plain,
% 39.32/25.75 (~v154(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24046, 17223, 24043])).
% 39.32/25.75 tff(24048,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB122) | v154(constB122) | (~v150(constB122)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB122) | v154(constB122) | (~v150(constB122)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24049,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB122) | v154(constB122) | (~v150(constB122)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24050,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB122) | v154(constB122) | (~v150(constB122))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24049, 24048])).
% 39.32/25.75 tff(24051,plain,
% 39.32/25.75 (v153(constB122) | (~v150(constB122))),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24050, 17170, 24047])).
% 39.32/25.75 tff(24052,plain,
% 39.32/25.75 (~v150(constB122)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24051, 24035])).
% 39.32/25.75 tff(24053,plain,
% 39.32/25.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB122, constB123)) | v150(constB122) | (~v152(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB122, constB123)) | v150(constB122) | (~v152(constB123)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24054,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB122, constB123)) | v150(constB122) | (~v152(constB123)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24055,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB122, constB123)) | v150(constB122) | (~v152(constB123))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24054, 24053])).
% 39.32/25.75 tff(24056,plain,
% 39.32/25.75 (v150(constB122) | (~v152(constB123))),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24055, 17185, 14336])).
% 39.32/25.75 tff(24057,plain,
% 39.32/25.75 (~v152(constB123)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24056, 24052])).
% 39.32/25.75 tff(24058,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB123) | (~v164(constB123)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB123) | (~v164(constB123)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24059,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB123) | (~v164(constB123)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24060,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB123) | (~v164(constB123))),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24059, 24058])).
% 39.32/25.75 tff(24061,plain,
% 39.32/25.75 (~v164(constB123)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24060, 17247, 24057])).
% 39.32/25.75 tff(24062,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB123)) | v163(constB123) | v164(constB123))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB123)) | v163(constB123) | v164(constB123))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24063,plain,
% 39.32/25.75 ((v164(constB123) | v163(constB123) | (~v160(constB123))) <=> ((~v160(constB123)) | v163(constB123) | v164(constB123))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24064,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB123) | v163(constB123) | (~v160(constB123)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB123)) | v163(constB123) | v164(constB123)))),
% 39.32/25.75 inference(monotonicity,[status(thm)],[24063])).
% 39.32/25.75 tff(24065,plain,
% 39.32/25.75 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB123) | v163(constB123) | (~v160(constB123)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB123)) | v163(constB123) | v164(constB123))),
% 39.32/25.75 inference(transitivity,[status(thm)],[24064, 24062])).
% 39.32/25.75 tff(24066,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB123) | v163(constB123) | (~v160(constB123)))),
% 39.32/25.75 inference(quant_inst,[status(thm)],[])).
% 39.32/25.75 tff(24067,plain,
% 39.32/25.75 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB123)) | v163(constB123) | v164(constB123)),
% 39.32/25.75 inference(modus_ponens,[status(thm)],[24066, 24065])).
% 39.32/25.75 tff(24068,plain,
% 39.32/25.75 ((~v160(constB123)) | v163(constB123)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24067, 17312, 24061])).
% 39.32/25.75 tff(24069,plain,
% 39.32/25.75 (~v160(constB123)),
% 39.32/25.75 inference(unit_resolution,[status(thm)],[24068, 23896])).
% 39.32/25.75 tff(24070,plain,
% 39.32/25.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB123, constB124)) | v160(constB123) | (~v162(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB123, constB124)) | v160(constB123) | (~v162(constB124)))),
% 39.32/25.75 inference(rewrite,[status(thm)],[])).
% 39.32/25.75 tff(24071,plain,
% 39.32/25.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB123, constB124)) | v160(constB123) | (~v162(constB124)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24072,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB123, constB124)) | v160(constB123) | (~v162(constB124))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 39.32/25.76 tff(24073,plain,
% 39.32/25.76 (v160(constB123) | (~v162(constB124))),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24072, 17330, 14457])).
% 39.32/25.76 tff(24074,plain,
% 39.32/25.76 (~v162(constB124)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24073, 24069])).
% 39.32/25.76 tff(24075,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB124) | (~v163(constB124)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB124) | (~v163(constB124)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24076,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB124) | (~v163(constB124)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24077,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB124) | (~v163(constB124))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24076, 24075])).
% 39.32/25.76 tff(24078,plain,
% 39.32/25.76 (~v163(constB124)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24077, 17342, 24074])).
% 39.32/25.76 tff(24079,plain,
% 39.32/25.76 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB124)) | (~v141(constB124)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB124)) | (~v141(constB124)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24080,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB124)) | (~v141(constB124)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24081,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB124)) | (~v141(constB124))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24080, 24079])).
% 39.32/25.76 tff(24082,plain,
% 39.32/25.76 (~v141(constB124)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24081, 17066, 14477])).
% 39.32/25.76 tff(24083,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB124) | (~v155(constB124)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB124) | (~v155(constB124)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24084,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB124) | (~v155(constB124)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24085,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB124) | (~v155(constB124))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24084, 24083])).
% 39.32/25.76 tff(24086,plain,
% 39.32/25.76 (~v155(constB124)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24085, 17212, 24082])).
% 39.32/25.76 tff(24087,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB124) | (~v164(constB124)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB124) | (~v164(constB124)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24088,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB124) | (~v164(constB124)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24089,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB124) | (~v164(constB124))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24088, 24087])).
% 39.32/25.76 tff(24090,plain,
% 39.32/25.76 (~v164(constB124)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24089, 17361, 24086])).
% 39.32/25.76 tff(24091,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB124)) | v164(constB124) | v163(constB124))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB124)) | v164(constB124) | v163(constB124))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24092,plain,
% 39.32/25.76 ((v164(constB124) | v163(constB124) | (~v160(constB124))) <=> ((~v160(constB124)) | v164(constB124) | v163(constB124))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24093,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB124) | v163(constB124) | (~v160(constB124)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB124)) | v164(constB124) | v163(constB124)))),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24092])).
% 39.32/25.76 tff(24094,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB124) | v163(constB124) | (~v160(constB124)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB124)) | v164(constB124) | v163(constB124))),
% 39.32/25.76 inference(transitivity,[status(thm)],[24093, 24091])).
% 39.32/25.76 tff(24095,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB124) | v163(constB124) | (~v160(constB124)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24096,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB124)) | v164(constB124) | v163(constB124)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 39.32/25.76 tff(24097,plain,
% 39.32/25.76 ((~v160(constB124)) | v163(constB124)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24096, 17312, 24090])).
% 39.32/25.76 tff(24098,plain,
% 39.32/25.76 (~v160(constB124)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24097, 24078])).
% 39.32/25.76 tff(24099,plain,
% 39.32/25.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB124, constB125)) | v160(constB124) | (~v162(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB124, constB125)) | v160(constB124) | (~v162(constB125)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24100,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB124, constB125)) | v160(constB124) | (~v162(constB125)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24101,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB124, constB125)) | v160(constB124) | (~v162(constB125))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24100, 24099])).
% 39.32/25.76 tff(24102,plain,
% 39.32/25.76 (v160(constB124) | (~v162(constB125))),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24101, 17330, 14519])).
% 39.32/25.76 tff(24103,plain,
% 39.32/25.76 (~v162(constB125)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24102, 24098])).
% 39.32/25.76 tff(24104,assumption,(constB125 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.76 tff(24105,plain,
% 39.32/25.76 (v162(constB125) <=> v162(sK0_VarCurr)),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24104])).
% 39.32/25.76 tff(24106,plain,
% 39.32/25.76 (v162(sK0_VarCurr) <=> v162(constB125)),
% 39.32/25.76 inference(symmetry,[status(thm)],[24105])).
% 39.32/25.76 tff(24107,plain,
% 39.32/25.76 (v162(constB125)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[17398, 24106])).
% 39.32/25.76 tff(24108,assumption,(~v162(constB125)), introduced(assumption)).
% 39.32/25.76 tff(24109,plain,
% 39.32/25.76 ($false),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24108, 24107])).
% 39.32/25.76 tff(24110,plain,((~(constB125 = sK0_VarCurr)) | v162(constB125)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.76 tff(24111,plain,
% 39.32/25.76 (~(constB125 = sK0_VarCurr)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24110, 24103])).
% 39.32/25.76 tff(24112,assumption,(constB82 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.76 tff(24113,plain,
% 39.32/25.76 (v1(constB82) <=> v1(sK0_VarCurr)),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24112])).
% 39.32/25.76 tff(24114,plain,
% 39.32/25.76 (v1(sK0_VarCurr) <=> v1(constB82)),
% 39.32/25.76 inference(symmetry,[status(thm)],[24113])).
% 39.32/25.76 tff(24115,plain,
% 39.32/25.76 ((~v1(sK0_VarCurr)) <=> (~v1(constB82))),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24114])).
% 39.32/25.76 tff(24116,plain,
% 39.32/25.76 (~v1(constB82)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[23858, 24115])).
% 39.32/25.76 tff(24117,plain,
% 39.32/25.76 ($false),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[9861, 24116])).
% 39.32/25.76 tff(24118,plain,(~(constB82 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.76 tff(24119,assumption,(constB180 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.76 tff(24120,plain,
% 39.32/25.76 (v1(constB180) <=> v1(sK0_VarCurr)),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24119])).
% 39.32/25.76 tff(24121,plain,
% 39.32/25.76 (v1(sK0_VarCurr) <=> v1(constB180)),
% 39.32/25.76 inference(symmetry,[status(thm)],[24120])).
% 39.32/25.76 tff(24122,plain,
% 39.32/25.76 ((~v1(sK0_VarCurr)) <=> (~v1(constB180))),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24121])).
% 39.32/25.76 tff(24123,plain,
% 39.32/25.76 (~v1(constB180)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[23858, 24122])).
% 39.32/25.76 tff(24124,plain,
% 39.32/25.76 ($false),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[21372, 24123])).
% 39.32/25.76 tff(24125,plain,(~(constB180 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.76 tff(24126,assumption,(constB62 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.76 tff(24127,plain,
% 39.32/25.76 (v1(constB62) <=> v1(sK0_VarCurr)),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24126])).
% 39.32/25.76 tff(24128,plain,
% 39.32/25.76 (v1(sK0_VarCurr) <=> v1(constB62)),
% 39.32/25.76 inference(symmetry,[status(thm)],[24127])).
% 39.32/25.76 tff(24129,plain,
% 39.32/25.76 ((~v1(sK0_VarCurr)) <=> (~v1(constB62))),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24128])).
% 39.32/25.76 tff(24130,plain,
% 39.32/25.76 (~v1(constB62)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[23858, 24129])).
% 39.32/25.76 tff(24131,plain,
% 39.32/25.76 ($false),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[7646, 24130])).
% 39.32/25.76 tff(24132,plain,(~(constB62 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.76 tff(24133,assumption,(constB174 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.76 tff(24134,plain,
% 39.32/25.76 (v1(constB174) <=> v1(sK0_VarCurr)),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24133])).
% 39.32/25.76 tff(24135,plain,
% 39.32/25.76 (v1(sK0_VarCurr) <=> v1(constB174)),
% 39.32/25.76 inference(symmetry,[status(thm)],[24134])).
% 39.32/25.76 tff(24136,plain,
% 39.32/25.76 ((~v1(sK0_VarCurr)) <=> (~v1(constB174))),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24135])).
% 39.32/25.76 tff(24137,plain,
% 39.32/25.76 (~v1(constB174)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[23858, 24136])).
% 39.32/25.76 tff(24138,plain,
% 39.32/25.76 ($false),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[19835, 24137])).
% 39.32/25.76 tff(24139,plain,(~(constB174 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.76 tff(24140,assumption,(constB111 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.76 tff(24141,plain,
% 39.32/25.76 (v162(constB111) <=> v162(sK0_VarCurr)),
% 39.32/25.76 inference(monotonicity,[status(thm)],[24140])).
% 39.32/25.76 tff(24142,plain,
% 39.32/25.76 (v162(sK0_VarCurr) <=> v162(constB111)),
% 39.32/25.76 inference(symmetry,[status(thm)],[24141])).
% 39.32/25.76 tff(24143,plain,
% 39.32/25.76 (v162(constB111)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[17398, 24142])).
% 39.32/25.76 tff(24144,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB105) | (~v144(constB105)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB105) | (~v144(constB105)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24145,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB105) | (~v144(constB105)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24146,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB105) | (~v144(constB105))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24145, 24144])).
% 39.32/25.76 tff(24147,plain,
% 39.32/25.76 (~v144(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24146, 17003, 12694])).
% 39.32/25.76 tff(24148,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB105) | (~v142(constB105)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24149,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB105) | (~v142(constB105)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24150,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB105) | (~v142(constB105))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 39.32/25.76 tff(24151,plain,
% 39.32/25.76 (~v142(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24150, 17014, 24147])).
% 39.32/25.76 tff(24152,assumption,(v18(constB106)), introduced(assumption)).
% 39.32/25.76 tff(24153,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB106))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24154,plain,
% 39.32/25.76 ($false),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24153, 8, 24152])).
% 39.32/25.76 tff(24155,plain,(~v18(constB106)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.76 tff(24156,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB106) | (~v1(constB106)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB106) | (~v1(constB106)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24157,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB106) | (~v1(constB106)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24158,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB106) | (~v1(constB106))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24157, 24156])).
% 39.32/25.76 tff(24159,plain,
% 39.32/25.76 (v22(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24158, 21, 12656])).
% 39.32/25.76 tff(24160,plain,
% 39.32/25.76 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB106)) | (~v22(constB106)) | v18(constB106))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB106)) | (~v22(constB106)) | v18(constB106))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24161,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB106)) | (~v22(constB106)) | v18(constB106))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24162,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB106)) | (~v22(constB106)) | v18(constB106)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24161, 24160])).
% 39.32/25.76 tff(24163,plain,
% 39.32/25.76 ((~v19(constB106)) | v18(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24162, 35, 24159])).
% 39.32/25.76 tff(24164,plain,
% 39.32/25.76 (~v19(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24163, 24155])).
% 39.32/25.76 tff(24165,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB106) | v19(constB106))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB106) | v19(constB106))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24166,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB106) | v19(constB106))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24167,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB106) | v19(constB106)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24166, 24165])).
% 39.32/25.76 tff(24168,plain,
% 39.32/25.76 (v13(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24167, 50, 24164])).
% 39.32/25.76 tff(24169,plain,
% 39.32/25.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24170,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24171,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24170, 24169])).
% 39.32/25.76 tff(24172,plain,
% 39.32/25.76 ((~v13(constB106)) | v9(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24171, 67, 12636])).
% 39.32/25.76 tff(24173,plain,
% 39.32/25.76 (v9(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24172, 24168])).
% 39.32/25.76 tff(24174,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB105) | (~v9(constB105)) | v141(constB105))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB105) | (~v9(constB105)) | v141(constB105))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24175,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB105) | (~v9(constB105)) | v141(constB105))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24176,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB105) | (~v9(constB105)) | v141(constB105)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24175, 24174])).
% 39.32/25.76 tff(24177,plain,
% 39.32/25.76 ((~v9(constB105)) | v141(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24176, 85, 12520])).
% 39.32/25.76 tff(24178,plain,
% 39.32/25.76 (v141(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24177, 24173])).
% 39.32/25.76 tff(24179,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB105) | (~v141(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB105) | (~v141(constB105)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24180,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB105) | (~v141(constB105)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24181,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB105) | (~v141(constB105))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24180, 24179])).
% 39.32/25.76 tff(24182,plain,
% 39.32/25.76 (v140(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24181, 97, 24178])).
% 39.32/25.76 tff(24183,plain,
% 39.32/25.76 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB105)) | (~v138(constB105)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB105)) | (~v138(constB105)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24184,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB105)) | (~v138(constB105)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24185,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB105)) | (~v138(constB105))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24184, 24183])).
% 39.32/25.76 tff(24186,plain,
% 39.32/25.76 (~v138(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24185, 108, 24182])).
% 39.32/25.76 tff(24187,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB105) | v142(constB105) | (~v135(constB105)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB105) | v142(constB105) | (~v135(constB105)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24188,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB105) | v142(constB105) | (~v135(constB105)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24189,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB105) | v142(constB105) | (~v135(constB105))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24188, 24187])).
% 39.32/25.76 tff(24190,plain,
% 39.32/25.76 (v142(constB105) | (~v135(constB105))),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24189, 17028, 24186])).
% 39.32/25.76 tff(24191,plain,
% 39.32/25.76 (~v135(constB105)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24190, 24151])).
% 39.32/25.76 tff(24192,plain,
% 39.32/25.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24193,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24194,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24193, 24192])).
% 39.32/25.76 tff(24195,plain,
% 39.32/25.76 (v135(constB105) | (~v137(constB106))),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24194, 17043, 12636])).
% 39.32/25.76 tff(24196,plain,
% 39.32/25.76 (~v137(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24195, 24191])).
% 39.32/25.76 tff(24197,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB106) | (~v138(constB106)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB106) | (~v138(constB106)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24198,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB106) | (~v138(constB106)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24199,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB106) | (~v138(constB106))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24198, 24197])).
% 39.32/25.76 tff(24200,plain,
% 39.32/25.76 (~v138(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24199, 17055, 24196])).
% 39.32/25.76 tff(24201,plain,
% 39.32/25.76 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB106)) | (~v141(constB106)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB106)) | (~v141(constB106)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24202,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB106)) | (~v141(constB106)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24203,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB106)) | (~v141(constB106))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24202, 24201])).
% 39.32/25.76 tff(24204,plain,
% 39.32/25.76 (~v141(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24203, 17066, 12656])).
% 39.32/25.76 tff(24205,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB106) | (~v144(constB106)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB106) | (~v144(constB106)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24206,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB106) | (~v144(constB106)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24207,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB106) | (~v144(constB106))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24206, 24205])).
% 39.32/25.76 tff(24208,plain,
% 39.32/25.76 (~v144(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24207, 17077, 24204])).
% 39.32/25.76 tff(24209,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB106) | (~v142(constB106)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB106) | (~v142(constB106)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24210,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB106) | (~v142(constB106)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24211,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB106) | (~v142(constB106))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24210, 24209])).
% 39.32/25.76 tff(24212,plain,
% 39.32/25.76 (~v142(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24211, 17014, 24208])).
% 39.32/25.76 tff(24213,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB106) | v142(constB106) | (~v135(constB106)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB106) | v142(constB106) | (~v135(constB106)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24214,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB106) | v142(constB106) | (~v135(constB106)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24215,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB106) | v142(constB106) | (~v135(constB106))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24214, 24213])).
% 39.32/25.76 tff(24216,plain,
% 39.32/25.76 (v138(constB106) | (~v135(constB106))),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24215, 17028, 24212])).
% 39.32/25.76 tff(24217,plain,
% 39.32/25.76 (~v135(constB106)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24216, 24200])).
% 39.32/25.76 tff(24218,plain,
% 39.32/25.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24219,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24220,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24219, 24218])).
% 39.32/25.76 tff(24221,plain,
% 39.32/25.76 (v135(constB106) | (~v137(constB107))),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24220, 17043, 12728])).
% 39.32/25.76 tff(24222,plain,
% 39.32/25.76 (~v137(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24221, 24217])).
% 39.32/25.76 tff(24223,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB107) | (~v154(constB107)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB107) | (~v154(constB107)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24224,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB107) | (~v154(constB107)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24225,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB107) | (~v154(constB107))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24224, 24223])).
% 39.32/25.76 tff(24226,plain,
% 39.32/25.76 (~v154(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24225, 17105, 24222])).
% 39.32/25.76 tff(24227,assumption,(v18(constB108)), introduced(assumption)).
% 39.32/25.76 tff(24228,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB108))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24229,plain,
% 39.32/25.76 ($false),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24228, 8, 24227])).
% 39.32/25.76 tff(24230,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.76 tff(24231,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24232,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24233,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24232, 24231])).
% 39.32/25.76 tff(24234,plain,
% 39.32/25.76 (v22(constB108)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24233, 21, 12884])).
% 39.32/25.76 tff(24235,plain,
% 39.32/25.76 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24236,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24237,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24236, 24235])).
% 39.32/25.76 tff(24238,plain,
% 39.32/25.76 ((~v19(constB108)) | v18(constB108)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24237, 35, 24234])).
% 39.32/25.76 tff(24239,plain,
% 39.32/25.76 (~v19(constB108)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24238, 24230])).
% 39.32/25.76 tff(24240,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24241,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24242,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24241, 24240])).
% 39.32/25.76 tff(24243,plain,
% 39.32/25.76 (v13(constB108)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24242, 50, 24239])).
% 39.32/25.76 tff(24244,plain,
% 39.32/25.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24245,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24246,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24245, 24244])).
% 39.32/25.76 tff(24247,plain,
% 39.32/25.76 ((~v13(constB108)) | v9(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24246, 67, 12864])).
% 39.32/25.76 tff(24248,plain,
% 39.32/25.76 (v9(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24247, 24243])).
% 39.32/25.76 tff(24249,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v141(constB107))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB107) | (~v9(constB107)) | v141(constB107))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24250,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v141(constB107))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24251,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB107) | (~v9(constB107)) | v141(constB107)),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24250, 24249])).
% 39.32/25.76 tff(24252,plain,
% 39.32/25.76 ((~v9(constB107)) | v141(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24251, 85, 12725])).
% 39.32/25.76 tff(24253,plain,
% 39.32/25.76 (v141(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24252, 24248])).
% 39.32/25.76 tff(24254,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB107) | (~v141(constB107)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB107) | (~v141(constB107)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24255,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB107) | (~v141(constB107)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24256,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB107) | (~v141(constB107))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24255, 24254])).
% 39.32/25.76 tff(24257,plain,
% 39.32/25.76 (v140(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24256, 97, 24253])).
% 39.32/25.76 tff(24258,plain,
% 39.32/25.76 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB107)) | (~v153(constB107)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB107)) | (~v153(constB107)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24259,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB107)) | (~v153(constB107)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24260,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB107)) | (~v153(constB107))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24259, 24258])).
% 39.32/25.76 tff(24261,plain,
% 39.32/25.76 (~v153(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24260, 17156, 24257])).
% 39.32/25.76 tff(24262,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB107) | v154(constB107) | (~v150(constB107)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB107) | v154(constB107) | (~v150(constB107)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24263,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB107) | v154(constB107) | (~v150(constB107)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24264,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB107) | v154(constB107) | (~v150(constB107))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24263, 24262])).
% 39.32/25.76 tff(24265,plain,
% 39.32/25.76 (v154(constB107) | (~v150(constB107))),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24264, 17170, 24261])).
% 39.32/25.76 tff(24266,plain,
% 39.32/25.76 (~v150(constB107)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24265, 24226])).
% 39.32/25.76 tff(24267,plain,
% 39.32/25.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24268,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24269,plain,
% 39.32/25.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24268, 24267])).
% 39.32/25.76 tff(24270,plain,
% 39.32/25.76 (v150(constB107) | (~v152(constB108))),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24269, 17185, 12864])).
% 39.32/25.76 tff(24271,plain,
% 39.32/25.76 (~v152(constB108)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24270, 24266])).
% 39.32/25.76 tff(24272,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB108) | (~v153(constB108)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB108) | (~v153(constB108)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24273,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB108) | (~v153(constB108)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24274,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB108) | (~v153(constB108))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24273, 24272])).
% 39.32/25.76 tff(24275,plain,
% 39.32/25.76 (~v153(constB108)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24274, 17197, 24271])).
% 39.32/25.76 tff(24276,plain,
% 39.32/25.76 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB108)) | (~v141(constB108)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB108)) | (~v141(constB108)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24277,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB108)) | (~v141(constB108)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24278,plain,
% 39.32/25.76 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB108)) | (~v141(constB108))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24277, 24276])).
% 39.32/25.76 tff(24279,plain,
% 39.32/25.76 (~v141(constB108)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24278, 17066, 12884])).
% 39.32/25.76 tff(24280,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB108) | (~v155(constB108)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB108) | (~v155(constB108)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24281,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB108) | (~v155(constB108)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24282,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB108) | (~v155(constB108))),
% 39.32/25.76 inference(modus_ponens,[status(thm)],[24281, 24280])).
% 39.32/25.76 tff(24283,plain,
% 39.32/25.76 (~v155(constB108)),
% 39.32/25.76 inference(unit_resolution,[status(thm)],[24282, 17212, 24279])).
% 39.32/25.76 tff(24284,plain,
% 39.32/25.76 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB108) | (~v154(constB108)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB108) | (~v154(constB108)))),
% 39.32/25.76 inference(rewrite,[status(thm)],[])).
% 39.32/25.76 tff(24285,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB108) | (~v154(constB108)))),
% 39.32/25.76 inference(quant_inst,[status(thm)],[])).
% 39.32/25.76 tff(24286,plain,
% 39.32/25.76 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB108) | (~v154(constB108))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24285, 24284])).
% 39.32/25.77 tff(24287,plain,
% 39.32/25.77 (~v154(constB108)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24286, 17223, 24283])).
% 39.32/25.77 tff(24288,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB108) | v154(constB108) | (~v150(constB108)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB108) | v154(constB108) | (~v150(constB108)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24289,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB108) | v154(constB108) | (~v150(constB108)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24290,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB108) | v154(constB108) | (~v150(constB108))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24289, 24288])).
% 39.32/25.77 tff(24291,plain,
% 39.32/25.77 (v153(constB108) | (~v150(constB108))),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24290, 17170, 24287])).
% 39.32/25.77 tff(24292,plain,
% 39.32/25.77 (~v150(constB108)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24291, 24275])).
% 39.32/25.77 tff(24293,plain,
% 39.32/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24294,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24295,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 39.32/25.77 tff(24296,plain,
% 39.32/25.77 (v150(constB108) | (~v152(constB109))),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24295, 17185, 12929])).
% 39.32/25.77 tff(24297,plain,
% 39.32/25.77 (~v152(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24296, 24292])).
% 39.32/25.77 tff(24298,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB109) | (~v164(constB109)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB109) | (~v164(constB109)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24299,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB109) | (~v164(constB109)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24300,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB109) | (~v164(constB109))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24299, 24298])).
% 39.32/25.77 tff(24301,plain,
% 39.32/25.77 (~v164(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24300, 17247, 24297])).
% 39.32/25.77 tff(24302,assumption,(v18(constB110)), introduced(assumption)).
% 39.32/25.77 tff(24303,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB110))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24304,plain,
% 39.32/25.77 ($false),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24303, 8, 24302])).
% 39.32/25.77 tff(24305,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.77 tff(24306,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24307,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24308,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24307, 24306])).
% 39.32/25.77 tff(24309,plain,
% 39.32/25.77 (v22(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24308, 21, 13079])).
% 39.32/25.77 tff(24310,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB110)) | (~v22(constB110)) | v18(constB110))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB110)) | (~v22(constB110)) | v18(constB110))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24311,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB110)) | (~v22(constB110)) | v18(constB110))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24312,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB110)) | (~v22(constB110)) | v18(constB110)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24311, 24310])).
% 39.32/25.77 tff(24313,plain,
% 39.32/25.77 ((~v19(constB110)) | v18(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24312, 35, 24309])).
% 39.32/25.77 tff(24314,plain,
% 39.32/25.77 (~v19(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24313, 24305])).
% 39.32/25.77 tff(24315,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24316,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24317,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24316, 24315])).
% 39.32/25.77 tff(24318,plain,
% 39.32/25.77 (v13(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24317, 50, 24314])).
% 39.32/25.77 tff(24319,plain,
% 39.32/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24320,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24321,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB109, constB110)) | (~v13(constB110)) | v9(constB109)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 39.32/25.77 tff(24322,plain,
% 39.32/25.77 ((~v13(constB110)) | v9(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24321, 67, 13059])).
% 39.32/25.77 tff(24323,plain,
% 39.32/25.77 (v9(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24322, 24318])).
% 39.32/25.77 tff(24324,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v141(constB109))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB109) | (~v9(constB109)) | v141(constB109))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24325,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v141(constB109))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24326,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB109) | (~v9(constB109)) | v141(constB109)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24325, 24324])).
% 39.32/25.77 tff(24327,plain,
% 39.32/25.77 ((~v9(constB109)) | v141(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24326, 85, 12926])).
% 39.32/25.77 tff(24328,plain,
% 39.32/25.77 (v141(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24327, 24323])).
% 39.32/25.77 tff(24329,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB109) | (~v141(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB109) | (~v141(constB109)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24330,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB109) | (~v141(constB109)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24331,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB109) | (~v141(constB109))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24330, 24329])).
% 39.32/25.77 tff(24332,plain,
% 39.32/25.77 (v140(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24331, 97, 24328])).
% 39.32/25.77 tff(24333,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB109)) | (~v163(constB109)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB109)) | (~v163(constB109)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24334,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB109)) | (~v163(constB109)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24335,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB109)) | (~v163(constB109))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24334, 24333])).
% 39.32/25.77 tff(24336,plain,
% 39.32/25.77 (~v163(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24335, 17298, 24332])).
% 39.32/25.77 tff(24337,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB109)) | v163(constB109) | v164(constB109))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB109)) | v163(constB109) | v164(constB109))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24338,plain,
% 39.32/25.77 ((v164(constB109) | v163(constB109) | (~v160(constB109))) <=> ((~v160(constB109)) | v163(constB109) | v164(constB109))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24339,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB109) | v163(constB109) | (~v160(constB109)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB109)) | v163(constB109) | v164(constB109)))),
% 39.32/25.77 inference(monotonicity,[status(thm)],[24338])).
% 39.32/25.77 tff(24340,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB109) | v163(constB109) | (~v160(constB109)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB109)) | v163(constB109) | v164(constB109))),
% 39.32/25.77 inference(transitivity,[status(thm)],[24339, 24337])).
% 39.32/25.77 tff(24341,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB109) | v163(constB109) | (~v160(constB109)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24342,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB109)) | v163(constB109) | v164(constB109)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24341, 24340])).
% 39.32/25.77 tff(24343,plain,
% 39.32/25.77 ((~v160(constB109)) | v164(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24342, 17312, 24336])).
% 39.32/25.77 tff(24344,plain,
% 39.32/25.77 (~v160(constB109)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24343, 24301])).
% 39.32/25.77 tff(24345,plain,
% 39.32/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24346,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24347,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 39.32/25.77 tff(24348,plain,
% 39.32/25.77 (v160(constB109) | (~v162(constB110))),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24347, 17330, 13059])).
% 39.32/25.77 tff(24349,plain,
% 39.32/25.77 (~v162(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24348, 24344])).
% 39.32/25.77 tff(24350,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB110) | (~v163(constB110)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB110) | (~v163(constB110)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24351,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB110) | (~v163(constB110)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24352,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB110) | (~v163(constB110))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24351, 24350])).
% 39.32/25.77 tff(24353,plain,
% 39.32/25.77 (~v163(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24352, 17342, 24349])).
% 39.32/25.77 tff(24354,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB110)) | (~v141(constB110)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB110)) | (~v141(constB110)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24355,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB110)) | (~v141(constB110)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24356,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB110)) | (~v141(constB110))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24355, 24354])).
% 39.32/25.77 tff(24357,plain,
% 39.32/25.77 (~v141(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24356, 17066, 13079])).
% 39.32/25.77 tff(24358,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB110) | (~v155(constB110)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB110) | (~v155(constB110)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24359,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB110) | (~v155(constB110)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24360,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB110) | (~v155(constB110))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24359, 24358])).
% 39.32/25.77 tff(24361,plain,
% 39.32/25.77 (~v155(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24360, 17212, 24357])).
% 39.32/25.77 tff(24362,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB110) | (~v164(constB110)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB110) | (~v164(constB110)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24363,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB110) | (~v164(constB110)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24364,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB110) | (~v164(constB110))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24363, 24362])).
% 39.32/25.77 tff(24365,plain,
% 39.32/25.77 (~v164(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24364, 17361, 24361])).
% 39.32/25.77 tff(24366,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB110)) | v164(constB110) | v163(constB110))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB110)) | v164(constB110) | v163(constB110))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24367,plain,
% 39.32/25.77 ((v164(constB110) | v163(constB110) | (~v160(constB110))) <=> ((~v160(constB110)) | v164(constB110) | v163(constB110))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24368,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB110) | v163(constB110) | (~v160(constB110)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB110)) | v164(constB110) | v163(constB110)))),
% 39.32/25.77 inference(monotonicity,[status(thm)],[24367])).
% 39.32/25.77 tff(24369,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB110) | v163(constB110) | (~v160(constB110)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB110)) | v164(constB110) | v163(constB110))),
% 39.32/25.77 inference(transitivity,[status(thm)],[24368, 24366])).
% 39.32/25.77 tff(24370,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB110) | v163(constB110) | (~v160(constB110)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24371,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB110)) | v164(constB110) | v163(constB110)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24370, 24369])).
% 39.32/25.77 tff(24372,plain,
% 39.32/25.77 ((~v160(constB110)) | v163(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24371, 17312, 24365])).
% 39.32/25.77 tff(24373,plain,
% 39.32/25.77 (~v160(constB110)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24372, 24353])).
% 39.32/25.77 tff(24374,plain,
% 39.32/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24375,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24376,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24375, 24374])).
% 39.32/25.77 tff(24377,plain,
% 39.32/25.77 (v160(constB110) | (~v162(constB111))),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24376, 17330, 13128])).
% 39.32/25.77 tff(24378,plain,
% 39.32/25.77 (~v162(constB111)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24377, 24373])).
% 39.32/25.77 tff(24379,plain,
% 39.32/25.77 ($false),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24378, 24143])).
% 39.32/25.77 tff(24380,plain,(~(constB111 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.77 tff(24381,assumption,(constB165 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.77 tff(24382,plain,
% 39.32/25.77 (v162(constB165) <=> v162(sK0_VarCurr)),
% 39.32/25.77 inference(monotonicity,[status(thm)],[24381])).
% 39.32/25.77 tff(24383,plain,
% 39.32/25.77 (v162(sK0_VarCurr) <=> v162(constB165)),
% 39.32/25.77 inference(symmetry,[status(thm)],[24382])).
% 39.32/25.77 tff(24384,plain,
% 39.32/25.77 (v162(constB165)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[17398, 24383])).
% 39.32/25.77 tff(24385,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB159, bitIndex1)) | (~v145(constB159)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB159, bitIndex1)) | (~v145(constB159)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24386,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB159, bitIndex1)) | (~v145(constB159)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24387,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB159, bitIndex1)) | (~v145(constB159))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24386, 24385])).
% 39.32/25.77 tff(24388,plain,
% 39.32/25.77 (~v145(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24387, 1116, 18725])).
% 39.32/25.77 tff(24389,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB159) | (~v144(constB159)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB159) | (~v144(constB159)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24390,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB159) | (~v144(constB159)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24391,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB159) | (~v144(constB159))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 39.32/25.77 tff(24392,plain,
% 39.32/25.77 (~v144(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24391, 17003, 24388])).
% 39.32/25.77 tff(24393,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB159) | (~v142(constB159)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB159) | (~v142(constB159)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24394,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB159) | (~v142(constB159)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24395,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB159) | (~v142(constB159))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24394, 24393])).
% 39.32/25.77 tff(24396,plain,
% 39.32/25.77 (~v142(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24395, 17014, 24392])).
% 39.32/25.77 tff(24397,assumption,(v18(constB160)), introduced(assumption)).
% 39.32/25.77 tff(24398,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB160))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24399,plain,
% 39.32/25.77 ($false),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24398, 8, 24397])).
% 39.32/25.77 tff(24400,plain,(~v18(constB160)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.77 tff(24401,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24402,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24403,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24402, 24401])).
% 39.32/25.77 tff(24404,plain,
% 39.32/25.77 (v22(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24403, 21, 18826])).
% 39.32/25.77 tff(24405,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB160)) | (~v22(constB160)) | v18(constB160))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB160)) | (~v22(constB160)) | v18(constB160))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24406,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB160)) | (~v22(constB160)) | v18(constB160))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24407,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB160)) | (~v22(constB160)) | v18(constB160)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24406, 24405])).
% 39.32/25.77 tff(24408,plain,
% 39.32/25.77 ((~v19(constB160)) | v18(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24407, 35, 24404])).
% 39.32/25.77 tff(24409,plain,
% 39.32/25.77 (~v19(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24408, 24400])).
% 39.32/25.77 tff(24410,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24411,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24412,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24411, 24410])).
% 39.32/25.77 tff(24413,plain,
% 39.32/25.77 (v13(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24412, 50, 24409])).
% 39.32/25.77 tff(24414,plain,
% 39.32/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24415,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24416,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 39.32/25.77 tff(24417,plain,
% 39.32/25.77 ((~v13(constB160)) | v9(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24416, 67, 18806])).
% 39.32/25.77 tff(24418,plain,
% 39.32/25.77 (v9(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24417, 24413])).
% 39.32/25.77 tff(24419,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v141(constB159))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB159) | (~v9(constB159)) | v141(constB159))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24420,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v141(constB159))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24421,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB159) | (~v9(constB159)) | v141(constB159)),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 39.32/25.77 tff(24422,plain,
% 39.32/25.77 ((~v9(constB159)) | v141(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24421, 85, 18670])).
% 39.32/25.77 tff(24423,plain,
% 39.32/25.77 (v141(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24422, 24418])).
% 39.32/25.77 tff(24424,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB159) | (~v141(constB159)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB159) | (~v141(constB159)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24425,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB159) | (~v141(constB159)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24426,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB159) | (~v141(constB159))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24425, 24424])).
% 39.32/25.77 tff(24427,plain,
% 39.32/25.77 (v140(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24426, 97, 24423])).
% 39.32/25.77 tff(24428,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB159)) | (~v140(constB159)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB159)) | (~v140(constB159)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24429,plain,
% 39.32/25.77 (((~v140(constB159)) | (~v138(constB159))) <=> ((~v138(constB159)) | (~v140(constB159)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24430,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB159)) | (~v138(constB159)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB159)) | (~v140(constB159))))),
% 39.32/25.77 inference(monotonicity,[status(thm)],[24429])).
% 39.32/25.77 tff(24431,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB159)) | (~v138(constB159)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB159)) | (~v140(constB159)))),
% 39.32/25.77 inference(transitivity,[status(thm)],[24430, 24428])).
% 39.32/25.77 tff(24432,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB159)) | (~v138(constB159)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24433,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB159)) | (~v140(constB159))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24432, 24431])).
% 39.32/25.77 tff(24434,plain,
% 39.32/25.77 (~v138(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24433, 108, 24427])).
% 39.32/25.77 tff(24435,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB159) | v142(constB159) | (~v135(constB159)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB159) | v142(constB159) | (~v135(constB159)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24436,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB159) | v142(constB159) | (~v135(constB159)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24437,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB159) | v142(constB159) | (~v135(constB159))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24436, 24435])).
% 39.32/25.77 tff(24438,plain,
% 39.32/25.77 (v142(constB159) | (~v135(constB159))),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24437, 17028, 24434])).
% 39.32/25.77 tff(24439,plain,
% 39.32/25.77 (~v135(constB159)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24438, 24396])).
% 39.32/25.77 tff(24440,plain,
% 39.32/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB159, constB160)) | v135(constB159) | (~v137(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB159, constB160)) | v135(constB159) | (~v137(constB160)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24441,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB159, constB160)) | v135(constB159) | (~v137(constB160)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24442,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB159, constB160)) | v135(constB159) | (~v137(constB160))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24441, 24440])).
% 39.32/25.77 tff(24443,plain,
% 39.32/25.77 (v135(constB159) | (~v137(constB160))),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24442, 17043, 18806])).
% 39.32/25.77 tff(24444,plain,
% 39.32/25.77 (~v137(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24443, 24439])).
% 39.32/25.77 tff(24445,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB160) | (~v138(constB160)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB160) | (~v138(constB160)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24446,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB160) | (~v138(constB160)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24447,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB160) | (~v138(constB160))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24446, 24445])).
% 39.32/25.77 tff(24448,plain,
% 39.32/25.77 (~v138(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24447, 17055, 24444])).
% 39.32/25.77 tff(24449,plain,
% 39.32/25.77 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB160)) | (~v141(constB160)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB160)) | (~v141(constB160)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24450,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB160)) | (~v141(constB160)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24451,plain,
% 39.32/25.77 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB160)) | (~v141(constB160))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 39.32/25.77 tff(24452,plain,
% 39.32/25.77 (~v141(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24451, 17066, 18826])).
% 39.32/25.77 tff(24453,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB160) | (~v144(constB160)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB160) | (~v144(constB160)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24454,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB160) | (~v144(constB160)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24455,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB160) | (~v144(constB160))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24454, 24453])).
% 39.32/25.77 tff(24456,plain,
% 39.32/25.77 (~v144(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24455, 17077, 24452])).
% 39.32/25.77 tff(24457,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB160) | (~v142(constB160)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB160) | (~v142(constB160)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24458,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB160) | (~v142(constB160)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24459,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB160) | (~v142(constB160))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24458, 24457])).
% 39.32/25.77 tff(24460,plain,
% 39.32/25.77 (~v142(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24459, 17014, 24456])).
% 39.32/25.77 tff(24461,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB160) | v142(constB160) | (~v135(constB160)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB160) | v142(constB160) | (~v135(constB160)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24462,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB160) | v142(constB160) | (~v135(constB160)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24463,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB160) | v142(constB160) | (~v135(constB160))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24462, 24461])).
% 39.32/25.77 tff(24464,plain,
% 39.32/25.77 (v138(constB160) | (~v135(constB160))),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24463, 17028, 24460])).
% 39.32/25.77 tff(24465,plain,
% 39.32/25.77 (~v135(constB160)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24464, 24448])).
% 39.32/25.77 tff(24466,plain,
% 39.32/25.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB160, constB161)) | v135(constB160) | (~v137(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB160, constB161)) | v135(constB160) | (~v137(constB161)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24467,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB160, constB161)) | v135(constB160) | (~v137(constB161)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24468,plain,
% 39.32/25.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB160, constB161)) | v135(constB160) | (~v137(constB161))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24467, 24466])).
% 39.32/25.77 tff(24469,plain,
% 39.32/25.77 (v135(constB160) | (~v137(constB161))),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24468, 17043, 18875])).
% 39.32/25.77 tff(24470,plain,
% 39.32/25.77 (~v137(constB161)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24469, 24465])).
% 39.32/25.77 tff(24471,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB161) | (~v154(constB161)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB161) | (~v154(constB161)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24472,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB161) | (~v154(constB161)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24473,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB161) | (~v154(constB161))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24472, 24471])).
% 39.32/25.77 tff(24474,plain,
% 39.32/25.77 (~v154(constB161)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24473, 17105, 24470])).
% 39.32/25.77 tff(24475,assumption,(v18(constB162)), introduced(assumption)).
% 39.32/25.77 tff(24476,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB162))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24477,plain,
% 39.32/25.77 ($false),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24476, 8, 24475])).
% 39.32/25.77 tff(24478,plain,(~v18(constB162)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.77 tff(24479,plain,
% 39.32/25.77 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162)))),
% 39.32/25.77 inference(rewrite,[status(thm)],[])).
% 39.32/25.77 tff(24480,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))),
% 39.32/25.77 inference(quant_inst,[status(thm)],[])).
% 39.32/25.77 tff(24481,plain,
% 39.32/25.77 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162))),
% 39.32/25.77 inference(modus_ponens,[status(thm)],[24480, 24479])).
% 39.32/25.77 tff(24482,plain,
% 39.32/25.77 (v22(constB162)),
% 39.32/25.77 inference(unit_resolution,[status(thm)],[24481, 21, 19017])).
% 39.32/25.78 tff(24483,plain,
% 39.32/25.78 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB162)) | (~v22(constB162)) | v18(constB162))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB162)) | (~v22(constB162)) | v18(constB162))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24484,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB162)) | (~v22(constB162)) | v18(constB162))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24485,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB162)) | (~v22(constB162)) | v18(constB162)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24484, 24483])).
% 39.32/25.78 tff(24486,plain,
% 39.32/25.78 ((~v19(constB162)) | v18(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24485, 35, 24482])).
% 39.32/25.78 tff(24487,plain,
% 39.32/25.78 (~v19(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24486, 24478])).
% 39.32/25.78 tff(24488,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24489,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24490,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24489, 24488])).
% 39.32/25.78 tff(24491,plain,
% 39.32/25.78 (v13(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24490, 50, 24487])).
% 39.32/25.78 tff(24492,plain,
% 39.32/25.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24493,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24494,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24493, 24492])).
% 39.32/25.78 tff(24495,plain,
% 39.32/25.78 ((~v13(constB162)) | v9(constB161)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24494, 67, 18997])).
% 39.32/25.78 tff(24496,plain,
% 39.32/25.78 (v9(constB161)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24495, 24491])).
% 39.32/25.78 tff(24497,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v141(constB161))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB161) | (~v9(constB161)) | v141(constB161))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24498,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v141(constB161))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24499,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB161) | (~v9(constB161)) | v141(constB161)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24498, 24497])).
% 39.32/25.78 tff(24500,plain,
% 39.32/25.78 ((~v9(constB161)) | v141(constB161)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24499, 85, 18872])).
% 39.32/25.78 tff(24501,plain,
% 39.32/25.78 (v141(constB161)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24500, 24496])).
% 39.32/25.78 tff(24502,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB161) | (~v141(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB161) | (~v141(constB161)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24503,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB161) | (~v141(constB161)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24504,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB161) | (~v141(constB161))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24503, 24502])).
% 39.32/25.78 tff(24505,plain,
% 39.32/25.78 (v140(constB161)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24504, 97, 24501])).
% 39.32/25.78 tff(24506,plain,
% 39.32/25.78 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB161)) | (~v153(constB161)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB161)) | (~v153(constB161)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24507,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB161)) | (~v153(constB161)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24508,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB161)) | (~v153(constB161))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24507, 24506])).
% 39.32/25.78 tff(24509,plain,
% 39.32/25.78 (~v153(constB161)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24508, 17156, 24505])).
% 39.32/25.78 tff(24510,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB161) | v154(constB161) | (~v150(constB161)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB161) | v154(constB161) | (~v150(constB161)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24511,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB161) | v154(constB161) | (~v150(constB161)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24512,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB161) | v154(constB161) | (~v150(constB161))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24511, 24510])).
% 39.32/25.78 tff(24513,plain,
% 39.32/25.78 (v154(constB161) | (~v150(constB161))),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24512, 17170, 24509])).
% 39.32/25.78 tff(24514,plain,
% 39.32/25.78 (~v150(constB161)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24513, 24474])).
% 39.32/25.78 tff(24515,plain,
% 39.32/25.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB161, constB162)) | v150(constB161) | (~v152(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB161, constB162)) | v150(constB161) | (~v152(constB162)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24516,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB161, constB162)) | v150(constB161) | (~v152(constB162)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24517,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB161, constB162)) | v150(constB161) | (~v152(constB162))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24516, 24515])).
% 39.32/25.78 tff(24518,plain,
% 39.32/25.78 (v150(constB161) | (~v152(constB162))),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24517, 17185, 18997])).
% 39.32/25.78 tff(24519,plain,
% 39.32/25.78 (~v152(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24518, 24514])).
% 39.32/25.78 tff(24520,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB162) | (~v153(constB162)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB162) | (~v153(constB162)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24521,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB162) | (~v153(constB162)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24522,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB162) | (~v153(constB162))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24521, 24520])).
% 39.32/25.78 tff(24523,plain,
% 39.32/25.78 (~v153(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24522, 17197, 24519])).
% 39.32/25.78 tff(24524,plain,
% 39.32/25.78 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB162)) | (~v141(constB162)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB162)) | (~v141(constB162)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24525,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB162)) | (~v141(constB162)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24526,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB162)) | (~v141(constB162))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 39.32/25.78 tff(24527,plain,
% 39.32/25.78 (~v141(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24526, 17066, 19017])).
% 39.32/25.78 tff(24528,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB162) | (~v155(constB162)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB162) | (~v155(constB162)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24529,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB162) | (~v155(constB162)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24530,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB162) | (~v155(constB162))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24529, 24528])).
% 39.32/25.78 tff(24531,plain,
% 39.32/25.78 (~v155(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24530, 17212, 24527])).
% 39.32/25.78 tff(24532,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB162) | (~v154(constB162)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB162) | (~v154(constB162)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24533,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB162) | (~v154(constB162)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24534,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB162) | (~v154(constB162))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24533, 24532])).
% 39.32/25.78 tff(24535,plain,
% 39.32/25.78 (~v154(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24534, 17223, 24531])).
% 39.32/25.78 tff(24536,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB162) | v154(constB162) | (~v150(constB162)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB162) | v154(constB162) | (~v150(constB162)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24537,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB162) | v154(constB162) | (~v150(constB162)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24538,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB162) | v154(constB162) | (~v150(constB162))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24537, 24536])).
% 39.32/25.78 tff(24539,plain,
% 39.32/25.78 (v153(constB162) | (~v150(constB162))),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24538, 17170, 24535])).
% 39.32/25.78 tff(24540,plain,
% 39.32/25.78 (~v150(constB162)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24539, 24523])).
% 39.32/25.78 tff(24541,plain,
% 39.32/25.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB162, constB163)) | v150(constB162) | (~v152(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB162, constB163)) | v150(constB162) | (~v152(constB163)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24542,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB162, constB163)) | v150(constB162) | (~v152(constB163)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24543,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB162, constB163)) | v150(constB162) | (~v152(constB163))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24542, 24541])).
% 39.32/25.78 tff(24544,plain,
% 39.32/25.78 (v150(constB162) | (~v152(constB163))),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24543, 17185, 19059])).
% 39.32/25.78 tff(24545,plain,
% 39.32/25.78 (~v152(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24544, 24540])).
% 39.32/25.78 tff(24546,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB163) | (~v164(constB163)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB163) | (~v164(constB163)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24547,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB163) | (~v164(constB163)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24548,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB163) | (~v164(constB163))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24547, 24546])).
% 39.32/25.78 tff(24549,plain,
% 39.32/25.78 (~v164(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24548, 17247, 24545])).
% 39.32/25.78 tff(24550,assumption,(v18(constB164)), introduced(assumption)).
% 39.32/25.78 tff(24551,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB164))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24552,plain,
% 39.32/25.78 ($false),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24551, 8, 24550])).
% 39.32/25.78 tff(24553,plain,(~v18(constB164)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.78 tff(24554,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24555,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24556,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24555, 24554])).
% 39.32/25.78 tff(24557,plain,
% 39.32/25.78 (v22(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24556, 21, 19201])).
% 39.32/25.78 tff(24558,plain,
% 39.32/25.78 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB164)) | (~v22(constB164)) | v18(constB164))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB164)) | (~v22(constB164)) | v18(constB164))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24559,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB164)) | (~v22(constB164)) | v18(constB164))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24560,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB164)) | (~v22(constB164)) | v18(constB164)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24559, 24558])).
% 39.32/25.78 tff(24561,plain,
% 39.32/25.78 ((~v19(constB164)) | v18(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24560, 35, 24557])).
% 39.32/25.78 tff(24562,plain,
% 39.32/25.78 (~v19(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24561, 24553])).
% 39.32/25.78 tff(24563,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24564,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24565,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 39.32/25.78 tff(24566,plain,
% 39.32/25.78 (v13(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24565, 50, 24562])).
% 39.32/25.78 tff(24567,plain,
% 39.32/25.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24568,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24569,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24568, 24567])).
% 39.32/25.78 tff(24570,plain,
% 39.32/25.78 ((~v13(constB164)) | v9(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24569, 67, 19181])).
% 39.32/25.78 tff(24571,plain,
% 39.32/25.78 (v9(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24570, 24566])).
% 39.32/25.78 tff(24572,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v141(constB163))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB163) | (~v9(constB163)) | v141(constB163))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24573,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v141(constB163))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24574,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB163) | (~v9(constB163)) | v141(constB163)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24573, 24572])).
% 39.32/25.78 tff(24575,plain,
% 39.32/25.78 ((~v9(constB163)) | v141(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24574, 85, 19056])).
% 39.32/25.78 tff(24576,plain,
% 39.32/25.78 (v141(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24575, 24571])).
% 39.32/25.78 tff(24577,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB163) | (~v141(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB163) | (~v141(constB163)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24578,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB163) | (~v141(constB163)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24579,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB163) | (~v141(constB163))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24578, 24577])).
% 39.32/25.78 tff(24580,plain,
% 39.32/25.78 (v140(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24579, 97, 24576])).
% 39.32/25.78 tff(24581,plain,
% 39.32/25.78 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB163)) | (~v163(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB163)) | (~v163(constB163)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24582,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB163)) | (~v163(constB163)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24583,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB163)) | (~v163(constB163))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24582, 24581])).
% 39.32/25.78 tff(24584,plain,
% 39.32/25.78 (~v163(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24583, 17298, 24580])).
% 39.32/25.78 tff(24585,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB163)) | v164(constB163) | v163(constB163))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB163)) | v164(constB163) | v163(constB163))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24586,plain,
% 39.32/25.78 ((v164(constB163) | v163(constB163) | (~v160(constB163))) <=> ((~v160(constB163)) | v164(constB163) | v163(constB163))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24587,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB163) | v163(constB163) | (~v160(constB163)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB163)) | v164(constB163) | v163(constB163)))),
% 39.32/25.78 inference(monotonicity,[status(thm)],[24586])).
% 39.32/25.78 tff(24588,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB163) | v163(constB163) | (~v160(constB163)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB163)) | v164(constB163) | v163(constB163))),
% 39.32/25.78 inference(transitivity,[status(thm)],[24587, 24585])).
% 39.32/25.78 tff(24589,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB163) | v163(constB163) | (~v160(constB163)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24590,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB163)) | v164(constB163) | v163(constB163)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24589, 24588])).
% 39.32/25.78 tff(24591,plain,
% 39.32/25.78 ((~v160(constB163)) | v164(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24590, 17312, 24584])).
% 39.32/25.78 tff(24592,plain,
% 39.32/25.78 (~v160(constB163)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24591, 24549])).
% 39.32/25.78 tff(24593,plain,
% 39.32/25.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB163, constB164)) | v160(constB163) | (~v162(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB163, constB164)) | v160(constB163) | (~v162(constB164)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24594,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB163, constB164)) | v160(constB163) | (~v162(constB164)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24595,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB163, constB164)) | v160(constB163) | (~v162(constB164))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24594, 24593])).
% 39.32/25.78 tff(24596,plain,
% 39.32/25.78 (v160(constB163) | (~v162(constB164))),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24595, 17330, 19181])).
% 39.32/25.78 tff(24597,plain,
% 39.32/25.78 (~v162(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24596, 24592])).
% 39.32/25.78 tff(24598,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB164) | (~v163(constB164)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB164) | (~v163(constB164)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24599,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB164) | (~v163(constB164)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24600,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB164) | (~v163(constB164))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24599, 24598])).
% 39.32/25.78 tff(24601,plain,
% 39.32/25.78 (~v163(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24600, 17342, 24597])).
% 39.32/25.78 tff(24602,plain,
% 39.32/25.78 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB164)) | (~v141(constB164)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB164)) | (~v141(constB164)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24603,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB164)) | (~v141(constB164)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24604,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB164)) | (~v141(constB164))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24603, 24602])).
% 39.32/25.78 tff(24605,plain,
% 39.32/25.78 (~v141(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24604, 17066, 19201])).
% 39.32/25.78 tff(24606,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB164) | (~v155(constB164)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB164) | (~v155(constB164)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24607,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB164) | (~v155(constB164)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24608,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB164) | (~v155(constB164))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24607, 24606])).
% 39.32/25.78 tff(24609,plain,
% 39.32/25.78 (~v155(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24608, 17212, 24605])).
% 39.32/25.78 tff(24610,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB164) | (~v164(constB164)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB164) | (~v164(constB164)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24611,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB164) | (~v164(constB164)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24612,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB164) | (~v164(constB164))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24611, 24610])).
% 39.32/25.78 tff(24613,plain,
% 39.32/25.78 (~v164(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24612, 17361, 24609])).
% 39.32/25.78 tff(24614,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB164)) | v164(constB164) | v163(constB164))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB164)) | v164(constB164) | v163(constB164))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24615,plain,
% 39.32/25.78 ((v164(constB164) | v163(constB164) | (~v160(constB164))) <=> ((~v160(constB164)) | v164(constB164) | v163(constB164))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24616,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB164) | v163(constB164) | (~v160(constB164)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB164)) | v164(constB164) | v163(constB164)))),
% 39.32/25.78 inference(monotonicity,[status(thm)],[24615])).
% 39.32/25.78 tff(24617,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB164) | v163(constB164) | (~v160(constB164)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB164)) | v164(constB164) | v163(constB164))),
% 39.32/25.78 inference(transitivity,[status(thm)],[24616, 24614])).
% 39.32/25.78 tff(24618,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB164) | v163(constB164) | (~v160(constB164)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24619,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB164)) | v164(constB164) | v163(constB164)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 39.32/25.78 tff(24620,plain,
% 39.32/25.78 ((~v160(constB164)) | v163(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24619, 17312, 24613])).
% 39.32/25.78 tff(24621,plain,
% 39.32/25.78 (~v160(constB164)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24620, 24601])).
% 39.32/25.78 tff(24622,plain,
% 39.32/25.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB164, constB165)) | v160(constB164) | (~v162(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB164, constB165)) | v160(constB164) | (~v162(constB165)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24623,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB164, constB165)) | v160(constB164) | (~v162(constB165)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24624,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB164, constB165)) | v160(constB164) | (~v162(constB165))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24623, 24622])).
% 39.32/25.78 tff(24625,plain,
% 39.32/25.78 (v160(constB164) | (~v162(constB165))),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24624, 17330, 19243])).
% 39.32/25.78 tff(24626,plain,
% 39.32/25.78 (~v162(constB165)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24625, 24621])).
% 39.32/25.78 tff(24627,plain,
% 39.32/25.78 ($false),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24626, 24384])).
% 39.32/25.78 tff(24628,plain,(~(constB165 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.78 tff(24629,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 39.32/25.78 tff(24630,plain,
% 39.32/25.78 (v162(constB195) <=> v162(sK0_VarCurr)),
% 39.32/25.78 inference(monotonicity,[status(thm)],[24629])).
% 39.32/25.78 tff(24631,plain,
% 39.32/25.78 (v162(sK0_VarCurr) <=> v162(constB195)),
% 39.32/25.78 inference(symmetry,[status(thm)],[24630])).
% 39.32/25.78 tff(24632,plain,
% 39.32/25.78 (v162(constB195)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[17398, 24631])).
% 39.32/25.78 tff(24633,plain,
% 39.32/25.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB189, bitIndex1)) | (~v145(constB189)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB189, bitIndex1)) | (~v145(constB189)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24634,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB189, bitIndex1)) | (~v145(constB189)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24635,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB189, bitIndex1)) | (~v145(constB189))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24634, 24633])).
% 39.32/25.78 tff(24636,plain,
% 39.32/25.78 (~v145(constB189)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24635, 1116, 22284])).
% 39.32/25.78 tff(24637,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB189) | (~v144(constB189)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB189) | (~v144(constB189)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24638,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB189) | (~v144(constB189)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24639,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB189) | (~v144(constB189))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24638, 24637])).
% 39.32/25.78 tff(24640,plain,
% 39.32/25.78 (~v144(constB189)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24639, 17003, 24636])).
% 39.32/25.78 tff(24641,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB189) | (~v142(constB189)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB189) | (~v142(constB189)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24642,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB189) | (~v142(constB189)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24643,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB189) | (~v142(constB189))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24642, 24641])).
% 39.32/25.78 tff(24644,plain,
% 39.32/25.78 (~v142(constB189)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24643, 17014, 24640])).
% 39.32/25.78 tff(24645,assumption,(v18(constB190)), introduced(assumption)).
% 39.32/25.78 tff(24646,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB190))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24647,plain,
% 39.32/25.78 ($false),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24646, 8, 24645])).
% 39.32/25.78 tff(24648,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.78 tff(24649,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24650,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24651,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24650, 24649])).
% 39.32/25.78 tff(24652,plain,
% 39.32/25.78 (v22(constB190)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24651, 21, 22400])).
% 39.32/25.78 tff(24653,plain,
% 39.32/25.78 (((~![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))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24654,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24655,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24654, 24653])).
% 39.32/25.78 tff(24656,plain,
% 39.32/25.78 ((~v19(constB190)) | v18(constB190)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24655, 35, 24652])).
% 39.32/25.78 tff(24657,plain,
% 39.32/25.78 (~v19(constB190)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24656, 24648])).
% 39.32/25.78 tff(24658,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24659,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24660,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24659, 24658])).
% 39.32/25.78 tff(24661,plain,
% 39.32/25.78 (v13(constB190)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24660, 50, 24657])).
% 39.32/25.78 tff(24662,plain,
% 39.32/25.78 (((~![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))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24663,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24664,plain,
% 39.32/25.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24663, 24662])).
% 39.32/25.78 tff(24665,plain,
% 39.32/25.78 ((~v13(constB190)) | v9(constB189)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24664, 67, 22334])).
% 39.32/25.78 tff(24666,plain,
% 39.32/25.78 (v9(constB189)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24665, 24661])).
% 39.32/25.78 tff(24667,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v141(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB189) | (~v9(constB189)) | v141(constB189))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24668,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v141(constB189))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24669,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB189) | (~v9(constB189)) | v141(constB189)),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24668, 24667])).
% 39.32/25.78 tff(24670,plain,
% 39.32/25.78 ((~v9(constB189)) | v141(constB189)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24669, 85, 22229])).
% 39.32/25.78 tff(24671,plain,
% 39.32/25.78 (v141(constB189)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24670, 24666])).
% 39.32/25.78 tff(24672,plain,
% 39.32/25.78 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB189) | (~v141(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB189) | (~v141(constB189)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24673,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB189) | (~v141(constB189)))),
% 39.32/25.78 inference(quant_inst,[status(thm)],[])).
% 39.32/25.78 tff(24674,plain,
% 39.32/25.78 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB189) | (~v141(constB189))),
% 39.32/25.78 inference(modus_ponens,[status(thm)],[24673, 24672])).
% 39.32/25.78 tff(24675,plain,
% 39.32/25.78 (v140(constB189)),
% 39.32/25.78 inference(unit_resolution,[status(thm)],[24674, 97, 24671])).
% 39.32/25.78 tff(24676,plain,
% 39.32/25.78 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB189)) | (~v138(constB189)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB189)) | (~v138(constB189)))),
% 39.32/25.78 inference(rewrite,[status(thm)],[])).
% 39.32/25.78 tff(24677,plain,
% 39.32/25.78 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB189)) | (~v138(constB189)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24678,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB189)) | (~v138(constB189))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24677, 24676])).
% 39.32/25.79 tff(24679,plain,
% 39.32/25.79 (~v138(constB189)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24678, 108, 24675])).
% 39.32/25.79 tff(24680,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB189) | v142(constB189) | (~v135(constB189)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB189) | v142(constB189) | (~v135(constB189)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24681,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB189) | v142(constB189) | (~v135(constB189)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24682,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB189) | v142(constB189) | (~v135(constB189))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24681, 24680])).
% 39.32/25.79 tff(24683,plain,
% 39.32/25.79 (v142(constB189) | (~v135(constB189))),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24682, 17028, 24679])).
% 39.32/25.79 tff(24684,plain,
% 39.32/25.79 (~v135(constB189)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24683, 24644])).
% 39.32/25.79 tff(24685,plain,
% 39.32/25.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB189, constB190)) | v135(constB189) | (~v137(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB189, constB190)) | v135(constB189) | (~v137(constB190)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24686,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB189, constB190)) | v135(constB189) | (~v137(constB190)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24687,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB189, constB190)) | v135(constB189) | (~v137(constB190))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24686, 24685])).
% 39.32/25.79 tff(24688,plain,
% 39.32/25.79 (v135(constB189) | (~v137(constB190))),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24687, 17043, 22334])).
% 39.32/25.79 tff(24689,plain,
% 39.32/25.79 (~v137(constB190)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24688, 24684])).
% 39.32/25.79 tff(24690,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB190) | (~v138(constB190)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB190) | (~v138(constB190)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24691,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB190) | (~v138(constB190)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24692,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB190) | (~v138(constB190))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24691, 24690])).
% 39.32/25.79 tff(24693,plain,
% 39.32/25.79 (~v138(constB190)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24692, 17055, 24689])).
% 39.32/25.79 tff(24694,plain,
% 39.32/25.79 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB190)) | (~v141(constB190)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB190)) | (~v141(constB190)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24695,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB190)) | (~v141(constB190)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24696,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB190)) | (~v141(constB190))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24695, 24694])).
% 39.32/25.79 tff(24697,plain,
% 39.32/25.79 (~v141(constB190)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24696, 17066, 22400])).
% 39.32/25.79 tff(24698,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB190) | (~v144(constB190)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB190) | (~v144(constB190)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24699,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB190) | (~v144(constB190)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24700,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB190) | (~v144(constB190))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 39.32/25.79 tff(24701,plain,
% 39.32/25.79 (~v144(constB190)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24700, 17077, 24697])).
% 39.32/25.79 tff(24702,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB190) | (~v142(constB190)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB190) | (~v142(constB190)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24703,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB190) | (~v142(constB190)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24704,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB190) | (~v142(constB190))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24703, 24702])).
% 39.32/25.79 tff(24705,plain,
% 39.32/25.79 (~v142(constB190)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24704, 17014, 24701])).
% 39.32/25.79 tff(24706,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB190) | v142(constB190) | (~v135(constB190)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB190) | v142(constB190) | (~v135(constB190)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24707,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB190) | v142(constB190) | (~v135(constB190)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24708,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB190) | v142(constB190) | (~v135(constB190))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24707, 24706])).
% 39.32/25.79 tff(24709,plain,
% 39.32/25.79 (v138(constB190) | (~v135(constB190))),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24708, 17028, 24705])).
% 39.32/25.79 tff(24710,plain,
% 39.32/25.79 (~v135(constB190)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24709, 24693])).
% 39.32/25.79 tff(24711,plain,
% 39.32/25.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB190, constB191)) | v135(constB190) | (~v137(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB190, constB191)) | v135(constB190) | (~v137(constB191)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24712,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB190, constB191)) | v135(constB190) | (~v137(constB191)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24713,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB190, constB191)) | v135(constB190) | (~v137(constB191))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24712, 24711])).
% 39.32/25.79 tff(24714,plain,
% 39.32/25.79 (v135(constB190) | (~v137(constB191))),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24713, 17043, 22450])).
% 39.32/25.79 tff(24715,plain,
% 39.32/25.79 (~v137(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24714, 24710])).
% 39.32/25.79 tff(24716,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB191) | (~v154(constB191)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB191) | (~v154(constB191)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24717,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB191) | (~v154(constB191)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24718,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB191) | (~v154(constB191))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24717, 24716])).
% 39.32/25.79 tff(24719,plain,
% 39.32/25.79 (~v154(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24718, 17105, 24715])).
% 39.32/25.79 tff(24720,assumption,(v18(constB192)), introduced(assumption)).
% 39.32/25.79 tff(24721,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB192))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24722,plain,
% 39.32/25.79 ($false),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24721, 8, 24720])).
% 39.32/25.79 tff(24723,plain,(~v18(constB192)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.79 tff(24724,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24725,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24726,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24725, 24724])).
% 39.32/25.79 tff(24727,plain,
% 39.32/25.79 (v22(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24726, 21, 22593])).
% 39.32/25.79 tff(24728,plain,
% 39.32/25.79 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB192)) | (~v22(constB192)) | v18(constB192))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB192)) | (~v22(constB192)) | v18(constB192))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24729,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB192)) | (~v22(constB192)) | v18(constB192))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24730,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB192)) | (~v22(constB192)) | v18(constB192)),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24729, 24728])).
% 39.32/25.79 tff(24731,plain,
% 39.32/25.79 ((~v19(constB192)) | v18(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24730, 35, 24727])).
% 39.32/25.79 tff(24732,plain,
% 39.32/25.79 (~v19(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24731, 24723])).
% 39.32/25.79 tff(24733,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24734,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24735,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192)),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24734, 24733])).
% 39.32/25.79 tff(24736,plain,
% 39.32/25.79 (v13(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24735, 50, 24732])).
% 39.32/25.79 tff(24737,plain,
% 39.32/25.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24738,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24739,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191)),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24738, 24737])).
% 39.32/25.79 tff(24740,plain,
% 39.32/25.79 ((~v13(constB192)) | v9(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24739, 67, 22537])).
% 39.32/25.79 tff(24741,plain,
% 39.32/25.79 (v9(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24740, 24736])).
% 39.32/25.79 tff(24742,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v141(constB191))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB191) | (~v9(constB191)) | v141(constB191))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24743,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v141(constB191))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24744,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB191) | (~v9(constB191)) | v141(constB191)),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24743, 24742])).
% 39.32/25.79 tff(24745,plain,
% 39.32/25.79 ((~v9(constB191)) | v141(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24744, 85, 22447])).
% 39.32/25.79 tff(24746,plain,
% 39.32/25.79 (v141(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24745, 24741])).
% 39.32/25.79 tff(24747,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB191) | (~v141(constB191)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB191) | (~v141(constB191)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24748,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB191) | (~v141(constB191)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24749,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB191) | (~v141(constB191))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24748, 24747])).
% 39.32/25.79 tff(24750,plain,
% 39.32/25.79 (v140(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24749, 97, 24746])).
% 39.32/25.79 tff(24751,plain,
% 39.32/25.79 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB191)) | (~v153(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB191)) | (~v153(constB191)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24752,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB191)) | (~v153(constB191)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24753,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB191)) | (~v153(constB191))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24752, 24751])).
% 39.32/25.79 tff(24754,plain,
% 39.32/25.79 (~v153(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24753, 17156, 24750])).
% 39.32/25.79 tff(24755,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB191) | v154(constB191) | (~v150(constB191)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB191) | v154(constB191) | (~v150(constB191)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24756,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB191) | v154(constB191) | (~v150(constB191)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24757,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB191) | v154(constB191) | (~v150(constB191))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24756, 24755])).
% 39.32/25.79 tff(24758,plain,
% 39.32/25.79 (v154(constB191) | (~v150(constB191))),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24757, 17170, 24754])).
% 39.32/25.79 tff(24759,plain,
% 39.32/25.79 (~v150(constB191)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24758, 24719])).
% 39.32/25.79 tff(24760,plain,
% 39.32/25.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB191, constB192)) | v150(constB191) | (~v152(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB191, constB192)) | v150(constB191) | (~v152(constB192)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24761,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB191, constB192)) | v150(constB191) | (~v152(constB192)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24762,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB191, constB192)) | v150(constB191) | (~v152(constB192))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24761, 24760])).
% 39.32/25.79 tff(24763,plain,
% 39.32/25.79 (v150(constB191) | (~v152(constB192))),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24762, 17185, 22537])).
% 39.32/25.79 tff(24764,plain,
% 39.32/25.79 (~v152(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24763, 24759])).
% 39.32/25.79 tff(24765,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB192) | (~v153(constB192)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB192) | (~v153(constB192)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24766,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB192) | (~v153(constB192)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24767,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB192) | (~v153(constB192))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24766, 24765])).
% 39.32/25.79 tff(24768,plain,
% 39.32/25.79 (~v153(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24767, 17197, 24764])).
% 39.32/25.79 tff(24769,plain,
% 39.32/25.79 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB192)) | (~v141(constB192)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB192)) | (~v141(constB192)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24770,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB192)) | (~v141(constB192)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24771,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB192)) | (~v141(constB192))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24770, 24769])).
% 39.32/25.79 tff(24772,plain,
% 39.32/25.79 (~v141(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24771, 17066, 22593])).
% 39.32/25.79 tff(24773,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB192) | (~v155(constB192)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB192) | (~v155(constB192)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24774,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB192) | (~v155(constB192)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24775,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB192) | (~v155(constB192))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24774, 24773])).
% 39.32/25.79 tff(24776,plain,
% 39.32/25.79 (~v155(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24775, 17212, 24772])).
% 39.32/25.79 tff(24777,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB192) | (~v154(constB192)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB192) | (~v154(constB192)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24778,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB192) | (~v154(constB192)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24779,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB192) | (~v154(constB192))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 39.32/25.79 tff(24780,plain,
% 39.32/25.79 (~v154(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24779, 17223, 24776])).
% 39.32/25.79 tff(24781,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB192) | v154(constB192) | (~v150(constB192)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB192) | v154(constB192) | (~v150(constB192)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24782,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB192) | v154(constB192) | (~v150(constB192)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24783,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB192) | v154(constB192) | (~v150(constB192))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 39.32/25.79 tff(24784,plain,
% 39.32/25.79 (v153(constB192) | (~v150(constB192))),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24783, 17170, 24780])).
% 39.32/25.79 tff(24785,plain,
% 39.32/25.79 (~v150(constB192)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24784, 24768])).
% 39.32/25.79 tff(24786,plain,
% 39.32/25.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB192, constB193)) | v150(constB192) | (~v152(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB192, constB193)) | v150(constB192) | (~v152(constB193)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24787,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB192, constB193)) | v150(constB192) | (~v152(constB193)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24788,plain,
% 39.32/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB192, constB193)) | v150(constB192) | (~v152(constB193))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24787, 24786])).
% 39.32/25.79 tff(24789,plain,
% 39.32/25.79 (v150(constB192) | (~v152(constB193))),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24788, 17185, 22652])).
% 39.32/25.79 tff(24790,plain,
% 39.32/25.79 (~v152(constB193)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24789, 24785])).
% 39.32/25.79 tff(24791,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB193) | (~v164(constB193)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB193) | (~v164(constB193)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24792,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB193) | (~v164(constB193)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24793,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB193) | (~v164(constB193))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24792, 24791])).
% 39.32/25.79 tff(24794,plain,
% 39.32/25.79 (~v164(constB193)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24793, 17247, 24790])).
% 39.32/25.79 tff(24795,assumption,(v18(constB194)), introduced(assumption)).
% 39.32/25.79 tff(24796,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB194))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24797,plain,
% 39.32/25.79 ($false),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24796, 8, 24795])).
% 39.32/25.79 tff(24798,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 39.32/25.79 tff(24799,plain,
% 39.32/25.79 (v1(constB194) <=> v1(constB194)),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24800,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 39.32/25.79 tff(24801,plain,
% 39.32/25.79 (v1(constB194)),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 39.32/25.79 tff(24802,plain,
% 39.32/25.79 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24803,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24804,plain,
% 39.32/25.79 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24803, 24802])).
% 39.32/25.79 tff(24805,plain,
% 39.32/25.79 (v22(constB194)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24804, 21, 24801])).
% 39.32/25.79 tff(24806,plain,
% 39.32/25.79 (((~![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))),
% 39.32/25.79 inference(rewrite,[status(thm)],[])).
% 39.32/25.79 tff(24807,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 39.32/25.79 inference(quant_inst,[status(thm)],[])).
% 39.32/25.79 tff(24808,plain,
% 39.32/25.79 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194)),
% 39.32/25.79 inference(modus_ponens,[status(thm)],[24807, 24806])).
% 39.32/25.79 tff(24809,plain,
% 39.32/25.79 ((~v19(constB194)) | v18(constB194)),
% 39.32/25.79 inference(unit_resolution,[status(thm)],[24808, 35, 24805])).
% 39.40/25.79 tff(24810,plain,
% 39.40/25.79 (~v19(constB194)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24809, 24798])).
% 39.40/25.79 tff(24811,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24812,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24813,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24812, 24811])).
% 39.40/25.79 tff(24814,plain,
% 39.40/25.79 (v13(constB194)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24813, 50, 24810])).
% 39.40/25.79 tff(24815,plain,
% 39.40/25.79 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24816,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 39.40/25.79 tff(24817,plain,
% 39.40/25.79 (nextState(constB193, constB194)),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24816, 24815])).
% 39.40/25.79 tff(24818,plain,
% 39.40/25.79 (((~![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))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24819,plain,
% 39.40/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24820,plain,
% 39.40/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193)),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24819, 24818])).
% 39.40/25.79 tff(24821,plain,
% 39.40/25.79 ((~v13(constB194)) | v9(constB193)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24820, 67, 24817])).
% 39.40/25.79 tff(24822,plain,
% 39.40/25.79 (v9(constB193)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24821, 24814])).
% 39.40/25.79 tff(24823,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v141(constB193))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB193) | (~v9(constB193)) | v141(constB193))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24824,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v141(constB193))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24825,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB193) | (~v9(constB193)) | v141(constB193)),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24824, 24823])).
% 39.40/25.79 tff(24826,plain,
% 39.40/25.79 ((~v9(constB193)) | v141(constB193)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24825, 85, 22649])).
% 39.40/25.79 tff(24827,plain,
% 39.40/25.79 (v141(constB193)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24826, 24822])).
% 39.40/25.79 tff(24828,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB193) | (~v141(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB193) | (~v141(constB193)))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24829,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB193) | (~v141(constB193)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24830,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB193) | (~v141(constB193))),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24829, 24828])).
% 39.40/25.79 tff(24831,plain,
% 39.40/25.79 (v140(constB193)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24830, 97, 24827])).
% 39.40/25.79 tff(24832,plain,
% 39.40/25.79 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB193)) | (~v163(constB193)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB193)) | (~v163(constB193)))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24833,plain,
% 39.40/25.79 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB193)) | (~v163(constB193)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24834,plain,
% 39.40/25.79 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB193)) | (~v163(constB193))),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24833, 24832])).
% 39.40/25.79 tff(24835,plain,
% 39.40/25.79 (~v163(constB193)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24834, 17298, 24831])).
% 39.40/25.79 tff(24836,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB193)) | v164(constB193) | v163(constB193))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB193)) | v164(constB193) | v163(constB193))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24837,plain,
% 39.40/25.79 ((v164(constB193) | v163(constB193) | (~v160(constB193))) <=> ((~v160(constB193)) | v164(constB193) | v163(constB193))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24838,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB193) | v163(constB193) | (~v160(constB193)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB193)) | v164(constB193) | v163(constB193)))),
% 39.40/25.79 inference(monotonicity,[status(thm)],[24837])).
% 39.40/25.79 tff(24839,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB193) | v163(constB193) | (~v160(constB193)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB193)) | v164(constB193) | v163(constB193))),
% 39.40/25.79 inference(transitivity,[status(thm)],[24838, 24836])).
% 39.40/25.79 tff(24840,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB193) | v163(constB193) | (~v160(constB193)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24841,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB193)) | v164(constB193) | v163(constB193)),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24840, 24839])).
% 39.40/25.79 tff(24842,plain,
% 39.40/25.79 ((~v160(constB193)) | v164(constB193)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24841, 17312, 24835])).
% 39.40/25.79 tff(24843,plain,
% 39.40/25.79 (~v160(constB193)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24842, 24794])).
% 39.40/25.79 tff(24844,plain,
% 39.40/25.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB193, constB194)) | v160(constB193) | (~v162(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB193, constB194)) | v160(constB193) | (~v162(constB194)))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24845,plain,
% 39.40/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB193, constB194)) | v160(constB193) | (~v162(constB194)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24846,plain,
% 39.40/25.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB193, constB194)) | v160(constB193) | (~v162(constB194))),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 39.40/25.79 tff(24847,plain,
% 39.40/25.79 (v160(constB193) | (~v162(constB194))),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24846, 17330, 24817])).
% 39.40/25.79 tff(24848,plain,
% 39.40/25.79 (~v162(constB194)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24847, 24843])).
% 39.40/25.79 tff(24849,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB194) | (~v163(constB194)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB194) | (~v163(constB194)))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24850,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB194) | (~v163(constB194)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24851,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB194) | (~v163(constB194))),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24850, 24849])).
% 39.40/25.79 tff(24852,plain,
% 39.40/25.79 (~v163(constB194)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24851, 17342, 24848])).
% 39.40/25.79 tff(24853,plain,
% 39.40/25.79 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB194)) | (~v141(constB194)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB194)) | (~v141(constB194)))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24854,plain,
% 39.40/25.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB194)) | (~v141(constB194)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24855,plain,
% 39.40/25.79 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB194)) | (~v141(constB194))),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24854, 24853])).
% 39.40/25.79 tff(24856,plain,
% 39.40/25.79 (~v141(constB194)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24855, 17066, 24801])).
% 39.40/25.79 tff(24857,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB194) | (~v155(constB194)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB194) | (~v155(constB194)))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24858,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB194) | (~v155(constB194)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24859,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB194) | (~v155(constB194))),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 39.40/25.79 tff(24860,plain,
% 39.40/25.79 (~v155(constB194)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24859, 17212, 24856])).
% 39.40/25.79 tff(24861,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB194) | (~v164(constB194)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB194) | (~v164(constB194)))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24862,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB194) | (~v164(constB194)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24863,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB194) | (~v164(constB194))),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24862, 24861])).
% 39.40/25.79 tff(24864,plain,
% 39.40/25.79 (~v164(constB194)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24863, 17361, 24860])).
% 39.40/25.79 tff(24865,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB194)) | v164(constB194) | v163(constB194))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB194)) | v164(constB194) | v163(constB194))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24866,plain,
% 39.40/25.79 ((v164(constB194) | v163(constB194) | (~v160(constB194))) <=> ((~v160(constB194)) | v164(constB194) | v163(constB194))),
% 39.40/25.79 inference(rewrite,[status(thm)],[])).
% 39.40/25.79 tff(24867,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB194) | v163(constB194) | (~v160(constB194)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB194)) | v164(constB194) | v163(constB194)))),
% 39.40/25.79 inference(monotonicity,[status(thm)],[24866])).
% 39.40/25.79 tff(24868,plain,
% 39.40/25.79 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB194) | v163(constB194) | (~v160(constB194)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB194)) | v164(constB194) | v163(constB194))),
% 39.40/25.79 inference(transitivity,[status(thm)],[24867, 24865])).
% 39.40/25.79 tff(24869,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB194) | v163(constB194) | (~v160(constB194)))),
% 39.40/25.79 inference(quant_inst,[status(thm)],[])).
% 39.40/25.79 tff(24870,plain,
% 39.40/25.79 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB194)) | v164(constB194) | v163(constB194)),
% 39.40/25.79 inference(modus_ponens,[status(thm)],[24869, 24868])).
% 39.40/25.79 tff(24871,plain,
% 39.40/25.79 ((~v160(constB194)) | v163(constB194)),
% 39.40/25.79 inference(unit_resolution,[status(thm)],[24870, 17312, 24864])).
% 39.40/25.80 tff(24872,plain,
% 39.40/25.80 (~v160(constB194)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24871, 24852])).
% 39.40/25.80 tff(24873,plain,
% 39.40/25.80 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24874,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 39.40/25.80 tff(24875,plain,
% 39.40/25.80 (nextState(constB194, constB195)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24874, 24873])).
% 39.40/25.80 tff(24876,plain,
% 39.40/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB194, constB195)) | v160(constB194) | (~v162(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB194, constB195)) | v160(constB194) | (~v162(constB195)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24877,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB194, constB195)) | v160(constB194) | (~v162(constB195)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24878,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB194, constB195)) | v160(constB194) | (~v162(constB195))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24877, 24876])).
% 39.40/25.80 tff(24879,plain,
% 39.40/25.80 (v160(constB194) | (~v162(constB195))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24878, 17330, 24875])).
% 39.40/25.80 tff(24880,plain,
% 39.40/25.80 (~v162(constB195)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24879, 24872])).
% 39.40/25.80 tff(24881,plain,
% 39.40/25.80 ($false),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24880, 24632])).
% 39.40/25.80 tff(24882,plain,(~(constB195 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.80 tff(24883,assumption,(constB37 = sK0_VarCurr), introduced(assumption)).
% 39.40/25.80 tff(24884,plain,
% 39.40/25.80 (v162(constB37) <=> v162(sK0_VarCurr)),
% 39.40/25.80 inference(monotonicity,[status(thm)],[24883])).
% 39.40/25.80 tff(24885,plain,
% 39.40/25.80 (v162(sK0_VarCurr) <=> v162(constB37)),
% 39.40/25.80 inference(symmetry,[status(thm)],[24884])).
% 39.40/25.80 tff(24886,plain,
% 39.40/25.80 (v162(constB37)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[17398, 24885])).
% 39.40/25.80 tff(24887,plain,
% 39.40/25.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB31, bitIndex1)) | (~v145(constB31)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB31, bitIndex1)) | (~v145(constB31)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24888,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB31, bitIndex1)) | (~v145(constB31)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24889,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB31, bitIndex1)) | (~v145(constB31))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24888, 24887])).
% 39.40/25.80 tff(24890,plain,
% 39.40/25.80 (~v145(constB31)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24889, 1116, 4068])).
% 39.40/25.80 tff(24891,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB31) | (~v144(constB31)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB31) | (~v144(constB31)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24892,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB31) | (~v144(constB31)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24893,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB31) | (~v144(constB31))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 39.40/25.80 tff(24894,plain,
% 39.40/25.80 (~v144(constB31)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24893, 17003, 24890])).
% 39.40/25.80 tff(24895,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB31) | (~v142(constB31)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB31) | (~v142(constB31)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24896,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB31) | (~v142(constB31)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24897,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB31) | (~v142(constB31))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24896, 24895])).
% 39.40/25.80 tff(24898,plain,
% 39.40/25.80 (~v142(constB31)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24897, 17014, 24894])).
% 39.40/25.80 tff(24899,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB31) | (~v138(constB31)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB31) | (~v138(constB31)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24900,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB31) | (~v138(constB31)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24901,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB31) | (~v138(constB31))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24900, 24899])).
% 39.40/25.80 tff(24902,plain,
% 39.40/25.80 (~v138(constB31)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24901, 17055, 20103])).
% 39.40/25.80 tff(24903,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB31) | v142(constB31) | (~v135(constB31)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB31) | v142(constB31) | (~v135(constB31)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24904,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB31) | v142(constB31) | (~v135(constB31)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24905,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB31) | v142(constB31) | (~v135(constB31))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 39.40/25.80 tff(24906,plain,
% 39.40/25.80 (v142(constB31) | (~v135(constB31))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24905, 17028, 24902])).
% 39.40/25.80 tff(24907,plain,
% 39.40/25.80 (~v135(constB31)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24906, 24898])).
% 39.40/25.80 tff(24908,plain,
% 39.40/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24909,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24910,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24909, 24908])).
% 39.40/25.80 tff(24911,plain,
% 39.40/25.80 (v135(constB31) | (~v137(constB32))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24910, 17043, 4135])).
% 39.40/25.80 tff(24912,plain,
% 39.40/25.80 (~v137(constB32)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24911, 24907])).
% 39.40/25.80 tff(24913,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB32) | (~v138(constB32)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB32) | (~v138(constB32)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24914,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB32) | (~v138(constB32)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24915,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB32) | (~v138(constB32))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24914, 24913])).
% 39.40/25.80 tff(24916,plain,
% 39.40/25.80 (~v138(constB32)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24915, 17055, 24912])).
% 39.40/25.80 tff(24917,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB32) | (~v144(constB32)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB32) | (~v144(constB32)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24918,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB32) | (~v144(constB32)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24919,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB32) | (~v144(constB32))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24918, 24917])).
% 39.40/25.80 tff(24920,plain,
% 39.40/25.80 (~v144(constB32)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24919, 17077, 20125])).
% 39.40/25.80 tff(24921,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB32) | (~v142(constB32)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB32) | (~v142(constB32)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24922,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB32) | (~v142(constB32)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24923,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB32) | (~v142(constB32))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24922, 24921])).
% 39.40/25.80 tff(24924,plain,
% 39.40/25.80 (~v142(constB32)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24923, 17014, 24920])).
% 39.40/25.80 tff(24925,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB32) | v142(constB32) | (~v135(constB32)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB32) | v142(constB32) | (~v135(constB32)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24926,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB32) | v142(constB32) | (~v135(constB32)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24927,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB32) | v142(constB32) | (~v135(constB32))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24926, 24925])).
% 39.40/25.80 tff(24928,plain,
% 39.40/25.80 (v138(constB32) | (~v135(constB32))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24927, 17028, 24924])).
% 39.40/25.80 tff(24929,plain,
% 39.40/25.80 (~v135(constB32)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24928, 24916])).
% 39.40/25.80 tff(24930,plain,
% 39.40/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24931,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24932,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24931, 24930])).
% 39.40/25.80 tff(24933,plain,
% 39.40/25.80 (v135(constB32) | (~v137(constB33))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24932, 17043, 4197])).
% 39.40/25.80 tff(24934,plain,
% 39.40/25.80 (~v137(constB33)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24933, 24929])).
% 39.40/25.80 tff(24935,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB33) | (~v154(constB33)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB33) | (~v154(constB33)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24936,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB33) | (~v154(constB33)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24937,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB33) | (~v154(constB33))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24936, 24935])).
% 39.40/25.80 tff(24938,plain,
% 39.40/25.80 (~v154(constB33)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24937, 17105, 24934])).
% 39.40/25.80 tff(24939,plain,
% 39.40/25.80 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB33)) | (~v153(constB33)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB33)) | (~v153(constB33)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24940,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB33)) | (~v153(constB33)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24941,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB33)) | (~v153(constB33))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24940, 24939])).
% 39.40/25.80 tff(24942,plain,
% 39.40/25.80 (~v153(constB33)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24941, 17156, 20178])).
% 39.40/25.80 tff(24943,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB33) | v154(constB33) | (~v150(constB33)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB33) | v154(constB33) | (~v150(constB33)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24944,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB33) | v154(constB33) | (~v150(constB33)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24945,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB33) | v154(constB33) | (~v150(constB33))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24944, 24943])).
% 39.40/25.80 tff(24946,plain,
% 39.40/25.80 (v154(constB33) | (~v150(constB33))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24945, 17170, 24942])).
% 39.40/25.80 tff(24947,plain,
% 39.40/25.80 (~v150(constB33)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24946, 24938])).
% 39.40/25.80 tff(24948,plain,
% 39.40/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB33, constB34)) | v150(constB33) | (~v152(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB33, constB34)) | v150(constB33) | (~v152(constB34)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24949,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB33, constB34)) | v150(constB33) | (~v152(constB34)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24950,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB33, constB34)) | v150(constB33) | (~v152(constB34))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24949, 24948])).
% 39.40/25.80 tff(24951,plain,
% 39.40/25.80 (v150(constB33) | (~v152(constB34))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24950, 17185, 4321])).
% 39.40/25.80 tff(24952,plain,
% 39.40/25.80 (~v152(constB34)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24951, 24947])).
% 39.40/25.80 tff(24953,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB34) | (~v153(constB34)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB34) | (~v153(constB34)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24954,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB34) | (~v153(constB34)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24955,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB34) | (~v153(constB34))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24954, 24953])).
% 39.40/25.80 tff(24956,plain,
% 39.40/25.80 (~v153(constB34)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24955, 17197, 24952])).
% 39.40/25.80 tff(24957,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB34) | (~v154(constB34)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB34) | (~v154(constB34)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24958,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB34) | (~v154(constB34)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24959,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB34) | (~v154(constB34))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24958, 24957])).
% 39.40/25.80 tff(24960,plain,
% 39.40/25.80 (~v154(constB34)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24959, 17223, 20207])).
% 39.40/25.80 tff(24961,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB34) | v154(constB34) | (~v150(constB34)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB34) | v154(constB34) | (~v150(constB34)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24962,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB34) | v154(constB34) | (~v150(constB34)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24963,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB34) | v154(constB34) | (~v150(constB34))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24962, 24961])).
% 39.40/25.80 tff(24964,plain,
% 39.40/25.80 (v153(constB34) | (~v150(constB34))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24963, 17170, 24960])).
% 39.40/25.80 tff(24965,plain,
% 39.40/25.80 (~v150(constB34)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24964, 24956])).
% 39.40/25.80 tff(24966,plain,
% 39.40/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB34, constB35)) | v150(constB34) | (~v152(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB34, constB35)) | v150(constB34) | (~v152(constB35)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24967,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB34, constB35)) | v150(constB34) | (~v152(constB35)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24968,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB34, constB35)) | v150(constB34) | (~v152(constB35))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24967, 24966])).
% 39.40/25.80 tff(24969,plain,
% 39.40/25.80 (v150(constB34) | (~v152(constB35))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24968, 17185, 4383])).
% 39.40/25.80 tff(24970,plain,
% 39.40/25.80 (~v152(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24969, 24965])).
% 39.40/25.80 tff(24971,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB35) | (~v164(constB35)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB35) | (~v164(constB35)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24972,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB35) | (~v164(constB35)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24973,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB35) | (~v164(constB35))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24972, 24971])).
% 39.40/25.80 tff(24974,plain,
% 39.40/25.80 (~v164(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24973, 17247, 24970])).
% 39.40/25.80 tff(24975,assumption,(v18(constB36)), introduced(assumption)).
% 39.40/25.80 tff(24976,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB36))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24977,plain,
% 39.40/25.80 ($false),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24976, 8, 24975])).
% 39.40/25.80 tff(24978,plain,(~v18(constB36)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.80 tff(24979,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24980,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24981,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24980, 24979])).
% 39.40/25.80 tff(24982,plain,
% 39.40/25.80 (v22(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24981, 21, 4516])).
% 39.40/25.80 tff(24983,plain,
% 39.40/25.80 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB36)) | (~v22(constB36)) | v18(constB36))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB36)) | (~v22(constB36)) | v18(constB36))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24984,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB36)) | (~v22(constB36)) | v18(constB36))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24985,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB36)) | (~v22(constB36)) | v18(constB36)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24984, 24983])).
% 39.40/25.80 tff(24986,plain,
% 39.40/25.80 ((~v19(constB36)) | v18(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24985, 35, 24982])).
% 39.40/25.80 tff(24987,plain,
% 39.40/25.80 (~v19(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24986, 24978])).
% 39.40/25.80 tff(24988,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24989,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24990,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24989, 24988])).
% 39.40/25.80 tff(24991,plain,
% 39.40/25.80 (v13(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24990, 50, 24987])).
% 39.40/25.80 tff(24992,plain,
% 39.40/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24993,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24994,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24993, 24992])).
% 39.40/25.80 tff(24995,plain,
% 39.40/25.80 ((~v13(constB36)) | v9(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24994, 67, 4496])).
% 39.40/25.80 tff(24996,plain,
% 39.40/25.80 (v9(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24995, 24991])).
% 39.40/25.80 tff(24997,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v141(constB35))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB35) | (~v9(constB35)) | v141(constB35))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(24998,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v141(constB35))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(24999,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB35) | (~v9(constB35)) | v141(constB35)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[24998, 24997])).
% 39.40/25.80 tff(25000,plain,
% 39.40/25.80 ((~v9(constB35)) | v141(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[24999, 85, 4380])).
% 39.40/25.80 tff(25001,plain,
% 39.40/25.80 (v141(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25000, 24996])).
% 39.40/25.80 tff(25002,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB35) | (~v141(constB35)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB35) | (~v141(constB35)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25003,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB35) | (~v141(constB35)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25004,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB35) | (~v141(constB35))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25003, 25002])).
% 39.40/25.80 tff(25005,plain,
% 39.40/25.80 (v140(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25004, 97, 25001])).
% 39.40/25.80 tff(25006,plain,
% 39.40/25.80 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB35)) | (~v163(constB35)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB35)) | (~v163(constB35)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25007,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB35)) | (~v163(constB35)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25008,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB35)) | (~v163(constB35))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25007, 25006])).
% 39.40/25.80 tff(25009,plain,
% 39.40/25.80 (~v163(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25008, 17298, 25005])).
% 39.40/25.80 tff(25010,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB35)) | v164(constB35) | v163(constB35))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB35)) | v164(constB35) | v163(constB35))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25011,plain,
% 39.40/25.80 ((v164(constB35) | v163(constB35) | (~v160(constB35))) <=> ((~v160(constB35)) | v164(constB35) | v163(constB35))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25012,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB35) | v163(constB35) | (~v160(constB35)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB35)) | v164(constB35) | v163(constB35)))),
% 39.40/25.80 inference(monotonicity,[status(thm)],[25011])).
% 39.40/25.80 tff(25013,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB35) | v163(constB35) | (~v160(constB35)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB35)) | v164(constB35) | v163(constB35))),
% 39.40/25.80 inference(transitivity,[status(thm)],[25012, 25010])).
% 39.40/25.80 tff(25014,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB35) | v163(constB35) | (~v160(constB35)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25015,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB35)) | v164(constB35) | v163(constB35)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25014, 25013])).
% 39.40/25.80 tff(25016,plain,
% 39.40/25.80 ((~v160(constB35)) | v164(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25015, 17312, 25009])).
% 39.40/25.80 tff(25017,plain,
% 39.40/25.80 (~v160(constB35)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25016, 24974])).
% 39.40/25.80 tff(25018,plain,
% 39.40/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB35, constB36)) | v160(constB35) | (~v162(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB35, constB36)) | v160(constB35) | (~v162(constB36)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25019,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB35, constB36)) | v160(constB35) | (~v162(constB36)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25020,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB35, constB36)) | v160(constB35) | (~v162(constB36))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25019, 25018])).
% 39.40/25.80 tff(25021,plain,
% 39.40/25.80 (v160(constB35) | (~v162(constB36))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25020, 17330, 4496])).
% 39.40/25.80 tff(25022,plain,
% 39.40/25.80 (~v162(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25021, 25017])).
% 39.40/25.80 tff(25023,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB36) | (~v163(constB36)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB36) | (~v163(constB36)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25024,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB36) | (~v163(constB36)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25025,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB36) | (~v163(constB36))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25024, 25023])).
% 39.40/25.80 tff(25026,plain,
% 39.40/25.80 (~v163(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25025, 17342, 25022])).
% 39.40/25.80 tff(25027,plain,
% 39.40/25.80 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB36)) | (~v141(constB36)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB36)) | (~v141(constB36)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25028,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB36)) | (~v141(constB36)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25029,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB36)) | (~v141(constB36))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25028, 25027])).
% 39.40/25.80 tff(25030,plain,
% 39.40/25.80 (~v141(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25029, 17066, 4516])).
% 39.40/25.80 tff(25031,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB36) | (~v155(constB36)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB36) | (~v155(constB36)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25032,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB36) | (~v155(constB36)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25033,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB36) | (~v155(constB36))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25032, 25031])).
% 39.40/25.80 tff(25034,plain,
% 39.40/25.80 (~v155(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25033, 17212, 25030])).
% 39.40/25.80 tff(25035,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB36) | (~v164(constB36)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB36) | (~v164(constB36)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25036,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB36) | (~v164(constB36)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25037,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB36) | (~v164(constB36))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25036, 25035])).
% 39.40/25.80 tff(25038,plain,
% 39.40/25.80 (~v164(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25037, 17361, 25034])).
% 39.40/25.80 tff(25039,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB36)) | v164(constB36) | v163(constB36))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB36)) | v164(constB36) | v163(constB36))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25040,plain,
% 39.40/25.80 ((v164(constB36) | v163(constB36) | (~v160(constB36))) <=> ((~v160(constB36)) | v164(constB36) | v163(constB36))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25041,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB36) | v163(constB36) | (~v160(constB36)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB36)) | v164(constB36) | v163(constB36)))),
% 39.40/25.80 inference(monotonicity,[status(thm)],[25040])).
% 39.40/25.80 tff(25042,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB36) | v163(constB36) | (~v160(constB36)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB36)) | v164(constB36) | v163(constB36))),
% 39.40/25.80 inference(transitivity,[status(thm)],[25041, 25039])).
% 39.40/25.80 tff(25043,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB36) | v163(constB36) | (~v160(constB36)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25044,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB36)) | v164(constB36) | v163(constB36)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25043, 25042])).
% 39.40/25.80 tff(25045,plain,
% 39.40/25.80 ((~v160(constB36)) | v163(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25044, 17312, 25038])).
% 39.40/25.80 tff(25046,plain,
% 39.40/25.80 (~v160(constB36)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25045, 25026])).
% 39.40/25.80 tff(25047,plain,
% 39.40/25.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB36, constB37)) | v160(constB36) | (~v162(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB36, constB37)) | v160(constB36) | (~v162(constB37)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25048,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB36, constB37)) | v160(constB36) | (~v162(constB37)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25049,plain,
% 39.40/25.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB36, constB37)) | v160(constB36) | (~v162(constB37))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25048, 25047])).
% 39.40/25.80 tff(25050,plain,
% 39.40/25.80 (v160(constB36) | (~v162(constB37))),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25049, 17330, 4588])).
% 39.40/25.80 tff(25051,plain,
% 39.40/25.80 (~v162(constB37)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25050, 25046])).
% 39.40/25.80 tff(25052,plain,
% 39.40/25.80 ($false),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25051, 24886])).
% 39.40/25.80 tff(25053,plain,(~(constB37 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.80 tff(25054,assumption,(constB147 = sK0_VarCurr), introduced(assumption)).
% 39.40/25.80 tff(25055,plain,
% 39.40/25.80 (v162(constB147) <=> v162(sK0_VarCurr)),
% 39.40/25.80 inference(monotonicity,[status(thm)],[25054])).
% 39.40/25.80 tff(25056,plain,
% 39.40/25.80 (v162(sK0_VarCurr) <=> v162(constB147)),
% 39.40/25.80 inference(symmetry,[status(thm)],[25055])).
% 39.40/25.80 tff(25057,plain,
% 39.40/25.80 (v162(constB147)),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[17398, 25056])).
% 39.40/25.80 tff(25058,plain,
% 39.40/25.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB141, bitIndex1)) | (~v145(constB141)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25059,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v145(constB141)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25060,plain,
% 39.40/25.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB141, bitIndex1)) | (~v145(constB141))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25059, 25058])).
% 39.40/25.80 tff(25061,plain,
% 39.40/25.80 (~v145(constB141)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25060, 1116, 16256])).
% 39.40/25.80 tff(25062,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB141) | (~v144(constB141)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB141) | (~v144(constB141)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25063,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB141) | (~v144(constB141)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25064,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB141) | (~v144(constB141))),
% 39.40/25.80 inference(modus_ponens,[status(thm)],[25063, 25062])).
% 39.40/25.80 tff(25065,plain,
% 39.40/25.80 (~v144(constB141)),
% 39.40/25.80 inference(unit_resolution,[status(thm)],[25064, 17003, 25061])).
% 39.40/25.80 tff(25066,plain,
% 39.40/25.80 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB141) | (~v142(constB141)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB141) | (~v142(constB141)))),
% 39.40/25.80 inference(rewrite,[status(thm)],[])).
% 39.40/25.80 tff(25067,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB141) | (~v142(constB141)))),
% 39.40/25.80 inference(quant_inst,[status(thm)],[])).
% 39.40/25.80 tff(25068,plain,
% 39.40/25.80 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB141) | (~v142(constB141))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25067, 25066])).
% 39.40/25.81 tff(25069,plain,
% 39.40/25.81 (~v142(constB141)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25068, 17014, 25065])).
% 39.40/25.81 tff(25070,assumption,(v18(constB142)), introduced(assumption)).
% 39.40/25.81 tff(25071,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB142))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25072,plain,
% 39.40/25.81 ($false),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25071, 8, 25070])).
% 39.40/25.81 tff(25073,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.81 tff(25074,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25075,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25076,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25075, 25074])).
% 39.40/25.81 tff(25077,plain,
% 39.40/25.81 (v22(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25076, 21, 16343])).
% 39.40/25.81 tff(25078,plain,
% 39.40/25.81 (((~![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))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25079,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25080,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25079, 25078])).
% 39.40/25.81 tff(25081,plain,
% 39.40/25.81 ((~v19(constB142)) | v18(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25080, 35, 25077])).
% 39.40/25.81 tff(25082,plain,
% 39.40/25.81 (~v19(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25081, 25073])).
% 39.40/25.81 tff(25083,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25084,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25085,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25084, 25083])).
% 39.40/25.81 tff(25086,plain,
% 39.40/25.81 (v13(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25085, 50, 25082])).
% 39.40/25.81 tff(25087,plain,
% 39.40/25.81 (((~![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))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25088,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25089,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25088, 25087])).
% 39.40/25.81 tff(25090,plain,
% 39.40/25.81 ((~v13(constB142)) | v9(constB141)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25089, 67, 16323])).
% 39.40/25.81 tff(25091,plain,
% 39.40/25.81 (v9(constB141)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25090, 25086])).
% 39.40/25.81 tff(25092,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v141(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB141) | (~v9(constB141)) | v141(constB141))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25093,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v141(constB141))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25094,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB141) | (~v9(constB141)) | v141(constB141)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25093, 25092])).
% 39.40/25.81 tff(25095,plain,
% 39.40/25.81 ((~v9(constB141)) | v141(constB141)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25094, 85, 16201])).
% 39.40/25.81 tff(25096,plain,
% 39.40/25.81 (v141(constB141)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25095, 25091])).
% 39.40/25.81 tff(25097,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB141) | (~v141(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB141) | (~v141(constB141)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25098,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB141) | (~v141(constB141)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25099,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB141) | (~v141(constB141))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25098, 25097])).
% 39.40/25.81 tff(25100,plain,
% 39.40/25.81 (v140(constB141)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25099, 97, 25096])).
% 39.40/25.81 tff(25101,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB141)) | (~v140(constB141)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB141)) | (~v140(constB141)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25102,plain,
% 39.40/25.81 (((~v140(constB141)) | (~v138(constB141))) <=> ((~v138(constB141)) | (~v140(constB141)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25103,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB141)) | (~v138(constB141)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB141)) | (~v140(constB141))))),
% 39.40/25.81 inference(monotonicity,[status(thm)],[25102])).
% 39.40/25.81 tff(25104,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB141)) | (~v138(constB141)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB141)) | (~v140(constB141)))),
% 39.40/25.81 inference(transitivity,[status(thm)],[25103, 25101])).
% 39.40/25.81 tff(25105,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB141)) | (~v138(constB141)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25106,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB141)) | (~v140(constB141))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25105, 25104])).
% 39.40/25.81 tff(25107,plain,
% 39.40/25.81 (~v138(constB141)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25106, 108, 25100])).
% 39.40/25.81 tff(25108,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB141) | v142(constB141) | (~v135(constB141)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB141) | v142(constB141) | (~v135(constB141)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25109,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB141) | v142(constB141) | (~v135(constB141)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25110,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB141) | v142(constB141) | (~v135(constB141))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25109, 25108])).
% 39.40/25.81 tff(25111,plain,
% 39.40/25.81 (v142(constB141) | (~v135(constB141))),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25110, 17028, 25107])).
% 39.40/25.81 tff(25112,plain,
% 39.40/25.81 (~v135(constB141)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25111, 25069])).
% 39.40/25.81 tff(25113,plain,
% 39.40/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25114,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25115,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 39.40/25.81 tff(25116,plain,
% 39.40/25.81 (v135(constB141) | (~v137(constB142))),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25115, 17043, 16323])).
% 39.40/25.81 tff(25117,plain,
% 39.40/25.81 (~v137(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25116, 25112])).
% 39.40/25.81 tff(25118,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB142) | (~v138(constB142)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB142) | (~v138(constB142)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25119,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB142) | (~v138(constB142)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25120,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB142) | (~v138(constB142))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25119, 25118])).
% 39.40/25.81 tff(25121,plain,
% 39.40/25.81 (~v138(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25120, 17055, 25117])).
% 39.40/25.81 tff(25122,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB142)) | (~v141(constB142)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB142)) | (~v141(constB142)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25123,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB142)) | (~v141(constB142)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25124,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB142)) | (~v141(constB142))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25123, 25122])).
% 39.40/25.81 tff(25125,plain,
% 39.40/25.81 (~v141(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25124, 17066, 16343])).
% 39.40/25.81 tff(25126,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB142) | (~v144(constB142)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB142) | (~v144(constB142)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25127,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB142) | (~v144(constB142)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25128,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB142) | (~v144(constB142))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25127, 25126])).
% 39.40/25.81 tff(25129,plain,
% 39.40/25.81 (~v144(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25128, 17077, 25125])).
% 39.40/25.81 tff(25130,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB142) | (~v142(constB142)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB142) | (~v142(constB142)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25131,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB142) | (~v142(constB142)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25132,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB142) | (~v142(constB142))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25131, 25130])).
% 39.40/25.81 tff(25133,plain,
% 39.40/25.81 (~v142(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25132, 17014, 25129])).
% 39.40/25.81 tff(25134,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB142) | v142(constB142) | (~v135(constB142)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB142) | v142(constB142) | (~v135(constB142)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25135,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB142) | v142(constB142) | (~v135(constB142)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25136,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB142) | v142(constB142) | (~v135(constB142))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25135, 25134])).
% 39.40/25.81 tff(25137,plain,
% 39.40/25.81 (v138(constB142) | (~v135(constB142))),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25136, 17028, 25133])).
% 39.40/25.81 tff(25138,plain,
% 39.40/25.81 (~v135(constB142)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25137, 25121])).
% 39.40/25.81 tff(25139,plain,
% 39.40/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25140,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25141,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25140, 25139])).
% 39.40/25.81 tff(25142,plain,
% 39.40/25.81 (v135(constB142) | (~v137(constB143))),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25141, 17043, 16385])).
% 39.40/25.81 tff(25143,plain,
% 39.40/25.81 (~v137(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25142, 25138])).
% 39.40/25.81 tff(25144,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB143) | (~v154(constB143)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB143) | (~v154(constB143)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25145,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB143) | (~v154(constB143)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25146,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB143) | (~v154(constB143))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25145, 25144])).
% 39.40/25.81 tff(25147,plain,
% 39.40/25.81 (~v154(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25146, 17105, 25143])).
% 39.40/25.81 tff(25148,assumption,(v18(constB144)), introduced(assumption)).
% 39.40/25.81 tff(25149,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB144))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25150,plain,
% 39.40/25.81 ($false),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25149, 8, 25148])).
% 39.40/25.81 tff(25151,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.81 tff(25152,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25153,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25154,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 39.40/25.81 tff(25155,plain,
% 39.40/25.81 (v22(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25154, 21, 16529])).
% 39.40/25.81 tff(25156,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25157,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25158,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25157, 25156])).
% 39.40/25.81 tff(25159,plain,
% 39.40/25.81 ((~v19(constB144)) | v18(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25158, 35, 25155])).
% 39.40/25.81 tff(25160,plain,
% 39.40/25.81 (~v19(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25159, 25151])).
% 39.40/25.81 tff(25161,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25162,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25163,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25162, 25161])).
% 39.40/25.81 tff(25164,plain,
% 39.40/25.81 (v13(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25163, 50, 25160])).
% 39.40/25.81 tff(25165,plain,
% 39.40/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25166,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25167,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25166, 25165])).
% 39.40/25.81 tff(25168,plain,
% 39.40/25.81 ((~v13(constB144)) | v9(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25167, 67, 16509])).
% 39.40/25.81 tff(25169,plain,
% 39.40/25.81 (v9(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25168, 25164])).
% 39.40/25.81 tff(25170,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v141(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB143) | (~v9(constB143)) | v141(constB143))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25171,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v141(constB143))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25172,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB143) | (~v9(constB143)) | v141(constB143)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25171, 25170])).
% 39.40/25.81 tff(25173,plain,
% 39.40/25.81 ((~v9(constB143)) | v141(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25172, 85, 16382])).
% 39.40/25.81 tff(25174,plain,
% 39.40/25.81 (v141(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25173, 25169])).
% 39.40/25.81 tff(25175,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB143) | (~v141(constB143)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB143) | (~v141(constB143)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25176,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB143) | (~v141(constB143)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25177,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB143) | (~v141(constB143))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25176, 25175])).
% 39.40/25.81 tff(25178,plain,
% 39.40/25.81 (v140(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25177, 97, 25174])).
% 39.40/25.81 tff(25179,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB143)) | (~v153(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB143)) | (~v153(constB143)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25180,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB143)) | (~v153(constB143)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25181,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB143)) | (~v153(constB143))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25180, 25179])).
% 39.40/25.81 tff(25182,plain,
% 39.40/25.81 (~v153(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25181, 17156, 25178])).
% 39.40/25.81 tff(25183,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB143) | v154(constB143) | (~v150(constB143)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB143) | v154(constB143) | (~v150(constB143)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25184,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB143) | v154(constB143) | (~v150(constB143)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25185,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB143) | v154(constB143) | (~v150(constB143))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25184, 25183])).
% 39.40/25.81 tff(25186,plain,
% 39.40/25.81 (v154(constB143) | (~v150(constB143))),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25185, 17170, 25182])).
% 39.40/25.81 tff(25187,plain,
% 39.40/25.81 (~v150(constB143)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25186, 25147])).
% 39.40/25.81 tff(25188,plain,
% 39.40/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25189,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25190,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25189, 25188])).
% 39.40/25.81 tff(25191,plain,
% 39.40/25.81 (v150(constB143) | (~v152(constB144))),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25190, 17185, 16509])).
% 39.40/25.81 tff(25192,plain,
% 39.40/25.81 (~v152(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25191, 25187])).
% 39.40/25.81 tff(25193,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB144) | (~v153(constB144)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB144) | (~v153(constB144)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25194,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB144) | (~v153(constB144)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25195,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB144) | (~v153(constB144))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25194, 25193])).
% 39.40/25.81 tff(25196,plain,
% 39.40/25.81 (~v153(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25195, 17197, 25192])).
% 39.40/25.81 tff(25197,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB144)) | (~v141(constB144)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB144)) | (~v141(constB144)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25198,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB144)) | (~v141(constB144)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25199,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB144)) | (~v141(constB144))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25198, 25197])).
% 39.40/25.81 tff(25200,plain,
% 39.40/25.81 (~v141(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25199, 17066, 16529])).
% 39.40/25.81 tff(25201,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB144) | (~v155(constB144)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB144) | (~v155(constB144)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25202,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB144) | (~v155(constB144)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25203,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB144) | (~v155(constB144))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25202, 25201])).
% 39.40/25.81 tff(25204,plain,
% 39.40/25.81 (~v155(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25203, 17212, 25200])).
% 39.40/25.81 tff(25205,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB144) | (~v154(constB144)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB144) | (~v154(constB144)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25206,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB144) | (~v154(constB144)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25207,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB144) | (~v154(constB144))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25206, 25205])).
% 39.40/25.81 tff(25208,plain,
% 39.40/25.81 (~v154(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25207, 17223, 25204])).
% 39.40/25.81 tff(25209,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB144) | v154(constB144) | (~v150(constB144)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB144) | v154(constB144) | (~v150(constB144)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25210,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB144) | v154(constB144) | (~v150(constB144)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25211,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB144) | v154(constB144) | (~v150(constB144))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25210, 25209])).
% 39.40/25.81 tff(25212,plain,
% 39.40/25.81 (v153(constB144) | (~v150(constB144))),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25211, 17170, 25208])).
% 39.40/25.81 tff(25213,plain,
% 39.40/25.81 (~v150(constB144)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25212, 25196])).
% 39.40/25.81 tff(25214,plain,
% 39.40/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25215,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25216,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25215, 25214])).
% 39.40/25.81 tff(25217,plain,
% 39.40/25.81 (v150(constB144) | (~v152(constB145))),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25216, 17185, 16571])).
% 39.40/25.81 tff(25218,plain,
% 39.40/25.81 (~v152(constB145)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25217, 25213])).
% 39.40/25.81 tff(25219,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB145) | (~v164(constB145)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB145) | (~v164(constB145)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25220,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB145) | (~v164(constB145)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25221,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB145) | (~v164(constB145))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25220, 25219])).
% 39.40/25.81 tff(25222,plain,
% 39.40/25.81 (~v164(constB145)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25221, 17247, 25218])).
% 39.40/25.81 tff(25223,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v145(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB139, bitIndex1)) | (~v145(constB139)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25224,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v145(constB139)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25225,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB139, bitIndex1)) | (~v145(constB139))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25224, 25223])).
% 39.40/25.81 tff(25226,plain,
% 39.40/25.81 (~v145(constB139)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25225, 1116, 16050])).
% 39.40/25.81 tff(25227,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB139) | (~v144(constB139)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB139) | (~v144(constB139)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25228,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB139) | (~v144(constB139)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25229,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB139) | (~v144(constB139))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25228, 25227])).
% 39.40/25.81 tff(25230,plain,
% 39.40/25.81 (~v144(constB139)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25229, 17003, 25226])).
% 39.40/25.81 tff(25231,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB139) | (~v142(constB139)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB139) | (~v142(constB139)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25232,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB139) | (~v142(constB139)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25233,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB139) | (~v142(constB139))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25232, 25231])).
% 39.40/25.81 tff(25234,plain,
% 39.40/25.81 (~v142(constB139)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25233, 17014, 25230])).
% 39.40/25.81 tff(25235,assumption,(v18(constB140)), introduced(assumption)).
% 39.40/25.81 tff(25236,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB140))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25237,plain,
% 39.40/25.81 ($false),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25236, 8, 25235])).
% 39.40/25.81 tff(25238,plain,(~v18(constB140)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.81 tff(25239,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140)))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25240,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25241,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140))),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25240, 25239])).
% 39.40/25.81 tff(25242,plain,
% 39.40/25.81 (v22(constB140)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25241, 21, 16143])).
% 39.40/25.81 tff(25243,plain,
% 39.40/25.81 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB140)) | (~v22(constB140)) | v18(constB140))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB140)) | (~v22(constB140)) | v18(constB140))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25244,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB140)) | (~v22(constB140)) | v18(constB140))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25245,plain,
% 39.40/25.81 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB140)) | (~v22(constB140)) | v18(constB140)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25244, 25243])).
% 39.40/25.81 tff(25246,plain,
% 39.40/25.81 ((~v19(constB140)) | v18(constB140)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25245, 35, 25242])).
% 39.40/25.81 tff(25247,plain,
% 39.40/25.81 (~v19(constB140)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25246, 25238])).
% 39.40/25.81 tff(25248,plain,
% 39.40/25.81 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25249,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25250,plain,
% 39.40/25.81 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140)),
% 39.40/25.81 inference(modus_ponens,[status(thm)],[25249, 25248])).
% 39.40/25.81 tff(25251,plain,
% 39.40/25.81 (v13(constB140)),
% 39.40/25.81 inference(unit_resolution,[status(thm)],[25250, 50, 25247])).
% 39.40/25.81 tff(25252,plain,
% 39.40/25.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))),
% 39.40/25.81 inference(rewrite,[status(thm)],[])).
% 39.40/25.81 tff(25253,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))),
% 39.40/25.81 inference(quant_inst,[status(thm)],[])).
% 39.40/25.81 tff(25254,plain,
% 39.40/25.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139)),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25253, 25252])).
% 39.40/25.82 tff(25255,plain,
% 39.40/25.82 ((~v13(constB140)) | v9(constB139)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25254, 67, 16123])).
% 39.40/25.82 tff(25256,plain,
% 39.40/25.82 (v9(constB139)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25255, 25251])).
% 39.40/25.82 tff(25257,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB139) | (~v9(constB139)) | v141(constB139))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25258,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v141(constB139))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25259,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB139) | (~v9(constB139)) | v141(constB139)),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25258, 25257])).
% 39.40/25.82 tff(25260,plain,
% 39.40/25.82 ((~v9(constB139)) | v141(constB139)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25259, 85, 15995])).
% 39.40/25.82 tff(25261,plain,
% 39.40/25.82 (v141(constB139)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25260, 25256])).
% 39.40/25.82 tff(25262,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB139) | (~v141(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB139) | (~v141(constB139)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25263,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB139) | (~v141(constB139)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25264,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB139) | (~v141(constB139))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25263, 25262])).
% 39.40/25.82 tff(25265,plain,
% 39.40/25.82 (v140(constB139)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25264, 97, 25261])).
% 39.40/25.82 tff(25266,plain,
% 39.40/25.82 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB139)) | (~v138(constB139)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB139)) | (~v138(constB139)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25267,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB139)) | (~v138(constB139)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25268,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB139)) | (~v138(constB139))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25267, 25266])).
% 39.40/25.82 tff(25269,plain,
% 39.40/25.82 (~v138(constB139)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25268, 108, 25265])).
% 39.40/25.82 tff(25270,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB139) | v142(constB139) | (~v135(constB139)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB139) | v142(constB139) | (~v135(constB139)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25271,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB139) | v142(constB139) | (~v135(constB139)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25272,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB139) | v142(constB139) | (~v135(constB139))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25271, 25270])).
% 39.40/25.82 tff(25273,plain,
% 39.40/25.82 (v142(constB139) | (~v135(constB139))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25272, 17028, 25269])).
% 39.40/25.82 tff(25274,plain,
% 39.40/25.82 (~v135(constB139)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25273, 25234])).
% 39.40/25.82 tff(25275,plain,
% 39.40/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25276,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25277,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 39.40/25.82 tff(25278,plain,
% 39.40/25.82 (v135(constB139) | (~v137(constB140))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25277, 17043, 16123])).
% 39.40/25.82 tff(25279,plain,
% 39.40/25.82 (~v137(constB140)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25278, 25274])).
% 39.40/25.82 tff(25280,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB140) | (~v138(constB140)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB140) | (~v138(constB140)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25281,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB140) | (~v138(constB140)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25282,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB140) | (~v138(constB140))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25281, 25280])).
% 39.40/25.82 tff(25283,plain,
% 39.40/25.82 (~v138(constB140)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25282, 17055, 25279])).
% 39.40/25.82 tff(25284,plain,
% 39.40/25.82 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB140)) | (~v141(constB140)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB140)) | (~v141(constB140)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25285,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB140)) | (~v141(constB140)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25286,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB140)) | (~v141(constB140))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25285, 25284])).
% 39.40/25.82 tff(25287,plain,
% 39.40/25.82 (~v141(constB140)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25286, 17066, 16143])).
% 39.40/25.82 tff(25288,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB140) | (~v144(constB140)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB140) | (~v144(constB140)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25289,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB140) | (~v144(constB140)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25290,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB140) | (~v144(constB140))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25289, 25288])).
% 39.40/25.82 tff(25291,plain,
% 39.40/25.82 (~v144(constB140)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25290, 17077, 25287])).
% 39.40/25.82 tff(25292,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB140) | (~v142(constB140)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB140) | (~v142(constB140)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25293,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB140) | (~v142(constB140)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25294,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB140) | (~v142(constB140))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25293, 25292])).
% 39.40/25.82 tff(25295,plain,
% 39.40/25.82 (~v142(constB140)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25294, 17014, 25291])).
% 39.40/25.82 tff(25296,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB140) | v142(constB140) | (~v135(constB140)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB140) | v142(constB140) | (~v135(constB140)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25297,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB140) | v142(constB140) | (~v135(constB140)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25298,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB140) | v142(constB140) | (~v135(constB140))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25297, 25296])).
% 39.40/25.82 tff(25299,plain,
% 39.40/25.82 (v138(constB140) | (~v135(constB140))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25298, 17028, 25295])).
% 39.40/25.82 tff(25300,plain,
% 39.40/25.82 (~v135(constB140)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25299, 25283])).
% 39.40/25.82 tff(25301,plain,
% 39.40/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25302,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25303,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25302, 25301])).
% 39.40/25.82 tff(25304,plain,
% 39.40/25.82 (v135(constB140) | (~v137(constB141))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25303, 17043, 16204])).
% 39.40/25.82 tff(25305,plain,
% 39.40/25.82 (~v137(constB141)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25304, 25300])).
% 39.40/25.82 tff(25306,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB141) | (~v154(constB141)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB141) | (~v154(constB141)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25307,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB141) | (~v154(constB141)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25308,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB141) | (~v154(constB141))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25307, 25306])).
% 39.40/25.82 tff(25309,plain,
% 39.40/25.82 (~v154(constB141)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25308, 17105, 25305])).
% 39.40/25.82 tff(25310,plain,
% 39.40/25.82 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB141)) | (~v153(constB141)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB141)) | (~v153(constB141)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25311,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB141)) | (~v153(constB141)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25312,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB141)) | (~v153(constB141))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 39.40/25.82 tff(25313,plain,
% 39.40/25.82 (~v153(constB141)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25312, 17156, 25100])).
% 39.40/25.82 tff(25314,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB141) | v154(constB141) | (~v150(constB141)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB141) | v154(constB141) | (~v150(constB141)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25315,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB141) | v154(constB141) | (~v150(constB141)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25316,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB141) | v154(constB141) | (~v150(constB141))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25315, 25314])).
% 39.40/25.82 tff(25317,plain,
% 39.40/25.82 (v154(constB141) | (~v150(constB141))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25316, 17170, 25313])).
% 39.40/25.82 tff(25318,plain,
% 39.40/25.82 (~v150(constB141)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25317, 25309])).
% 39.40/25.82 tff(25319,plain,
% 39.40/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25320,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25321,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25320, 25319])).
% 39.40/25.82 tff(25322,plain,
% 39.40/25.82 (v150(constB141) | (~v152(constB142))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25321, 17185, 16323])).
% 39.40/25.82 tff(25323,plain,
% 39.40/25.82 (~v152(constB142)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25322, 25318])).
% 39.40/25.82 tff(25324,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB142) | (~v153(constB142)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB142) | (~v153(constB142)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25325,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB142) | (~v153(constB142)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25326,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB142) | (~v153(constB142))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25325, 25324])).
% 39.40/25.82 tff(25327,plain,
% 39.40/25.82 (~v153(constB142)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25326, 17197, 25323])).
% 39.40/25.82 tff(25328,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB142) | (~v155(constB142)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB142) | (~v155(constB142)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25329,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB142) | (~v155(constB142)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25330,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB142) | (~v155(constB142))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25329, 25328])).
% 39.40/25.82 tff(25331,plain,
% 39.40/25.82 (~v155(constB142)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25330, 17212, 25125])).
% 39.40/25.82 tff(25332,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB142) | (~v154(constB142)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB142) | (~v154(constB142)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25333,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB142) | (~v154(constB142)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25334,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB142) | (~v154(constB142))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25333, 25332])).
% 39.40/25.82 tff(25335,plain,
% 39.40/25.82 (~v154(constB142)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25334, 17223, 25331])).
% 39.40/25.82 tff(25336,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB142) | v154(constB142) | (~v150(constB142)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB142) | v154(constB142) | (~v150(constB142)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25337,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB142) | v154(constB142) | (~v150(constB142)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25338,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB142) | v154(constB142) | (~v150(constB142))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25337, 25336])).
% 39.40/25.82 tff(25339,plain,
% 39.40/25.82 (v153(constB142) | (~v150(constB142))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25338, 17170, 25335])).
% 39.40/25.82 tff(25340,plain,
% 39.40/25.82 (~v150(constB142)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25339, 25327])).
% 39.40/25.82 tff(25341,plain,
% 39.40/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25342,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25343,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25342, 25341])).
% 39.40/25.82 tff(25344,plain,
% 39.40/25.82 (v150(constB142) | (~v152(constB143))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25343, 17185, 16385])).
% 39.40/25.82 tff(25345,plain,
% 39.40/25.82 (~v152(constB143)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25344, 25340])).
% 39.40/25.82 tff(25346,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB143) | (~v164(constB143)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB143) | (~v164(constB143)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25347,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB143) | (~v164(constB143)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25348,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB143) | (~v164(constB143))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25347, 25346])).
% 39.40/25.82 tff(25349,plain,
% 39.40/25.82 (~v164(constB143)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25348, 17247, 25345])).
% 39.40/25.82 tff(25350,plain,
% 39.40/25.82 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB143)) | (~v163(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB143)) | (~v163(constB143)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25351,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB143)) | (~v163(constB143)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25352,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB143)) | (~v163(constB143))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25351, 25350])).
% 39.40/25.82 tff(25353,plain,
% 39.40/25.82 (~v163(constB143)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25352, 17298, 25178])).
% 39.40/25.82 tff(25354,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB143)) | v164(constB143) | v163(constB143))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB143)) | v164(constB143) | v163(constB143))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25355,plain,
% 39.40/25.82 ((v164(constB143) | v163(constB143) | (~v160(constB143))) <=> ((~v160(constB143)) | v164(constB143) | v163(constB143))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25356,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB143) | v163(constB143) | (~v160(constB143)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB143)) | v164(constB143) | v163(constB143)))),
% 39.40/25.82 inference(monotonicity,[status(thm)],[25355])).
% 39.40/25.82 tff(25357,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB143) | v163(constB143) | (~v160(constB143)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB143)) | v164(constB143) | v163(constB143))),
% 39.40/25.82 inference(transitivity,[status(thm)],[25356, 25354])).
% 39.40/25.82 tff(25358,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB143) | v163(constB143) | (~v160(constB143)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25359,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB143)) | v164(constB143) | v163(constB143)),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25358, 25357])).
% 39.40/25.82 tff(25360,plain,
% 39.40/25.82 ((~v160(constB143)) | v164(constB143)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25359, 17312, 25353])).
% 39.40/25.82 tff(25361,plain,
% 39.40/25.82 (~v160(constB143)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25360, 25349])).
% 39.40/25.82 tff(25362,plain,
% 39.40/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25363,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25364,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25363, 25362])).
% 39.40/25.82 tff(25365,plain,
% 39.40/25.82 (v160(constB143) | (~v162(constB144))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25364, 17330, 16509])).
% 39.40/25.82 tff(25366,plain,
% 39.40/25.82 (~v162(constB144)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25365, 25361])).
% 39.40/25.82 tff(25367,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB144) | (~v163(constB144)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB144) | (~v163(constB144)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25368,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB144) | (~v163(constB144)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25369,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB144) | (~v163(constB144))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25368, 25367])).
% 39.40/25.82 tff(25370,plain,
% 39.40/25.82 (~v163(constB144)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25369, 17342, 25366])).
% 39.40/25.82 tff(25371,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB144) | (~v164(constB144)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB144) | (~v164(constB144)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25372,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB144) | (~v164(constB144)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25373,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB144) | (~v164(constB144))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 39.40/25.82 tff(25374,plain,
% 39.40/25.82 (~v164(constB144)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25373, 17361, 25204])).
% 39.40/25.82 tff(25375,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB144)) | v164(constB144) | v163(constB144))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB144)) | v164(constB144) | v163(constB144))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25376,plain,
% 39.40/25.82 ((v164(constB144) | v163(constB144) | (~v160(constB144))) <=> ((~v160(constB144)) | v164(constB144) | v163(constB144))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25377,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB144) | v163(constB144) | (~v160(constB144)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB144)) | v164(constB144) | v163(constB144)))),
% 39.40/25.82 inference(monotonicity,[status(thm)],[25376])).
% 39.40/25.82 tff(25378,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB144) | v163(constB144) | (~v160(constB144)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB144)) | v164(constB144) | v163(constB144))),
% 39.40/25.82 inference(transitivity,[status(thm)],[25377, 25375])).
% 39.40/25.82 tff(25379,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB144) | v163(constB144) | (~v160(constB144)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25380,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB144)) | v164(constB144) | v163(constB144)),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25379, 25378])).
% 39.40/25.82 tff(25381,plain,
% 39.40/25.82 ((~v160(constB144)) | v163(constB144)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25380, 17312, 25374])).
% 39.40/25.82 tff(25382,plain,
% 39.40/25.82 (~v160(constB144)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25381, 25370])).
% 39.40/25.82 tff(25383,plain,
% 39.40/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25384,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25385,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25384, 25383])).
% 39.40/25.82 tff(25386,plain,
% 39.40/25.82 (v160(constB144) | (~v162(constB145))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25385, 17330, 16571])).
% 39.40/25.82 tff(25387,plain,
% 39.40/25.82 (~v162(constB145)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25386, 25382])).
% 39.40/25.82 tff(25388,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB145) | (~v163(constB145)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB145) | (~v163(constB145)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25389,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB145) | (~v163(constB145)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25390,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB145) | (~v163(constB145))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 39.40/25.82 tff(25391,plain,
% 39.40/25.82 (~v163(constB145)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25390, 17342, 25387])).
% 39.40/25.82 tff(25392,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB145)) | v163(constB145) | v164(constB145))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB145)) | v163(constB145) | v164(constB145))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25393,plain,
% 39.40/25.82 ((v164(constB145) | v163(constB145) | (~v160(constB145))) <=> ((~v160(constB145)) | v163(constB145) | v164(constB145))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25394,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB145) | v163(constB145) | (~v160(constB145)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB145)) | v163(constB145) | v164(constB145)))),
% 39.40/25.82 inference(monotonicity,[status(thm)],[25393])).
% 39.40/25.82 tff(25395,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB145) | v163(constB145) | (~v160(constB145)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB145)) | v163(constB145) | v164(constB145))),
% 39.40/25.82 inference(transitivity,[status(thm)],[25394, 25392])).
% 39.40/25.82 tff(25396,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB145) | v163(constB145) | (~v160(constB145)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25397,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB145)) | v163(constB145) | v164(constB145)),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25396, 25395])).
% 39.40/25.82 tff(25398,plain,
% 39.40/25.82 ((~v160(constB145)) | v164(constB145)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25397, 17312, 25391])).
% 39.40/25.82 tff(25399,plain,
% 39.40/25.82 (~v160(constB145)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25398, 25222])).
% 39.40/25.82 tff(25400,plain,
% 39.40/25.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB145, constB146)) | v160(constB145) | (~v162(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB145, constB146)) | v160(constB145) | (~v162(constB146)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25401,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB145, constB146)) | v160(constB145) | (~v162(constB146)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25402,plain,
% 39.40/25.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB145, constB146)) | v160(constB145) | (~v162(constB146))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25401, 25400])).
% 39.40/25.82 tff(25403,plain,
% 39.40/25.82 (v160(constB145) | (~v162(constB146))),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25402, 17330, 16684])).
% 39.40/25.82 tff(25404,plain,
% 39.40/25.82 (~v162(constB146)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25403, 25399])).
% 39.40/25.82 tff(25405,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB146) | (~v163(constB146)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB146) | (~v163(constB146)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25406,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB146) | (~v163(constB146)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25407,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB146) | (~v163(constB146))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25406, 25405])).
% 39.40/25.82 tff(25408,plain,
% 39.40/25.82 (~v163(constB146)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25407, 17342, 25404])).
% 39.40/25.82 tff(25409,plain,
% 39.40/25.82 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB146)) | (~v141(constB146)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB146)) | (~v141(constB146)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25410,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB146)) | (~v141(constB146)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25411,plain,
% 39.40/25.82 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB146)) | (~v141(constB146))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25410, 25409])).
% 39.40/25.82 tff(25412,plain,
% 39.40/25.82 (~v141(constB146)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25411, 17066, 16704])).
% 39.40/25.82 tff(25413,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB146) | (~v155(constB146)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB146) | (~v155(constB146)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25414,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB146) | (~v155(constB146)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25415,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB146) | (~v155(constB146))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 39.40/25.82 tff(25416,plain,
% 39.40/25.82 (~v155(constB146)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25415, 17212, 25412])).
% 39.40/25.82 tff(25417,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB146) | (~v164(constB146)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB146) | (~v164(constB146)))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25418,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB146) | (~v164(constB146)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25419,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB146) | (~v164(constB146))),
% 39.40/25.82 inference(modus_ponens,[status(thm)],[25418, 25417])).
% 39.40/25.82 tff(25420,plain,
% 39.40/25.82 (~v164(constB146)),
% 39.40/25.82 inference(unit_resolution,[status(thm)],[25419, 17361, 25416])).
% 39.40/25.82 tff(25421,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB146)) | v164(constB146) | v163(constB146))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB146)) | v164(constB146) | v163(constB146))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25422,plain,
% 39.40/25.82 ((v164(constB146) | v163(constB146) | (~v160(constB146))) <=> ((~v160(constB146)) | v164(constB146) | v163(constB146))),
% 39.40/25.82 inference(rewrite,[status(thm)],[])).
% 39.40/25.82 tff(25423,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB146) | v163(constB146) | (~v160(constB146)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB146)) | v164(constB146) | v163(constB146)))),
% 39.40/25.82 inference(monotonicity,[status(thm)],[25422])).
% 39.40/25.82 tff(25424,plain,
% 39.40/25.82 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB146) | v163(constB146) | (~v160(constB146)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB146)) | v164(constB146) | v163(constB146))),
% 39.40/25.82 inference(transitivity,[status(thm)],[25423, 25421])).
% 39.40/25.82 tff(25425,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB146) | v163(constB146) | (~v160(constB146)))),
% 39.40/25.82 inference(quant_inst,[status(thm)],[])).
% 39.40/25.82 tff(25426,plain,
% 39.40/25.82 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB146)) | v164(constB146) | v163(constB146)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25425, 25424])).
% 39.40/25.83 tff(25427,plain,
% 39.40/25.83 ((~v160(constB146)) | v163(constB146)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25426, 17312, 25420])).
% 39.40/25.83 tff(25428,plain,
% 39.40/25.83 (~v160(constB146)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25427, 25408])).
% 39.40/25.83 tff(25429,plain,
% 39.40/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB146, constB147)) | v160(constB146) | (~v162(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB146, constB147)) | v160(constB146) | (~v162(constB147)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25430,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB146, constB147)) | v160(constB146) | (~v162(constB147)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25431,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB146, constB147)) | v160(constB146) | (~v162(constB147))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25430, 25429])).
% 39.40/25.83 tff(25432,plain,
% 39.40/25.83 (v160(constB146) | (~v162(constB147))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25431, 17330, 16776])).
% 39.40/25.83 tff(25433,plain,
% 39.40/25.83 (~v162(constB147)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25432, 25428])).
% 39.40/25.83 tff(25434,plain,
% 39.40/25.83 ($false),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25433, 25057])).
% 39.40/25.83 tff(25435,plain,(~(constB147 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.83 tff(25436,assumption,(constB17 = sK0_VarCurr), introduced(assumption)).
% 39.40/25.83 tff(25437,plain,
% 39.40/25.83 (v162(constB17) <=> v162(sK0_VarCurr)),
% 39.40/25.83 inference(monotonicity,[status(thm)],[25436])).
% 39.40/25.83 tff(25438,plain,
% 39.40/25.83 (v162(sK0_VarCurr) <=> v162(constB17)),
% 39.40/25.83 inference(symmetry,[status(thm)],[25437])).
% 39.40/25.83 tff(25439,plain,
% 39.40/25.83 (v162(constB17)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[17398, 25438])).
% 39.40/25.83 tff(25440,assumption,(v18(constB10)), introduced(assumption)).
% 39.40/25.83 tff(25441,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB10))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25442,plain,
% 39.40/25.83 ($false),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25441, 8, 25440])).
% 39.40/25.83 tff(25443,plain,(~v18(constB10)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.83 tff(25444,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25445,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25446,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25445, 25444])).
% 39.40/25.83 tff(25447,plain,
% 39.40/25.83 (v22(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25446, 21, 1664])).
% 39.40/25.83 tff(25448,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB10)) | (~v22(constB10)) | v18(constB10))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB10)) | (~v22(constB10)) | v18(constB10))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25449,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB10)) | (~v22(constB10)) | v18(constB10))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25450,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB10)) | (~v22(constB10)) | v18(constB10)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25449, 25448])).
% 39.40/25.83 tff(25451,plain,
% 39.40/25.83 ((~v19(constB10)) | v18(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25450, 35, 25447])).
% 39.40/25.83 tff(25452,plain,
% 39.40/25.83 (~v19(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25451, 25443])).
% 39.40/25.83 tff(25453,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25454,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25455,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25454, 25453])).
% 39.40/25.83 tff(25456,plain,
% 39.40/25.83 (v13(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25455, 50, 25452])).
% 39.40/25.83 tff(25457,plain,
% 39.40/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25458,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25459,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25458, 25457])).
% 39.40/25.83 tff(25460,plain,
% 39.40/25.83 ((~v13(constB10)) | v9(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25459, 67, 1644])).
% 39.40/25.83 tff(25461,plain,
% 39.40/25.83 (v9(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25460, 25456])).
% 39.40/25.83 tff(25462,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v141(constB9))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB9) | (~v9(constB9)) | v141(constB9))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25463,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v141(constB9))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25464,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB9) | (~v9(constB9)) | v141(constB9)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 39.40/25.83 tff(25465,plain,
% 39.40/25.83 ((~v9(constB9)) | v141(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25464, 85, 1479])).
% 39.40/25.83 tff(25466,plain,
% 39.40/25.83 (v141(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25465, 25461])).
% 39.40/25.83 tff(25467,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB9) | (~v141(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB9) | (~v141(constB9)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25468,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB9) | (~v141(constB9)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25469,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB9) | (~v141(constB9))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25468, 25467])).
% 39.40/25.83 tff(25470,plain,
% 39.40/25.83 (v140(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25469, 97, 25466])).
% 39.40/25.83 tff(25471,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB9)) | (~v140(constB9)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB9)) | (~v140(constB9)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25472,plain,
% 39.40/25.83 (((~v140(constB9)) | (~v138(constB9))) <=> ((~v138(constB9)) | (~v140(constB9)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25473,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB9)) | (~v138(constB9)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB9)) | (~v140(constB9))))),
% 39.40/25.83 inference(monotonicity,[status(thm)],[25472])).
% 39.40/25.83 tff(25474,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB9)) | (~v138(constB9)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB9)) | (~v140(constB9)))),
% 39.40/25.83 inference(transitivity,[status(thm)],[25473, 25471])).
% 39.40/25.83 tff(25475,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB9)) | (~v138(constB9)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25476,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB9)) | (~v140(constB9))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25475, 25474])).
% 39.40/25.83 tff(25477,plain,
% 39.40/25.83 (~v138(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25476, 108, 25470])).
% 39.40/25.83 tff(25478,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB9, bitIndex1)) | (~v145(constB9)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB9, bitIndex1)) | (~v145(constB9)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25479,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB9, bitIndex1)) | (~v145(constB9)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25480,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB9, bitIndex1)) | (~v145(constB9))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25479, 25478])).
% 39.40/25.83 tff(25481,plain,
% 39.40/25.83 (~v145(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25480, 1116, 1544])).
% 39.40/25.83 tff(25482,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB9) | (~v144(constB9)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB9) | (~v144(constB9)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25483,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB9) | (~v144(constB9)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25484,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB9) | (~v144(constB9))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 39.40/25.83 tff(25485,plain,
% 39.40/25.83 (~v144(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25484, 17003, 25481])).
% 39.40/25.83 tff(25486,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB9) | (~v142(constB9)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25487,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB9) | (~v142(constB9)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25488,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB9) | (~v142(constB9))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25487, 25486])).
% 39.40/25.83 tff(25489,plain,
% 39.40/25.83 (~v142(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25488, 17014, 25485])).
% 39.40/25.83 tff(25490,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB9) | v142(constB9) | (~v135(constB9)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB9) | v142(constB9) | (~v135(constB9)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25491,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB9) | v142(constB9) | (~v135(constB9)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25492,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB9) | v142(constB9) | (~v135(constB9))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25491, 25490])).
% 39.40/25.83 tff(25493,plain,
% 39.40/25.83 (v138(constB9) | (~v135(constB9))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25492, 17028, 25489])).
% 39.40/25.83 tff(25494,plain,
% 39.40/25.83 (~v135(constB9)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25493, 25477])).
% 39.40/25.83 tff(25495,plain,
% 39.40/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25496,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25497,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 39.40/25.83 tff(25498,plain,
% 39.40/25.83 (v135(constB9) | (~v137(constB10))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25497, 17043, 1644])).
% 39.40/25.83 tff(25499,plain,
% 39.40/25.83 (~v137(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25498, 25494])).
% 39.40/25.83 tff(25500,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB10) | (~v138(constB10)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB10) | (~v138(constB10)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25501,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB10) | (~v138(constB10)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25502,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB10) | (~v138(constB10))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25501, 25500])).
% 39.40/25.83 tff(25503,plain,
% 39.40/25.83 (~v138(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25502, 17055, 25499])).
% 39.40/25.83 tff(25504,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB10)) | (~v141(constB10)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB10)) | (~v141(constB10)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25505,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB10)) | (~v141(constB10)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25506,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB10)) | (~v141(constB10))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25505, 25504])).
% 39.40/25.83 tff(25507,plain,
% 39.40/25.83 (~v141(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25506, 17066, 1664])).
% 39.40/25.83 tff(25508,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB10) | (~v144(constB10)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB10) | (~v144(constB10)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25509,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB10) | (~v144(constB10)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25510,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB10) | (~v144(constB10))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25509, 25508])).
% 39.40/25.83 tff(25511,plain,
% 39.40/25.83 (~v144(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25510, 17077, 25507])).
% 39.40/25.83 tff(25512,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB10) | (~v142(constB10)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB10) | (~v142(constB10)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25513,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB10) | (~v142(constB10)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25514,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB10) | (~v142(constB10))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25513, 25512])).
% 39.40/25.83 tff(25515,plain,
% 39.40/25.83 (~v142(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25514, 17014, 25511])).
% 39.40/25.83 tff(25516,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB10) | v142(constB10) | (~v135(constB10)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB10) | v142(constB10) | (~v135(constB10)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25517,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB10) | v142(constB10) | (~v135(constB10)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25518,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB10) | v142(constB10) | (~v135(constB10))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25517, 25516])).
% 39.40/25.83 tff(25519,plain,
% 39.40/25.83 (v138(constB10) | (~v135(constB10))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25518, 17028, 25515])).
% 39.40/25.83 tff(25520,plain,
% 39.40/25.83 (~v135(constB10)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25519, 25503])).
% 39.40/25.83 tff(25521,plain,
% 39.40/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25522,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25523,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25522, 25521])).
% 39.40/25.83 tff(25524,plain,
% 39.40/25.83 (v135(constB10) | (~v137(constB11))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25523, 17043, 1719])).
% 39.40/25.83 tff(25525,plain,
% 39.40/25.83 (~v137(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25524, 25520])).
% 39.40/25.83 tff(25526,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB11) | (~v154(constB11)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB11) | (~v154(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25527,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB11) | (~v154(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25528,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB11) | (~v154(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25527, 25526])).
% 39.40/25.83 tff(25529,plain,
% 39.40/25.83 (~v154(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25528, 17105, 25525])).
% 39.40/25.83 tff(25530,assumption,(v18(constB12)), introduced(assumption)).
% 39.40/25.83 tff(25531,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB12))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25532,plain,
% 39.40/25.83 ($false),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25531, 8, 25530])).
% 39.40/25.83 tff(25533,plain,(~v18(constB12)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.83 tff(25534,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25535,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25536,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25535, 25534])).
% 39.40/25.83 tff(25537,plain,
% 39.40/25.83 (v22(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25536, 21, 1894])).
% 39.40/25.83 tff(25538,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB12)) | (~v22(constB12)) | v18(constB12))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB12)) | (~v22(constB12)) | v18(constB12))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25539,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB12)) | (~v22(constB12)) | v18(constB12))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25540,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB12)) | (~v22(constB12)) | v18(constB12)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25539, 25538])).
% 39.40/25.83 tff(25541,plain,
% 39.40/25.83 ((~v19(constB12)) | v18(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25540, 35, 25537])).
% 39.40/25.83 tff(25542,plain,
% 39.40/25.83 (~v19(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25541, 25533])).
% 39.40/25.83 tff(25543,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25544,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25545,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25544, 25543])).
% 39.40/25.83 tff(25546,plain,
% 39.40/25.83 (v13(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25545, 50, 25542])).
% 39.40/25.83 tff(25547,plain,
% 39.40/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25548,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25549,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25548, 25547])).
% 39.40/25.83 tff(25550,plain,
% 39.40/25.83 ((~v13(constB12)) | v9(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25549, 67, 1874])).
% 39.40/25.83 tff(25551,plain,
% 39.40/25.83 (v9(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25550, 25546])).
% 39.40/25.83 tff(25552,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v141(constB11))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB11) | (~v9(constB11)) | v141(constB11))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25553,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v141(constB11))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25554,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB11) | (~v9(constB11)) | v141(constB11)),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25553, 25552])).
% 39.40/25.83 tff(25555,plain,
% 39.40/25.83 ((~v9(constB11)) | v141(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25554, 85, 1716])).
% 39.40/25.83 tff(25556,plain,
% 39.40/25.83 (v141(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25555, 25551])).
% 39.40/25.83 tff(25557,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB11) | (~v141(constB11)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB11) | (~v141(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25558,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB11) | (~v141(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25559,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB11) | (~v141(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25558, 25557])).
% 39.40/25.83 tff(25560,plain,
% 39.40/25.83 (v140(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25559, 97, 25556])).
% 39.40/25.83 tff(25561,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB11)) | (~v153(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB11)) | (~v153(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25562,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB11)) | (~v153(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25563,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB11)) | (~v153(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25562, 25561])).
% 39.40/25.83 tff(25564,plain,
% 39.40/25.83 (~v153(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25563, 17156, 25560])).
% 39.40/25.83 tff(25565,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB11) | v154(constB11) | (~v150(constB11)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB11) | v154(constB11) | (~v150(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25566,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB11) | v154(constB11) | (~v150(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25567,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB11) | v154(constB11) | (~v150(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25566, 25565])).
% 39.40/25.83 tff(25568,plain,
% 39.40/25.83 (v154(constB11) | (~v150(constB11))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25567, 17170, 25564])).
% 39.40/25.83 tff(25569,plain,
% 39.40/25.83 (~v150(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25568, 25529])).
% 39.40/25.83 tff(25570,plain,
% 39.40/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25571,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25572,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25571, 25570])).
% 39.40/25.83 tff(25573,plain,
% 39.40/25.83 (v150(constB11) | (~v152(constB12))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25572, 17185, 1874])).
% 39.40/25.83 tff(25574,plain,
% 39.40/25.83 (~v152(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25573, 25569])).
% 39.40/25.83 tff(25575,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB12) | (~v153(constB12)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB12) | (~v153(constB12)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25576,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB12) | (~v153(constB12)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25577,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB12) | (~v153(constB12))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25576, 25575])).
% 39.40/25.83 tff(25578,plain,
% 39.40/25.83 (~v153(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25577, 17197, 25574])).
% 39.40/25.83 tff(25579,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB12)) | (~v141(constB12)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB12)) | (~v141(constB12)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25580,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB12)) | (~v141(constB12)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25581,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB12)) | (~v141(constB12))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25580, 25579])).
% 39.40/25.83 tff(25582,plain,
% 39.40/25.83 (~v141(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25581, 17066, 1894])).
% 39.40/25.83 tff(25583,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB12) | (~v155(constB12)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB12) | (~v155(constB12)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25584,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB12) | (~v155(constB12)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25585,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB12) | (~v155(constB12))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25584, 25583])).
% 39.40/25.83 tff(25586,plain,
% 39.40/25.83 (~v155(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25585, 17212, 25582])).
% 39.40/25.83 tff(25587,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB12) | (~v154(constB12)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB12) | (~v154(constB12)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25588,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB12) | (~v154(constB12)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25589,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB12) | (~v154(constB12))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25588, 25587])).
% 39.40/25.83 tff(25590,plain,
% 39.40/25.83 (~v154(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25589, 17223, 25586])).
% 39.40/25.83 tff(25591,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB12) | v154(constB12) | (~v150(constB12)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB12) | v154(constB12) | (~v150(constB12)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25592,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB12) | v154(constB12) | (~v150(constB12)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25593,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB12) | v154(constB12) | (~v150(constB12))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25592, 25591])).
% 39.40/25.83 tff(25594,plain,
% 39.40/25.83 (v153(constB12) | (~v150(constB12))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25593, 17170, 25590])).
% 39.40/25.83 tff(25595,plain,
% 39.40/25.83 (~v150(constB12)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25594, 25578])).
% 39.40/25.83 tff(25596,plain,
% 39.40/25.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25597,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25598,plain,
% 39.40/25.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25597, 25596])).
% 39.40/25.83 tff(25599,plain,
% 39.40/25.83 (v150(constB12) | (~v152(constB13))),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25598, 17185, 1946])).
% 39.40/25.83 tff(25600,plain,
% 39.40/25.83 (~v152(constB13)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25599, 25595])).
% 39.40/25.83 tff(25601,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB13) | (~v153(constB13)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB13) | (~v153(constB13)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25602,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB13) | (~v153(constB13)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25603,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB13) | (~v153(constB13))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25602, 25601])).
% 39.40/25.83 tff(25604,plain,
% 39.40/25.83 (~v153(constB13)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25603, 17197, 25600])).
% 39.40/25.83 tff(25605,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB11, bitIndex1)) | (~v145(constB11)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB11, bitIndex1)) | (~v145(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25606,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB11, bitIndex1)) | (~v145(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25607,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB11, bitIndex1)) | (~v145(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25606, 25605])).
% 39.40/25.83 tff(25608,plain,
% 39.40/25.83 (~v145(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25607, 1116, 1781])).
% 39.40/25.83 tff(25609,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB11) | (~v144(constB11)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB11) | (~v144(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25610,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB11) | (~v144(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25611,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB11) | (~v144(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25610, 25609])).
% 39.40/25.83 tff(25612,plain,
% 39.40/25.83 (~v144(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25611, 17003, 25608])).
% 39.40/25.83 tff(25613,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB11) | (~v142(constB11)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB11) | (~v142(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25614,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB11) | (~v142(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25615,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB11) | (~v142(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25614, 25613])).
% 39.40/25.83 tff(25616,plain,
% 39.40/25.83 (~v142(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25615, 17014, 25612])).
% 39.40/25.83 tff(25617,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB11)) | (~v140(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB11)) | (~v140(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25618,plain,
% 39.40/25.83 (((~v140(constB11)) | (~v138(constB11))) <=> ((~v138(constB11)) | (~v140(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25619,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB11)) | (~v138(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB11)) | (~v140(constB11))))),
% 39.40/25.83 inference(monotonicity,[status(thm)],[25618])).
% 39.40/25.83 tff(25620,plain,
% 39.40/25.83 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB11)) | (~v138(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB11)) | (~v140(constB11)))),
% 39.40/25.83 inference(transitivity,[status(thm)],[25619, 25617])).
% 39.40/25.83 tff(25621,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB11)) | (~v138(constB11)))),
% 39.40/25.83 inference(quant_inst,[status(thm)],[])).
% 39.40/25.83 tff(25622,plain,
% 39.40/25.83 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB11)) | (~v140(constB11))),
% 39.40/25.83 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 39.40/25.83 tff(25623,plain,
% 39.40/25.83 (~v138(constB11)),
% 39.40/25.83 inference(unit_resolution,[status(thm)],[25622, 108, 25560])).
% 39.40/25.83 tff(25624,plain,
% 39.40/25.83 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB11) | v142(constB11) | (~v135(constB11)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB11) | v142(constB11) | (~v135(constB11)))),
% 39.40/25.83 inference(rewrite,[status(thm)],[])).
% 39.40/25.83 tff(25625,plain,
% 39.40/25.83 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB11) | v142(constB11) | (~v135(constB11)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25626,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB11) | v142(constB11) | (~v135(constB11))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25625, 25624])).
% 39.40/25.84 tff(25627,plain,
% 39.40/25.84 (v142(constB11) | (~v135(constB11))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25626, 17028, 25623])).
% 39.40/25.84 tff(25628,plain,
% 39.40/25.84 (~v135(constB11)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25627, 25616])).
% 39.40/25.84 tff(25629,plain,
% 39.40/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25630,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25631,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25630, 25629])).
% 39.40/25.84 tff(25632,plain,
% 39.40/25.84 (v135(constB11) | (~v137(constB12))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25631, 17043, 1874])).
% 39.40/25.84 tff(25633,plain,
% 39.40/25.84 (~v137(constB12)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25632, 25628])).
% 39.40/25.84 tff(25634,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB12) | (~v138(constB12)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB12) | (~v138(constB12)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25635,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB12) | (~v138(constB12)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25636,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB12) | (~v138(constB12))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25635, 25634])).
% 39.40/25.84 tff(25637,plain,
% 39.40/25.84 (~v138(constB12)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25636, 17055, 25633])).
% 39.40/25.84 tff(25638,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB12) | (~v144(constB12)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB12) | (~v144(constB12)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25639,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB12) | (~v144(constB12)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25640,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB12) | (~v144(constB12))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 39.40/25.84 tff(25641,plain,
% 39.40/25.84 (~v144(constB12)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25640, 17077, 25582])).
% 39.40/25.84 tff(25642,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB12) | (~v142(constB12)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB12) | (~v142(constB12)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25643,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB12) | (~v142(constB12)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25644,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB12) | (~v142(constB12))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25643, 25642])).
% 39.40/25.84 tff(25645,plain,
% 39.40/25.84 (~v142(constB12)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25644, 17014, 25641])).
% 39.40/25.84 tff(25646,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB12) | v142(constB12) | (~v135(constB12)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB12) | v142(constB12) | (~v135(constB12)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25647,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB12) | v142(constB12) | (~v135(constB12)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25648,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB12) | v142(constB12) | (~v135(constB12))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25647, 25646])).
% 39.40/25.84 tff(25649,plain,
% 39.40/25.84 (v138(constB12) | (~v135(constB12))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25648, 17028, 25645])).
% 39.40/25.84 tff(25650,plain,
% 39.40/25.84 (~v135(constB12)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25649, 25637])).
% 39.40/25.84 tff(25651,plain,
% 39.40/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25652,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25653,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25652, 25651])).
% 39.40/25.84 tff(25654,plain,
% 39.40/25.84 (v135(constB12) | (~v137(constB13))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25653, 17043, 1946])).
% 39.40/25.84 tff(25655,plain,
% 39.40/25.84 (~v137(constB13)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25654, 25650])).
% 39.40/25.84 tff(25656,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB13) | (~v154(constB13)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB13) | (~v154(constB13)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25657,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB13) | (~v154(constB13)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25658,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB13) | (~v154(constB13))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 39.40/25.84 tff(25659,plain,
% 39.40/25.84 (~v154(constB13)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25658, 17105, 25655])).
% 39.40/25.84 tff(25660,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB13) | v154(constB13) | (~v150(constB13)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB13) | v154(constB13) | (~v150(constB13)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25661,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB13) | v154(constB13) | (~v150(constB13)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25662,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB13) | v154(constB13) | (~v150(constB13))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25661, 25660])).
% 39.40/25.84 tff(25663,plain,
% 39.40/25.84 (v153(constB13) | (~v150(constB13))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25662, 17170, 25659])).
% 39.40/25.84 tff(25664,plain,
% 39.40/25.84 (~v150(constB13)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25663, 25604])).
% 39.40/25.84 tff(25665,plain,
% 39.40/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB13, constB14)) | v150(constB13) | (~v152(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB13, constB14)) | v150(constB13) | (~v152(constB14)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25666,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB13, constB14)) | v150(constB13) | (~v152(constB14)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25667,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB13, constB14)) | v150(constB13) | (~v152(constB14))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25666, 25665])).
% 39.40/25.84 tff(25668,plain,
% 39.40/25.84 (v150(constB13) | (~v152(constB14))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25667, 17185, 2086])).
% 39.40/25.84 tff(25669,plain,
% 39.40/25.84 (~v152(constB14)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25668, 25664])).
% 39.40/25.84 tff(25670,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB14) | (~v153(constB14)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB14) | (~v153(constB14)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25671,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB14) | (~v153(constB14)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25672,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB14) | (~v153(constB14))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25671, 25670])).
% 39.40/25.84 tff(25673,plain,
% 39.40/25.84 (~v153(constB14)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25672, 17197, 25669])).
% 39.40/25.84 tff(25674,plain,
% 39.40/25.84 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB14)) | (~v141(constB14)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB14)) | (~v141(constB14)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25675,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB14)) | (~v141(constB14)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25676,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB14)) | (~v141(constB14))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25675, 25674])).
% 39.40/25.84 tff(25677,plain,
% 39.40/25.84 (~v141(constB14)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25676, 17066, 2106])).
% 39.40/25.84 tff(25678,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB14) | (~v155(constB14)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB14) | (~v155(constB14)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25679,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB14) | (~v155(constB14)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25680,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB14) | (~v155(constB14))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25679, 25678])).
% 39.40/25.84 tff(25681,plain,
% 39.40/25.84 (~v155(constB14)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25680, 17212, 25677])).
% 39.40/25.84 tff(25682,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB14) | (~v154(constB14)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB14) | (~v154(constB14)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25683,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB14) | (~v154(constB14)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25684,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB14) | (~v154(constB14))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25683, 25682])).
% 39.40/25.84 tff(25685,plain,
% 39.40/25.84 (~v154(constB14)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25684, 17223, 25681])).
% 39.40/25.84 tff(25686,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB14) | v154(constB14) | (~v150(constB14)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB14) | v154(constB14) | (~v150(constB14)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25687,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB14) | v154(constB14) | (~v150(constB14)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25688,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB14) | v154(constB14) | (~v150(constB14))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25687, 25686])).
% 39.40/25.84 tff(25689,plain,
% 39.40/25.84 (v153(constB14) | (~v150(constB14))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25688, 17170, 25685])).
% 39.40/25.84 tff(25690,plain,
% 39.40/25.84 (~v150(constB14)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25689, 25673])).
% 39.40/25.84 tff(25691,plain,
% 39.40/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB14, constB15)) | v150(constB14) | (~v152(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB14, constB15)) | v150(constB14) | (~v152(constB15)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25692,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB14, constB15)) | v150(constB14) | (~v152(constB15)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25693,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB14, constB15)) | v150(constB14) | (~v152(constB15))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25692, 25691])).
% 39.40/25.84 tff(25694,plain,
% 39.40/25.84 (v150(constB14) | (~v152(constB15))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25693, 17185, 2148])).
% 39.40/25.84 tff(25695,plain,
% 39.40/25.84 (~v152(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25694, 25690])).
% 39.40/25.84 tff(25696,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB15) | (~v164(constB15)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB15) | (~v164(constB15)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25697,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB15) | (~v164(constB15)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25698,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB15) | (~v164(constB15))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25697, 25696])).
% 39.40/25.84 tff(25699,plain,
% 39.40/25.84 (~v164(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25698, 17247, 25695])).
% 39.40/25.84 tff(25700,assumption,(v18(constB16)), introduced(assumption)).
% 39.40/25.84 tff(25701,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB16))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25702,plain,
% 39.40/25.84 ($false),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25701, 8, 25700])).
% 39.40/25.84 tff(25703,plain,(~v18(constB16)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.84 tff(25704,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25705,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25706,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25705, 25704])).
% 39.40/25.84 tff(25707,plain,
% 39.40/25.84 (v22(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25706, 21, 2302])).
% 39.40/25.84 tff(25708,plain,
% 39.40/25.84 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB16)) | (~v22(constB16)) | v18(constB16))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB16)) | (~v22(constB16)) | v18(constB16))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25709,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB16)) | (~v22(constB16)) | v18(constB16))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25710,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB16)) | (~v22(constB16)) | v18(constB16)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25709, 25708])).
% 39.40/25.84 tff(25711,plain,
% 39.40/25.84 ((~v19(constB16)) | v18(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25710, 35, 25707])).
% 39.40/25.84 tff(25712,plain,
% 39.40/25.84 (~v19(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25711, 25703])).
% 39.40/25.84 tff(25713,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25714,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25715,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25714, 25713])).
% 39.40/25.84 tff(25716,plain,
% 39.40/25.84 (v13(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25715, 50, 25712])).
% 39.40/25.84 tff(25717,plain,
% 39.40/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25718,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25719,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25718, 25717])).
% 39.40/25.84 tff(25720,plain,
% 39.40/25.84 ((~v13(constB16)) | v9(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25719, 67, 2282])).
% 39.40/25.84 tff(25721,plain,
% 39.40/25.84 (v9(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25720, 25716])).
% 39.40/25.84 tff(25722,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v141(constB15))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB15) | (~v9(constB15)) | v141(constB15))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25723,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v141(constB15))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25724,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB15) | (~v9(constB15)) | v141(constB15)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25723, 25722])).
% 39.40/25.84 tff(25725,plain,
% 39.40/25.84 ((~v9(constB15)) | v141(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25724, 85, 2145])).
% 39.40/25.84 tff(25726,plain,
% 39.40/25.84 (v141(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25725, 25721])).
% 39.40/25.84 tff(25727,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB15) | (~v141(constB15)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB15) | (~v141(constB15)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25728,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB15) | (~v141(constB15)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25729,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB15) | (~v141(constB15))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25728, 25727])).
% 39.40/25.84 tff(25730,plain,
% 39.40/25.84 (v140(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25729, 97, 25726])).
% 39.40/25.84 tff(25731,plain,
% 39.40/25.84 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB15)) | (~v163(constB15)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB15)) | (~v163(constB15)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25732,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB15)) | (~v163(constB15)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25733,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB15)) | (~v163(constB15))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25732, 25731])).
% 39.40/25.84 tff(25734,plain,
% 39.40/25.84 (~v163(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25733, 17298, 25730])).
% 39.40/25.84 tff(25735,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB15)) | v163(constB15) | v164(constB15))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB15)) | v163(constB15) | v164(constB15))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25736,plain,
% 39.40/25.84 ((v164(constB15) | v163(constB15) | (~v160(constB15))) <=> ((~v160(constB15)) | v163(constB15) | v164(constB15))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25737,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB15) | v163(constB15) | (~v160(constB15)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB15)) | v163(constB15) | v164(constB15)))),
% 39.40/25.84 inference(monotonicity,[status(thm)],[25736])).
% 39.40/25.84 tff(25738,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB15) | v163(constB15) | (~v160(constB15)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB15)) | v163(constB15) | v164(constB15))),
% 39.40/25.84 inference(transitivity,[status(thm)],[25737, 25735])).
% 39.40/25.84 tff(25739,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB15) | v163(constB15) | (~v160(constB15)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25740,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB15)) | v163(constB15) | v164(constB15)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25739, 25738])).
% 39.40/25.84 tff(25741,plain,
% 39.40/25.84 ((~v160(constB15)) | v164(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25740, 17312, 25734])).
% 39.40/25.84 tff(25742,plain,
% 39.40/25.84 (~v160(constB15)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25741, 25699])).
% 39.40/25.84 tff(25743,plain,
% 39.40/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB15, constB16)) | v160(constB15) | (~v162(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB15, constB16)) | v160(constB15) | (~v162(constB16)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25744,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB15, constB16)) | v160(constB15) | (~v162(constB16)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25745,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB15, constB16)) | v160(constB15) | (~v162(constB16))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25744, 25743])).
% 39.40/25.84 tff(25746,plain,
% 39.40/25.84 (v160(constB15) | (~v162(constB16))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25745, 17330, 2282])).
% 39.40/25.84 tff(25747,plain,
% 39.40/25.84 (~v162(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25746, 25742])).
% 39.40/25.84 tff(25748,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB16) | (~v163(constB16)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB16) | (~v163(constB16)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25749,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB16) | (~v163(constB16)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25750,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB16) | (~v163(constB16))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25749, 25748])).
% 39.40/25.84 tff(25751,plain,
% 39.40/25.84 (~v163(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25750, 17342, 25747])).
% 39.40/25.84 tff(25752,plain,
% 39.40/25.84 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB16)) | (~v141(constB16)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB16)) | (~v141(constB16)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25753,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB16)) | (~v141(constB16)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25754,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB16)) | (~v141(constB16))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25753, 25752])).
% 39.40/25.84 tff(25755,plain,
% 39.40/25.84 (~v141(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25754, 17066, 2302])).
% 39.40/25.84 tff(25756,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB16) | (~v155(constB16)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB16) | (~v155(constB16)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25757,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB16) | (~v155(constB16)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25758,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB16) | (~v155(constB16))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25757, 25756])).
% 39.40/25.84 tff(25759,plain,
% 39.40/25.84 (~v155(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25758, 17212, 25755])).
% 39.40/25.84 tff(25760,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB16) | (~v164(constB16)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB16) | (~v164(constB16)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25761,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB16) | (~v164(constB16)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25762,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB16) | (~v164(constB16))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25761, 25760])).
% 39.40/25.84 tff(25763,plain,
% 39.40/25.84 (~v164(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25762, 17361, 25759])).
% 39.40/25.84 tff(25764,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB16)) | v164(constB16) | v163(constB16))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB16)) | v164(constB16) | v163(constB16))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25765,plain,
% 39.40/25.84 ((v164(constB16) | v163(constB16) | (~v160(constB16))) <=> ((~v160(constB16)) | v164(constB16) | v163(constB16))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25766,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB16) | v163(constB16) | (~v160(constB16)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB16)) | v164(constB16) | v163(constB16)))),
% 39.40/25.84 inference(monotonicity,[status(thm)],[25765])).
% 39.40/25.84 tff(25767,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB16) | v163(constB16) | (~v160(constB16)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB16)) | v164(constB16) | v163(constB16))),
% 39.40/25.84 inference(transitivity,[status(thm)],[25766, 25764])).
% 39.40/25.84 tff(25768,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB16) | v163(constB16) | (~v160(constB16)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25769,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB16)) | v164(constB16) | v163(constB16)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25768, 25767])).
% 39.40/25.84 tff(25770,plain,
% 39.40/25.84 ((~v160(constB16)) | v163(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25769, 17312, 25763])).
% 39.40/25.84 tff(25771,plain,
% 39.40/25.84 (~v160(constB16)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25770, 25751])).
% 39.40/25.84 tff(25772,plain,
% 39.40/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB16, constB17)) | v160(constB16) | (~v162(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB16, constB17)) | v160(constB16) | (~v162(constB17)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25773,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB16, constB17)) | v160(constB16) | (~v162(constB17)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25774,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB16, constB17)) | v160(constB16) | (~v162(constB17))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25773, 25772])).
% 39.40/25.84 tff(25775,plain,
% 39.40/25.84 (v160(constB16) | (~v162(constB17))),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25774, 17330, 2396])).
% 39.40/25.84 tff(25776,plain,
% 39.40/25.84 (~v162(constB17)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25775, 25771])).
% 39.40/25.84 tff(25777,plain,
% 39.40/25.84 ($false),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25776, 25439])).
% 39.40/25.84 tff(25778,plain,(~(constB17 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.84 tff(25779,assumption,(constB161 = sK0_VarCurr), introduced(assumption)).
% 39.40/25.84 tff(25780,plain,
% 39.40/25.84 (v162(constB161) <=> v162(sK0_VarCurr)),
% 39.40/25.84 inference(monotonicity,[status(thm)],[25779])).
% 39.40/25.84 tff(25781,plain,
% 39.40/25.84 (v162(sK0_VarCurr) <=> v162(constB161)),
% 39.40/25.84 inference(symmetry,[status(thm)],[25780])).
% 39.40/25.84 tff(25782,plain,
% 39.40/25.84 (v162(constB161)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[17398, 25781])).
% 39.40/25.84 tff(25783,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB155) | (~v144(constB155)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB155) | (~v144(constB155)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25784,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB155) | (~v144(constB155)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25785,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB155) | (~v144(constB155))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25784, 25783])).
% 39.40/25.84 tff(25786,plain,
% 39.40/25.84 (~v144(constB155)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25785, 17003, 18428])).
% 39.40/25.84 tff(25787,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB155) | (~v142(constB155)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25788,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB155) | (~v142(constB155)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25789,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB155) | (~v142(constB155))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25788, 25787])).
% 39.40/25.84 tff(25790,plain,
% 39.40/25.84 (~v142(constB155)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25789, 17014, 25786])).
% 39.40/25.84 tff(25791,assumption,(v18(constB156)), introduced(assumption)).
% 39.40/25.84 tff(25792,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB156))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25793,plain,
% 39.40/25.84 ($false),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25792, 8, 25791])).
% 39.40/25.84 tff(25794,plain,(~v18(constB156)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.84 tff(25795,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25796,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25797,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25796, 25795])).
% 39.40/25.84 tff(25798,plain,
% 39.40/25.84 (v22(constB156)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25797, 21, 18394])).
% 39.40/25.84 tff(25799,plain,
% 39.40/25.84 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25800,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25801,plain,
% 39.40/25.84 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 39.40/25.84 tff(25802,plain,
% 39.40/25.84 ((~v19(constB156)) | v18(constB156)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25801, 35, 25798])).
% 39.40/25.84 tff(25803,plain,
% 39.40/25.84 (~v19(constB156)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25802, 25794])).
% 39.40/25.84 tff(25804,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25805,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25806,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25805, 25804])).
% 39.40/25.84 tff(25807,plain,
% 39.40/25.84 (v13(constB156)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25806, 50, 25803])).
% 39.40/25.84 tff(25808,plain,
% 39.40/25.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25809,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25810,plain,
% 39.40/25.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25809, 25808])).
% 39.40/25.84 tff(25811,plain,
% 39.40/25.84 ((~v13(constB156)) | v9(constB155)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25810, 67, 18374])).
% 39.40/25.84 tff(25812,plain,
% 39.40/25.84 (v9(constB155)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25811, 25807])).
% 39.40/25.84 tff(25813,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v141(constB155))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB155) | (~v9(constB155)) | v141(constB155))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25814,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v141(constB155))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25815,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB155) | (~v9(constB155)) | v141(constB155)),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25814, 25813])).
% 39.40/25.84 tff(25816,plain,
% 39.40/25.84 ((~v9(constB155)) | v141(constB155)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25815, 85, 18218])).
% 39.40/25.84 tff(25817,plain,
% 39.40/25.84 (v141(constB155)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25816, 25812])).
% 39.40/25.84 tff(25818,plain,
% 39.40/25.84 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB155) | (~v141(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB155) | (~v141(constB155)))),
% 39.40/25.84 inference(rewrite,[status(thm)],[])).
% 39.40/25.84 tff(25819,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB155) | (~v141(constB155)))),
% 39.40/25.84 inference(quant_inst,[status(thm)],[])).
% 39.40/25.84 tff(25820,plain,
% 39.40/25.84 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB155) | (~v141(constB155))),
% 39.40/25.84 inference(modus_ponens,[status(thm)],[25819, 25818])).
% 39.40/25.84 tff(25821,plain,
% 39.40/25.84 (v140(constB155)),
% 39.40/25.84 inference(unit_resolution,[status(thm)],[25820, 97, 25817])).
% 39.40/25.84 tff(25822,plain,
% 39.40/25.84 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB155)) | (~v138(constB155)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB155)) | (~v138(constB155)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25823,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB155)) | (~v138(constB155)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25824,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB155)) | (~v138(constB155))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25823, 25822])).
% 39.40/25.85 tff(25825,plain,
% 39.40/25.85 (~v138(constB155)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25824, 108, 25821])).
% 39.40/25.85 tff(25826,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB155) | v142(constB155) | (~v135(constB155)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB155) | v142(constB155) | (~v135(constB155)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25827,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB155) | v142(constB155) | (~v135(constB155)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25828,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB155) | v142(constB155) | (~v135(constB155))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25827, 25826])).
% 39.40/25.85 tff(25829,plain,
% 39.40/25.85 (v142(constB155) | (~v135(constB155))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25828, 17028, 25825])).
% 39.40/25.85 tff(25830,plain,
% 39.40/25.85 (~v135(constB155)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25829, 25790])).
% 39.40/25.85 tff(25831,plain,
% 39.40/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25832,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25833,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25832, 25831])).
% 39.40/25.85 tff(25834,plain,
% 39.40/25.85 (v135(constB155) | (~v137(constB156))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25833, 17043, 18374])).
% 39.40/25.85 tff(25835,plain,
% 39.40/25.85 (~v137(constB156)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25834, 25830])).
% 39.40/25.85 tff(25836,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB156) | (~v138(constB156)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB156) | (~v138(constB156)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25837,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB156) | (~v138(constB156)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25838,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB156) | (~v138(constB156))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25837, 25836])).
% 39.40/25.85 tff(25839,plain,
% 39.40/25.85 (~v138(constB156)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25838, 17055, 25835])).
% 39.40/25.85 tff(25840,plain,
% 39.40/25.85 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB156)) | (~v141(constB156)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB156)) | (~v141(constB156)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25841,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB156)) | (~v141(constB156)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25842,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB156)) | (~v141(constB156))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25841, 25840])).
% 39.40/25.85 tff(25843,plain,
% 39.40/25.85 (~v141(constB156)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25842, 17066, 18394])).
% 39.40/25.85 tff(25844,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB156) | (~v144(constB156)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB156) | (~v144(constB156)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25845,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB156) | (~v144(constB156)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25846,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB156) | (~v144(constB156))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 39.40/25.85 tff(25847,plain,
% 39.40/25.85 (~v144(constB156)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25846, 17077, 25843])).
% 39.40/25.85 tff(25848,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB156) | (~v142(constB156)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB156) | (~v142(constB156)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25849,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB156) | (~v142(constB156)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25850,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB156) | (~v142(constB156))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25849, 25848])).
% 39.40/25.85 tff(25851,plain,
% 39.40/25.85 (~v142(constB156)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25850, 17014, 25847])).
% 39.40/25.85 tff(25852,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB156) | v142(constB156) | (~v135(constB156)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB156) | v142(constB156) | (~v135(constB156)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25853,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB156) | v142(constB156) | (~v135(constB156)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25854,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB156) | v142(constB156) | (~v135(constB156))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25853, 25852])).
% 39.40/25.85 tff(25855,plain,
% 39.40/25.85 (v138(constB156) | (~v135(constB156))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25854, 17028, 25851])).
% 39.40/25.85 tff(25856,plain,
% 39.40/25.85 (~v135(constB156)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25855, 25839])).
% 39.40/25.85 tff(25857,plain,
% 39.40/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25858,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25859,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 39.40/25.85 tff(25860,plain,
% 39.40/25.85 (v135(constB156) | (~v137(constB157))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25859, 17043, 18467])).
% 39.40/25.85 tff(25861,plain,
% 39.40/25.85 (~v137(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25860, 25856])).
% 39.40/25.85 tff(25862,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB157) | (~v154(constB157)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB157) | (~v154(constB157)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25863,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB157) | (~v154(constB157)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25864,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB157) | (~v154(constB157))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25863, 25862])).
% 39.40/25.85 tff(25865,plain,
% 39.40/25.85 (~v154(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25864, 17105, 25861])).
% 39.40/25.85 tff(25866,assumption,(v18(constB158)), introduced(assumption)).
% 39.40/25.85 tff(25867,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB158))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25868,plain,
% 39.40/25.85 ($false),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25867, 8, 25866])).
% 39.40/25.85 tff(25869,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.85 tff(25870,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25871,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25872,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25871, 25870])).
% 39.40/25.85 tff(25873,plain,
% 39.40/25.85 (v22(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25872, 21, 18628])).
% 39.40/25.85 tff(25874,plain,
% 39.40/25.85 (((~![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))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25875,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25876,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158)),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25875, 25874])).
% 39.40/25.85 tff(25877,plain,
% 39.40/25.85 ((~v19(constB158)) | v18(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25876, 35, 25873])).
% 39.40/25.85 tff(25878,plain,
% 39.40/25.85 (~v19(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25877, 25869])).
% 39.40/25.85 tff(25879,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25880,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25881,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25880, 25879])).
% 39.40/25.85 tff(25882,plain,
% 39.40/25.85 (v13(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25881, 50, 25878])).
% 39.40/25.85 tff(25883,plain,
% 39.40/25.85 (((~![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))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25884,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25885,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157)),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25884, 25883])).
% 39.40/25.85 tff(25886,plain,
% 39.40/25.85 ((~v13(constB158)) | v9(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25885, 67, 18608])).
% 39.40/25.85 tff(25887,plain,
% 39.40/25.85 (v9(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25886, 25882])).
% 39.40/25.85 tff(25888,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v141(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB157) | (~v9(constB157)) | v141(constB157))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25889,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v141(constB157))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25890,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB157) | (~v9(constB157)) | v141(constB157)),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25889, 25888])).
% 39.40/25.85 tff(25891,plain,
% 39.40/25.85 ((~v9(constB157)) | v141(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25890, 85, 18464])).
% 39.40/25.85 tff(25892,plain,
% 39.40/25.85 (v141(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25891, 25887])).
% 39.40/25.85 tff(25893,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB157) | (~v141(constB157)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB157) | (~v141(constB157)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25894,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB157) | (~v141(constB157)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25895,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB157) | (~v141(constB157))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25894, 25893])).
% 39.40/25.85 tff(25896,plain,
% 39.40/25.85 (v140(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25895, 97, 25892])).
% 39.40/25.85 tff(25897,plain,
% 39.40/25.85 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB157)) | (~v153(constB157)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB157)) | (~v153(constB157)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25898,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB157)) | (~v153(constB157)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25899,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB157)) | (~v153(constB157))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25898, 25897])).
% 39.40/25.85 tff(25900,plain,
% 39.40/25.85 (~v153(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25899, 17156, 25896])).
% 39.40/25.85 tff(25901,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB157) | v154(constB157) | (~v150(constB157)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB157) | v154(constB157) | (~v150(constB157)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25902,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB157) | v154(constB157) | (~v150(constB157)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25903,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB157) | v154(constB157) | (~v150(constB157))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25902, 25901])).
% 39.40/25.85 tff(25904,plain,
% 39.40/25.85 (v154(constB157) | (~v150(constB157))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25903, 17170, 25900])).
% 39.40/25.85 tff(25905,plain,
% 39.40/25.85 (~v150(constB157)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25904, 25865])).
% 39.40/25.85 tff(25906,plain,
% 39.40/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB157, constB158)) | v150(constB157) | (~v152(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB157, constB158)) | v150(constB157) | (~v152(constB158)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25907,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB157, constB158)) | v150(constB157) | (~v152(constB158)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25908,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB157, constB158)) | v150(constB157) | (~v152(constB158))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25907, 25906])).
% 39.40/25.85 tff(25909,plain,
% 39.40/25.85 (v150(constB157) | (~v152(constB158))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25908, 17185, 18608])).
% 39.40/25.85 tff(25910,plain,
% 39.40/25.85 (~v152(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25909, 25905])).
% 39.40/25.85 tff(25911,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB158) | (~v153(constB158)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB158) | (~v153(constB158)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25912,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB158) | (~v153(constB158)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25913,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB158) | (~v153(constB158))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 39.40/25.85 tff(25914,plain,
% 39.40/25.85 (~v153(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25913, 17197, 25910])).
% 39.40/25.85 tff(25915,plain,
% 39.40/25.85 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB158)) | (~v141(constB158)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB158)) | (~v141(constB158)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25916,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB158)) | (~v141(constB158)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25917,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB158)) | (~v141(constB158))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25916, 25915])).
% 39.40/25.85 tff(25918,plain,
% 39.40/25.85 (~v141(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25917, 17066, 18628])).
% 39.40/25.85 tff(25919,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB158) | (~v155(constB158)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB158) | (~v155(constB158)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25920,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB158) | (~v155(constB158)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25921,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB158) | (~v155(constB158))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25920, 25919])).
% 39.40/25.85 tff(25922,plain,
% 39.40/25.85 (~v155(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25921, 17212, 25918])).
% 39.40/25.85 tff(25923,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB158) | (~v154(constB158)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB158) | (~v154(constB158)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25924,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB158) | (~v154(constB158)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25925,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB158) | (~v154(constB158))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25924, 25923])).
% 39.40/25.85 tff(25926,plain,
% 39.40/25.85 (~v154(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25925, 17223, 25922])).
% 39.40/25.85 tff(25927,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB158) | v154(constB158) | (~v150(constB158)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB158) | v154(constB158) | (~v150(constB158)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25928,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB158) | v154(constB158) | (~v150(constB158)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25929,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB158) | v154(constB158) | (~v150(constB158))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 39.40/25.85 tff(25930,plain,
% 39.40/25.85 (v153(constB158) | (~v150(constB158))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25929, 17170, 25926])).
% 39.40/25.85 tff(25931,plain,
% 39.40/25.85 (~v150(constB158)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25930, 25914])).
% 39.40/25.85 tff(25932,plain,
% 39.40/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB158, constB159)) | v150(constB158) | (~v152(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB158, constB159)) | v150(constB158) | (~v152(constB159)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25933,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB158, constB159)) | v150(constB158) | (~v152(constB159)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25934,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB158, constB159)) | v150(constB158) | (~v152(constB159))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25933, 25932])).
% 39.40/25.85 tff(25935,plain,
% 39.40/25.85 (v150(constB158) | (~v152(constB159))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25934, 17185, 18673])).
% 39.40/25.85 tff(25936,plain,
% 39.40/25.85 (~v152(constB159)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25935, 25931])).
% 39.40/25.85 tff(25937,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB159) | (~v164(constB159)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB159) | (~v164(constB159)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25938,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB159) | (~v164(constB159)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25939,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB159) | (~v164(constB159))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25938, 25937])).
% 39.40/25.85 tff(25940,plain,
% 39.40/25.85 (~v164(constB159)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25939, 17247, 25936])).
% 39.40/25.85 tff(25941,plain,
% 39.40/25.85 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB159)) | (~v163(constB159)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB159)) | (~v163(constB159)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25942,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB159)) | (~v163(constB159)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25943,plain,
% 39.40/25.85 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB159)) | (~v163(constB159))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 39.40/25.85 tff(25944,plain,
% 39.40/25.85 (~v163(constB159)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25943, 17298, 24427])).
% 39.40/25.85 tff(25945,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB159)) | v163(constB159) | v164(constB159))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB159)) | v163(constB159) | v164(constB159))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25946,plain,
% 39.40/25.85 ((v164(constB159) | v163(constB159) | (~v160(constB159))) <=> ((~v160(constB159)) | v163(constB159) | v164(constB159))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25947,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB159) | v163(constB159) | (~v160(constB159)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB159)) | v163(constB159) | v164(constB159)))),
% 39.40/25.85 inference(monotonicity,[status(thm)],[25946])).
% 39.40/25.85 tff(25948,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB159) | v163(constB159) | (~v160(constB159)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB159)) | v163(constB159) | v164(constB159))),
% 39.40/25.85 inference(transitivity,[status(thm)],[25947, 25945])).
% 39.40/25.85 tff(25949,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB159) | v163(constB159) | (~v160(constB159)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25950,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB159)) | v163(constB159) | v164(constB159)),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25949, 25948])).
% 39.40/25.85 tff(25951,plain,
% 39.40/25.85 ((~v160(constB159)) | v164(constB159)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25950, 17312, 25944])).
% 39.40/25.85 tff(25952,plain,
% 39.40/25.85 (~v160(constB159)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25951, 25940])).
% 39.40/25.85 tff(25953,plain,
% 39.40/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB159, constB160)) | v160(constB159) | (~v162(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB159, constB160)) | v160(constB159) | (~v162(constB160)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25954,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB159, constB160)) | v160(constB159) | (~v162(constB160)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25955,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB159, constB160)) | v160(constB159) | (~v162(constB160))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25954, 25953])).
% 39.40/25.85 tff(25956,plain,
% 39.40/25.85 (v160(constB159) | (~v162(constB160))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25955, 17330, 18806])).
% 39.40/25.85 tff(25957,plain,
% 39.40/25.85 (~v162(constB160)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25956, 25952])).
% 39.40/25.85 tff(25958,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB160) | (~v163(constB160)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB160) | (~v163(constB160)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25959,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB160) | (~v163(constB160)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25960,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB160) | (~v163(constB160))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25959, 25958])).
% 39.40/25.85 tff(25961,plain,
% 39.40/25.85 (~v163(constB160)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25960, 17342, 25957])).
% 39.40/25.85 tff(25962,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB160) | (~v155(constB160)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB160) | (~v155(constB160)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25963,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB160) | (~v155(constB160)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25964,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB160) | (~v155(constB160))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25963, 25962])).
% 39.40/25.85 tff(25965,plain,
% 39.40/25.85 (~v155(constB160)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25964, 17212, 24452])).
% 39.40/25.85 tff(25966,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB160) | (~v164(constB160)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB160) | (~v164(constB160)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25967,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB160) | (~v164(constB160)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25968,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB160) | (~v164(constB160))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25967, 25966])).
% 39.40/25.85 tff(25969,plain,
% 39.40/25.85 (~v164(constB160)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25968, 17361, 25965])).
% 39.40/25.85 tff(25970,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB160)) | v164(constB160) | v163(constB160))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB160)) | v164(constB160) | v163(constB160))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25971,plain,
% 39.40/25.85 ((v164(constB160) | v163(constB160) | (~v160(constB160))) <=> ((~v160(constB160)) | v164(constB160) | v163(constB160))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25972,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB160) | v163(constB160) | (~v160(constB160)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB160)) | v164(constB160) | v163(constB160)))),
% 39.40/25.85 inference(monotonicity,[status(thm)],[25971])).
% 39.40/25.85 tff(25973,plain,
% 39.40/25.85 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB160) | v163(constB160) | (~v160(constB160)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB160)) | v164(constB160) | v163(constB160))),
% 39.40/25.85 inference(transitivity,[status(thm)],[25972, 25970])).
% 39.40/25.85 tff(25974,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB160) | v163(constB160) | (~v160(constB160)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25975,plain,
% 39.40/25.85 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB160)) | v164(constB160) | v163(constB160)),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 39.40/25.85 tff(25976,plain,
% 39.40/25.85 ((~v160(constB160)) | v163(constB160)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25975, 17312, 25969])).
% 39.40/25.85 tff(25977,plain,
% 39.40/25.85 (~v160(constB160)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25976, 25961])).
% 39.40/25.85 tff(25978,plain,
% 39.40/25.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB160, constB161)) | v160(constB160) | (~v162(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB160, constB161)) | v160(constB160) | (~v162(constB161)))),
% 39.40/25.85 inference(rewrite,[status(thm)],[])).
% 39.40/25.85 tff(25979,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB160, constB161)) | v160(constB160) | (~v162(constB161)))),
% 39.40/25.85 inference(quant_inst,[status(thm)],[])).
% 39.40/25.85 tff(25980,plain,
% 39.40/25.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB160, constB161)) | v160(constB160) | (~v162(constB161))),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[25979, 25978])).
% 39.40/25.85 tff(25981,plain,
% 39.40/25.85 (v160(constB160) | (~v162(constB161))),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25980, 17330, 18875])).
% 39.40/25.85 tff(25982,plain,
% 39.40/25.85 (~v162(constB161)),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25981, 25977])).
% 39.40/25.85 tff(25983,plain,
% 39.40/25.85 ($false),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[25982, 25782])).
% 39.40/25.85 tff(25984,plain,(~(constB161 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.85 tff(25985,assumption,(constB130 = sK0_VarCurr), introduced(assumption)).
% 39.40/25.85 tff(25986,plain,
% 39.40/25.85 (v1(constB130) <=> v1(sK0_VarCurr)),
% 39.40/25.85 inference(monotonicity,[status(thm)],[25985])).
% 39.40/25.85 tff(25987,plain,
% 39.40/25.85 (v1(sK0_VarCurr) <=> v1(constB130)),
% 39.40/25.85 inference(symmetry,[status(thm)],[25986])).
% 39.40/25.85 tff(25988,plain,
% 39.40/25.85 ((~v1(sK0_VarCurr)) <=> (~v1(constB130))),
% 39.40/25.85 inference(monotonicity,[status(thm)],[25987])).
% 39.40/25.85 tff(25989,plain,
% 39.40/25.85 (~v1(constB130)),
% 39.40/25.85 inference(modus_ponens,[status(thm)],[23858, 25988])).
% 39.40/25.85 tff(25990,plain,
% 39.40/25.85 ($false),
% 39.40/25.85 inference(unit_resolution,[status(thm)],[15074, 25989])).
% 39.40/25.85 tff(25991,plain,(~(constB130 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.85 tff(25992,assumption,(constB30 = sK0_VarCurr), introduced(assumption)).
% 39.40/25.85 tff(25993,plain,
% 39.40/25.85 (v1(constB30) <=> v1(sK0_VarCurr)),
% 39.40/25.85 inference(monotonicity,[status(thm)],[25992])).
% 39.40/25.85 tff(25994,plain,
% 39.40/25.85 (v1(sK0_VarCurr) <=> v1(constB30)),
% 39.40/25.85 inference(symmetry,[status(thm)],[25993])).
% 39.40/25.85 tff(25995,plain,
% 39.40/25.85 ((~v1(sK0_VarCurr)) <=> (~v1(constB30))),
% 39.40/25.85 inference(monotonicity,[status(thm)],[25994])).
% 39.40/25.86 tff(25996,plain,
% 39.40/25.86 (~v1(constB30)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[23858, 25995])).
% 39.40/25.86 tff(25997,plain,
% 39.40/25.86 ($false),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[3971, 25996])).
% 39.40/25.86 tff(25998,plain,(~(constB30 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.86 tff(25999,assumption,(constB137 = sK0_VarCurr), introduced(assumption)).
% 39.40/25.86 tff(26000,plain,
% 39.40/25.86 (v162(constB137) <=> v162(sK0_VarCurr)),
% 39.40/25.86 inference(monotonicity,[status(thm)],[25999])).
% 39.40/25.86 tff(26001,plain,
% 39.40/25.86 (v162(sK0_VarCurr) <=> v162(constB137)),
% 39.40/25.86 inference(symmetry,[status(thm)],[26000])).
% 39.40/25.86 tff(26002,plain,
% 39.40/25.86 (v162(constB137)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[17398, 26001])).
% 39.40/25.86 tff(26003,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB131, bitIndex1)) | (~v145(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB131, bitIndex1)) | (~v145(constB131)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26004,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB131, bitIndex1)) | (~v145(constB131)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26005,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB131, bitIndex1)) | (~v145(constB131))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26004, 26003])).
% 39.40/25.86 tff(26006,plain,
% 39.40/25.86 (~v145(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26005, 1116, 15171])).
% 39.40/25.86 tff(26007,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB131) | (~v144(constB131)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB131) | (~v144(constB131)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26008,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB131) | (~v144(constB131)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26009,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB131) | (~v144(constB131))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26008, 26007])).
% 39.40/25.86 tff(26010,plain,
% 39.40/25.86 (~v144(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26009, 17003, 26006])).
% 39.40/25.86 tff(26011,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB131) | (~v142(constB131)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB131) | (~v142(constB131)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26012,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB131) | (~v142(constB131)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26013,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB131) | (~v142(constB131))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26012, 26011])).
% 39.40/25.86 tff(26014,plain,
% 39.40/25.86 (~v142(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26013, 17014, 26010])).
% 39.40/25.86 tff(26015,assumption,(v18(constB132)), introduced(assumption)).
% 39.40/25.86 tff(26016,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB132))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26017,plain,
% 39.40/25.86 ($false),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26016, 8, 26015])).
% 39.40/25.86 tff(26018,plain,(~v18(constB132)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.86 tff(26019,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26020,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26021,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26020, 26019])).
% 39.40/25.86 tff(26022,plain,
% 39.40/25.86 (v22(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26021, 21, 15276])).
% 39.40/25.86 tff(26023,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB132)) | (~v22(constB132)) | v18(constB132))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB132)) | (~v22(constB132)) | v18(constB132))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26024,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB132)) | (~v22(constB132)) | v18(constB132))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26025,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB132)) | (~v22(constB132)) | v18(constB132)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26024, 26023])).
% 39.40/25.86 tff(26026,plain,
% 39.40/25.86 ((~v19(constB132)) | v18(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26025, 35, 26022])).
% 39.40/25.86 tff(26027,plain,
% 39.40/25.86 (~v19(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26026, 26018])).
% 39.40/25.86 tff(26028,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26029,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26030,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26029, 26028])).
% 39.40/25.86 tff(26031,plain,
% 39.40/25.86 (v13(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26030, 50, 26027])).
% 39.40/25.86 tff(26032,plain,
% 39.40/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26033,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26034,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26033, 26032])).
% 39.40/25.86 tff(26035,plain,
% 39.40/25.86 ((~v13(constB132)) | v9(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26034, 67, 15218])).
% 39.40/25.86 tff(26036,plain,
% 39.40/25.86 (v9(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26035, 26031])).
% 39.40/25.86 tff(26037,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26038,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26039,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26038, 26037])).
% 39.40/25.86 tff(26040,plain,
% 39.40/25.86 ((~v9(constB131)) | v141(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26039, 85, 15116])).
% 39.40/25.86 tff(26041,plain,
% 39.40/25.86 (v141(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26040, 26036])).
% 39.40/25.86 tff(26042,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB131) | (~v141(constB131)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB131) | (~v141(constB131)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26043,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB131) | (~v141(constB131)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26044,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB131) | (~v141(constB131))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26043, 26042])).
% 39.40/25.86 tff(26045,plain,
% 39.40/25.86 (v140(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26044, 97, 26041])).
% 39.40/25.86 tff(26046,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB131)) | (~v140(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB131)) | (~v140(constB131)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26047,plain,
% 39.40/25.86 (((~v140(constB131)) | (~v138(constB131))) <=> ((~v138(constB131)) | (~v140(constB131)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26048,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB131)) | (~v138(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB131)) | (~v140(constB131))))),
% 39.40/25.86 inference(monotonicity,[status(thm)],[26047])).
% 39.40/25.86 tff(26049,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB131)) | (~v138(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB131)) | (~v140(constB131)))),
% 39.40/25.86 inference(transitivity,[status(thm)],[26048, 26046])).
% 39.40/25.86 tff(26050,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB131)) | (~v138(constB131)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26051,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB131)) | (~v140(constB131))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26050, 26049])).
% 39.40/25.86 tff(26052,plain,
% 39.40/25.86 (~v138(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26051, 108, 26045])).
% 39.40/25.86 tff(26053,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB131) | v142(constB131) | (~v135(constB131)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB131) | v142(constB131) | (~v135(constB131)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26054,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB131) | v142(constB131) | (~v135(constB131)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26055,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB131) | v142(constB131) | (~v135(constB131))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26054, 26053])).
% 39.40/25.86 tff(26056,plain,
% 39.40/25.86 (v142(constB131) | (~v135(constB131))),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26055, 17028, 26052])).
% 39.40/25.86 tff(26057,plain,
% 39.40/25.86 (~v135(constB131)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26056, 26014])).
% 39.40/25.86 tff(26058,plain,
% 39.40/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26059,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26060,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26059, 26058])).
% 39.40/25.86 tff(26061,plain,
% 39.40/25.86 (v135(constB131) | (~v137(constB132))),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26060, 17043, 15218])).
% 39.40/25.86 tff(26062,plain,
% 39.40/25.86 (~v137(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26061, 26057])).
% 39.40/25.86 tff(26063,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB132) | (~v138(constB132)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB132) | (~v138(constB132)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26064,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB132) | (~v138(constB132)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26065,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB132) | (~v138(constB132))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26064, 26063])).
% 39.40/25.86 tff(26066,plain,
% 39.40/25.86 (~v138(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26065, 17055, 26062])).
% 39.40/25.86 tff(26067,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26068,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26069,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26068, 26067])).
% 39.40/25.86 tff(26070,plain,
% 39.40/25.86 (~v141(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26069, 17066, 15276])).
% 39.40/25.86 tff(26071,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB132) | (~v144(constB132)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB132) | (~v144(constB132)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26072,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB132) | (~v144(constB132)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26073,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB132) | (~v144(constB132))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26072, 26071])).
% 39.40/25.86 tff(26074,plain,
% 39.40/25.86 (~v144(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26073, 17077, 26070])).
% 39.40/25.86 tff(26075,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB132) | (~v142(constB132)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB132) | (~v142(constB132)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26076,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB132) | (~v142(constB132)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26077,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB132) | (~v142(constB132))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26076, 26075])).
% 39.40/25.86 tff(26078,plain,
% 39.40/25.86 (~v142(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26077, 17014, 26074])).
% 39.40/25.86 tff(26079,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB132) | v142(constB132) | (~v135(constB132)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB132) | v142(constB132) | (~v135(constB132)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26080,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB132) | v142(constB132) | (~v135(constB132)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26081,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB132) | v142(constB132) | (~v135(constB132))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26080, 26079])).
% 39.40/25.86 tff(26082,plain,
% 39.40/25.86 (v138(constB132) | (~v135(constB132))),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26081, 17028, 26078])).
% 39.40/25.86 tff(26083,plain,
% 39.40/25.86 (~v135(constB132)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26082, 26066])).
% 39.40/25.86 tff(26084,plain,
% 39.40/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26085,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26086,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26085, 26084])).
% 39.40/25.86 tff(26087,plain,
% 39.40/25.86 (v135(constB132) | (~v137(constB133))),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26086, 17043, 15304])).
% 39.40/25.86 tff(26088,plain,
% 39.40/25.86 (~v137(constB133)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26087, 26083])).
% 39.40/25.86 tff(26089,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB133) | (~v154(constB133)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB133) | (~v154(constB133)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26090,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB133) | (~v154(constB133)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26091,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB133) | (~v154(constB133))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 39.40/25.86 tff(26092,plain,
% 39.40/25.86 (~v154(constB133)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26091, 17105, 26088])).
% 39.40/25.86 tff(26093,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26094,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26095,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26094, 26093])).
% 39.40/25.86 tff(26096,plain,
% 39.40/25.86 ((~v9(constB133)) | v141(constB133)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26095, 85, 15301])).
% 39.40/25.86 tff(26097,plain,
% 39.40/25.86 (v141(constB133)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26096, 15437])).
% 39.40/25.86 tff(26098,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB133) | (~v141(constB133)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB133) | (~v141(constB133)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26099,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB133) | (~v141(constB133)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26100,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB133) | (~v141(constB133))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26099, 26098])).
% 39.40/25.86 tff(26101,plain,
% 39.40/25.86 (v140(constB133)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26100, 97, 26097])).
% 39.40/25.86 tff(26102,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB133)) | (~v153(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB133)) | (~v153(constB133)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26103,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB133)) | (~v153(constB133)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26104,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB133)) | (~v153(constB133))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26103, 26102])).
% 39.40/25.86 tff(26105,plain,
% 39.40/25.86 (~v153(constB133)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26104, 17156, 26101])).
% 39.40/25.86 tff(26106,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB133) | v154(constB133) | (~v150(constB133)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB133) | v154(constB133) | (~v150(constB133)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26107,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB133) | v154(constB133) | (~v150(constB133)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26108,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB133) | v154(constB133) | (~v150(constB133))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26107, 26106])).
% 39.40/25.86 tff(26109,plain,
% 39.40/25.86 (v154(constB133) | (~v150(constB133))),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26108, 17170, 26105])).
% 39.40/25.86 tff(26110,plain,
% 39.40/25.86 (~v150(constB133)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26109, 26092])).
% 39.40/25.86 tff(26111,plain,
% 39.40/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26112,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26113,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26112, 26111])).
% 39.40/25.86 tff(26114,plain,
% 39.40/25.86 (v150(constB133) | (~v152(constB134))),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26113, 17185, 15432])).
% 39.40/25.86 tff(26115,plain,
% 39.40/25.86 (~v152(constB134)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26114, 26110])).
% 39.40/25.86 tff(26116,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB134) | (~v153(constB134)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB134) | (~v153(constB134)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26117,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB134) | (~v153(constB134)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26118,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB134) | (~v153(constB134))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26117, 26116])).
% 39.40/25.86 tff(26119,plain,
% 39.40/25.86 (~v153(constB134)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26118, 17197, 26115])).
% 39.40/25.86 tff(26120,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26121,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26122,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26121, 26120])).
% 39.40/25.86 tff(26123,plain,
% 39.40/25.86 (~v141(constB134)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26122, 17066, 15416])).
% 39.40/25.86 tff(26124,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB134) | (~v155(constB134)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB134) | (~v155(constB134)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26125,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB134) | (~v155(constB134)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26126,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB134) | (~v155(constB134))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26125, 26124])).
% 39.40/25.86 tff(26127,plain,
% 39.40/25.86 (~v155(constB134)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26126, 17212, 26123])).
% 39.40/25.86 tff(26128,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB134) | (~v154(constB134)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB134) | (~v154(constB134)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26129,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB134) | (~v154(constB134)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26130,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB134) | (~v154(constB134))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26129, 26128])).
% 39.40/25.86 tff(26131,plain,
% 39.40/25.86 (~v154(constB134)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26130, 17223, 26127])).
% 39.40/25.86 tff(26132,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB134) | v154(constB134) | (~v150(constB134)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB134) | v154(constB134) | (~v150(constB134)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26133,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB134) | v154(constB134) | (~v150(constB134)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26134,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB134) | v154(constB134) | (~v150(constB134))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26133, 26132])).
% 39.40/25.86 tff(26135,plain,
% 39.40/25.86 (v153(constB134) | (~v150(constB134))),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26134, 17170, 26131])).
% 39.40/25.86 tff(26136,plain,
% 39.40/25.86 (~v150(constB134)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26135, 26119])).
% 39.40/25.86 tff(26137,plain,
% 39.40/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26138,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26139,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26138, 26137])).
% 39.40/25.86 tff(26140,plain,
% 39.40/25.86 (v150(constB134) | (~v152(constB135))),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26139, 17185, 15571])).
% 39.40/25.86 tff(26141,plain,
% 39.40/25.86 (~v152(constB135)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26140, 26136])).
% 39.40/25.86 tff(26142,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB135) | (~v164(constB135)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB135) | (~v164(constB135)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26143,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB135) | (~v164(constB135)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26144,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB135) | (~v164(constB135))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26143, 26142])).
% 39.40/25.86 tff(26145,plain,
% 39.40/25.86 (~v164(constB135)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26144, 17247, 26141])).
% 39.40/25.86 tff(26146,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v145(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB129, bitIndex1)) | (~v145(constB129)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26147,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v145(constB129)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26148,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB129, bitIndex1)) | (~v145(constB129))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26147, 26146])).
% 39.40/25.86 tff(26149,plain,
% 39.40/25.86 (~v145(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26148, 1116, 14977])).
% 39.40/25.86 tff(26150,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB129) | (~v144(constB129)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB129) | (~v144(constB129)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26151,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB129) | (~v144(constB129)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26152,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB129) | (~v144(constB129))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26151, 26150])).
% 39.40/25.86 tff(26153,plain,
% 39.40/25.86 (~v144(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26152, 17003, 26149])).
% 39.40/25.86 tff(26154,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB129) | (~v142(constB129)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26155,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB129) | (~v142(constB129)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26156,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB129) | (~v142(constB129))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26155, 26154])).
% 39.40/25.86 tff(26157,plain,
% 39.40/25.86 (~v142(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26156, 17014, 26153])).
% 39.40/25.86 tff(26158,assumption,(v18(constB130)), introduced(assumption)).
% 39.40/25.86 tff(26159,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB130))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26160,plain,
% 39.40/25.86 ($false),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26159, 8, 26158])).
% 39.40/25.86 tff(26161,plain,(~v18(constB130)), inference(lemma,lemma(discharge,[]))).
% 39.40/25.86 tff(26162,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26163,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26164,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26163, 26162])).
% 39.40/25.86 tff(26165,plain,
% 39.40/25.86 (v22(constB130)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26164, 21, 15074])).
% 39.40/25.86 tff(26166,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB130)) | (~v22(constB130)) | v18(constB130))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB130)) | (~v22(constB130)) | v18(constB130))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26167,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB130)) | (~v22(constB130)) | v18(constB130))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26168,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB130)) | (~v22(constB130)) | v18(constB130)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26167, 26166])).
% 39.40/25.86 tff(26169,plain,
% 39.40/25.86 ((~v19(constB130)) | v18(constB130)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26168, 35, 26165])).
% 39.40/25.86 tff(26170,plain,
% 39.40/25.86 (~v19(constB130)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26169, 26161])).
% 39.40/25.86 tff(26171,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26172,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26173,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26172, 26171])).
% 39.40/25.86 tff(26174,plain,
% 39.40/25.86 (v13(constB130)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26173, 50, 26170])).
% 39.40/25.86 tff(26175,plain,
% 39.40/25.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26176,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26177,plain,
% 39.40/25.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26176, 26175])).
% 39.40/25.86 tff(26178,plain,
% 39.40/25.86 ((~v13(constB130)) | v9(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26177, 67, 15054])).
% 39.40/25.86 tff(26179,plain,
% 39.40/25.86 (v9(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26178, 26174])).
% 39.40/25.86 tff(26180,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26181,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26182,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129)),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26181, 26180])).
% 39.40/25.86 tff(26183,plain,
% 39.40/25.86 ((~v9(constB129)) | v141(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26182, 85, 14922])).
% 39.40/25.86 tff(26184,plain,
% 39.40/25.86 (v141(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26183, 26179])).
% 39.40/25.86 tff(26185,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB129) | (~v141(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB129) | (~v141(constB129)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26186,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB129) | (~v141(constB129)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26187,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB129) | (~v141(constB129))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26186, 26185])).
% 39.40/25.86 tff(26188,plain,
% 39.40/25.86 (v140(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26187, 97, 26184])).
% 39.40/25.86 tff(26189,plain,
% 39.40/25.86 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB129)) | (~v138(constB129)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB129)) | (~v138(constB129)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26190,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB129)) | (~v138(constB129)))),
% 39.40/25.86 inference(quant_inst,[status(thm)],[])).
% 39.40/25.86 tff(26191,plain,
% 39.40/25.86 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB129)) | (~v138(constB129))),
% 39.40/25.86 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 39.40/25.86 tff(26192,plain,
% 39.40/25.86 (~v138(constB129)),
% 39.40/25.86 inference(unit_resolution,[status(thm)],[26191, 108, 26188])).
% 39.40/25.86 tff(26193,plain,
% 39.40/25.86 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 39.40/25.86 inference(rewrite,[status(thm)],[])).
% 39.40/25.86 tff(26194,plain,
% 39.40/25.86 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26195,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26194, 26193])).
% 39.40/25.87 tff(26196,plain,
% 39.40/25.87 (v142(constB129) | (~v135(constB129))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26195, 17028, 26192])).
% 39.40/25.87 tff(26197,plain,
% 39.40/25.87 (~v135(constB129)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26196, 26157])).
% 39.40/25.87 tff(26198,plain,
% 39.40/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26199,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26200,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26199, 26198])).
% 39.40/25.87 tff(26201,plain,
% 39.40/25.87 (v135(constB129) | (~v137(constB130))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26200, 17043, 15054])).
% 39.40/25.87 tff(26202,plain,
% 39.40/25.87 (~v137(constB130)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26201, 26197])).
% 39.40/25.87 tff(26203,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26204,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26205,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26204, 26203])).
% 39.40/25.87 tff(26206,plain,
% 39.40/25.87 (~v138(constB130)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26205, 17055, 26202])).
% 39.40/25.87 tff(26207,plain,
% 39.40/25.87 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26208,plain,
% 39.40/25.87 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26209,plain,
% 39.40/25.87 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26208, 26207])).
% 39.40/25.87 tff(26210,plain,
% 39.40/25.87 (~v141(constB130)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26209, 17066, 15074])).
% 39.40/25.87 tff(26211,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26212,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26213,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26212, 26211])).
% 39.40/25.87 tff(26214,plain,
% 39.40/25.87 (~v144(constB130)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26213, 17077, 26210])).
% 39.40/25.87 tff(26215,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26216,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26217,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26216, 26215])).
% 39.40/25.87 tff(26218,plain,
% 39.40/25.87 (~v142(constB130)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26217, 17014, 26214])).
% 39.40/25.87 tff(26219,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26220,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26221,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26220, 26219])).
% 39.40/25.87 tff(26222,plain,
% 39.40/25.87 (v138(constB130) | (~v135(constB130))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26221, 17028, 26218])).
% 39.40/25.87 tff(26223,plain,
% 39.40/25.87 (~v135(constB130)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26222, 26206])).
% 39.40/25.87 tff(26224,plain,
% 39.40/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26225,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26226,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 39.40/25.87 tff(26227,plain,
% 39.40/25.87 (v135(constB130) | (~v137(constB131))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26226, 17043, 15119])).
% 39.40/25.87 tff(26228,plain,
% 39.40/25.87 (~v137(constB131)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26227, 26223])).
% 39.40/25.87 tff(26229,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB131) | (~v154(constB131)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB131) | (~v154(constB131)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26230,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB131) | (~v154(constB131)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26231,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB131) | (~v154(constB131))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26230, 26229])).
% 39.40/25.87 tff(26232,plain,
% 39.40/25.87 (~v154(constB131)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26231, 17105, 26228])).
% 39.40/25.87 tff(26233,plain,
% 39.40/25.87 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB131)) | (~v153(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB131)) | (~v153(constB131)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26234,plain,
% 39.40/25.87 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB131)) | (~v153(constB131)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26235,plain,
% 39.40/25.87 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB131)) | (~v153(constB131))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26234, 26233])).
% 39.40/25.87 tff(26236,plain,
% 39.40/25.87 (~v153(constB131)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26235, 17156, 26045])).
% 39.40/25.87 tff(26237,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v154(constB131) | (~v150(constB131)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v154(constB131) | (~v150(constB131)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26238,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v154(constB131) | (~v150(constB131)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26239,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v154(constB131) | (~v150(constB131))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26238, 26237])).
% 39.40/25.87 tff(26240,plain,
% 39.40/25.87 (v154(constB131) | (~v150(constB131))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26239, 17170, 26236])).
% 39.40/25.87 tff(26241,plain,
% 39.40/25.87 (~v150(constB131)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26240, 26232])).
% 39.40/25.87 tff(26242,plain,
% 39.40/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26243,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26244,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 39.40/25.87 tff(26245,plain,
% 39.40/25.87 (v150(constB131) | (~v152(constB132))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26244, 17185, 15218])).
% 39.40/25.87 tff(26246,plain,
% 39.40/25.87 (~v152(constB132)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26245, 26241])).
% 39.40/25.87 tff(26247,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB132) | (~v153(constB132)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB132) | (~v153(constB132)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26248,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB132) | (~v153(constB132)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26249,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB132) | (~v153(constB132))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26248, 26247])).
% 39.40/25.87 tff(26250,plain,
% 39.40/25.87 (~v153(constB132)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26249, 17197, 26246])).
% 39.40/25.87 tff(26251,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB132) | (~v155(constB132)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB132) | (~v155(constB132)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26252,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB132) | (~v155(constB132)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26253,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB132) | (~v155(constB132))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26252, 26251])).
% 39.40/25.87 tff(26254,plain,
% 39.40/25.87 (~v155(constB132)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26253, 17212, 26070])).
% 39.40/25.87 tff(26255,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB132) | (~v154(constB132)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB132) | (~v154(constB132)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26256,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB132) | (~v154(constB132)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26257,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB132) | (~v154(constB132))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 39.40/25.87 tff(26258,plain,
% 39.40/25.87 (~v154(constB132)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26257, 17223, 26254])).
% 39.40/25.87 tff(26259,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v154(constB132) | (~v150(constB132)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v154(constB132) | (~v150(constB132)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26260,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v154(constB132) | (~v150(constB132)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26261,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v154(constB132) | (~v150(constB132))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26260, 26259])).
% 39.40/25.87 tff(26262,plain,
% 39.40/25.87 (v153(constB132) | (~v150(constB132))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26261, 17170, 26258])).
% 39.40/25.87 tff(26263,plain,
% 39.40/25.87 (~v150(constB132)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26262, 26250])).
% 39.40/25.87 tff(26264,plain,
% 39.40/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26265,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26266,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26265, 26264])).
% 39.40/25.87 tff(26267,plain,
% 39.40/25.87 (v150(constB132) | (~v152(constB133))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26266, 17185, 15304])).
% 39.40/25.87 tff(26268,plain,
% 39.40/25.87 (~v152(constB133)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26267, 26263])).
% 39.40/25.87 tff(26269,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26270,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26271,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26270, 26269])).
% 39.40/25.87 tff(26272,plain,
% 39.40/25.87 (~v164(constB133)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26271, 17247, 26268])).
% 39.40/25.87 tff(26273,plain,
% 39.40/25.87 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26274,plain,
% 39.40/25.87 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26275,plain,
% 39.40/25.87 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26274, 26273])).
% 39.40/25.87 tff(26276,plain,
% 39.40/25.87 (~v163(constB133)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26275, 17298, 26101])).
% 39.40/25.87 tff(26277,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB133)) | v164(constB133) | v163(constB133))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26278,plain,
% 39.40/25.87 ((v164(constB133) | v163(constB133) | (~v160(constB133))) <=> ((~v160(constB133)) | v164(constB133) | v163(constB133))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26279,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB133)) | v164(constB133) | v163(constB133)))),
% 39.40/25.87 inference(monotonicity,[status(thm)],[26278])).
% 39.40/25.87 tff(26280,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133))),
% 39.40/25.87 inference(transitivity,[status(thm)],[26279, 26277])).
% 39.40/25.87 tff(26281,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26282,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133)),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26281, 26280])).
% 39.40/25.87 tff(26283,plain,
% 39.40/25.87 ((~v160(constB133)) | v164(constB133)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26282, 17312, 26276])).
% 39.40/25.87 tff(26284,plain,
% 39.40/25.87 (~v160(constB133)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26283, 26272])).
% 39.40/25.87 tff(26285,plain,
% 39.40/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26286,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26287,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26286, 26285])).
% 39.40/25.87 tff(26288,plain,
% 39.40/25.87 (v160(constB133) | (~v162(constB134))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26287, 17330, 15432])).
% 39.40/25.87 tff(26289,plain,
% 39.40/25.87 (~v162(constB134)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26288, 26284])).
% 39.40/25.87 tff(26290,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26291,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26292,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26291, 26290])).
% 39.40/25.87 tff(26293,plain,
% 39.40/25.87 (~v163(constB134)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26292, 17342, 26289])).
% 39.40/25.87 tff(26294,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB134) | (~v164(constB134)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB134) | (~v164(constB134)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26295,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB134) | (~v164(constB134)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26296,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB134) | (~v164(constB134))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 39.40/25.87 tff(26297,plain,
% 39.40/25.87 (~v164(constB134)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26296, 17361, 26127])).
% 39.40/25.87 tff(26298,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB134)) | v164(constB134) | v163(constB134))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26299,plain,
% 39.40/25.87 ((v164(constB134) | v163(constB134) | (~v160(constB134))) <=> ((~v160(constB134)) | v164(constB134) | v163(constB134))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26300,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB134)) | v164(constB134) | v163(constB134)))),
% 39.40/25.87 inference(monotonicity,[status(thm)],[26299])).
% 39.40/25.87 tff(26301,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134))),
% 39.40/25.87 inference(transitivity,[status(thm)],[26300, 26298])).
% 39.40/25.87 tff(26302,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26303,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134)),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26302, 26301])).
% 39.40/25.87 tff(26304,plain,
% 39.40/25.87 ((~v160(constB134)) | v163(constB134)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26303, 17312, 26297])).
% 39.40/25.87 tff(26305,plain,
% 39.40/25.87 (~v160(constB134)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26304, 26293])).
% 39.40/25.87 tff(26306,plain,
% 39.40/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26307,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26308,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26307, 26306])).
% 39.40/25.87 tff(26309,plain,
% 39.40/25.87 (v160(constB134) | (~v162(constB135))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26308, 17330, 15571])).
% 39.40/25.87 tff(26310,plain,
% 39.40/25.87 (~v162(constB135)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26309, 26305])).
% 39.40/25.87 tff(26311,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB135) | (~v163(constB135)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB135) | (~v163(constB135)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26312,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB135) | (~v163(constB135)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26313,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB135) | (~v163(constB135))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26312, 26311])).
% 39.40/25.87 tff(26314,plain,
% 39.40/25.87 (~v163(constB135)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26313, 17342, 26310])).
% 39.40/25.87 tff(26315,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB135)) | v164(constB135) | v163(constB135))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB135)) | v164(constB135) | v163(constB135))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26316,plain,
% 39.40/25.87 ((v164(constB135) | v163(constB135) | (~v160(constB135))) <=> ((~v160(constB135)) | v164(constB135) | v163(constB135))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26317,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB135) | v163(constB135) | (~v160(constB135)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB135)) | v164(constB135) | v163(constB135)))),
% 39.40/25.87 inference(monotonicity,[status(thm)],[26316])).
% 39.40/25.87 tff(26318,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB135) | v163(constB135) | (~v160(constB135)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB135)) | v164(constB135) | v163(constB135))),
% 39.40/25.87 inference(transitivity,[status(thm)],[26317, 26315])).
% 39.40/25.87 tff(26319,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB135) | v163(constB135) | (~v160(constB135)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26320,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB135)) | v164(constB135) | v163(constB135)),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26319, 26318])).
% 39.40/25.87 tff(26321,plain,
% 39.40/25.87 ((~v160(constB135)) | v164(constB135)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26320, 17312, 26314])).
% 39.40/25.87 tff(26322,plain,
% 39.40/25.87 (~v160(constB135)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26321, 26145])).
% 39.40/25.87 tff(26323,plain,
% 39.40/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26324,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26325,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26324, 26323])).
% 39.40/25.87 tff(26326,plain,
% 39.40/25.87 (v160(constB135) | (~v162(constB136))),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26325, 17330, 15703])).
% 39.40/25.87 tff(26327,plain,
% 39.40/25.87 (~v162(constB136)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26326, 26322])).
% 39.40/25.87 tff(26328,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB136) | (~v163(constB136)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB136) | (~v163(constB136)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26329,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB136) | (~v163(constB136)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26330,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB136) | (~v163(constB136))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26329, 26328])).
% 39.40/25.87 tff(26331,plain,
% 39.40/25.87 (~v163(constB136)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26330, 17342, 26327])).
% 39.40/25.87 tff(26332,plain,
% 39.40/25.87 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB136)) | (~v141(constB136)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB136)) | (~v141(constB136)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26333,plain,
% 39.40/25.87 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB136)) | (~v141(constB136)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26334,plain,
% 39.40/25.87 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB136)) | (~v141(constB136))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26333, 26332])).
% 39.40/25.87 tff(26335,plain,
% 39.40/25.87 (~v141(constB136)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26334, 17066, 15723])).
% 39.40/25.87 tff(26336,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB136) | (~v155(constB136)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB136) | (~v155(constB136)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26337,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB136) | (~v155(constB136)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26338,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB136) | (~v155(constB136))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26337, 26336])).
% 39.40/25.87 tff(26339,plain,
% 39.40/25.87 (~v155(constB136)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26338, 17212, 26335])).
% 39.40/25.87 tff(26340,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB136) | (~v164(constB136)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB136) | (~v164(constB136)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26341,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB136) | (~v164(constB136)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26342,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB136) | (~v164(constB136))),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26341, 26340])).
% 39.40/25.87 tff(26343,plain,
% 39.40/25.87 (~v164(constB136)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26342, 17361, 26339])).
% 39.40/25.87 tff(26344,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB136)) | v164(constB136) | v163(constB136))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB136)) | v164(constB136) | v163(constB136))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26345,plain,
% 39.40/25.87 ((v164(constB136) | v163(constB136) | (~v160(constB136))) <=> ((~v160(constB136)) | v164(constB136) | v163(constB136))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26346,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB136) | v163(constB136) | (~v160(constB136)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB136)) | v164(constB136) | v163(constB136)))),
% 39.40/25.87 inference(monotonicity,[status(thm)],[26345])).
% 39.40/25.87 tff(26347,plain,
% 39.40/25.87 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB136) | v163(constB136) | (~v160(constB136)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB136)) | v164(constB136) | v163(constB136))),
% 39.40/25.87 inference(transitivity,[status(thm)],[26346, 26344])).
% 39.40/25.87 tff(26348,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB136) | v163(constB136) | (~v160(constB136)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26349,plain,
% 39.40/25.87 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB136)) | v164(constB136) | v163(constB136)),
% 39.40/25.87 inference(modus_ponens,[status(thm)],[26348, 26347])).
% 39.40/25.87 tff(26350,plain,
% 39.40/25.87 ((~v160(constB136)) | v163(constB136)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26349, 17312, 26343])).
% 39.40/25.87 tff(26351,plain,
% 39.40/25.87 (~v160(constB136)),
% 39.40/25.87 inference(unit_resolution,[status(thm)],[26350, 26331])).
% 39.40/25.87 tff(26352,plain,
% 39.40/25.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))),
% 39.40/25.87 inference(rewrite,[status(thm)],[])).
% 39.40/25.87 tff(26353,plain,
% 39.40/25.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))),
% 39.40/25.87 inference(quant_inst,[status(thm)],[])).
% 39.40/25.87 tff(26354,plain,
% 39.48/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137))),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26353, 26352])).
% 39.48/25.88 tff(26355,plain,
% 39.48/25.88 (v160(constB136) | (~v162(constB137))),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26354, 17330, 15796])).
% 39.48/25.88 tff(26356,plain,
% 39.48/25.88 (~v162(constB137)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26355, 26351])).
% 39.48/25.88 tff(26357,plain,
% 39.48/25.88 ($false),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26356, 26002])).
% 39.48/25.88 tff(26358,plain,(~(constB137 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.48/25.88 tff(26359,assumption,(constB50 = sK0_VarCurr), introduced(assumption)).
% 39.48/25.88 tff(26360,plain,
% 39.48/25.88 (v1(constB50) <=> v1(sK0_VarCurr)),
% 39.48/25.88 inference(monotonicity,[status(thm)],[26359])).
% 39.48/25.88 tff(26361,plain,
% 39.48/25.88 (v1(sK0_VarCurr) <=> v1(constB50)),
% 39.48/25.88 inference(symmetry,[status(thm)],[26360])).
% 39.48/25.88 tff(26362,plain,
% 39.48/25.88 ((~v1(sK0_VarCurr)) <=> (~v1(constB50))),
% 39.48/25.88 inference(monotonicity,[status(thm)],[26361])).
% 39.48/25.88 tff(26363,plain,
% 39.48/25.88 (~v1(constB50)),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[23858, 26362])).
% 39.48/25.88 tff(26364,plain,
% 39.48/25.88 ($false),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[6107, 26363])).
% 39.48/25.88 tff(26365,plain,(~(constB50 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.48/25.88 tff(26366,assumption,(constB189 = sK0_VarCurr), introduced(assumption)).
% 39.48/25.88 tff(26367,plain,
% 39.48/25.88 (v162(constB189) <=> v162(sK0_VarCurr)),
% 39.48/25.88 inference(monotonicity,[status(thm)],[26366])).
% 39.48/25.88 tff(26368,plain,
% 39.48/25.88 (v162(sK0_VarCurr) <=> v162(constB189)),
% 39.48/25.88 inference(symmetry,[status(thm)],[26367])).
% 39.48/25.88 tff(26369,plain,
% 39.48/25.88 (v162(constB189)),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[17398, 26368])).
% 39.48/25.88 tff(26370,plain,
% 39.48/25.88 (v124(constB179, bitIndex1)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[21483, 1750, 21316])).
% 39.48/25.88 tff(26371,plain,
% 39.48/25.88 (v121(constB179, bitIndex1)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[21488, 26370])).
% 39.48/25.88 tff(26372,plain,
% 39.48/25.88 (v123(constB180, bitIndex1)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[21493, 26371])).
% 39.48/25.88 tff(26373,plain,
% 39.48/25.88 (v84(constB180, bitIndex1) | (~v94(constB180))),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[21500, 905, 26372])).
% 39.48/25.88 tff(26374,plain,
% 39.48/25.88 (v84(constB180, bitIndex1)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26373, 21386])).
% 39.48/25.88 tff(26375,plain,
% 39.48/25.88 (v84(constB181, bitIndex1)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[21510, 26374])).
% 39.48/25.88 tff(26376,plain,
% 39.48/25.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v145(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v145(constB181)))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26377,plain,
% 39.48/25.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v145(constB181)))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26378,plain,
% 39.48/25.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v145(constB181))),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26377, 26376])).
% 39.48/25.88 tff(26379,plain,
% 39.48/25.88 (~v145(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26378, 1116, 26375])).
% 39.48/25.88 tff(26380,plain,
% 39.48/25.88 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB181) | (~v144(constB181)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB181) | (~v144(constB181)))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26381,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB181) | (~v144(constB181)))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26382,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB181) | (~v144(constB181))),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26381, 26380])).
% 39.48/25.88 tff(26383,plain,
% 39.48/25.88 (~v144(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26382, 17003, 26379])).
% 39.48/25.88 tff(26384,plain,
% 39.48/25.88 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB181) | (~v142(constB181)))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26385,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB181) | (~v142(constB181)))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26386,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB181) | (~v142(constB181))),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26385, 26384])).
% 39.48/25.88 tff(26387,plain,
% 39.48/25.88 (~v142(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26386, 17014, 26383])).
% 39.48/25.88 tff(26388,assumption,(v18(constB182)), introduced(assumption)).
% 39.48/25.88 tff(26389,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB182))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26390,plain,
% 39.48/25.88 ($false),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26389, 8, 26388])).
% 39.48/25.88 tff(26391,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 39.48/25.88 tff(26392,plain,
% 39.48/25.88 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26393,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26394,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26393, 26392])).
% 39.48/25.88 tff(26395,plain,
% 39.48/25.88 (v22(constB182)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26394, 21, 21591])).
% 39.48/25.88 tff(26396,plain,
% 39.48/25.88 (((~![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))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26397,plain,
% 39.48/25.88 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26398,plain,
% 39.48/25.88 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182)),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26397, 26396])).
% 39.48/25.88 tff(26399,plain,
% 39.48/25.88 ((~v19(constB182)) | v18(constB182)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26398, 35, 26395])).
% 39.48/25.88 tff(26400,plain,
% 39.48/25.88 (~v19(constB182)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26399, 26391])).
% 39.48/25.88 tff(26401,plain,
% 39.48/25.88 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26402,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26403,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26402, 26401])).
% 39.48/25.88 tff(26404,plain,
% 39.48/25.88 (v13(constB182)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26403, 50, 26400])).
% 39.48/25.88 tff(26405,plain,
% 39.48/25.88 (((~![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))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26406,plain,
% 39.48/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26407,plain,
% 39.48/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181)),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26406, 26405])).
% 39.48/25.88 tff(26408,plain,
% 39.48/25.88 ((~v13(constB182)) | v9(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26407, 67, 21538])).
% 39.48/25.88 tff(26409,plain,
% 39.48/25.88 (v9(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26408, 26404])).
% 39.48/25.88 tff(26410,plain,
% 39.48/25.88 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v141(constB181))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB181) | (~v9(constB181)) | v141(constB181))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26411,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v141(constB181))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26412,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB181) | (~v9(constB181)) | v141(constB181)),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26411, 26410])).
% 39.48/25.88 tff(26413,plain,
% 39.48/25.88 ((~v9(constB181)) | v141(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26412, 85, 21414])).
% 39.48/25.88 tff(26414,plain,
% 39.48/25.88 (v141(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26413, 26409])).
% 39.48/25.88 tff(26415,plain,
% 39.48/25.88 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB181) | (~v141(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB181) | (~v141(constB181)))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26416,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB181) | (~v141(constB181)))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26417,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB181) | (~v141(constB181))),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 39.48/25.88 tff(26418,plain,
% 39.48/25.88 (v140(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26417, 97, 26414])).
% 39.48/25.88 tff(26419,plain,
% 39.48/25.88 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB181)) | (~v138(constB181)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB181)) | (~v138(constB181)))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26420,plain,
% 39.48/25.88 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB181)) | (~v138(constB181)))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26421,plain,
% 39.48/25.88 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB181)) | (~v138(constB181))),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26420, 26419])).
% 39.48/25.88 tff(26422,plain,
% 39.48/25.88 (~v138(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26421, 108, 26418])).
% 39.48/25.88 tff(26423,plain,
% 39.48/25.88 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB181) | v142(constB181) | (~v135(constB181)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB181) | v142(constB181) | (~v135(constB181)))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.48/25.88 tff(26424,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB181) | v142(constB181) | (~v135(constB181)))),
% 39.48/25.88 inference(quant_inst,[status(thm)],[])).
% 39.48/25.88 tff(26425,plain,
% 39.48/25.88 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB181) | v142(constB181) | (~v135(constB181))),
% 39.48/25.88 inference(modus_ponens,[status(thm)],[26424, 26423])).
% 39.48/25.88 tff(26426,plain,
% 39.48/25.88 (v142(constB181) | (~v135(constB181))),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26425, 17028, 26422])).
% 39.48/25.88 tff(26427,plain,
% 39.48/25.88 (~v135(constB181)),
% 39.48/25.88 inference(unit_resolution,[status(thm)],[26426, 26387])).
% 39.48/25.88 tff(26428,plain,
% 39.48/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB181, constB182)) | v135(constB181) | (~v137(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB181, constB182)) | v135(constB181) | (~v137(constB182)))),
% 39.48/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26429,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB181, constB182)) | v135(constB181) | (~v137(constB182)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26430,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB181, constB182)) | v135(constB181) | (~v137(constB182))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26429, 26428])).
% 39.49/25.88 tff(26431,plain,
% 39.49/25.88 (v135(constB181) | (~v137(constB182))),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26430, 17043, 21538])).
% 39.49/25.88 tff(26432,plain,
% 39.49/25.88 (~v137(constB182)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26431, 26427])).
% 39.49/25.88 tff(26433,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB182) | (~v138(constB182)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB182) | (~v138(constB182)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26434,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB182) | (~v138(constB182)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26435,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB182) | (~v138(constB182))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 39.49/25.88 tff(26436,plain,
% 39.49/25.88 (~v138(constB182)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26435, 17055, 26432])).
% 39.49/25.88 tff(26437,plain,
% 39.49/25.88 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB182)) | (~v141(constB182)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB182)) | (~v141(constB182)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26438,plain,
% 39.49/25.88 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB182)) | (~v141(constB182)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26439,plain,
% 39.49/25.88 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB182)) | (~v141(constB182))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26438, 26437])).
% 39.49/25.88 tff(26440,plain,
% 39.49/25.88 (~v141(constB182)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26439, 17066, 21591])).
% 39.49/25.88 tff(26441,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB182) | (~v144(constB182)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB182) | (~v144(constB182)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26442,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB182) | (~v144(constB182)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26443,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB182) | (~v144(constB182))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26442, 26441])).
% 39.49/25.88 tff(26444,plain,
% 39.49/25.88 (~v144(constB182)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26443, 17077, 26440])).
% 39.49/25.88 tff(26445,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB182) | (~v142(constB182)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB182) | (~v142(constB182)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26446,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB182) | (~v142(constB182)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26447,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB182) | (~v142(constB182))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26446, 26445])).
% 39.49/25.88 tff(26448,plain,
% 39.49/25.88 (~v142(constB182)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26447, 17014, 26444])).
% 39.49/25.88 tff(26449,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB182) | v142(constB182) | (~v135(constB182)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB182) | v142(constB182) | (~v135(constB182)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26450,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB182) | v142(constB182) | (~v135(constB182)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26451,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB182) | v142(constB182) | (~v135(constB182))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26450, 26449])).
% 39.49/25.88 tff(26452,plain,
% 39.49/25.88 (v138(constB182) | (~v135(constB182))),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26451, 17028, 26448])).
% 39.49/25.88 tff(26453,plain,
% 39.49/25.88 (~v135(constB182)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26452, 26436])).
% 39.49/25.88 tff(26454,plain,
% 39.49/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB182, constB183)) | v135(constB182) | (~v137(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB182, constB183)) | v135(constB182) | (~v137(constB183)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26455,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB182, constB183)) | v135(constB182) | (~v137(constB183)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26456,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB182, constB183)) | v135(constB182) | (~v137(constB183))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26455, 26454])).
% 39.49/25.88 tff(26457,plain,
% 39.49/25.88 (v135(constB182) | (~v137(constB183))),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26456, 17043, 21653])).
% 39.49/25.88 tff(26458,plain,
% 39.49/25.88 (~v137(constB183)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26457, 26453])).
% 39.49/25.88 tff(26459,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB183) | (~v138(constB183)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB183) | (~v138(constB183)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26460,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB183) | (~v138(constB183)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26461,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB183) | (~v138(constB183))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 39.49/25.88 tff(26462,plain,
% 39.49/25.88 (~v138(constB183)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26461, 17055, 26458])).
% 39.49/25.88 tff(26463,plain,
% 39.49/25.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB183, bitIndex2)) | (~v145(constB183)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB183, bitIndex2)) | (~v145(constB183)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26464,plain,
% 39.49/25.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB183, bitIndex2)) | (~v145(constB183)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26465,plain,
% 39.49/25.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB183, bitIndex2)) | (~v145(constB183))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26464, 26463])).
% 39.49/25.88 tff(26466,plain,
% 39.49/25.88 (~v145(constB183)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26465, 5709, 21717])).
% 39.49/25.88 tff(26467,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB183) | (~v144(constB183)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB183) | (~v144(constB183)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26468,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB183) | (~v144(constB183)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26469,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB183) | (~v144(constB183))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26468, 26467])).
% 39.49/25.88 tff(26470,plain,
% 39.49/25.88 (~v144(constB183)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26469, 17003, 26466])).
% 39.49/25.88 tff(26471,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB183) | (~v142(constB183)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB183) | (~v142(constB183)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26472,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB183) | (~v142(constB183)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26473,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB183) | (~v142(constB183))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26472, 26471])).
% 39.49/25.88 tff(26474,plain,
% 39.49/25.88 (~v142(constB183)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26473, 17014, 26470])).
% 39.49/25.88 tff(26475,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB183) | v142(constB183) | (~v135(constB183)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB183) | v142(constB183) | (~v135(constB183)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26476,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB183) | v142(constB183) | (~v135(constB183)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26477,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB183) | v142(constB183) | (~v135(constB183))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26476, 26475])).
% 39.49/25.88 tff(26478,plain,
% 39.49/25.88 (v138(constB183) | (~v135(constB183))),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26477, 17028, 26474])).
% 39.49/25.88 tff(26479,plain,
% 39.49/25.88 (~v135(constB183)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26478, 26462])).
% 39.49/25.88 tff(26480,plain,
% 39.49/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB183, constB184)) | v135(constB183) | (~v137(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB183, constB184)) | v135(constB183) | (~v137(constB184)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26481,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB183, constB184)) | v135(constB183) | (~v137(constB184)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26482,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB183, constB184)) | v135(constB183) | (~v137(constB184))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26481, 26480])).
% 39.49/25.88 tff(26483,plain,
% 39.49/25.88 (v135(constB183) | (~v137(constB184))),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26482, 17043, 21753])).
% 39.49/25.88 tff(26484,plain,
% 39.49/25.88 (~v137(constB184)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26483, 26479])).
% 39.49/25.88 tff(26485,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB184) | (~v138(constB184)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB184) | (~v138(constB184)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26486,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB184) | (~v138(constB184)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26487,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB184) | (~v138(constB184))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26486, 26485])).
% 39.49/25.88 tff(26488,plain,
% 39.49/25.88 (~v138(constB184)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26487, 17055, 26484])).
% 39.49/25.88 tff(26489,plain,
% 39.49/25.88 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26490,plain,
% 39.49/25.88 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26491,plain,
% 39.49/25.88 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26490, 26489])).
% 39.49/25.88 tff(26492,plain,
% 39.49/25.88 (~v141(constB184)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26491, 17066, 21773])).
% 39.49/25.88 tff(26493,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB184) | (~v144(constB184)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB184) | (~v144(constB184)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26494,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB184) | (~v144(constB184)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26495,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB184) | (~v144(constB184))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26494, 26493])).
% 39.49/25.88 tff(26496,plain,
% 39.49/25.88 (~v144(constB184)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26495, 17077, 26492])).
% 39.49/25.88 tff(26497,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB184) | (~v142(constB184)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB184) | (~v142(constB184)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26498,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB184) | (~v142(constB184)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26499,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB184) | (~v142(constB184))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 39.49/25.88 tff(26500,plain,
% 39.49/25.88 (~v142(constB184)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26499, 17014, 26496])).
% 39.49/25.88 tff(26501,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB184) | v142(constB184) | (~v135(constB184)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB184) | v142(constB184) | (~v135(constB184)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26502,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB184) | v142(constB184) | (~v135(constB184)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26503,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB184) | v142(constB184) | (~v135(constB184))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26502, 26501])).
% 39.49/25.88 tff(26504,plain,
% 39.49/25.88 (v138(constB184) | (~v135(constB184))),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26503, 17028, 26500])).
% 39.49/25.88 tff(26505,plain,
% 39.49/25.88 (~v135(constB184)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26504, 26488])).
% 39.49/25.88 tff(26506,plain,
% 39.49/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB184, constB185)) | v135(constB184) | (~v137(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB184, constB185)) | v135(constB184) | (~v137(constB185)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26507,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB184, constB185)) | v135(constB184) | (~v137(constB185)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26508,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB184, constB185)) | v135(constB184) | (~v137(constB185))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26507, 26506])).
% 39.49/25.88 tff(26509,plain,
% 39.49/25.88 (v135(constB184) | (~v137(constB185))),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26508, 17043, 21815])).
% 39.49/25.88 tff(26510,plain,
% 39.49/25.88 (~v137(constB185)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26509, 26505])).
% 39.49/25.88 tff(26511,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB185) | (~v154(constB185)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB185) | (~v154(constB185)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26512,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB185) | (~v154(constB185)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26513,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB185) | (~v154(constB185))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 39.49/25.88 tff(26514,plain,
% 39.49/25.88 (~v154(constB185)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26513, 17105, 26510])).
% 39.49/25.88 tff(26515,assumption,(v18(constB186)), introduced(assumption)).
% 39.49/25.88 tff(26516,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB186))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26517,plain,
% 39.49/25.88 ($false),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26516, 8, 26515])).
% 39.49/25.88 tff(26518,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.88 tff(26519,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26520,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26521,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26520, 26519])).
% 39.49/25.88 tff(26522,plain,
% 39.49/25.88 (v22(constB186)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26521, 21, 21948])).
% 39.49/25.88 tff(26523,plain,
% 39.49/25.88 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26524,plain,
% 39.49/25.88 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26525,plain,
% 39.49/25.88 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186)),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26524, 26523])).
% 39.49/25.88 tff(26526,plain,
% 39.49/25.88 ((~v19(constB186)) | v18(constB186)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26525, 35, 26522])).
% 39.49/25.88 tff(26527,plain,
% 39.49/25.88 (~v19(constB186)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26526, 26518])).
% 39.49/25.88 tff(26528,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26529,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26530,plain,
% 39.49/25.88 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26529, 26528])).
% 39.49/25.88 tff(26531,plain,
% 39.49/25.88 (v13(constB186)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26530, 50, 26527])).
% 39.49/25.88 tff(26532,plain,
% 39.49/25.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 39.49/25.88 inference(rewrite,[status(thm)],[])).
% 39.49/25.88 tff(26533,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 39.49/25.88 inference(quant_inst,[status(thm)],[])).
% 39.49/25.88 tff(26534,plain,
% 39.49/25.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185)),
% 39.49/25.88 inference(modus_ponens,[status(thm)],[26533, 26532])).
% 39.49/25.88 tff(26535,plain,
% 39.49/25.88 ((~v13(constB186)) | v9(constB185)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26534, 67, 21928])).
% 39.49/25.88 tff(26536,plain,
% 39.49/25.88 (v9(constB185)),
% 39.49/25.88 inference(unit_resolution,[status(thm)],[26535, 26531])).
% 39.49/25.88 tff(26537,plain,
% 39.49/25.88 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26538,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26539,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26538, 26537])).
% 39.49/25.89 tff(26540,plain,
% 39.49/25.89 ((~v9(constB185)) | v141(constB185)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26539, 85, 21812])).
% 39.49/25.89 tff(26541,plain,
% 39.49/25.89 (v141(constB185)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26540, 26536])).
% 39.49/25.89 tff(26542,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB185) | (~v141(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB185) | (~v141(constB185)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26543,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB185) | (~v141(constB185)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26544,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB185) | (~v141(constB185))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26543, 26542])).
% 39.49/25.89 tff(26545,plain,
% 39.49/25.89 (v140(constB185)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26544, 97, 26541])).
% 39.49/25.89 tff(26546,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB185)) | (~v153(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB185)) | (~v153(constB185)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26547,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB185)) | (~v153(constB185)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26548,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB185)) | (~v153(constB185))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26547, 26546])).
% 39.49/25.89 tff(26549,plain,
% 39.49/25.89 (~v153(constB185)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26548, 17156, 26545])).
% 39.49/25.89 tff(26550,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB185) | v154(constB185) | (~v150(constB185)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB185) | v154(constB185) | (~v150(constB185)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26551,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB185) | v154(constB185) | (~v150(constB185)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26552,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB185) | v154(constB185) | (~v150(constB185))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26551, 26550])).
% 39.49/25.89 tff(26553,plain,
% 39.49/25.89 (v154(constB185) | (~v150(constB185))),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26552, 17170, 26549])).
% 39.49/25.89 tff(26554,plain,
% 39.49/25.89 (~v150(constB185)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26553, 26514])).
% 39.49/25.89 tff(26555,plain,
% 39.49/25.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB185, constB186)) | v150(constB185) | (~v152(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB185, constB186)) | v150(constB185) | (~v152(constB186)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26556,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB185, constB186)) | v150(constB185) | (~v152(constB186)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26557,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB185, constB186)) | v150(constB185) | (~v152(constB186))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26556, 26555])).
% 39.49/25.89 tff(26558,plain,
% 39.49/25.89 (v150(constB185) | (~v152(constB186))),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26557, 17185, 21928])).
% 39.49/25.89 tff(26559,plain,
% 39.49/25.89 (~v152(constB186)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26558, 26554])).
% 39.49/25.89 tff(26560,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB186) | (~v153(constB186)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB186) | (~v153(constB186)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26561,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB186) | (~v153(constB186)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26562,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB186) | (~v153(constB186))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26561, 26560])).
% 39.49/25.89 tff(26563,plain,
% 39.49/25.89 (~v153(constB186)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26562, 17197, 26559])).
% 39.49/25.89 tff(26564,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26565,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26566,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26565, 26564])).
% 39.49/25.89 tff(26567,plain,
% 39.49/25.89 (~v141(constB186)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26566, 17066, 21948])).
% 39.49/25.89 tff(26568,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB186) | (~v155(constB186)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB186) | (~v155(constB186)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26569,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB186) | (~v155(constB186)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26570,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB186) | (~v155(constB186))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26569, 26568])).
% 39.49/25.89 tff(26571,plain,
% 39.49/25.89 (~v155(constB186)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26570, 17212, 26567])).
% 39.49/25.89 tff(26572,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB186) | (~v154(constB186)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB186) | (~v154(constB186)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26573,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB186) | (~v154(constB186)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26574,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB186) | (~v154(constB186))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26573, 26572])).
% 39.49/25.89 tff(26575,plain,
% 39.49/25.89 (~v154(constB186)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26574, 17223, 26571])).
% 39.49/25.89 tff(26576,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB186) | v154(constB186) | (~v150(constB186)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB186) | v154(constB186) | (~v150(constB186)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26577,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB186) | v154(constB186) | (~v150(constB186)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26578,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB186) | v154(constB186) | (~v150(constB186))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26577, 26576])).
% 39.49/25.89 tff(26579,plain,
% 39.49/25.89 (v153(constB186) | (~v150(constB186))),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26578, 17170, 26575])).
% 39.49/25.89 tff(26580,plain,
% 39.49/25.89 (~v150(constB186)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26579, 26563])).
% 39.49/25.89 tff(26581,plain,
% 39.49/25.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB186, constB187)) | v150(constB186) | (~v152(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB186, constB187)) | v150(constB186) | (~v152(constB187)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26582,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB186, constB187)) | v150(constB186) | (~v152(constB187)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26583,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB186, constB187)) | v150(constB186) | (~v152(constB187))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26582, 26581])).
% 39.49/25.89 tff(26584,plain,
% 39.49/25.89 (v150(constB186) | (~v152(constB187))),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26583, 17185, 22020])).
% 39.49/25.89 tff(26585,plain,
% 39.49/25.89 (~v152(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26584, 26580])).
% 39.49/25.89 tff(26586,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB187) | (~v164(constB187)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB187) | (~v164(constB187)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26587,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB187) | (~v164(constB187)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26588,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB187) | (~v164(constB187))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26587, 26586])).
% 39.49/25.89 tff(26589,plain,
% 39.49/25.89 (~v164(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26588, 17247, 26585])).
% 39.49/25.89 tff(26590,assumption,(v18(constB188)), introduced(assumption)).
% 39.49/25.89 tff(26591,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB188))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26592,plain,
% 39.49/25.89 ($false),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26591, 8, 26590])).
% 39.49/25.89 tff(26593,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.89 tff(26594,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26595,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26596,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26595, 26594])).
% 39.49/25.89 tff(26597,plain,
% 39.49/25.89 (v22(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26596, 21, 22183])).
% 39.49/25.89 tff(26598,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB188)) | (~v22(constB188)) | v18(constB188))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB188)) | (~v22(constB188)) | v18(constB188))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26599,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB188)) | (~v22(constB188)) | v18(constB188))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26600,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB188)) | (~v22(constB188)) | v18(constB188)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26599, 26598])).
% 39.49/25.89 tff(26601,plain,
% 39.49/25.89 ((~v19(constB188)) | v18(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26600, 35, 26597])).
% 39.49/25.89 tff(26602,plain,
% 39.49/25.89 (~v19(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26601, 26593])).
% 39.49/25.89 tff(26603,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26604,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26605,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26604, 26603])).
% 39.49/25.89 tff(26606,plain,
% 39.49/25.89 (v13(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26605, 50, 26602])).
% 39.49/25.89 tff(26607,plain,
% 39.49/25.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26608,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26609,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26608, 26607])).
% 39.49/25.89 tff(26610,plain,
% 39.49/25.89 ((~v13(constB188)) | v9(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26609, 67, 22163])).
% 39.49/25.89 tff(26611,plain,
% 39.49/25.89 (v9(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26610, 26606])).
% 39.49/25.89 tff(26612,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26613,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26614,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26613, 26612])).
% 39.49/25.89 tff(26615,plain,
% 39.49/25.89 ((~v9(constB187)) | v141(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26614, 85, 22017])).
% 39.49/25.89 tff(26616,plain,
% 39.49/25.89 (v141(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26615, 26611])).
% 39.49/25.89 tff(26617,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB187) | (~v141(constB187)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26618,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB187) | (~v141(constB187)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26619,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB187) | (~v141(constB187))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26618, 26617])).
% 39.49/25.89 tff(26620,plain,
% 39.49/25.89 (v140(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26619, 97, 26616])).
% 39.49/25.89 tff(26621,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB187)) | (~v163(constB187)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB187)) | (~v163(constB187)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26622,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB187)) | (~v163(constB187)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26623,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB187)) | (~v163(constB187))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26622, 26621])).
% 39.49/25.89 tff(26624,plain,
% 39.49/25.89 (~v163(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26623, 17298, 26620])).
% 39.49/25.89 tff(26625,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB187)) | v163(constB187) | v164(constB187))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB187)) | v163(constB187) | v164(constB187))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26626,plain,
% 39.49/25.89 ((v164(constB187) | v163(constB187) | (~v160(constB187))) <=> ((~v160(constB187)) | v163(constB187) | v164(constB187))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26627,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB187) | v163(constB187) | (~v160(constB187)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB187)) | v163(constB187) | v164(constB187)))),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26626])).
% 39.49/25.89 tff(26628,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB187) | v163(constB187) | (~v160(constB187)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB187)) | v163(constB187) | v164(constB187))),
% 39.49/25.89 inference(transitivity,[status(thm)],[26627, 26625])).
% 39.49/25.89 tff(26629,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB187) | v163(constB187) | (~v160(constB187)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26630,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB187)) | v163(constB187) | v164(constB187)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26629, 26628])).
% 39.49/25.89 tff(26631,plain,
% 39.49/25.89 ((~v160(constB187)) | v164(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26630, 17312, 26624])).
% 39.49/25.89 tff(26632,plain,
% 39.49/25.89 (~v160(constB187)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26631, 26589])).
% 39.49/25.89 tff(26633,plain,
% 39.49/25.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB187, constB188)) | v160(constB187) | (~v162(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB187, constB188)) | v160(constB187) | (~v162(constB188)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26634,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB187, constB188)) | v160(constB187) | (~v162(constB188)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26635,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB187, constB188)) | v160(constB187) | (~v162(constB188))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26634, 26633])).
% 39.49/25.89 tff(26636,plain,
% 39.49/25.89 (v160(constB187) | (~v162(constB188))),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26635, 17330, 22163])).
% 39.49/25.89 tff(26637,plain,
% 39.49/25.89 (~v162(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26636, 26632])).
% 39.49/25.89 tff(26638,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB188) | (~v163(constB188)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB188) | (~v163(constB188)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26639,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB188) | (~v163(constB188)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26640,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB188) | (~v163(constB188))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26639, 26638])).
% 39.49/25.89 tff(26641,plain,
% 39.49/25.89 (~v163(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26640, 17342, 26637])).
% 39.49/25.89 tff(26642,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26643,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26644,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26643, 26642])).
% 39.49/25.89 tff(26645,plain,
% 39.49/25.89 (~v141(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26644, 17066, 22183])).
% 39.49/25.89 tff(26646,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB188) | (~v155(constB188)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB188) | (~v155(constB188)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26647,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB188) | (~v155(constB188)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26648,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB188) | (~v155(constB188))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26647, 26646])).
% 39.49/25.89 tff(26649,plain,
% 39.49/25.89 (~v155(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26648, 17212, 26645])).
% 39.49/25.89 tff(26650,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB188) | (~v164(constB188)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB188) | (~v164(constB188)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26651,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB188) | (~v164(constB188)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26652,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB188) | (~v164(constB188))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26651, 26650])).
% 39.49/25.89 tff(26653,plain,
% 39.49/25.89 (~v164(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26652, 17361, 26649])).
% 39.49/25.89 tff(26654,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB188)) | v164(constB188) | v163(constB188))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB188)) | v164(constB188) | v163(constB188))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26655,plain,
% 39.49/25.89 ((v164(constB188) | v163(constB188) | (~v160(constB188))) <=> ((~v160(constB188)) | v164(constB188) | v163(constB188))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26656,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB188) | v163(constB188) | (~v160(constB188)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB188)) | v164(constB188) | v163(constB188)))),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26655])).
% 39.49/25.89 tff(26657,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB188) | v163(constB188) | (~v160(constB188)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB188)) | v164(constB188) | v163(constB188))),
% 39.49/25.89 inference(transitivity,[status(thm)],[26656, 26654])).
% 39.49/25.89 tff(26658,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB188) | v163(constB188) | (~v160(constB188)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26659,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB188)) | v164(constB188) | v163(constB188)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 39.49/25.89 tff(26660,plain,
% 39.49/25.89 ((~v160(constB188)) | v163(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26659, 17312, 26653])).
% 39.49/25.89 tff(26661,plain,
% 39.49/25.89 (~v160(constB188)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26660, 26641])).
% 39.49/25.89 tff(26662,plain,
% 39.49/25.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB188, constB189)) | v160(constB188) | (~v162(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB188, constB189)) | v160(constB188) | (~v162(constB189)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26663,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB188, constB189)) | v160(constB188) | (~v162(constB189)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26664,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB188, constB189)) | v160(constB188) | (~v162(constB189))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26663, 26662])).
% 39.49/25.89 tff(26665,plain,
% 39.49/25.89 (v160(constB188) | (~v162(constB189))),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26664, 17330, 22232])).
% 39.49/25.89 tff(26666,plain,
% 39.49/25.89 (~v162(constB189)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26665, 26661])).
% 39.49/25.89 tff(26667,plain,
% 39.49/25.89 ($false),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26666, 26369])).
% 39.49/25.89 tff(26668,plain,(~(constB189 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.89 tff(26669,assumption,(constB14 = sK0_VarCurr), introduced(assumption)).
% 39.49/25.89 tff(26670,plain,
% 39.49/25.89 (v1(constB14) <=> v1(sK0_VarCurr)),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26669])).
% 39.49/25.89 tff(26671,plain,
% 39.49/25.89 (v1(sK0_VarCurr) <=> v1(constB14)),
% 39.49/25.89 inference(symmetry,[status(thm)],[26670])).
% 39.49/25.89 tff(26672,plain,
% 39.49/25.89 ((~v1(sK0_VarCurr)) <=> (~v1(constB14))),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26671])).
% 39.49/25.89 tff(26673,plain,
% 39.49/25.89 (~v1(constB14)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[23858, 26672])).
% 39.49/25.89 tff(26674,plain,
% 39.49/25.89 ($false),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[2106, 26673])).
% 39.49/25.89 tff(26675,plain,(~(constB14 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.89 tff(26676,assumption,(constB170 = sK0_VarCurr), introduced(assumption)).
% 39.49/25.89 tff(26677,plain,
% 39.49/25.89 (v1(constB170) <=> v1(sK0_VarCurr)),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26676])).
% 39.49/25.89 tff(26678,plain,
% 39.49/25.89 (v1(sK0_VarCurr) <=> v1(constB170)),
% 39.49/25.89 inference(symmetry,[status(thm)],[26677])).
% 39.49/25.89 tff(26679,plain,
% 39.49/25.89 ((~v1(sK0_VarCurr)) <=> (~v1(constB170))),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26678])).
% 39.49/25.89 tff(26680,plain,
% 39.49/25.89 (~v1(constB170)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[23858, 26679])).
% 39.49/25.89 tff(26681,plain,
% 39.49/25.89 ($false),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[17660, 26680])).
% 39.49/25.89 tff(26682,plain,(~(constB170 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.89 tff(26683,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 39.49/25.89 tff(26684,plain,
% 39.49/25.89 (v1(constB68) <=> v1(sK0_VarCurr)),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26683])).
% 39.49/25.89 tff(26685,plain,
% 39.49/25.89 (v1(sK0_VarCurr) <=> v1(constB68)),
% 39.49/25.89 inference(symmetry,[status(thm)],[26684])).
% 39.49/25.89 tff(26686,plain,
% 39.49/25.89 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26685])).
% 39.49/25.89 tff(26687,plain,
% 39.49/25.89 (~v1(constB68)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[23858, 26686])).
% 39.49/25.89 tff(26688,plain,
% 39.49/25.89 ($false),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[8229, 26687])).
% 39.49/25.89 tff(26689,plain,(~(constB68 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.89 tff(26690,assumption,(constB44 = sK0_VarCurr), introduced(assumption)).
% 39.49/25.89 tff(26691,plain,
% 39.49/25.89 (v1(constB44) <=> v1(sK0_VarCurr)),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26690])).
% 39.49/25.89 tff(26692,plain,
% 39.49/25.89 (v1(sK0_VarCurr) <=> v1(constB44)),
% 39.49/25.89 inference(symmetry,[status(thm)],[26691])).
% 39.49/25.89 tff(26693,plain,
% 39.49/25.89 ((~v1(sK0_VarCurr)) <=> (~v1(constB44))),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26692])).
% 39.49/25.89 tff(26694,plain,
% 39.49/25.89 (~v1(constB44)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[23858, 26693])).
% 39.49/25.89 tff(26695,plain,
% 39.49/25.89 ($false),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[5373, 26694])).
% 39.49/25.89 tff(26696,plain,(~(constB44 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.89 tff(26697,assumption,(constB146 = sK0_VarCurr), introduced(assumption)).
% 39.49/25.89 tff(26698,plain,
% 39.49/25.89 (v1(constB146) <=> v1(sK0_VarCurr)),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26697])).
% 39.49/25.89 tff(26699,plain,
% 39.49/25.89 (v1(sK0_VarCurr) <=> v1(constB146)),
% 39.49/25.89 inference(symmetry,[status(thm)],[26698])).
% 39.49/25.89 tff(26700,plain,
% 39.49/25.89 ((~v1(sK0_VarCurr)) <=> (~v1(constB146))),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26699])).
% 39.49/25.89 tff(26701,plain,
% 39.49/25.89 (~v1(constB146)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[23858, 26700])).
% 39.49/25.89 tff(26702,plain,
% 39.49/25.89 ($false),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[16704, 26701])).
% 39.49/25.89 tff(26703,plain,(~(constB146 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.89 tff(26704,assumption,(constB167 = sK0_VarCurr), introduced(assumption)).
% 39.49/25.89 tff(26705,plain,
% 39.49/25.89 (v162(constB167) <=> v162(sK0_VarCurr)),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26704])).
% 39.49/25.89 tff(26706,plain,
% 39.49/25.89 (v162(sK0_VarCurr) <=> v162(constB167)),
% 39.49/25.89 inference(symmetry,[status(thm)],[26705])).
% 39.49/25.89 tff(26707,plain,
% 39.49/25.89 (v162(constB167)),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[17398, 26706])).
% 39.49/25.89 tff(26708,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB161, bitIndex1)) | (~v145(constB161)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB161, bitIndex1)) | (~v145(constB161)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26709,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB161, bitIndex1)) | (~v145(constB161)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26710,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB161, bitIndex1)) | (~v145(constB161))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26709, 26708])).
% 39.49/25.89 tff(26711,plain,
% 39.49/25.89 (~v145(constB161)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26710, 1116, 18927])).
% 39.49/25.89 tff(26712,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB161) | (~v144(constB161)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB161) | (~v144(constB161)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26713,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB161) | (~v144(constB161)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26714,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB161) | (~v144(constB161))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26713, 26712])).
% 39.49/25.89 tff(26715,plain,
% 39.49/25.89 (~v144(constB161)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26714, 17003, 26711])).
% 39.49/25.89 tff(26716,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB161) | (~v142(constB161)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB161) | (~v142(constB161)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26717,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB161) | (~v142(constB161)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26718,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB161) | (~v142(constB161))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26717, 26716])).
% 39.49/25.89 tff(26719,plain,
% 39.49/25.89 (~v142(constB161)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26718, 17014, 26715])).
% 39.49/25.89 tff(26720,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB161)) | (~v140(constB161)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB161)) | (~v140(constB161)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26721,plain,
% 39.49/25.89 (((~v140(constB161)) | (~v138(constB161))) <=> ((~v138(constB161)) | (~v140(constB161)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26722,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB161)) | (~v138(constB161)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB161)) | (~v140(constB161))))),
% 39.49/25.89 inference(monotonicity,[status(thm)],[26721])).
% 39.49/25.89 tff(26723,plain,
% 39.49/25.89 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB161)) | (~v138(constB161)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB161)) | (~v140(constB161)))),
% 39.49/25.89 inference(transitivity,[status(thm)],[26722, 26720])).
% 39.49/25.89 tff(26724,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB161)) | (~v138(constB161)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26725,plain,
% 39.49/25.89 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB161)) | (~v140(constB161))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26724, 26723])).
% 39.49/25.89 tff(26726,plain,
% 39.49/25.89 (~v138(constB161)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26725, 108, 24505])).
% 39.49/25.89 tff(26727,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB161) | v142(constB161) | (~v135(constB161)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB161) | v142(constB161) | (~v135(constB161)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26728,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB161) | v142(constB161) | (~v135(constB161)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26729,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB161) | v142(constB161) | (~v135(constB161))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26728, 26727])).
% 39.49/25.89 tff(26730,plain,
% 39.49/25.89 (v142(constB161) | (~v135(constB161))),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26729, 17028, 26726])).
% 39.49/25.89 tff(26731,plain,
% 39.49/25.89 (~v135(constB161)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26730, 26719])).
% 39.49/25.89 tff(26732,plain,
% 39.49/25.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB161, constB162)) | v135(constB161) | (~v137(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB161, constB162)) | v135(constB161) | (~v137(constB162)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26733,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB161, constB162)) | v135(constB161) | (~v137(constB162)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26734,plain,
% 39.49/25.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB161, constB162)) | v135(constB161) | (~v137(constB162))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26733, 26732])).
% 39.49/25.89 tff(26735,plain,
% 39.49/25.89 (v135(constB161) | (~v137(constB162))),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26734, 17043, 18997])).
% 39.49/25.89 tff(26736,plain,
% 39.49/25.89 (~v137(constB162)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26735, 26731])).
% 39.49/25.89 tff(26737,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB162) | (~v138(constB162)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB162) | (~v138(constB162)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26738,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB162) | (~v138(constB162)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26739,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB162) | (~v138(constB162))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26738, 26737])).
% 39.49/25.89 tff(26740,plain,
% 39.49/25.89 (~v138(constB162)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26739, 17055, 26736])).
% 39.49/25.89 tff(26741,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB162) | (~v144(constB162)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB162) | (~v144(constB162)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.89 tff(26742,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB162) | (~v144(constB162)))),
% 39.49/25.89 inference(quant_inst,[status(thm)],[])).
% 39.49/25.89 tff(26743,plain,
% 39.49/25.89 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB162) | (~v144(constB162))),
% 39.49/25.89 inference(modus_ponens,[status(thm)],[26742, 26741])).
% 39.49/25.89 tff(26744,plain,
% 39.49/25.89 (~v144(constB162)),
% 39.49/25.89 inference(unit_resolution,[status(thm)],[26743, 17077, 24527])).
% 39.49/25.89 tff(26745,plain,
% 39.49/25.89 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB162) | (~v142(constB162)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB162) | (~v142(constB162)))),
% 39.49/25.89 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26746,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB162) | (~v142(constB162)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26747,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB162) | (~v142(constB162))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26746, 26745])).
% 39.49/25.90 tff(26748,plain,
% 39.49/25.90 (~v142(constB162)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26747, 17014, 26744])).
% 39.49/25.90 tff(26749,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB162) | v142(constB162) | (~v135(constB162)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB162) | v142(constB162) | (~v135(constB162)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26750,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB162) | v142(constB162) | (~v135(constB162)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26751,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB162) | v142(constB162) | (~v135(constB162))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26750, 26749])).
% 39.49/25.90 tff(26752,plain,
% 39.49/25.90 (v138(constB162) | (~v135(constB162))),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26751, 17028, 26748])).
% 39.49/25.90 tff(26753,plain,
% 39.49/25.90 (~v135(constB162)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26752, 26740])).
% 39.49/25.90 tff(26754,plain,
% 39.49/25.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB162, constB163)) | v135(constB162) | (~v137(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB162, constB163)) | v135(constB162) | (~v137(constB163)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26755,plain,
% 39.49/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB162, constB163)) | v135(constB162) | (~v137(constB163)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26756,plain,
% 39.49/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB162, constB163)) | v135(constB162) | (~v137(constB163))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26755, 26754])).
% 39.49/25.90 tff(26757,plain,
% 39.49/25.90 (v135(constB162) | (~v137(constB163))),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26756, 17043, 19059])).
% 39.49/25.90 tff(26758,plain,
% 39.49/25.90 (~v137(constB163)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26757, 26753])).
% 39.49/25.90 tff(26759,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB163) | (~v154(constB163)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB163) | (~v154(constB163)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26760,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB163) | (~v154(constB163)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26761,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB163) | (~v154(constB163))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26760, 26759])).
% 39.49/25.90 tff(26762,plain,
% 39.49/25.90 (~v154(constB163)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26761, 17105, 26758])).
% 39.49/25.90 tff(26763,plain,
% 39.49/25.90 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB163)) | (~v153(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB163)) | (~v153(constB163)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26764,plain,
% 39.49/25.90 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB163)) | (~v153(constB163)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26765,plain,
% 39.49/25.90 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB163)) | (~v153(constB163))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26764, 26763])).
% 39.49/25.90 tff(26766,plain,
% 39.49/25.90 (~v153(constB163)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26765, 17156, 24580])).
% 39.49/25.90 tff(26767,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB163) | v154(constB163) | (~v150(constB163)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB163) | v154(constB163) | (~v150(constB163)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26768,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB163) | v154(constB163) | (~v150(constB163)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26769,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB163) | v154(constB163) | (~v150(constB163))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26768, 26767])).
% 39.49/25.90 tff(26770,plain,
% 39.49/25.90 (v154(constB163) | (~v150(constB163))),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26769, 17170, 26766])).
% 39.49/25.90 tff(26771,plain,
% 39.49/25.90 (~v150(constB163)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26770, 26762])).
% 39.49/25.90 tff(26772,plain,
% 39.49/25.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB163, constB164)) | v150(constB163) | (~v152(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB163, constB164)) | v150(constB163) | (~v152(constB164)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26773,plain,
% 39.49/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB163, constB164)) | v150(constB163) | (~v152(constB164)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26774,plain,
% 39.49/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB163, constB164)) | v150(constB163) | (~v152(constB164))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26773, 26772])).
% 39.49/25.90 tff(26775,plain,
% 39.49/25.90 (v150(constB163) | (~v152(constB164))),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26774, 17185, 19181])).
% 39.49/25.90 tff(26776,plain,
% 39.49/25.90 (~v152(constB164)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26775, 26771])).
% 39.49/25.90 tff(26777,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB164) | (~v153(constB164)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB164) | (~v153(constB164)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26778,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB164) | (~v153(constB164)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26779,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB164) | (~v153(constB164))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26778, 26777])).
% 39.49/25.90 tff(26780,plain,
% 39.49/25.90 (~v153(constB164)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26779, 17197, 26776])).
% 39.49/25.90 tff(26781,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB164) | (~v154(constB164)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB164) | (~v154(constB164)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26782,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB164) | (~v154(constB164)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26783,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB164) | (~v154(constB164))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26782, 26781])).
% 39.49/25.90 tff(26784,plain,
% 39.49/25.90 (~v154(constB164)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26783, 17223, 24609])).
% 39.49/25.90 tff(26785,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB164) | v154(constB164) | (~v150(constB164)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB164) | v154(constB164) | (~v150(constB164)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26786,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB164) | v154(constB164) | (~v150(constB164)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26787,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB164) | v154(constB164) | (~v150(constB164))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26786, 26785])).
% 39.49/25.90 tff(26788,plain,
% 39.49/25.90 (v153(constB164) | (~v150(constB164))),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26787, 17170, 26784])).
% 39.49/25.90 tff(26789,plain,
% 39.49/25.90 (~v150(constB164)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26788, 26780])).
% 39.49/25.90 tff(26790,plain,
% 39.49/25.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB164, constB165)) | v150(constB164) | (~v152(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB164, constB165)) | v150(constB164) | (~v152(constB165)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26791,plain,
% 39.49/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB164, constB165)) | v150(constB164) | (~v152(constB165)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26792,plain,
% 39.49/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB164, constB165)) | v150(constB164) | (~v152(constB165))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26791, 26790])).
% 39.49/25.90 tff(26793,plain,
% 39.49/25.90 (v150(constB164) | (~v152(constB165))),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26792, 17185, 19243])).
% 39.49/25.90 tff(26794,plain,
% 39.49/25.90 (~v152(constB165)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26793, 26789])).
% 39.49/25.90 tff(26795,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB165) | (~v164(constB165)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB165) | (~v164(constB165)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26796,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB165) | (~v164(constB165)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26797,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB165) | (~v164(constB165))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26796, 26795])).
% 39.49/25.90 tff(26798,plain,
% 39.49/25.90 (~v164(constB165)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26797, 17247, 26794])).
% 39.49/25.90 tff(26799,assumption,(v18(constB166)), introduced(assumption)).
% 39.49/25.90 tff(26800,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB166))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26801,plain,
% 39.49/25.90 ($false),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26800, 8, 26799])).
% 39.49/25.90 tff(26802,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 39.49/25.90 tff(26803,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26804,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26805,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26804, 26803])).
% 39.49/25.90 tff(26806,plain,
% 39.49/25.90 (v22(constB166)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26805, 21, 19411])).
% 39.49/25.90 tff(26807,plain,
% 39.49/25.90 (((~![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))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26808,plain,
% 39.49/25.90 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB166)) | (~v22(constB166)) | v18(constB166))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26809,plain,
% 39.49/25.90 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB166)) | (~v22(constB166)) | v18(constB166)),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26808, 26807])).
% 39.49/25.90 tff(26810,plain,
% 39.49/25.90 ((~v19(constB166)) | v18(constB166)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26809, 35, 26806])).
% 39.49/25.90 tff(26811,plain,
% 39.49/25.90 (~v19(constB166)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26810, 26802])).
% 39.49/25.90 tff(26812,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26813,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26814,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26813, 26812])).
% 39.49/25.90 tff(26815,plain,
% 39.49/25.90 (v13(constB166)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26814, 50, 26811])).
% 39.49/25.90 tff(26816,plain,
% 39.49/25.90 (((~![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))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26817,plain,
% 39.49/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26818,plain,
% 39.49/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165)),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26817, 26816])).
% 39.49/25.90 tff(26819,plain,
% 39.49/25.90 ((~v13(constB166)) | v9(constB165)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26818, 67, 19385])).
% 39.49/25.90 tff(26820,plain,
% 39.49/25.90 (v9(constB165)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26819, 26815])).
% 39.49/25.90 tff(26821,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v141(constB165))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB165) | (~v9(constB165)) | v141(constB165))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26822,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v141(constB165))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26823,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB165) | (~v9(constB165)) | v141(constB165)),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26822, 26821])).
% 39.49/25.90 tff(26824,plain,
% 39.49/25.90 ((~v9(constB165)) | v141(constB165)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26823, 85, 19240])).
% 39.49/25.90 tff(26825,plain,
% 39.49/25.90 (v141(constB165)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26824, 26820])).
% 39.49/25.90 tff(26826,plain,
% 39.49/25.90 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB165) | (~v141(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB165) | (~v141(constB165)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26827,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB165) | (~v141(constB165)))),
% 39.49/25.90 inference(quant_inst,[status(thm)],[])).
% 39.49/25.90 tff(26828,plain,
% 39.49/25.90 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB165) | (~v141(constB165))),
% 39.49/25.90 inference(modus_ponens,[status(thm)],[26827, 26826])).
% 39.49/25.90 tff(26829,plain,
% 39.49/25.90 (v140(constB165)),
% 39.49/25.90 inference(unit_resolution,[status(thm)],[26828, 97, 26825])).
% 39.49/25.90 tff(26830,plain,
% 39.49/25.90 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB165)) | (~v163(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB165)) | (~v163(constB165)))),
% 39.49/25.90 inference(rewrite,[status(thm)],[])).
% 39.49/25.90 tff(26831,plain,
% 39.49/25.90 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB165)) | (~v163(constB165)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26832,plain,
% 39.51/25.90 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB165)) | (~v163(constB165))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26831, 26830])).
% 39.51/25.90 tff(26833,plain,
% 39.51/25.90 (~v163(constB165)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26832, 17298, 26829])).
% 39.51/25.90 tff(26834,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB165)) | v163(constB165) | v164(constB165))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB165)) | v163(constB165) | v164(constB165))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26835,plain,
% 39.51/25.90 ((v164(constB165) | v163(constB165) | (~v160(constB165))) <=> ((~v160(constB165)) | v163(constB165) | v164(constB165))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26836,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB165) | v163(constB165) | (~v160(constB165)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB165)) | v163(constB165) | v164(constB165)))),
% 39.51/25.90 inference(monotonicity,[status(thm)],[26835])).
% 39.51/25.90 tff(26837,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB165) | v163(constB165) | (~v160(constB165)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB165)) | v163(constB165) | v164(constB165))),
% 39.51/25.90 inference(transitivity,[status(thm)],[26836, 26834])).
% 39.51/25.90 tff(26838,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB165) | v163(constB165) | (~v160(constB165)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26839,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB165)) | v163(constB165) | v164(constB165)),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26838, 26837])).
% 39.51/25.90 tff(26840,plain,
% 39.51/25.90 ((~v160(constB165)) | v164(constB165)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26839, 17312, 26833])).
% 39.51/25.90 tff(26841,plain,
% 39.51/25.90 (~v160(constB165)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26840, 26798])).
% 39.51/25.90 tff(26842,plain,
% 39.51/25.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB165, constB166)) | v160(constB165) | (~v162(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB165, constB166)) | v160(constB165) | (~v162(constB166)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26843,plain,
% 39.51/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB165, constB166)) | v160(constB165) | (~v162(constB166)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26844,plain,
% 39.51/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB165, constB166)) | v160(constB165) | (~v162(constB166))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26843, 26842])).
% 39.51/25.90 tff(26845,plain,
% 39.51/25.90 (v160(constB165) | (~v162(constB166))),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26844, 17330, 19385])).
% 39.51/25.90 tff(26846,plain,
% 39.51/25.90 (~v162(constB166)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26845, 26841])).
% 39.51/25.90 tff(26847,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB166) | (~v163(constB166)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB166) | (~v163(constB166)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26848,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB166) | (~v163(constB166)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26849,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB166) | (~v163(constB166))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26848, 26847])).
% 39.51/25.90 tff(26850,plain,
% 39.51/25.90 (~v163(constB166)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26849, 17342, 26846])).
% 39.51/25.90 tff(26851,plain,
% 39.51/25.90 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB166)) | (~v141(constB166)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB166)) | (~v141(constB166)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26852,plain,
% 39.51/25.90 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB166)) | (~v141(constB166)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26853,plain,
% 39.51/25.90 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB166)) | (~v141(constB166))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26852, 26851])).
% 39.51/25.90 tff(26854,plain,
% 39.51/25.90 (~v141(constB166)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26853, 17066, 19411])).
% 39.51/25.90 tff(26855,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB166) | (~v155(constB166)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB166) | (~v155(constB166)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26856,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB166) | (~v155(constB166)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26857,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB166) | (~v155(constB166))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26856, 26855])).
% 39.51/25.90 tff(26858,plain,
% 39.51/25.90 (~v155(constB166)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26857, 17212, 26854])).
% 39.51/25.90 tff(26859,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB166) | (~v164(constB166)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB166) | (~v164(constB166)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26860,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB166) | (~v164(constB166)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26861,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB166) | (~v164(constB166))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26860, 26859])).
% 39.51/25.90 tff(26862,plain,
% 39.51/25.90 (~v164(constB166)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26861, 17361, 26858])).
% 39.51/25.90 tff(26863,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB166)) | v164(constB166) | v163(constB166))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB166)) | v164(constB166) | v163(constB166))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26864,plain,
% 39.51/25.90 ((v164(constB166) | v163(constB166) | (~v160(constB166))) <=> ((~v160(constB166)) | v164(constB166) | v163(constB166))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26865,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB166) | v163(constB166) | (~v160(constB166)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB166)) | v164(constB166) | v163(constB166)))),
% 39.51/25.90 inference(monotonicity,[status(thm)],[26864])).
% 39.51/25.90 tff(26866,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB166) | v163(constB166) | (~v160(constB166)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB166)) | v164(constB166) | v163(constB166))),
% 39.51/25.90 inference(transitivity,[status(thm)],[26865, 26863])).
% 39.51/25.90 tff(26867,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB166) | v163(constB166) | (~v160(constB166)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26868,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB166)) | v164(constB166) | v163(constB166)),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26867, 26866])).
% 39.51/25.90 tff(26869,plain,
% 39.51/25.90 ((~v160(constB166)) | v163(constB166)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26868, 17312, 26862])).
% 39.51/25.90 tff(26870,plain,
% 39.51/25.90 (~v160(constB166)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26869, 26850])).
% 39.51/25.90 tff(26871,plain,
% 39.51/25.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB166, constB167)) | v160(constB166) | (~v162(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB166, constB167)) | v160(constB166) | (~v162(constB167)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26872,plain,
% 39.51/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB166, constB167)) | v160(constB166) | (~v162(constB167)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26873,plain,
% 39.51/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB166, constB167)) | v160(constB166) | (~v162(constB167))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26872, 26871])).
% 39.51/25.90 tff(26874,plain,
% 39.51/25.90 (v160(constB166) | (~v162(constB167))),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26873, 17330, 19445])).
% 39.51/25.90 tff(26875,plain,
% 39.51/25.90 (~v162(constB167)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26874, 26870])).
% 39.51/25.90 tff(26876,plain,
% 39.51/25.90 ($false),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26875, 26707])).
% 39.51/25.90 tff(26877,plain,(~(constB167 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.51/25.90 tff(26878,assumption,(constB27 = sK0_VarCurr), introduced(assumption)).
% 39.51/25.90 tff(26879,plain,
% 39.51/25.90 (v162(constB27) <=> v162(sK0_VarCurr)),
% 39.51/25.90 inference(monotonicity,[status(thm)],[26878])).
% 39.51/25.90 tff(26880,plain,
% 39.51/25.90 (v162(sK0_VarCurr) <=> v162(constB27)),
% 39.51/25.90 inference(symmetry,[status(thm)],[26879])).
% 39.51/25.90 tff(26881,plain,
% 39.51/25.90 (v162(constB27)),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[17398, 26880])).
% 39.51/25.90 tff(26882,plain,
% 39.51/25.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB21, bitIndex1)) | (~v145(constB21)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB21, bitIndex1)) | (~v145(constB21)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26883,plain,
% 39.51/25.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB21, bitIndex1)) | (~v145(constB21)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26884,plain,
% 39.51/25.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB21, bitIndex1)) | (~v145(constB21))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26883, 26882])).
% 39.51/25.90 tff(26885,plain,
% 39.51/25.90 (~v145(constB21)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26884, 1116, 3023])).
% 39.51/25.90 tff(26886,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB21) | (~v144(constB21)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB21) | (~v144(constB21)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26887,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB21) | (~v144(constB21)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26888,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB21) | (~v144(constB21))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26887, 26886])).
% 39.51/25.90 tff(26889,plain,
% 39.51/25.90 (~v144(constB21)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26888, 17003, 26885])).
% 39.51/25.90 tff(26890,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB21) | (~v142(constB21)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB21) | (~v142(constB21)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26891,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB21) | (~v142(constB21)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26892,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB21) | (~v142(constB21))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26891, 26890])).
% 39.51/25.90 tff(26893,plain,
% 39.51/25.90 (~v142(constB21)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26892, 17014, 26889])).
% 39.51/25.90 tff(26894,plain,
% 39.51/25.90 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB21)) | (~v140(constB21)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB21)) | (~v140(constB21)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26895,plain,
% 39.51/25.90 (((~v140(constB21)) | (~v138(constB21))) <=> ((~v138(constB21)) | (~v140(constB21)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26896,plain,
% 39.51/25.90 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB21)) | (~v138(constB21)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB21)) | (~v140(constB21))))),
% 39.51/25.90 inference(monotonicity,[status(thm)],[26895])).
% 39.51/25.90 tff(26897,plain,
% 39.51/25.90 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB21)) | (~v138(constB21)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB21)) | (~v140(constB21)))),
% 39.51/25.90 inference(transitivity,[status(thm)],[26896, 26894])).
% 39.51/25.90 tff(26898,plain,
% 39.51/25.90 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB21)) | (~v138(constB21)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26899,plain,
% 39.51/25.90 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB21)) | (~v140(constB21))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26898, 26897])).
% 39.51/25.90 tff(26900,plain,
% 39.51/25.90 (~v138(constB21)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26899, 108, 23320])).
% 39.51/25.90 tff(26901,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB21) | v142(constB21) | (~v135(constB21)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB21) | v142(constB21) | (~v135(constB21)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26902,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB21) | v142(constB21) | (~v135(constB21)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26903,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB21) | v142(constB21) | (~v135(constB21))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26902, 26901])).
% 39.51/25.90 tff(26904,plain,
% 39.51/25.90 (v142(constB21) | (~v135(constB21))),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26903, 17028, 26900])).
% 39.51/25.90 tff(26905,plain,
% 39.51/25.90 (~v135(constB21)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26904, 26893])).
% 39.51/25.90 tff(26906,plain,
% 39.51/25.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26907,plain,
% 39.51/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26908,plain,
% 39.51/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26907, 26906])).
% 39.51/25.90 tff(26909,plain,
% 39.51/25.90 (v135(constB21) | (~v137(constB22))),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26908, 17043, 3090])).
% 39.51/25.90 tff(26910,plain,
% 39.51/25.90 (~v137(constB22)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26909, 26905])).
% 39.51/25.90 tff(26911,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB22) | (~v138(constB22)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB22) | (~v138(constB22)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26912,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB22) | (~v138(constB22)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26913,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB22) | (~v138(constB22))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26912, 26911])).
% 39.51/25.90 tff(26914,plain,
% 39.51/25.90 (~v138(constB22)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26913, 17055, 26910])).
% 39.51/25.90 tff(26915,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB22) | (~v144(constB22)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB22) | (~v144(constB22)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26916,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB22) | (~v144(constB22)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26917,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB22) | (~v144(constB22))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26916, 26915])).
% 39.51/25.90 tff(26918,plain,
% 39.51/25.90 (~v144(constB22)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26917, 17077, 23342])).
% 39.51/25.90 tff(26919,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB22) | (~v142(constB22)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB22) | (~v142(constB22)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26920,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB22) | (~v142(constB22)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26921,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB22) | (~v142(constB22))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26920, 26919])).
% 39.51/25.90 tff(26922,plain,
% 39.51/25.90 (~v142(constB22)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26921, 17014, 26918])).
% 39.51/25.90 tff(26923,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB22) | v142(constB22) | (~v135(constB22)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB22) | v142(constB22) | (~v135(constB22)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26924,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB22) | v142(constB22) | (~v135(constB22)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26925,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB22) | v142(constB22) | (~v135(constB22))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26924, 26923])).
% 39.51/25.90 tff(26926,plain,
% 39.51/25.90 (v138(constB22) | (~v135(constB22))),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26925, 17028, 26922])).
% 39.51/25.90 tff(26927,plain,
% 39.51/25.90 (~v135(constB22)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26926, 26914])).
% 39.51/25.90 tff(26928,plain,
% 39.51/25.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26929,plain,
% 39.51/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26930,plain,
% 39.51/25.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26929, 26928])).
% 39.51/25.90 tff(26931,plain,
% 39.51/25.90 (v135(constB22) | (~v137(constB23))),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26930, 17043, 3152])).
% 39.51/25.90 tff(26932,plain,
% 39.51/25.90 (~v137(constB23)),
% 39.51/25.90 inference(unit_resolution,[status(thm)],[26931, 26927])).
% 39.51/25.90 tff(26933,plain,
% 39.51/25.90 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB23) | (~v154(constB23)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB23) | (~v154(constB23)))),
% 39.51/25.90 inference(rewrite,[status(thm)],[])).
% 39.51/25.90 tff(26934,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB23) | (~v154(constB23)))),
% 39.51/25.90 inference(quant_inst,[status(thm)],[])).
% 39.51/25.90 tff(26935,plain,
% 39.51/25.90 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB23) | (~v154(constB23))),
% 39.51/25.90 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 39.51/25.90 tff(26936,plain,
% 39.51/25.90 (~v154(constB23)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26935, 17105, 26932])).
% 39.51/25.91 tff(26937,plain,
% 39.51/25.91 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB23)) | (~v153(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB23)) | (~v153(constB23)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26938,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB23)) | (~v153(constB23)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26939,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB23)) | (~v153(constB23))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26938, 26937])).
% 39.51/25.91 tff(26940,plain,
% 39.51/25.91 (~v153(constB23)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26939, 17156, 23395])).
% 39.51/25.91 tff(26941,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB23) | v154(constB23) | (~v150(constB23)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB23) | v154(constB23) | (~v150(constB23)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26942,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB23) | v154(constB23) | (~v150(constB23)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26943,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB23) | v154(constB23) | (~v150(constB23))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26942, 26941])).
% 39.51/25.91 tff(26944,plain,
% 39.51/25.91 (v154(constB23) | (~v150(constB23))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26943, 17170, 26940])).
% 39.51/25.91 tff(26945,plain,
% 39.51/25.91 (~v150(constB23)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26944, 26936])).
% 39.51/25.91 tff(26946,plain,
% 39.51/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB23, constB24)) | v150(constB23) | (~v152(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB23, constB24)) | v150(constB23) | (~v152(constB24)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26947,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB23, constB24)) | v150(constB23) | (~v152(constB24)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26948,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB23, constB24)) | v150(constB23) | (~v152(constB24))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26947, 26946])).
% 39.51/25.91 tff(26949,plain,
% 39.51/25.91 (v150(constB23) | (~v152(constB24))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26948, 17185, 3276])).
% 39.51/25.91 tff(26950,plain,
% 39.51/25.91 (~v152(constB24)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26949, 26945])).
% 39.51/25.91 tff(26951,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB24) | (~v153(constB24)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB24) | (~v153(constB24)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26952,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB24) | (~v153(constB24)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26953,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB24) | (~v153(constB24))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26952, 26951])).
% 39.51/25.91 tff(26954,plain,
% 39.51/25.91 (~v153(constB24)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26953, 17197, 26950])).
% 39.51/25.91 tff(26955,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB24) | (~v154(constB24)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB24) | (~v154(constB24)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26956,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB24) | (~v154(constB24)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26957,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB24) | (~v154(constB24))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26956, 26955])).
% 39.51/25.91 tff(26958,plain,
% 39.51/25.91 (~v154(constB24)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26957, 17223, 23424])).
% 39.51/25.91 tff(26959,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB24) | v154(constB24) | (~v150(constB24)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB24) | v154(constB24) | (~v150(constB24)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26960,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB24) | v154(constB24) | (~v150(constB24)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26961,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB24) | v154(constB24) | (~v150(constB24))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26960, 26959])).
% 39.51/25.91 tff(26962,plain,
% 39.51/25.91 (v153(constB24) | (~v150(constB24))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26961, 17170, 26958])).
% 39.51/25.91 tff(26963,plain,
% 39.51/25.91 (~v150(constB24)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26962, 26954])).
% 39.51/25.91 tff(26964,plain,
% 39.51/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB24, constB25)) | v150(constB24) | (~v152(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB24, constB25)) | v150(constB24) | (~v152(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26965,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB24, constB25)) | v150(constB24) | (~v152(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26966,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB24, constB25)) | v150(constB24) | (~v152(constB25))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26965, 26964])).
% 39.51/25.91 tff(26967,plain,
% 39.51/25.91 (v150(constB24) | (~v152(constB25))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26966, 17185, 3338])).
% 39.51/25.91 tff(26968,plain,
% 39.51/25.91 (~v152(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26967, 26963])).
% 39.51/25.91 tff(26969,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB25) | (~v164(constB25)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB25) | (~v164(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26970,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB25) | (~v164(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26971,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB25) | (~v164(constB25))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 39.51/25.91 tff(26972,plain,
% 39.51/25.91 (~v164(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26971, 17247, 26968])).
% 39.51/25.91 tff(26973,assumption,(v18(constB26)), introduced(assumption)).
% 39.51/25.91 tff(26974,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB26))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26975,plain,
% 39.51/25.91 ($false),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26974, 8, 26973])).
% 39.51/25.91 tff(26976,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 39.51/25.91 tff(26977,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26978,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26979,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26978, 26977])).
% 39.51/25.91 tff(26980,plain,
% 39.51/25.91 (v22(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26979, 21, 3468])).
% 39.51/25.91 tff(26981,plain,
% 39.51/25.91 (((~![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))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26982,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB26)) | (~v22(constB26)) | v18(constB26))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26983,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB26)) | (~v22(constB26)) | v18(constB26)),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26982, 26981])).
% 39.51/25.91 tff(26984,plain,
% 39.51/25.91 ((~v19(constB26)) | v18(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26983, 35, 26980])).
% 39.51/25.91 tff(26985,plain,
% 39.51/25.91 (~v19(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26984, 26976])).
% 39.51/25.91 tff(26986,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26987,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26988,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26987, 26986])).
% 39.51/25.91 tff(26989,plain,
% 39.51/25.91 (v13(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26988, 50, 26985])).
% 39.51/25.91 tff(26990,plain,
% 39.51/25.91 (((~![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))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26991,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26992,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25)),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26991, 26990])).
% 39.51/25.91 tff(26993,plain,
% 39.51/25.91 ((~v13(constB26)) | v9(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26992, 67, 3448])).
% 39.51/25.91 tff(26994,plain,
% 39.51/25.91 (v9(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26993, 26989])).
% 39.51/25.91 tff(26995,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v141(constB25))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB25) | (~v9(constB25)) | v141(constB25))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(26996,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v141(constB25))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(26997,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB25) | (~v9(constB25)) | v141(constB25)),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[26996, 26995])).
% 39.51/25.91 tff(26998,plain,
% 39.51/25.91 ((~v9(constB25)) | v141(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26997, 85, 3335])).
% 39.51/25.91 tff(26999,plain,
% 39.51/25.91 (v141(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[26998, 26994])).
% 39.51/25.91 tff(27000,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB25) | (~v141(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB25) | (~v141(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27001,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB25) | (~v141(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27002,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB25) | (~v141(constB25))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27001, 27000])).
% 39.51/25.91 tff(27003,plain,
% 39.51/25.91 (v140(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27002, 97, 26999])).
% 39.51/25.91 tff(27004,plain,
% 39.51/25.91 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB25)) | (~v163(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB25)) | (~v163(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27005,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB25)) | (~v163(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27006,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB25)) | (~v163(constB25))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27005, 27004])).
% 39.51/25.91 tff(27007,plain,
% 39.51/25.91 (~v163(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27006, 17298, 27003])).
% 39.51/25.91 tff(27008,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB25)) | v164(constB25) | v163(constB25))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB25)) | v164(constB25) | v163(constB25))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27009,plain,
% 39.51/25.91 ((v164(constB25) | v163(constB25) | (~v160(constB25))) <=> ((~v160(constB25)) | v164(constB25) | v163(constB25))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27010,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB25) | v163(constB25) | (~v160(constB25)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB25)) | v164(constB25) | v163(constB25)))),
% 39.51/25.91 inference(monotonicity,[status(thm)],[27009])).
% 39.51/25.91 tff(27011,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB25) | v163(constB25) | (~v160(constB25)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB25)) | v164(constB25) | v163(constB25))),
% 39.51/25.91 inference(transitivity,[status(thm)],[27010, 27008])).
% 39.51/25.91 tff(27012,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB25) | v163(constB25) | (~v160(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27013,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB25)) | v164(constB25) | v163(constB25)),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27012, 27011])).
% 39.51/25.91 tff(27014,plain,
% 39.51/25.91 ((~v160(constB25)) | v164(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27013, 17312, 27007])).
% 39.51/25.91 tff(27015,plain,
% 39.51/25.91 (~v160(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27014, 26972])).
% 39.51/25.91 tff(27016,plain,
% 39.51/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB25, constB26)) | v160(constB25) | (~v162(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB25, constB26)) | v160(constB25) | (~v162(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27017,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB25, constB26)) | v160(constB25) | (~v162(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27018,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB25, constB26)) | v160(constB25) | (~v162(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27017, 27016])).
% 39.51/25.91 tff(27019,plain,
% 39.51/25.91 (v160(constB25) | (~v162(constB26))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27018, 17330, 3448])).
% 39.51/25.91 tff(27020,plain,
% 39.51/25.91 (~v162(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27019, 27015])).
% 39.51/25.91 tff(27021,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB26) | (~v163(constB26)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB26) | (~v163(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27022,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB26) | (~v163(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27023,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB26) | (~v163(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27022, 27021])).
% 39.51/25.91 tff(27024,plain,
% 39.51/25.91 (~v163(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27023, 17342, 27020])).
% 39.51/25.91 tff(27025,plain,
% 39.51/25.91 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB26)) | (~v141(constB26)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB26)) | (~v141(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27026,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB26)) | (~v141(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27027,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB26)) | (~v141(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27026, 27025])).
% 39.51/25.91 tff(27028,plain,
% 39.51/25.91 (~v141(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27027, 17066, 3468])).
% 39.51/25.91 tff(27029,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB26) | (~v155(constB26)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB26) | (~v155(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27030,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB26) | (~v155(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27031,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB26) | (~v155(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27030, 27029])).
% 39.51/25.91 tff(27032,plain,
% 39.51/25.91 (~v155(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27031, 17212, 27028])).
% 39.51/25.91 tff(27033,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB26) | (~v164(constB26)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB26) | (~v164(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27034,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB26) | (~v164(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27035,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB26) | (~v164(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27034, 27033])).
% 39.51/25.91 tff(27036,plain,
% 39.51/25.91 (~v164(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27035, 17361, 27032])).
% 39.51/25.91 tff(27037,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB26)) | v164(constB26) | v163(constB26))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB26)) | v164(constB26) | v163(constB26))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27038,plain,
% 39.51/25.91 ((v164(constB26) | v163(constB26) | (~v160(constB26))) <=> ((~v160(constB26)) | v164(constB26) | v163(constB26))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27039,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB26) | v163(constB26) | (~v160(constB26)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB26)) | v164(constB26) | v163(constB26)))),
% 39.51/25.91 inference(monotonicity,[status(thm)],[27038])).
% 39.51/25.91 tff(27040,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB26) | v163(constB26) | (~v160(constB26)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB26)) | v164(constB26) | v163(constB26))),
% 39.51/25.91 inference(transitivity,[status(thm)],[27039, 27037])).
% 39.51/25.91 tff(27041,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB26) | v163(constB26) | (~v160(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27042,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB26)) | v164(constB26) | v163(constB26)),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27041, 27040])).
% 39.51/25.91 tff(27043,plain,
% 39.51/25.91 ((~v160(constB26)) | v163(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27042, 17312, 27036])).
% 39.51/25.91 tff(27044,plain,
% 39.51/25.91 (~v160(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27043, 27024])).
% 39.51/25.91 tff(27045,plain,
% 39.51/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB26, constB27)) | v160(constB26) | (~v162(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB26, constB27)) | v160(constB26) | (~v162(constB27)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27046,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB26, constB27)) | v160(constB26) | (~v162(constB27)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27047,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB26, constB27)) | v160(constB26) | (~v162(constB27))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27046, 27045])).
% 39.51/25.91 tff(27048,plain,
% 39.51/25.91 (v160(constB26) | (~v162(constB27))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27047, 17330, 3540])).
% 39.51/25.91 tff(27049,plain,
% 39.51/25.91 (~v162(constB27)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27048, 27044])).
% 39.51/25.91 tff(27050,plain,
% 39.51/25.91 ($false),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27049, 26881])).
% 39.51/25.91 tff(27051,plain,(~(constB27 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.51/25.91 tff(27052,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 39.51/25.91 tff(27053,plain,
% 39.51/25.91 (v162(constB31) <=> v162(sK0_VarCurr)),
% 39.51/25.91 inference(monotonicity,[status(thm)],[27052])).
% 39.51/25.91 tff(27054,plain,
% 39.51/25.91 (v162(sK0_VarCurr) <=> v162(constB31)),
% 39.51/25.91 inference(symmetry,[status(thm)],[27053])).
% 39.51/25.91 tff(27055,plain,
% 39.51/25.91 (v162(constB31)),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[17398, 27054])).
% 39.51/25.91 tff(27056,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB25) | (~v144(constB25)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB25) | (~v144(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27057,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB25) | (~v144(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27058,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB25) | (~v144(constB25))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27057, 27056])).
% 39.51/25.91 tff(27059,plain,
% 39.51/25.91 (~v144(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27058, 17003, 3506])).
% 39.51/25.91 tff(27060,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB25) | (~v142(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27061,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB25) | (~v142(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27062,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB25) | (~v142(constB25))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27061, 27060])).
% 39.51/25.91 tff(27063,plain,
% 39.51/25.91 (~v142(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27062, 17014, 27059])).
% 39.51/25.91 tff(27064,plain,
% 39.51/25.91 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB25)) | (~v140(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB25)) | (~v140(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27065,plain,
% 39.51/25.91 (((~v140(constB25)) | (~v138(constB25))) <=> ((~v138(constB25)) | (~v140(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27066,plain,
% 39.51/25.91 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB25)) | (~v138(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB25)) | (~v140(constB25))))),
% 39.51/25.91 inference(monotonicity,[status(thm)],[27065])).
% 39.51/25.91 tff(27067,plain,
% 39.51/25.91 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB25)) | (~v138(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB25)) | (~v140(constB25)))),
% 39.51/25.91 inference(transitivity,[status(thm)],[27066, 27064])).
% 39.51/25.91 tff(27068,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB25)) | (~v138(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27069,plain,
% 39.51/25.91 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB25)) | (~v140(constB25))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 39.51/25.91 tff(27070,plain,
% 39.51/25.91 (~v138(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27069, 108, 27003])).
% 39.51/25.91 tff(27071,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB25) | v142(constB25) | (~v135(constB25)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB25) | v142(constB25) | (~v135(constB25)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27072,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB25) | v142(constB25) | (~v135(constB25)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27073,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB25) | v142(constB25) | (~v135(constB25))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 39.51/25.91 tff(27074,plain,
% 39.51/25.91 (v142(constB25) | (~v135(constB25))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27073, 17028, 27070])).
% 39.51/25.91 tff(27075,plain,
% 39.51/25.91 (~v135(constB25)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27074, 27063])).
% 39.51/25.91 tff(27076,plain,
% 39.51/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27077,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27078,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27077, 27076])).
% 39.51/25.91 tff(27079,plain,
% 39.51/25.91 (v135(constB25) | (~v137(constB26))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27078, 17043, 3448])).
% 39.51/25.91 tff(27080,plain,
% 39.51/25.91 (~v137(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27079, 27075])).
% 39.51/25.91 tff(27081,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB26) | (~v138(constB26)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB26) | (~v138(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27082,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB26) | (~v138(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27083,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB26) | (~v138(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27082, 27081])).
% 39.51/25.91 tff(27084,plain,
% 39.51/25.91 (~v138(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27083, 17055, 27080])).
% 39.51/25.91 tff(27085,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB26) | (~v144(constB26)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB26) | (~v144(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27086,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB26) | (~v144(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27087,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB26) | (~v144(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27086, 27085])).
% 39.51/25.91 tff(27088,plain,
% 39.51/25.91 (~v144(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27087, 17077, 27028])).
% 39.51/25.91 tff(27089,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB26) | (~v142(constB26)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB26) | (~v142(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27090,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB26) | (~v142(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27091,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB26) | (~v142(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27090, 27089])).
% 39.51/25.91 tff(27092,plain,
% 39.51/25.91 (~v142(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27091, 17014, 27088])).
% 39.51/25.91 tff(27093,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB26) | v142(constB26) | (~v135(constB26)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB26) | v142(constB26) | (~v135(constB26)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27094,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB26) | v142(constB26) | (~v135(constB26)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27095,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB26) | v142(constB26) | (~v135(constB26))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27094, 27093])).
% 39.51/25.91 tff(27096,plain,
% 39.51/25.91 (v138(constB26) | (~v135(constB26))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27095, 17028, 27092])).
% 39.51/25.91 tff(27097,plain,
% 39.51/25.91 (~v135(constB26)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27096, 27084])).
% 39.51/25.91 tff(27098,plain,
% 39.51/25.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27099,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27100,plain,
% 39.51/25.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27099, 27098])).
% 39.51/25.91 tff(27101,plain,
% 39.51/25.91 (v135(constB26) | (~v137(constB27))),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27100, 17043, 3540])).
% 39.51/25.91 tff(27102,plain,
% 39.51/25.91 (~v137(constB27)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27101, 27097])).
% 39.51/25.91 tff(27103,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB27) | (~v154(constB27)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB27) | (~v154(constB27)))),
% 39.51/25.91 inference(rewrite,[status(thm)],[])).
% 39.51/25.91 tff(27104,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB27) | (~v154(constB27)))),
% 39.51/25.91 inference(quant_inst,[status(thm)],[])).
% 39.51/25.91 tff(27105,plain,
% 39.51/25.91 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB27) | (~v154(constB27))),
% 39.51/25.91 inference(modus_ponens,[status(thm)],[27104, 27103])).
% 39.51/25.91 tff(27106,plain,
% 39.51/25.91 (~v154(constB27)),
% 39.51/25.91 inference(unit_resolution,[status(thm)],[27105, 17105, 27102])).
% 39.51/25.91 tff(27107,plain,
% 39.51/25.91 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v141(constB27))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB27) | (~v9(constB27)) | v141(constB27))),
% 39.51/25.92 inference(rewrite,[status(thm)],[])).
% 39.51/25.92 tff(27108,plain,
% 39.51/25.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v141(constB27))),
% 39.51/25.92 inference(quant_inst,[status(thm)],[])).
% 39.51/25.92 tff(27109,plain,
% 39.51/25.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB27) | (~v9(constB27)) | v141(constB27)),
% 39.51/25.92 inference(modus_ponens,[status(thm)],[27108, 27107])).
% 39.51/25.92 tff(27110,plain,
% 39.51/25.92 ((~v9(constB27)) | v141(constB27)),
% 39.51/25.92 inference(unit_resolution,[status(thm)],[27109, 85, 3537])).
% 39.51/25.92 tff(27111,plain,
% 39.51/25.92 (v141(constB27)),
% 39.51/25.92 inference(unit_resolution,[status(thm)],[27110, 3692])).
% 39.51/25.92 tff(27112,plain,
% 39.51/25.92 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB27) | (~v141(constB27)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB27) | (~v141(constB27)))),
% 39.51/25.92 inference(rewrite,[status(thm)],[])).
% 39.51/25.92 tff(27113,plain,
% 39.51/25.92 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB27) | (~v141(constB27)))),
% 39.51/25.92 inference(quant_inst,[status(thm)],[])).
% 39.51/25.92 tff(27114,plain,
% 39.51/25.92 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB27) | (~v141(constB27))),
% 39.51/25.92 inference(modus_ponens,[status(thm)],[27113, 27112])).
% 39.51/25.92 tff(27115,plain,
% 39.51/25.92 (v140(constB27)),
% 39.51/25.92 inference(unit_resolution,[status(thm)],[27114, 97, 27111])).
% 39.51/25.92 tff(27116,plain,
% 39.51/25.92 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB27)) | (~v153(constB27)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB27)) | (~v153(constB27)))),
% 39.51/25.92 inference(rewrite,[status(thm)],[])).
% 39.51/25.92 tff(27117,plain,
% 39.51/25.92 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB27)) | (~v153(constB27)))),
% 39.51/25.92 inference(quant_inst,[status(thm)],[])).
% 39.51/25.92 tff(27118,plain,
% 39.51/25.92 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB27)) | (~v153(constB27))),
% 39.51/25.92 inference(modus_ponens,[status(thm)],[27117, 27116])).
% 39.51/25.92 tff(27119,plain,
% 39.51/25.92 (~v153(constB27)),
% 39.51/25.92 inference(unit_resolution,[status(thm)],[27118, 17156, 27115])).
% 39.51/25.92 tff(27120,plain,
% 39.51/25.92 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB27) | v154(constB27) | (~v150(constB27)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB27) | v154(constB27) | (~v150(constB27)))),
% 39.51/25.92 inference(rewrite,[status(thm)],[])).
% 39.51/25.92 tff(27121,plain,
% 39.51/25.92 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB27) | v154(constB27) | (~v150(constB27)))),
% 39.51/25.92 inference(quant_inst,[status(thm)],[])).
% 39.51/25.92 tff(27122,plain,
% 39.51/25.92 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB27) | v154(constB27) | (~v150(constB27))),
% 39.51/25.92 inference(modus_ponens,[status(thm)],[27121, 27120])).
% 39.51/25.92 tff(27123,plain,
% 39.51/25.92 (v154(constB27) | (~v150(constB27))),
% 39.51/25.92 inference(unit_resolution,[status(thm)],[27122, 17170, 27119])).
% 39.51/25.92 tff(27124,plain,
% 39.51/25.92 (~v150(constB27)),
% 39.51/25.92 inference(unit_resolution,[status(thm)],[27123, 27106])).
% 39.51/25.92 tff(27125,plain,
% 39.51/25.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))),
% 39.51/25.92 inference(rewrite,[status(thm)],[])).
% 39.51/25.92 tff(27126,plain,
% 39.51/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))),
% 39.51/25.92 inference(quant_inst,[status(thm)],[])).
% 39.51/25.92 tff(27127,plain,
% 39.51/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28))),
% 39.51/25.92 inference(modus_ponens,[status(thm)],[27126, 27125])).
% 39.51/25.92 tff(27128,plain,
% 39.51/25.92 (v150(constB27) | (~v152(constB28))),
% 39.51/25.92 inference(unit_resolution,[status(thm)],[27127, 17185, 3687])).
% 39.52/25.92 tff(27129,plain,
% 39.52/25.92 (~v152(constB28)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27128, 27124])).
% 39.52/25.92 tff(27130,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB28) | (~v153(constB28)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB28) | (~v153(constB28)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27131,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB28) | (~v153(constB28)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27132,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB28) | (~v153(constB28))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27131, 27130])).
% 39.52/25.92 tff(27133,plain,
% 39.52/25.92 (~v153(constB28)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27132, 17197, 27129])).
% 39.52/25.92 tff(27134,plain,
% 39.52/25.92 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB28)) | (~v141(constB28)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB28)) | (~v141(constB28)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27135,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB28)) | (~v141(constB28)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27136,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB28)) | (~v141(constB28))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27135, 27134])).
% 39.52/25.92 tff(27137,plain,
% 39.52/25.92 (~v141(constB28)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27136, 17066, 3671])).
% 39.52/25.92 tff(27138,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB28) | (~v155(constB28)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB28) | (~v155(constB28)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27139,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB28) | (~v155(constB28)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27140,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB28) | (~v155(constB28))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27139, 27138])).
% 39.52/25.92 tff(27141,plain,
% 39.52/25.92 (~v155(constB28)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27140, 17212, 27137])).
% 39.52/25.92 tff(27142,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB28) | (~v154(constB28)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB28) | (~v154(constB28)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27143,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB28) | (~v154(constB28)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27144,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB28) | (~v154(constB28))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27143, 27142])).
% 39.52/25.92 tff(27145,plain,
% 39.52/25.92 (~v154(constB28)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27144, 17223, 27141])).
% 39.52/25.92 tff(27146,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB28) | v154(constB28) | (~v150(constB28)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB28) | v154(constB28) | (~v150(constB28)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27147,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB28) | v154(constB28) | (~v150(constB28)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27148,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB28) | v154(constB28) | (~v150(constB28))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27147, 27146])).
% 39.52/25.92 tff(27149,plain,
% 39.52/25.92 (v153(constB28) | (~v150(constB28))),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27148, 17170, 27145])).
% 39.52/25.92 tff(27150,plain,
% 39.52/25.92 (~v150(constB28)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27149, 27133])).
% 39.52/25.92 tff(27151,plain,
% 39.52/25.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27152,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27153,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27152, 27151])).
% 39.52/25.92 tff(27154,plain,
% 39.52/25.92 (v150(constB28) | (~v152(constB29))),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27153, 17185, 3822])).
% 39.52/25.92 tff(27155,plain,
% 39.52/25.92 (~v152(constB29)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27154, 27150])).
% 39.52/25.92 tff(27156,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB29) | (~v164(constB29)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB29) | (~v164(constB29)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27157,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB29) | (~v164(constB29)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27158,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB29) | (~v164(constB29))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27157, 27156])).
% 39.52/25.92 tff(27159,plain,
% 39.52/25.92 (~v164(constB29)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27158, 17247, 27155])).
% 39.52/25.92 tff(27160,plain,
% 39.52/25.92 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB29)) | (~v163(constB29)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB29)) | (~v163(constB29)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27161,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB29)) | (~v163(constB29)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27162,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB29)) | (~v163(constB29))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27161, 27160])).
% 39.52/25.92 tff(27163,plain,
% 39.52/25.92 (~v163(constB29)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27162, 17298, 20060])).
% 39.52/25.92 tff(27164,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB29)) | v163(constB29) | v164(constB29))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB29)) | v163(constB29) | v164(constB29))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27165,plain,
% 39.52/25.92 ((v164(constB29) | v163(constB29) | (~v160(constB29))) <=> ((~v160(constB29)) | v163(constB29) | v164(constB29))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27166,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB29) | v163(constB29) | (~v160(constB29)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB29)) | v163(constB29) | v164(constB29)))),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27165])).
% 39.52/25.92 tff(27167,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB29) | v163(constB29) | (~v160(constB29)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB29)) | v163(constB29) | v164(constB29))),
% 39.52/25.92 inference(transitivity,[status(thm)],[27166, 27164])).
% 39.52/25.92 tff(27168,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB29) | v163(constB29) | (~v160(constB29)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27169,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB29)) | v163(constB29) | v164(constB29)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27168, 27167])).
% 39.52/25.92 tff(27170,plain,
% 39.52/25.92 ((~v160(constB29)) | v164(constB29)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27169, 17312, 27163])).
% 39.52/25.92 tff(27171,plain,
% 39.52/25.92 (~v160(constB29)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27170, 27159])).
% 39.52/25.92 tff(27172,plain,
% 39.52/25.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27173,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27174,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27173, 27172])).
% 39.52/25.92 tff(27175,plain,
% 39.52/25.92 (v160(constB29) | (~v162(constB30))),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27174, 17330, 3951])).
% 39.52/25.92 tff(27176,plain,
% 39.52/25.92 (~v162(constB30)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27175, 27171])).
% 39.52/25.92 tff(27177,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB30) | (~v163(constB30)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB30) | (~v163(constB30)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27178,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB30) | (~v163(constB30)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27179,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB30) | (~v163(constB30))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27178, 27177])).
% 39.52/25.92 tff(27180,plain,
% 39.52/25.92 (~v163(constB30)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27179, 17342, 27176])).
% 39.52/25.92 tff(27181,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB30) | (~v155(constB30)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB30) | (~v155(constB30)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27182,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB30) | (~v155(constB30)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27183,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB30) | (~v155(constB30))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27182, 27181])).
% 39.52/25.92 tff(27184,plain,
% 39.52/25.92 (~v155(constB30)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27183, 17212, 20085])).
% 39.52/25.92 tff(27185,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB30) | (~v164(constB30)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB30) | (~v164(constB30)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27186,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB30) | (~v164(constB30)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27187,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB30) | (~v164(constB30))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27186, 27185])).
% 39.52/25.92 tff(27188,plain,
% 39.52/25.92 (~v164(constB30)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27187, 17361, 27184])).
% 39.52/25.92 tff(27189,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB30)) | v164(constB30) | v163(constB30))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB30)) | v164(constB30) | v163(constB30))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27190,plain,
% 39.52/25.92 ((v164(constB30) | v163(constB30) | (~v160(constB30))) <=> ((~v160(constB30)) | v164(constB30) | v163(constB30))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27191,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB30) | v163(constB30) | (~v160(constB30)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB30)) | v164(constB30) | v163(constB30)))),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27190])).
% 39.52/25.92 tff(27192,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB30) | v163(constB30) | (~v160(constB30)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB30)) | v164(constB30) | v163(constB30))),
% 39.52/25.92 inference(transitivity,[status(thm)],[27191, 27189])).
% 39.52/25.92 tff(27193,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB30) | v163(constB30) | (~v160(constB30)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27194,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB30)) | v164(constB30) | v163(constB30)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27193, 27192])).
% 39.52/25.92 tff(27195,plain,
% 39.52/25.92 ((~v160(constB30)) | v163(constB30)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27194, 17312, 27188])).
% 39.52/25.92 tff(27196,plain,
% 39.52/25.92 (~v160(constB30)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27195, 27180])).
% 39.52/25.92 tff(27197,plain,
% 39.52/25.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27198,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27199,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27198, 27197])).
% 39.52/25.92 tff(27200,plain,
% 39.52/25.92 (v160(constB30) | (~v162(constB31))),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27199, 17330, 4016])).
% 39.52/25.92 tff(27201,plain,
% 39.52/25.92 (~v162(constB31)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27200, 27196])).
% 39.52/25.92 tff(27202,plain,
% 39.52/25.92 ($false),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27201, 27055])).
% 39.52/25.92 tff(27203,plain,(~(constB31 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.92 tff(27204,assumption,(constB134 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.92 tff(27205,plain,
% 39.52/25.92 (v1(constB134) <=> v1(sK0_VarCurr)),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27204])).
% 39.52/25.92 tff(27206,plain,
% 39.52/25.92 (v1(sK0_VarCurr) <=> v1(constB134)),
% 39.52/25.92 inference(symmetry,[status(thm)],[27205])).
% 39.52/25.92 tff(27207,plain,
% 39.52/25.92 ((~v1(sK0_VarCurr)) <=> (~v1(constB134))),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27206])).
% 39.52/25.92 tff(27208,plain,
% 39.52/25.92 (~v1(constB134)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[23858, 27207])).
% 39.52/25.92 tff(27209,plain,
% 39.52/25.92 ($false),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[15416, 27208])).
% 39.52/25.92 tff(27210,plain,(~(constB134 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.92 tff(27211,assumption,(constB4 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.92 tff(27212,plain,
% 39.52/25.92 (v1(constB4) <=> v1(sK0_VarCurr)),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27211])).
% 39.52/25.92 tff(27213,plain,
% 39.52/25.92 (v1(sK0_VarCurr) <=> v1(constB4)),
% 39.52/25.92 inference(symmetry,[status(thm)],[27212])).
% 39.52/25.92 tff(27214,plain,
% 39.52/25.92 ((~v1(sK0_VarCurr)) <=> (~v1(constB4))),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27213])).
% 39.52/25.92 tff(27215,plain,
% 39.52/25.92 (~v1(constB4)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[23858, 27214])).
% 39.52/25.92 tff(27216,plain,
% 39.52/25.92 ($false),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[802, 27215])).
% 39.52/25.92 tff(27217,plain,(~(constB4 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.92 tff(27218,assumption,(constB24 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.92 tff(27219,plain,
% 39.52/25.92 (v1(constB24) <=> v1(sK0_VarCurr)),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27218])).
% 39.52/25.92 tff(27220,plain,
% 39.52/25.92 (v1(sK0_VarCurr) <=> v1(constB24)),
% 39.52/25.92 inference(symmetry,[status(thm)],[27219])).
% 39.52/25.92 tff(27221,plain,
% 39.52/25.92 ((~v1(sK0_VarCurr)) <=> (~v1(constB24))),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27220])).
% 39.52/25.92 tff(27222,plain,
% 39.52/25.92 (~v1(constB24)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[23858, 27221])).
% 39.52/25.92 tff(27223,plain,
% 39.52/25.92 ($false),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[3296, 27222])).
% 39.52/25.92 tff(27224,plain,(~(constB24 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.92 tff(27225,assumption,(constB85 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.92 tff(27226,plain,
% 39.52/25.92 (v162(constB85) <=> v162(sK0_VarCurr)),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27225])).
% 39.52/25.92 tff(27227,plain,
% 39.52/25.92 (v162(sK0_VarCurr) <=> v162(constB85)),
% 39.52/25.92 inference(symmetry,[status(thm)],[27226])).
% 39.52/25.92 tff(27228,plain,
% 39.52/25.92 (v162(constB85)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[17398, 27227])).
% 39.52/25.92 tff(27229,plain,
% 39.52/25.92 (v145(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9572, 9559, 9341, 9274])).
% 39.52/25.92 tff(27230,plain,
% 39.52/25.92 (v112(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9360, 1367, 27229])).
% 39.52/25.92 tff(27231,plain,
% 39.52/25.92 (v111(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9364, 292, 27230])).
% 39.52/25.92 tff(27232,plain,
% 39.52/25.92 ($false),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9368, 303, 27231, 9559])).
% 39.52/25.92 tff(27233,plain,(v110(constB77) | v172(constB77) | v124(constB77, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.92 tff(27234,plain,
% 39.52/25.92 (v110(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27233, 9272, 9533])).
% 39.52/25.92 tff(27235,plain,
% 39.52/25.92 (v109(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9372, 314, 27234])).
% 39.52/25.92 tff(27236,plain,
% 39.52/25.92 (v108(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9376, 325, 27235])).
% 39.52/25.92 tff(27237,plain,
% 39.52/25.92 (v107(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9380, 336, 27236])).
% 39.52/25.92 tff(27238,plain,
% 39.52/25.92 (v106(constB77) | (~v107(constB77))),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9387, 350, 9304])).
% 39.52/25.92 tff(27239,plain,
% 39.52/25.92 (v106(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27238, 27237])).
% 39.52/25.92 tff(27240,plain,
% 39.52/25.92 (v102(constB77)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9392, 362, 27239])).
% 39.52/25.92 tff(27241,plain,
% 39.52/25.92 (v104(constB78)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9400, 27240])).
% 39.52/25.92 tff(27242,plain,
% 39.52/25.92 (v94(constB78)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9426, 27241])).
% 39.52/25.92 tff(27243,plain,
% 39.52/25.92 (v124(constB77, bitIndex1)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9487, 1513, 9268])).
% 39.52/25.92 tff(27244,plain,
% 39.52/25.92 ((~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9491, 875, 9304])).
% 39.52/25.92 tff(27245,plain,
% 39.52/25.92 (v121(constB77, bitIndex1)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27244, 27243])).
% 39.52/25.92 tff(27246,plain,
% 39.52/25.92 (v123(constB78, bitIndex1)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9497, 27245])).
% 39.52/25.92 tff(27247,plain,
% 39.52/25.92 (v84(constB78, bitIndex1) | (~v94(constB78))),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9504, 905, 27246])).
% 39.52/25.92 tff(27248,plain,
% 39.52/25.92 (v84(constB78, bitIndex1)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27247, 27242])).
% 39.52/25.92 tff(27249,plain,
% 39.52/25.92 (v84(constB79, bitIndex1)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[9514, 27248])).
% 39.52/25.92 tff(27250,plain,
% 39.52/25.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB79, bitIndex1)) | (~v145(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB79, bitIndex1)) | (~v145(constB79)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27251,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB79, bitIndex1)) | (~v145(constB79)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27252,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB79, bitIndex1)) | (~v145(constB79))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27251, 27250])).
% 39.52/25.92 tff(27253,plain,
% 39.52/25.92 (~v145(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27252, 1116, 27249])).
% 39.52/25.92 tff(27254,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB79) | (~v144(constB79)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB79) | (~v144(constB79)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27255,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB79) | (~v144(constB79)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27256,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB79) | (~v144(constB79))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27255, 27254])).
% 39.52/25.92 tff(27257,plain,
% 39.52/25.92 (~v144(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27256, 17003, 27253])).
% 39.52/25.92 tff(27258,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB79) | (~v142(constB79)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB79) | (~v142(constB79)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27259,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB79) | (~v142(constB79)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27260,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB79) | (~v142(constB79))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27259, 27258])).
% 39.52/25.92 tff(27261,plain,
% 39.52/25.92 (~v142(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27260, 17014, 27257])).
% 39.52/25.92 tff(27262,assumption,(v18(constB80)), introduced(assumption)).
% 39.52/25.92 tff(27263,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB80))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27264,plain,
% 39.52/25.92 ($false),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27263, 8, 27262])).
% 39.52/25.92 tff(27265,plain,(~v18(constB80)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.92 tff(27266,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27267,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27268,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27267, 27266])).
% 39.52/25.92 tff(27269,plain,
% 39.52/25.92 (v22(constB80)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27268, 21, 9664])).
% 39.52/25.92 tff(27270,plain,
% 39.52/25.92 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB80)) | (~v22(constB80)) | v18(constB80))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB80)) | (~v22(constB80)) | v18(constB80))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27271,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB80)) | (~v22(constB80)) | v18(constB80))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27272,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB80)) | (~v22(constB80)) | v18(constB80)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27271, 27270])).
% 39.52/25.92 tff(27273,plain,
% 39.52/25.92 ((~v19(constB80)) | v18(constB80)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27272, 35, 27269])).
% 39.52/25.92 tff(27274,plain,
% 39.52/25.92 (~v19(constB80)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27273, 27265])).
% 39.52/25.92 tff(27275,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27276,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27277,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27276, 27275])).
% 39.52/25.92 tff(27278,plain,
% 39.52/25.92 (v13(constB80)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27277, 50, 27274])).
% 39.52/25.92 tff(27279,plain,
% 39.52/25.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27280,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27281,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27280, 27279])).
% 39.52/25.92 tff(27282,plain,
% 39.52/25.92 ((~v13(constB80)) | v9(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27281, 67, 9644])).
% 39.52/25.92 tff(27283,plain,
% 39.52/25.92 (v9(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27282, 27278])).
% 39.52/25.92 tff(27284,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v141(constB79))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB79) | (~v9(constB79)) | v141(constB79))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27285,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v141(constB79))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27286,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB79) | (~v9(constB79)) | v141(constB79)),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27285, 27284])).
% 39.52/25.92 tff(27287,plain,
% 39.52/25.92 ((~v9(constB79)) | v141(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27286, 85, 9443])).
% 39.52/25.92 tff(27288,plain,
% 39.52/25.92 (v141(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27287, 27283])).
% 39.52/25.92 tff(27289,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB79) | (~v141(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB79) | (~v141(constB79)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27290,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB79) | (~v141(constB79)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27291,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB79) | (~v141(constB79))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27290, 27289])).
% 39.52/25.92 tff(27292,plain,
% 39.52/25.92 (v140(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27291, 97, 27288])).
% 39.52/25.92 tff(27293,plain,
% 39.52/25.92 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB79)) | (~v140(constB79)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB79)) | (~v140(constB79)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27294,plain,
% 39.52/25.92 (((~v140(constB79)) | (~v138(constB79))) <=> ((~v138(constB79)) | (~v140(constB79)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27295,plain,
% 39.52/25.92 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB79)) | (~v138(constB79)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB79)) | (~v140(constB79))))),
% 39.52/25.92 inference(monotonicity,[status(thm)],[27294])).
% 39.52/25.92 tff(27296,plain,
% 39.52/25.92 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB79)) | (~v138(constB79)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB79)) | (~v140(constB79)))),
% 39.52/25.92 inference(transitivity,[status(thm)],[27295, 27293])).
% 39.52/25.92 tff(27297,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB79)) | (~v138(constB79)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27298,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB79)) | (~v140(constB79))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27297, 27296])).
% 39.52/25.92 tff(27299,plain,
% 39.52/25.92 (~v138(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27298, 108, 27292])).
% 39.52/25.92 tff(27300,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB79) | v142(constB79) | (~v135(constB79)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB79) | v142(constB79) | (~v135(constB79)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27301,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB79) | v142(constB79) | (~v135(constB79)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27302,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB79) | v142(constB79) | (~v135(constB79))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27301, 27300])).
% 39.52/25.92 tff(27303,plain,
% 39.52/25.92 (v142(constB79) | (~v135(constB79))),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27302, 17028, 27299])).
% 39.52/25.92 tff(27304,plain,
% 39.52/25.92 (~v135(constB79)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27303, 27261])).
% 39.52/25.92 tff(27305,plain,
% 39.52/25.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB79, constB80)) | v135(constB79) | (~v137(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB79, constB80)) | v135(constB79) | (~v137(constB80)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27306,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB79, constB80)) | v135(constB79) | (~v137(constB80)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27307,plain,
% 39.52/25.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB79, constB80)) | v135(constB79) | (~v137(constB80))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27306, 27305])).
% 39.52/25.92 tff(27308,plain,
% 39.52/25.92 (v135(constB79) | (~v137(constB80))),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27307, 17043, 9644])).
% 39.52/25.92 tff(27309,plain,
% 39.52/25.92 (~v137(constB80)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27308, 27304])).
% 39.52/25.92 tff(27310,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB80) | (~v138(constB80)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB80) | (~v138(constB80)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27311,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB80) | (~v138(constB80)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27312,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB80) | (~v138(constB80))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27311, 27310])).
% 39.52/25.92 tff(27313,plain,
% 39.52/25.92 (~v138(constB80)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27312, 17055, 27309])).
% 39.52/25.92 tff(27314,plain,
% 39.52/25.92 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB80)) | (~v141(constB80)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB80)) | (~v141(constB80)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27315,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB80)) | (~v141(constB80)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27316,plain,
% 39.52/25.92 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB80)) | (~v141(constB80))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27315, 27314])).
% 39.52/25.92 tff(27317,plain,
% 39.52/25.92 (~v141(constB80)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27316, 17066, 9664])).
% 39.52/25.92 tff(27318,plain,
% 39.52/25.92 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB80) | (~v144(constB80)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB80) | (~v144(constB80)))),
% 39.52/25.92 inference(rewrite,[status(thm)],[])).
% 39.52/25.92 tff(27319,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB80) | (~v144(constB80)))),
% 39.52/25.92 inference(quant_inst,[status(thm)],[])).
% 39.52/25.92 tff(27320,plain,
% 39.52/25.92 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB80) | (~v144(constB80))),
% 39.52/25.92 inference(modus_ponens,[status(thm)],[27319, 27318])).
% 39.52/25.92 tff(27321,plain,
% 39.52/25.92 (~v144(constB80)),
% 39.52/25.92 inference(unit_resolution,[status(thm)],[27320, 17077, 27317])).
% 39.52/25.93 tff(27322,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB80) | (~v142(constB80)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB80) | (~v142(constB80)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27323,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB80) | (~v142(constB80)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27324,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB80) | (~v142(constB80))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27323, 27322])).
% 39.52/25.93 tff(27325,plain,
% 39.52/25.93 (~v142(constB80)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27324, 17014, 27321])).
% 39.52/25.93 tff(27326,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB80) | v142(constB80) | (~v135(constB80)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB80) | v142(constB80) | (~v135(constB80)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27327,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB80) | v142(constB80) | (~v135(constB80)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27328,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB80) | v142(constB80) | (~v135(constB80))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27327, 27326])).
% 39.52/25.93 tff(27329,plain,
% 39.52/25.93 (v138(constB80) | (~v135(constB80))),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27328, 17028, 27325])).
% 39.52/25.93 tff(27330,plain,
% 39.52/25.93 (~v135(constB80)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27329, 27313])).
% 39.52/25.93 tff(27331,plain,
% 39.52/25.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB80, constB81)) | v135(constB80) | (~v137(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB80, constB81)) | v135(constB80) | (~v137(constB81)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27332,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB80, constB81)) | v135(constB80) | (~v137(constB81)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27333,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB80, constB81)) | v135(constB80) | (~v137(constB81))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27332, 27331])).
% 39.52/25.93 tff(27334,plain,
% 39.52/25.93 (v135(constB80) | (~v137(constB81))),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27333, 17043, 9711])).
% 39.52/25.93 tff(27335,plain,
% 39.52/25.93 (~v137(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27334, 27330])).
% 39.52/25.93 tff(27336,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB81) | (~v154(constB81)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB81) | (~v154(constB81)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27337,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB81) | (~v154(constB81)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27338,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB81) | (~v154(constB81))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27337, 27336])).
% 39.52/25.93 tff(27339,plain,
% 39.52/25.93 (~v154(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27338, 17105, 27335])).
% 39.52/25.93 tff(27340,assumption,(v18(constB82)), introduced(assumption)).
% 39.52/25.93 tff(27341,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB82))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27342,plain,
% 39.52/25.93 ($false),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27341, 8, 27340])).
% 39.52/25.93 tff(27343,plain,(~v18(constB82)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.93 tff(27344,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27345,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27346,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27345, 27344])).
% 39.52/25.93 tff(27347,plain,
% 39.52/25.93 (v22(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27346, 21, 9861])).
% 39.52/25.93 tff(27348,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB82)) | (~v22(constB82)) | v18(constB82))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB82)) | (~v22(constB82)) | v18(constB82))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27349,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB82)) | (~v22(constB82)) | v18(constB82))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27350,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB82)) | (~v22(constB82)) | v18(constB82)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27349, 27348])).
% 39.52/25.93 tff(27351,plain,
% 39.52/25.93 ((~v19(constB82)) | v18(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27350, 35, 27347])).
% 39.52/25.93 tff(27352,plain,
% 39.52/25.93 (~v19(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27351, 27343])).
% 39.52/25.93 tff(27353,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27354,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27355,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27354, 27353])).
% 39.52/25.93 tff(27356,plain,
% 39.52/25.93 (v13(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27355, 50, 27352])).
% 39.52/25.93 tff(27357,plain,
% 39.52/25.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27358,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27359,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 39.52/25.93 tff(27360,plain,
% 39.52/25.93 ((~v13(constB82)) | v9(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27359, 67, 9841])).
% 39.52/25.93 tff(27361,plain,
% 39.52/25.93 (v9(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27360, 27356])).
% 39.52/25.93 tff(27362,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27363,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27364,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27363, 27362])).
% 39.52/25.93 tff(27365,plain,
% 39.52/25.93 ((~v9(constB81)) | v141(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27364, 85, 9708])).
% 39.52/25.93 tff(27366,plain,
% 39.52/25.93 (v141(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27365, 27361])).
% 39.52/25.93 tff(27367,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB81) | (~v141(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB81) | (~v141(constB81)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27368,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB81) | (~v141(constB81)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27369,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB81) | (~v141(constB81))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27368, 27367])).
% 39.52/25.93 tff(27370,plain,
% 39.52/25.93 (v140(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27369, 97, 27366])).
% 39.52/25.93 tff(27371,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB81)) | (~v153(constB81)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB81)) | (~v153(constB81)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27372,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB81)) | (~v153(constB81)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27373,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB81)) | (~v153(constB81))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27372, 27371])).
% 39.52/25.93 tff(27374,plain,
% 39.52/25.93 (~v153(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27373, 17156, 27370])).
% 39.52/25.93 tff(27375,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB81) | v154(constB81) | (~v150(constB81)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB81) | v154(constB81) | (~v150(constB81)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27376,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB81) | v154(constB81) | (~v150(constB81)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27377,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB81) | v154(constB81) | (~v150(constB81))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27376, 27375])).
% 39.52/25.93 tff(27378,plain,
% 39.52/25.93 (v154(constB81) | (~v150(constB81))),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27377, 17170, 27374])).
% 39.52/25.93 tff(27379,plain,
% 39.52/25.93 (~v150(constB81)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27378, 27339])).
% 39.52/25.93 tff(27380,plain,
% 39.52/25.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB81, constB82)) | v150(constB81) | (~v152(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB81, constB82)) | v150(constB81) | (~v152(constB82)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27381,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB81, constB82)) | v150(constB81) | (~v152(constB82)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27382,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB81, constB82)) | v150(constB81) | (~v152(constB82))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27381, 27380])).
% 39.52/25.93 tff(27383,plain,
% 39.52/25.93 (v150(constB81) | (~v152(constB82))),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27382, 17185, 9841])).
% 39.52/25.93 tff(27384,plain,
% 39.52/25.93 (~v152(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27383, 27379])).
% 39.52/25.93 tff(27385,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB82) | (~v153(constB82)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB82) | (~v153(constB82)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27386,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB82) | (~v153(constB82)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27387,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB82) | (~v153(constB82))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27386, 27385])).
% 39.52/25.93 tff(27388,plain,
% 39.52/25.93 (~v153(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27387, 17197, 27384])).
% 39.52/25.93 tff(27389,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB82)) | (~v141(constB82)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB82)) | (~v141(constB82)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27390,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB82)) | (~v141(constB82)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27391,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB82)) | (~v141(constB82))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27390, 27389])).
% 39.52/25.93 tff(27392,plain,
% 39.52/25.93 (~v141(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27391, 17066, 9861])).
% 39.52/25.93 tff(27393,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB82) | (~v155(constB82)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB82) | (~v155(constB82)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27394,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB82) | (~v155(constB82)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27395,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB82) | (~v155(constB82))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27394, 27393])).
% 39.52/25.93 tff(27396,plain,
% 39.52/25.93 (~v155(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27395, 17212, 27392])).
% 39.52/25.93 tff(27397,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB82) | (~v154(constB82)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB82) | (~v154(constB82)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27398,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB82) | (~v154(constB82)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27399,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB82) | (~v154(constB82))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27398, 27397])).
% 39.52/25.93 tff(27400,plain,
% 39.52/25.93 (~v154(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27399, 17223, 27396])).
% 39.52/25.93 tff(27401,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB82) | v154(constB82) | (~v150(constB82)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB82) | v154(constB82) | (~v150(constB82)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27402,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB82) | v154(constB82) | (~v150(constB82)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27403,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB82) | v154(constB82) | (~v150(constB82))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27402, 27401])).
% 39.52/25.93 tff(27404,plain,
% 39.52/25.93 (v153(constB82) | (~v150(constB82))),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27403, 17170, 27400])).
% 39.52/25.93 tff(27405,plain,
% 39.52/25.93 (~v150(constB82)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27404, 27388])).
% 39.52/25.93 tff(27406,plain,
% 39.52/25.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB82, constB83)) | v150(constB82) | (~v152(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB82, constB83)) | v150(constB82) | (~v152(constB83)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27407,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB82, constB83)) | v150(constB82) | (~v152(constB83)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27408,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB82, constB83)) | v150(constB82) | (~v152(constB83))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 39.52/25.93 tff(27409,plain,
% 39.52/25.93 (v150(constB82) | (~v152(constB83))),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27408, 17185, 9907])).
% 39.52/25.93 tff(27410,plain,
% 39.52/25.93 (~v152(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27409, 27405])).
% 39.52/25.93 tff(27411,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB83) | (~v164(constB83)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB83) | (~v164(constB83)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27412,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB83) | (~v164(constB83)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27413,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB83) | (~v164(constB83))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27412, 27411])).
% 39.52/25.93 tff(27414,plain,
% 39.52/25.93 (~v164(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27413, 17247, 27410])).
% 39.52/25.93 tff(27415,assumption,(v18(constB84)), introduced(assumption)).
% 39.52/25.93 tff(27416,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB84))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27417,plain,
% 39.52/25.93 ($false),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27416, 8, 27415])).
% 39.52/25.93 tff(27418,plain,(~v18(constB84)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.93 tff(27419,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27420,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27421,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27420, 27419])).
% 39.52/25.93 tff(27422,plain,
% 39.52/25.93 (v22(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27421, 21, 10048])).
% 39.52/25.93 tff(27423,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB84)) | (~v22(constB84)) | v18(constB84))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB84)) | (~v22(constB84)) | v18(constB84))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27424,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB84)) | (~v22(constB84)) | v18(constB84))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27425,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB84)) | (~v22(constB84)) | v18(constB84)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27424, 27423])).
% 39.52/25.93 tff(27426,plain,
% 39.52/25.93 ((~v19(constB84)) | v18(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27425, 35, 27422])).
% 39.52/25.93 tff(27427,plain,
% 39.52/25.93 (~v19(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27426, 27418])).
% 39.52/25.93 tff(27428,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27429,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27430,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27429, 27428])).
% 39.52/25.93 tff(27431,plain,
% 39.52/25.93 (v13(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27430, 50, 27427])).
% 39.52/25.93 tff(27432,plain,
% 39.52/25.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27433,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27434,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27433, 27432])).
% 39.52/25.93 tff(27435,plain,
% 39.52/25.93 ((~v13(constB84)) | v9(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27434, 67, 10028])).
% 39.52/25.93 tff(27436,plain,
% 39.52/25.93 (v9(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27435, 27431])).
% 39.52/25.93 tff(27437,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v141(constB83))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB83) | (~v9(constB83)) | v141(constB83))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27438,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v141(constB83))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27439,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB83) | (~v9(constB83)) | v141(constB83)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27438, 27437])).
% 39.52/25.93 tff(27440,plain,
% 39.52/25.93 ((~v9(constB83)) | v141(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27439, 85, 9904])).
% 39.52/25.93 tff(27441,plain,
% 39.52/25.93 (v141(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27440, 27436])).
% 39.52/25.93 tff(27442,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB83) | (~v141(constB83)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB83) | (~v141(constB83)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27443,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB83) | (~v141(constB83)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27444,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB83) | (~v141(constB83))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27443, 27442])).
% 39.52/25.93 tff(27445,plain,
% 39.52/25.93 (v140(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27444, 97, 27441])).
% 39.52/25.93 tff(27446,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB83)) | (~v163(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB83)) | (~v163(constB83)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27447,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB83)) | (~v163(constB83)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27448,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB83)) | (~v163(constB83))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27447, 27446])).
% 39.52/25.93 tff(27449,plain,
% 39.52/25.93 (~v163(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27448, 17298, 27445])).
% 39.52/25.93 tff(27450,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB83)) | v163(constB83) | v164(constB83))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB83)) | v163(constB83) | v164(constB83))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27451,plain,
% 39.52/25.93 ((v164(constB83) | v163(constB83) | (~v160(constB83))) <=> ((~v160(constB83)) | v163(constB83) | v164(constB83))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27452,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB83) | v163(constB83) | (~v160(constB83)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB83)) | v163(constB83) | v164(constB83)))),
% 39.52/25.93 inference(monotonicity,[status(thm)],[27451])).
% 39.52/25.93 tff(27453,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB83) | v163(constB83) | (~v160(constB83)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB83)) | v163(constB83) | v164(constB83))),
% 39.52/25.93 inference(transitivity,[status(thm)],[27452, 27450])).
% 39.52/25.93 tff(27454,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB83) | v163(constB83) | (~v160(constB83)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27455,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB83)) | v163(constB83) | v164(constB83)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27454, 27453])).
% 39.52/25.93 tff(27456,plain,
% 39.52/25.93 ((~v160(constB83)) | v164(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27455, 17312, 27449])).
% 39.52/25.93 tff(27457,plain,
% 39.52/25.93 (~v160(constB83)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27456, 27414])).
% 39.52/25.93 tff(27458,plain,
% 39.52/25.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB83, constB84)) | v160(constB83) | (~v162(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB83, constB84)) | v160(constB83) | (~v162(constB84)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27459,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB83, constB84)) | v160(constB83) | (~v162(constB84)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27460,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB83, constB84)) | v160(constB83) | (~v162(constB84))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27459, 27458])).
% 39.52/25.93 tff(27461,plain,
% 39.52/25.93 (v160(constB83) | (~v162(constB84))),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27460, 17330, 10028])).
% 39.52/25.93 tff(27462,plain,
% 39.52/25.93 (~v162(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27461, 27457])).
% 39.52/25.93 tff(27463,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB84) | (~v163(constB84)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB84) | (~v163(constB84)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27464,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB84) | (~v163(constB84)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27465,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB84) | (~v163(constB84))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27464, 27463])).
% 39.52/25.93 tff(27466,plain,
% 39.52/25.93 (~v163(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27465, 17342, 27462])).
% 39.52/25.93 tff(27467,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB84)) | (~v141(constB84)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB84)) | (~v141(constB84)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27468,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB84)) | (~v141(constB84)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27469,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB84)) | (~v141(constB84))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27468, 27467])).
% 39.52/25.93 tff(27470,plain,
% 39.52/25.93 (~v141(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27469, 17066, 10048])).
% 39.52/25.93 tff(27471,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB84) | (~v155(constB84)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB84) | (~v155(constB84)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27472,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB84) | (~v155(constB84)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27473,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB84) | (~v155(constB84))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27472, 27471])).
% 39.52/25.93 tff(27474,plain,
% 39.52/25.93 (~v155(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27473, 17212, 27470])).
% 39.52/25.93 tff(27475,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB84) | (~v164(constB84)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB84) | (~v164(constB84)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27476,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB84) | (~v164(constB84)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27477,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB84) | (~v164(constB84))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27476, 27475])).
% 39.52/25.93 tff(27478,plain,
% 39.52/25.93 (~v164(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27477, 17361, 27474])).
% 39.52/25.93 tff(27479,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB84)) | v164(constB84) | v163(constB84))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB84)) | v164(constB84) | v163(constB84))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27480,plain,
% 39.52/25.93 ((v164(constB84) | v163(constB84) | (~v160(constB84))) <=> ((~v160(constB84)) | v164(constB84) | v163(constB84))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27481,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB84) | v163(constB84) | (~v160(constB84)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB84)) | v164(constB84) | v163(constB84)))),
% 39.52/25.93 inference(monotonicity,[status(thm)],[27480])).
% 39.52/25.93 tff(27482,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB84) | v163(constB84) | (~v160(constB84)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB84)) | v164(constB84) | v163(constB84))),
% 39.52/25.93 inference(transitivity,[status(thm)],[27481, 27479])).
% 39.52/25.93 tff(27483,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB84) | v163(constB84) | (~v160(constB84)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27484,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB84)) | v164(constB84) | v163(constB84)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27483, 27482])).
% 39.52/25.93 tff(27485,plain,
% 39.52/25.93 ((~v160(constB84)) | v163(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27484, 17312, 27478])).
% 39.52/25.93 tff(27486,plain,
% 39.52/25.93 (~v160(constB84)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27485, 27466])).
% 39.52/25.93 tff(27487,plain,
% 39.52/25.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB84, constB85)) | v160(constB84) | (~v162(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB84, constB85)) | v160(constB84) | (~v162(constB85)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27488,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB84, constB85)) | v160(constB84) | (~v162(constB85)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27489,plain,
% 39.52/25.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB84, constB85)) | v160(constB84) | (~v162(constB85))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27488, 27487])).
% 39.52/25.93 tff(27490,plain,
% 39.52/25.93 (v160(constB84) | (~v162(constB85))),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27489, 17330, 10090])).
% 39.52/25.93 tff(27491,plain,
% 39.52/25.93 (~v162(constB85)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27490, 27486])).
% 39.52/25.93 tff(27492,plain,
% 39.52/25.93 ($false),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27491, 27228])).
% 39.52/25.93 tff(27493,plain,(~(constB85 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.93 tff(27494,assumption,(constB96 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.93 tff(27495,plain,
% 39.52/25.93 (v1(constB96) <=> v1(sK0_VarCurr)),
% 39.52/25.93 inference(monotonicity,[status(thm)],[27494])).
% 39.52/25.93 tff(27496,plain,
% 39.52/25.93 (v1(sK0_VarCurr) <=> v1(constB96)),
% 39.52/25.93 inference(symmetry,[status(thm)],[27495])).
% 39.52/25.93 tff(27497,plain,
% 39.52/25.93 ((~v1(sK0_VarCurr)) <=> (~v1(constB96))),
% 39.52/25.93 inference(monotonicity,[status(thm)],[27496])).
% 39.52/25.93 tff(27498,plain,
% 39.52/25.93 (~v1(constB96)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[23858, 27497])).
% 39.52/25.93 tff(27499,plain,
% 39.52/25.93 ($false),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[11534, 27498])).
% 39.52/25.93 tff(27500,plain,(~(constB96 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.93 tff(27501,assumption,(constB21 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.93 tff(27502,plain,
% 39.52/25.93 (v162(constB21) <=> v162(sK0_VarCurr)),
% 39.52/25.93 inference(monotonicity,[status(thm)],[27501])).
% 39.52/25.93 tff(27503,plain,
% 39.52/25.93 (v162(sK0_VarCurr) <=> v162(constB21)),
% 39.52/25.93 inference(symmetry,[status(thm)],[27502])).
% 39.52/25.93 tff(27504,plain,
% 39.52/25.93 (v162(constB21)),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[17398, 27503])).
% 39.52/25.93 tff(27505,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB15) | (~v144(constB15)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB15) | (~v144(constB15)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27506,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB15) | (~v144(constB15)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27507,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB15) | (~v144(constB15))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27506, 27505])).
% 39.52/25.93 tff(27508,plain,
% 39.52/25.93 (~v144(constB15)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27507, 17003, 2361])).
% 39.52/25.93 tff(27509,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB15) | (~v142(constB15)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB15) | (~v142(constB15)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27510,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB15) | (~v142(constB15)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27511,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB15) | (~v142(constB15))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27510, 27509])).
% 39.52/25.93 tff(27512,plain,
% 39.52/25.93 (~v142(constB15)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27511, 17014, 27508])).
% 39.52/25.93 tff(27513,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB15)) | (~v140(constB15)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB15)) | (~v140(constB15)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27514,plain,
% 39.52/25.93 (((~v140(constB15)) | (~v138(constB15))) <=> ((~v138(constB15)) | (~v140(constB15)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27515,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB15)) | (~v138(constB15)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB15)) | (~v140(constB15))))),
% 39.52/25.93 inference(monotonicity,[status(thm)],[27514])).
% 39.52/25.93 tff(27516,plain,
% 39.52/25.93 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB15)) | (~v138(constB15)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB15)) | (~v140(constB15)))),
% 39.52/25.93 inference(transitivity,[status(thm)],[27515, 27513])).
% 39.52/25.93 tff(27517,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB15)) | (~v138(constB15)))),
% 39.52/25.93 inference(quant_inst,[status(thm)],[])).
% 39.52/25.93 tff(27518,plain,
% 39.52/25.93 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB15)) | (~v140(constB15))),
% 39.52/25.93 inference(modus_ponens,[status(thm)],[27517, 27516])).
% 39.52/25.93 tff(27519,plain,
% 39.52/25.93 (~v138(constB15)),
% 39.52/25.93 inference(unit_resolution,[status(thm)],[27518, 108, 25730])).
% 39.52/25.93 tff(27520,plain,
% 39.52/25.93 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB15) | v142(constB15) | (~v135(constB15)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB15) | v142(constB15) | (~v135(constB15)))),
% 39.52/25.93 inference(rewrite,[status(thm)],[])).
% 39.52/25.93 tff(27521,plain,
% 39.52/25.93 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB15) | v142(constB15) | (~v135(constB15)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27522,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB15) | v142(constB15) | (~v135(constB15))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27521, 27520])).
% 39.52/25.94 tff(27523,plain,
% 39.52/25.94 (v142(constB15) | (~v135(constB15))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27522, 17028, 27519])).
% 39.52/25.94 tff(27524,plain,
% 39.52/25.94 (~v135(constB15)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27523, 27512])).
% 39.52/25.94 tff(27525,plain,
% 39.52/25.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB15, constB16)) | v135(constB15) | (~v137(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB15, constB16)) | v135(constB15) | (~v137(constB16)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27526,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB15, constB16)) | v135(constB15) | (~v137(constB16)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27527,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB15, constB16)) | v135(constB15) | (~v137(constB16))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27526, 27525])).
% 39.52/25.94 tff(27528,plain,
% 39.52/25.94 (v135(constB15) | (~v137(constB16))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27527, 17043, 2282])).
% 39.52/25.94 tff(27529,plain,
% 39.52/25.94 (~v137(constB16)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27528, 27524])).
% 39.52/25.94 tff(27530,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB16) | (~v138(constB16)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB16) | (~v138(constB16)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27531,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB16) | (~v138(constB16)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27532,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB16) | (~v138(constB16))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27531, 27530])).
% 39.52/25.94 tff(27533,plain,
% 39.52/25.94 (~v138(constB16)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27532, 17055, 27529])).
% 39.52/25.94 tff(27534,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB16) | (~v144(constB16)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB16) | (~v144(constB16)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27535,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB16) | (~v144(constB16)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27536,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB16) | (~v144(constB16))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27535, 27534])).
% 39.52/25.94 tff(27537,plain,
% 39.52/25.94 (~v144(constB16)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27536, 17077, 25755])).
% 39.52/25.94 tff(27538,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB16) | (~v142(constB16)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB16) | (~v142(constB16)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27539,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB16) | (~v142(constB16)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27540,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB16) | (~v142(constB16))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27539, 27538])).
% 39.52/25.94 tff(27541,plain,
% 39.52/25.94 (~v142(constB16)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27540, 17014, 27537])).
% 39.52/25.94 tff(27542,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB16) | v142(constB16) | (~v135(constB16)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB16) | v142(constB16) | (~v135(constB16)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27543,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB16) | v142(constB16) | (~v135(constB16)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27544,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB16) | v142(constB16) | (~v135(constB16))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27543, 27542])).
% 39.52/25.94 tff(27545,plain,
% 39.52/25.94 (v138(constB16) | (~v135(constB16))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27544, 17028, 27541])).
% 39.52/25.94 tff(27546,plain,
% 39.52/25.94 (~v135(constB16)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27545, 27533])).
% 39.52/25.94 tff(27547,plain,
% 39.52/25.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB16, constB17)) | v135(constB16) | (~v137(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB16, constB17)) | v135(constB16) | (~v137(constB17)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27548,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB16, constB17)) | v135(constB16) | (~v137(constB17)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27549,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB16, constB17)) | v135(constB16) | (~v137(constB17))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27548, 27547])).
% 39.52/25.94 tff(27550,plain,
% 39.52/25.94 (v135(constB16) | (~v137(constB17))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27549, 17043, 2396])).
% 39.52/25.94 tff(27551,plain,
% 39.52/25.94 (~v137(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27550, 27546])).
% 39.52/25.94 tff(27552,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB17) | (~v154(constB17)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB17) | (~v154(constB17)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27553,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB17) | (~v154(constB17)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27554,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB17) | (~v154(constB17))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27553, 27552])).
% 39.52/25.94 tff(27555,plain,
% 39.52/25.94 (~v154(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27554, 17105, 27551])).
% 39.52/25.94 tff(27556,assumption,(v18(constB18)), introduced(assumption)).
% 39.52/25.94 tff(27557,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB18))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27558,plain,
% 39.52/25.94 ($false),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27557, 8, 27556])).
% 39.52/25.94 tff(27559,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.94 tff(27560,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27561,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27562,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27561, 27560])).
% 39.52/25.94 tff(27563,plain,
% 39.52/25.94 (v22(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27562, 21, 2557])).
% 39.52/25.94 tff(27564,plain,
% 39.52/25.94 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB18)) | (~v22(constB18)) | v18(constB18))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB18)) | (~v22(constB18)) | v18(constB18))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27565,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB18)) | (~v22(constB18)) | v18(constB18))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27566,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB18)) | (~v22(constB18)) | v18(constB18)),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27565, 27564])).
% 39.52/25.94 tff(27567,plain,
% 39.52/25.94 ((~v19(constB18)) | v18(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27566, 35, 27563])).
% 39.52/25.94 tff(27568,plain,
% 39.52/25.94 (~v19(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27567, 27559])).
% 39.52/25.94 tff(27569,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27570,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27571,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 39.52/25.94 tff(27572,plain,
% 39.52/25.94 (v13(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27571, 50, 27568])).
% 39.52/25.94 tff(27573,plain,
% 39.52/25.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27574,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27575,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17)),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27574, 27573])).
% 39.52/25.94 tff(27576,plain,
% 39.52/25.94 ((~v13(constB18)) | v9(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27575, 67, 2537])).
% 39.52/25.94 tff(27577,plain,
% 39.52/25.94 (v9(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27576, 27572])).
% 39.52/25.94 tff(27578,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v141(constB17))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB17) | (~v9(constB17)) | v141(constB17))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27579,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v141(constB17))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27580,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB17) | (~v9(constB17)) | v141(constB17)),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27579, 27578])).
% 39.52/25.94 tff(27581,plain,
% 39.52/25.94 ((~v9(constB17)) | v141(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27580, 85, 2393])).
% 39.52/25.94 tff(27582,plain,
% 39.52/25.94 (v141(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27581, 27577])).
% 39.52/25.94 tff(27583,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB17) | (~v141(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB17) | (~v141(constB17)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27584,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB17) | (~v141(constB17)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27585,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB17) | (~v141(constB17))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 39.52/25.94 tff(27586,plain,
% 39.52/25.94 (v140(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27585, 97, 27582])).
% 39.52/25.94 tff(27587,plain,
% 39.52/25.94 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB17)) | (~v153(constB17)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB17)) | (~v153(constB17)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27588,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB17)) | (~v153(constB17)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27589,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB17)) | (~v153(constB17))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 39.52/25.94 tff(27590,plain,
% 39.52/25.94 (~v153(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27589, 17156, 27586])).
% 39.52/25.94 tff(27591,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB17) | v154(constB17) | (~v150(constB17)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB17) | v154(constB17) | (~v150(constB17)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27592,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB17) | v154(constB17) | (~v150(constB17)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27593,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB17) | v154(constB17) | (~v150(constB17))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27592, 27591])).
% 39.52/25.94 tff(27594,plain,
% 39.52/25.94 (v154(constB17) | (~v150(constB17))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27593, 17170, 27590])).
% 39.52/25.94 tff(27595,plain,
% 39.52/25.94 (~v150(constB17)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27594, 27555])).
% 39.52/25.94 tff(27596,plain,
% 39.52/25.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB17, constB18)) | v150(constB17) | (~v152(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB17, constB18)) | v150(constB17) | (~v152(constB18)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27597,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB17, constB18)) | v150(constB17) | (~v152(constB18)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27598,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB17, constB18)) | v150(constB17) | (~v152(constB18))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27597, 27596])).
% 39.52/25.94 tff(27599,plain,
% 39.52/25.94 (v150(constB17) | (~v152(constB18))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27598, 17185, 2537])).
% 39.52/25.94 tff(27600,plain,
% 39.52/25.94 (~v152(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27599, 27595])).
% 39.52/25.94 tff(27601,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB18) | (~v153(constB18)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB18) | (~v153(constB18)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27602,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB18) | (~v153(constB18)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27603,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB18) | (~v153(constB18))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27602, 27601])).
% 39.52/25.94 tff(27604,plain,
% 39.52/25.94 (~v153(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27603, 17197, 27600])).
% 39.52/25.94 tff(27605,plain,
% 39.52/25.94 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB18)) | (~v141(constB18)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB18)) | (~v141(constB18)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27606,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB18)) | (~v141(constB18)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27607,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB18)) | (~v141(constB18))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27606, 27605])).
% 39.52/25.94 tff(27608,plain,
% 39.52/25.94 (~v141(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27607, 17066, 2557])).
% 39.52/25.94 tff(27609,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB18) | (~v155(constB18)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB18) | (~v155(constB18)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27610,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB18) | (~v155(constB18)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27611,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB18) | (~v155(constB18))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27610, 27609])).
% 39.52/25.94 tff(27612,plain,
% 39.52/25.94 (~v155(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27611, 17212, 27608])).
% 39.52/25.94 tff(27613,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB18) | (~v154(constB18)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB18) | (~v154(constB18)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27614,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB18) | (~v154(constB18)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27615,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB18) | (~v154(constB18))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27614, 27613])).
% 39.52/25.94 tff(27616,plain,
% 39.52/25.94 (~v154(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27615, 17223, 27612])).
% 39.52/25.94 tff(27617,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB18) | v154(constB18) | (~v150(constB18)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB18) | v154(constB18) | (~v150(constB18)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27618,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB18) | v154(constB18) | (~v150(constB18)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27619,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB18) | v154(constB18) | (~v150(constB18))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27618, 27617])).
% 39.52/25.94 tff(27620,plain,
% 39.52/25.94 (v153(constB18) | (~v150(constB18))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27619, 17170, 27616])).
% 39.52/25.94 tff(27621,plain,
% 39.52/25.94 (~v150(constB18)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27620, 27604])).
% 39.52/25.94 tff(27622,plain,
% 39.52/25.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB18, constB19)) | v150(constB18) | (~v152(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB18, constB19)) | v150(constB18) | (~v152(constB19)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27623,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB18, constB19)) | v150(constB18) | (~v152(constB19)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27624,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB18, constB19)) | v150(constB18) | (~v152(constB19))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27623, 27622])).
% 39.52/25.94 tff(27625,plain,
% 39.52/25.94 (v150(constB18) | (~v152(constB19))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27624, 17185, 2602])).
% 39.52/25.94 tff(27626,plain,
% 39.52/25.94 (~v152(constB19)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27625, 27621])).
% 39.52/25.94 tff(27627,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB19) | (~v164(constB19)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB19) | (~v164(constB19)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27628,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB19) | (~v164(constB19)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27629,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB19) | (~v164(constB19))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27628, 27627])).
% 39.52/25.94 tff(27630,plain,
% 39.52/25.94 (~v164(constB19)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27629, 17247, 27626])).
% 39.52/25.94 tff(27631,plain,
% 39.52/25.94 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB19)) | (~v163(constB19)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB19)) | (~v163(constB19)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27632,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB19)) | (~v163(constB19)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27633,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB19)) | (~v163(constB19))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27632, 27631])).
% 39.52/25.94 tff(27634,plain,
% 39.52/25.94 (~v163(constB19)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27633, 17298, 23245])).
% 39.52/25.94 tff(27635,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB19)) | v163(constB19) | v164(constB19))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB19)) | v163(constB19) | v164(constB19))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27636,plain,
% 39.52/25.94 ((v164(constB19) | v163(constB19) | (~v160(constB19))) <=> ((~v160(constB19)) | v163(constB19) | v164(constB19))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27637,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB19) | v163(constB19) | (~v160(constB19)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB19)) | v163(constB19) | v164(constB19)))),
% 39.52/25.94 inference(monotonicity,[status(thm)],[27636])).
% 39.52/25.94 tff(27638,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB19) | v163(constB19) | (~v160(constB19)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB19)) | v163(constB19) | v164(constB19))),
% 39.52/25.94 inference(transitivity,[status(thm)],[27637, 27635])).
% 39.52/25.94 tff(27639,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB19) | v163(constB19) | (~v160(constB19)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27640,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB19)) | v163(constB19) | v164(constB19)),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27639, 27638])).
% 39.52/25.94 tff(27641,plain,
% 39.52/25.94 ((~v160(constB19)) | v164(constB19)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27640, 17312, 27634])).
% 39.52/25.94 tff(27642,plain,
% 39.52/25.94 (~v160(constB19)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27641, 27630])).
% 39.52/25.94 tff(27643,plain,
% 39.52/25.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB19, constB20)) | v160(constB19) | (~v162(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB19, constB20)) | v160(constB19) | (~v162(constB20)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27644,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB19, constB20)) | v160(constB19) | (~v162(constB20)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27645,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB19, constB20)) | v160(constB19) | (~v162(constB20))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27644, 27643])).
% 39.52/25.94 tff(27646,plain,
% 39.52/25.94 (v160(constB19) | (~v162(constB20))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27645, 17330, 2757])).
% 39.52/25.94 tff(27647,plain,
% 39.52/25.94 (~v162(constB20)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27646, 27642])).
% 39.52/25.94 tff(27648,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB20) | (~v163(constB20)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB20) | (~v163(constB20)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27649,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB20) | (~v163(constB20)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27650,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB20) | (~v163(constB20))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 39.52/25.94 tff(27651,plain,
% 39.52/25.94 (~v163(constB20)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27650, 17342, 27647])).
% 39.52/25.94 tff(27652,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB20) | (~v155(constB20)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB20) | (~v155(constB20)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27653,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB20) | (~v155(constB20)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27654,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB20) | (~v155(constB20))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27653, 27652])).
% 39.52/25.94 tff(27655,plain,
% 39.52/25.94 (~v155(constB20)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27654, 17212, 23267])).
% 39.52/25.94 tff(27656,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB20) | (~v164(constB20)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB20) | (~v164(constB20)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27657,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB20) | (~v164(constB20)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27658,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB20) | (~v164(constB20))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27657, 27656])).
% 39.52/25.94 tff(27659,plain,
% 39.52/25.94 (~v164(constB20)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27658, 17361, 27655])).
% 39.52/25.94 tff(27660,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB20)) | v164(constB20) | v163(constB20))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB20)) | v164(constB20) | v163(constB20))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27661,plain,
% 39.52/25.94 ((v164(constB20) | v163(constB20) | (~v160(constB20))) <=> ((~v160(constB20)) | v164(constB20) | v163(constB20))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27662,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB20) | v163(constB20) | (~v160(constB20)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB20)) | v164(constB20) | v163(constB20)))),
% 39.52/25.94 inference(monotonicity,[status(thm)],[27661])).
% 39.52/25.94 tff(27663,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB20) | v163(constB20) | (~v160(constB20)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB20)) | v164(constB20) | v163(constB20))),
% 39.52/25.94 inference(transitivity,[status(thm)],[27662, 27660])).
% 39.52/25.94 tff(27664,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB20) | v163(constB20) | (~v160(constB20)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27665,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB20)) | v164(constB20) | v163(constB20)),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27664, 27663])).
% 39.52/25.94 tff(27666,plain,
% 39.52/25.94 ((~v160(constB20)) | v163(constB20)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27665, 17312, 27659])).
% 39.52/25.94 tff(27667,plain,
% 39.52/25.94 (~v160(constB20)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27666, 27651])).
% 39.52/25.94 tff(27668,plain,
% 39.52/25.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB20, constB21)) | v160(constB20) | (~v162(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB20, constB21)) | v160(constB20) | (~v162(constB21)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27669,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB20, constB21)) | v160(constB20) | (~v162(constB21)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27670,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB20, constB21)) | v160(constB20) | (~v162(constB21))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27669, 27668])).
% 39.52/25.94 tff(27671,plain,
% 39.52/25.94 (v160(constB20) | (~v162(constB21))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27670, 17330, 2971])).
% 39.52/25.94 tff(27672,plain,
% 39.52/25.94 (~v162(constB21)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27671, 27667])).
% 39.52/25.94 tff(27673,plain,
% 39.52/25.94 ($false),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27672, 27504])).
% 39.52/25.94 tff(27674,plain,(~(constB21 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.94 tff(27675,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.94 tff(27676,plain,
% 39.52/25.94 (v162(constB157) <=> v162(sK0_VarCurr)),
% 39.52/25.94 inference(monotonicity,[status(thm)],[27675])).
% 39.52/25.94 tff(27677,plain,
% 39.52/25.94 (v162(sK0_VarCurr) <=> v162(constB157)),
% 39.52/25.94 inference(symmetry,[status(thm)],[27676])).
% 39.52/25.94 tff(27678,plain,
% 39.52/25.94 (v162(constB157)),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[17398, 27677])).
% 39.52/25.94 tff(27679,plain,
% 39.52/25.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB151, bitIndex1)) | (~v145(constB151)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB151, bitIndex1)) | (~v145(constB151)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27680,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB151, bitIndex1)) | (~v145(constB151)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27681,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB151, bitIndex1)) | (~v145(constB151))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 39.52/25.94 tff(27682,plain,
% 39.52/25.94 (~v145(constB151)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27681, 1116, 17924])).
% 39.52/25.94 tff(27683,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB151) | (~v144(constB151)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB151) | (~v144(constB151)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27684,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB151) | (~v144(constB151)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27685,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB151) | (~v144(constB151))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27684, 27683])).
% 39.52/25.94 tff(27686,plain,
% 39.52/25.94 (~v144(constB151)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27685, 17003, 27682])).
% 39.52/25.94 tff(27687,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB151) | (~v142(constB151)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB151) | (~v142(constB151)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27688,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB151) | (~v142(constB151)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27689,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB151) | (~v142(constB151))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27688, 27687])).
% 39.52/25.94 tff(27690,plain,
% 39.52/25.94 (~v142(constB151)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27689, 17014, 27686])).
% 39.52/25.94 tff(27691,plain,
% 39.52/25.94 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB151)) | (~v140(constB151)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB151)) | (~v140(constB151)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27692,plain,
% 39.52/25.94 (((~v140(constB151)) | (~v138(constB151))) <=> ((~v138(constB151)) | (~v140(constB151)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27693,plain,
% 39.52/25.94 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB151)) | (~v138(constB151)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB151)) | (~v140(constB151))))),
% 39.52/25.94 inference(monotonicity,[status(thm)],[27692])).
% 39.52/25.94 tff(27694,plain,
% 39.52/25.94 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB151)) | (~v138(constB151)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB151)) | (~v140(constB151)))),
% 39.52/25.94 inference(transitivity,[status(thm)],[27693, 27691])).
% 39.52/25.94 tff(27695,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB151)) | (~v138(constB151)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27696,plain,
% 39.52/25.94 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB151)) | (~v140(constB151))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27695, 27694])).
% 39.52/25.94 tff(27697,plain,
% 39.52/25.94 (~v138(constB151)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27696, 108, 17149])).
% 39.52/25.94 tff(27698,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB151) | v142(constB151) | (~v135(constB151)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB151) | v142(constB151) | (~v135(constB151)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27699,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB151) | v142(constB151) | (~v135(constB151)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27700,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB151) | v142(constB151) | (~v135(constB151))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27699, 27698])).
% 39.52/25.94 tff(27701,plain,
% 39.52/25.94 (v142(constB151) | (~v135(constB151))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27700, 17028, 27697])).
% 39.52/25.94 tff(27702,plain,
% 39.52/25.94 (~v135(constB151)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27701, 27690])).
% 39.52/25.94 tff(27703,plain,
% 39.52/25.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27704,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27705,plain,
% 39.52/25.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 39.52/25.94 tff(27706,plain,
% 39.52/25.94 (v135(constB151) | (~v137(constB152))),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27705, 17043, 17132])).
% 39.52/25.94 tff(27707,plain,
% 39.52/25.94 (~v137(constB152)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27706, 27702])).
% 39.52/25.94 tff(27708,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB152) | (~v138(constB152)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB152) | (~v138(constB152)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27709,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB152) | (~v138(constB152)))),
% 39.52/25.94 inference(quant_inst,[status(thm)],[])).
% 39.52/25.94 tff(27710,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB152) | (~v138(constB152))),
% 39.52/25.94 inference(modus_ponens,[status(thm)],[27709, 27708])).
% 39.52/25.94 tff(27711,plain,
% 39.52/25.94 (~v138(constB152)),
% 39.52/25.94 inference(unit_resolution,[status(thm)],[27710, 17055, 27707])).
% 39.52/25.94 tff(27712,plain,
% 39.52/25.94 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB152) | (~v144(constB152)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB152) | (~v144(constB152)))),
% 39.52/25.94 inference(rewrite,[status(thm)],[])).
% 39.52/25.94 tff(27713,plain,
% 39.52/25.94 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB152) | (~v144(constB152)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27714,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB152) | (~v144(constB152))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27713, 27712])).
% 39.52/25.95 tff(27715,plain,
% 39.52/25.95 (~v144(constB152)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27714, 17077, 17205])).
% 39.52/25.95 tff(27716,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB152) | (~v142(constB152)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB152) | (~v142(constB152)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27717,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB152) | (~v142(constB152)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27718,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB152) | (~v142(constB152))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27717, 27716])).
% 39.52/25.95 tff(27719,plain,
% 39.52/25.95 (~v142(constB152)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27718, 17014, 27715])).
% 39.52/25.95 tff(27720,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB152) | v142(constB152) | (~v135(constB152)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB152) | v142(constB152) | (~v135(constB152)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27721,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB152) | v142(constB152) | (~v135(constB152)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27722,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB152) | v142(constB152) | (~v135(constB152))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27721, 27720])).
% 39.52/25.95 tff(27723,plain,
% 39.52/25.95 (v138(constB152) | (~v135(constB152))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27722, 17028, 27719])).
% 39.52/25.95 tff(27724,plain,
% 39.52/25.95 (~v135(constB152)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27723, 27711])).
% 39.52/25.95 tff(27725,plain,
% 39.52/25.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27726,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27727,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27726, 27725])).
% 39.52/25.95 tff(27728,plain,
% 39.52/25.95 (v135(constB152) | (~v137(constB153))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27727, 17043, 17235])).
% 39.52/25.95 tff(27729,plain,
% 39.52/25.95 (~v137(constB153)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27728, 27724])).
% 39.52/25.95 tff(27730,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB153) | (~v154(constB153)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB153) | (~v154(constB153)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27731,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB153) | (~v154(constB153)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27732,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB153) | (~v154(constB153))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27731, 27730])).
% 39.52/25.95 tff(27733,plain,
% 39.52/25.95 (~v154(constB153)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27732, 17105, 27729])).
% 39.52/25.95 tff(27734,plain,
% 39.52/25.95 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB153)) | (~v153(constB153)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB153)) | (~v153(constB153)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27735,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB153)) | (~v153(constB153)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27736,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB153)) | (~v153(constB153))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27735, 27734])).
% 39.52/25.95 tff(27737,plain,
% 39.52/25.95 (~v153(constB153)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27736, 17156, 17291])).
% 39.52/25.95 tff(27738,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB153) | v154(constB153) | (~v150(constB153)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB153) | v154(constB153) | (~v150(constB153)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27739,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB153) | v154(constB153) | (~v150(constB153)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27740,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB153) | v154(constB153) | (~v150(constB153))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27739, 27738])).
% 39.52/25.95 tff(27741,plain,
% 39.52/25.95 (v154(constB153) | (~v150(constB153))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27740, 17170, 27737])).
% 39.52/25.95 tff(27742,plain,
% 39.52/25.95 (~v150(constB153)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27741, 27733])).
% 39.52/25.95 tff(27743,plain,
% 39.52/25.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27744,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27745,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27744, 27743])).
% 39.52/25.95 tff(27746,plain,
% 39.52/25.95 (v150(constB153) | (~v152(constB154))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27745, 17185, 17274])).
% 39.52/25.95 tff(27747,plain,
% 39.52/25.95 (~v152(constB154)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27746, 27742])).
% 39.52/25.95 tff(27748,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB154) | (~v153(constB154)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB154) | (~v153(constB154)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27749,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB154) | (~v153(constB154)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27750,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB154) | (~v153(constB154))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27749, 27748])).
% 39.52/25.95 tff(27751,plain,
% 39.52/25.95 (~v153(constB154)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27750, 17197, 27747])).
% 39.52/25.95 tff(27752,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB154) | (~v154(constB154)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB154) | (~v154(constB154)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27753,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB154) | (~v154(constB154)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27754,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB154) | (~v154(constB154))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27753, 27752])).
% 39.52/25.95 tff(27755,plain,
% 39.52/25.95 (~v154(constB154)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27754, 17223, 17354])).
% 39.52/25.95 tff(27756,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB154) | v154(constB154) | (~v150(constB154)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB154) | v154(constB154) | (~v150(constB154)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27757,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB154) | v154(constB154) | (~v150(constB154)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27758,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB154) | v154(constB154) | (~v150(constB154))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27757, 27756])).
% 39.52/25.95 tff(27759,plain,
% 39.52/25.95 (v153(constB154) | (~v150(constB154))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27758, 17170, 27755])).
% 39.52/25.95 tff(27760,plain,
% 39.52/25.95 (~v150(constB154)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27759, 27751])).
% 39.52/25.95 tff(27761,plain,
% 39.52/25.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27762,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27763,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 39.52/25.95 tff(27764,plain,
% 39.52/25.95 (v150(constB154) | (~v152(constB155))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27763, 17185, 17376])).
% 39.52/25.95 tff(27765,plain,
% 39.52/25.95 (~v152(constB155)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27764, 27760])).
% 39.52/25.95 tff(27766,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB155) | (~v164(constB155)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB155) | (~v164(constB155)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27767,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB155) | (~v164(constB155)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27768,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB155) | (~v164(constB155))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27767, 27766])).
% 39.52/25.95 tff(27769,plain,
% 39.52/25.95 (~v164(constB155)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27768, 17247, 27765])).
% 39.52/25.95 tff(27770,plain,
% 39.52/25.95 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB155)) | (~v163(constB155)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB155)) | (~v163(constB155)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27771,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB155)) | (~v163(constB155)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27772,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB155)) | (~v163(constB155))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27771, 27770])).
% 39.52/25.95 tff(27773,plain,
% 39.52/25.95 (~v163(constB155)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27772, 17298, 25821])).
% 39.52/25.95 tff(27774,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB155)) | v164(constB155) | v163(constB155))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB155)) | v164(constB155) | v163(constB155))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27775,plain,
% 39.52/25.95 ((v164(constB155) | v163(constB155) | (~v160(constB155))) <=> ((~v160(constB155)) | v164(constB155) | v163(constB155))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27776,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB155) | v163(constB155) | (~v160(constB155)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB155)) | v164(constB155) | v163(constB155)))),
% 39.52/25.95 inference(monotonicity,[status(thm)],[27775])).
% 39.52/25.95 tff(27777,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB155) | v163(constB155) | (~v160(constB155)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB155)) | v164(constB155) | v163(constB155))),
% 39.52/25.95 inference(transitivity,[status(thm)],[27776, 27774])).
% 39.52/25.95 tff(27778,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB155) | v163(constB155) | (~v160(constB155)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27779,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB155)) | v164(constB155) | v163(constB155)),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27778, 27777])).
% 39.52/25.95 tff(27780,plain,
% 39.52/25.95 ((~v160(constB155)) | v164(constB155)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27779, 17312, 27773])).
% 39.52/25.95 tff(27781,plain,
% 39.52/25.95 (~v160(constB155)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27780, 27769])).
% 39.52/25.95 tff(27782,plain,
% 39.52/25.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27783,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27784,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27783, 27782])).
% 39.52/25.95 tff(27785,plain,
% 39.52/25.95 (v160(constB155) | (~v162(constB156))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27784, 17330, 18374])).
% 39.52/25.95 tff(27786,plain,
% 39.52/25.95 (~v162(constB156)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27785, 27781])).
% 39.52/25.95 tff(27787,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB156) | (~v163(constB156)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB156) | (~v163(constB156)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27788,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB156) | (~v163(constB156)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27789,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB156) | (~v163(constB156))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27788, 27787])).
% 39.52/25.95 tff(27790,plain,
% 39.52/25.95 (~v163(constB156)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27789, 17342, 27786])).
% 39.52/25.95 tff(27791,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB156) | (~v155(constB156)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB156) | (~v155(constB156)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27792,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB156) | (~v155(constB156)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27793,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB156) | (~v155(constB156))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27792, 27791])).
% 39.52/25.95 tff(27794,plain,
% 39.52/25.95 (~v155(constB156)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27793, 17212, 25843])).
% 39.52/25.95 tff(27795,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB156) | (~v164(constB156)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB156) | (~v164(constB156)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27796,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB156) | (~v164(constB156)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27797,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB156) | (~v164(constB156))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27796, 27795])).
% 39.52/25.95 tff(27798,plain,
% 39.52/25.95 (~v164(constB156)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27797, 17361, 27794])).
% 39.52/25.95 tff(27799,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB156)) | v164(constB156) | v163(constB156))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB156)) | v164(constB156) | v163(constB156))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27800,plain,
% 39.52/25.95 ((v164(constB156) | v163(constB156) | (~v160(constB156))) <=> ((~v160(constB156)) | v164(constB156) | v163(constB156))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27801,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB156) | v163(constB156) | (~v160(constB156)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB156)) | v164(constB156) | v163(constB156)))),
% 39.52/25.95 inference(monotonicity,[status(thm)],[27800])).
% 39.52/25.95 tff(27802,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB156) | v163(constB156) | (~v160(constB156)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB156)) | v164(constB156) | v163(constB156))),
% 39.52/25.95 inference(transitivity,[status(thm)],[27801, 27799])).
% 39.52/25.95 tff(27803,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB156) | v163(constB156) | (~v160(constB156)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27804,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB156)) | v164(constB156) | v163(constB156)),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27803, 27802])).
% 39.52/25.95 tff(27805,plain,
% 39.52/25.95 ((~v160(constB156)) | v163(constB156)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27804, 17312, 27798])).
% 39.52/25.95 tff(27806,plain,
% 39.52/25.95 (~v160(constB156)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27805, 27790])).
% 39.52/25.95 tff(27807,plain,
% 39.52/25.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27808,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27809,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27808, 27807])).
% 39.52/25.95 tff(27810,plain,
% 39.52/25.95 (v160(constB156) | (~v162(constB157))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27809, 17330, 18467])).
% 39.52/25.95 tff(27811,plain,
% 39.52/25.95 (~v162(constB157)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27810, 27806])).
% 39.52/25.95 tff(27812,plain,
% 39.52/25.95 ($false),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27811, 27678])).
% 39.52/25.95 tff(27813,plain,(~(constB157 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.95 tff(27814,assumption,(constB58 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.95 tff(27815,plain,
% 39.52/25.95 (v1(constB58) <=> v1(sK0_VarCurr)),
% 39.52/25.95 inference(monotonicity,[status(thm)],[27814])).
% 39.52/25.95 tff(27816,plain,
% 39.52/25.95 (v1(sK0_VarCurr) <=> v1(constB58)),
% 39.52/25.95 inference(symmetry,[status(thm)],[27815])).
% 39.52/25.95 tff(27817,plain,
% 39.52/25.95 ((~v1(sK0_VarCurr)) <=> (~v1(constB58))),
% 39.52/25.95 inference(monotonicity,[status(thm)],[27816])).
% 39.52/25.95 tff(27818,plain,
% 39.52/25.95 (~v1(constB58)),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[23858, 27817])).
% 39.52/25.95 tff(27819,plain,
% 39.52/25.95 ($false),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[7265, 27818])).
% 39.52/25.95 tff(27820,plain,(~(constB58 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.95 tff(27821,assumption,(constB79 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.95 tff(27822,plain,
% 39.52/25.95 (v162(constB79) <=> v162(sK0_VarCurr)),
% 39.52/25.95 inference(monotonicity,[status(thm)],[27821])).
% 39.52/25.95 tff(27823,plain,
% 39.52/25.95 (v162(sK0_VarCurr) <=> v162(constB79)),
% 39.52/25.95 inference(symmetry,[status(thm)],[27822])).
% 39.52/25.95 tff(27824,plain,
% 39.52/25.95 (v162(constB79)),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[17398, 27823])).
% 39.52/25.95 tff(27825,plain,
% 39.52/25.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v145(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB73, bitIndex2)) | (~v145(constB73)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27826,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v145(constB73)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27827,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB73, bitIndex2)) | (~v145(constB73))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27826, 27825])).
% 39.52/25.95 tff(27828,plain,
% 39.52/25.95 (~v145(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27827, 5709, 8763])).
% 39.52/25.95 tff(27829,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB73) | (~v144(constB73)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB73) | (~v144(constB73)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27830,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB73) | (~v144(constB73)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27831,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB73) | (~v144(constB73))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27830, 27829])).
% 39.52/25.95 tff(27832,plain,
% 39.52/25.95 (~v144(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27831, 17003, 27828])).
% 39.52/25.95 tff(27833,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB73) | (~v142(constB73)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27834,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB73) | (~v142(constB73)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27835,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB73) | (~v142(constB73))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27834, 27833])).
% 39.52/25.95 tff(27836,plain,
% 39.52/25.95 (~v142(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27835, 17014, 27832])).
% 39.52/25.95 tff(27837,assumption,(v18(constB74)), introduced(assumption)).
% 39.52/25.95 tff(27838,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB74))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27839,plain,
% 39.52/25.95 ($false),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27838, 8, 27837])).
% 39.52/25.95 tff(27840,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.95 tff(27841,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27842,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27843,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27842, 27841])).
% 39.52/25.95 tff(27844,plain,
% 39.52/25.95 (v22(constB74)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27843, 21, 8886])).
% 39.52/25.95 tff(27845,plain,
% 39.52/25.95 (((~![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))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27846,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB74)) | (~v22(constB74)) | v18(constB74))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27847,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB74)) | (~v22(constB74)) | v18(constB74)),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27846, 27845])).
% 39.52/25.95 tff(27848,plain,
% 39.52/25.95 ((~v19(constB74)) | v18(constB74)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27847, 35, 27844])).
% 39.52/25.95 tff(27849,plain,
% 39.52/25.95 (~v19(constB74)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27848, 27840])).
% 39.52/25.95 tff(27850,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27851,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27852,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27851, 27850])).
% 39.52/25.95 tff(27853,plain,
% 39.52/25.95 (v13(constB74)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27852, 50, 27849])).
% 39.52/25.95 tff(27854,plain,
% 39.52/25.95 (((~![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))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27855,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27856,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73)),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27855, 27854])).
% 39.52/25.95 tff(27857,plain,
% 39.52/25.95 ((~v13(constB74)) | v9(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27856, 67, 8866])).
% 39.52/25.95 tff(27858,plain,
% 39.52/25.95 (v9(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27857, 27853])).
% 39.52/25.95 tff(27859,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v141(constB73))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB73) | (~v9(constB73)) | v141(constB73))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27860,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v141(constB73))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27861,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB73) | (~v9(constB73)) | v141(constB73)),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27860, 27859])).
% 39.52/25.95 tff(27862,plain,
% 39.52/25.95 ((~v9(constB73)) | v141(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27861, 85, 8739])).
% 39.52/25.95 tff(27863,plain,
% 39.52/25.95 (v141(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27862, 27858])).
% 39.52/25.95 tff(27864,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB73) | (~v141(constB73)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB73) | (~v141(constB73)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27865,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB73) | (~v141(constB73)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27866,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB73) | (~v141(constB73))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27865, 27864])).
% 39.52/25.95 tff(27867,plain,
% 39.52/25.95 (v140(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27866, 97, 27863])).
% 39.52/25.95 tff(27868,plain,
% 39.52/25.95 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB73)) | (~v138(constB73)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB73)) | (~v138(constB73)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27869,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB73)) | (~v138(constB73)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27870,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB73)) | (~v138(constB73))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27869, 27868])).
% 39.52/25.95 tff(27871,plain,
% 39.52/25.95 (~v138(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27870, 108, 27867])).
% 39.52/25.95 tff(27872,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB73) | v142(constB73) | (~v135(constB73)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB73) | v142(constB73) | (~v135(constB73)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27873,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB73) | v142(constB73) | (~v135(constB73)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27874,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB73) | v142(constB73) | (~v135(constB73))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27873, 27872])).
% 39.52/25.95 tff(27875,plain,
% 39.52/25.95 (v142(constB73) | (~v135(constB73))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27874, 17028, 27871])).
% 39.52/25.95 tff(27876,plain,
% 39.52/25.95 (~v135(constB73)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27875, 27836])).
% 39.52/25.95 tff(27877,plain,
% 39.52/25.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB73, constB74)) | v135(constB73) | (~v137(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB73, constB74)) | v135(constB73) | (~v137(constB74)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27878,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB73, constB74)) | v135(constB73) | (~v137(constB74)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27879,plain,
% 39.52/25.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB73, constB74)) | v135(constB73) | (~v137(constB74))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27878, 27877])).
% 39.52/25.95 tff(27880,plain,
% 39.52/25.95 (v135(constB73) | (~v137(constB74))),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27879, 17043, 8866])).
% 39.52/25.95 tff(27881,plain,
% 39.52/25.95 (~v137(constB74)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27880, 27876])).
% 39.52/25.95 tff(27882,plain,
% 39.52/25.95 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB74) | (~v138(constB74)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB74) | (~v138(constB74)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27883,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB74) | (~v138(constB74)))),
% 39.52/25.95 inference(quant_inst,[status(thm)],[])).
% 39.52/25.95 tff(27884,plain,
% 39.52/25.95 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB74) | (~v138(constB74))),
% 39.52/25.95 inference(modus_ponens,[status(thm)],[27883, 27882])).
% 39.52/25.95 tff(27885,plain,
% 39.52/25.95 (~v138(constB74)),
% 39.52/25.95 inference(unit_resolution,[status(thm)],[27884, 17055, 27881])).
% 39.52/25.95 tff(27886,plain,
% 39.52/25.95 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB74)) | (~v141(constB74)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB74)) | (~v141(constB74)))),
% 39.52/25.95 inference(rewrite,[status(thm)],[])).
% 39.52/25.95 tff(27887,plain,
% 39.52/25.95 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB74)) | (~v141(constB74)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27888,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB74)) | (~v141(constB74))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27887, 27886])).
% 39.52/25.96 tff(27889,plain,
% 39.52/25.96 (~v141(constB74)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27888, 17066, 8886])).
% 39.52/25.96 tff(27890,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB74) | (~v144(constB74)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB74) | (~v144(constB74)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27891,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB74) | (~v144(constB74)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27892,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB74) | (~v144(constB74))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27891, 27890])).
% 39.52/25.96 tff(27893,plain,
% 39.52/25.96 (~v144(constB74)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27892, 17077, 27889])).
% 39.52/25.96 tff(27894,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB74) | (~v142(constB74)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB74) | (~v142(constB74)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27895,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB74) | (~v142(constB74)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27896,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB74) | (~v142(constB74))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27895, 27894])).
% 39.52/25.96 tff(27897,plain,
% 39.52/25.96 (~v142(constB74)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27896, 17014, 27893])).
% 39.52/25.96 tff(27898,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB74) | v142(constB74) | (~v135(constB74)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB74) | v142(constB74) | (~v135(constB74)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27899,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB74) | v142(constB74) | (~v135(constB74)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27900,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB74) | v142(constB74) | (~v135(constB74))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27899, 27898])).
% 39.52/25.96 tff(27901,plain,
% 39.52/25.96 (v138(constB74) | (~v135(constB74))),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27900, 17028, 27897])).
% 39.52/25.96 tff(27902,plain,
% 39.52/25.96 (~v135(constB74)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27901, 27885])).
% 39.52/25.96 tff(27903,plain,
% 39.52/25.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB74, constB75)) | v135(constB74) | (~v137(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB74, constB75)) | v135(constB74) | (~v137(constB75)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27904,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB74, constB75)) | v135(constB74) | (~v137(constB75)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27905,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB74, constB75)) | v135(constB74) | (~v137(constB75))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27904, 27903])).
% 39.52/25.96 tff(27906,plain,
% 39.52/25.96 (v135(constB74) | (~v137(constB75))),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27905, 17043, 8928])).
% 39.52/25.96 tff(27907,plain,
% 39.52/25.96 (~v137(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27906, 27902])).
% 39.52/25.96 tff(27908,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB75) | (~v154(constB75)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB75) | (~v154(constB75)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27909,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB75) | (~v154(constB75)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27910,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB75) | (~v154(constB75))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27909, 27908])).
% 39.52/25.96 tff(27911,plain,
% 39.52/25.96 (~v154(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27910, 17105, 27907])).
% 39.52/25.96 tff(27912,assumption,(v18(constB76)), introduced(assumption)).
% 39.52/25.96 tff(27913,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB76))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27914,plain,
% 39.52/25.96 ($false),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27913, 8, 27912])).
% 39.52/25.96 tff(27915,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.96 tff(27916,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27917,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27918,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27917, 27916])).
% 39.52/25.96 tff(27919,plain,
% 39.52/25.96 (v22(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27918, 21, 9097])).
% 39.52/25.96 tff(27920,plain,
% 39.52/25.96 (((~![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))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27921,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27922,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27921, 27920])).
% 39.52/25.96 tff(27923,plain,
% 39.52/25.96 ((~v19(constB76)) | v18(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27922, 35, 27919])).
% 39.52/25.96 tff(27924,plain,
% 39.52/25.96 (~v19(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27923, 27915])).
% 39.52/25.96 tff(27925,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27926,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27927,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27926, 27925])).
% 39.52/25.96 tff(27928,plain,
% 39.52/25.96 (v13(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27927, 50, 27924])).
% 39.52/25.96 tff(27929,plain,
% 39.52/25.96 (((~![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))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27930,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27931,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27930, 27929])).
% 39.52/25.96 tff(27932,plain,
% 39.52/25.96 ((~v13(constB76)) | v9(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27931, 67, 9077])).
% 39.52/25.96 tff(27933,plain,
% 39.52/25.96 (v9(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27932, 27928])).
% 39.52/25.96 tff(27934,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v141(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB75) | (~v9(constB75)) | v141(constB75))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27935,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v141(constB75))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27936,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB75) | (~v9(constB75)) | v141(constB75)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 39.52/25.96 tff(27937,plain,
% 39.52/25.96 ((~v9(constB75)) | v141(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27936, 85, 8925])).
% 39.52/25.96 tff(27938,plain,
% 39.52/25.96 (v141(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27937, 27933])).
% 39.52/25.96 tff(27939,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB75) | (~v141(constB75)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB75) | (~v141(constB75)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27940,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB75) | (~v141(constB75)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27941,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB75) | (~v141(constB75))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27940, 27939])).
% 39.52/25.96 tff(27942,plain,
% 39.52/25.96 (v140(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27941, 97, 27938])).
% 39.52/25.96 tff(27943,plain,
% 39.52/25.96 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB75)) | (~v153(constB75)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB75)) | (~v153(constB75)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27944,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB75)) | (~v153(constB75)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27945,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB75)) | (~v153(constB75))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 39.52/25.96 tff(27946,plain,
% 39.52/25.96 (~v153(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27945, 17156, 27942])).
% 39.52/25.96 tff(27947,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB75) | v154(constB75) | (~v150(constB75)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB75) | v154(constB75) | (~v150(constB75)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27948,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB75) | v154(constB75) | (~v150(constB75)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27949,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB75) | v154(constB75) | (~v150(constB75))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 39.52/25.96 tff(27950,plain,
% 39.52/25.96 (v154(constB75) | (~v150(constB75))),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27949, 17170, 27946])).
% 39.52/25.96 tff(27951,plain,
% 39.52/25.96 (~v150(constB75)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27950, 27911])).
% 39.52/25.96 tff(27952,plain,
% 39.52/25.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB75, constB76)) | v150(constB75) | (~v152(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB75, constB76)) | v150(constB75) | (~v152(constB76)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27953,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB75, constB76)) | v150(constB75) | (~v152(constB76)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27954,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB75, constB76)) | v150(constB75) | (~v152(constB76))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27953, 27952])).
% 39.52/25.96 tff(27955,plain,
% 39.52/25.96 (v150(constB75) | (~v152(constB76))),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27954, 17185, 9077])).
% 39.52/25.96 tff(27956,plain,
% 39.52/25.96 (~v152(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27955, 27951])).
% 39.52/25.96 tff(27957,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB76) | (~v153(constB76)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB76) | (~v153(constB76)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27958,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB76) | (~v153(constB76)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27959,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB76) | (~v153(constB76))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27958, 27957])).
% 39.52/25.96 tff(27960,plain,
% 39.52/25.96 (~v153(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27959, 17197, 27956])).
% 39.52/25.96 tff(27961,plain,
% 39.52/25.96 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB76)) | (~v141(constB76)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB76)) | (~v141(constB76)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27962,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB76)) | (~v141(constB76)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27963,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB76)) | (~v141(constB76))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27962, 27961])).
% 39.52/25.96 tff(27964,plain,
% 39.52/25.96 (~v141(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27963, 17066, 9097])).
% 39.52/25.96 tff(27965,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB76) | (~v155(constB76)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB76) | (~v155(constB76)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27966,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB76) | (~v155(constB76)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27967,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB76) | (~v155(constB76))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27966, 27965])).
% 39.52/25.96 tff(27968,plain,
% 39.52/25.96 (~v155(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27967, 17212, 27964])).
% 39.52/25.96 tff(27969,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB76) | (~v154(constB76)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB76) | (~v154(constB76)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27970,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB76) | (~v154(constB76)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27971,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB76) | (~v154(constB76))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27970, 27969])).
% 39.52/25.96 tff(27972,plain,
% 39.52/25.96 (~v154(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27971, 17223, 27968])).
% 39.52/25.96 tff(27973,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB76) | v154(constB76) | (~v150(constB76)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB76) | v154(constB76) | (~v150(constB76)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27974,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB76) | v154(constB76) | (~v150(constB76)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27975,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB76) | v154(constB76) | (~v150(constB76))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27974, 27973])).
% 39.52/25.96 tff(27976,plain,
% 39.52/25.96 (v153(constB76) | (~v150(constB76))),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27975, 17170, 27972])).
% 39.52/25.96 tff(27977,plain,
% 39.52/25.96 (~v150(constB76)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27976, 27960])).
% 39.52/25.96 tff(27978,plain,
% 39.52/25.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB76, constB77)) | v150(constB76) | (~v152(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB76, constB77)) | v150(constB76) | (~v152(constB77)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27979,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB76, constB77)) | v150(constB76) | (~v152(constB77)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27980,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB76, constB77)) | v150(constB76) | (~v152(constB77))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27979, 27978])).
% 39.52/25.96 tff(27981,plain,
% 39.52/25.96 (v150(constB76) | (~v152(constB77))),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27980, 17185, 9170])).
% 39.52/25.96 tff(27982,plain,
% 39.52/25.96 (~v152(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27981, 27977])).
% 39.52/25.96 tff(27983,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB77) | (~v164(constB77)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB77) | (~v164(constB77)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27984,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB77) | (~v164(constB77)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27985,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB77) | (~v164(constB77))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27984, 27983])).
% 39.52/25.96 tff(27986,plain,
% 39.52/25.96 (~v164(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27985, 17247, 27982])).
% 39.52/25.96 tff(27987,assumption,(v18(constB78)), introduced(assumption)).
% 39.52/25.96 tff(27988,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB78))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27989,plain,
% 39.52/25.96 ($false),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27988, 8, 27987])).
% 39.52/25.96 tff(27990,plain,(~v18(constB78)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.96 tff(27991,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27992,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27993,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27992, 27991])).
% 39.52/25.96 tff(27994,plain,
% 39.52/25.96 (v22(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27993, 21, 9413])).
% 39.52/25.96 tff(27995,plain,
% 39.52/25.96 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB78)) | (~v22(constB78)) | v18(constB78))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB78)) | (~v22(constB78)) | v18(constB78))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(27996,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB78)) | (~v22(constB78)) | v18(constB78))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(27997,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB78)) | (~v22(constB78)) | v18(constB78)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[27996, 27995])).
% 39.52/25.96 tff(27998,plain,
% 39.52/25.96 ((~v19(constB78)) | v18(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27997, 35, 27994])).
% 39.52/25.96 tff(27999,plain,
% 39.52/25.96 (~v19(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[27998, 27990])).
% 39.52/25.96 tff(28000,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28001,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28002,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28001, 28000])).
% 39.52/25.96 tff(28003,plain,
% 39.52/25.96 (v13(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28002, 50, 27999])).
% 39.52/25.96 tff(28004,plain,
% 39.52/25.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB77, constB78)) | (~v13(constB78)) | v9(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB77, constB78)) | (~v13(constB78)) | v9(constB77))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28005,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB77, constB78)) | (~v13(constB78)) | v9(constB77))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28006,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB77, constB78)) | (~v13(constB78)) | v9(constB77)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28005, 28004])).
% 39.52/25.96 tff(28007,plain,
% 39.52/25.96 ((~v13(constB78)) | v9(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28006, 67, 9291])).
% 39.52/25.96 tff(28008,plain,
% 39.52/25.96 (v9(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28007, 28003])).
% 39.52/25.96 tff(28009,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v141(constB77))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB77) | (~v9(constB77)) | v141(constB77))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28010,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v141(constB77))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28011,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB77) | (~v9(constB77)) | v141(constB77)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28010, 28009])).
% 39.52/25.96 tff(28012,plain,
% 39.52/25.96 ((~v9(constB77)) | v141(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28011, 85, 9167])).
% 39.52/25.96 tff(28013,plain,
% 39.52/25.96 (v141(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28012, 28008])).
% 39.52/25.96 tff(28014,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB77) | (~v141(constB77)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB77) | (~v141(constB77)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28015,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB77) | (~v141(constB77)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28016,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB77) | (~v141(constB77))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28015, 28014])).
% 39.52/25.96 tff(28017,plain,
% 39.52/25.96 (v140(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28016, 97, 28013])).
% 39.52/25.96 tff(28018,plain,
% 39.52/25.96 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB77)) | (~v163(constB77)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB77)) | (~v163(constB77)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28019,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB77)) | (~v163(constB77)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28020,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB77)) | (~v163(constB77))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28019, 28018])).
% 39.52/25.96 tff(28021,plain,
% 39.52/25.96 (~v163(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28020, 17298, 28017])).
% 39.52/25.96 tff(28022,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB77)) | v164(constB77) | v163(constB77))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB77)) | v164(constB77) | v163(constB77))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28023,plain,
% 39.52/25.96 ((v164(constB77) | v163(constB77) | (~v160(constB77))) <=> ((~v160(constB77)) | v164(constB77) | v163(constB77))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28024,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB77) | v163(constB77) | (~v160(constB77)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB77)) | v164(constB77) | v163(constB77)))),
% 39.52/25.96 inference(monotonicity,[status(thm)],[28023])).
% 39.52/25.96 tff(28025,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB77) | v163(constB77) | (~v160(constB77)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB77)) | v164(constB77) | v163(constB77))),
% 39.52/25.96 inference(transitivity,[status(thm)],[28024, 28022])).
% 39.52/25.96 tff(28026,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB77) | v163(constB77) | (~v160(constB77)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28027,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB77)) | v164(constB77) | v163(constB77)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28026, 28025])).
% 39.52/25.96 tff(28028,plain,
% 39.52/25.96 ((~v160(constB77)) | v164(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28027, 17312, 28021])).
% 39.52/25.96 tff(28029,plain,
% 39.52/25.96 (~v160(constB77)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28028, 27986])).
% 39.52/25.96 tff(28030,plain,
% 39.52/25.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB77, constB78)) | v160(constB77) | (~v162(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB77, constB78)) | v160(constB77) | (~v162(constB78)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28031,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB77, constB78)) | v160(constB77) | (~v162(constB78)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28032,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB77, constB78)) | v160(constB77) | (~v162(constB78))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28031, 28030])).
% 39.52/25.96 tff(28033,plain,
% 39.52/25.96 (v160(constB77) | (~v162(constB78))),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28032, 17330, 9291])).
% 39.52/25.96 tff(28034,plain,
% 39.52/25.96 (~v162(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28033, 28029])).
% 39.52/25.96 tff(28035,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB78) | (~v163(constB78)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB78) | (~v163(constB78)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28036,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB78) | (~v163(constB78)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28037,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB78) | (~v163(constB78))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28036, 28035])).
% 39.52/25.96 tff(28038,plain,
% 39.52/25.96 (~v163(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28037, 17342, 28034])).
% 39.52/25.96 tff(28039,plain,
% 39.52/25.96 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB78)) | (~v141(constB78)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB78)) | (~v141(constB78)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28040,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB78)) | (~v141(constB78)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28041,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB78)) | (~v141(constB78))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28040, 28039])).
% 39.52/25.96 tff(28042,plain,
% 39.52/25.96 (~v141(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28041, 17066, 9413])).
% 39.52/25.96 tff(28043,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB78) | (~v155(constB78)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB78) | (~v155(constB78)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28044,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB78) | (~v155(constB78)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28045,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB78) | (~v155(constB78))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28044, 28043])).
% 39.52/25.96 tff(28046,plain,
% 39.52/25.96 (~v155(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28045, 17212, 28042])).
% 39.52/25.96 tff(28047,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB78) | (~v164(constB78)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB78) | (~v164(constB78)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28048,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB78) | (~v164(constB78)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28049,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB78) | (~v164(constB78))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28048, 28047])).
% 39.52/25.96 tff(28050,plain,
% 39.52/25.96 (~v164(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28049, 17361, 28046])).
% 39.52/25.96 tff(28051,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB78)) | v164(constB78) | v163(constB78))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB78)) | v164(constB78) | v163(constB78))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28052,plain,
% 39.52/25.96 ((v164(constB78) | v163(constB78) | (~v160(constB78))) <=> ((~v160(constB78)) | v164(constB78) | v163(constB78))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28053,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB78) | v163(constB78) | (~v160(constB78)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB78)) | v164(constB78) | v163(constB78)))),
% 39.52/25.96 inference(monotonicity,[status(thm)],[28052])).
% 39.52/25.96 tff(28054,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB78) | v163(constB78) | (~v160(constB78)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB78)) | v164(constB78) | v163(constB78))),
% 39.52/25.96 inference(transitivity,[status(thm)],[28053, 28051])).
% 39.52/25.96 tff(28055,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB78) | v163(constB78) | (~v160(constB78)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28056,plain,
% 39.52/25.96 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB78)) | v164(constB78) | v163(constB78)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28055, 28054])).
% 39.52/25.96 tff(28057,plain,
% 39.52/25.96 ((~v160(constB78)) | v163(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28056, 17312, 28050])).
% 39.52/25.96 tff(28058,plain,
% 39.52/25.96 (~v160(constB78)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28057, 28038])).
% 39.52/25.96 tff(28059,plain,
% 39.52/25.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB78, constB79)) | v160(constB78) | (~v162(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB78, constB79)) | v160(constB78) | (~v162(constB79)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28060,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB78, constB79)) | v160(constB78) | (~v162(constB79)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28061,plain,
% 39.52/25.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB78, constB79)) | v160(constB78) | (~v162(constB79))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28060, 28059])).
% 39.52/25.96 tff(28062,plain,
% 39.52/25.96 (v160(constB78) | (~v162(constB79))),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28061, 17330, 9446])).
% 39.52/25.96 tff(28063,plain,
% 39.52/25.96 (~v162(constB79)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28062, 28058])).
% 39.52/25.96 tff(28064,plain,
% 39.52/25.96 ($false),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28063, 27824])).
% 39.52/25.96 tff(28065,plain,(~(constB79 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.96 tff(28066,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.96 tff(28067,plain,
% 39.52/25.96 (v162(constB139) <=> v162(sK0_VarCurr)),
% 39.52/25.96 inference(monotonicity,[status(thm)],[28066])).
% 39.52/25.96 tff(28068,plain,
% 39.52/25.96 (v162(sK0_VarCurr) <=> v162(constB139)),
% 39.52/25.96 inference(symmetry,[status(thm)],[28067])).
% 39.52/25.96 tff(28069,plain,
% 39.52/25.96 (v162(constB139)),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[17398, 28068])).
% 39.52/25.96 tff(28070,plain,
% 39.52/25.96 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v145(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB133, bitIndex2)) | (~v145(constB133)))),
% 39.52/25.96 inference(rewrite,[status(thm)],[])).
% 39.52/25.96 tff(28071,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v145(constB133)))),
% 39.52/25.96 inference(quant_inst,[status(thm)],[])).
% 39.52/25.96 tff(28072,plain,
% 39.52/25.96 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB133, bitIndex2)) | (~v145(constB133))),
% 39.52/25.96 inference(modus_ponens,[status(thm)],[28071, 28070])).
% 39.52/25.96 tff(28073,plain,
% 39.52/25.96 (~v145(constB133)),
% 39.52/25.96 inference(unit_resolution,[status(thm)],[28072, 5709, 15325])).
% 39.52/25.96 tff(28074,plain,
% 39.52/25.96 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB133) | (~v144(constB133)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB133) | (~v144(constB133)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28075,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB133) | (~v144(constB133)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28076,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB133) | (~v144(constB133))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28075, 28074])).
% 39.52/25.97 tff(28077,plain,
% 39.52/25.97 (~v144(constB133)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28076, 17003, 28073])).
% 39.52/25.97 tff(28078,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB133) | (~v142(constB133)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28079,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB133) | (~v142(constB133)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28080,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB133) | (~v142(constB133))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28079, 28078])).
% 39.52/25.97 tff(28081,plain,
% 39.52/25.97 (~v142(constB133)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28080, 17014, 28077])).
% 39.52/25.97 tff(28082,plain,
% 39.52/25.97 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB133)) | (~v140(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB133)) | (~v140(constB133)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28083,plain,
% 39.52/25.97 (((~v140(constB133)) | (~v138(constB133))) <=> ((~v138(constB133)) | (~v140(constB133)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28084,plain,
% 39.52/25.97 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB133)) | (~v138(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB133)) | (~v140(constB133))))),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28083])).
% 39.52/25.97 tff(28085,plain,
% 39.52/25.97 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB133)) | (~v138(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB133)) | (~v140(constB133)))),
% 39.52/25.97 inference(transitivity,[status(thm)],[28084, 28082])).
% 39.52/25.97 tff(28086,plain,
% 39.52/25.97 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB133)) | (~v138(constB133)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28087,plain,
% 39.52/25.97 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB133)) | (~v140(constB133))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28086, 28085])).
% 39.52/25.97 tff(28088,plain,
% 39.52/25.97 (~v138(constB133)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28087, 108, 26101])).
% 39.52/25.97 tff(28089,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB133) | v142(constB133) | (~v135(constB133)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB133) | v142(constB133) | (~v135(constB133)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28090,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB133) | v142(constB133) | (~v135(constB133)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28091,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB133) | v142(constB133) | (~v135(constB133))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28090, 28089])).
% 39.52/25.97 tff(28092,plain,
% 39.52/25.97 (v142(constB133) | (~v135(constB133))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28091, 17028, 28088])).
% 39.52/25.97 tff(28093,plain,
% 39.52/25.97 (~v135(constB133)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28092, 28081])).
% 39.52/25.97 tff(28094,plain,
% 39.52/25.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28095,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28096,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28095, 28094])).
% 39.52/25.97 tff(28097,plain,
% 39.52/25.97 (v135(constB133) | (~v137(constB134))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28096, 17043, 15432])).
% 39.52/25.97 tff(28098,plain,
% 39.52/25.97 (~v137(constB134)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28097, 28093])).
% 39.52/25.97 tff(28099,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB134) | (~v138(constB134)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB134) | (~v138(constB134)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28100,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB134) | (~v138(constB134)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28101,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB134) | (~v138(constB134))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28100, 28099])).
% 39.52/25.97 tff(28102,plain,
% 39.52/25.97 (~v138(constB134)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28101, 17055, 28098])).
% 39.52/25.97 tff(28103,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB134) | (~v144(constB134)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB134) | (~v144(constB134)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28104,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB134) | (~v144(constB134)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28105,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB134) | (~v144(constB134))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28104, 28103])).
% 39.52/25.97 tff(28106,plain,
% 39.52/25.97 (~v144(constB134)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28105, 17077, 26123])).
% 39.52/25.97 tff(28107,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB134) | (~v142(constB134)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB134) | (~v142(constB134)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28108,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB134) | (~v142(constB134)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28109,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB134) | (~v142(constB134))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28108, 28107])).
% 39.52/25.97 tff(28110,plain,
% 39.52/25.97 (~v142(constB134)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28109, 17014, 28106])).
% 39.52/25.97 tff(28111,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB134) | v142(constB134) | (~v135(constB134)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB134) | v142(constB134) | (~v135(constB134)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28112,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB134) | v142(constB134) | (~v135(constB134)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28113,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB134) | v142(constB134) | (~v135(constB134))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28112, 28111])).
% 39.52/25.97 tff(28114,plain,
% 39.52/25.97 (v138(constB134) | (~v135(constB134))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28113, 17028, 28110])).
% 39.52/25.97 tff(28115,plain,
% 39.52/25.97 (~v135(constB134)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28114, 28102])).
% 39.52/25.97 tff(28116,plain,
% 39.52/25.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28117,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28118,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28117, 28116])).
% 39.52/25.97 tff(28119,plain,
% 39.52/25.97 (v135(constB134) | (~v137(constB135))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28118, 17043, 15571])).
% 39.52/25.97 tff(28120,plain,
% 39.52/25.97 (~v137(constB135)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28119, 28115])).
% 39.52/25.97 tff(28121,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB135) | (~v154(constB135)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB135) | (~v154(constB135)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28122,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB135) | (~v154(constB135)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28123,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB135) | (~v154(constB135))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28122, 28121])).
% 39.52/25.97 tff(28124,plain,
% 39.52/25.97 (~v154(constB135)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28123, 17105, 28120])).
% 39.52/25.97 tff(28125,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB135) | (~v153(constB135)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB135) | (~v153(constB135)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28126,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB135) | (~v153(constB135)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28127,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB135) | (~v153(constB135))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28126, 28125])).
% 39.52/25.97 tff(28128,plain,
% 39.52/25.97 (~v153(constB135)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28127, 17197, 26141])).
% 39.52/25.97 tff(28129,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB135) | v154(constB135) | (~v150(constB135)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB135) | v154(constB135) | (~v150(constB135)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28130,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB135) | v154(constB135) | (~v150(constB135)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28131,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB135) | v154(constB135) | (~v150(constB135))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28130, 28129])).
% 39.52/25.97 tff(28132,plain,
% 39.52/25.97 (v154(constB135) | (~v150(constB135))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28131, 17170, 28128])).
% 39.52/25.97 tff(28133,plain,
% 39.52/25.97 (~v150(constB135)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28132, 28124])).
% 39.52/25.97 tff(28134,plain,
% 39.52/25.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28135,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28136,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28135, 28134])).
% 39.52/25.97 tff(28137,plain,
% 39.52/25.97 (v150(constB135) | (~v152(constB136))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28136, 17185, 15703])).
% 39.52/25.97 tff(28138,plain,
% 39.52/25.97 (~v152(constB136)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28137, 28133])).
% 39.52/25.97 tff(28139,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB136) | (~v153(constB136)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB136) | (~v153(constB136)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28140,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB136) | (~v153(constB136)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28141,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB136) | (~v153(constB136))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28140, 28139])).
% 39.52/25.97 tff(28142,plain,
% 39.52/25.97 (~v153(constB136)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28141, 17197, 28138])).
% 39.52/25.97 tff(28143,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB136) | (~v154(constB136)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB136) | (~v154(constB136)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28144,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB136) | (~v154(constB136)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28145,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB136) | (~v154(constB136))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28144, 28143])).
% 39.52/25.97 tff(28146,plain,
% 39.52/25.97 (~v154(constB136)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28145, 17223, 26339])).
% 39.52/25.97 tff(28147,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB136) | v154(constB136) | (~v150(constB136)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB136) | v154(constB136) | (~v150(constB136)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28148,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB136) | v154(constB136) | (~v150(constB136)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28149,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB136) | v154(constB136) | (~v150(constB136))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28148, 28147])).
% 39.52/25.97 tff(28150,plain,
% 39.52/25.97 (v153(constB136) | (~v150(constB136))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28149, 17170, 28146])).
% 39.52/25.97 tff(28151,plain,
% 39.52/25.97 (~v150(constB136)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28150, 28142])).
% 39.52/25.97 tff(28152,plain,
% 39.52/25.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28153,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28154,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28153, 28152])).
% 39.52/25.97 tff(28155,plain,
% 39.52/25.97 (v150(constB136) | (~v152(constB137))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28154, 17185, 15796])).
% 39.52/25.97 tff(28156,plain,
% 39.52/25.97 (~v152(constB137)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28155, 28151])).
% 39.52/25.97 tff(28157,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB137) | (~v164(constB137)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB137) | (~v164(constB137)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28158,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB137) | (~v164(constB137)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28159,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB137) | (~v164(constB137))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28158, 28157])).
% 39.52/25.97 tff(28160,plain,
% 39.52/25.97 (~v164(constB137)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28159, 17247, 28156])).
% 39.52/25.97 tff(28161,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB137) | (~v163(constB137)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB137) | (~v163(constB137)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28162,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB137) | (~v163(constB137)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28163,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB137) | (~v163(constB137))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28162, 28161])).
% 39.52/25.97 tff(28164,plain,
% 39.52/25.97 (~v163(constB137)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28163, 17342, 26356])).
% 39.52/25.97 tff(28165,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB137)) | v163(constB137) | v164(constB137))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB137)) | v163(constB137) | v164(constB137))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28166,plain,
% 39.52/25.97 ((v164(constB137) | v163(constB137) | (~v160(constB137))) <=> ((~v160(constB137)) | v163(constB137) | v164(constB137))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28167,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB137) | v163(constB137) | (~v160(constB137)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB137)) | v163(constB137) | v164(constB137)))),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28166])).
% 39.52/25.97 tff(28168,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB137) | v163(constB137) | (~v160(constB137)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB137)) | v163(constB137) | v164(constB137))),
% 39.52/25.97 inference(transitivity,[status(thm)],[28167, 28165])).
% 39.52/25.97 tff(28169,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB137) | v163(constB137) | (~v160(constB137)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28170,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB137)) | v163(constB137) | v164(constB137)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28169, 28168])).
% 39.52/25.97 tff(28171,plain,
% 39.52/25.97 ((~v160(constB137)) | v164(constB137)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28170, 17312, 28164])).
% 39.52/25.97 tff(28172,plain,
% 39.52/25.97 (~v160(constB137)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28171, 28160])).
% 39.52/25.97 tff(28173,plain,
% 39.52/25.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28174,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28175,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28174, 28173])).
% 39.52/25.97 tff(28176,plain,
% 39.52/25.97 (v160(constB137) | (~v162(constB138))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28175, 17330, 15933])).
% 39.52/25.97 tff(28177,plain,
% 39.52/25.97 (~v162(constB138)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28176, 28172])).
% 39.52/25.97 tff(28178,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB138) | (~v163(constB138)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB138) | (~v163(constB138)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28179,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB138) | (~v163(constB138)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28180,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB138) | (~v163(constB138))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28179, 28178])).
% 39.52/25.97 tff(28181,plain,
% 39.52/25.97 (~v163(constB138)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28180, 17342, 28177])).
% 39.52/25.97 tff(28182,plain,
% 39.52/25.97 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB138)) | (~v141(constB138)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB138)) | (~v141(constB138)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28183,plain,
% 39.52/25.97 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB138)) | (~v141(constB138)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28184,plain,
% 39.52/25.97 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB138)) | (~v141(constB138))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 39.52/25.97 tff(28185,plain,
% 39.52/25.97 (~v141(constB138)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28184, 17066, 15953])).
% 39.52/25.97 tff(28186,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB138) | (~v155(constB138)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB138) | (~v155(constB138)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28187,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB138) | (~v155(constB138)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28188,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB138) | (~v155(constB138))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28187, 28186])).
% 39.52/25.97 tff(28189,plain,
% 39.52/25.97 (~v155(constB138)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28188, 17212, 28185])).
% 39.52/25.97 tff(28190,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB138) | (~v164(constB138)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB138) | (~v164(constB138)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28191,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB138) | (~v164(constB138)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28192,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB138) | (~v164(constB138))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28191, 28190])).
% 39.52/25.97 tff(28193,plain,
% 39.52/25.97 (~v164(constB138)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28192, 17361, 28189])).
% 39.52/25.97 tff(28194,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB138)) | v164(constB138) | v163(constB138))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB138)) | v164(constB138) | v163(constB138))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28195,plain,
% 39.52/25.97 ((v164(constB138) | v163(constB138) | (~v160(constB138))) <=> ((~v160(constB138)) | v164(constB138) | v163(constB138))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28196,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB138) | v163(constB138) | (~v160(constB138)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB138)) | v164(constB138) | v163(constB138)))),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28195])).
% 39.52/25.97 tff(28197,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB138) | v163(constB138) | (~v160(constB138)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB138)) | v164(constB138) | v163(constB138))),
% 39.52/25.97 inference(transitivity,[status(thm)],[28196, 28194])).
% 39.52/25.97 tff(28198,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB138) | v163(constB138) | (~v160(constB138)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28199,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB138)) | v164(constB138) | v163(constB138)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 39.52/25.97 tff(28200,plain,
% 39.52/25.97 ((~v160(constB138)) | v163(constB138)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28199, 17312, 28193])).
% 39.52/25.97 tff(28201,plain,
% 39.52/25.97 (~v160(constB138)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28200, 28181])).
% 39.52/25.97 tff(28202,plain,
% 39.52/25.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28203,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28204,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28203, 28202])).
% 39.52/25.97 tff(28205,plain,
% 39.52/25.97 (v160(constB138) | (~v162(constB139))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28204, 17330, 15998])).
% 39.52/25.97 tff(28206,plain,
% 39.52/25.97 (~v162(constB139)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28205, 28201])).
% 39.52/25.97 tff(28207,plain,
% 39.52/25.97 ($false),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28206, 28069])).
% 39.52/25.97 tff(28208,plain,(~(constB139 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.97 tff(28209,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.97 tff(28210,plain,
% 39.52/25.97 (v162(constB135) <=> v162(sK0_VarCurr)),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28209])).
% 39.52/25.97 tff(28211,plain,
% 39.52/25.97 (v162(sK0_VarCurr) <=> v162(constB135)),
% 39.52/25.97 inference(symmetry,[status(thm)],[28210])).
% 39.52/25.97 tff(28212,plain,
% 39.52/25.97 (v162(constB135)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[17398, 28211])).
% 39.52/25.97 tff(28213,plain,
% 39.52/25.97 ($false),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[26310, 28212])).
% 39.52/25.97 tff(28214,plain,(~(constB135 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.97 tff(28215,assumption,(constB28 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.97 tff(28216,plain,
% 39.52/25.97 (v1(constB28) <=> v1(sK0_VarCurr)),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28215])).
% 39.52/25.97 tff(28217,plain,
% 39.52/25.97 (v1(sK0_VarCurr) <=> v1(constB28)),
% 39.52/25.97 inference(symmetry,[status(thm)],[28216])).
% 39.52/25.97 tff(28218,plain,
% 39.52/25.97 ((~v1(sK0_VarCurr)) <=> (~v1(constB28))),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28217])).
% 39.52/25.97 tff(28219,plain,
% 39.52/25.97 (~v1(constB28)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[23858, 28218])).
% 39.52/25.97 tff(28220,plain,
% 39.52/25.97 ($false),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[3671, 28219])).
% 39.52/25.97 tff(28221,plain,(~(constB28 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.97 tff(28222,assumption,(constB1 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.97 tff(28223,plain,
% 39.52/25.97 (v162(constB1) <=> v162(sK0_VarCurr)),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28222])).
% 39.52/25.97 tff(28224,plain,
% 39.52/25.97 (v162(sK0_VarCurr) <=> v162(constB1)),
% 39.52/25.97 inference(symmetry,[status(thm)],[28223])).
% 39.52/25.97 tff(28225,plain,
% 39.52/25.97 (v162(constB1)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[17398, 28224])).
% 39.52/25.97 tff(28226,plain,
% 39.52/25.97 ((~v162(constB0)) <=> (~v162(constB0))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28227,axiom,(~v162(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 39.52/25.97 tff(28228,plain,
% 39.52/25.97 (~v162(constB0)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28227, 28226])).
% 39.52/25.97 tff(28229,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB0) | (~v163(constB0)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB0) | (~v163(constB0)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28230,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB0) | (~v163(constB0)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28231,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB0) | (~v163(constB0))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28230, 28229])).
% 39.52/25.97 tff(28232,plain,
% 39.52/25.97 (~v163(constB0)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28231, 28228, 17342])).
% 39.52/25.97 tff(28233,plain,
% 39.52/25.97 ((~v152(constB0)) <=> (~v152(constB0))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28234,axiom,(~v152(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1_1')).
% 39.52/25.97 tff(28235,plain,
% 39.52/25.97 (~v152(constB0)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28234, 28233])).
% 39.52/25.97 tff(28236,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB0) | (~v164(constB0)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB0) | (~v164(constB0)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28237,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB0) | (~v164(constB0)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28238,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB0) | (~v164(constB0))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28237, 28236])).
% 39.52/25.97 tff(28239,plain,
% 39.52/25.97 (~v164(constB0)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28238, 28235, 17247])).
% 39.52/25.97 tff(28240,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB0)) | v164(constB0) | v163(constB0))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB0)) | v164(constB0) | v163(constB0))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28241,plain,
% 39.52/25.97 ((v164(constB0) | v163(constB0) | (~v160(constB0))) <=> ((~v160(constB0)) | v164(constB0) | v163(constB0))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28242,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB0) | v163(constB0) | (~v160(constB0)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB0)) | v164(constB0) | v163(constB0)))),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28241])).
% 39.52/25.97 tff(28243,plain,
% 39.52/25.97 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB0) | v163(constB0) | (~v160(constB0)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB0)) | v164(constB0) | v163(constB0))),
% 39.52/25.97 inference(transitivity,[status(thm)],[28242, 28240])).
% 39.52/25.97 tff(28244,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB0) | v163(constB0) | (~v160(constB0)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28245,plain,
% 39.52/25.97 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB0)) | v164(constB0) | v163(constB0)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28244, 28243])).
% 39.52/25.97 tff(28246,plain,
% 39.52/25.97 (~v160(constB0)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28245, 17312, 28239, 28232])).
% 39.52/25.97 tff(28247,plain,
% 39.52/25.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))),
% 39.52/25.97 inference(rewrite,[status(thm)],[])).
% 39.52/25.97 tff(28248,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))),
% 39.52/25.97 inference(quant_inst,[status(thm)],[])).
% 39.52/25.97 tff(28249,plain,
% 39.52/25.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1))),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[28248, 28247])).
% 39.52/25.97 tff(28250,plain,
% 39.52/25.97 (v160(constB0) | (~v162(constB1))),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28249, 17330, 165])).
% 39.52/25.97 tff(28251,plain,
% 39.52/25.97 (~v162(constB1)),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28250, 28246])).
% 39.52/25.97 tff(28252,plain,
% 39.52/25.97 ($false),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[28251, 28225])).
% 39.52/25.97 tff(28253,plain,(~(constB1 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.97 tff(28254,assumption,(constB40 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.97 tff(28255,plain,
% 39.52/25.97 (v1(constB40) <=> v1(sK0_VarCurr)),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28254])).
% 39.52/25.97 tff(28256,plain,
% 39.52/25.97 (v1(sK0_VarCurr) <=> v1(constB40)),
% 39.52/25.97 inference(symmetry,[status(thm)],[28255])).
% 39.52/25.97 tff(28257,plain,
% 39.52/25.97 ((~v1(sK0_VarCurr)) <=> (~v1(constB40))),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28256])).
% 39.52/25.97 tff(28258,plain,
% 39.52/25.97 (~v1(constB40)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[23858, 28257])).
% 39.52/25.97 tff(28259,plain,
% 39.52/25.97 ($false),
% 39.52/25.97 inference(unit_resolution,[status(thm)],[4949, 28258])).
% 39.52/25.97 tff(28260,plain,(~(constB40 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.97 tff(28261,assumption,(constB122 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.97 tff(28262,plain,
% 39.52/25.97 (v1(constB122) <=> v1(sK0_VarCurr)),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28261])).
% 39.52/25.97 tff(28263,plain,
% 39.52/25.97 (v1(sK0_VarCurr) <=> v1(constB122)),
% 39.52/25.97 inference(symmetry,[status(thm)],[28262])).
% 39.52/25.97 tff(28264,plain,
% 39.52/25.97 ((~v1(sK0_VarCurr)) <=> (~v1(constB122))),
% 39.52/25.97 inference(monotonicity,[status(thm)],[28263])).
% 39.52/25.97 tff(28265,plain,
% 39.52/25.97 (~v1(constB122)),
% 39.52/25.97 inference(modus_ponens,[status(thm)],[23858, 28264])).
% 39.52/25.98 tff(28266,plain,
% 39.52/25.98 ($false),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[14294, 28265])).
% 39.52/25.98 tff(28267,plain,(~(constB122 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.98 tff(28268,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.98 tff(28269,plain,
% 39.52/25.98 (v162(constB169) <=> v162(sK0_VarCurr)),
% 39.52/25.98 inference(monotonicity,[status(thm)],[28268])).
% 39.52/25.98 tff(28270,plain,
% 39.52/25.98 (v162(sK0_VarCurr) <=> v162(constB169)),
% 39.52/25.98 inference(symmetry,[status(thm)],[28269])).
% 39.52/25.98 tff(28271,plain,
% 39.52/25.98 (v162(constB169)),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[17398, 28270])).
% 39.52/25.98 tff(28272,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB163, bitIndex2)) | (~v145(constB163)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB163, bitIndex2)) | (~v145(constB163)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28273,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB163, bitIndex2)) | (~v145(constB163)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28274,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB163, bitIndex2)) | (~v145(constB163))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28273, 28272])).
% 39.52/25.98 tff(28275,plain,
% 39.52/25.98 (~v145(constB163)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28274, 5709, 19080])).
% 39.52/25.98 tff(28276,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB163) | (~v144(constB163)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB163) | (~v144(constB163)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28277,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB163) | (~v144(constB163)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28278,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB163) | (~v144(constB163))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28277, 28276])).
% 39.52/25.98 tff(28279,plain,
% 39.52/25.98 (~v144(constB163)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28278, 17003, 28275])).
% 39.52/25.98 tff(28280,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB163) | (~v142(constB163)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB163) | (~v142(constB163)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28281,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB163) | (~v142(constB163)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28282,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB163) | (~v142(constB163))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28281, 28280])).
% 39.52/25.98 tff(28283,plain,
% 39.52/25.98 (~v142(constB163)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28282, 17014, 28279])).
% 39.52/25.98 tff(28284,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB163)) | (~v140(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB163)) | (~v140(constB163)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28285,plain,
% 39.52/25.98 (((~v140(constB163)) | (~v138(constB163))) <=> ((~v138(constB163)) | (~v140(constB163)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28286,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB163)) | (~v138(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB163)) | (~v140(constB163))))),
% 39.52/25.98 inference(monotonicity,[status(thm)],[28285])).
% 39.52/25.98 tff(28287,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB163)) | (~v138(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB163)) | (~v140(constB163)))),
% 39.52/25.98 inference(transitivity,[status(thm)],[28286, 28284])).
% 39.52/25.98 tff(28288,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB163)) | (~v138(constB163)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28289,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB163)) | (~v140(constB163))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28288, 28287])).
% 39.52/25.98 tff(28290,plain,
% 39.52/25.98 (~v138(constB163)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28289, 108, 24580])).
% 39.52/25.98 tff(28291,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB163) | v142(constB163) | (~v135(constB163)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB163) | v142(constB163) | (~v135(constB163)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28292,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB163) | v142(constB163) | (~v135(constB163)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28293,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB163) | v142(constB163) | (~v135(constB163))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28292, 28291])).
% 39.52/25.98 tff(28294,plain,
% 39.52/25.98 (v142(constB163) | (~v135(constB163))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28293, 17028, 28290])).
% 39.52/25.98 tff(28295,plain,
% 39.52/25.98 (~v135(constB163)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28294, 28283])).
% 39.52/25.98 tff(28296,plain,
% 39.52/25.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28297,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28298,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28297, 28296])).
% 39.52/25.98 tff(28299,plain,
% 39.52/25.98 (v135(constB163) | (~v137(constB164))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28298, 17043, 19181])).
% 39.52/25.98 tff(28300,plain,
% 39.52/25.98 (~v137(constB164)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28299, 28295])).
% 39.52/25.98 tff(28301,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB164) | (~v138(constB164)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB164) | (~v138(constB164)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28302,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB164) | (~v138(constB164)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28303,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB164) | (~v138(constB164))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28302, 28301])).
% 39.52/25.98 tff(28304,plain,
% 39.52/25.98 (~v138(constB164)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28303, 17055, 28300])).
% 39.52/25.98 tff(28305,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB164) | (~v144(constB164)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB164) | (~v144(constB164)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28306,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB164) | (~v144(constB164)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28307,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB164) | (~v144(constB164))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28306, 28305])).
% 39.52/25.98 tff(28308,plain,
% 39.52/25.98 (~v144(constB164)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28307, 17077, 24605])).
% 39.52/25.98 tff(28309,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB164) | (~v142(constB164)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB164) | (~v142(constB164)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28310,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB164) | (~v142(constB164)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28311,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB164) | (~v142(constB164))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28310, 28309])).
% 39.52/25.98 tff(28312,plain,
% 39.52/25.98 (~v142(constB164)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28311, 17014, 28308])).
% 39.52/25.98 tff(28313,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB164) | v142(constB164) | (~v135(constB164)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB164) | v142(constB164) | (~v135(constB164)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28314,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB164) | v142(constB164) | (~v135(constB164)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28315,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB164) | v142(constB164) | (~v135(constB164))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28314, 28313])).
% 39.52/25.98 tff(28316,plain,
% 39.52/25.98 (v138(constB164) | (~v135(constB164))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28315, 17028, 28312])).
% 39.52/25.98 tff(28317,plain,
% 39.52/25.98 (~v135(constB164)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28316, 28304])).
% 39.52/25.98 tff(28318,plain,
% 39.52/25.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28319,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28320,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28319, 28318])).
% 39.52/25.98 tff(28321,plain,
% 39.52/25.98 (v135(constB164) | (~v137(constB165))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28320, 17043, 19243])).
% 39.52/25.98 tff(28322,plain,
% 39.52/25.98 (~v137(constB165)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28321, 28317])).
% 39.52/25.98 tff(28323,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB165) | (~v154(constB165)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB165) | (~v154(constB165)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28324,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB165) | (~v154(constB165)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28325,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB165) | (~v154(constB165))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28324, 28323])).
% 39.52/25.98 tff(28326,plain,
% 39.52/25.98 (~v154(constB165)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28325, 17105, 28322])).
% 39.52/25.98 tff(28327,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB165)) | (~v153(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB165)) | (~v153(constB165)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28328,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB165)) | (~v153(constB165)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28329,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB165)) | (~v153(constB165))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28328, 28327])).
% 39.52/25.98 tff(28330,plain,
% 39.52/25.98 (~v153(constB165)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28329, 17156, 26829])).
% 39.52/25.98 tff(28331,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB165) | v154(constB165) | (~v150(constB165)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB165) | v154(constB165) | (~v150(constB165)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28332,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB165) | v154(constB165) | (~v150(constB165)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28333,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB165) | v154(constB165) | (~v150(constB165))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28332, 28331])).
% 39.52/25.98 tff(28334,plain,
% 39.52/25.98 (v154(constB165) | (~v150(constB165))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28333, 17170, 28330])).
% 39.52/25.98 tff(28335,plain,
% 39.52/25.98 (~v150(constB165)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28334, 28326])).
% 39.52/25.98 tff(28336,plain,
% 39.52/25.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28337,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28338,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28337, 28336])).
% 39.52/25.98 tff(28339,plain,
% 39.52/25.98 (v150(constB165) | (~v152(constB166))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28338, 17185, 19385])).
% 39.52/25.98 tff(28340,plain,
% 39.52/25.98 (~v152(constB166)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28339, 28335])).
% 39.52/25.98 tff(28341,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB166) | (~v153(constB166)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB166) | (~v153(constB166)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28342,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB166) | (~v153(constB166)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28343,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB166) | (~v153(constB166))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28342, 28341])).
% 39.52/25.98 tff(28344,plain,
% 39.52/25.98 (~v153(constB166)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28343, 17197, 28340])).
% 39.52/25.98 tff(28345,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB166) | (~v154(constB166)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB166) | (~v154(constB166)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28346,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB166) | (~v154(constB166)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28347,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB166) | (~v154(constB166))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28346, 28345])).
% 39.52/25.98 tff(28348,plain,
% 39.52/25.98 (~v154(constB166)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28347, 17223, 26858])).
% 39.52/25.98 tff(28349,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB166) | v154(constB166) | (~v150(constB166)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB166) | v154(constB166) | (~v150(constB166)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28350,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB166) | v154(constB166) | (~v150(constB166)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28351,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB166) | v154(constB166) | (~v150(constB166))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28350, 28349])).
% 39.52/25.98 tff(28352,plain,
% 39.52/25.98 (v153(constB166) | (~v150(constB166))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28351, 17170, 28348])).
% 39.52/25.98 tff(28353,plain,
% 39.52/25.98 (~v150(constB166)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28352, 28344])).
% 39.52/25.98 tff(28354,plain,
% 39.52/25.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28355,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28356,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28355, 28354])).
% 39.52/25.98 tff(28357,plain,
% 39.52/25.98 (v150(constB166) | (~v152(constB167))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28356, 17185, 19445])).
% 39.52/25.98 tff(28358,plain,
% 39.52/25.98 (~v152(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28357, 28353])).
% 39.52/25.98 tff(28359,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB167) | (~v164(constB167)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB167) | (~v164(constB167)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28360,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB167) | (~v164(constB167)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28361,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB167) | (~v164(constB167))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28360, 28359])).
% 39.52/25.98 tff(28362,plain,
% 39.52/25.98 (~v164(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28361, 17247, 28358])).
% 39.52/25.98 tff(28363,assumption,(v18(constB168)), introduced(assumption)).
% 39.52/25.98 tff(28364,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB168))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28365,plain,
% 39.52/25.98 ($false),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28364, 8, 28363])).
% 39.52/25.98 tff(28366,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.98 tff(28367,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28368,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28369,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28368, 28367])).
% 39.52/25.98 tff(28370,plain,
% 39.52/25.98 (v22(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28369, 21, 19602])).
% 39.52/25.98 tff(28371,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28372,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28373,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168)),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28372, 28371])).
% 39.52/25.98 tff(28374,plain,
% 39.52/25.98 ((~v19(constB168)) | v18(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28373, 35, 28370])).
% 39.52/25.98 tff(28375,plain,
% 39.52/25.98 (~v19(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28374, 28366])).
% 39.52/25.98 tff(28376,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28377,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28378,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28377, 28376])).
% 39.52/25.98 tff(28379,plain,
% 39.52/25.98 (v13(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28378, 50, 28375])).
% 39.52/25.98 tff(28380,plain,
% 39.52/25.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28381,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28382,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167)),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28381, 28380])).
% 39.52/25.98 tff(28383,plain,
% 39.52/25.98 ((~v13(constB168)) | v9(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28382, 67, 19576])).
% 39.52/25.98 tff(28384,plain,
% 39.52/25.98 (v9(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28383, 28379])).
% 39.52/25.98 tff(28385,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v141(constB167))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB167) | (~v9(constB167)) | v141(constB167))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28386,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v141(constB167))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28387,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB167) | (~v9(constB167)) | v141(constB167)),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28386, 28385])).
% 39.52/25.98 tff(28388,plain,
% 39.52/25.98 ((~v9(constB167)) | v141(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28387, 85, 19442])).
% 39.52/25.98 tff(28389,plain,
% 39.52/25.98 (v141(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28388, 28384])).
% 39.52/25.98 tff(28390,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB167) | (~v141(constB167)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB167) | (~v141(constB167)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28391,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB167) | (~v141(constB167)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28392,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB167) | (~v141(constB167))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28391, 28390])).
% 39.52/25.98 tff(28393,plain,
% 39.52/25.98 (v140(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28392, 97, 28389])).
% 39.52/25.98 tff(28394,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB167)) | (~v163(constB167)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB167)) | (~v163(constB167)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28395,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB167)) | (~v163(constB167)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28396,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB167)) | (~v163(constB167))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28395, 28394])).
% 39.52/25.98 tff(28397,plain,
% 39.52/25.98 (~v163(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28396, 17298, 28393])).
% 39.52/25.98 tff(28398,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB167)) | v163(constB167) | v164(constB167))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB167)) | v163(constB167) | v164(constB167))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28399,plain,
% 39.52/25.98 ((v164(constB167) | v163(constB167) | (~v160(constB167))) <=> ((~v160(constB167)) | v163(constB167) | v164(constB167))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28400,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB167) | v163(constB167) | (~v160(constB167)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB167)) | v163(constB167) | v164(constB167)))),
% 39.52/25.98 inference(monotonicity,[status(thm)],[28399])).
% 39.52/25.98 tff(28401,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB167) | v163(constB167) | (~v160(constB167)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB167)) | v163(constB167) | v164(constB167))),
% 39.52/25.98 inference(transitivity,[status(thm)],[28400, 28398])).
% 39.52/25.98 tff(28402,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB167) | v163(constB167) | (~v160(constB167)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28403,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB167)) | v163(constB167) | v164(constB167)),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28402, 28401])).
% 39.52/25.98 tff(28404,plain,
% 39.52/25.98 ((~v160(constB167)) | v164(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28403, 17312, 28397])).
% 39.52/25.98 tff(28405,plain,
% 39.52/25.98 (~v160(constB167)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28404, 28362])).
% 39.52/25.98 tff(28406,plain,
% 39.52/25.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28407,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28408,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 39.52/25.98 tff(28409,plain,
% 39.52/25.98 (v160(constB167) | (~v162(constB168))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28408, 17330, 19576])).
% 39.52/25.98 tff(28410,plain,
% 39.52/25.98 (~v162(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28409, 28405])).
% 39.52/25.98 tff(28411,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB168) | (~v163(constB168)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB168) | (~v163(constB168)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28412,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB168) | (~v163(constB168)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28413,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB168) | (~v163(constB168))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 39.52/25.98 tff(28414,plain,
% 39.52/25.98 (~v163(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28413, 17342, 28410])).
% 39.52/25.98 tff(28415,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB168)) | (~v141(constB168)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB168)) | (~v141(constB168)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28416,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB168)) | (~v141(constB168)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28417,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB168)) | (~v141(constB168))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 39.52/25.98 tff(28418,plain,
% 39.52/25.98 (~v141(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28417, 17066, 19602])).
% 39.52/25.98 tff(28419,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB168) | (~v155(constB168)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB168) | (~v155(constB168)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28420,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB168) | (~v155(constB168)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28421,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB168) | (~v155(constB168))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28420, 28419])).
% 39.52/25.98 tff(28422,plain,
% 39.52/25.98 (~v155(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28421, 17212, 28418])).
% 39.52/25.98 tff(28423,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB168) | (~v164(constB168)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB168) | (~v164(constB168)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28424,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB168) | (~v164(constB168)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28425,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB168) | (~v164(constB168))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 39.52/25.98 tff(28426,plain,
% 39.52/25.98 (~v164(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28425, 17361, 28422])).
% 39.52/25.98 tff(28427,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB168)) | v164(constB168) | v163(constB168))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB168)) | v164(constB168) | v163(constB168))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28428,plain,
% 39.52/25.98 ((v164(constB168) | v163(constB168) | (~v160(constB168))) <=> ((~v160(constB168)) | v164(constB168) | v163(constB168))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28429,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB168) | v163(constB168) | (~v160(constB168)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB168)) | v164(constB168) | v163(constB168)))),
% 39.52/25.98 inference(monotonicity,[status(thm)],[28428])).
% 39.52/25.98 tff(28430,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB168) | v163(constB168) | (~v160(constB168)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB168)) | v164(constB168) | v163(constB168))),
% 39.52/25.98 inference(transitivity,[status(thm)],[28429, 28427])).
% 39.52/25.98 tff(28431,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB168) | v163(constB168) | (~v160(constB168)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28432,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB168)) | v164(constB168) | v163(constB168)),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28431, 28430])).
% 39.52/25.98 tff(28433,plain,
% 39.52/25.98 ((~v160(constB168)) | v163(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28432, 17312, 28426])).
% 39.52/25.98 tff(28434,plain,
% 39.52/25.98 (~v160(constB168)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28433, 28414])).
% 39.52/25.98 tff(28435,plain,
% 39.52/25.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28436,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28437,plain,
% 39.52/25.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28436, 28435])).
% 39.52/25.98 tff(28438,plain,
% 39.52/25.98 (v160(constB168) | (~v162(constB169))),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28437, 17330, 19665])).
% 39.52/25.98 tff(28439,plain,
% 39.52/25.98 (~v162(constB169)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28438, 28434])).
% 39.52/25.98 tff(28440,plain,
% 39.52/25.98 ($false),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28439, 28271])).
% 39.52/25.98 tff(28441,plain,(~(constB169 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.98 tff(28442,assumption,(constB89 = sK0_VarCurr), introduced(assumption)).
% 39.52/25.98 tff(28443,plain,
% 39.52/25.98 (v162(constB89) <=> v162(sK0_VarCurr)),
% 39.52/25.98 inference(monotonicity,[status(thm)],[28442])).
% 39.52/25.98 tff(28444,plain,
% 39.52/25.98 (v162(sK0_VarCurr) <=> v162(constB89)),
% 39.52/25.98 inference(symmetry,[status(thm)],[28443])).
% 39.52/25.98 tff(28445,plain,
% 39.52/25.98 (v162(constB89)),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[17398, 28444])).
% 39.52/25.98 tff(28446,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v145(constB83)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28447,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v145(constB83)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28448,plain,
% 39.52/25.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v145(constB83))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 39.52/25.98 tff(28449,plain,
% 39.52/25.98 (~v145(constB83)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28448, 5709, 9928])).
% 39.52/25.98 tff(28450,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB83) | (~v144(constB83)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB83) | (~v144(constB83)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28451,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB83) | (~v144(constB83)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28452,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB83) | (~v144(constB83))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28451, 28450])).
% 39.52/25.98 tff(28453,plain,
% 39.52/25.98 (~v144(constB83)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28452, 17003, 28449])).
% 39.52/25.98 tff(28454,plain,
% 39.52/25.98 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB83) | (~v142(constB83)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB83) | (~v142(constB83)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.98 tff(28455,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB83) | (~v142(constB83)))),
% 39.52/25.98 inference(quant_inst,[status(thm)],[])).
% 39.52/25.98 tff(28456,plain,
% 39.52/25.98 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB83) | (~v142(constB83))),
% 39.52/25.98 inference(modus_ponens,[status(thm)],[28455, 28454])).
% 39.52/25.98 tff(28457,plain,
% 39.52/25.98 (~v142(constB83)),
% 39.52/25.98 inference(unit_resolution,[status(thm)],[28456, 17014, 28453])).
% 39.52/25.98 tff(28458,plain,
% 39.52/25.98 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB83)) | (~v140(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB83)) | (~v140(constB83)))),
% 39.52/25.98 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28459,plain,
% 39.52/25.99 (((~v140(constB83)) | (~v138(constB83))) <=> ((~v138(constB83)) | (~v140(constB83)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28460,plain,
% 39.52/25.99 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB83)) | (~v138(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB83)) | (~v140(constB83))))),
% 39.52/25.99 inference(monotonicity,[status(thm)],[28459])).
% 39.52/25.99 tff(28461,plain,
% 39.52/25.99 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB83)) | (~v138(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB83)) | (~v140(constB83)))),
% 39.52/25.99 inference(transitivity,[status(thm)],[28460, 28458])).
% 39.52/25.99 tff(28462,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB83)) | (~v138(constB83)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28463,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB83)) | (~v140(constB83))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28462, 28461])).
% 39.52/25.99 tff(28464,plain,
% 39.52/25.99 (~v138(constB83)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28463, 108, 27445])).
% 39.52/25.99 tff(28465,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB83) | v142(constB83) | (~v135(constB83)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB83) | v142(constB83) | (~v135(constB83)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28466,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB83) | v142(constB83) | (~v135(constB83)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28467,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB83) | v142(constB83) | (~v135(constB83))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28466, 28465])).
% 39.52/25.99 tff(28468,plain,
% 39.52/25.99 (v142(constB83) | (~v135(constB83))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28467, 17028, 28464])).
% 39.52/25.99 tff(28469,plain,
% 39.52/25.99 (~v135(constB83)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28468, 28457])).
% 39.52/25.99 tff(28470,plain,
% 39.52/25.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28471,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28472,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28471, 28470])).
% 39.52/25.99 tff(28473,plain,
% 39.52/25.99 (v135(constB83) | (~v137(constB84))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28472, 17043, 10028])).
% 39.52/25.99 tff(28474,plain,
% 39.52/25.99 (~v137(constB84)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28473, 28469])).
% 39.52/25.99 tff(28475,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB84) | (~v138(constB84)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB84) | (~v138(constB84)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28476,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB84) | (~v138(constB84)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28477,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB84) | (~v138(constB84))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28476, 28475])).
% 39.52/25.99 tff(28478,plain,
% 39.52/25.99 (~v138(constB84)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28477, 17055, 28474])).
% 39.52/25.99 tff(28479,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB84) | (~v144(constB84)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB84) | (~v144(constB84)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28480,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB84) | (~v144(constB84)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28481,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB84) | (~v144(constB84))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28480, 28479])).
% 39.52/25.99 tff(28482,plain,
% 39.52/25.99 (~v144(constB84)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28481, 17077, 27470])).
% 39.52/25.99 tff(28483,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB84) | (~v142(constB84)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB84) | (~v142(constB84)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28484,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB84) | (~v142(constB84)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28485,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB84) | (~v142(constB84))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28484, 28483])).
% 39.52/25.99 tff(28486,plain,
% 39.52/25.99 (~v142(constB84)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28485, 17014, 28482])).
% 39.52/25.99 tff(28487,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB84) | v142(constB84) | (~v135(constB84)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB84) | v142(constB84) | (~v135(constB84)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28488,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB84) | v142(constB84) | (~v135(constB84)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28489,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB84) | v142(constB84) | (~v135(constB84))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28488, 28487])).
% 39.52/25.99 tff(28490,plain,
% 39.52/25.99 (v138(constB84) | (~v135(constB84))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28489, 17028, 28486])).
% 39.52/25.99 tff(28491,plain,
% 39.52/25.99 (~v135(constB84)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28490, 28478])).
% 39.52/25.99 tff(28492,plain,
% 39.52/25.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28493,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28494,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 39.52/25.99 tff(28495,plain,
% 39.52/25.99 (v135(constB84) | (~v137(constB85))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28494, 17043, 10090])).
% 39.52/25.99 tff(28496,plain,
% 39.52/25.99 (~v137(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28495, 28491])).
% 39.52/25.99 tff(28497,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB85) | (~v154(constB85)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB85) | (~v154(constB85)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28498,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB85) | (~v154(constB85)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28499,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB85) | (~v154(constB85))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28498, 28497])).
% 39.52/25.99 tff(28500,plain,
% 39.52/25.99 (~v154(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28499, 17105, 28496])).
% 39.52/25.99 tff(28501,assumption,(v18(constB86)), introduced(assumption)).
% 39.52/25.99 tff(28502,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB86))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28503,plain,
% 39.52/25.99 ($false),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28502, 8, 28501])).
% 39.52/25.99 tff(28504,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.99 tff(28505,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28506,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28507,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28506, 28505])).
% 39.52/25.99 tff(28508,plain,
% 39.52/25.99 (v22(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28507, 21, 10220])).
% 39.52/25.99 tff(28509,plain,
% 39.52/25.99 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB86)) | (~v22(constB86)) | v18(constB86))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB86)) | (~v22(constB86)) | v18(constB86))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28510,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB86)) | (~v22(constB86)) | v18(constB86))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28511,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB86)) | (~v22(constB86)) | v18(constB86)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28510, 28509])).
% 39.52/25.99 tff(28512,plain,
% 39.52/25.99 ((~v19(constB86)) | v18(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28511, 35, 28508])).
% 39.52/25.99 tff(28513,plain,
% 39.52/25.99 (~v19(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28512, 28504])).
% 39.52/25.99 tff(28514,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28515,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28516,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28515, 28514])).
% 39.52/25.99 tff(28517,plain,
% 39.52/25.99 (v13(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28516, 50, 28513])).
% 39.52/25.99 tff(28518,plain,
% 39.52/25.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28519,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28520,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28519, 28518])).
% 39.52/25.99 tff(28521,plain,
% 39.52/25.99 ((~v13(constB86)) | v9(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28520, 67, 10200])).
% 39.52/25.99 tff(28522,plain,
% 39.52/25.99 (v9(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28521, 28517])).
% 39.52/25.99 tff(28523,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v141(constB85))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB85) | (~v9(constB85)) | v141(constB85))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28524,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v141(constB85))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28525,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB85) | (~v9(constB85)) | v141(constB85)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28524, 28523])).
% 39.52/25.99 tff(28526,plain,
% 39.52/25.99 ((~v9(constB85)) | v141(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28525, 85, 10087])).
% 39.52/25.99 tff(28527,plain,
% 39.52/25.99 (v141(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28526, 28522])).
% 39.52/25.99 tff(28528,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB85) | (~v141(constB85)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB85) | (~v141(constB85)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28529,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB85) | (~v141(constB85)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28530,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB85) | (~v141(constB85))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28529, 28528])).
% 39.52/25.99 tff(28531,plain,
% 39.52/25.99 (v140(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28530, 97, 28527])).
% 39.52/25.99 tff(28532,plain,
% 39.52/25.99 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB85)) | (~v153(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB85)) | (~v153(constB85)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28533,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB85)) | (~v153(constB85)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28534,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB85)) | (~v153(constB85))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28533, 28532])).
% 39.52/25.99 tff(28535,plain,
% 39.52/25.99 (~v153(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28534, 17156, 28531])).
% 39.52/25.99 tff(28536,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB85) | v154(constB85) | (~v150(constB85)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB85) | v154(constB85) | (~v150(constB85)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28537,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB85) | v154(constB85) | (~v150(constB85)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28538,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB85) | v154(constB85) | (~v150(constB85))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28537, 28536])).
% 39.52/25.99 tff(28539,plain,
% 39.52/25.99 (v154(constB85) | (~v150(constB85))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28538, 17170, 28535])).
% 39.52/25.99 tff(28540,plain,
% 39.52/25.99 (~v150(constB85)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28539, 28500])).
% 39.52/25.99 tff(28541,plain,
% 39.52/25.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28542,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28543,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 39.52/25.99 tff(28544,plain,
% 39.52/25.99 (v150(constB85) | (~v152(constB86))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28543, 17185, 10200])).
% 39.52/25.99 tff(28545,plain,
% 39.52/25.99 (~v152(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28544, 28540])).
% 39.52/25.99 tff(28546,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB86) | (~v153(constB86)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB86) | (~v153(constB86)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28547,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB86) | (~v153(constB86)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28548,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB86) | (~v153(constB86))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28547, 28546])).
% 39.52/25.99 tff(28549,plain,
% 39.52/25.99 (~v153(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28548, 17197, 28545])).
% 39.52/25.99 tff(28550,plain,
% 39.52/25.99 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB86)) | (~v141(constB86)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB86)) | (~v141(constB86)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28551,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB86)) | (~v141(constB86)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28552,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB86)) | (~v141(constB86))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28551, 28550])).
% 39.52/25.99 tff(28553,plain,
% 39.52/25.99 (~v141(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28552, 17066, 10220])).
% 39.52/25.99 tff(28554,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB86) | (~v155(constB86)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB86) | (~v155(constB86)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28555,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB86) | (~v155(constB86)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28556,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB86) | (~v155(constB86))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28555, 28554])).
% 39.52/25.99 tff(28557,plain,
% 39.52/25.99 (~v155(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28556, 17212, 28553])).
% 39.52/25.99 tff(28558,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB86) | (~v154(constB86)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB86) | (~v154(constB86)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28559,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB86) | (~v154(constB86)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28560,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB86) | (~v154(constB86))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28559, 28558])).
% 39.52/25.99 tff(28561,plain,
% 39.52/25.99 (~v154(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28560, 17223, 28557])).
% 39.52/25.99 tff(28562,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB86) | v154(constB86) | (~v150(constB86)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB86) | v154(constB86) | (~v150(constB86)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28563,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB86) | v154(constB86) | (~v150(constB86)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28564,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB86) | v154(constB86) | (~v150(constB86))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28563, 28562])).
% 39.52/25.99 tff(28565,plain,
% 39.52/25.99 (v153(constB86) | (~v150(constB86))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28564, 17170, 28561])).
% 39.52/25.99 tff(28566,plain,
% 39.52/25.99 (~v150(constB86)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28565, 28549])).
% 39.52/25.99 tff(28567,plain,
% 39.52/25.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28568,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28569,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 39.52/25.99 tff(28570,plain,
% 39.52/25.99 (v150(constB86) | (~v152(constB87))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28569, 17185, 10292])).
% 39.52/25.99 tff(28571,plain,
% 39.52/25.99 (~v152(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28570, 28566])).
% 39.52/25.99 tff(28572,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB87) | (~v164(constB87)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB87) | (~v164(constB87)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28573,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB87) | (~v164(constB87)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28574,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB87) | (~v164(constB87))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28573, 28572])).
% 39.52/25.99 tff(28575,plain,
% 39.52/25.99 (~v164(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28574, 17247, 28571])).
% 39.52/25.99 tff(28576,assumption,(v18(constB88)), introduced(assumption)).
% 39.52/25.99 tff(28577,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB88))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28578,plain,
% 39.52/25.99 ($false),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28577, 8, 28576])).
% 39.52/25.99 tff(28579,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 39.52/25.99 tff(28580,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28581,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28582,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28581, 28580])).
% 39.52/25.99 tff(28583,plain,
% 39.52/25.99 (v22(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28582, 21, 10451])).
% 39.52/25.99 tff(28584,plain,
% 39.52/25.99 (((~![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))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28585,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28586,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28585, 28584])).
% 39.52/25.99 tff(28587,plain,
% 39.52/25.99 ((~v19(constB88)) | v18(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28586, 35, 28583])).
% 39.52/25.99 tff(28588,plain,
% 39.52/25.99 (~v19(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28587, 28579])).
% 39.52/25.99 tff(28589,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28590,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28591,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28590, 28589])).
% 39.52/25.99 tff(28592,plain,
% 39.52/25.99 (v13(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28591, 50, 28588])).
% 39.52/25.99 tff(28593,plain,
% 39.52/25.99 (((~![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))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28594,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28595,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28594, 28593])).
% 39.52/25.99 tff(28596,plain,
% 39.52/25.99 ((~v13(constB88)) | v9(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28595, 67, 10431])).
% 39.52/25.99 tff(28597,plain,
% 39.52/25.99 (v9(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28596, 28592])).
% 39.52/25.99 tff(28598,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v141(constB87))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB87) | (~v9(constB87)) | v141(constB87))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28599,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v141(constB87))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28600,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB87) | (~v9(constB87)) | v141(constB87)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28599, 28598])).
% 39.52/25.99 tff(28601,plain,
% 39.52/25.99 ((~v9(constB87)) | v141(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28600, 85, 10289])).
% 39.52/25.99 tff(28602,plain,
% 39.52/25.99 (v141(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28601, 28597])).
% 39.52/25.99 tff(28603,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB87) | (~v141(constB87)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB87) | (~v141(constB87)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28604,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB87) | (~v141(constB87)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28605,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB87) | (~v141(constB87))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28604, 28603])).
% 39.52/25.99 tff(28606,plain,
% 39.52/25.99 (v140(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28605, 97, 28602])).
% 39.52/25.99 tff(28607,plain,
% 39.52/25.99 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB87)) | (~v163(constB87)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB87)) | (~v163(constB87)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28608,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB87)) | (~v163(constB87)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28609,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB87)) | (~v163(constB87))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28608, 28607])).
% 39.52/25.99 tff(28610,plain,
% 39.52/25.99 (~v163(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28609, 17298, 28606])).
% 39.52/25.99 tff(28611,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB87)) | v164(constB87) | v163(constB87))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB87)) | v164(constB87) | v163(constB87))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28612,plain,
% 39.52/25.99 ((v164(constB87) | v163(constB87) | (~v160(constB87))) <=> ((~v160(constB87)) | v164(constB87) | v163(constB87))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28613,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB87) | v163(constB87) | (~v160(constB87)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB87)) | v164(constB87) | v163(constB87)))),
% 39.52/25.99 inference(monotonicity,[status(thm)],[28612])).
% 39.52/25.99 tff(28614,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB87) | v163(constB87) | (~v160(constB87)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB87)) | v164(constB87) | v163(constB87))),
% 39.52/25.99 inference(transitivity,[status(thm)],[28613, 28611])).
% 39.52/25.99 tff(28615,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB87) | v163(constB87) | (~v160(constB87)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28616,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB87)) | v164(constB87) | v163(constB87)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28615, 28614])).
% 39.52/25.99 tff(28617,plain,
% 39.52/25.99 ((~v160(constB87)) | v164(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28616, 17312, 28610])).
% 39.52/25.99 tff(28618,plain,
% 39.52/25.99 (~v160(constB87)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28617, 28575])).
% 39.52/25.99 tff(28619,plain,
% 39.52/25.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28620,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28621,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28620, 28619])).
% 39.52/25.99 tff(28622,plain,
% 39.52/25.99 (v160(constB87) | (~v162(constB88))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28621, 17330, 10431])).
% 39.52/25.99 tff(28623,plain,
% 39.52/25.99 (~v162(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28622, 28618])).
% 39.52/25.99 tff(28624,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB88) | (~v163(constB88)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB88) | (~v163(constB88)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28625,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB88) | (~v163(constB88)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28626,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB88) | (~v163(constB88))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 39.52/25.99 tff(28627,plain,
% 39.52/25.99 (~v163(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28626, 17342, 28623])).
% 39.52/25.99 tff(28628,plain,
% 39.52/25.99 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB88)) | (~v141(constB88)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB88)) | (~v141(constB88)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28629,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB88)) | (~v141(constB88)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28630,plain,
% 39.52/25.99 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB88)) | (~v141(constB88))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28629, 28628])).
% 39.52/25.99 tff(28631,plain,
% 39.52/25.99 (~v141(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28630, 17066, 10451])).
% 39.52/25.99 tff(28632,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB88) | (~v155(constB88)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB88) | (~v155(constB88)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28633,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB88) | (~v155(constB88)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28634,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB88) | (~v155(constB88))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28633, 28632])).
% 39.52/25.99 tff(28635,plain,
% 39.52/25.99 (~v155(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28634, 17212, 28631])).
% 39.52/25.99 tff(28636,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB88) | (~v164(constB88)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB88) | (~v164(constB88)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28637,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB88) | (~v164(constB88)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28638,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB88) | (~v164(constB88))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28637, 28636])).
% 39.52/25.99 tff(28639,plain,
% 39.52/25.99 (~v164(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28638, 17361, 28635])).
% 39.52/25.99 tff(28640,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB88)) | v164(constB88) | v163(constB88))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB88)) | v164(constB88) | v163(constB88))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28641,plain,
% 39.52/25.99 ((v164(constB88) | v163(constB88) | (~v160(constB88))) <=> ((~v160(constB88)) | v164(constB88) | v163(constB88))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28642,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB88) | v163(constB88) | (~v160(constB88)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB88)) | v164(constB88) | v163(constB88)))),
% 39.52/25.99 inference(monotonicity,[status(thm)],[28641])).
% 39.52/25.99 tff(28643,plain,
% 39.52/25.99 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB88) | v163(constB88) | (~v160(constB88)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB88)) | v164(constB88) | v163(constB88))),
% 39.52/25.99 inference(transitivity,[status(thm)],[28642, 28640])).
% 39.52/25.99 tff(28644,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB88) | v163(constB88) | (~v160(constB88)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28645,plain,
% 39.52/25.99 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB88)) | v164(constB88) | v163(constB88)),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28644, 28643])).
% 39.52/25.99 tff(28646,plain,
% 39.52/25.99 ((~v160(constB88)) | v163(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28645, 17312, 28639])).
% 39.52/25.99 tff(28647,plain,
% 39.52/25.99 (~v160(constB88)),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28646, 28627])).
% 39.52/25.99 tff(28648,plain,
% 39.52/25.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))),
% 39.52/25.99 inference(rewrite,[status(thm)],[])).
% 39.52/25.99 tff(28649,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))),
% 39.52/25.99 inference(quant_inst,[status(thm)],[])).
% 39.52/25.99 tff(28650,plain,
% 39.52/25.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89))),
% 39.52/25.99 inference(modus_ponens,[status(thm)],[28649, 28648])).
% 39.52/25.99 tff(28651,plain,
% 39.52/25.99 (v160(constB88) | (~v162(constB89))),
% 39.52/25.99 inference(unit_resolution,[status(thm)],[28650, 17330, 10496])).
% 39.52/26.00 tff(28652,plain,
% 39.52/26.00 (~v162(constB89)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28651, 28647])).
% 39.52/26.00 tff(28653,plain,
% 39.52/26.00 ($false),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28652, 28445])).
% 39.52/26.00 tff(28654,plain,(~(constB89 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.00 tff(28655,assumption,(constB77 = sK0_VarCurr), introduced(assumption)).
% 39.52/26.00 tff(28656,plain,
% 39.52/26.00 (v162(constB77) <=> v162(sK0_VarCurr)),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28655])).
% 39.52/26.00 tff(28657,plain,
% 39.52/26.00 (v162(sK0_VarCurr) <=> v162(constB77)),
% 39.52/26.00 inference(symmetry,[status(thm)],[28656])).
% 39.52/26.00 tff(28658,plain,
% 39.52/26.00 (v162(constB77)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[17398, 28657])).
% 39.52/26.00 tff(28659,plain,
% 39.52/26.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB71, bitIndex1)) | (~v145(constB71)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28660,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v145(constB71)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28661,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB71, bitIndex1)) | (~v145(constB71))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28660, 28659])).
% 39.52/26.00 tff(28662,plain,
% 39.52/26.00 (~v145(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28661, 1116, 8640])).
% 39.52/26.00 tff(28663,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB71) | (~v144(constB71)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB71) | (~v144(constB71)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28664,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB71) | (~v144(constB71)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28665,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB71) | (~v144(constB71))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28664, 28663])).
% 39.52/26.00 tff(28666,plain,
% 39.52/26.00 (~v144(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28665, 17003, 28662])).
% 39.52/26.00 tff(28667,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB71) | (~v142(constB71)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB71) | (~v142(constB71)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28668,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB71) | (~v142(constB71)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28669,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB71) | (~v142(constB71))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28668, 28667])).
% 39.52/26.00 tff(28670,plain,
% 39.52/26.00 (~v142(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28669, 17014, 28666])).
% 39.52/26.00 tff(28671,assumption,(v18(constB72)), introduced(assumption)).
% 39.52/26.00 tff(28672,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB72))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28673,plain,
% 39.52/26.00 ($false),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28672, 8, 28671])).
% 39.52/26.00 tff(28674,plain,(~v18(constB72)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.00 tff(28675,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28676,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28677,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28676, 28675])).
% 39.52/26.00 tff(28678,plain,
% 39.52/26.00 (v22(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28677, 21, 8700])).
% 39.52/26.00 tff(28679,plain,
% 39.52/26.00 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB72)) | (~v22(constB72)) | v18(constB72))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB72)) | (~v22(constB72)) | v18(constB72))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28680,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB72)) | (~v22(constB72)) | v18(constB72))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28681,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB72)) | (~v22(constB72)) | v18(constB72)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28680, 28679])).
% 39.52/26.00 tff(28682,plain,
% 39.52/26.00 ((~v19(constB72)) | v18(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28681, 35, 28678])).
% 39.52/26.00 tff(28683,plain,
% 39.52/26.00 (~v19(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28682, 28674])).
% 39.52/26.00 tff(28684,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28685,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28686,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28685, 28684])).
% 39.52/26.00 tff(28687,plain,
% 39.52/26.00 (v13(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28686, 50, 28683])).
% 39.52/26.00 tff(28688,plain,
% 39.52/26.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28689,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28690,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28689, 28688])).
% 39.52/26.00 tff(28691,plain,
% 39.52/26.00 ((~v13(constB72)) | v9(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28690, 67, 8680])).
% 39.52/26.00 tff(28692,plain,
% 39.52/26.00 (v9(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28691, 28687])).
% 39.52/26.00 tff(28693,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v141(constB71))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB71) | (~v9(constB71)) | v141(constB71))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28694,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v141(constB71))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28695,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB71) | (~v9(constB71)) | v141(constB71)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28694, 28693])).
% 39.52/26.00 tff(28696,plain,
% 39.52/26.00 ((~v9(constB71)) | v141(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28695, 85, 8462])).
% 39.52/26.00 tff(28697,plain,
% 39.52/26.00 (v141(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28696, 28692])).
% 39.52/26.00 tff(28698,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB71) | (~v141(constB71)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB71) | (~v141(constB71)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28699,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB71) | (~v141(constB71)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28700,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB71) | (~v141(constB71))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28699, 28698])).
% 39.52/26.00 tff(28701,plain,
% 39.52/26.00 (v140(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28700, 97, 28697])).
% 39.52/26.00 tff(28702,plain,
% 39.52/26.00 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB71)) | (~v140(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB71)) | (~v140(constB71)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28703,plain,
% 39.52/26.00 (((~v140(constB71)) | (~v138(constB71))) <=> ((~v138(constB71)) | (~v140(constB71)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28704,plain,
% 39.52/26.00 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB71)) | (~v138(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB71)) | (~v140(constB71))))),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28703])).
% 39.52/26.00 tff(28705,plain,
% 39.52/26.00 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB71)) | (~v138(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB71)) | (~v140(constB71)))),
% 39.52/26.00 inference(transitivity,[status(thm)],[28704, 28702])).
% 39.52/26.00 tff(28706,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB71)) | (~v138(constB71)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28707,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB71)) | (~v140(constB71))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28706, 28705])).
% 39.52/26.00 tff(28708,plain,
% 39.52/26.00 (~v138(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28707, 108, 28701])).
% 39.52/26.00 tff(28709,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB71) | v142(constB71) | (~v135(constB71)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB71) | v142(constB71) | (~v135(constB71)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28710,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB71) | v142(constB71) | (~v135(constB71)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28711,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB71) | v142(constB71) | (~v135(constB71))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28710, 28709])).
% 39.52/26.00 tff(28712,plain,
% 39.52/26.00 (v142(constB71) | (~v135(constB71))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28711, 17028, 28708])).
% 39.52/26.00 tff(28713,plain,
% 39.52/26.00 (~v135(constB71)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28712, 28670])).
% 39.52/26.00 tff(28714,plain,
% 39.52/26.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28715,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28716,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28715, 28714])).
% 39.52/26.00 tff(28717,plain,
% 39.52/26.00 (v135(constB71) | (~v137(constB72))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28716, 17043, 8680])).
% 39.52/26.00 tff(28718,plain,
% 39.52/26.00 (~v137(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28717, 28713])).
% 39.52/26.00 tff(28719,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB72) | (~v138(constB72)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB72) | (~v138(constB72)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28720,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB72) | (~v138(constB72)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28721,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB72) | (~v138(constB72))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28720, 28719])).
% 39.52/26.00 tff(28722,plain,
% 39.52/26.00 (~v138(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28721, 17055, 28718])).
% 39.52/26.00 tff(28723,plain,
% 39.52/26.00 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB72)) | (~v141(constB72)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB72)) | (~v141(constB72)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28724,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB72)) | (~v141(constB72)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28725,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB72)) | (~v141(constB72))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28724, 28723])).
% 39.52/26.00 tff(28726,plain,
% 39.52/26.00 (~v141(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28725, 17066, 8700])).
% 39.52/26.00 tff(28727,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB72) | (~v144(constB72)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB72) | (~v144(constB72)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28728,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB72) | (~v144(constB72)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28729,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB72) | (~v144(constB72))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 39.52/26.00 tff(28730,plain,
% 39.52/26.00 (~v144(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28729, 17077, 28726])).
% 39.52/26.00 tff(28731,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB72) | (~v142(constB72)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB72) | (~v142(constB72)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28732,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB72) | (~v142(constB72)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28733,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB72) | (~v142(constB72))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28732, 28731])).
% 39.52/26.00 tff(28734,plain,
% 39.52/26.00 (~v142(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28733, 17014, 28730])).
% 39.52/26.00 tff(28735,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB72) | v142(constB72) | (~v135(constB72)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB72) | v142(constB72) | (~v135(constB72)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28736,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB72) | v142(constB72) | (~v135(constB72)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28737,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB72) | v142(constB72) | (~v135(constB72))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28736, 28735])).
% 39.52/26.00 tff(28738,plain,
% 39.52/26.00 (v138(constB72) | (~v135(constB72))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28737, 17028, 28734])).
% 39.52/26.00 tff(28739,plain,
% 39.52/26.00 (~v135(constB72)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28738, 28722])).
% 39.52/26.00 tff(28740,plain,
% 39.52/26.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28741,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28742,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28741, 28740])).
% 39.52/26.00 tff(28743,plain,
% 39.52/26.00 (v135(constB72) | (~v137(constB73))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28742, 17043, 8742])).
% 39.52/26.00 tff(28744,plain,
% 39.52/26.00 (~v137(constB73)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28743, 28739])).
% 39.52/26.00 tff(28745,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB73) | (~v154(constB73)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB73) | (~v154(constB73)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28746,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB73) | (~v154(constB73)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28747,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB73) | (~v154(constB73))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28746, 28745])).
% 39.52/26.00 tff(28748,plain,
% 39.52/26.00 (~v154(constB73)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28747, 17105, 28744])).
% 39.52/26.00 tff(28749,plain,
% 39.52/26.00 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB73)) | (~v153(constB73)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB73)) | (~v153(constB73)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28750,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB73)) | (~v153(constB73)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28751,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB73)) | (~v153(constB73))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28750, 28749])).
% 39.52/26.00 tff(28752,plain,
% 39.52/26.00 (~v153(constB73)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28751, 17156, 27867])).
% 39.52/26.00 tff(28753,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB73) | v154(constB73) | (~v150(constB73)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB73) | v154(constB73) | (~v150(constB73)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28754,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB73) | v154(constB73) | (~v150(constB73)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28755,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB73) | v154(constB73) | (~v150(constB73))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 39.52/26.00 tff(28756,plain,
% 39.52/26.00 (v154(constB73) | (~v150(constB73))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28755, 17170, 28752])).
% 39.52/26.00 tff(28757,plain,
% 39.52/26.00 (~v150(constB73)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28756, 28748])).
% 39.52/26.00 tff(28758,plain,
% 39.52/26.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28759,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28760,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28759, 28758])).
% 39.52/26.00 tff(28761,plain,
% 39.52/26.00 (v150(constB73) | (~v152(constB74))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28760, 17185, 8866])).
% 39.52/26.00 tff(28762,plain,
% 39.52/26.00 (~v152(constB74)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28761, 28757])).
% 39.52/26.00 tff(28763,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB74) | (~v153(constB74)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB74) | (~v153(constB74)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28764,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB74) | (~v153(constB74)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28765,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB74) | (~v153(constB74))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28764, 28763])).
% 39.52/26.00 tff(28766,plain,
% 39.52/26.00 (~v153(constB74)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28765, 17197, 28762])).
% 39.52/26.00 tff(28767,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB74) | (~v155(constB74)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB74) | (~v155(constB74)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28768,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB74) | (~v155(constB74)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28769,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB74) | (~v155(constB74))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 39.52/26.00 tff(28770,plain,
% 39.52/26.00 (~v155(constB74)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28769, 17212, 27889])).
% 39.52/26.00 tff(28771,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB74) | (~v154(constB74)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB74) | (~v154(constB74)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28772,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB74) | (~v154(constB74)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28773,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB74) | (~v154(constB74))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28772, 28771])).
% 39.52/26.00 tff(28774,plain,
% 39.52/26.00 (~v154(constB74)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28773, 17223, 28770])).
% 39.52/26.00 tff(28775,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB74) | v154(constB74) | (~v150(constB74)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB74) | v154(constB74) | (~v150(constB74)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28776,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB74) | v154(constB74) | (~v150(constB74)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28777,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB74) | v154(constB74) | (~v150(constB74))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28776, 28775])).
% 39.52/26.00 tff(28778,plain,
% 39.52/26.00 (v153(constB74) | (~v150(constB74))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28777, 17170, 28774])).
% 39.52/26.00 tff(28779,plain,
% 39.52/26.00 (~v150(constB74)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28778, 28766])).
% 39.52/26.00 tff(28780,plain,
% 39.52/26.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28781,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28782,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28781, 28780])).
% 39.52/26.00 tff(28783,plain,
% 39.52/26.00 (v150(constB74) | (~v152(constB75))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28782, 17185, 8928])).
% 39.52/26.00 tff(28784,plain,
% 39.52/26.00 (~v152(constB75)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28783, 28779])).
% 39.52/26.00 tff(28785,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB75) | (~v164(constB75)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB75) | (~v164(constB75)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28786,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB75) | (~v164(constB75)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28787,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB75) | (~v164(constB75))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28786, 28785])).
% 39.52/26.00 tff(28788,plain,
% 39.52/26.00 (~v164(constB75)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28787, 17247, 28784])).
% 39.52/26.00 tff(28789,plain,
% 39.52/26.00 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB75)) | (~v163(constB75)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB75)) | (~v163(constB75)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28790,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB75)) | (~v163(constB75)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28791,plain,
% 39.52/26.00 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB75)) | (~v163(constB75))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28790, 28789])).
% 39.52/26.00 tff(28792,plain,
% 39.52/26.00 (~v163(constB75)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28791, 17298, 27942])).
% 39.52/26.00 tff(28793,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB75)) | v164(constB75) | v163(constB75))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB75)) | v164(constB75) | v163(constB75))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28794,plain,
% 39.52/26.00 ((v164(constB75) | v163(constB75) | (~v160(constB75))) <=> ((~v160(constB75)) | v164(constB75) | v163(constB75))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28795,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB75) | v163(constB75) | (~v160(constB75)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB75)) | v164(constB75) | v163(constB75)))),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28794])).
% 39.52/26.00 tff(28796,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB75) | v163(constB75) | (~v160(constB75)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB75)) | v164(constB75) | v163(constB75))),
% 39.52/26.00 inference(transitivity,[status(thm)],[28795, 28793])).
% 39.52/26.00 tff(28797,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB75) | v163(constB75) | (~v160(constB75)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28798,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB75)) | v164(constB75) | v163(constB75)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28797, 28796])).
% 39.52/26.00 tff(28799,plain,
% 39.52/26.00 ((~v160(constB75)) | v164(constB75)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28798, 17312, 28792])).
% 39.52/26.00 tff(28800,plain,
% 39.52/26.00 (~v160(constB75)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28799, 28788])).
% 39.52/26.00 tff(28801,plain,
% 39.52/26.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28802,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28803,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28802, 28801])).
% 39.52/26.00 tff(28804,plain,
% 39.52/26.00 (v160(constB75) | (~v162(constB76))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28803, 17330, 9077])).
% 39.52/26.00 tff(28805,plain,
% 39.52/26.00 (~v162(constB76)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28804, 28800])).
% 39.52/26.00 tff(28806,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB76) | (~v163(constB76)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB76) | (~v163(constB76)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28807,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB76) | (~v163(constB76)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28808,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB76) | (~v163(constB76))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28807, 28806])).
% 39.52/26.00 tff(28809,plain,
% 39.52/26.00 (~v163(constB76)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28808, 17342, 28805])).
% 39.52/26.00 tff(28810,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB76) | (~v164(constB76)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB76) | (~v164(constB76)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28811,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB76) | (~v164(constB76)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28812,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB76) | (~v164(constB76))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28811, 28810])).
% 39.52/26.00 tff(28813,plain,
% 39.52/26.00 (~v164(constB76)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28812, 17361, 27968])).
% 39.52/26.00 tff(28814,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB76)) | v164(constB76) | v163(constB76))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB76)) | v164(constB76) | v163(constB76))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28815,plain,
% 39.52/26.00 ((v164(constB76) | v163(constB76) | (~v160(constB76))) <=> ((~v160(constB76)) | v164(constB76) | v163(constB76))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28816,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB76) | v163(constB76) | (~v160(constB76)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB76)) | v164(constB76) | v163(constB76)))),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28815])).
% 39.52/26.00 tff(28817,plain,
% 39.52/26.00 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB76) | v163(constB76) | (~v160(constB76)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB76)) | v164(constB76) | v163(constB76))),
% 39.52/26.00 inference(transitivity,[status(thm)],[28816, 28814])).
% 39.52/26.00 tff(28818,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB76) | v163(constB76) | (~v160(constB76)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28819,plain,
% 39.52/26.00 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB76)) | v164(constB76) | v163(constB76)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28818, 28817])).
% 39.52/26.00 tff(28820,plain,
% 39.52/26.00 ((~v160(constB76)) | v163(constB76)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28819, 17312, 28813])).
% 39.52/26.00 tff(28821,plain,
% 39.52/26.00 (~v160(constB76)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28820, 28809])).
% 39.52/26.00 tff(28822,plain,
% 39.52/26.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))),
% 39.52/26.00 inference(rewrite,[status(thm)],[])).
% 39.52/26.00 tff(28823,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))),
% 39.52/26.00 inference(quant_inst,[status(thm)],[])).
% 39.52/26.00 tff(28824,plain,
% 39.52/26.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77))),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[28823, 28822])).
% 39.52/26.00 tff(28825,plain,
% 39.52/26.00 (v160(constB76) | (~v162(constB77))),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28824, 17330, 9170])).
% 39.52/26.00 tff(28826,plain,
% 39.52/26.00 (~v162(constB77)),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28825, 28821])).
% 39.52/26.00 tff(28827,plain,
% 39.52/26.00 ($false),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[28826, 28658])).
% 39.52/26.00 tff(28828,plain,(~(constB77 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.00 tff(28829,assumption,(constB102 = sK0_VarCurr), introduced(assumption)).
% 39.52/26.00 tff(28830,plain,
% 39.52/26.00 (v1(constB102) <=> v1(sK0_VarCurr)),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28829])).
% 39.52/26.00 tff(28831,plain,
% 39.52/26.00 (v1(sK0_VarCurr) <=> v1(constB102)),
% 39.52/26.00 inference(symmetry,[status(thm)],[28830])).
% 39.52/26.00 tff(28832,plain,
% 39.52/26.00 ((~v1(sK0_VarCurr)) <=> (~v1(constB102))),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28831])).
% 39.52/26.00 tff(28833,plain,
% 39.52/26.00 (~v1(constB102)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[23858, 28832])).
% 39.52/26.00 tff(28834,plain,
% 39.52/26.00 ($false),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[12309, 28833])).
% 39.52/26.00 tff(28835,plain,(~(constB102 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.00 tff(28836,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 39.52/26.00 tff(28837,plain,
% 39.52/26.00 (v1(constB190) <=> v1(sK0_VarCurr)),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28836])).
% 39.52/26.00 tff(28838,plain,
% 39.52/26.00 (v1(sK0_VarCurr) <=> v1(constB190)),
% 39.52/26.00 inference(symmetry,[status(thm)],[28837])).
% 39.52/26.00 tff(28839,plain,
% 39.52/26.00 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28838])).
% 39.52/26.00 tff(28840,plain,
% 39.52/26.00 (~v1(constB190)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[23858, 28839])).
% 39.52/26.00 tff(28841,plain,
% 39.52/26.00 ($false),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[22400, 28840])).
% 39.52/26.00 tff(28842,plain,(~(constB190 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.00 tff(28843,assumption,(constB186 = sK0_VarCurr), introduced(assumption)).
% 39.52/26.00 tff(28844,plain,
% 39.52/26.00 (v1(constB186) <=> v1(sK0_VarCurr)),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28843])).
% 39.52/26.00 tff(28845,plain,
% 39.52/26.00 (v1(sK0_VarCurr) <=> v1(constB186)),
% 39.52/26.00 inference(symmetry,[status(thm)],[28844])).
% 39.52/26.00 tff(28846,plain,
% 39.52/26.00 ((~v1(sK0_VarCurr)) <=> (~v1(constB186))),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28845])).
% 39.52/26.00 tff(28847,plain,
% 39.52/26.00 (~v1(constB186)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[23858, 28846])).
% 39.52/26.00 tff(28848,plain,
% 39.52/26.00 ($false),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[21948, 28847])).
% 39.52/26.00 tff(28849,plain,(~(constB186 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.00 tff(28850,assumption,(constB26 = sK0_VarCurr), introduced(assumption)).
% 39.52/26.00 tff(28851,plain,
% 39.52/26.00 (v1(constB26) <=> v1(sK0_VarCurr)),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28850])).
% 39.52/26.00 tff(28852,plain,
% 39.52/26.00 (v1(sK0_VarCurr) <=> v1(constB26)),
% 39.52/26.00 inference(symmetry,[status(thm)],[28851])).
% 39.52/26.00 tff(28853,plain,
% 39.52/26.00 ((~v1(sK0_VarCurr)) <=> (~v1(constB26))),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28852])).
% 39.52/26.00 tff(28854,plain,
% 39.52/26.00 (~v1(constB26)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[23858, 28853])).
% 39.52/26.00 tff(28855,plain,
% 39.52/26.00 ($false),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[3468, 28854])).
% 39.52/26.00 tff(28856,plain,(~(constB26 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.00 tff(28857,assumption,(constB52 = sK0_VarCurr), introduced(assumption)).
% 39.52/26.00 tff(28858,plain,
% 39.52/26.00 (v1(constB52) <=> v1(sK0_VarCurr)),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28857])).
% 39.52/26.00 tff(28859,plain,
% 39.52/26.00 (v1(sK0_VarCurr) <=> v1(constB52)),
% 39.52/26.00 inference(symmetry,[status(thm)],[28858])).
% 39.52/26.00 tff(28860,plain,
% 39.52/26.00 ((~v1(sK0_VarCurr)) <=> (~v1(constB52))),
% 39.52/26.00 inference(monotonicity,[status(thm)],[28859])).
% 39.52/26.00 tff(28861,plain,
% 39.52/26.00 (~v1(constB52)),
% 39.52/26.00 inference(modus_ponens,[status(thm)],[23858, 28860])).
% 39.52/26.00 tff(28862,plain,
% 39.52/26.00 ($false),
% 39.52/26.00 inference(unit_resolution,[status(thm)],[6295, 28861])).
% 39.52/26.01 tff(28863,plain,(~(constB52 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.01 tff(28864,assumption,(constB109 = sK0_VarCurr), introduced(assumption)).
% 39.52/26.01 tff(28865,plain,
% 39.52/26.01 (v162(constB109) <=> v162(sK0_VarCurr)),
% 39.52/26.01 inference(monotonicity,[status(thm)],[28864])).
% 39.52/26.01 tff(28866,plain,
% 39.52/26.01 (v162(sK0_VarCurr) <=> v162(constB109)),
% 39.52/26.01 inference(symmetry,[status(thm)],[28865])).
% 39.52/26.01 tff(28867,plain,
% 39.52/26.01 (v162(constB109)),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[17398, 28866])).
% 39.52/26.01 tff(28868,plain,
% 39.52/26.01 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB103, bitIndex2)) | (~v145(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB103, bitIndex2)) | (~v145(constB103)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28869,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB103, bitIndex2)) | (~v145(constB103)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28870,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB103, bitIndex2)) | (~v145(constB103))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28869, 28868])).
% 39.52/26.01 tff(28871,plain,
% 39.52/26.01 (~v145(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28870, 5709, 12358])).
% 39.52/26.01 tff(28872,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB103) | (~v144(constB103)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB103) | (~v144(constB103)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28873,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB103) | (~v144(constB103)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28874,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB103) | (~v144(constB103))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28873, 28872])).
% 39.52/26.01 tff(28875,plain,
% 39.52/26.01 (~v144(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28874, 17003, 28871])).
% 39.52/26.01 tff(28876,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB103) | (~v142(constB103)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB103) | (~v142(constB103)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28877,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB103) | (~v142(constB103)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28878,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB103) | (~v142(constB103))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28877, 28876])).
% 39.52/26.01 tff(28879,plain,
% 39.52/26.01 (~v142(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28878, 17014, 28875])).
% 39.52/26.01 tff(28880,assumption,(v18(constB104)), introduced(assumption)).
% 39.52/26.01 tff(28881,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB104))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28882,plain,
% 39.52/26.01 ($false),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28881, 8, 28880])).
% 39.52/26.01 tff(28883,plain,(~v18(constB104)), inference(lemma,lemma(discharge,[]))).
% 39.52/26.01 tff(28884,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28885,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28886,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28885, 28884])).
% 39.52/26.01 tff(28887,plain,
% 39.52/26.01 (v22(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28886, 21, 12481])).
% 39.52/26.01 tff(28888,plain,
% 39.52/26.01 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB104)) | (~v22(constB104)) | v18(constB104))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB104)) | (~v22(constB104)) | v18(constB104))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28889,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB104)) | (~v22(constB104)) | v18(constB104))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28890,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB104)) | (~v22(constB104)) | v18(constB104)),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28889, 28888])).
% 39.52/26.01 tff(28891,plain,
% 39.52/26.01 ((~v19(constB104)) | v18(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28890, 35, 28887])).
% 39.52/26.01 tff(28892,plain,
% 39.52/26.01 (~v19(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28891, 28883])).
% 39.52/26.01 tff(28893,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28894,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28895,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104)),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28894, 28893])).
% 39.52/26.01 tff(28896,plain,
% 39.52/26.01 (v13(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28895, 50, 28892])).
% 39.52/26.01 tff(28897,plain,
% 39.52/26.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28898,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28899,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103)),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 39.52/26.01 tff(28900,plain,
% 39.52/26.01 ((~v13(constB104)) | v9(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28899, 67, 12461])).
% 39.52/26.01 tff(28901,plain,
% 39.52/26.01 (v9(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28900, 28896])).
% 39.52/26.01 tff(28902,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v141(constB103))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB103) | (~v9(constB103)) | v141(constB103))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28903,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v141(constB103))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28904,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB103) | (~v9(constB103)) | v141(constB103)),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28903, 28902])).
% 39.52/26.01 tff(28905,plain,
% 39.52/26.01 ((~v9(constB103)) | v141(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28904, 85, 12334])).
% 39.52/26.01 tff(28906,plain,
% 39.52/26.01 (v141(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28905, 28901])).
% 39.52/26.01 tff(28907,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB103) | (~v141(constB103)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB103) | (~v141(constB103)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28908,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB103) | (~v141(constB103)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28909,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB103) | (~v141(constB103))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28908, 28907])).
% 39.52/26.01 tff(28910,plain,
% 39.52/26.01 (v140(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28909, 97, 28906])).
% 39.52/26.01 tff(28911,plain,
% 39.52/26.01 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB103)) | (~v140(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB103)) | (~v140(constB103)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28912,plain,
% 39.52/26.01 (((~v140(constB103)) | (~v138(constB103))) <=> ((~v138(constB103)) | (~v140(constB103)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28913,plain,
% 39.52/26.01 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB103)) | (~v138(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB103)) | (~v140(constB103))))),
% 39.52/26.01 inference(monotonicity,[status(thm)],[28912])).
% 39.52/26.01 tff(28914,plain,
% 39.52/26.01 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB103)) | (~v138(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB103)) | (~v140(constB103)))),
% 39.52/26.01 inference(transitivity,[status(thm)],[28913, 28911])).
% 39.52/26.01 tff(28915,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB103)) | (~v138(constB103)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28916,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB103)) | (~v140(constB103))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28915, 28914])).
% 39.52/26.01 tff(28917,plain,
% 39.52/26.01 (~v138(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28916, 108, 28910])).
% 39.52/26.01 tff(28918,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB103) | v142(constB103) | (~v135(constB103)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB103) | v142(constB103) | (~v135(constB103)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28919,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB103) | v142(constB103) | (~v135(constB103)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28920,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB103) | v142(constB103) | (~v135(constB103))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28919, 28918])).
% 39.52/26.01 tff(28921,plain,
% 39.52/26.01 (v142(constB103) | (~v135(constB103))),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28920, 17028, 28917])).
% 39.52/26.01 tff(28922,plain,
% 39.52/26.01 (~v135(constB103)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28921, 28879])).
% 39.52/26.01 tff(28923,plain,
% 39.52/26.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28924,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28925,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28924, 28923])).
% 39.52/26.01 tff(28926,plain,
% 39.52/26.01 (v135(constB103) | (~v137(constB104))),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28925, 17043, 12461])).
% 39.52/26.01 tff(28927,plain,
% 39.52/26.01 (~v137(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28926, 28922])).
% 39.52/26.01 tff(28928,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB104) | (~v138(constB104)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB104) | (~v138(constB104)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28929,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB104) | (~v138(constB104)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28930,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB104) | (~v138(constB104))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28929, 28928])).
% 39.52/26.01 tff(28931,plain,
% 39.52/26.01 (~v138(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28930, 17055, 28927])).
% 39.52/26.01 tff(28932,plain,
% 39.52/26.01 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB104)) | (~v141(constB104)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB104)) | (~v141(constB104)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28933,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB104)) | (~v141(constB104)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28934,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB104)) | (~v141(constB104))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28933, 28932])).
% 39.52/26.01 tff(28935,plain,
% 39.52/26.01 (~v141(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28934, 17066, 12481])).
% 39.52/26.01 tff(28936,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB104) | (~v144(constB104)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB104) | (~v144(constB104)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28937,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB104) | (~v144(constB104)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28938,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB104) | (~v144(constB104))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28937, 28936])).
% 39.52/26.01 tff(28939,plain,
% 39.52/26.01 (~v144(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28938, 17077, 28935])).
% 39.52/26.01 tff(28940,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB104) | (~v142(constB104)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB104) | (~v142(constB104)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28941,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB104) | (~v142(constB104)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28942,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB104) | (~v142(constB104))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28941, 28940])).
% 39.52/26.01 tff(28943,plain,
% 39.52/26.01 (~v142(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28942, 17014, 28939])).
% 39.52/26.01 tff(28944,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB104) | v142(constB104) | (~v135(constB104)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB104) | v142(constB104) | (~v135(constB104)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28945,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB104) | v142(constB104) | (~v135(constB104)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28946,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB104) | v142(constB104) | (~v135(constB104))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28945, 28944])).
% 39.52/26.01 tff(28947,plain,
% 39.52/26.01 (v138(constB104) | (~v135(constB104))),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28946, 17028, 28943])).
% 39.52/26.01 tff(28948,plain,
% 39.52/26.01 (~v135(constB104)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28947, 28931])).
% 39.52/26.01 tff(28949,plain,
% 39.52/26.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28950,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28951,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28950, 28949])).
% 39.52/26.01 tff(28952,plain,
% 39.52/26.01 (v135(constB104) | (~v137(constB105))),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28951, 17043, 12523])).
% 39.52/26.01 tff(28953,plain,
% 39.52/26.01 (~v137(constB105)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28952, 28948])).
% 39.52/26.01 tff(28954,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB105) | (~v154(constB105)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB105) | (~v154(constB105)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28955,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB105) | (~v154(constB105)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28956,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB105) | (~v154(constB105))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28955, 28954])).
% 39.52/26.01 tff(28957,plain,
% 39.52/26.01 (~v154(constB105)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28956, 17105, 28953])).
% 39.52/26.01 tff(28958,plain,
% 39.52/26.01 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB105)) | (~v153(constB105)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB105)) | (~v153(constB105)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28959,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB105)) | (~v153(constB105)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28960,plain,
% 39.52/26.01 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB105)) | (~v153(constB105))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28959, 28958])).
% 39.52/26.01 tff(28961,plain,
% 39.52/26.01 (~v153(constB105)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28960, 17156, 24182])).
% 39.52/26.01 tff(28962,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB105) | v154(constB105) | (~v150(constB105)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB105) | v154(constB105) | (~v150(constB105)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28963,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB105) | v154(constB105) | (~v150(constB105)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28964,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB105) | v154(constB105) | (~v150(constB105))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28963, 28962])).
% 39.52/26.01 tff(28965,plain,
% 39.52/26.01 (v154(constB105) | (~v150(constB105))),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28964, 17170, 28961])).
% 39.52/26.01 tff(28966,plain,
% 39.52/26.01 (~v150(constB105)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28965, 28957])).
% 39.52/26.01 tff(28967,plain,
% 39.52/26.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB105, constB106)) | v150(constB105) | (~v152(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB105, constB106)) | v150(constB105) | (~v152(constB106)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28968,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB105, constB106)) | v150(constB105) | (~v152(constB106)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28969,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB105, constB106)) | v150(constB105) | (~v152(constB106))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28968, 28967])).
% 39.52/26.01 tff(28970,plain,
% 39.52/26.01 (v150(constB105) | (~v152(constB106))),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28969, 17185, 12636])).
% 39.52/26.01 tff(28971,plain,
% 39.52/26.01 (~v152(constB106)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28970, 28966])).
% 39.52/26.01 tff(28972,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB106) | (~v153(constB106)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB106) | (~v153(constB106)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28973,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB106) | (~v153(constB106)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28974,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB106) | (~v153(constB106))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28973, 28972])).
% 39.52/26.01 tff(28975,plain,
% 39.52/26.01 (~v153(constB106)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28974, 17197, 28971])).
% 39.52/26.01 tff(28976,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB106) | (~v155(constB106)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB106) | (~v155(constB106)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28977,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB106) | (~v155(constB106)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28978,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB106) | (~v155(constB106))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28977, 28976])).
% 39.52/26.01 tff(28979,plain,
% 39.52/26.01 (~v155(constB106)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28978, 17212, 24204])).
% 39.52/26.01 tff(28980,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB106) | (~v154(constB106)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB106) | (~v154(constB106)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28981,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB106) | (~v154(constB106)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28982,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB106) | (~v154(constB106))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28981, 28980])).
% 39.52/26.01 tff(28983,plain,
% 39.52/26.01 (~v154(constB106)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28982, 17223, 28979])).
% 39.52/26.01 tff(28984,plain,
% 39.52/26.01 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB106) | v154(constB106) | (~v150(constB106)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB106) | v154(constB106) | (~v150(constB106)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28985,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB106) | v154(constB106) | (~v150(constB106)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28986,plain,
% 39.52/26.01 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB106) | v154(constB106) | (~v150(constB106))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28985, 28984])).
% 39.52/26.01 tff(28987,plain,
% 39.52/26.01 (v153(constB106) | (~v150(constB106))),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28986, 17170, 28983])).
% 39.52/26.01 tff(28988,plain,
% 39.52/26.01 (~v150(constB106)),
% 39.52/26.01 inference(unit_resolution,[status(thm)],[28987, 28975])).
% 39.52/26.01 tff(28989,plain,
% 39.52/26.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB106, constB107)) | v150(constB106) | (~v152(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB106, constB107)) | v150(constB106) | (~v152(constB107)))),
% 39.52/26.01 inference(rewrite,[status(thm)],[])).
% 39.52/26.01 tff(28990,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB106, constB107)) | v150(constB106) | (~v152(constB107)))),
% 39.52/26.01 inference(quant_inst,[status(thm)],[])).
% 39.52/26.01 tff(28991,plain,
% 39.52/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB106, constB107)) | v150(constB106) | (~v152(constB107))),
% 39.52/26.01 inference(modus_ponens,[status(thm)],[28990, 28989])).
% 39.52/26.01 tff(28992,plain,
% 39.52/26.01 (v150(constB106) | (~v152(constB107))),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[28991, 17185, 12728])).
% 39.62/26.01 tff(28993,plain,
% 39.62/26.01 (~v152(constB107)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[28992, 28988])).
% 39.62/26.01 tff(28994,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB107) | (~v164(constB107)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB107) | (~v164(constB107)))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(28995,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB107) | (~v164(constB107)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(28996,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB107) | (~v164(constB107))),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 39.62/26.01 tff(28997,plain,
% 39.62/26.01 (~v164(constB107)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[28996, 17247, 28993])).
% 39.62/26.01 tff(28998,plain,
% 39.62/26.01 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB107)) | (~v163(constB107)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB107)) | (~v163(constB107)))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(28999,plain,
% 39.62/26.01 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB107)) | (~v163(constB107)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(29000,plain,
% 39.62/26.01 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB107)) | (~v163(constB107))),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[28999, 28998])).
% 39.62/26.01 tff(29001,plain,
% 39.62/26.01 (~v163(constB107)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29000, 17298, 24257])).
% 39.62/26.01 tff(29002,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB107)) | v164(constB107) | v163(constB107))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB107)) | v164(constB107) | v163(constB107))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29003,plain,
% 39.62/26.01 ((v164(constB107) | v163(constB107) | (~v160(constB107))) <=> ((~v160(constB107)) | v164(constB107) | v163(constB107))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29004,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB107) | v163(constB107) | (~v160(constB107)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB107)) | v164(constB107) | v163(constB107)))),
% 39.62/26.01 inference(monotonicity,[status(thm)],[29003])).
% 39.62/26.01 tff(29005,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB107) | v163(constB107) | (~v160(constB107)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB107)) | v164(constB107) | v163(constB107))),
% 39.62/26.01 inference(transitivity,[status(thm)],[29004, 29002])).
% 39.62/26.01 tff(29006,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB107) | v163(constB107) | (~v160(constB107)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(29007,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB107)) | v164(constB107) | v163(constB107)),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[29006, 29005])).
% 39.62/26.01 tff(29008,plain,
% 39.62/26.01 ((~v160(constB107)) | v164(constB107)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29007, 17312, 29001])).
% 39.62/26.01 tff(29009,plain,
% 39.62/26.01 (~v160(constB107)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29008, 28997])).
% 39.62/26.01 tff(29010,plain,
% 39.62/26.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB107, constB108)) | v160(constB107) | (~v162(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB107, constB108)) | v160(constB107) | (~v162(constB108)))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29011,plain,
% 39.62/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB107, constB108)) | v160(constB107) | (~v162(constB108)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(29012,plain,
% 39.62/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB107, constB108)) | v160(constB107) | (~v162(constB108))),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[29011, 29010])).
% 39.62/26.01 tff(29013,plain,
% 39.62/26.01 (v160(constB107) | (~v162(constB108))),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29012, 17330, 12864])).
% 39.62/26.01 tff(29014,plain,
% 39.62/26.01 (~v162(constB108)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29013, 29009])).
% 39.62/26.01 tff(29015,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB108) | (~v163(constB108)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB108) | (~v163(constB108)))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29016,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB108) | (~v163(constB108)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(29017,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB108) | (~v163(constB108))),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[29016, 29015])).
% 39.62/26.01 tff(29018,plain,
% 39.62/26.01 (~v163(constB108)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29017, 17342, 29014])).
% 39.62/26.01 tff(29019,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB108) | (~v164(constB108)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB108) | (~v164(constB108)))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29020,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB108) | (~v164(constB108)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(29021,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB108) | (~v164(constB108))),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 39.62/26.01 tff(29022,plain,
% 39.62/26.01 (~v164(constB108)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29021, 17361, 24283])).
% 39.62/26.01 tff(29023,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB108)) | v164(constB108) | v163(constB108))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB108)) | v164(constB108) | v163(constB108))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29024,plain,
% 39.62/26.01 ((v164(constB108) | v163(constB108) | (~v160(constB108))) <=> ((~v160(constB108)) | v164(constB108) | v163(constB108))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29025,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB108) | v163(constB108) | (~v160(constB108)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB108)) | v164(constB108) | v163(constB108)))),
% 39.62/26.01 inference(monotonicity,[status(thm)],[29024])).
% 39.62/26.01 tff(29026,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB108) | v163(constB108) | (~v160(constB108)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB108)) | v164(constB108) | v163(constB108))),
% 39.62/26.01 inference(transitivity,[status(thm)],[29025, 29023])).
% 39.62/26.01 tff(29027,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB108) | v163(constB108) | (~v160(constB108)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(29028,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB108)) | v164(constB108) | v163(constB108)),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[29027, 29026])).
% 39.62/26.01 tff(29029,plain,
% 39.62/26.01 ((~v160(constB108)) | v163(constB108)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29028, 17312, 29022])).
% 39.62/26.01 tff(29030,plain,
% 39.62/26.01 (~v160(constB108)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29029, 29018])).
% 39.62/26.01 tff(29031,plain,
% 39.62/26.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB108, constB109)) | v160(constB108) | (~v162(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB108, constB109)) | v160(constB108) | (~v162(constB109)))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29032,plain,
% 39.62/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB108, constB109)) | v160(constB108) | (~v162(constB109)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(29033,plain,
% 39.62/26.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB108, constB109)) | v160(constB108) | (~v162(constB109))),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[29032, 29031])).
% 39.62/26.01 tff(29034,plain,
% 39.62/26.01 (v160(constB108) | (~v162(constB109))),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29033, 17330, 12929])).
% 39.62/26.01 tff(29035,plain,
% 39.62/26.01 (~v162(constB109)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29034, 29030])).
% 39.62/26.01 tff(29036,plain,
% 39.62/26.01 ($false),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29035, 28867])).
% 39.62/26.01 tff(29037,plain,(~(constB109 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.01 tff(29038,assumption,(constB171 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.01 tff(29039,plain,
% 39.62/26.01 (v162(constB171) <=> v162(sK0_VarCurr)),
% 39.62/26.01 inference(monotonicity,[status(thm)],[29038])).
% 39.62/26.01 tff(29040,plain,
% 39.62/26.01 (v162(sK0_VarCurr) <=> v162(constB171)),
% 39.62/26.01 inference(symmetry,[status(thm)],[29039])).
% 39.62/26.01 tff(29041,plain,
% 39.62/26.01 (v162(constB171)),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[17398, 29040])).
% 39.62/26.01 tff(29042,plain,
% 39.62/26.01 (v109(constB163)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19156, 764, 19152])).
% 39.62/26.01 tff(29043,plain,
% 39.62/26.01 (v108(constB163)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19160, 325, 29042])).
% 39.62/26.01 tff(29044,plain,
% 39.62/26.01 (v107(constB163)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19164, 336, 29043])).
% 39.62/26.01 tff(29045,plain,
% 39.62/26.01 (v106(constB163)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19173, 29044])).
% 39.62/26.01 tff(29046,plain,
% 39.62/26.01 (v102(constB163)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19177, 362, 29045])).
% 39.62/26.01 tff(29047,plain,
% 39.62/26.01 (v104(constB164)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19188, 29046])).
% 39.62/26.01 tff(29048,plain,
% 39.62/26.01 (v94(constB164)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19214, 29047])).
% 39.62/26.01 tff(29049,plain,
% 39.62/26.01 (v124(constB163, bitIndex1)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19267, 861, 19152])).
% 39.62/26.01 tff(29050,plain,
% 39.62/26.01 (v121(constB163, bitIndex1)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19272, 29049])).
% 39.62/26.01 tff(29051,plain,
% 39.62/26.01 (v123(constB164, bitIndex1)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19277, 29050])).
% 39.62/26.01 tff(29052,plain,
% 39.62/26.01 (v84(constB164, bitIndex1) | (~v94(constB164))),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19284, 905, 29051])).
% 39.62/26.01 tff(29053,plain,
% 39.62/26.01 (v84(constB164, bitIndex1)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29052, 29048])).
% 39.62/26.01 tff(29054,plain,
% 39.62/26.01 (v84(constB165, bitIndex1)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19294, 29053])).
% 39.62/26.01 tff(29055,plain,
% 39.62/26.01 (~v145(constB165)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[19369, 1116, 29054])).
% 39.62/26.01 tff(29056,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB165) | (~v144(constB165)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB165) | (~v144(constB165)))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29057,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB165) | (~v144(constB165)))),
% 39.62/26.01 inference(quant_inst,[status(thm)],[])).
% 39.62/26.01 tff(29058,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB165) | (~v144(constB165))),
% 39.62/26.01 inference(modus_ponens,[status(thm)],[29057, 29056])).
% 39.62/26.01 tff(29059,plain,
% 39.62/26.01 (~v144(constB165)),
% 39.62/26.01 inference(unit_resolution,[status(thm)],[29058, 17003, 29055])).
% 39.62/26.01 tff(29060,plain,
% 39.62/26.01 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB165) | (~v142(constB165)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB165) | (~v142(constB165)))),
% 39.62/26.01 inference(rewrite,[status(thm)],[])).
% 39.62/26.01 tff(29061,plain,
% 39.62/26.01 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB165) | (~v142(constB165)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29062,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB165) | (~v142(constB165))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29061, 29060])).
% 39.62/26.02 tff(29063,plain,
% 39.62/26.02 (~v142(constB165)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29062, 17014, 29059])).
% 39.62/26.02 tff(29064,plain,
% 39.62/26.02 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB165)) | (~v140(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB165)) | (~v140(constB165)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29065,plain,
% 39.62/26.02 (((~v140(constB165)) | (~v138(constB165))) <=> ((~v138(constB165)) | (~v140(constB165)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29066,plain,
% 39.62/26.02 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB165)) | (~v138(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB165)) | (~v140(constB165))))),
% 39.62/26.02 inference(monotonicity,[status(thm)],[29065])).
% 39.62/26.02 tff(29067,plain,
% 39.62/26.02 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB165)) | (~v138(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB165)) | (~v140(constB165)))),
% 39.62/26.02 inference(transitivity,[status(thm)],[29066, 29064])).
% 39.62/26.02 tff(29068,plain,
% 39.62/26.02 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB165)) | (~v138(constB165)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29069,plain,
% 39.62/26.02 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB165)) | (~v140(constB165))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29068, 29067])).
% 39.62/26.02 tff(29070,plain,
% 39.62/26.02 (~v138(constB165)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29069, 108, 26829])).
% 39.62/26.02 tff(29071,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB165) | v142(constB165) | (~v135(constB165)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB165) | v142(constB165) | (~v135(constB165)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29072,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB165) | v142(constB165) | (~v135(constB165)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29073,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB165) | v142(constB165) | (~v135(constB165))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29072, 29071])).
% 39.62/26.02 tff(29074,plain,
% 39.62/26.02 (v142(constB165) | (~v135(constB165))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29073, 17028, 29070])).
% 39.62/26.02 tff(29075,plain,
% 39.62/26.02 (~v135(constB165)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29074, 29063])).
% 39.62/26.02 tff(29076,plain,
% 39.62/26.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29077,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29078,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29077, 29076])).
% 39.62/26.02 tff(29079,plain,
% 39.62/26.02 (v135(constB165) | (~v137(constB166))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29078, 17043, 19385])).
% 39.62/26.02 tff(29080,plain,
% 39.62/26.02 (~v137(constB166)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29079, 29075])).
% 39.62/26.02 tff(29081,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB166) | (~v138(constB166)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB166) | (~v138(constB166)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29082,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB166) | (~v138(constB166)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29083,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB166) | (~v138(constB166))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 39.62/26.02 tff(29084,plain,
% 39.62/26.02 (~v138(constB166)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29083, 17055, 29080])).
% 39.62/26.02 tff(29085,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB166) | (~v144(constB166)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB166) | (~v144(constB166)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29086,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB166) | (~v144(constB166)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29087,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB166) | (~v144(constB166))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29086, 29085])).
% 39.62/26.02 tff(29088,plain,
% 39.62/26.02 (~v144(constB166)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29087, 17077, 26854])).
% 39.62/26.02 tff(29089,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB166) | (~v142(constB166)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB166) | (~v142(constB166)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29090,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB166) | (~v142(constB166)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29091,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB166) | (~v142(constB166))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29090, 29089])).
% 39.62/26.02 tff(29092,plain,
% 39.62/26.02 (~v142(constB166)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29091, 17014, 29088])).
% 39.62/26.02 tff(29093,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB166) | v142(constB166) | (~v135(constB166)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB166) | v142(constB166) | (~v135(constB166)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29094,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB166) | v142(constB166) | (~v135(constB166)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29095,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB166) | v142(constB166) | (~v135(constB166))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29094, 29093])).
% 39.62/26.02 tff(29096,plain,
% 39.62/26.02 (v138(constB166) | (~v135(constB166))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29095, 17028, 29092])).
% 39.62/26.02 tff(29097,plain,
% 39.62/26.02 (~v135(constB166)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29096, 29084])).
% 39.62/26.02 tff(29098,plain,
% 39.62/26.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29099,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29100,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29099, 29098])).
% 39.62/26.02 tff(29101,plain,
% 39.62/26.02 (v135(constB166) | (~v137(constB167))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29100, 17043, 19445])).
% 39.62/26.02 tff(29102,plain,
% 39.62/26.02 (~v137(constB167)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29101, 29097])).
% 39.62/26.02 tff(29103,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB167) | (~v154(constB167)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB167) | (~v154(constB167)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29104,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB167) | (~v154(constB167)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29105,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB167) | (~v154(constB167))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29104, 29103])).
% 39.62/26.02 tff(29106,plain,
% 39.62/26.02 (~v154(constB167)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29105, 17105, 29102])).
% 39.62/26.02 tff(29107,plain,
% 39.62/26.02 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB167)) | (~v153(constB167)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB167)) | (~v153(constB167)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29108,plain,
% 39.62/26.02 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB167)) | (~v153(constB167)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29109,plain,
% 39.62/26.02 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB167)) | (~v153(constB167))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29108, 29107])).
% 39.62/26.02 tff(29110,plain,
% 39.62/26.02 (~v153(constB167)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29109, 17156, 28393])).
% 39.62/26.02 tff(29111,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB167) | v154(constB167) | (~v150(constB167)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB167) | v154(constB167) | (~v150(constB167)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29112,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB167) | v154(constB167) | (~v150(constB167)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29113,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB167) | v154(constB167) | (~v150(constB167))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29112, 29111])).
% 39.62/26.02 tff(29114,plain,
% 39.62/26.02 (v154(constB167) | (~v150(constB167))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29113, 17170, 29110])).
% 39.62/26.02 tff(29115,plain,
% 39.62/26.02 (~v150(constB167)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29114, 29106])).
% 39.62/26.02 tff(29116,plain,
% 39.62/26.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29117,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29118,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 39.62/26.02 tff(29119,plain,
% 39.62/26.02 (v150(constB167) | (~v152(constB168))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29118, 17185, 19576])).
% 39.62/26.02 tff(29120,plain,
% 39.62/26.02 (~v152(constB168)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29119, 29115])).
% 39.62/26.02 tff(29121,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB168) | (~v153(constB168)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB168) | (~v153(constB168)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29122,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB168) | (~v153(constB168)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29123,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB168) | (~v153(constB168))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29122, 29121])).
% 39.62/26.02 tff(29124,plain,
% 39.62/26.02 (~v153(constB168)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29123, 17197, 29120])).
% 39.62/26.02 tff(29125,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB168) | (~v154(constB168)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB168) | (~v154(constB168)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29126,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB168) | (~v154(constB168)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29127,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB168) | (~v154(constB168))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29126, 29125])).
% 39.62/26.02 tff(29128,plain,
% 39.62/26.02 (~v154(constB168)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29127, 17223, 28422])).
% 39.62/26.02 tff(29129,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB168) | v154(constB168) | (~v150(constB168)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB168) | v154(constB168) | (~v150(constB168)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29130,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB168) | v154(constB168) | (~v150(constB168)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29131,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB168) | v154(constB168) | (~v150(constB168))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29130, 29129])).
% 39.62/26.02 tff(29132,plain,
% 39.62/26.02 (v153(constB168) | (~v150(constB168))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29131, 17170, 29128])).
% 39.62/26.02 tff(29133,plain,
% 39.62/26.02 (~v150(constB168)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29132, 29124])).
% 39.62/26.02 tff(29134,plain,
% 39.62/26.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29135,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29136,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29135, 29134])).
% 39.62/26.02 tff(29137,plain,
% 39.62/26.02 (v150(constB168) | (~v152(constB169))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29136, 17185, 19665])).
% 39.62/26.02 tff(29138,plain,
% 39.62/26.02 (~v152(constB169)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29137, 29133])).
% 39.62/26.02 tff(29139,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB169) | (~v164(constB169)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB169) | (~v164(constB169)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29140,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB169) | (~v164(constB169)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29141,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB169) | (~v164(constB169))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29140, 29139])).
% 39.62/26.02 tff(29142,plain,
% 39.62/26.02 (~v164(constB169)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29141, 17247, 29138])).
% 39.62/26.02 tff(29143,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB169) | (~v163(constB169)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB169) | (~v163(constB169)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29144,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB169) | (~v163(constB169)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29145,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB169) | (~v163(constB169))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29144, 29143])).
% 39.62/26.02 tff(29146,plain,
% 39.62/26.02 (~v163(constB169)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29145, 17342, 28439])).
% 39.62/26.02 tff(29147,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB169)) | v163(constB169) | v164(constB169))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB169)) | v163(constB169) | v164(constB169))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29148,plain,
% 39.62/26.02 ((v164(constB169) | v163(constB169) | (~v160(constB169))) <=> ((~v160(constB169)) | v163(constB169) | v164(constB169))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29149,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB169) | v163(constB169) | (~v160(constB169)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB169)) | v163(constB169) | v164(constB169)))),
% 39.62/26.02 inference(monotonicity,[status(thm)],[29148])).
% 39.62/26.02 tff(29150,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB169) | v163(constB169) | (~v160(constB169)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB169)) | v163(constB169) | v164(constB169))),
% 39.62/26.02 inference(transitivity,[status(thm)],[29149, 29147])).
% 39.62/26.02 tff(29151,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB169) | v163(constB169) | (~v160(constB169)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29152,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB169)) | v163(constB169) | v164(constB169)),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29151, 29150])).
% 39.62/26.02 tff(29153,plain,
% 39.62/26.02 ((~v160(constB169)) | v164(constB169)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29152, 17312, 29146])).
% 39.62/26.02 tff(29154,plain,
% 39.62/26.02 (~v160(constB169)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29153, 29142])).
% 39.62/26.02 tff(29155,plain,
% 39.62/26.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB169, constB170)) | v160(constB169) | (~v162(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB169, constB170)) | v160(constB169) | (~v162(constB170)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29156,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB169, constB170)) | v160(constB169) | (~v162(constB170)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29157,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB169, constB170)) | v160(constB169) | (~v162(constB170))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29156, 29155])).
% 39.62/26.02 tff(29158,plain,
% 39.62/26.02 (v160(constB169) | (~v162(constB170))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29157, 17330, 17676])).
% 39.62/26.02 tff(29159,plain,
% 39.62/26.02 (~v162(constB170)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29158, 29154])).
% 39.62/26.02 tff(29160,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB170) | (~v163(constB170)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB170) | (~v163(constB170)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29161,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB170) | (~v163(constB170)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29162,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB170) | (~v163(constB170))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29161, 29160])).
% 39.62/26.02 tff(29163,plain,
% 39.62/26.02 (~v163(constB170)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29162, 17342, 29159])).
% 39.62/26.02 tff(29164,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB170) | (~v155(constB170)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB170) | (~v155(constB170)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29165,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB170) | (~v155(constB170)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29166,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB170) | (~v155(constB170))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29165, 29164])).
% 39.62/26.02 tff(29167,plain,
% 39.62/26.02 (~v155(constB170)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29166, 17212, 19716])).
% 39.62/26.02 tff(29168,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB170) | (~v164(constB170)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB170) | (~v164(constB170)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29169,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB170) | (~v164(constB170)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29170,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB170) | (~v164(constB170))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29169, 29168])).
% 39.62/26.02 tff(29171,plain,
% 39.62/26.02 (~v164(constB170)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29170, 17361, 29167])).
% 39.62/26.02 tff(29172,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB170)) | v164(constB170) | v163(constB170))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB170)) | v164(constB170) | v163(constB170))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29173,plain,
% 39.62/26.02 ((v164(constB170) | v163(constB170) | (~v160(constB170))) <=> ((~v160(constB170)) | v164(constB170) | v163(constB170))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29174,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB170) | v163(constB170) | (~v160(constB170)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB170)) | v164(constB170) | v163(constB170)))),
% 39.62/26.02 inference(monotonicity,[status(thm)],[29173])).
% 39.62/26.02 tff(29175,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB170) | v163(constB170) | (~v160(constB170)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB170)) | v164(constB170) | v163(constB170))),
% 39.62/26.02 inference(transitivity,[status(thm)],[29174, 29172])).
% 39.62/26.02 tff(29176,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB170) | v163(constB170) | (~v160(constB170)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29177,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB170)) | v164(constB170) | v163(constB170)),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29176, 29175])).
% 39.62/26.02 tff(29178,plain,
% 39.62/26.02 ((~v160(constB170)) | v163(constB170)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29177, 17312, 29171])).
% 39.62/26.02 tff(29179,plain,
% 39.62/26.02 (~v160(constB170)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29178, 29163])).
% 39.62/26.02 tff(29180,plain,
% 39.62/26.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB170, constB171)) | v160(constB170) | (~v162(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB170, constB171)) | v160(constB170) | (~v162(constB171)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29181,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB170, constB171)) | v160(constB170) | (~v162(constB171)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29182,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB170, constB171)) | v160(constB170) | (~v162(constB171))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29181, 29180])).
% 39.62/26.02 tff(29183,plain,
% 39.62/26.02 (v160(constB170) | (~v162(constB171))),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29182, 17330, 19732])).
% 39.62/26.02 tff(29184,plain,
% 39.62/26.02 (~v162(constB171)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29183, 29179])).
% 39.62/26.02 tff(29185,plain,
% 39.62/26.02 ($false),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29184, 29041])).
% 39.62/26.02 tff(29186,plain,(~(constB171 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.02 tff(29187,assumption,(constB6 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.02 tff(29188,plain,
% 39.62/26.02 (v1(constB6) <=> v1(sK0_VarCurr)),
% 39.62/26.02 inference(monotonicity,[status(thm)],[29187])).
% 39.62/26.02 tff(29189,plain,
% 39.62/26.02 (v1(sK0_VarCurr) <=> v1(constB6)),
% 39.62/26.02 inference(symmetry,[status(thm)],[29188])).
% 39.62/26.02 tff(29190,plain,
% 39.62/26.02 ((~v1(sK0_VarCurr)) <=> (~v1(constB6))),
% 39.62/26.02 inference(monotonicity,[status(thm)],[29189])).
% 39.62/26.02 tff(29191,plain,
% 39.62/26.02 (~v1(constB6)),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[23858, 29190])).
% 39.62/26.02 tff(29192,plain,
% 39.62/26.02 ($false),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[1037, 29191])).
% 39.62/26.02 tff(29193,plain,(~(constB6 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.02 tff(29194,assumption,(constB131 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.02 tff(29195,plain,
% 39.62/26.02 (v162(constB131) <=> v162(sK0_VarCurr)),
% 39.62/26.02 inference(monotonicity,[status(thm)],[29194])).
% 39.62/26.02 tff(29196,plain,
% 39.62/26.02 (v162(sK0_VarCurr) <=> v162(constB131)),
% 39.62/26.02 inference(symmetry,[status(thm)],[29195])).
% 39.62/26.02 tff(29197,plain,
% 39.62/26.02 (v162(constB131)),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[17398, 29196])).
% 39.62/26.02 tff(29198,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB125) | (~v144(constB125)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB125) | (~v144(constB125)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29199,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB125) | (~v144(constB125)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29200,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB125) | (~v144(constB125))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29199, 29198])).
% 39.62/26.02 tff(29201,plain,
% 39.62/26.02 (~v144(constB125)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29200, 17003, 14690])).
% 39.62/26.02 tff(29202,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB125) | (~v142(constB125)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29203,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB125) | (~v142(constB125)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29204,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB125) | (~v142(constB125))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29203, 29202])).
% 39.62/26.02 tff(29205,plain,
% 39.62/26.02 (~v142(constB125)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29204, 17014, 29201])).
% 39.62/26.02 tff(29206,assumption,(v18(constB126)), introduced(assumption)).
% 39.62/26.02 tff(29207,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB126))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29208,plain,
% 39.62/26.02 ($false),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29207, 8, 29206])).
% 39.62/26.02 tff(29209,plain,(~v18(constB126)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.02 tff(29210,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29211,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29212,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29211, 29210])).
% 39.62/26.02 tff(29213,plain,
% 39.62/26.02 (v22(constB126)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29212, 21, 14652])).
% 39.62/26.02 tff(29214,plain,
% 39.62/26.02 (((~![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))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29215,plain,
% 39.62/26.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB126)) | (~v22(constB126)) | v18(constB126))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29216,plain,
% 39.62/26.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB126)) | (~v22(constB126)) | v18(constB126)),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29215, 29214])).
% 39.62/26.02 tff(29217,plain,
% 39.62/26.02 ((~v19(constB126)) | v18(constB126)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29216, 35, 29213])).
% 39.62/26.02 tff(29218,plain,
% 39.62/26.02 (~v19(constB126)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29217, 29209])).
% 39.62/26.02 tff(29219,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29220,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29221,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126)),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29220, 29219])).
% 39.62/26.02 tff(29222,plain,
% 39.62/26.02 (v13(constB126)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29221, 50, 29218])).
% 39.62/26.02 tff(29223,plain,
% 39.62/26.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29224,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29225,plain,
% 39.62/26.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125)),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29224, 29223])).
% 39.62/26.02 tff(29226,plain,
% 39.62/26.02 ((~v13(constB126)) | v9(constB125)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29225, 67, 14632])).
% 39.62/26.02 tff(29227,plain,
% 39.62/26.02 (v9(constB125)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29226, 29222])).
% 39.62/26.02 tff(29228,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v141(constB125))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB125) | (~v9(constB125)) | v141(constB125))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29229,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v141(constB125))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29230,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB125) | (~v9(constB125)) | v141(constB125)),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29229, 29228])).
% 39.62/26.02 tff(29231,plain,
% 39.62/26.02 ((~v9(constB125)) | v141(constB125)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29230, 85, 14516])).
% 39.62/26.02 tff(29232,plain,
% 39.62/26.02 (v141(constB125)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29231, 29227])).
% 39.62/26.02 tff(29233,plain,
% 39.62/26.02 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB125) | (~v141(constB125)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB125) | (~v141(constB125)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29234,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB125) | (~v141(constB125)))),
% 39.62/26.02 inference(quant_inst,[status(thm)],[])).
% 39.62/26.02 tff(29235,plain,
% 39.62/26.02 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB125) | (~v141(constB125))),
% 39.62/26.02 inference(modus_ponens,[status(thm)],[29234, 29233])).
% 39.62/26.02 tff(29236,plain,
% 39.62/26.02 (v140(constB125)),
% 39.62/26.02 inference(unit_resolution,[status(thm)],[29235, 97, 29232])).
% 39.62/26.02 tff(29237,plain,
% 39.62/26.02 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB125)) | (~v140(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB125)) | (~v140(constB125)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29238,plain,
% 39.62/26.02 (((~v140(constB125)) | (~v138(constB125))) <=> ((~v138(constB125)) | (~v140(constB125)))),
% 39.62/26.02 inference(rewrite,[status(thm)],[])).
% 39.62/26.02 tff(29239,plain,
% 39.62/26.02 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB125)) | (~v138(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB125)) | (~v140(constB125))))),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29238])).
% 39.62/26.03 tff(29240,plain,
% 39.62/26.03 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB125)) | (~v138(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB125)) | (~v140(constB125)))),
% 39.62/26.03 inference(transitivity,[status(thm)],[29239, 29237])).
% 39.62/26.03 tff(29241,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB125)) | (~v138(constB125)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29242,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB125)) | (~v140(constB125))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29241, 29240])).
% 39.62/26.03 tff(29243,plain,
% 39.62/26.03 (~v138(constB125)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29242, 108, 29236])).
% 39.62/26.03 tff(29244,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB125) | v142(constB125) | (~v135(constB125)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB125) | v142(constB125) | (~v135(constB125)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29245,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB125) | v142(constB125) | (~v135(constB125)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29246,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB125) | v142(constB125) | (~v135(constB125))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 39.62/26.03 tff(29247,plain,
% 39.62/26.03 (v142(constB125) | (~v135(constB125))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29246, 17028, 29243])).
% 39.62/26.03 tff(29248,plain,
% 39.62/26.03 (~v135(constB125)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29247, 29205])).
% 39.62/26.03 tff(29249,plain,
% 39.62/26.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB125, constB126)) | v135(constB125) | (~v137(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB125, constB126)) | v135(constB125) | (~v137(constB126)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29250,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB125, constB126)) | v135(constB125) | (~v137(constB126)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29251,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB125, constB126)) | v135(constB125) | (~v137(constB126))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29250, 29249])).
% 39.62/26.03 tff(29252,plain,
% 39.62/26.03 (v135(constB125) | (~v137(constB126))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29251, 17043, 14632])).
% 39.62/26.03 tff(29253,plain,
% 39.62/26.03 (~v137(constB126)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29252, 29248])).
% 39.62/26.03 tff(29254,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB126) | (~v138(constB126)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB126) | (~v138(constB126)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29255,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB126) | (~v138(constB126)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29256,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB126) | (~v138(constB126))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29255, 29254])).
% 39.62/26.03 tff(29257,plain,
% 39.62/26.03 (~v138(constB126)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29256, 17055, 29253])).
% 39.62/26.03 tff(29258,plain,
% 39.62/26.03 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB126)) | (~v141(constB126)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB126)) | (~v141(constB126)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29259,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB126)) | (~v141(constB126)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29260,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB126)) | (~v141(constB126))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29259, 29258])).
% 39.62/26.03 tff(29261,plain,
% 39.62/26.03 (~v141(constB126)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29260, 17066, 14652])).
% 39.62/26.03 tff(29262,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB126) | (~v144(constB126)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB126) | (~v144(constB126)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29263,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB126) | (~v144(constB126)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29264,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB126) | (~v144(constB126))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29263, 29262])).
% 39.62/26.03 tff(29265,plain,
% 39.62/26.03 (~v144(constB126)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29264, 17077, 29261])).
% 39.62/26.03 tff(29266,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB126) | (~v142(constB126)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB126) | (~v142(constB126)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29267,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB126) | (~v142(constB126)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29268,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB126) | (~v142(constB126))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29267, 29266])).
% 39.62/26.03 tff(29269,plain,
% 39.62/26.03 (~v142(constB126)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29268, 17014, 29265])).
% 39.62/26.03 tff(29270,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB126) | v142(constB126) | (~v135(constB126)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB126) | v142(constB126) | (~v135(constB126)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29271,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB126) | v142(constB126) | (~v135(constB126)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29272,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB126) | v142(constB126) | (~v135(constB126))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29271, 29270])).
% 39.62/26.03 tff(29273,plain,
% 39.62/26.03 (v138(constB126) | (~v135(constB126))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29272, 17028, 29269])).
% 39.62/26.03 tff(29274,plain,
% 39.62/26.03 (~v135(constB126)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29273, 29257])).
% 39.62/26.03 tff(29275,plain,
% 39.62/26.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB126, constB127)) | v135(constB126) | (~v137(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB126, constB127)) | v135(constB126) | (~v137(constB127)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29276,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB126, constB127)) | v135(constB126) | (~v137(constB127)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29277,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB126, constB127)) | v135(constB126) | (~v137(constB127))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29276, 29275])).
% 39.62/26.03 tff(29278,plain,
% 39.62/26.03 (v135(constB126) | (~v137(constB127))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29277, 17043, 14724])).
% 39.62/26.03 tff(29279,plain,
% 39.62/26.03 (~v137(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29278, 29274])).
% 39.62/26.03 tff(29280,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB127) | (~v154(constB127)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB127) | (~v154(constB127)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29281,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB127) | (~v154(constB127)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29282,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB127) | (~v154(constB127))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29281, 29280])).
% 39.62/26.03 tff(29283,plain,
% 39.62/26.03 (~v154(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29282, 17105, 29279])).
% 39.62/26.03 tff(29284,assumption,(v18(constB128)), introduced(assumption)).
% 39.62/26.03 tff(29285,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB128))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29286,plain,
% 39.62/26.03 ($false),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29285, 8, 29284])).
% 39.62/26.03 tff(29287,plain,(~v18(constB128)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.03 tff(29288,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29289,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29290,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29289, 29288])).
% 39.62/26.03 tff(29291,plain,
% 39.62/26.03 (v22(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29290, 21, 14880])).
% 39.62/26.03 tff(29292,plain,
% 39.62/26.03 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB128)) | (~v22(constB128)) | v18(constB128))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB128)) | (~v22(constB128)) | v18(constB128))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29293,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB128)) | (~v22(constB128)) | v18(constB128))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29294,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB128)) | (~v22(constB128)) | v18(constB128)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 39.62/26.03 tff(29295,plain,
% 39.62/26.03 ((~v19(constB128)) | v18(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29294, 35, 29291])).
% 39.62/26.03 tff(29296,plain,
% 39.62/26.03 (~v19(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29295, 29287])).
% 39.62/26.03 tff(29297,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29298,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29299,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 39.62/26.03 tff(29300,plain,
% 39.62/26.03 (v13(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29299, 50, 29296])).
% 39.62/26.03 tff(29301,plain,
% 39.62/26.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29302,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29303,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29302, 29301])).
% 39.62/26.03 tff(29304,plain,
% 39.62/26.03 ((~v13(constB128)) | v9(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29303, 67, 14860])).
% 39.62/26.03 tff(29305,plain,
% 39.62/26.03 (v9(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29304, 29300])).
% 39.62/26.03 tff(29306,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v141(constB127))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB127) | (~v9(constB127)) | v141(constB127))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29307,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v141(constB127))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29308,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB127) | (~v9(constB127)) | v141(constB127)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29307, 29306])).
% 39.62/26.03 tff(29309,plain,
% 39.62/26.03 ((~v9(constB127)) | v141(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29308, 85, 14721])).
% 39.62/26.03 tff(29310,plain,
% 39.62/26.03 (v141(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29309, 29305])).
% 39.62/26.03 tff(29311,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB127) | (~v141(constB127)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB127) | (~v141(constB127)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29312,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB127) | (~v141(constB127)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29313,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB127) | (~v141(constB127))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 39.62/26.03 tff(29314,plain,
% 39.62/26.03 (v140(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29313, 97, 29310])).
% 39.62/26.03 tff(29315,plain,
% 39.62/26.03 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB127)) | (~v153(constB127)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB127)) | (~v153(constB127)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29316,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB127)) | (~v153(constB127)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29317,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB127)) | (~v153(constB127))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 39.62/26.03 tff(29318,plain,
% 39.62/26.03 (~v153(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29317, 17156, 29314])).
% 39.62/26.03 tff(29319,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB127) | v154(constB127) | (~v150(constB127)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB127) | v154(constB127) | (~v150(constB127)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29320,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB127) | v154(constB127) | (~v150(constB127)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29321,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB127) | v154(constB127) | (~v150(constB127))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29320, 29319])).
% 39.62/26.03 tff(29322,plain,
% 39.62/26.03 (v154(constB127) | (~v150(constB127))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29321, 17170, 29318])).
% 39.62/26.03 tff(29323,plain,
% 39.62/26.03 (~v150(constB127)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29322, 29283])).
% 39.62/26.03 tff(29324,plain,
% 39.62/26.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB127, constB128)) | v150(constB127) | (~v152(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB127, constB128)) | v150(constB127) | (~v152(constB128)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29325,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB127, constB128)) | v150(constB127) | (~v152(constB128)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29326,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB127, constB128)) | v150(constB127) | (~v152(constB128))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29325, 29324])).
% 39.62/26.03 tff(29327,plain,
% 39.62/26.03 (v150(constB127) | (~v152(constB128))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29326, 17185, 14860])).
% 39.62/26.03 tff(29328,plain,
% 39.62/26.03 (~v152(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29327, 29323])).
% 39.62/26.03 tff(29329,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB128) | (~v153(constB128)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB128) | (~v153(constB128)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29330,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB128) | (~v153(constB128)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29331,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB128) | (~v153(constB128))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29330, 29329])).
% 39.62/26.03 tff(29332,plain,
% 39.62/26.03 (~v153(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29331, 17197, 29328])).
% 39.62/26.03 tff(29333,plain,
% 39.62/26.03 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB128)) | (~v141(constB128)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB128)) | (~v141(constB128)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29334,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB128)) | (~v141(constB128)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29335,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB128)) | (~v141(constB128))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 39.62/26.03 tff(29336,plain,
% 39.62/26.03 (~v141(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29335, 17066, 14880])).
% 39.62/26.03 tff(29337,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB128) | (~v155(constB128)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB128) | (~v155(constB128)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29338,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB128) | (~v155(constB128)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29339,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB128) | (~v155(constB128))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29338, 29337])).
% 39.62/26.03 tff(29340,plain,
% 39.62/26.03 (~v155(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29339, 17212, 29336])).
% 39.62/26.03 tff(29341,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB128) | (~v154(constB128)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB128) | (~v154(constB128)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29342,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB128) | (~v154(constB128)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29343,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB128) | (~v154(constB128))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29342, 29341])).
% 39.62/26.03 tff(29344,plain,
% 39.62/26.03 (~v154(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29343, 17223, 29340])).
% 39.62/26.03 tff(29345,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB128) | v154(constB128) | (~v150(constB128)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB128) | v154(constB128) | (~v150(constB128)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29346,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB128) | v154(constB128) | (~v150(constB128)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29347,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB128) | v154(constB128) | (~v150(constB128))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29346, 29345])).
% 39.62/26.03 tff(29348,plain,
% 39.62/26.03 (v153(constB128) | (~v150(constB128))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29347, 17170, 29344])).
% 39.62/26.03 tff(29349,plain,
% 39.62/26.03 (~v150(constB128)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29348, 29332])).
% 39.62/26.03 tff(29350,plain,
% 39.62/26.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB128, constB129)) | v150(constB128) | (~v152(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB128, constB129)) | v150(constB128) | (~v152(constB129)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29351,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB128, constB129)) | v150(constB128) | (~v152(constB129)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29352,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB128, constB129)) | v150(constB128) | (~v152(constB129))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29351, 29350])).
% 39.62/26.03 tff(29353,plain,
% 39.62/26.03 (v150(constB128) | (~v152(constB129))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29352, 17185, 14925])).
% 39.62/26.03 tff(29354,plain,
% 39.62/26.03 (~v152(constB129)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29353, 29349])).
% 39.62/26.03 tff(29355,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB129) | (~v164(constB129)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB129) | (~v164(constB129)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29356,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB129) | (~v164(constB129)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29357,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB129) | (~v164(constB129))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29356, 29355])).
% 39.62/26.03 tff(29358,plain,
% 39.62/26.03 (~v164(constB129)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29357, 17247, 29354])).
% 39.62/26.03 tff(29359,plain,
% 39.62/26.03 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB129)) | (~v163(constB129)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB129)) | (~v163(constB129)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29360,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB129)) | (~v163(constB129)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29361,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB129)) | (~v163(constB129))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29360, 29359])).
% 39.62/26.03 tff(29362,plain,
% 39.62/26.03 (~v163(constB129)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29361, 17298, 26188])).
% 39.62/26.03 tff(29363,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB129)) | v163(constB129) | v164(constB129))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB129)) | v163(constB129) | v164(constB129))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29364,plain,
% 39.62/26.03 ((v164(constB129) | v163(constB129) | (~v160(constB129))) <=> ((~v160(constB129)) | v163(constB129) | v164(constB129))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29365,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB129) | v163(constB129) | (~v160(constB129)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB129)) | v163(constB129) | v164(constB129)))),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29364])).
% 39.62/26.03 tff(29366,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB129) | v163(constB129) | (~v160(constB129)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB129)) | v163(constB129) | v164(constB129))),
% 39.62/26.03 inference(transitivity,[status(thm)],[29365, 29363])).
% 39.62/26.03 tff(29367,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB129) | v163(constB129) | (~v160(constB129)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29368,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB129)) | v163(constB129) | v164(constB129)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29367, 29366])).
% 39.62/26.03 tff(29369,plain,
% 39.62/26.03 ((~v160(constB129)) | v164(constB129)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29368, 17312, 29362])).
% 39.62/26.03 tff(29370,plain,
% 39.62/26.03 (~v160(constB129)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29369, 29358])).
% 39.62/26.03 tff(29371,plain,
% 39.62/26.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB129, constB130)) | v160(constB129) | (~v162(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB129, constB130)) | v160(constB129) | (~v162(constB130)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29372,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB129, constB130)) | v160(constB129) | (~v162(constB130)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29373,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB129, constB130)) | v160(constB129) | (~v162(constB130))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29372, 29371])).
% 39.62/26.03 tff(29374,plain,
% 39.62/26.03 (v160(constB129) | (~v162(constB130))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29373, 17330, 15054])).
% 39.62/26.03 tff(29375,plain,
% 39.62/26.03 (~v162(constB130)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29374, 29370])).
% 39.62/26.03 tff(29376,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB130) | (~v163(constB130)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB130) | (~v163(constB130)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29377,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB130) | (~v163(constB130)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29378,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB130) | (~v163(constB130))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29377, 29376])).
% 39.62/26.03 tff(29379,plain,
% 39.62/26.03 (~v163(constB130)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29378, 17342, 29375])).
% 39.62/26.03 tff(29380,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB130) | (~v155(constB130)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB130) | (~v155(constB130)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29381,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB130) | (~v155(constB130)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29382,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB130) | (~v155(constB130))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29381, 29380])).
% 39.62/26.03 tff(29383,plain,
% 39.62/26.03 (~v155(constB130)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29382, 17212, 26210])).
% 39.62/26.03 tff(29384,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB130) | (~v164(constB130)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB130) | (~v164(constB130)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29385,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB130) | (~v164(constB130)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29386,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB130) | (~v164(constB130))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29385, 29384])).
% 39.62/26.03 tff(29387,plain,
% 39.62/26.03 (~v164(constB130)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29386, 17361, 29383])).
% 39.62/26.03 tff(29388,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB130)) | v164(constB130) | v163(constB130))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB130)) | v164(constB130) | v163(constB130))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29389,plain,
% 39.62/26.03 ((v164(constB130) | v163(constB130) | (~v160(constB130))) <=> ((~v160(constB130)) | v164(constB130) | v163(constB130))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29390,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB130) | v163(constB130) | (~v160(constB130)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB130)) | v164(constB130) | v163(constB130)))),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29389])).
% 39.62/26.03 tff(29391,plain,
% 39.62/26.03 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB130) | v163(constB130) | (~v160(constB130)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB130)) | v164(constB130) | v163(constB130))),
% 39.62/26.03 inference(transitivity,[status(thm)],[29390, 29388])).
% 39.62/26.03 tff(29392,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB130) | v163(constB130) | (~v160(constB130)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29393,plain,
% 39.62/26.03 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB130)) | v164(constB130) | v163(constB130)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29392, 29391])).
% 39.62/26.03 tff(29394,plain,
% 39.62/26.03 ((~v160(constB130)) | v163(constB130)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29393, 17312, 29387])).
% 39.62/26.03 tff(29395,plain,
% 39.62/26.03 (~v160(constB130)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29394, 29379])).
% 39.62/26.03 tff(29396,plain,
% 39.62/26.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB130, constB131)) | v160(constB130) | (~v162(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB130, constB131)) | v160(constB130) | (~v162(constB131)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29397,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB130, constB131)) | v160(constB130) | (~v162(constB131)))),
% 39.62/26.03 inference(quant_inst,[status(thm)],[])).
% 39.62/26.03 tff(29398,plain,
% 39.62/26.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB130, constB131)) | v160(constB130) | (~v162(constB131))),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[29397, 29396])).
% 39.62/26.03 tff(29399,plain,
% 39.62/26.03 (v160(constB130) | (~v162(constB131))),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29398, 17330, 15119])).
% 39.62/26.03 tff(29400,plain,
% 39.62/26.03 (~v162(constB131)),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29399, 29395])).
% 39.62/26.03 tff(29401,plain,
% 39.62/26.03 ($false),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[29400, 29197])).
% 39.62/26.03 tff(29402,plain,(~(constB131 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.03 tff(29403,assumption,(constB56 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.03 tff(29404,plain,
% 39.62/26.03 (v1(constB56) <=> v1(sK0_VarCurr)),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29403])).
% 39.62/26.03 tff(29405,plain,
% 39.62/26.03 (v1(sK0_VarCurr) <=> v1(constB56)),
% 39.62/26.03 inference(symmetry,[status(thm)],[29404])).
% 39.62/26.03 tff(29406,plain,
% 39.62/26.03 ((~v1(sK0_VarCurr)) <=> (~v1(constB56))),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29405])).
% 39.62/26.03 tff(29407,plain,
% 39.62/26.03 (~v1(constB56)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[23858, 29406])).
% 39.62/26.03 tff(29408,plain,
% 39.62/26.03 ($false),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[6910, 29407])).
% 39.62/26.03 tff(29409,plain,(~(constB56 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.03 tff(29410,assumption,(constB22 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.03 tff(29411,plain,
% 39.62/26.03 (v1(constB22) <=> v1(sK0_VarCurr)),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29410])).
% 39.62/26.03 tff(29412,plain,
% 39.62/26.03 (v1(sK0_VarCurr) <=> v1(constB22)),
% 39.62/26.03 inference(symmetry,[status(thm)],[29411])).
% 39.62/26.03 tff(29413,plain,
% 39.62/26.03 ((~v1(sK0_VarCurr)) <=> (~v1(constB22))),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29412])).
% 39.62/26.03 tff(29414,plain,
% 39.62/26.03 (~v1(constB22)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[23858, 29413])).
% 39.62/26.03 tff(29415,plain,
% 39.62/26.03 ($false),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[3110, 29414])).
% 39.62/26.03 tff(29416,plain,(~(constB22 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.03 tff(29417,assumption,(constB80 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.03 tff(29418,plain,
% 39.62/26.03 (v1(constB80) <=> v1(sK0_VarCurr)),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29417])).
% 39.62/26.03 tff(29419,plain,
% 39.62/26.03 (v1(sK0_VarCurr) <=> v1(constB80)),
% 39.62/26.03 inference(symmetry,[status(thm)],[29418])).
% 39.62/26.03 tff(29420,plain,
% 39.62/26.03 ((~v1(sK0_VarCurr)) <=> (~v1(constB80))),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29419])).
% 39.62/26.03 tff(29421,plain,
% 39.62/26.03 (~v1(constB80)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[23858, 29420])).
% 39.62/26.03 tff(29422,plain,
% 39.62/26.03 ($false),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[9664, 29421])).
% 39.62/26.03 tff(29423,plain,(~(constB80 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.03 tff(29424,assumption,(constB10 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.03 tff(29425,plain,
% 39.62/26.03 (v1(constB10) <=> v1(sK0_VarCurr)),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29424])).
% 39.62/26.03 tff(29426,plain,
% 39.62/26.03 (v1(sK0_VarCurr) <=> v1(constB10)),
% 39.62/26.03 inference(symmetry,[status(thm)],[29425])).
% 39.62/26.03 tff(29427,plain,
% 39.62/26.03 ((~v1(sK0_VarCurr)) <=> (~v1(constB10))),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29426])).
% 39.62/26.03 tff(29428,plain,
% 39.62/26.03 (~v1(constB10)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[23858, 29427])).
% 39.62/26.03 tff(29429,plain,
% 39.62/26.03 ($false),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[1664, 29428])).
% 39.62/26.03 tff(29430,plain,(~(constB10 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.03 tff(29431,assumption,(constB136 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.03 tff(29432,plain,
% 39.62/26.03 (v1(constB136) <=> v1(sK0_VarCurr)),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29431])).
% 39.62/26.03 tff(29433,plain,
% 39.62/26.03 (v1(sK0_VarCurr) <=> v1(constB136)),
% 39.62/26.03 inference(symmetry,[status(thm)],[29432])).
% 39.62/26.03 tff(29434,plain,
% 39.62/26.03 ((~v1(sK0_VarCurr)) <=> (~v1(constB136))),
% 39.62/26.03 inference(monotonicity,[status(thm)],[29433])).
% 39.62/26.03 tff(29435,plain,
% 39.62/26.03 (~v1(constB136)),
% 39.62/26.03 inference(modus_ponens,[status(thm)],[23858, 29434])).
% 39.62/26.03 tff(29436,plain,
% 39.62/26.03 ($false),
% 39.62/26.03 inference(unit_resolution,[status(thm)],[15723, 29435])).
% 39.62/26.03 tff(29437,plain,(~(constB136 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.03 tff(29438,plain,
% 39.62/26.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB193, bitIndex2)) | (~v145(constB193)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB193, bitIndex2)) | (~v145(constB193)))),
% 39.62/26.03 inference(rewrite,[status(thm)],[])).
% 39.62/26.03 tff(29439,plain,
% 39.62/26.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB193, bitIndex2)) | (~v145(constB193)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29440,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB193, bitIndex2)) | (~v145(constB193))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29439, 29438])).
% 39.62/26.04 tff(29441,plain,
% 39.62/26.04 (~v145(constB193)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29440, 5709, 22704])).
% 39.62/26.04 tff(29442,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB193) | (~v144(constB193)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB193) | (~v144(constB193)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29443,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB193) | (~v144(constB193)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29444,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB193) | (~v144(constB193))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29443, 29442])).
% 39.62/26.04 tff(29445,plain,
% 39.62/26.04 (~v144(constB193)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29444, 17003, 29441])).
% 39.62/26.04 tff(29446,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB193) | (~v142(constB193)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29447,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB193) | (~v142(constB193)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29448,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB193) | (~v142(constB193))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29447, 29446])).
% 39.62/26.04 tff(29449,plain,
% 39.62/26.04 (~v142(constB193)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29448, 17014, 29445])).
% 39.62/26.04 tff(29450,plain,
% 39.62/26.04 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB193)) | (~v138(constB193)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB193)) | (~v138(constB193)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29451,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB193)) | (~v138(constB193)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29452,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB193)) | (~v138(constB193))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29451, 29450])).
% 39.62/26.04 tff(29453,plain,
% 39.62/26.04 (~v138(constB193)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29452, 108, 24831])).
% 39.62/26.04 tff(29454,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB193) | v142(constB193) | (~v135(constB193)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB193) | v142(constB193) | (~v135(constB193)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29455,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB193) | v142(constB193) | (~v135(constB193)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29456,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB193) | v142(constB193) | (~v135(constB193))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29455, 29454])).
% 39.62/26.04 tff(29457,plain,
% 39.62/26.04 (v142(constB193) | (~v135(constB193))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29456, 17028, 29453])).
% 39.62/26.04 tff(29458,plain,
% 39.62/26.04 (~v135(constB193)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29457, 29449])).
% 39.62/26.04 tff(29459,plain,
% 39.62/26.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29460,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29461,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29460, 29459])).
% 39.62/26.04 tff(29462,plain,
% 39.62/26.04 (v135(constB193) | (~v137(constB194))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29461, 17043, 24817])).
% 39.62/26.04 tff(29463,plain,
% 39.62/26.04 (~v137(constB194)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29462, 29458])).
% 39.62/26.04 tff(29464,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB194) | (~v138(constB194)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB194) | (~v138(constB194)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29465,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB194) | (~v138(constB194)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29466,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB194) | (~v138(constB194))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29465, 29464])).
% 39.62/26.04 tff(29467,plain,
% 39.62/26.04 (~v138(constB194)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29466, 17055, 29463])).
% 39.62/26.04 tff(29468,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB194) | (~v144(constB194)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB194) | (~v144(constB194)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29469,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB194) | (~v144(constB194)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29470,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB194) | (~v144(constB194))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 39.62/26.04 tff(29471,plain,
% 39.62/26.04 (~v144(constB194)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29470, 17077, 24856])).
% 39.62/26.04 tff(29472,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB194) | (~v142(constB194)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB194) | (~v142(constB194)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29473,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB194) | (~v142(constB194)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29474,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB194) | (~v142(constB194))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29473, 29472])).
% 39.62/26.04 tff(29475,plain,
% 39.62/26.04 (~v142(constB194)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29474, 17014, 29471])).
% 39.62/26.04 tff(29476,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB194) | v142(constB194) | (~v135(constB194)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB194) | v142(constB194) | (~v135(constB194)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29477,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB194) | v142(constB194) | (~v135(constB194)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29478,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB194) | v142(constB194) | (~v135(constB194))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29477, 29476])).
% 39.62/26.04 tff(29479,plain,
% 39.62/26.04 (v138(constB194) | (~v135(constB194))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29478, 17028, 29475])).
% 39.62/26.04 tff(29480,plain,
% 39.62/26.04 (~v135(constB194)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29479, 29467])).
% 39.62/26.04 tff(29481,plain,
% 39.62/26.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29482,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29483,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29482, 29481])).
% 39.62/26.04 tff(29484,plain,
% 39.62/26.04 (v135(constB194) | (~v137(constB195))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29483, 17043, 24875])).
% 39.62/26.04 tff(29485,plain,
% 39.62/26.04 (~v137(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29484, 29480])).
% 39.62/26.04 tff(29486,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB195) | (~v154(constB195)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB195) | (~v154(constB195)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29487,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB195) | (~v154(constB195)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29488,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB195) | (~v154(constB195))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29487, 29486])).
% 39.62/26.04 tff(29489,plain,
% 39.62/26.04 (~v154(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29488, 17105, 29485])).
% 39.62/26.04 tff(29490,assumption,(v18(constB196)), introduced(assumption)).
% 39.62/26.04 tff(29491,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB196))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29492,plain,
% 39.62/26.04 ($false),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29491, 8, 29490])).
% 39.62/26.04 tff(29493,plain,(~v18(constB196)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.04 tff(29494,plain,
% 39.62/26.04 (v1(constB196) <=> v1(constB196)),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29495,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 39.62/26.04 tff(29496,plain,
% 39.62/26.04 (v1(constB196)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29495, 29494])).
% 39.62/26.04 tff(29497,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29498,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29499,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29498, 29497])).
% 39.62/26.04 tff(29500,plain,
% 39.62/26.04 (v22(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29499, 21, 29496])).
% 39.62/26.04 tff(29501,plain,
% 39.62/26.04 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB196)) | (~v22(constB196)) | v18(constB196))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB196)) | (~v22(constB196)) | v18(constB196))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29502,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB196)) | (~v22(constB196)) | v18(constB196))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29503,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB196)) | (~v22(constB196)) | v18(constB196)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29502, 29501])).
% 39.62/26.04 tff(29504,plain,
% 39.62/26.04 ((~v19(constB196)) | v18(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29503, 35, 29500])).
% 39.62/26.04 tff(29505,plain,
% 39.62/26.04 (~v19(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29504, 29493])).
% 39.62/26.04 tff(29506,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29507,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29508,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29507, 29506])).
% 39.62/26.04 tff(29509,plain,
% 39.62/26.04 (v13(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29508, 50, 29505])).
% 39.62/26.04 tff(29510,plain,
% 39.62/26.04 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29511,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 39.62/26.04 tff(29512,plain,
% 39.62/26.04 (nextState(constB195, constB196)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29511, 29510])).
% 39.62/26.04 tff(29513,plain,
% 39.62/26.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29514,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29515,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29514, 29513])).
% 39.62/26.04 tff(29516,plain,
% 39.62/26.04 ((~v13(constB196)) | v9(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29515, 67, 29512])).
% 39.62/26.04 tff(29517,plain,
% 39.62/26.04 (v9(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29516, 29509])).
% 39.62/26.04 tff(29518,plain,
% 39.62/26.04 ((~v1(constB195)) <=> (~v1(constB195))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29519,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 39.62/26.04 tff(29520,plain,
% 39.62/26.04 (~v1(constB195)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29519, 29518])).
% 39.62/26.04 tff(29521,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v141(constB195))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB195) | (~v9(constB195)) | v141(constB195))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29522,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v141(constB195))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29523,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB195) | (~v9(constB195)) | v141(constB195)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 39.62/26.04 tff(29524,plain,
% 39.62/26.04 ((~v9(constB195)) | v141(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29523, 85, 29520])).
% 39.62/26.04 tff(29525,plain,
% 39.62/26.04 (v141(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29524, 29517])).
% 39.62/26.04 tff(29526,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB195) | (~v141(constB195)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB195) | (~v141(constB195)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29527,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB195) | (~v141(constB195)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29528,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB195) | (~v141(constB195))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29527, 29526])).
% 39.62/26.04 tff(29529,plain,
% 39.62/26.04 (v140(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29528, 97, 29525])).
% 39.62/26.04 tff(29530,plain,
% 39.62/26.04 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB195)) | (~v153(constB195)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB195)) | (~v153(constB195)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29531,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB195)) | (~v153(constB195)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29532,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB195)) | (~v153(constB195))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29531, 29530])).
% 39.62/26.04 tff(29533,plain,
% 39.62/26.04 (~v153(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29532, 17156, 29529])).
% 39.62/26.04 tff(29534,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB195) | v154(constB195) | (~v150(constB195)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB195) | v154(constB195) | (~v150(constB195)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29535,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB195) | v154(constB195) | (~v150(constB195)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29536,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB195) | v154(constB195) | (~v150(constB195))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29535, 29534])).
% 39.62/26.04 tff(29537,plain,
% 39.62/26.04 (v154(constB195) | (~v150(constB195))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29536, 17170, 29533])).
% 39.62/26.04 tff(29538,plain,
% 39.62/26.04 (~v150(constB195)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29537, 29489])).
% 39.62/26.04 tff(29539,plain,
% 39.62/26.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29540,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29541,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29540, 29539])).
% 39.62/26.04 tff(29542,plain,
% 39.62/26.04 (v150(constB195) | (~v152(constB196))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29541, 17185, 29512])).
% 39.62/26.04 tff(29543,plain,
% 39.62/26.04 (~v152(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29542, 29538])).
% 39.62/26.04 tff(29544,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB196) | (~v153(constB196)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB196) | (~v153(constB196)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29545,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB196) | (~v153(constB196)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29546,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB196) | (~v153(constB196))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29545, 29544])).
% 39.62/26.04 tff(29547,plain,
% 39.62/26.04 (~v153(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29546, 17197, 29543])).
% 39.62/26.04 tff(29548,plain,
% 39.62/26.04 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB196)) | (~v141(constB196)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB196)) | (~v141(constB196)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29549,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB196)) | (~v141(constB196)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29550,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB196)) | (~v141(constB196))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29549, 29548])).
% 39.62/26.04 tff(29551,plain,
% 39.62/26.04 (~v141(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29550, 17066, 29496])).
% 39.62/26.04 tff(29552,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB196) | (~v155(constB196)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB196) | (~v155(constB196)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29553,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB196) | (~v155(constB196)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29554,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB196) | (~v155(constB196))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29553, 29552])).
% 39.62/26.04 tff(29555,plain,
% 39.62/26.04 (~v155(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29554, 17212, 29551])).
% 39.62/26.04 tff(29556,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB196) | (~v154(constB196)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB196) | (~v154(constB196)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29557,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB196) | (~v154(constB196)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29558,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB196) | (~v154(constB196))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29557, 29556])).
% 39.62/26.04 tff(29559,plain,
% 39.62/26.04 (~v154(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29558, 17223, 29555])).
% 39.62/26.04 tff(29560,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB196) | v154(constB196) | (~v150(constB196)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB196) | v154(constB196) | (~v150(constB196)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29561,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB196) | v154(constB196) | (~v150(constB196)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29562,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB196) | v154(constB196) | (~v150(constB196))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29561, 29560])).
% 39.62/26.04 tff(29563,plain,
% 39.62/26.04 (v153(constB196) | (~v150(constB196))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29562, 17170, 29559])).
% 39.62/26.04 tff(29564,plain,
% 39.62/26.04 (~v150(constB196)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29563, 29547])).
% 39.62/26.04 tff(29565,plain,
% 39.62/26.04 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29566,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 39.62/26.04 tff(29567,plain,
% 39.62/26.04 (nextState(constB196, constB197)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29566, 29565])).
% 39.62/26.04 tff(29568,plain,
% 39.62/26.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29569,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29570,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29569, 29568])).
% 39.62/26.04 tff(29571,plain,
% 39.62/26.04 (v150(constB196) | (~v152(constB197))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29570, 17185, 29567])).
% 39.62/26.04 tff(29572,plain,
% 39.62/26.04 (~v152(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29571, 29564])).
% 39.62/26.04 tff(29573,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB197) | (~v164(constB197)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB197) | (~v164(constB197)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29574,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB197) | (~v164(constB197)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29575,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB197) | (~v164(constB197))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29574, 29573])).
% 39.62/26.04 tff(29576,plain,
% 39.62/26.04 (~v164(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29575, 17247, 29572])).
% 39.62/26.04 tff(29577,assumption,(v18(constB198)), introduced(assumption)).
% 39.62/26.04 tff(29578,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB198))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29579,plain,
% 39.62/26.04 ($false),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29578, 8, 29577])).
% 39.62/26.04 tff(29580,plain,(~v18(constB198)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.04 tff(29581,plain,
% 39.62/26.04 (v1(constB198) <=> v1(constB198)),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29582,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 39.62/26.04 tff(29583,plain,
% 39.62/26.04 (v1(constB198)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29582, 29581])).
% 39.62/26.04 tff(29584,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29585,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29586,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29585, 29584])).
% 39.62/26.04 tff(29587,plain,
% 39.62/26.04 (v22(constB198)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29586, 21, 29583])).
% 39.62/26.04 tff(29588,plain,
% 39.62/26.04 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB198)) | (~v22(constB198)) | v18(constB198))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB198)) | (~v22(constB198)) | v18(constB198))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29589,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB198)) | (~v22(constB198)) | v18(constB198))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29590,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB198)) | (~v22(constB198)) | v18(constB198)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29589, 29588])).
% 39.62/26.04 tff(29591,plain,
% 39.62/26.04 ((~v19(constB198)) | v18(constB198)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29590, 35, 29587])).
% 39.62/26.04 tff(29592,plain,
% 39.62/26.04 (~v19(constB198)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29591, 29580])).
% 39.62/26.04 tff(29593,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29594,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29595,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29594, 29593])).
% 39.62/26.04 tff(29596,plain,
% 39.62/26.04 (v13(constB198)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29595, 50, 29592])).
% 39.62/26.04 tff(29597,plain,
% 39.62/26.04 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29598,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 39.62/26.04 tff(29599,plain,
% 39.62/26.04 (nextState(constB197, constB198)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29598, 29597])).
% 39.62/26.04 tff(29600,plain,
% 39.62/26.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29601,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29602,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29601, 29600])).
% 39.62/26.04 tff(29603,plain,
% 39.62/26.04 ((~v13(constB198)) | v9(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29602, 67, 29599])).
% 39.62/26.04 tff(29604,plain,
% 39.62/26.04 (v9(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29603, 29596])).
% 39.62/26.04 tff(29605,plain,
% 39.62/26.04 ((~v1(constB197)) <=> (~v1(constB197))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29606,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 39.62/26.04 tff(29607,plain,
% 39.62/26.04 (~v1(constB197)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29606, 29605])).
% 39.62/26.04 tff(29608,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v141(constB197))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB197) | (~v9(constB197)) | v141(constB197))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29609,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v141(constB197))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29610,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB197) | (~v9(constB197)) | v141(constB197)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29609, 29608])).
% 39.62/26.04 tff(29611,plain,
% 39.62/26.04 ((~v9(constB197)) | v141(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29610, 85, 29607])).
% 39.62/26.04 tff(29612,plain,
% 39.62/26.04 (v141(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29611, 29604])).
% 39.62/26.04 tff(29613,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB197) | (~v141(constB197)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB197) | (~v141(constB197)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29614,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB197) | (~v141(constB197)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29615,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB197) | (~v141(constB197))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29614, 29613])).
% 39.62/26.04 tff(29616,plain,
% 39.62/26.04 (v140(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29615, 97, 29612])).
% 39.62/26.04 tff(29617,plain,
% 39.62/26.04 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB197)) | (~v163(constB197)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB197)) | (~v163(constB197)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29618,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB197)) | (~v163(constB197)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29619,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB197)) | (~v163(constB197))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29618, 29617])).
% 39.62/26.04 tff(29620,plain,
% 39.62/26.04 (~v163(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29619, 17298, 29616])).
% 39.62/26.04 tff(29621,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB197)) | v164(constB197) | v163(constB197))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB197)) | v164(constB197) | v163(constB197))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29622,plain,
% 39.62/26.04 ((v164(constB197) | v163(constB197) | (~v160(constB197))) <=> ((~v160(constB197)) | v164(constB197) | v163(constB197))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29623,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB197) | v163(constB197) | (~v160(constB197)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB197)) | v164(constB197) | v163(constB197)))),
% 39.62/26.04 inference(monotonicity,[status(thm)],[29622])).
% 39.62/26.04 tff(29624,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB197) | v163(constB197) | (~v160(constB197)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB197)) | v164(constB197) | v163(constB197))),
% 39.62/26.04 inference(transitivity,[status(thm)],[29623, 29621])).
% 39.62/26.04 tff(29625,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB197) | v163(constB197) | (~v160(constB197)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29626,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB197)) | v164(constB197) | v163(constB197)),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29625, 29624])).
% 39.62/26.04 tff(29627,plain,
% 39.62/26.04 ((~v160(constB197)) | v164(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29626, 17312, 29620])).
% 39.62/26.04 tff(29628,plain,
% 39.62/26.04 (~v160(constB197)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29627, 29576])).
% 39.62/26.04 tff(29629,plain,
% 39.62/26.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29630,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29631,plain,
% 39.62/26.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29630, 29629])).
% 39.62/26.04 tff(29632,plain,
% 39.62/26.04 (v160(constB197) | (~v162(constB198))),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29631, 17330, 29599])).
% 39.62/26.04 tff(29633,plain,
% 39.62/26.04 (~v162(constB198)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29632, 29628])).
% 39.62/26.04 tff(29634,plain,
% 39.62/26.04 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB198) | (~v163(constB198)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB198) | (~v163(constB198)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29635,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB198) | (~v163(constB198)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29636,plain,
% 39.62/26.04 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB198) | (~v163(constB198))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29635, 29634])).
% 39.62/26.04 tff(29637,plain,
% 39.62/26.04 (~v163(constB198)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29636, 17342, 29633])).
% 39.62/26.04 tff(29638,plain,
% 39.62/26.04 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB198)) | (~v141(constB198)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB198)) | (~v141(constB198)))),
% 39.62/26.04 inference(rewrite,[status(thm)],[])).
% 39.62/26.04 tff(29639,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB198)) | (~v141(constB198)))),
% 39.62/26.04 inference(quant_inst,[status(thm)],[])).
% 39.62/26.04 tff(29640,plain,
% 39.62/26.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB198)) | (~v141(constB198))),
% 39.62/26.04 inference(modus_ponens,[status(thm)],[29639, 29638])).
% 39.62/26.04 tff(29641,plain,
% 39.62/26.04 (~v141(constB198)),
% 39.62/26.04 inference(unit_resolution,[status(thm)],[29640, 17066, 29583])).
% 39.62/26.05 tff(29642,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB198) | (~v155(constB198)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB198) | (~v155(constB198)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29643,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB198) | (~v155(constB198)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29644,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB198) | (~v155(constB198))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29643, 29642])).
% 39.62/26.05 tff(29645,plain,
% 39.62/26.05 (~v155(constB198)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29644, 17212, 29641])).
% 39.62/26.05 tff(29646,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB198) | (~v164(constB198)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB198) | (~v164(constB198)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29647,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB198) | (~v164(constB198)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29648,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB198) | (~v164(constB198))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29647, 29646])).
% 39.62/26.05 tff(29649,plain,
% 39.62/26.05 (~v164(constB198)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29648, 17361, 29645])).
% 39.62/26.05 tff(29650,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB198)) | v164(constB198) | v163(constB198))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB198)) | v164(constB198) | v163(constB198))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29651,plain,
% 39.62/26.05 ((v164(constB198) | v163(constB198) | (~v160(constB198))) <=> ((~v160(constB198)) | v164(constB198) | v163(constB198))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29652,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB198) | v163(constB198) | (~v160(constB198)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB198)) | v164(constB198) | v163(constB198)))),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29651])).
% 39.62/26.05 tff(29653,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB198) | v163(constB198) | (~v160(constB198)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB198)) | v164(constB198) | v163(constB198))),
% 39.62/26.05 inference(transitivity,[status(thm)],[29652, 29650])).
% 39.62/26.05 tff(29654,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB198) | v163(constB198) | (~v160(constB198)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29655,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB198)) | v164(constB198) | v163(constB198)),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29654, 29653])).
% 39.62/26.05 tff(29656,plain,
% 39.62/26.05 ((~v160(constB198)) | v163(constB198)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29655, 17312, 29649])).
% 39.62/26.05 tff(29657,plain,
% 39.62/26.05 (~v160(constB198)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29656, 29637])).
% 39.62/26.05 tff(29658,plain,
% 39.62/26.05 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29659,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 39.62/26.05 tff(29660,plain,
% 39.62/26.05 (nextState(constB198, constB199)),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29659, 29658])).
% 39.62/26.05 tff(29661,plain,
% 39.62/26.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29662,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29663,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29662, 29661])).
% 39.62/26.05 tff(29664,plain,
% 39.62/26.05 (v160(constB198) | (~v162(constB199))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29663, 17330, 29660])).
% 39.62/26.05 tff(29665,plain,
% 39.62/26.05 (~v162(constB199)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29664, 29657])).
% 39.62/26.05 tff(29666,assumption,(constB199 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.05 tff(29667,plain,
% 39.62/26.05 (v162(constB199) <=> v162(sK0_VarCurr)),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29666])).
% 39.62/26.05 tff(29668,plain,
% 39.62/26.05 (v162(sK0_VarCurr) <=> v162(constB199)),
% 39.62/26.05 inference(symmetry,[status(thm)],[29667])).
% 39.62/26.05 tff(29669,plain,
% 39.62/26.05 (v162(constB199)),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[17398, 29668])).
% 39.62/26.05 tff(29670,assumption,(~v162(constB199)), introduced(assumption)).
% 39.62/26.05 tff(29671,plain,
% 39.62/26.05 ($false),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29670, 29669])).
% 39.62/26.05 tff(29672,plain,((~(constB199 = sK0_VarCurr)) | v162(constB199)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.05 tff(29673,plain,
% 39.62/26.05 (~(constB199 = sK0_VarCurr)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29672, 29665])).
% 39.62/26.05 tff(29674,plain,
% 39.62/26.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB191, bitIndex1)) | (~v145(constB191)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB191, bitIndex1)) | (~v145(constB191)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29675,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB191, bitIndex1)) | (~v145(constB191)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29676,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB191, bitIndex1)) | (~v145(constB191))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29675, 29674])).
% 39.62/26.05 tff(29677,plain,
% 39.62/26.05 (~v145(constB191)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29676, 1116, 22471])).
% 39.62/26.05 tff(29678,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB191) | (~v144(constB191)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB191) | (~v144(constB191)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29679,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB191) | (~v144(constB191)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29680,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB191) | (~v144(constB191))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29679, 29678])).
% 39.62/26.05 tff(29681,plain,
% 39.62/26.05 (~v144(constB191)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29680, 17003, 29677])).
% 39.62/26.05 tff(29682,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB191) | (~v142(constB191)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB191) | (~v142(constB191)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29683,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB191) | (~v142(constB191)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29684,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB191) | (~v142(constB191))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29683, 29682])).
% 39.62/26.05 tff(29685,plain,
% 39.62/26.05 (~v142(constB191)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29684, 17014, 29681])).
% 39.62/26.05 tff(29686,plain,
% 39.62/26.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB191)) | (~v140(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB191)) | (~v140(constB191)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29687,plain,
% 39.62/26.05 (((~v140(constB191)) | (~v138(constB191))) <=> ((~v138(constB191)) | (~v140(constB191)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29688,plain,
% 39.62/26.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB191)) | (~v138(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB191)) | (~v140(constB191))))),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29687])).
% 39.62/26.05 tff(29689,plain,
% 39.62/26.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB191)) | (~v138(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB191)) | (~v140(constB191)))),
% 39.62/26.05 inference(transitivity,[status(thm)],[29688, 29686])).
% 39.62/26.05 tff(29690,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB191)) | (~v138(constB191)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29691,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB191)) | (~v140(constB191))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29690, 29689])).
% 39.62/26.05 tff(29692,plain,
% 39.62/26.05 (~v138(constB191)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29691, 108, 24750])).
% 39.62/26.05 tff(29693,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB191) | v142(constB191) | (~v135(constB191)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB191) | v142(constB191) | (~v135(constB191)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29694,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB191) | v142(constB191) | (~v135(constB191)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29695,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB191) | v142(constB191) | (~v135(constB191))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29694, 29693])).
% 39.62/26.05 tff(29696,plain,
% 39.62/26.05 (v142(constB191) | (~v135(constB191))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29695, 17028, 29692])).
% 39.62/26.05 tff(29697,plain,
% 39.62/26.05 (~v135(constB191)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29696, 29685])).
% 39.62/26.05 tff(29698,plain,
% 39.62/26.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29699,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29700,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29699, 29698])).
% 39.62/26.05 tff(29701,plain,
% 39.62/26.05 (v135(constB191) | (~v137(constB192))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29700, 17043, 22537])).
% 39.62/26.05 tff(29702,plain,
% 39.62/26.05 (~v137(constB192)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29701, 29697])).
% 39.62/26.05 tff(29703,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB192) | (~v138(constB192)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB192) | (~v138(constB192)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29704,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB192) | (~v138(constB192)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29705,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB192) | (~v138(constB192))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29704, 29703])).
% 39.62/26.05 tff(29706,plain,
% 39.62/26.05 (~v138(constB192)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29705, 17055, 29702])).
% 39.62/26.05 tff(29707,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB192) | (~v144(constB192)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB192) | (~v144(constB192)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29708,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB192) | (~v144(constB192)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29709,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB192) | (~v144(constB192))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 39.62/26.05 tff(29710,plain,
% 39.62/26.05 (~v144(constB192)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29709, 17077, 24772])).
% 39.62/26.05 tff(29711,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB192) | (~v142(constB192)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB192) | (~v142(constB192)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29712,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB192) | (~v142(constB192)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29713,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB192) | (~v142(constB192))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29712, 29711])).
% 39.62/26.05 tff(29714,plain,
% 39.62/26.05 (~v142(constB192)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29713, 17014, 29710])).
% 39.62/26.05 tff(29715,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB192) | v142(constB192) | (~v135(constB192)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB192) | v142(constB192) | (~v135(constB192)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29716,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB192) | v142(constB192) | (~v135(constB192)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29717,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB192) | v142(constB192) | (~v135(constB192))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 39.62/26.05 tff(29718,plain,
% 39.62/26.05 (v138(constB192) | (~v135(constB192))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29717, 17028, 29714])).
% 39.62/26.05 tff(29719,plain,
% 39.62/26.05 (~v135(constB192)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29718, 29706])).
% 39.62/26.05 tff(29720,plain,
% 39.62/26.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29721,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29722,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29721, 29720])).
% 39.62/26.05 tff(29723,plain,
% 39.62/26.05 (v135(constB192) | (~v137(constB193))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29722, 17043, 22652])).
% 39.62/26.05 tff(29724,plain,
% 39.62/26.05 (~v137(constB193)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29723, 29719])).
% 39.62/26.05 tff(29725,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB193) | (~v154(constB193)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB193) | (~v154(constB193)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29726,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB193) | (~v154(constB193)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29727,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB193) | (~v154(constB193))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29726, 29725])).
% 39.62/26.05 tff(29728,plain,
% 39.62/26.05 (~v154(constB193)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29727, 17105, 29724])).
% 39.62/26.05 tff(29729,plain,
% 39.62/26.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB193)) | (~v153(constB193)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB193)) | (~v153(constB193)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29730,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB193)) | (~v153(constB193)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29731,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB193)) | (~v153(constB193))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29730, 29729])).
% 39.62/26.05 tff(29732,plain,
% 39.62/26.05 (~v153(constB193)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29731, 17156, 24831])).
% 39.62/26.05 tff(29733,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB193) | v154(constB193) | (~v150(constB193)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB193) | v154(constB193) | (~v150(constB193)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29734,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB193) | v154(constB193) | (~v150(constB193)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29735,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB193) | v154(constB193) | (~v150(constB193))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29734, 29733])).
% 39.62/26.05 tff(29736,plain,
% 39.62/26.05 (v154(constB193) | (~v150(constB193))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29735, 17170, 29732])).
% 39.62/26.05 tff(29737,plain,
% 39.62/26.05 (~v150(constB193)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29736, 29728])).
% 39.62/26.05 tff(29738,plain,
% 39.62/26.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB193, constB194)) | v150(constB193) | (~v152(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB193, constB194)) | v150(constB193) | (~v152(constB194)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29739,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB193, constB194)) | v150(constB193) | (~v152(constB194)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29740,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB193, constB194)) | v150(constB193) | (~v152(constB194))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29739, 29738])).
% 39.62/26.05 tff(29741,plain,
% 39.62/26.05 (v150(constB193) | (~v152(constB194))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29740, 17185, 24817])).
% 39.62/26.05 tff(29742,plain,
% 39.62/26.05 (~v152(constB194)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29741, 29737])).
% 39.62/26.05 tff(29743,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB194) | (~v153(constB194)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB194) | (~v153(constB194)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29744,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB194) | (~v153(constB194)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29745,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB194) | (~v153(constB194))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29744, 29743])).
% 39.62/26.05 tff(29746,plain,
% 39.62/26.05 (~v153(constB194)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29745, 17197, 29742])).
% 39.62/26.05 tff(29747,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB194) | (~v154(constB194)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB194) | (~v154(constB194)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29748,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB194) | (~v154(constB194)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29749,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB194) | (~v154(constB194))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29748, 29747])).
% 39.62/26.05 tff(29750,plain,
% 39.62/26.05 (~v154(constB194)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29749, 17223, 24860])).
% 39.62/26.05 tff(29751,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB194) | v154(constB194) | (~v150(constB194)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB194) | v154(constB194) | (~v150(constB194)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29752,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB194) | v154(constB194) | (~v150(constB194)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29753,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB194) | v154(constB194) | (~v150(constB194))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29752, 29751])).
% 39.62/26.05 tff(29754,plain,
% 39.62/26.05 (v153(constB194) | (~v150(constB194))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29753, 17170, 29750])).
% 39.62/26.05 tff(29755,plain,
% 39.62/26.05 (~v150(constB194)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29754, 29746])).
% 39.62/26.05 tff(29756,plain,
% 39.62/26.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB194, constB195)) | v150(constB194) | (~v152(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB194, constB195)) | v150(constB194) | (~v152(constB195)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29757,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB194, constB195)) | v150(constB194) | (~v152(constB195)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29758,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB194, constB195)) | v150(constB194) | (~v152(constB195))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29757, 29756])).
% 39.62/26.05 tff(29759,plain,
% 39.62/26.05 (v150(constB194) | (~v152(constB195))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29758, 17185, 24875])).
% 39.62/26.05 tff(29760,plain,
% 39.62/26.05 (~v152(constB195)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29759, 29755])).
% 39.62/26.05 tff(29761,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB195) | (~v164(constB195)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB195) | (~v164(constB195)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29762,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB195) | (~v164(constB195)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29763,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB195) | (~v164(constB195))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29762, 29761])).
% 39.62/26.05 tff(29764,plain,
% 39.62/26.05 (~v164(constB195)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29763, 17247, 29760])).
% 39.62/26.05 tff(29765,plain,
% 39.62/26.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB195)) | (~v163(constB195)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB195)) | (~v163(constB195)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29766,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB195)) | (~v163(constB195)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29767,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB195)) | (~v163(constB195))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29766, 29765])).
% 39.62/26.05 tff(29768,plain,
% 39.62/26.05 (~v163(constB195)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29767, 17298, 29529])).
% 39.62/26.05 tff(29769,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB195)) | v163(constB195) | v164(constB195))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB195)) | v163(constB195) | v164(constB195))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29770,plain,
% 39.62/26.05 ((v164(constB195) | v163(constB195) | (~v160(constB195))) <=> ((~v160(constB195)) | v163(constB195) | v164(constB195))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29771,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB195) | v163(constB195) | (~v160(constB195)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB195)) | v163(constB195) | v164(constB195)))),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29770])).
% 39.62/26.05 tff(29772,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB195) | v163(constB195) | (~v160(constB195)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB195)) | v163(constB195) | v164(constB195))),
% 39.62/26.05 inference(transitivity,[status(thm)],[29771, 29769])).
% 39.62/26.05 tff(29773,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB195) | v163(constB195) | (~v160(constB195)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29774,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB195)) | v163(constB195) | v164(constB195)),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29773, 29772])).
% 39.62/26.05 tff(29775,plain,
% 39.62/26.05 ((~v160(constB195)) | v164(constB195)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29774, 17312, 29768])).
% 39.62/26.05 tff(29776,plain,
% 39.62/26.05 (~v160(constB195)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29775, 29764])).
% 39.62/26.05 tff(29777,plain,
% 39.62/26.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB195, constB196)) | v160(constB195) | (~v162(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB195, constB196)) | v160(constB195) | (~v162(constB196)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29778,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB195, constB196)) | v160(constB195) | (~v162(constB196)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29779,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB195, constB196)) | v160(constB195) | (~v162(constB196))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29778, 29777])).
% 39.62/26.05 tff(29780,plain,
% 39.62/26.05 (v160(constB195) | (~v162(constB196))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29779, 17330, 29512])).
% 39.62/26.05 tff(29781,plain,
% 39.62/26.05 (~v162(constB196)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29780, 29776])).
% 39.62/26.05 tff(29782,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB196) | (~v163(constB196)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB196) | (~v163(constB196)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29783,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB196) | (~v163(constB196)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29784,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB196) | (~v163(constB196))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 39.62/26.05 tff(29785,plain,
% 39.62/26.05 (~v163(constB196)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29784, 17342, 29781])).
% 39.62/26.05 tff(29786,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB196) | (~v164(constB196)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB196) | (~v164(constB196)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29787,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB196) | (~v164(constB196)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29788,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB196) | (~v164(constB196))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29787, 29786])).
% 39.62/26.05 tff(29789,plain,
% 39.62/26.05 (~v164(constB196)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29788, 17361, 29555])).
% 39.62/26.05 tff(29790,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB196)) | v164(constB196) | v163(constB196))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB196)) | v164(constB196) | v163(constB196))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29791,plain,
% 39.62/26.05 ((v164(constB196) | v163(constB196) | (~v160(constB196))) <=> ((~v160(constB196)) | v164(constB196) | v163(constB196))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29792,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB196) | v163(constB196) | (~v160(constB196)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB196)) | v164(constB196) | v163(constB196)))),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29791])).
% 39.62/26.05 tff(29793,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB196) | v163(constB196) | (~v160(constB196)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB196)) | v164(constB196) | v163(constB196))),
% 39.62/26.05 inference(transitivity,[status(thm)],[29792, 29790])).
% 39.62/26.05 tff(29794,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB196) | v163(constB196) | (~v160(constB196)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29795,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB196)) | v164(constB196) | v163(constB196)),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29794, 29793])).
% 39.62/26.05 tff(29796,plain,
% 39.62/26.05 ((~v160(constB196)) | v163(constB196)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29795, 17312, 29789])).
% 39.62/26.05 tff(29797,plain,
% 39.62/26.05 (~v160(constB196)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29796, 29785])).
% 39.62/26.05 tff(29798,plain,
% 39.62/26.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB196, constB197)) | v160(constB196) | (~v162(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB196, constB197)) | v160(constB196) | (~v162(constB197)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29799,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB196, constB197)) | v160(constB196) | (~v162(constB197)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29800,plain,
% 39.62/26.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB196, constB197)) | v160(constB196) | (~v162(constB197))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29799, 29798])).
% 39.62/26.05 tff(29801,plain,
% 39.62/26.05 (v160(constB196) | (~v162(constB197))),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29800, 17330, 29567])).
% 39.62/26.05 tff(29802,plain,
% 39.62/26.05 (~v162(constB197)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29801, 29797])).
% 39.62/26.05 tff(29803,assumption,(constB197 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.05 tff(29804,plain,
% 39.62/26.05 (v162(constB197) <=> v162(sK0_VarCurr)),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29803])).
% 39.62/26.05 tff(29805,plain,
% 39.62/26.05 (v162(sK0_VarCurr) <=> v162(constB197)),
% 39.62/26.05 inference(symmetry,[status(thm)],[29804])).
% 39.62/26.05 tff(29806,plain,
% 39.62/26.05 (v162(constB197)),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[17398, 29805])).
% 39.62/26.05 tff(29807,assumption,(~v162(constB197)), introduced(assumption)).
% 39.62/26.05 tff(29808,plain,
% 39.62/26.05 ($false),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29807, 29806])).
% 39.62/26.05 tff(29809,plain,((~(constB197 = sK0_VarCurr)) | v162(constB197)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.05 tff(29810,plain,
% 39.62/26.05 (~(constB197 = sK0_VarCurr)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29809, 29802])).
% 39.62/26.05 tff(29811,assumption,(constB176 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.05 tff(29812,plain,
% 39.62/26.05 (v1(constB176) <=> v1(sK0_VarCurr)),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29811])).
% 39.62/26.05 tff(29813,plain,
% 39.62/26.05 (v1(sK0_VarCurr) <=> v1(constB176)),
% 39.62/26.05 inference(symmetry,[status(thm)],[29812])).
% 39.62/26.05 tff(29814,plain,
% 39.62/26.05 ((~v1(sK0_VarCurr)) <=> (~v1(constB176))),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29813])).
% 39.62/26.05 tff(29815,plain,
% 39.62/26.05 (~v1(constB176)),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[23858, 29814])).
% 39.62/26.05 tff(29816,plain,
% 39.62/26.05 ($false),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[20980, 29815])).
% 39.62/26.05 tff(29817,plain,(~(constB176 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.05 tff(29818,assumption,(constB127 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.05 tff(29819,plain,
% 39.62/26.05 (v162(constB127) <=> v162(sK0_VarCurr)),
% 39.62/26.05 inference(monotonicity,[status(thm)],[29818])).
% 39.62/26.05 tff(29820,plain,
% 39.62/26.05 (v162(sK0_VarCurr) <=> v162(constB127)),
% 39.62/26.05 inference(symmetry,[status(thm)],[29819])).
% 39.62/26.05 tff(29821,plain,
% 39.62/26.05 (v162(constB127)),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[17398, 29820])).
% 39.62/26.05 tff(29822,plain,
% 39.62/26.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v145(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v145(constB121)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29823,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v145(constB121)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29824,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v145(constB121))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29823, 29822])).
% 39.62/26.05 tff(29825,plain,
% 39.62/26.05 (~v145(constB121)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29824, 1116, 14204])).
% 39.62/26.05 tff(29826,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB121) | (~v144(constB121)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB121) | (~v144(constB121)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29827,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB121) | (~v144(constB121)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29828,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB121) | (~v144(constB121))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29827, 29826])).
% 39.62/26.05 tff(29829,plain,
% 39.62/26.05 (~v144(constB121)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29828, 17003, 29825])).
% 39.62/26.05 tff(29830,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB121) | (~v142(constB121)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29831,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB121) | (~v142(constB121)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29832,plain,
% 39.62/26.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB121) | (~v142(constB121))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29831, 29830])).
% 39.62/26.05 tff(29833,plain,
% 39.62/26.05 (~v142(constB121)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29832, 17014, 29829])).
% 39.62/26.05 tff(29834,plain,
% 39.62/26.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB121)) | (~v138(constB121)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB121)) | (~v138(constB121)))),
% 39.62/26.05 inference(rewrite,[status(thm)],[])).
% 39.62/26.05 tff(29835,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB121)) | (~v138(constB121)))),
% 39.62/26.05 inference(quant_inst,[status(thm)],[])).
% 39.62/26.05 tff(29836,plain,
% 39.62/26.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB121)) | (~v138(constB121))),
% 39.62/26.05 inference(modus_ponens,[status(thm)],[29835, 29834])).
% 39.62/26.05 tff(29837,plain,
% 39.62/26.05 (~v138(constB121)),
% 39.62/26.05 inference(unit_resolution,[status(thm)],[29836, 108, 24017])).
% 39.62/26.05 tff(29838,plain,
% 39.62/26.05 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB121) | v142(constB121) | (~v135(constB121)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB121) | v142(constB121) | (~v135(constB121)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29839,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB121) | v142(constB121) | (~v135(constB121)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29840,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB121) | v142(constB121) | (~v135(constB121))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29839, 29838])).
% 39.62/26.06 tff(29841,plain,
% 39.62/26.06 (v142(constB121) | (~v135(constB121))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29840, 17028, 29837])).
% 39.62/26.06 tff(29842,plain,
% 39.62/26.06 (~v135(constB121)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29841, 29833])).
% 39.62/26.06 tff(29843,plain,
% 39.62/26.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29844,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29845,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29844, 29843])).
% 39.62/26.06 tff(29846,plain,
% 39.62/26.06 (v135(constB121) | (~v137(constB122))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29845, 17043, 14274])).
% 39.62/26.06 tff(29847,plain,
% 39.62/26.06 (~v137(constB122)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29846, 29842])).
% 39.62/26.06 tff(29848,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB122) | (~v138(constB122)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB122) | (~v138(constB122)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29849,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB122) | (~v138(constB122)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29850,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB122) | (~v138(constB122))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29849, 29848])).
% 39.62/26.06 tff(29851,plain,
% 39.62/26.06 (~v138(constB122)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29850, 17055, 29847])).
% 39.62/26.06 tff(29852,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB122) | (~v144(constB122)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB122) | (~v144(constB122)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29853,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB122) | (~v144(constB122)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29854,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB122) | (~v144(constB122))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29853, 29852])).
% 39.62/26.06 tff(29855,plain,
% 39.62/26.06 (~v144(constB122)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29854, 17077, 24039])).
% 39.62/26.06 tff(29856,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB122) | (~v142(constB122)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB122) | (~v142(constB122)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29857,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB122) | (~v142(constB122)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29858,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB122) | (~v142(constB122))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29857, 29856])).
% 39.62/26.06 tff(29859,plain,
% 39.62/26.06 (~v142(constB122)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29858, 17014, 29855])).
% 39.62/26.06 tff(29860,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB122) | v142(constB122) | (~v135(constB122)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB122) | v142(constB122) | (~v135(constB122)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29861,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB122) | v142(constB122) | (~v135(constB122)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29862,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB122) | v142(constB122) | (~v135(constB122))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29861, 29860])).
% 39.62/26.06 tff(29863,plain,
% 39.62/26.06 (v138(constB122) | (~v135(constB122))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29862, 17028, 29859])).
% 39.62/26.06 tff(29864,plain,
% 39.62/26.06 (~v135(constB122)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29863, 29851])).
% 39.62/26.06 tff(29865,plain,
% 39.62/26.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29866,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29867,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29866, 29865])).
% 39.62/26.06 tff(29868,plain,
% 39.62/26.06 (v135(constB122) | (~v137(constB123))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29867, 17043, 14336])).
% 39.62/26.06 tff(29869,plain,
% 39.62/26.06 (~v137(constB123)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29868, 29864])).
% 39.62/26.06 tff(29870,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB123) | (~v154(constB123)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB123) | (~v154(constB123)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29871,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB123) | (~v154(constB123)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29872,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB123) | (~v154(constB123))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29871, 29870])).
% 39.62/26.06 tff(29873,plain,
% 39.62/26.06 (~v154(constB123)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29872, 17105, 29869])).
% 39.62/26.06 tff(29874,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB123) | (~v153(constB123)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB123) | (~v153(constB123)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29875,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB123) | (~v153(constB123)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29876,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB123) | (~v153(constB123))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29875, 29874])).
% 39.62/26.06 tff(29877,plain,
% 39.62/26.06 (~v153(constB123)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29876, 17197, 24057])).
% 39.62/26.06 tff(29878,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB123) | v154(constB123) | (~v150(constB123)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB123) | v154(constB123) | (~v150(constB123)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29879,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB123) | v154(constB123) | (~v150(constB123)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29880,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB123) | v154(constB123) | (~v150(constB123))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 39.62/26.06 tff(29881,plain,
% 39.62/26.06 (v154(constB123) | (~v150(constB123))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29880, 17170, 29877])).
% 39.62/26.06 tff(29882,plain,
% 39.62/26.06 (~v150(constB123)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29881, 29873])).
% 39.62/26.06 tff(29883,plain,
% 39.62/26.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29884,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29885,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29884, 29883])).
% 39.62/26.06 tff(29886,plain,
% 39.62/26.06 (v150(constB123) | (~v152(constB124))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29885, 17185, 14457])).
% 39.62/26.06 tff(29887,plain,
% 39.62/26.06 (~v152(constB124)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29886, 29882])).
% 39.62/26.06 tff(29888,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB124) | (~v153(constB124)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB124) | (~v153(constB124)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29889,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB124) | (~v153(constB124)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29890,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB124) | (~v153(constB124))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29889, 29888])).
% 39.62/26.06 tff(29891,plain,
% 39.62/26.06 (~v153(constB124)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29890, 17197, 29887])).
% 39.62/26.06 tff(29892,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB124) | (~v154(constB124)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB124) | (~v154(constB124)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29893,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB124) | (~v154(constB124)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29894,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB124) | (~v154(constB124))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29893, 29892])).
% 39.62/26.06 tff(29895,plain,
% 39.62/26.06 (~v154(constB124)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29894, 17223, 24086])).
% 39.62/26.06 tff(29896,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB124) | v154(constB124) | (~v150(constB124)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB124) | v154(constB124) | (~v150(constB124)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29897,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB124) | v154(constB124) | (~v150(constB124)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29898,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB124) | v154(constB124) | (~v150(constB124))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29897, 29896])).
% 39.62/26.06 tff(29899,plain,
% 39.62/26.06 (v153(constB124) | (~v150(constB124))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29898, 17170, 29895])).
% 39.62/26.06 tff(29900,plain,
% 39.62/26.06 (~v150(constB124)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29899, 29891])).
% 39.62/26.06 tff(29901,plain,
% 39.62/26.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29902,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29903,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29902, 29901])).
% 39.62/26.06 tff(29904,plain,
% 39.62/26.06 (v150(constB124) | (~v152(constB125))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29903, 17185, 14519])).
% 39.62/26.06 tff(29905,plain,
% 39.62/26.06 (~v152(constB125)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29904, 29900])).
% 39.62/26.06 tff(29906,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB125) | (~v164(constB125)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB125) | (~v164(constB125)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29907,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB125) | (~v164(constB125)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29908,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB125) | (~v164(constB125))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29907, 29906])).
% 39.62/26.06 tff(29909,plain,
% 39.62/26.06 (~v164(constB125)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29908, 17247, 29905])).
% 39.62/26.06 tff(29910,plain,
% 39.62/26.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB125)) | (~v163(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB125)) | (~v163(constB125)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29911,plain,
% 39.62/26.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB125)) | (~v163(constB125)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29912,plain,
% 39.62/26.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB125)) | (~v163(constB125))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29911, 29910])).
% 39.62/26.06 tff(29913,plain,
% 39.62/26.06 (~v163(constB125)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29912, 17298, 29236])).
% 39.62/26.06 tff(29914,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB125)) | v164(constB125) | v163(constB125))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB125)) | v164(constB125) | v163(constB125))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29915,plain,
% 39.62/26.06 ((v164(constB125) | v163(constB125) | (~v160(constB125))) <=> ((~v160(constB125)) | v164(constB125) | v163(constB125))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29916,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB125) | v163(constB125) | (~v160(constB125)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB125)) | v164(constB125) | v163(constB125)))),
% 39.62/26.06 inference(monotonicity,[status(thm)],[29915])).
% 39.62/26.06 tff(29917,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB125) | v163(constB125) | (~v160(constB125)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB125)) | v164(constB125) | v163(constB125))),
% 39.62/26.06 inference(transitivity,[status(thm)],[29916, 29914])).
% 39.62/26.06 tff(29918,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB125) | v163(constB125) | (~v160(constB125)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29919,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB125)) | v164(constB125) | v163(constB125)),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29918, 29917])).
% 39.62/26.06 tff(29920,plain,
% 39.62/26.06 ((~v160(constB125)) | v164(constB125)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29919, 17312, 29913])).
% 39.62/26.06 tff(29921,plain,
% 39.62/26.06 (~v160(constB125)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29920, 29909])).
% 39.62/26.06 tff(29922,plain,
% 39.62/26.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29923,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29924,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29923, 29922])).
% 39.62/26.06 tff(29925,plain,
% 39.62/26.06 (v160(constB125) | (~v162(constB126))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29924, 17330, 14632])).
% 39.62/26.06 tff(29926,plain,
% 39.62/26.06 (~v162(constB126)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29925, 29921])).
% 39.62/26.06 tff(29927,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB126) | (~v163(constB126)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB126) | (~v163(constB126)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29928,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB126) | (~v163(constB126)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29929,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB126) | (~v163(constB126))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29928, 29927])).
% 39.62/26.06 tff(29930,plain,
% 39.62/26.06 (~v163(constB126)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29929, 17342, 29926])).
% 39.62/26.06 tff(29931,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB126) | (~v155(constB126)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB126) | (~v155(constB126)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29932,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB126) | (~v155(constB126)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29933,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB126) | (~v155(constB126))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29932, 29931])).
% 39.62/26.06 tff(29934,plain,
% 39.62/26.06 (~v155(constB126)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29933, 17212, 29261])).
% 39.62/26.06 tff(29935,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB126) | (~v164(constB126)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB126) | (~v164(constB126)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29936,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB126) | (~v164(constB126)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29937,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB126) | (~v164(constB126))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29936, 29935])).
% 39.62/26.06 tff(29938,plain,
% 39.62/26.06 (~v164(constB126)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29937, 17361, 29934])).
% 39.62/26.06 tff(29939,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB126)) | v164(constB126) | v163(constB126))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB126)) | v164(constB126) | v163(constB126))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29940,plain,
% 39.62/26.06 ((v164(constB126) | v163(constB126) | (~v160(constB126))) <=> ((~v160(constB126)) | v164(constB126) | v163(constB126))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29941,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB126) | v163(constB126) | (~v160(constB126)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB126)) | v164(constB126) | v163(constB126)))),
% 39.62/26.06 inference(monotonicity,[status(thm)],[29940])).
% 39.62/26.06 tff(29942,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB126) | v163(constB126) | (~v160(constB126)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB126)) | v164(constB126) | v163(constB126))),
% 39.62/26.06 inference(transitivity,[status(thm)],[29941, 29939])).
% 39.62/26.06 tff(29943,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB126) | v163(constB126) | (~v160(constB126)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29944,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB126)) | v164(constB126) | v163(constB126)),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29943, 29942])).
% 39.62/26.06 tff(29945,plain,
% 39.62/26.06 ((~v160(constB126)) | v163(constB126)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29944, 17312, 29938])).
% 39.62/26.06 tff(29946,plain,
% 39.62/26.06 (~v160(constB126)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29945, 29930])).
% 39.62/26.06 tff(29947,plain,
% 39.62/26.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29948,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29949,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29948, 29947])).
% 39.62/26.06 tff(29950,plain,
% 39.62/26.06 (v160(constB126) | (~v162(constB127))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29949, 17330, 14724])).
% 39.62/26.06 tff(29951,plain,
% 39.62/26.06 (~v162(constB127)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29950, 29946])).
% 39.62/26.06 tff(29952,plain,
% 39.62/26.06 ($false),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29951, 29821])).
% 39.62/26.06 tff(29953,plain,(~(constB127 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.06 tff(29954,assumption,(constB149 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.06 tff(29955,plain,
% 39.62/26.06 (v162(constB149) <=> v162(sK0_VarCurr)),
% 39.62/26.06 inference(monotonicity,[status(thm)],[29954])).
% 39.62/26.06 tff(29956,plain,
% 39.62/26.06 (v162(sK0_VarCurr) <=> v162(constB149)),
% 39.62/26.06 inference(symmetry,[status(thm)],[29955])).
% 39.62/26.06 tff(29957,plain,
% 39.62/26.06 (v162(constB149)),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[17398, 29956])).
% 39.62/26.06 tff(29958,plain,
% 39.62/26.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB143, bitIndex2)) | (~v145(constB143)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29959,plain,
% 39.62/26.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v145(constB143)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29960,plain,
% 39.62/26.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB143, bitIndex2)) | (~v145(constB143))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29959, 29958])).
% 39.62/26.06 tff(29961,plain,
% 39.62/26.06 (~v145(constB143)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29960, 5709, 16406])).
% 39.62/26.06 tff(29962,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB143) | (~v144(constB143)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB143) | (~v144(constB143)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29963,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB143) | (~v144(constB143)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29964,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB143) | (~v144(constB143))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29963, 29962])).
% 39.62/26.06 tff(29965,plain,
% 39.62/26.06 (~v144(constB143)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29964, 17003, 29961])).
% 39.62/26.06 tff(29966,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB143) | (~v142(constB143)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB143) | (~v142(constB143)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29967,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB143) | (~v142(constB143)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29968,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB143) | (~v142(constB143))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 39.62/26.06 tff(29969,plain,
% 39.62/26.06 (~v142(constB143)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29968, 17014, 29965])).
% 39.62/26.06 tff(29970,plain,
% 39.62/26.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB143)) | (~v140(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB143)) | (~v140(constB143)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29971,plain,
% 39.62/26.06 (((~v140(constB143)) | (~v138(constB143))) <=> ((~v138(constB143)) | (~v140(constB143)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29972,plain,
% 39.62/26.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB143)) | (~v138(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB143)) | (~v140(constB143))))),
% 39.62/26.06 inference(monotonicity,[status(thm)],[29971])).
% 39.62/26.06 tff(29973,plain,
% 39.62/26.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB143)) | (~v138(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB143)) | (~v140(constB143)))),
% 39.62/26.06 inference(transitivity,[status(thm)],[29972, 29970])).
% 39.62/26.06 tff(29974,plain,
% 39.62/26.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB143)) | (~v138(constB143)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29975,plain,
% 39.62/26.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB143)) | (~v140(constB143))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29974, 29973])).
% 39.62/26.06 tff(29976,plain,
% 39.62/26.06 (~v138(constB143)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29975, 108, 25178])).
% 39.62/26.06 tff(29977,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB143) | v142(constB143) | (~v135(constB143)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB143) | v142(constB143) | (~v135(constB143)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29978,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB143) | v142(constB143) | (~v135(constB143)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29979,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB143) | v142(constB143) | (~v135(constB143))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29978, 29977])).
% 39.62/26.06 tff(29980,plain,
% 39.62/26.06 (v142(constB143) | (~v135(constB143))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29979, 17028, 29976])).
% 39.62/26.06 tff(29981,plain,
% 39.62/26.06 (~v135(constB143)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29980, 29969])).
% 39.62/26.06 tff(29982,plain,
% 39.62/26.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29983,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29984,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29983, 29982])).
% 39.62/26.06 tff(29985,plain,
% 39.62/26.06 (v135(constB143) | (~v137(constB144))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29984, 17043, 16509])).
% 39.62/26.06 tff(29986,plain,
% 39.62/26.06 (~v137(constB144)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29985, 29981])).
% 39.62/26.06 tff(29987,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB144) | (~v138(constB144)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB144) | (~v138(constB144)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29988,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB144) | (~v138(constB144)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29989,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB144) | (~v138(constB144))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29988, 29987])).
% 39.62/26.06 tff(29990,plain,
% 39.62/26.06 (~v138(constB144)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29989, 17055, 29986])).
% 39.62/26.06 tff(29991,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB144) | (~v144(constB144)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB144) | (~v144(constB144)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29992,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB144) | (~v144(constB144)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29993,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB144) | (~v144(constB144))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29992, 29991])).
% 39.62/26.06 tff(29994,plain,
% 39.62/26.06 (~v144(constB144)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29993, 17077, 25200])).
% 39.62/26.06 tff(29995,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB144) | (~v142(constB144)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB144) | (~v142(constB144)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(29996,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB144) | (~v142(constB144)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(29997,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB144) | (~v142(constB144))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[29996, 29995])).
% 39.62/26.06 tff(29998,plain,
% 39.62/26.06 (~v142(constB144)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[29997, 17014, 29994])).
% 39.62/26.06 tff(29999,plain,
% 39.62/26.06 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB144) | v142(constB144) | (~v135(constB144)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB144) | v142(constB144) | (~v135(constB144)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(30000,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB144) | v142(constB144) | (~v135(constB144)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(30001,plain,
% 39.62/26.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB144) | v142(constB144) | (~v135(constB144))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[30000, 29999])).
% 39.62/26.06 tff(30002,plain,
% 39.62/26.06 (v138(constB144) | (~v135(constB144))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[30001, 17028, 29998])).
% 39.62/26.06 tff(30003,plain,
% 39.62/26.06 (~v135(constB144)),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[30002, 29990])).
% 39.62/26.06 tff(30004,plain,
% 39.62/26.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))),
% 39.62/26.06 inference(rewrite,[status(thm)],[])).
% 39.62/26.06 tff(30005,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))),
% 39.62/26.06 inference(quant_inst,[status(thm)],[])).
% 39.62/26.06 tff(30006,plain,
% 39.62/26.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145))),
% 39.62/26.06 inference(modus_ponens,[status(thm)],[30005, 30004])).
% 39.62/26.06 tff(30007,plain,
% 39.62/26.06 (v135(constB144) | (~v137(constB145))),
% 39.62/26.06 inference(unit_resolution,[status(thm)],[30006, 17043, 16571])).
% 39.62/26.06 tff(30008,plain,
% 39.62/26.06 (~v137(constB145)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30007, 30003])).
% 39.62/26.07 tff(30009,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB145) | (~v154(constB145)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB145) | (~v154(constB145)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30010,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB145) | (~v154(constB145)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30011,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB145) | (~v154(constB145))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30010, 30009])).
% 39.62/26.07 tff(30012,plain,
% 39.62/26.07 (~v154(constB145)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30011, 17105, 30008])).
% 39.62/26.07 tff(30013,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB145) | (~v153(constB145)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB145) | (~v153(constB145)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30014,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB145) | (~v153(constB145)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30015,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB145) | (~v153(constB145))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30014, 30013])).
% 39.62/26.07 tff(30016,plain,
% 39.62/26.07 (~v153(constB145)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30015, 17197, 25218])).
% 39.62/26.07 tff(30017,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB145) | v154(constB145) | (~v150(constB145)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB145) | v154(constB145) | (~v150(constB145)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30018,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB145) | v154(constB145) | (~v150(constB145)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30019,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB145) | v154(constB145) | (~v150(constB145))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30018, 30017])).
% 39.62/26.07 tff(30020,plain,
% 39.62/26.07 (v154(constB145) | (~v150(constB145))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30019, 17170, 30016])).
% 39.62/26.07 tff(30021,plain,
% 39.62/26.07 (~v150(constB145)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30020, 30012])).
% 39.62/26.07 tff(30022,plain,
% 39.62/26.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30023,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30024,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30023, 30022])).
% 39.62/26.07 tff(30025,plain,
% 39.62/26.07 (v150(constB145) | (~v152(constB146))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30024, 17185, 16684])).
% 39.62/26.07 tff(30026,plain,
% 39.62/26.07 (~v152(constB146)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30025, 30021])).
% 39.62/26.07 tff(30027,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB146) | (~v153(constB146)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB146) | (~v153(constB146)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30028,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB146) | (~v153(constB146)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30029,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB146) | (~v153(constB146))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30028, 30027])).
% 39.62/26.07 tff(30030,plain,
% 39.62/26.07 (~v153(constB146)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30029, 17197, 30026])).
% 39.62/26.07 tff(30031,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB146) | (~v154(constB146)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB146) | (~v154(constB146)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30032,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB146) | (~v154(constB146)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30033,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB146) | (~v154(constB146))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30032, 30031])).
% 39.62/26.07 tff(30034,plain,
% 39.62/26.07 (~v154(constB146)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30033, 17223, 25416])).
% 39.62/26.07 tff(30035,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB146) | v154(constB146) | (~v150(constB146)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB146) | v154(constB146) | (~v150(constB146)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30036,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB146) | v154(constB146) | (~v150(constB146)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30037,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB146) | v154(constB146) | (~v150(constB146))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30036, 30035])).
% 39.62/26.07 tff(30038,plain,
% 39.62/26.07 (v153(constB146) | (~v150(constB146))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30037, 17170, 30034])).
% 39.62/26.07 tff(30039,plain,
% 39.62/26.07 (~v150(constB146)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30038, 30030])).
% 39.62/26.07 tff(30040,plain,
% 39.62/26.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30041,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30042,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30041, 30040])).
% 39.62/26.07 tff(30043,plain,
% 39.62/26.07 (v150(constB146) | (~v152(constB147))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30042, 17185, 16776])).
% 39.62/26.07 tff(30044,plain,
% 39.62/26.07 (~v152(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30043, 30039])).
% 39.62/26.07 tff(30045,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB147) | (~v164(constB147)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB147) | (~v164(constB147)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30046,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB147) | (~v164(constB147)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30047,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB147) | (~v164(constB147))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30046, 30045])).
% 39.62/26.07 tff(30048,plain,
% 39.62/26.07 (~v164(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30047, 17247, 30044])).
% 39.62/26.07 tff(30049,assumption,(v18(constB148)), introduced(assumption)).
% 39.62/26.07 tff(30050,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB148))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30051,plain,
% 39.62/26.07 ($false),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30050, 8, 30049])).
% 39.62/26.07 tff(30052,plain,(~v18(constB148)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.07 tff(30053,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30054,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30055,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30054, 30053])).
% 39.62/26.07 tff(30056,plain,
% 39.62/26.07 (v22(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30055, 21, 16932])).
% 39.62/26.07 tff(30057,plain,
% 39.62/26.07 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB148)) | (~v22(constB148)) | v18(constB148))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB148)) | (~v22(constB148)) | v18(constB148))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30058,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB148)) | (~v22(constB148)) | v18(constB148))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30059,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB148)) | (~v22(constB148)) | v18(constB148)),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30058, 30057])).
% 39.62/26.07 tff(30060,plain,
% 39.62/26.07 ((~v19(constB148)) | v18(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30059, 35, 30056])).
% 39.62/26.07 tff(30061,plain,
% 39.62/26.07 (~v19(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30060, 30052])).
% 39.62/26.07 tff(30062,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30063,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30064,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148)),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30063, 30062])).
% 39.62/26.07 tff(30065,plain,
% 39.62/26.07 (v13(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30064, 50, 30061])).
% 39.62/26.07 tff(30066,plain,
% 39.62/26.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30067,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30068,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147)),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30067, 30066])).
% 39.62/26.07 tff(30069,plain,
% 39.62/26.07 ((~v13(constB148)) | v9(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30068, 67, 16912])).
% 39.62/26.07 tff(30070,plain,
% 39.62/26.07 (v9(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30069, 30065])).
% 39.62/26.07 tff(30071,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v141(constB147))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB147) | (~v9(constB147)) | v141(constB147))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30072,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v141(constB147))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30073,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB147) | (~v9(constB147)) | v141(constB147)),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30072, 30071])).
% 39.62/26.07 tff(30074,plain,
% 39.62/26.07 ((~v9(constB147)) | v141(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30073, 85, 16773])).
% 39.62/26.07 tff(30075,plain,
% 39.62/26.07 (v141(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30074, 30070])).
% 39.62/26.07 tff(30076,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB147) | (~v141(constB147)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB147) | (~v141(constB147)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30077,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB147) | (~v141(constB147)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30078,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB147) | (~v141(constB147))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30077, 30076])).
% 39.62/26.07 tff(30079,plain,
% 39.62/26.07 (v140(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30078, 97, 30075])).
% 39.62/26.07 tff(30080,plain,
% 39.62/26.07 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB147)) | (~v163(constB147)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB147)) | (~v163(constB147)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30081,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB147)) | (~v163(constB147)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30082,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB147)) | (~v163(constB147))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30081, 30080])).
% 39.62/26.07 tff(30083,plain,
% 39.62/26.07 (~v163(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30082, 17298, 30079])).
% 39.62/26.07 tff(30084,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB147)) | v164(constB147) | v163(constB147))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB147)) | v164(constB147) | v163(constB147))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30085,plain,
% 39.62/26.07 ((v164(constB147) | v163(constB147) | (~v160(constB147))) <=> ((~v160(constB147)) | v164(constB147) | v163(constB147))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30086,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB147) | v163(constB147) | (~v160(constB147)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB147)) | v164(constB147) | v163(constB147)))),
% 39.62/26.07 inference(monotonicity,[status(thm)],[30085])).
% 39.62/26.07 tff(30087,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB147) | v163(constB147) | (~v160(constB147)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB147)) | v164(constB147) | v163(constB147))),
% 39.62/26.07 inference(transitivity,[status(thm)],[30086, 30084])).
% 39.62/26.07 tff(30088,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB147) | v163(constB147) | (~v160(constB147)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30089,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB147)) | v164(constB147) | v163(constB147)),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30088, 30087])).
% 39.62/26.07 tff(30090,plain,
% 39.62/26.07 ((~v160(constB147)) | v164(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30089, 17312, 30083])).
% 39.62/26.07 tff(30091,plain,
% 39.62/26.07 (~v160(constB147)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30090, 30048])).
% 39.62/26.07 tff(30092,plain,
% 39.62/26.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30093,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30094,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30093, 30092])).
% 39.62/26.07 tff(30095,plain,
% 39.62/26.07 (v160(constB147) | (~v162(constB148))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30094, 17330, 16912])).
% 39.62/26.07 tff(30096,plain,
% 39.62/26.07 (~v162(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30095, 30091])).
% 39.62/26.07 tff(30097,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB148) | (~v163(constB148)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB148) | (~v163(constB148)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30098,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB148) | (~v163(constB148)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30099,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB148) | (~v163(constB148))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30098, 30097])).
% 39.62/26.07 tff(30100,plain,
% 39.62/26.07 (~v163(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30099, 17342, 30096])).
% 39.62/26.07 tff(30101,plain,
% 39.62/26.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB148)) | (~v141(constB148)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB148)) | (~v141(constB148)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30102,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB148)) | (~v141(constB148)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30103,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB148)) | (~v141(constB148))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30102, 30101])).
% 39.62/26.07 tff(30104,plain,
% 39.62/26.07 (~v141(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30103, 17066, 16932])).
% 39.62/26.07 tff(30105,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB148) | (~v155(constB148)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB148) | (~v155(constB148)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30106,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB148) | (~v155(constB148)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30107,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB148) | (~v155(constB148))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30106, 30105])).
% 39.62/26.07 tff(30108,plain,
% 39.62/26.07 (~v155(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30107, 17212, 30104])).
% 39.62/26.07 tff(30109,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB148) | (~v164(constB148)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB148) | (~v164(constB148)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30110,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB148) | (~v164(constB148)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30111,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB148) | (~v164(constB148))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30110, 30109])).
% 39.62/26.07 tff(30112,plain,
% 39.62/26.07 (~v164(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30111, 17361, 30108])).
% 39.62/26.07 tff(30113,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB148)) | v164(constB148) | v163(constB148))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB148)) | v164(constB148) | v163(constB148))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30114,plain,
% 39.62/26.07 ((v164(constB148) | v163(constB148) | (~v160(constB148))) <=> ((~v160(constB148)) | v164(constB148) | v163(constB148))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30115,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB148) | v163(constB148) | (~v160(constB148)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB148)) | v164(constB148) | v163(constB148)))),
% 39.62/26.07 inference(monotonicity,[status(thm)],[30114])).
% 39.62/26.07 tff(30116,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB148) | v163(constB148) | (~v160(constB148)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB148)) | v164(constB148) | v163(constB148))),
% 39.62/26.07 inference(transitivity,[status(thm)],[30115, 30113])).
% 39.62/26.07 tff(30117,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB148) | v163(constB148) | (~v160(constB148)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30118,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB148)) | v164(constB148) | v163(constB148)),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30117, 30116])).
% 39.62/26.07 tff(30119,plain,
% 39.62/26.07 ((~v160(constB148)) | v163(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30118, 17312, 30112])).
% 39.62/26.07 tff(30120,plain,
% 39.62/26.07 (~v160(constB148)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30119, 30100])).
% 39.62/26.07 tff(30121,plain,
% 39.62/26.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30122,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30123,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30122, 30121])).
% 39.62/26.07 tff(30124,plain,
% 39.62/26.07 (v160(constB148) | (~v162(constB149))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30123, 17330, 16971])).
% 39.62/26.07 tff(30125,plain,
% 39.62/26.07 (~v162(constB149)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30124, 30120])).
% 39.62/26.07 tff(30126,plain,
% 39.62/26.07 ($false),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30125, 29957])).
% 39.62/26.07 tff(30127,plain,(~(constB149 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.07 tff(30128,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.07 tff(30129,plain,
% 39.62/26.07 (v162(constB61) <=> v162(sK0_VarCurr)),
% 39.62/26.07 inference(monotonicity,[status(thm)],[30128])).
% 39.62/26.07 tff(30130,plain,
% 39.62/26.07 (v162(sK0_VarCurr) <=> v162(constB61)),
% 39.62/26.07 inference(symmetry,[status(thm)],[30129])).
% 39.62/26.07 tff(30131,plain,
% 39.62/26.07 (v162(constB61)),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[17398, 30130])).
% 39.62/26.07 tff(30132,plain,
% 39.62/26.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB53, bitIndex2)) | (~v145(constB53)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB53, bitIndex2)) | (~v145(constB53)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30133,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB53, bitIndex2)) | (~v145(constB53)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30134,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB53, bitIndex2)) | (~v145(constB53))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30133, 30132])).
% 39.62/26.07 tff(30135,plain,
% 39.62/26.07 (~v145(constB53)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30134, 5709, 6362])).
% 39.62/26.07 tff(30136,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB53) | (~v144(constB53)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB53) | (~v144(constB53)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30137,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB53) | (~v144(constB53)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30138,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB53) | (~v144(constB53))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30137, 30136])).
% 39.62/26.07 tff(30139,plain,
% 39.62/26.07 (~v144(constB53)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30138, 17003, 30135])).
% 39.62/26.07 tff(30140,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB53) | (~v142(constB53)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30141,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB53) | (~v142(constB53)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30142,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB53) | (~v142(constB53))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30141, 30140])).
% 39.62/26.07 tff(30143,plain,
% 39.62/26.07 (~v142(constB53)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30142, 17014, 30139])).
% 39.62/26.07 tff(30144,plain,
% 39.62/26.07 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB53)) | (~v140(constB53)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB53)) | (~v140(constB53)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30145,plain,
% 39.62/26.07 (((~v140(constB53)) | (~v138(constB53))) <=> ((~v138(constB53)) | (~v140(constB53)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30146,plain,
% 39.62/26.07 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB53)) | (~v138(constB53)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB53)) | (~v140(constB53))))),
% 39.62/26.07 inference(monotonicity,[status(thm)],[30145])).
% 39.62/26.07 tff(30147,plain,
% 39.62/26.07 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB53)) | (~v138(constB53)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB53)) | (~v140(constB53)))),
% 39.62/26.07 inference(transitivity,[status(thm)],[30146, 30144])).
% 39.62/26.07 tff(30148,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB53)) | (~v138(constB53)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30149,plain,
% 39.62/26.07 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB53)) | (~v140(constB53))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30148, 30147])).
% 39.62/26.07 tff(30150,plain,
% 39.62/26.07 (~v138(constB53)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30149, 108, 23659])).
% 39.62/26.07 tff(30151,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB53) | v142(constB53) | (~v135(constB53)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB53) | v142(constB53) | (~v135(constB53)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30152,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB53) | v142(constB53) | (~v135(constB53)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30153,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB53) | v142(constB53) | (~v135(constB53))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30152, 30151])).
% 39.62/26.07 tff(30154,plain,
% 39.62/26.07 (v142(constB53) | (~v135(constB53))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30153, 17028, 30150])).
% 39.62/26.07 tff(30155,plain,
% 39.62/26.07 (~v135(constB53)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30154, 30143])).
% 39.62/26.07 tff(30156,plain,
% 39.62/26.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30157,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30158,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30157, 30156])).
% 39.62/26.07 tff(30159,plain,
% 39.62/26.07 (v135(constB53) | (~v137(constB54))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30158, 17043, 6450])).
% 39.62/26.07 tff(30160,plain,
% 39.62/26.07 (~v137(constB54)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30159, 30155])).
% 39.62/26.07 tff(30161,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB54) | (~v138(constB54)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB54) | (~v138(constB54)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30162,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB54) | (~v138(constB54)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30163,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB54) | (~v138(constB54))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30162, 30161])).
% 39.62/26.07 tff(30164,plain,
% 39.62/26.07 (~v138(constB54)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30163, 17055, 30160])).
% 39.62/26.07 tff(30165,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB54) | (~v144(constB54)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB54) | (~v144(constB54)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30166,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB54) | (~v144(constB54)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30167,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB54) | (~v144(constB54))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30166, 30165])).
% 39.62/26.07 tff(30168,plain,
% 39.62/26.07 (~v144(constB54)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30167, 17077, 23684])).
% 39.62/26.07 tff(30169,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB54) | (~v142(constB54)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB54) | (~v142(constB54)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30170,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB54) | (~v142(constB54)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30171,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB54) | (~v142(constB54))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30170, 30169])).
% 39.62/26.07 tff(30172,plain,
% 39.62/26.07 (~v142(constB54)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30171, 17014, 30168])).
% 39.62/26.07 tff(30173,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB54) | v142(constB54) | (~v135(constB54)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB54) | v142(constB54) | (~v135(constB54)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30174,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB54) | v142(constB54) | (~v135(constB54)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30175,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB54) | v142(constB54) | (~v135(constB54))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30174, 30173])).
% 39.62/26.07 tff(30176,plain,
% 39.62/26.07 (v138(constB54) | (~v135(constB54))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30175, 17028, 30172])).
% 39.62/26.07 tff(30177,plain,
% 39.62/26.07 (~v135(constB54)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30176, 30164])).
% 39.62/26.07 tff(30178,plain,
% 39.62/26.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30179,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30180,plain,
% 39.62/26.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30179, 30178])).
% 39.62/26.07 tff(30181,plain,
% 39.62/26.07 (v135(constB54) | (~v137(constB55))),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30180, 17043, 6629])).
% 39.62/26.07 tff(30182,plain,
% 39.62/26.07 (~v137(constB55)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30181, 30177])).
% 39.62/26.07 tff(30183,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB55) | (~v138(constB55)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB55) | (~v138(constB55)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30184,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB55) | (~v138(constB55)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30185,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB55) | (~v138(constB55))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30184, 30183])).
% 39.62/26.07 tff(30186,plain,
% 39.62/26.07 (~v138(constB55)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30185, 17055, 30182])).
% 39.62/26.07 tff(30187,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB55) | (~v144(constB55)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB55) | (~v144(constB55)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30188,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB55) | (~v144(constB55)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30189,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB55) | (~v144(constB55))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30188, 30187])).
% 39.62/26.07 tff(30190,plain,
% 39.62/26.07 (~v144(constB55)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30189, 17003, 6705])).
% 39.62/26.07 tff(30191,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB55) | (~v142(constB55)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB55) | (~v142(constB55)))),
% 39.62/26.07 inference(rewrite,[status(thm)],[])).
% 39.62/26.07 tff(30192,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB55) | (~v142(constB55)))),
% 39.62/26.07 inference(quant_inst,[status(thm)],[])).
% 39.62/26.07 tff(30193,plain,
% 39.62/26.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB55) | (~v142(constB55))),
% 39.62/26.07 inference(modus_ponens,[status(thm)],[30192, 30191])).
% 39.62/26.07 tff(30194,plain,
% 39.62/26.07 (~v142(constB55)),
% 39.62/26.07 inference(unit_resolution,[status(thm)],[30193, 17014, 30190])).
% 39.62/26.07 tff(30195,plain,
% 39.62/26.07 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB55) | v142(constB55) | (~v135(constB55)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB55) | v142(constB55) | (~v135(constB55)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30196,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB55) | v142(constB55) | (~v135(constB55)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30197,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB55) | v142(constB55) | (~v135(constB55))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30196, 30195])).
% 39.62/26.08 tff(30198,plain,
% 39.62/26.08 (~v135(constB55)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30197, 17028, 30194, 30186])).
% 39.62/26.08 tff(30199,plain,
% 39.62/26.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30200,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30201,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30200, 30199])).
% 39.62/26.08 tff(30202,plain,
% 39.62/26.08 (v135(constB55) | (~v137(constB56))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30201, 17043, 6727])).
% 39.62/26.08 tff(30203,plain,
% 39.62/26.08 (~v137(constB56)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30202, 30198])).
% 39.62/26.08 tff(30204,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB56) | (~v138(constB56)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB56) | (~v138(constB56)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30205,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB56) | (~v138(constB56)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30206,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB56) | (~v138(constB56))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 39.62/26.08 tff(30207,plain,
% 39.62/26.08 (~v138(constB56)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30206, 17055, 30203])).
% 39.62/26.08 tff(30208,plain,
% 39.62/26.08 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB56)) | (~v141(constB56)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB56)) | (~v141(constB56)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30209,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB56)) | (~v141(constB56)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30210,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB56)) | (~v141(constB56))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30209, 30208])).
% 39.62/26.08 tff(30211,plain,
% 39.62/26.08 (~v141(constB56)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30210, 17066, 6910])).
% 39.62/26.08 tff(30212,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB56) | (~v144(constB56)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB56) | (~v144(constB56)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30213,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB56) | (~v144(constB56)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30214,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB56) | (~v144(constB56))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30213, 30212])).
% 39.62/26.08 tff(30215,plain,
% 39.62/26.08 (~v144(constB56)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30214, 17077, 30211])).
% 39.62/26.08 tff(30216,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB56) | (~v142(constB56)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB56) | (~v142(constB56)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30217,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB56) | (~v142(constB56)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30218,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB56) | (~v142(constB56))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30217, 30216])).
% 39.62/26.08 tff(30219,plain,
% 39.62/26.08 (~v142(constB56)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30218, 17014, 30215])).
% 39.62/26.08 tff(30220,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB56) | v142(constB56) | (~v135(constB56)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB56) | v142(constB56) | (~v135(constB56)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30221,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB56) | v142(constB56) | (~v135(constB56)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30222,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB56) | v142(constB56) | (~v135(constB56))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30221, 30220])).
% 39.62/26.08 tff(30223,plain,
% 39.62/26.08 (v138(constB56) | (~v135(constB56))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30222, 17028, 30219])).
% 39.62/26.08 tff(30224,plain,
% 39.62/26.08 (~v135(constB56)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30223, 30207])).
% 39.62/26.08 tff(30225,plain,
% 39.62/26.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30226,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30227,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 39.62/26.08 tff(30228,plain,
% 39.62/26.08 (v135(constB56) | (~v137(constB57))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30227, 17043, 6938])).
% 39.62/26.08 tff(30229,plain,
% 39.62/26.08 (~v137(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30228, 30224])).
% 39.62/26.08 tff(30230,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB57) | (~v154(constB57)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB57) | (~v154(constB57)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30231,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB57) | (~v154(constB57)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30232,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB57) | (~v154(constB57))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30231, 30230])).
% 39.62/26.08 tff(30233,plain,
% 39.62/26.08 (~v154(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30232, 17105, 30229])).
% 39.62/26.08 tff(30234,assumption,(v18(constB58)), introduced(assumption)).
% 39.62/26.08 tff(30235,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB58))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30236,plain,
% 39.62/26.08 ($false),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30235, 8, 30234])).
% 39.62/26.08 tff(30237,plain,(~v18(constB58)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.08 tff(30238,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30239,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30240,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30239, 30238])).
% 39.62/26.08 tff(30241,plain,
% 39.62/26.08 (v22(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30240, 21, 7265])).
% 39.62/26.08 tff(30242,plain,
% 39.62/26.08 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB58)) | (~v22(constB58)) | v18(constB58))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB58)) | (~v22(constB58)) | v18(constB58))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30243,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB58)) | (~v22(constB58)) | v18(constB58))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30244,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB58)) | (~v22(constB58)) | v18(constB58)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30243, 30242])).
% 39.62/26.08 tff(30245,plain,
% 39.62/26.08 ((~v19(constB58)) | v18(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30244, 35, 30241])).
% 39.62/26.08 tff(30246,plain,
% 39.62/26.08 (~v19(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30245, 30237])).
% 39.62/26.08 tff(30247,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30248,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30249,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30248, 30247])).
% 39.62/26.08 tff(30250,plain,
% 39.62/26.08 (v13(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30249, 50, 30246])).
% 39.62/26.08 tff(30251,plain,
% 39.62/26.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30252,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30253,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30252, 30251])).
% 39.62/26.08 tff(30254,plain,
% 39.62/26.08 ((~v13(constB58)) | v9(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30253, 67, 7245])).
% 39.62/26.08 tff(30255,plain,
% 39.62/26.08 (v9(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30254, 30250])).
% 39.62/26.08 tff(30256,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v141(constB57))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB57) | (~v9(constB57)) | v141(constB57))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30257,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v141(constB57))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30258,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB57) | (~v9(constB57)) | v141(constB57)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30257, 30256])).
% 39.62/26.08 tff(30259,plain,
% 39.62/26.08 ((~v9(constB57)) | v141(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30258, 85, 6935])).
% 39.62/26.08 tff(30260,plain,
% 39.62/26.08 (v141(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30259, 30255])).
% 39.62/26.08 tff(30261,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB57) | (~v141(constB57)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB57) | (~v141(constB57)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30262,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB57) | (~v141(constB57)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30263,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB57) | (~v141(constB57))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30262, 30261])).
% 39.62/26.08 tff(30264,plain,
% 39.62/26.08 (v140(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30263, 97, 30260])).
% 39.62/26.08 tff(30265,plain,
% 39.62/26.08 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB57)) | (~v153(constB57)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB57)) | (~v153(constB57)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30266,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB57)) | (~v153(constB57)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30267,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB57)) | (~v153(constB57))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 39.62/26.08 tff(30268,plain,
% 39.62/26.08 (~v153(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30267, 17156, 30264])).
% 39.62/26.08 tff(30269,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB57) | v154(constB57) | (~v150(constB57)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB57) | v154(constB57) | (~v150(constB57)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30270,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB57) | v154(constB57) | (~v150(constB57)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30271,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB57) | v154(constB57) | (~v150(constB57))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30270, 30269])).
% 39.62/26.08 tff(30272,plain,
% 39.62/26.08 (v154(constB57) | (~v150(constB57))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30271, 17170, 30268])).
% 39.62/26.08 tff(30273,plain,
% 39.62/26.08 (~v150(constB57)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30272, 30233])).
% 39.62/26.08 tff(30274,plain,
% 39.62/26.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30275,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30276,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30275, 30274])).
% 39.62/26.08 tff(30277,plain,
% 39.62/26.08 (v150(constB57) | (~v152(constB58))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30276, 17185, 7245])).
% 39.62/26.08 tff(30278,plain,
% 39.62/26.08 (~v152(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30277, 30273])).
% 39.62/26.08 tff(30279,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB58) | (~v153(constB58)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB58) | (~v153(constB58)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30280,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB58) | (~v153(constB58)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30281,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB58) | (~v153(constB58))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30280, 30279])).
% 39.62/26.08 tff(30282,plain,
% 39.62/26.08 (~v153(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30281, 17197, 30278])).
% 39.62/26.08 tff(30283,plain,
% 39.62/26.08 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB58)) | (~v141(constB58)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB58)) | (~v141(constB58)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30284,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB58)) | (~v141(constB58)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30285,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB58)) | (~v141(constB58))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30284, 30283])).
% 39.62/26.08 tff(30286,plain,
% 39.62/26.08 (~v141(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30285, 17066, 7265])).
% 39.62/26.08 tff(30287,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB58) | (~v155(constB58)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB58) | (~v155(constB58)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30288,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB58) | (~v155(constB58)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30289,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB58) | (~v155(constB58))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30288, 30287])).
% 39.62/26.08 tff(30290,plain,
% 39.62/26.08 (~v155(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30289, 17212, 30286])).
% 39.62/26.08 tff(30291,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB58) | (~v154(constB58)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB58) | (~v154(constB58)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30292,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB58) | (~v154(constB58)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30293,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB58) | (~v154(constB58))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30292, 30291])).
% 39.62/26.08 tff(30294,plain,
% 39.62/26.08 (~v154(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30293, 17223, 30290])).
% 39.62/26.08 tff(30295,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB58) | v154(constB58) | (~v150(constB58)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB58) | v154(constB58) | (~v150(constB58)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30296,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB58) | v154(constB58) | (~v150(constB58)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30297,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB58) | v154(constB58) | (~v150(constB58))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30296, 30295])).
% 39.62/26.08 tff(30298,plain,
% 39.62/26.08 (v153(constB58) | (~v150(constB58))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30297, 17170, 30294])).
% 39.62/26.08 tff(30299,plain,
% 39.62/26.08 (~v150(constB58)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30298, 30282])).
% 39.62/26.08 tff(30300,plain,
% 39.62/26.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30301,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30302,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30301, 30300])).
% 39.62/26.08 tff(30303,plain,
% 39.62/26.08 (v150(constB58) | (~v152(constB59))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30302, 17185, 7310])).
% 39.62/26.08 tff(30304,plain,
% 39.62/26.08 (~v152(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30303, 30299])).
% 39.62/26.08 tff(30305,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB59) | (~v164(constB59)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB59) | (~v164(constB59)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30306,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB59) | (~v164(constB59)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30307,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB59) | (~v164(constB59))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30306, 30305])).
% 39.62/26.08 tff(30308,plain,
% 39.62/26.08 (~v164(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30307, 17247, 30304])).
% 39.62/26.08 tff(30309,assumption,(v18(constB60)), introduced(assumption)).
% 39.62/26.08 tff(30310,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB60))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30311,plain,
% 39.62/26.08 ($false),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30310, 8, 30309])).
% 39.62/26.08 tff(30312,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.08 tff(30313,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30314,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30315,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30314, 30313])).
% 39.62/26.08 tff(30316,plain,
% 39.62/26.08 (v22(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30315, 21, 7459])).
% 39.62/26.08 tff(30317,plain,
% 39.62/26.08 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30318,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30319,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30318, 30317])).
% 39.62/26.08 tff(30320,plain,
% 39.62/26.08 ((~v19(constB60)) | v18(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30319, 35, 30316])).
% 39.62/26.08 tff(30321,plain,
% 39.62/26.08 (~v19(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30320, 30312])).
% 39.62/26.08 tff(30322,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30323,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30324,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30323, 30322])).
% 39.62/26.08 tff(30325,plain,
% 39.62/26.08 (v13(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30324, 50, 30321])).
% 39.62/26.08 tff(30326,plain,
% 39.62/26.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30327,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30328,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30327, 30326])).
% 39.62/26.08 tff(30329,plain,
% 39.62/26.08 ((~v13(constB60)) | v9(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30328, 67, 7439])).
% 39.62/26.08 tff(30330,plain,
% 39.62/26.08 (v9(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30329, 30325])).
% 39.62/26.08 tff(30331,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30332,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30333,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30332, 30331])).
% 39.62/26.08 tff(30334,plain,
% 39.62/26.08 ((~v9(constB59)) | v141(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30333, 85, 7307])).
% 39.62/26.08 tff(30335,plain,
% 39.62/26.08 (v141(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30334, 30330])).
% 39.62/26.08 tff(30336,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB59) | (~v141(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB59) | (~v141(constB59)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30337,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB59) | (~v141(constB59)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30338,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB59) | (~v141(constB59))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30337, 30336])).
% 39.62/26.08 tff(30339,plain,
% 39.62/26.08 (v140(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30338, 97, 30335])).
% 39.62/26.08 tff(30340,plain,
% 39.62/26.08 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB59)) | (~v163(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB59)) | (~v163(constB59)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30341,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB59)) | (~v163(constB59)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30342,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB59)) | (~v163(constB59))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30341, 30340])).
% 39.62/26.08 tff(30343,plain,
% 39.62/26.08 (~v163(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30342, 17298, 30339])).
% 39.62/26.08 tff(30344,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB59)) | v163(constB59) | v164(constB59))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB59)) | v163(constB59) | v164(constB59))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30345,plain,
% 39.62/26.08 ((v164(constB59) | v163(constB59) | (~v160(constB59))) <=> ((~v160(constB59)) | v163(constB59) | v164(constB59))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30346,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB59) | v163(constB59) | (~v160(constB59)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB59)) | v163(constB59) | v164(constB59)))),
% 39.62/26.08 inference(monotonicity,[status(thm)],[30345])).
% 39.62/26.08 tff(30347,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB59) | v163(constB59) | (~v160(constB59)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB59)) | v163(constB59) | v164(constB59))),
% 39.62/26.08 inference(transitivity,[status(thm)],[30346, 30344])).
% 39.62/26.08 tff(30348,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB59) | v163(constB59) | (~v160(constB59)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30349,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB59)) | v163(constB59) | v164(constB59)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30348, 30347])).
% 39.62/26.08 tff(30350,plain,
% 39.62/26.08 ((~v160(constB59)) | v164(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30349, 17312, 30343])).
% 39.62/26.08 tff(30351,plain,
% 39.62/26.08 (~v160(constB59)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30350, 30308])).
% 39.62/26.08 tff(30352,plain,
% 39.62/26.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30353,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30354,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30353, 30352])).
% 39.62/26.08 tff(30355,plain,
% 39.62/26.08 (v160(constB59) | (~v162(constB60))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30354, 17330, 7439])).
% 39.62/26.08 tff(30356,plain,
% 39.62/26.08 (~v162(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30355, 30351])).
% 39.62/26.08 tff(30357,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB60) | (~v163(constB60)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB60) | (~v163(constB60)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30358,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB60) | (~v163(constB60)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30359,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB60) | (~v163(constB60))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30358, 30357])).
% 39.62/26.08 tff(30360,plain,
% 39.62/26.08 (~v163(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30359, 17342, 30356])).
% 39.62/26.08 tff(30361,plain,
% 39.62/26.08 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30362,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30363,plain,
% 39.62/26.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30362, 30361])).
% 39.62/26.08 tff(30364,plain,
% 39.62/26.08 (~v141(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30363, 17066, 7459])).
% 39.62/26.08 tff(30365,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB60) | (~v155(constB60)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB60) | (~v155(constB60)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30366,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB60) | (~v155(constB60)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30367,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB60) | (~v155(constB60))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30366, 30365])).
% 39.62/26.08 tff(30368,plain,
% 39.62/26.08 (~v155(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30367, 17212, 30364])).
% 39.62/26.08 tff(30369,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB60) | (~v164(constB60)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB60) | (~v164(constB60)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30370,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB60) | (~v164(constB60)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30371,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB60) | (~v164(constB60))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30370, 30369])).
% 39.62/26.08 tff(30372,plain,
% 39.62/26.08 (~v164(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30371, 17361, 30368])).
% 39.62/26.08 tff(30373,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB60)) | v164(constB60) | v163(constB60))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB60)) | v164(constB60) | v163(constB60))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30374,plain,
% 39.62/26.08 ((v164(constB60) | v163(constB60) | (~v160(constB60))) <=> ((~v160(constB60)) | v164(constB60) | v163(constB60))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30375,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB60) | v163(constB60) | (~v160(constB60)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB60)) | v164(constB60) | v163(constB60)))),
% 39.62/26.08 inference(monotonicity,[status(thm)],[30374])).
% 39.62/26.08 tff(30376,plain,
% 39.62/26.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB60) | v163(constB60) | (~v160(constB60)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB60)) | v164(constB60) | v163(constB60))),
% 39.62/26.08 inference(transitivity,[status(thm)],[30375, 30373])).
% 39.62/26.08 tff(30377,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB60) | v163(constB60) | (~v160(constB60)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30378,plain,
% 39.62/26.08 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB60)) | v164(constB60) | v163(constB60)),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 39.62/26.08 tff(30379,plain,
% 39.62/26.08 ((~v160(constB60)) | v163(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30378, 17312, 30372])).
% 39.62/26.08 tff(30380,plain,
% 39.62/26.08 (~v160(constB60)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30379, 30360])).
% 39.62/26.08 tff(30381,plain,
% 39.62/26.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))),
% 39.62/26.08 inference(rewrite,[status(thm)],[])).
% 39.62/26.08 tff(30382,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))),
% 39.62/26.08 inference(quant_inst,[status(thm)],[])).
% 39.62/26.08 tff(30383,plain,
% 39.62/26.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61))),
% 39.62/26.08 inference(modus_ponens,[status(thm)],[30382, 30381])).
% 39.62/26.08 tff(30384,plain,
% 39.62/26.08 (v160(constB60) | (~v162(constB61))),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30383, 17330, 7504])).
% 39.62/26.08 tff(30385,plain,
% 39.62/26.08 (~v162(constB61)),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30384, 30380])).
% 39.62/26.08 tff(30386,plain,
% 39.62/26.08 ($false),
% 39.62/26.08 inference(unit_resolution,[status(thm)],[30385, 30131])).
% 39.62/26.08 tff(30387,plain,(~(constB61 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.08 tff(30388,assumption,(constB179 = sK0_VarCurr), introduced(assumption)).
% 39.62/26.08 tff(30389,plain,
% 39.62/26.08 (v162(constB179) <=> v162(sK0_VarCurr)),
% 39.62/26.08 inference(monotonicity,[status(thm)],[30388])).
% 39.62/26.08 tff(30390,plain,
% 39.62/26.08 (v162(sK0_VarCurr) <=> v162(constB179)),
% 39.62/26.08 inference(symmetry,[status(thm)],[30389])).
% 39.62/26.08 tff(30391,plain,
% 39.62/26.09 (v162(constB179)),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[17398, 30390])).
% 39.62/26.09 tff(30392,plain,
% 39.62/26.09 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB173, bitIndex2)) | (~v145(constB173)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB173, bitIndex2)) | (~v145(constB173)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30393,plain,
% 39.62/26.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB173, bitIndex2)) | (~v145(constB173)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30394,plain,
% 39.62/26.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB173, bitIndex2)) | (~v145(constB173))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30393, 30392])).
% 39.62/26.09 tff(30395,plain,
% 39.62/26.09 (~v145(constB173)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30394, 5709, 20610])).
% 39.62/26.09 tff(30396,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB173) | (~v144(constB173)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB173) | (~v144(constB173)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30397,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB173) | (~v144(constB173)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30398,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB173) | (~v144(constB173))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 39.62/26.09 tff(30399,plain,
% 39.62/26.09 (~v144(constB173)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30398, 17003, 30395])).
% 39.62/26.09 tff(30400,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB173) | (~v142(constB173)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB173) | (~v142(constB173)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30401,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB173) | (~v142(constB173)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30402,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB173) | (~v142(constB173))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30401, 30400])).
% 39.62/26.09 tff(30403,plain,
% 39.62/26.09 (~v142(constB173)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30402, 17014, 30399])).
% 39.62/26.09 tff(30404,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB173) | (~v138(constB173)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB173) | (~v138(constB173)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30405,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB173) | (~v138(constB173)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30406,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB173) | (~v138(constB173))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30405, 30404])).
% 39.62/26.09 tff(30407,plain,
% 39.62/26.09 (~v138(constB173)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30406, 17055, 22886])).
% 39.62/26.09 tff(30408,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB173) | v142(constB173) | (~v135(constB173)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB173) | v142(constB173) | (~v135(constB173)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30409,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB173) | v142(constB173) | (~v135(constB173)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30410,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB173) | v142(constB173) | (~v135(constB173))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30409, 30408])).
% 39.62/26.09 tff(30411,plain,
% 39.62/26.09 (v142(constB173) | (~v135(constB173))),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30410, 17028, 30407])).
% 39.62/26.09 tff(30412,plain,
% 39.62/26.09 (~v135(constB173)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30411, 30403])).
% 39.62/26.09 tff(30413,plain,
% 39.62/26.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30414,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30415,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30414, 30413])).
% 39.62/26.09 tff(30416,plain,
% 39.62/26.09 (v135(constB173) | (~v137(constB174))),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30415, 17043, 19851])).
% 39.62/26.09 tff(30417,plain,
% 39.62/26.09 (~v137(constB174)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30416, 30412])).
% 39.62/26.09 tff(30418,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB174) | (~v138(constB174)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB174) | (~v138(constB174)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30419,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB174) | (~v138(constB174)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30420,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB174) | (~v138(constB174))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30419, 30418])).
% 39.62/26.09 tff(30421,plain,
% 39.62/26.09 (~v138(constB174)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30420, 17055, 30417])).
% 39.62/26.09 tff(30422,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB174) | (~v144(constB174)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB174) | (~v144(constB174)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30423,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB174) | (~v144(constB174)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30424,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB174) | (~v144(constB174))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30423, 30422])).
% 39.62/26.09 tff(30425,plain,
% 39.62/26.09 (~v144(constB174)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30424, 17077, 19893])).
% 39.62/26.09 tff(30426,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB174) | (~v142(constB174)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB174) | (~v142(constB174)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30427,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB174) | (~v142(constB174)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30428,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB174) | (~v142(constB174))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30427, 30426])).
% 39.62/26.09 tff(30429,plain,
% 39.62/26.09 (~v142(constB174)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30428, 17014, 30425])).
% 39.62/26.09 tff(30430,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB174) | v142(constB174) | (~v135(constB174)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB174) | v142(constB174) | (~v135(constB174)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30431,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB174) | v142(constB174) | (~v135(constB174)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30432,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB174) | v142(constB174) | (~v135(constB174))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30431, 30430])).
% 39.62/26.09 tff(30433,plain,
% 39.62/26.09 (v138(constB174) | (~v135(constB174))),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30432, 17028, 30429])).
% 39.62/26.09 tff(30434,plain,
% 39.62/26.09 (~v135(constB174)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30433, 30421])).
% 39.62/26.09 tff(30435,plain,
% 39.62/26.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30436,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30437,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30436, 30435])).
% 39.62/26.09 tff(30438,plain,
% 39.62/26.09 (v135(constB174) | (~v137(constB175))),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30437, 17043, 19912])).
% 39.62/26.09 tff(30439,plain,
% 39.62/26.09 (~v137(constB175)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30438, 30434])).
% 39.62/26.09 tff(30440,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB175) | (~v154(constB175)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB175) | (~v154(constB175)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30441,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB175) | (~v154(constB175)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30442,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB175) | (~v154(constB175))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30441, 30440])).
% 39.62/26.09 tff(30443,plain,
% 39.62/26.09 (~v154(constB175)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30442, 17105, 30439])).
% 39.62/26.09 tff(30444,plain,
% 39.62/26.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB175)) | (~v153(constB175)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB175)) | (~v153(constB175)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30445,plain,
% 39.62/26.09 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB175)) | (~v153(constB175)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30446,plain,
% 39.62/26.09 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB175)) | (~v153(constB175))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30445, 30444])).
% 39.62/26.09 tff(30447,plain,
% 39.62/26.09 (~v153(constB175)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30446, 17156, 22953])).
% 39.62/26.09 tff(30448,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB175) | v154(constB175) | (~v150(constB175)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB175) | v154(constB175) | (~v150(constB175)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30449,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB175) | v154(constB175) | (~v150(constB175)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30450,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB175) | v154(constB175) | (~v150(constB175))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30449, 30448])).
% 39.62/26.09 tff(30451,plain,
% 39.62/26.09 (v154(constB175) | (~v150(constB175))),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30450, 17170, 30447])).
% 39.62/26.09 tff(30452,plain,
% 39.62/26.09 (~v150(constB175)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30451, 30443])).
% 39.62/26.09 tff(30453,plain,
% 39.62/26.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30454,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30455,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30454, 30453])).
% 39.62/26.09 tff(30456,plain,
% 39.62/26.09 (v150(constB175) | (~v152(constB176))),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30455, 17185, 20864])).
% 39.62/26.09 tff(30457,plain,
% 39.62/26.09 (~v152(constB176)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30456, 30452])).
% 39.62/26.09 tff(30458,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB176) | (~v153(constB176)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB176) | (~v153(constB176)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30459,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB176) | (~v153(constB176)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30460,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB176) | (~v153(constB176))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30459, 30458])).
% 39.62/26.09 tff(30461,plain,
% 39.62/26.09 (~v153(constB176)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30460, 17197, 30457])).
% 39.62/26.09 tff(30462,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB176) | (~v154(constB176)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB176) | (~v154(constB176)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30463,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB176) | (~v154(constB176)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30464,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB176) | (~v154(constB176))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30463, 30462])).
% 39.62/26.09 tff(30465,plain,
% 39.62/26.09 (~v154(constB176)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30464, 17223, 22982])).
% 39.62/26.09 tff(30466,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB176) | v154(constB176) | (~v150(constB176)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB176) | v154(constB176) | (~v150(constB176)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30467,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB176) | v154(constB176) | (~v150(constB176)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30468,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB176) | v154(constB176) | (~v150(constB176))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30467, 30466])).
% 39.62/26.09 tff(30469,plain,
% 39.62/26.09 (v153(constB176) | (~v150(constB176))),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30468, 17170, 30465])).
% 39.62/26.09 tff(30470,plain,
% 39.62/26.09 (~v150(constB176)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30469, 30461])).
% 39.62/26.09 tff(30471,plain,
% 39.62/26.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30472,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30473,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30472, 30471])).
% 39.62/26.09 tff(30474,plain,
% 39.62/26.09 (v150(constB176) | (~v152(constB177))),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30473, 17185, 21036])).
% 39.62/26.09 tff(30475,plain,
% 39.62/26.09 (~v152(constB177)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30474, 30470])).
% 39.62/26.09 tff(30476,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB177) | (~v164(constB177)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB177) | (~v164(constB177)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30477,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB177) | (~v164(constB177)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30478,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB177) | (~v164(constB177))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30477, 30476])).
% 39.62/26.09 tff(30479,plain,
% 39.62/26.09 (~v164(constB177)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30478, 17247, 30475])).
% 39.62/26.09 tff(30480,assumption,(v18(constB178)), introduced(assumption)).
% 39.62/26.09 tff(30481,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB178))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30482,plain,
% 39.62/26.09 ($false),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30481, 8, 30480])).
% 39.62/26.09 tff(30483,plain,(~v18(constB178)), inference(lemma,lemma(discharge,[]))).
% 39.62/26.09 tff(30484,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30485,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30486,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30485, 30484])).
% 39.62/26.09 tff(30487,plain,
% 39.62/26.09 (v22(constB178)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30486, 21, 21168])).
% 39.62/26.09 tff(30488,plain,
% 39.62/26.09 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB178)) | (~v22(constB178)) | v18(constB178))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB178)) | (~v22(constB178)) | v18(constB178))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30489,plain,
% 39.62/26.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB178)) | (~v22(constB178)) | v18(constB178))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30490,plain,
% 39.62/26.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB178)) | (~v22(constB178)) | v18(constB178)),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30489, 30488])).
% 39.62/26.09 tff(30491,plain,
% 39.62/26.09 ((~v19(constB178)) | v18(constB178)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30490, 35, 30487])).
% 39.62/26.09 tff(30492,plain,
% 39.62/26.09 (~v19(constB178)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30491, 30483])).
% 39.62/26.09 tff(30493,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30494,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30495,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178)),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 39.62/26.09 tff(30496,plain,
% 39.62/26.09 (v13(constB178)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30495, 50, 30492])).
% 39.62/26.09 tff(30497,plain,
% 39.62/26.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30498,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30499,plain,
% 39.62/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177)),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30498, 30497])).
% 39.62/26.09 tff(30500,plain,
% 39.62/26.09 ((~v13(constB178)) | v9(constB177)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30499, 67, 21124])).
% 39.62/26.09 tff(30501,plain,
% 39.62/26.09 (v9(constB177)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30500, 30496])).
% 39.62/26.09 tff(30502,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v141(constB177))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB177) | (~v9(constB177)) | v141(constB177))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30503,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v141(constB177))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30504,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB177) | (~v9(constB177)) | v141(constB177)),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30503, 30502])).
% 39.62/26.09 tff(30505,plain,
% 39.62/26.09 ((~v9(constB177)) | v141(constB177)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30504, 85, 21033])).
% 39.62/26.09 tff(30506,plain,
% 39.62/26.09 (v141(constB177)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30505, 30501])).
% 39.62/26.09 tff(30507,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB177) | (~v141(constB177)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB177) | (~v141(constB177)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30508,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB177) | (~v141(constB177)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30509,plain,
% 39.62/26.09 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB177) | (~v141(constB177))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30508, 30507])).
% 39.62/26.09 tff(30510,plain,
% 39.62/26.09 (v140(constB177)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30509, 97, 30506])).
% 39.62/26.09 tff(30511,plain,
% 39.62/26.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB177)) | (~v163(constB177)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB177)) | (~v163(constB177)))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30512,plain,
% 39.62/26.09 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB177)) | (~v163(constB177)))),
% 39.62/26.09 inference(quant_inst,[status(thm)],[])).
% 39.62/26.09 tff(30513,plain,
% 39.62/26.09 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB177)) | (~v163(constB177))),
% 39.62/26.09 inference(modus_ponens,[status(thm)],[30512, 30511])).
% 39.62/26.09 tff(30514,plain,
% 39.62/26.09 (~v163(constB177)),
% 39.62/26.09 inference(unit_resolution,[status(thm)],[30513, 17298, 30510])).
% 39.62/26.09 tff(30515,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB177)) | v163(constB177) | v164(constB177))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB177)) | v163(constB177) | v164(constB177))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30516,plain,
% 39.62/26.09 ((v164(constB177) | v163(constB177) | (~v160(constB177))) <=> ((~v160(constB177)) | v163(constB177) | v164(constB177))),
% 39.62/26.09 inference(rewrite,[status(thm)],[])).
% 39.62/26.09 tff(30517,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB177) | v163(constB177) | (~v160(constB177)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB177)) | v163(constB177) | v164(constB177)))),
% 39.62/26.09 inference(monotonicity,[status(thm)],[30516])).
% 39.62/26.09 tff(30518,plain,
% 39.62/26.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB177) | v163(constB177) | (~v160(constB177)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB177)) | v163(constB177) | v164(constB177))),
% 39.70/26.09 inference(transitivity,[status(thm)],[30517, 30515])).
% 39.70/26.09 tff(30519,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB177) | v163(constB177) | (~v160(constB177)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30520,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB177)) | v163(constB177) | v164(constB177)),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30519, 30518])).
% 39.70/26.09 tff(30521,plain,
% 39.70/26.09 ((~v160(constB177)) | v164(constB177)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30520, 17312, 30514])).
% 39.70/26.09 tff(30522,plain,
% 39.70/26.09 (~v160(constB177)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30521, 30479])).
% 39.70/26.09 tff(30523,plain,
% 39.70/26.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30524,plain,
% 39.70/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30525,plain,
% 39.70/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30524, 30523])).
% 39.70/26.09 tff(30526,plain,
% 39.70/26.09 (v160(constB177) | (~v162(constB178))),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30525, 17330, 21124])).
% 39.70/26.09 tff(30527,plain,
% 39.70/26.09 (~v162(constB178)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30526, 30522])).
% 39.70/26.09 tff(30528,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB178) | (~v163(constB178)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB178) | (~v163(constB178)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30529,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB178) | (~v163(constB178)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30530,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB178) | (~v163(constB178))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30529, 30528])).
% 39.70/26.09 tff(30531,plain,
% 39.70/26.09 (~v163(constB178)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30530, 17342, 30527])).
% 39.70/26.09 tff(30532,plain,
% 39.70/26.09 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB178)) | (~v141(constB178)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB178)) | (~v141(constB178)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30533,plain,
% 39.70/26.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB178)) | (~v141(constB178)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30534,plain,
% 39.70/26.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB178)) | (~v141(constB178))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30533, 30532])).
% 39.70/26.09 tff(30535,plain,
% 39.70/26.09 (~v141(constB178)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30534, 17066, 21168])).
% 39.70/26.09 tff(30536,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB178) | (~v155(constB178)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB178) | (~v155(constB178)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30537,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB178) | (~v155(constB178)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30538,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB178) | (~v155(constB178))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 39.70/26.09 tff(30539,plain,
% 39.70/26.09 (~v155(constB178)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30538, 17212, 30535])).
% 39.70/26.09 tff(30540,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB178) | (~v164(constB178)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB178) | (~v164(constB178)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30541,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB178) | (~v164(constB178)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30542,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB178) | (~v164(constB178))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30541, 30540])).
% 39.70/26.09 tff(30543,plain,
% 39.70/26.09 (~v164(constB178)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30542, 17361, 30539])).
% 39.70/26.09 tff(30544,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB178)) | v164(constB178) | v163(constB178))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB178)) | v164(constB178) | v163(constB178))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30545,plain,
% 39.70/26.09 ((v164(constB178) | v163(constB178) | (~v160(constB178))) <=> ((~v160(constB178)) | v164(constB178) | v163(constB178))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30546,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB178) | v163(constB178) | (~v160(constB178)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB178)) | v164(constB178) | v163(constB178)))),
% 39.70/26.09 inference(monotonicity,[status(thm)],[30545])).
% 39.70/26.09 tff(30547,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB178) | v163(constB178) | (~v160(constB178)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB178)) | v164(constB178) | v163(constB178))),
% 39.70/26.09 inference(transitivity,[status(thm)],[30546, 30544])).
% 39.70/26.09 tff(30548,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB178) | v163(constB178) | (~v160(constB178)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30549,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB178)) | v164(constB178) | v163(constB178)),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30548, 30547])).
% 39.70/26.09 tff(30550,plain,
% 39.70/26.09 ((~v160(constB178)) | v163(constB178)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30549, 17312, 30543])).
% 39.70/26.09 tff(30551,plain,
% 39.70/26.09 (~v160(constB178)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30550, 30531])).
% 39.70/26.09 tff(30552,plain,
% 39.70/26.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30553,plain,
% 39.70/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30554,plain,
% 39.70/26.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30553, 30552])).
% 39.70/26.09 tff(30555,plain,
% 39.70/26.09 (v160(constB178) | (~v162(constB179))),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30554, 17330, 21247])).
% 39.70/26.09 tff(30556,plain,
% 39.70/26.09 (~v162(constB179)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30555, 30551])).
% 39.70/26.09 tff(30557,plain,
% 39.70/26.09 ($false),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30556, 30391])).
% 39.70/26.09 tff(30558,plain,(~(constB179 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.09 tff(30559,assumption,(constB59 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.09 tff(30560,plain,
% 39.70/26.09 (v162(constB59) <=> v162(sK0_VarCurr)),
% 39.70/26.09 inference(monotonicity,[status(thm)],[30559])).
% 39.70/26.09 tff(30561,plain,
% 39.70/26.09 (v162(sK0_VarCurr) <=> v162(constB59)),
% 39.70/26.09 inference(symmetry,[status(thm)],[30560])).
% 39.70/26.09 tff(30562,plain,
% 39.70/26.09 (v162(constB59)),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[17398, 30561])).
% 39.70/26.09 tff(30563,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB55) | (~v154(constB55)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB55) | (~v154(constB55)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30564,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB55) | (~v154(constB55)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30565,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB55) | (~v154(constB55))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30564, 30563])).
% 39.70/26.09 tff(30566,plain,
% 39.70/26.09 (~v154(constB55)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30565, 17105, 30182])).
% 39.70/26.09 tff(30567,plain,
% 39.70/26.09 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB51, bitIndex1)) | (~v145(constB51)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB51, bitIndex1)) | (~v145(constB51)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30568,plain,
% 39.70/26.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB51, bitIndex1)) | (~v145(constB51)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30569,plain,
% 39.70/26.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB51, bitIndex1)) | (~v145(constB51))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30568, 30567])).
% 39.70/26.09 tff(30570,plain,
% 39.70/26.09 (~v145(constB51)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30569, 1116, 6204])).
% 39.70/26.09 tff(30571,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB51) | (~v144(constB51)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB51) | (~v144(constB51)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30572,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB51) | (~v144(constB51)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30573,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB51) | (~v144(constB51))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30572, 30571])).
% 39.70/26.09 tff(30574,plain,
% 39.70/26.09 (~v144(constB51)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30573, 17003, 30570])).
% 39.70/26.09 tff(30575,plain,
% 39.70/26.09 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB51) | (~v142(constB51)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB51) | (~v142(constB51)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30576,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB51) | (~v142(constB51)))),
% 39.70/26.09 inference(quant_inst,[status(thm)],[])).
% 39.70/26.09 tff(30577,plain,
% 39.70/26.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB51) | (~v142(constB51))),
% 39.70/26.09 inference(modus_ponens,[status(thm)],[30576, 30575])).
% 39.70/26.09 tff(30578,plain,
% 39.70/26.09 (~v142(constB51)),
% 39.70/26.09 inference(unit_resolution,[status(thm)],[30577, 17014, 30574])).
% 39.70/26.09 tff(30579,plain,
% 39.70/26.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB51)) | (~v140(constB51)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB51)) | (~v140(constB51)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30580,plain,
% 39.70/26.09 (((~v140(constB51)) | (~v138(constB51))) <=> ((~v138(constB51)) | (~v140(constB51)))),
% 39.70/26.09 inference(rewrite,[status(thm)],[])).
% 39.70/26.09 tff(30581,plain,
% 39.70/26.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB51)) | (~v138(constB51)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB51)) | (~v140(constB51))))),
% 39.70/26.09 inference(monotonicity,[status(thm)],[30580])).
% 39.70/26.09 tff(30582,plain,
% 39.70/26.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB51)) | (~v138(constB51)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB51)) | (~v140(constB51)))),
% 39.70/26.10 inference(transitivity,[status(thm)],[30581, 30579])).
% 39.70/26.10 tff(30583,plain,
% 39.70/26.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB51)) | (~v138(constB51)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30584,plain,
% 39.70/26.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB51)) | (~v140(constB51))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30583, 30582])).
% 39.70/26.10 tff(30585,plain,
% 39.70/26.10 (~v138(constB51)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30584, 108, 23584])).
% 39.70/26.10 tff(30586,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB51) | v142(constB51) | (~v135(constB51)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB51) | v142(constB51) | (~v135(constB51)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30587,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB51) | v142(constB51) | (~v135(constB51)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30588,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB51) | v142(constB51) | (~v135(constB51))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30587, 30586])).
% 39.70/26.10 tff(30589,plain,
% 39.70/26.10 (v142(constB51) | (~v135(constB51))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30588, 17028, 30585])).
% 39.70/26.10 tff(30590,plain,
% 39.70/26.10 (~v135(constB51)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30589, 30578])).
% 39.70/26.10 tff(30591,plain,
% 39.70/26.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB51, constB52)) | v135(constB51) | (~v137(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB51, constB52)) | v135(constB51) | (~v137(constB52)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30592,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB51, constB52)) | v135(constB51) | (~v137(constB52)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30593,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB51, constB52)) | v135(constB51) | (~v137(constB52))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 39.70/26.10 tff(30594,plain,
% 39.70/26.10 (v135(constB51) | (~v137(constB52))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30593, 17043, 6275])).
% 39.70/26.10 tff(30595,plain,
% 39.70/26.10 (~v137(constB52)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30594, 30590])).
% 39.70/26.10 tff(30596,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB52) | (~v138(constB52)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB52) | (~v138(constB52)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30597,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB52) | (~v138(constB52)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30598,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB52) | (~v138(constB52))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30597, 30596])).
% 39.70/26.10 tff(30599,plain,
% 39.70/26.10 (~v138(constB52)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30598, 17055, 30595])).
% 39.70/26.10 tff(30600,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB52) | (~v144(constB52)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB52) | (~v144(constB52)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30601,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB52) | (~v144(constB52)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30602,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB52) | (~v144(constB52))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30601, 30600])).
% 39.70/26.10 tff(30603,plain,
% 39.70/26.10 (~v144(constB52)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30602, 17077, 23606])).
% 39.70/26.10 tff(30604,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB52) | (~v142(constB52)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB52) | (~v142(constB52)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30605,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB52) | (~v142(constB52)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30606,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB52) | (~v142(constB52))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30605, 30604])).
% 39.70/26.10 tff(30607,plain,
% 39.70/26.10 (~v142(constB52)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30606, 17014, 30603])).
% 39.70/26.10 tff(30608,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB52) | v142(constB52) | (~v135(constB52)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB52) | v142(constB52) | (~v135(constB52)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30609,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB52) | v142(constB52) | (~v135(constB52)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30610,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB52) | v142(constB52) | (~v135(constB52))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30609, 30608])).
% 39.70/26.10 tff(30611,plain,
% 39.70/26.10 (v138(constB52) | (~v135(constB52))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30610, 17028, 30607])).
% 39.70/26.10 tff(30612,plain,
% 39.70/26.10 (~v135(constB52)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30611, 30599])).
% 39.70/26.10 tff(30613,plain,
% 39.70/26.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB52, constB53)) | v135(constB52) | (~v137(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB52, constB53)) | v135(constB52) | (~v137(constB53)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30614,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB52, constB53)) | v135(constB52) | (~v137(constB53)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30615,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB52, constB53)) | v135(constB52) | (~v137(constB53))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 39.70/26.10 tff(30616,plain,
% 39.70/26.10 (v135(constB52) | (~v137(constB53))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30615, 17043, 6341])).
% 39.70/26.10 tff(30617,plain,
% 39.70/26.10 (~v137(constB53)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30616, 30612])).
% 39.70/26.10 tff(30618,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB53) | (~v154(constB53)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB53) | (~v154(constB53)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30619,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB53) | (~v154(constB53)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30620,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB53) | (~v154(constB53))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30619, 30618])).
% 39.70/26.10 tff(30621,plain,
% 39.70/26.10 (~v154(constB53)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30620, 17105, 30617])).
% 39.70/26.10 tff(30622,plain,
% 39.70/26.10 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB53)) | (~v153(constB53)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB53)) | (~v153(constB53)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30623,plain,
% 39.70/26.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB53)) | (~v153(constB53)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30624,plain,
% 39.70/26.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB53)) | (~v153(constB53))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30623, 30622])).
% 39.70/26.10 tff(30625,plain,
% 39.70/26.10 (~v153(constB53)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30624, 17156, 23659])).
% 39.70/26.10 tff(30626,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB53) | v154(constB53) | (~v150(constB53)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB53) | v154(constB53) | (~v150(constB53)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30627,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB53) | v154(constB53) | (~v150(constB53)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30628,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB53) | v154(constB53) | (~v150(constB53))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30627, 30626])).
% 39.70/26.10 tff(30629,plain,
% 39.70/26.10 (v154(constB53) | (~v150(constB53))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30628, 17170, 30625])).
% 39.70/26.10 tff(30630,plain,
% 39.70/26.10 (~v150(constB53)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30629, 30621])).
% 39.70/26.10 tff(30631,plain,
% 39.70/26.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB53, constB54)) | v150(constB53) | (~v152(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB53, constB54)) | v150(constB53) | (~v152(constB54)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30632,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB53, constB54)) | v150(constB53) | (~v152(constB54)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30633,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB53, constB54)) | v150(constB53) | (~v152(constB54))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30632, 30631])).
% 39.70/26.10 tff(30634,plain,
% 39.70/26.10 (v150(constB53) | (~v152(constB54))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30633, 17185, 6450])).
% 39.70/26.10 tff(30635,plain,
% 39.70/26.10 (~v152(constB54)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30634, 30630])).
% 39.70/26.10 tff(30636,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB54) | (~v153(constB54)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB54) | (~v153(constB54)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30637,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB54) | (~v153(constB54)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30638,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB54) | (~v153(constB54))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30637, 30636])).
% 39.70/26.10 tff(30639,plain,
% 39.70/26.10 (~v153(constB54)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30638, 17197, 30635])).
% 39.70/26.10 tff(30640,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB54) | (~v154(constB54)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB54) | (~v154(constB54)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30641,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB54) | (~v154(constB54)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30642,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB54) | (~v154(constB54))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30641, 30640])).
% 39.70/26.10 tff(30643,plain,
% 39.70/26.10 (~v154(constB54)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30642, 17223, 23688])).
% 39.70/26.10 tff(30644,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB54) | v154(constB54) | (~v150(constB54)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB54) | v154(constB54) | (~v150(constB54)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30645,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB54) | v154(constB54) | (~v150(constB54)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30646,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB54) | v154(constB54) | (~v150(constB54))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30645, 30644])).
% 39.70/26.10 tff(30647,plain,
% 39.70/26.10 (v153(constB54) | (~v150(constB54))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30646, 17170, 30643])).
% 39.70/26.10 tff(30648,plain,
% 39.70/26.10 (~v150(constB54)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30647, 30639])).
% 39.70/26.10 tff(30649,plain,
% 39.70/26.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB54, constB55)) | v150(constB54) | (~v152(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB54, constB55)) | v150(constB54) | (~v152(constB55)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30650,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB54, constB55)) | v150(constB54) | (~v152(constB55)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30651,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB54, constB55)) | v150(constB54) | (~v152(constB55))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30650, 30649])).
% 39.70/26.10 tff(30652,plain,
% 39.70/26.10 (v150(constB54) | (~v152(constB55))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30651, 17185, 6629])).
% 39.70/26.10 tff(30653,plain,
% 39.70/26.10 (~v152(constB55)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30652, 30648])).
% 39.70/26.10 tff(30654,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB55) | (~v153(constB55)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB55) | (~v153(constB55)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30655,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB55) | (~v153(constB55)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30656,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB55) | (~v153(constB55))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30655, 30654])).
% 39.70/26.10 tff(30657,plain,
% 39.70/26.10 (~v153(constB55)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30656, 17197, 30653])).
% 39.70/26.10 tff(30658,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB55) | v154(constB55) | (~v150(constB55)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB55) | v154(constB55) | (~v150(constB55)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30659,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB55) | v154(constB55) | (~v150(constB55)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30660,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB55) | v154(constB55) | (~v150(constB55))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 39.70/26.10 tff(30661,plain,
% 39.70/26.10 (v154(constB55) | (~v150(constB55))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30660, 17170, 30657])).
% 39.70/26.10 tff(30662,plain,
% 39.70/26.10 (~v150(constB55)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30661, 30566])).
% 39.70/26.10 tff(30663,plain,
% 39.70/26.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30664,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30665,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 39.70/26.10 tff(30666,plain,
% 39.70/26.10 (v150(constB55) | (~v152(constB56))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30665, 17185, 6727])).
% 39.70/26.10 tff(30667,plain,
% 39.70/26.10 (~v152(constB56)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30666, 30662])).
% 39.70/26.10 tff(30668,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB56) | (~v153(constB56)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB56) | (~v153(constB56)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30669,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB56) | (~v153(constB56)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30670,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB56) | (~v153(constB56))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30669, 30668])).
% 39.70/26.10 tff(30671,plain,
% 39.70/26.10 (~v153(constB56)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30670, 17197, 30667])).
% 39.70/26.10 tff(30672,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB56) | (~v155(constB56)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB56) | (~v155(constB56)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30673,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB56) | (~v155(constB56)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30674,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB56) | (~v155(constB56))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30673, 30672])).
% 39.70/26.10 tff(30675,plain,
% 39.70/26.10 (~v155(constB56)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30674, 17212, 30211])).
% 39.70/26.10 tff(30676,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB56) | (~v154(constB56)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB56) | (~v154(constB56)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30677,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB56) | (~v154(constB56)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30678,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB56) | (~v154(constB56))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30677, 30676])).
% 39.70/26.10 tff(30679,plain,
% 39.70/26.10 (~v154(constB56)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30678, 17223, 30675])).
% 39.70/26.10 tff(30680,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB56) | v154(constB56) | (~v150(constB56)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB56) | v154(constB56) | (~v150(constB56)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30681,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB56) | v154(constB56) | (~v150(constB56)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30682,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB56) | v154(constB56) | (~v150(constB56))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30681, 30680])).
% 39.70/26.10 tff(30683,plain,
% 39.70/26.10 (v153(constB56) | (~v150(constB56))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30682, 17170, 30679])).
% 39.70/26.10 tff(30684,plain,
% 39.70/26.10 (~v150(constB56)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30683, 30671])).
% 39.70/26.10 tff(30685,plain,
% 39.70/26.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30686,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30687,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30686, 30685])).
% 39.70/26.10 tff(30688,plain,
% 39.70/26.10 (v150(constB56) | (~v152(constB57))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30687, 17185, 6938])).
% 39.70/26.10 tff(30689,plain,
% 39.70/26.10 (~v152(constB57)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30688, 30684])).
% 39.70/26.10 tff(30690,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB57) | (~v164(constB57)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB57) | (~v164(constB57)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30691,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB57) | (~v164(constB57)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30692,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB57) | (~v164(constB57))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30691, 30690])).
% 39.70/26.10 tff(30693,plain,
% 39.70/26.10 (~v164(constB57)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30692, 17247, 30689])).
% 39.70/26.10 tff(30694,plain,
% 39.70/26.10 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB57)) | (~v163(constB57)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB57)) | (~v163(constB57)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30695,plain,
% 39.70/26.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB57)) | (~v163(constB57)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30696,plain,
% 39.70/26.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB57)) | (~v163(constB57))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30695, 30694])).
% 39.70/26.10 tff(30697,plain,
% 39.70/26.10 (~v163(constB57)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30696, 17298, 30264])).
% 39.70/26.10 tff(30698,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB57)) | v163(constB57) | v164(constB57))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB57)) | v163(constB57) | v164(constB57))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30699,plain,
% 39.70/26.10 ((v164(constB57) | v163(constB57) | (~v160(constB57))) <=> ((~v160(constB57)) | v163(constB57) | v164(constB57))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30700,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB57) | v163(constB57) | (~v160(constB57)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB57)) | v163(constB57) | v164(constB57)))),
% 39.70/26.10 inference(monotonicity,[status(thm)],[30699])).
% 39.70/26.10 tff(30701,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB57) | v163(constB57) | (~v160(constB57)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB57)) | v163(constB57) | v164(constB57))),
% 39.70/26.10 inference(transitivity,[status(thm)],[30700, 30698])).
% 39.70/26.10 tff(30702,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB57) | v163(constB57) | (~v160(constB57)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30703,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB57)) | v163(constB57) | v164(constB57)),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30702, 30701])).
% 39.70/26.10 tff(30704,plain,
% 39.70/26.10 ((~v160(constB57)) | v164(constB57)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30703, 17312, 30697])).
% 39.70/26.10 tff(30705,plain,
% 39.70/26.10 (~v160(constB57)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30704, 30693])).
% 39.70/26.10 tff(30706,plain,
% 39.70/26.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30707,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30708,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30707, 30706])).
% 39.70/26.10 tff(30709,plain,
% 39.70/26.10 (v160(constB57) | (~v162(constB58))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30708, 17330, 7245])).
% 39.70/26.10 tff(30710,plain,
% 39.70/26.10 (~v162(constB58)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30709, 30705])).
% 39.70/26.10 tff(30711,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB58) | (~v163(constB58)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB58) | (~v163(constB58)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30712,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB58) | (~v163(constB58)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30713,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB58) | (~v163(constB58))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30712, 30711])).
% 39.70/26.10 tff(30714,plain,
% 39.70/26.10 (~v163(constB58)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30713, 17342, 30710])).
% 39.70/26.10 tff(30715,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB58) | (~v164(constB58)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB58) | (~v164(constB58)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30716,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB58) | (~v164(constB58)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30717,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB58) | (~v164(constB58))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30716, 30715])).
% 39.70/26.10 tff(30718,plain,
% 39.70/26.10 (~v164(constB58)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30717, 17361, 30290])).
% 39.70/26.10 tff(30719,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB58)) | v164(constB58) | v163(constB58))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB58)) | v164(constB58) | v163(constB58))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30720,plain,
% 39.70/26.10 ((v164(constB58) | v163(constB58) | (~v160(constB58))) <=> ((~v160(constB58)) | v164(constB58) | v163(constB58))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30721,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB58) | v163(constB58) | (~v160(constB58)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB58)) | v164(constB58) | v163(constB58)))),
% 39.70/26.10 inference(monotonicity,[status(thm)],[30720])).
% 39.70/26.10 tff(30722,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB58) | v163(constB58) | (~v160(constB58)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB58)) | v164(constB58) | v163(constB58))),
% 39.70/26.10 inference(transitivity,[status(thm)],[30721, 30719])).
% 39.70/26.10 tff(30723,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB58) | v163(constB58) | (~v160(constB58)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30724,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB58)) | v164(constB58) | v163(constB58)),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30723, 30722])).
% 39.70/26.10 tff(30725,plain,
% 39.70/26.10 ((~v160(constB58)) | v163(constB58)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30724, 17312, 30718])).
% 39.70/26.10 tff(30726,plain,
% 39.70/26.10 (~v160(constB58)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30725, 30714])).
% 39.70/26.10 tff(30727,plain,
% 39.70/26.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30728,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30729,plain,
% 39.70/26.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30728, 30727])).
% 39.70/26.10 tff(30730,plain,
% 39.70/26.10 (v160(constB58) | (~v162(constB59))),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30729, 17330, 7310])).
% 39.70/26.10 tff(30731,plain,
% 39.70/26.10 (~v162(constB59)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30730, 30726])).
% 39.70/26.10 tff(30732,plain,
% 39.70/26.10 ($false),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30731, 30562])).
% 39.70/26.10 tff(30733,plain,(~(constB59 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.10 tff(30734,assumption,(constB118 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.10 tff(30735,plain,
% 39.70/26.10 (v1(constB118) <=> v1(sK0_VarCurr)),
% 39.70/26.10 inference(monotonicity,[status(thm)],[30734])).
% 39.70/26.10 tff(30736,plain,
% 39.70/26.10 (v1(sK0_VarCurr) <=> v1(constB118)),
% 39.70/26.10 inference(symmetry,[status(thm)],[30735])).
% 39.70/26.10 tff(30737,plain,
% 39.70/26.10 ((~v1(sK0_VarCurr)) <=> (~v1(constB118))),
% 39.70/26.10 inference(monotonicity,[status(thm)],[30736])).
% 39.70/26.10 tff(30738,plain,
% 39.70/26.10 (~v1(constB118)),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[23858, 30737])).
% 39.70/26.10 tff(30739,plain,
% 39.70/26.10 ($false),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[13913, 30738])).
% 39.70/26.10 tff(30740,plain,(~(constB118 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.10 tff(30741,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.10 tff(30742,plain,
% 39.70/26.10 (v1(constB74) <=> v1(sK0_VarCurr)),
% 39.70/26.10 inference(monotonicity,[status(thm)],[30741])).
% 39.70/26.10 tff(30743,plain,
% 39.70/26.10 (v1(sK0_VarCurr) <=> v1(constB74)),
% 39.70/26.10 inference(symmetry,[status(thm)],[30742])).
% 39.70/26.10 tff(30744,plain,
% 39.70/26.10 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 39.70/26.10 inference(monotonicity,[status(thm)],[30743])).
% 39.70/26.10 tff(30745,plain,
% 39.70/26.10 (~v1(constB74)),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[23858, 30744])).
% 39.70/26.10 tff(30746,plain,
% 39.70/26.10 ($false),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[8886, 30745])).
% 39.70/26.10 tff(30747,plain,(~(constB74 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.10 tff(30748,assumption,(constB9 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.10 tff(30749,plain,
% 39.70/26.10 (v162(constB9) <=> v162(sK0_VarCurr)),
% 39.70/26.10 inference(monotonicity,[status(thm)],[30748])).
% 39.70/26.10 tff(30750,plain,
% 39.70/26.10 (v162(sK0_VarCurr) <=> v162(constB9)),
% 39.70/26.10 inference(symmetry,[status(thm)],[30749])).
% 39.70/26.10 tff(30751,plain,
% 39.70/26.10 (v162(constB9)),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[17398, 30750])).
% 39.70/26.10 tff(30752,plain,
% 39.70/26.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB3, bitIndex2)) | (~v145(constB3)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB3, bitIndex2)) | (~v145(constB3)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30753,plain,
% 39.70/26.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB3, bitIndex2)) | (~v145(constB3)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30754,plain,
% 39.70/26.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB3, bitIndex2)) | (~v145(constB3))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 39.70/26.10 tff(30755,plain,
% 39.70/26.10 (~v145(constB3)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30754, 5709, 552])).
% 39.70/26.10 tff(30756,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB3) | (~v144(constB3)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB3) | (~v144(constB3)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30757,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB3) | (~v144(constB3)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30758,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB3) | (~v144(constB3))),
% 39.70/26.10 inference(modus_ponens,[status(thm)],[30757, 30756])).
% 39.70/26.10 tff(30759,plain,
% 39.70/26.10 (~v144(constB3)),
% 39.70/26.10 inference(unit_resolution,[status(thm)],[30758, 17003, 30755])).
% 39.70/26.10 tff(30760,plain,
% 39.70/26.10 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB3) | (~v142(constB3)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB3) | (~v142(constB3)))),
% 39.70/26.10 inference(rewrite,[status(thm)],[])).
% 39.70/26.10 tff(30761,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB3) | (~v142(constB3)))),
% 39.70/26.10 inference(quant_inst,[status(thm)],[])).
% 39.70/26.10 tff(30762,plain,
% 39.70/26.10 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB3) | (~v142(constB3))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 39.70/26.11 tff(30763,plain,
% 39.70/26.11 (~v142(constB3)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30762, 17014, 30759])).
% 39.70/26.11 tff(30764,plain,
% 39.70/26.11 (v1(constB0) <=> v1(constB0)),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30765,axiom,(v1(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_201')).
% 39.70/26.11 tff(30766,plain,
% 39.70/26.11 (v1(constB0)),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30765, 30764])).
% 39.70/26.11 tff(30767,plain,
% 39.70/26.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB0)) | (~v141(constB0)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB0)) | (~v141(constB0)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30768,plain,
% 39.70/26.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB0)) | (~v141(constB0)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30769,plain,
% 39.70/26.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB0)) | (~v141(constB0))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30768, 30767])).
% 39.70/26.11 tff(30770,plain,
% 39.70/26.11 (~v141(constB0)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30769, 17066, 30766])).
% 39.70/26.11 tff(30771,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB0) | (~v144(constB0)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB0) | (~v144(constB0)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30772,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB0) | (~v144(constB0)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30773,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB0) | (~v144(constB0))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30772, 30771])).
% 39.70/26.11 tff(30774,plain,
% 39.70/26.11 (~v144(constB0)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30773, 17077, 30770])).
% 39.70/26.11 tff(30775,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB0) | (~v142(constB0)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB0) | (~v142(constB0)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30776,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB0) | (~v142(constB0)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30777,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB0) | (~v142(constB0))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30776, 30775])).
% 39.70/26.11 tff(30778,plain,
% 39.70/26.11 (~v142(constB0)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30777, 17014, 30774])).
% 39.70/26.11 tff(30779,plain,
% 39.70/26.11 ((~v137(constB0)) <=> (~v137(constB0))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30780,axiom,(~v137(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_5_1_1_1')).
% 39.70/26.11 tff(30781,plain,
% 39.70/26.11 (~v137(constB0)),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30780, 30779])).
% 39.70/26.11 tff(30782,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB0) | (~v138(constB0)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB0) | (~v138(constB0)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30783,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB0) | (~v138(constB0)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30784,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB0) | (~v138(constB0))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30783, 30782])).
% 39.70/26.11 tff(30785,plain,
% 39.70/26.11 (~v138(constB0)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30784, 30781, 17055])).
% 39.70/26.11 tff(30786,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB0) | v142(constB0) | (~v135(constB0)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB0) | v142(constB0) | (~v135(constB0)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30787,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB0) | v142(constB0) | (~v135(constB0)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30788,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB0) | v142(constB0) | (~v135(constB0))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30787, 30786])).
% 39.70/26.11 tff(30789,plain,
% 39.70/26.11 (v142(constB0) | (~v135(constB0))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30788, 17028, 30785])).
% 39.70/26.11 tff(30790,plain,
% 39.70/26.11 (~v135(constB0)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30789, 30778])).
% 39.70/26.11 tff(30791,plain,
% 39.70/26.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30792,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30793,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30792, 30791])).
% 39.70/26.11 tff(30794,plain,
% 39.70/26.11 (v135(constB0) | (~v137(constB1))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30793, 17043, 165])).
% 39.70/26.11 tff(30795,plain,
% 39.70/26.11 (~v137(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30794, 30790])).
% 39.70/26.11 tff(30796,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB1) | (~v138(constB1)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB1) | (~v138(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30797,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB1) | (~v138(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30798,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB1) | (~v138(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30797, 30796])).
% 39.70/26.11 tff(30799,plain,
% 39.70/26.11 (~v138(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30798, 17055, 30795])).
% 39.70/26.11 tff(30800,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB1, bitIndex0) | (~v145(constB1)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB1, bitIndex0) | (~v145(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30801,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB1, bitIndex0) | (~v145(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30802,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB1, bitIndex0) | (~v145(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30801, 30800])).
% 39.70/26.11 tff(30803,plain,
% 39.70/26.11 (~v145(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30802, 2357, 260])).
% 39.70/26.11 tff(30804,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB1) | (~v144(constB1)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB1) | (~v144(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30805,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB1) | (~v144(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30806,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB1) | (~v144(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30805, 30804])).
% 39.70/26.11 tff(30807,plain,
% 39.70/26.11 (~v144(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30806, 17003, 30803])).
% 39.70/26.11 tff(30808,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB1) | (~v142(constB1)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB1) | (~v142(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30809,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB1) | (~v142(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30810,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB1) | (~v142(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30809, 30808])).
% 39.70/26.11 tff(30811,plain,
% 39.70/26.11 (~v142(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30810, 17014, 30807])).
% 39.70/26.11 tff(30812,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB1) | v142(constB1) | (~v135(constB1)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB1) | v142(constB1) | (~v135(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30813,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB1) | v142(constB1) | (~v135(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30814,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB1) | v142(constB1) | (~v135(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30813, 30812])).
% 39.70/26.11 tff(30815,plain,
% 39.70/26.11 (~v135(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30814, 17028, 30811, 30799])).
% 39.70/26.11 tff(30816,plain,
% 39.70/26.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30817,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30818,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30817, 30816])).
% 39.70/26.11 tff(30819,plain,
% 39.70/26.11 (v135(constB1) | (~v137(constB2))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30818, 17043, 369])).
% 39.70/26.11 tff(30820,plain,
% 39.70/26.11 (~v137(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30819, 30815])).
% 39.70/26.11 tff(30821,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB2) | (~v138(constB2)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB2) | (~v138(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30822,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB2) | (~v138(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30823,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB2) | (~v138(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30822, 30821])).
% 39.70/26.11 tff(30824,plain,
% 39.70/26.11 (~v138(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30823, 17055, 30820])).
% 39.70/26.11 tff(30825,plain,
% 39.70/26.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB2)) | (~v141(constB2)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB2)) | (~v141(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30826,plain,
% 39.70/26.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB2)) | (~v141(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30827,plain,
% 39.70/26.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB2)) | (~v141(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30826, 30825])).
% 39.70/26.11 tff(30828,plain,
% 39.70/26.11 (~v141(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30827, 17066, 419])).
% 39.70/26.11 tff(30829,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB2) | (~v144(constB2)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB2) | (~v144(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30830,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB2) | (~v144(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30831,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB2) | (~v144(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30830, 30829])).
% 39.70/26.11 tff(30832,plain,
% 39.70/26.11 (~v144(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30831, 17077, 30828])).
% 39.70/26.11 tff(30833,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB2) | (~v142(constB2)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB2) | (~v142(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30834,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB2) | (~v142(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30835,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB2) | (~v142(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30834, 30833])).
% 39.70/26.11 tff(30836,plain,
% 39.70/26.11 (~v142(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30835, 17014, 30832])).
% 39.70/26.11 tff(30837,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB2) | v142(constB2) | (~v135(constB2)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB2) | v142(constB2) | (~v135(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30838,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB2) | v142(constB2) | (~v135(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30839,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB2) | v142(constB2) | (~v135(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30838, 30837])).
% 39.70/26.11 tff(30840,plain,
% 39.70/26.11 (v138(constB2) | (~v135(constB2))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30839, 17028, 30836])).
% 39.70/26.11 tff(30841,plain,
% 39.70/26.11 (~v135(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30840, 30824])).
% 39.70/26.11 tff(30842,plain,
% 39.70/26.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30843,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30844,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30843, 30842])).
% 39.70/26.11 tff(30845,plain,
% 39.70/26.11 (v135(constB2) | (~v137(constB3))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30844, 17043, 521])).
% 39.70/26.11 tff(30846,plain,
% 39.70/26.11 (~v137(constB3)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30845, 30841])).
% 39.70/26.11 tff(30847,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB3) | (~v138(constB3)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB3) | (~v138(constB3)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30848,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB3) | (~v138(constB3)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30849,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB3) | (~v138(constB3))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30848, 30847])).
% 39.70/26.11 tff(30850,plain,
% 39.70/26.11 (~v138(constB3)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30849, 17055, 30846])).
% 39.70/26.11 tff(30851,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB3) | v142(constB3) | (~v135(constB3)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB3) | v142(constB3) | (~v135(constB3)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30852,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB3) | v142(constB3) | (~v135(constB3)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30853,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB3) | v142(constB3) | (~v135(constB3))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30852, 30851])).
% 39.70/26.11 tff(30854,plain,
% 39.70/26.11 (v142(constB3) | (~v135(constB3))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30853, 17028, 30850])).
% 39.70/26.11 tff(30855,plain,
% 39.70/26.11 (~v135(constB3)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30854, 30763])).
% 39.70/26.11 tff(30856,plain,
% 39.70/26.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB3, constB4)) | v135(constB3) | (~v137(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB3, constB4)) | v135(constB3) | (~v137(constB4)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30857,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB3, constB4)) | v135(constB3) | (~v137(constB4)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30858,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB3, constB4)) | v135(constB3) | (~v137(constB4))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30857, 30856])).
% 39.70/26.11 tff(30859,plain,
% 39.70/26.11 (v135(constB3) | (~v137(constB4))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30858, 17043, 736])).
% 39.70/26.11 tff(30860,plain,
% 39.70/26.11 (~v137(constB4)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30859, 30855])).
% 39.70/26.11 tff(30861,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB4) | (~v138(constB4)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB4) | (~v138(constB4)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30862,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB4) | (~v138(constB4)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30863,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB4) | (~v138(constB4))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30862, 30861])).
% 39.70/26.11 tff(30864,plain,
% 39.70/26.11 (~v138(constB4)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30863, 17055, 30860])).
% 39.70/26.11 tff(30865,plain,
% 39.70/26.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB4)) | (~v141(constB4)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB4)) | (~v141(constB4)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30866,plain,
% 39.70/26.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB4)) | (~v141(constB4)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30867,plain,
% 39.70/26.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB4)) | (~v141(constB4))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30866, 30865])).
% 39.70/26.11 tff(30868,plain,
% 39.70/26.11 (~v141(constB4)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30867, 17066, 802])).
% 39.70/26.11 tff(30869,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB4) | (~v144(constB4)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB4) | (~v144(constB4)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30870,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB4) | (~v144(constB4)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30871,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB4) | (~v144(constB4))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30870, 30869])).
% 39.70/26.11 tff(30872,plain,
% 39.70/26.11 (~v144(constB4)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30871, 17077, 30868])).
% 39.70/26.11 tff(30873,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB4) | (~v142(constB4)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB4) | (~v142(constB4)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30874,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB4) | (~v142(constB4)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30875,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB4) | (~v142(constB4))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30874, 30873])).
% 39.70/26.11 tff(30876,plain,
% 39.70/26.11 (~v142(constB4)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30875, 17014, 30872])).
% 39.70/26.11 tff(30877,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB4) | v142(constB4) | (~v135(constB4)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB4) | v142(constB4) | (~v135(constB4)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30878,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB4) | v142(constB4) | (~v135(constB4)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30879,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB4) | v142(constB4) | (~v135(constB4))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30878, 30877])).
% 39.70/26.11 tff(30880,plain,
% 39.70/26.11 (v138(constB4) | (~v135(constB4))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30879, 17028, 30876])).
% 39.70/26.11 tff(30881,plain,
% 39.70/26.11 (~v135(constB4)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30880, 30864])).
% 39.70/26.11 tff(30882,plain,
% 39.70/26.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB4, constB5)) | v135(constB4) | (~v137(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB4, constB5)) | v135(constB4) | (~v137(constB5)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30883,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB4, constB5)) | v135(constB4) | (~v137(constB5)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30884,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB4, constB5)) | v135(constB4) | (~v137(constB5))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 39.70/26.11 tff(30885,plain,
% 39.70/26.11 (v135(constB4) | (~v137(constB5))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30884, 17043, 830])).
% 39.70/26.11 tff(30886,plain,
% 39.70/26.11 (~v137(constB5)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30885, 30881])).
% 39.70/26.11 tff(30887,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB5) | (~v154(constB5)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB5) | (~v154(constB5)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30888,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB5) | (~v154(constB5)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30889,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB5) | (~v154(constB5))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 39.70/26.11 tff(30890,plain,
% 39.70/26.11 (~v154(constB5)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30889, 17105, 30886])).
% 39.70/26.11 tff(30891,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB3) | (~v154(constB3)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB3) | (~v154(constB3)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30892,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB3) | (~v154(constB3)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30893,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB3) | (~v154(constB3))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30892, 30891])).
% 39.70/26.11 tff(30894,plain,
% 39.70/26.11 (~v154(constB3)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30893, 17105, 30846])).
% 39.70/26.11 tff(30895,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB1) | (~v154(constB1)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB1) | (~v154(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30896,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB1) | (~v154(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30897,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB1) | (~v154(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30896, 30895])).
% 39.70/26.11 tff(30898,plain,
% 39.70/26.11 (~v154(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30897, 17105, 30795])).
% 39.70/26.11 tff(30899,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB0) | (~v153(constB0)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB0) | (~v153(constB0)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30900,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB0) | (~v153(constB0)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30901,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB0) | (~v153(constB0))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30900, 30899])).
% 39.70/26.11 tff(30902,plain,
% 39.70/26.11 (~v153(constB0)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30901, 28235, 17197])).
% 39.70/26.11 tff(30903,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB0) | (~v154(constB0)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB0) | (~v154(constB0)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30904,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB0) | (~v154(constB0)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30905,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB0) | (~v154(constB0))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30904, 30903])).
% 39.70/26.11 tff(30906,plain,
% 39.70/26.11 (~v154(constB0)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30905, 30781, 17105])).
% 39.70/26.11 tff(30907,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB0) | v154(constB0) | (~v150(constB0)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB0) | v154(constB0) | (~v150(constB0)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30908,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB0) | v154(constB0) | (~v150(constB0)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30909,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB0) | v154(constB0) | (~v150(constB0))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30908, 30907])).
% 39.70/26.11 tff(30910,plain,
% 39.70/26.11 (~v150(constB0)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30909, 17170, 30906, 30902])).
% 39.70/26.11 tff(30911,plain,
% 39.70/26.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30912,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30913,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30912, 30911])).
% 39.70/26.11 tff(30914,plain,
% 39.70/26.11 (v150(constB0) | (~v152(constB1))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30913, 17185, 165])).
% 39.70/26.11 tff(30915,plain,
% 39.70/26.11 (~v152(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30914, 30910])).
% 39.70/26.11 tff(30916,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB1) | (~v153(constB1)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB1) | (~v153(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30917,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB1) | (~v153(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30918,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB1) | (~v153(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30917, 30916])).
% 39.70/26.11 tff(30919,plain,
% 39.70/26.11 (~v153(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30918, 17197, 30915])).
% 39.70/26.11 tff(30920,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB1) | v154(constB1) | (~v150(constB1)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB1) | v154(constB1) | (~v150(constB1)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30921,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB1) | v154(constB1) | (~v150(constB1)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30922,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB1) | v154(constB1) | (~v150(constB1))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30921, 30920])).
% 39.70/26.11 tff(30923,plain,
% 39.70/26.11 (v154(constB1) | (~v150(constB1))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30922, 17170, 30919])).
% 39.70/26.11 tff(30924,plain,
% 39.70/26.11 (~v150(constB1)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30923, 30898])).
% 39.70/26.11 tff(30925,plain,
% 39.70/26.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30926,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30927,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30926, 30925])).
% 39.70/26.11 tff(30928,plain,
% 39.70/26.11 (v150(constB1) | (~v152(constB2))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30927, 17185, 369])).
% 39.70/26.11 tff(30929,plain,
% 39.70/26.11 (~v152(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30928, 30924])).
% 39.70/26.11 tff(30930,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB2) | (~v153(constB2)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB2) | (~v153(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30931,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB2) | (~v153(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30932,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB2) | (~v153(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30931, 30930])).
% 39.70/26.11 tff(30933,plain,
% 39.70/26.11 (~v153(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30932, 17197, 30929])).
% 39.70/26.11 tff(30934,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB2) | (~v155(constB2)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB2) | (~v155(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30935,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB2) | (~v155(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30936,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB2) | (~v155(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30935, 30934])).
% 39.70/26.11 tff(30937,plain,
% 39.70/26.11 (~v155(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30936, 17212, 30828])).
% 39.70/26.11 tff(30938,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB2) | (~v154(constB2)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB2) | (~v154(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30939,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB2) | (~v154(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30940,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB2) | (~v154(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30939, 30938])).
% 39.70/26.11 tff(30941,plain,
% 39.70/26.11 (~v154(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30940, 17223, 30937])).
% 39.70/26.11 tff(30942,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB2) | v154(constB2) | (~v150(constB2)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB2) | v154(constB2) | (~v150(constB2)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30943,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB2) | v154(constB2) | (~v150(constB2)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30944,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB2) | v154(constB2) | (~v150(constB2))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30943, 30942])).
% 39.70/26.11 tff(30945,plain,
% 39.70/26.11 (v153(constB2) | (~v150(constB2))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30944, 17170, 30941])).
% 39.70/26.11 tff(30946,plain,
% 39.70/26.11 (~v150(constB2)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30945, 30933])).
% 39.70/26.11 tff(30947,plain,
% 39.70/26.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30948,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.11 tff(30949,plain,
% 39.70/26.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3))),
% 39.70/26.11 inference(modus_ponens,[status(thm)],[30948, 30947])).
% 39.70/26.11 tff(30950,plain,
% 39.70/26.11 (v150(constB2) | (~v152(constB3))),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30949, 17185, 521])).
% 39.70/26.11 tff(30951,plain,
% 39.70/26.11 (~v152(constB3)),
% 39.70/26.11 inference(unit_resolution,[status(thm)],[30950, 30946])).
% 39.70/26.11 tff(30952,plain,
% 39.70/26.11 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB3) | (~v153(constB3)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB3) | (~v153(constB3)))),
% 39.70/26.11 inference(rewrite,[status(thm)],[])).
% 39.70/26.11 tff(30953,plain,
% 39.70/26.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB3) | (~v153(constB3)))),
% 39.70/26.11 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30954,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB3) | (~v153(constB3))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30953, 30952])).
% 39.70/26.12 tff(30955,plain,
% 39.70/26.12 (~v153(constB3)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30954, 17197, 30951])).
% 39.70/26.12 tff(30956,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB3) | v154(constB3) | (~v150(constB3)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB3) | v154(constB3) | (~v150(constB3)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30957,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB3) | v154(constB3) | (~v150(constB3)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30958,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB3) | v154(constB3) | (~v150(constB3))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30957, 30956])).
% 39.70/26.12 tff(30959,plain,
% 39.70/26.12 (v154(constB3) | (~v150(constB3))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30958, 17170, 30955])).
% 39.70/26.12 tff(30960,plain,
% 39.70/26.12 (~v150(constB3)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30959, 30894])).
% 39.70/26.12 tff(30961,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30962,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30963,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30962, 30961])).
% 39.70/26.12 tff(30964,plain,
% 39.70/26.12 (v150(constB3) | (~v152(constB4))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30963, 17185, 736])).
% 39.70/26.12 tff(30965,plain,
% 39.70/26.12 (~v152(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30964, 30960])).
% 39.70/26.12 tff(30966,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB4) | (~v153(constB4)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB4) | (~v153(constB4)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30967,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB4) | (~v153(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30968,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB4) | (~v153(constB4))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30967, 30966])).
% 39.70/26.12 tff(30969,plain,
% 39.70/26.12 (~v153(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30968, 17197, 30965])).
% 39.70/26.12 tff(30970,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB4) | (~v155(constB4)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB4) | (~v155(constB4)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30971,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB4) | (~v155(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30972,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB4) | (~v155(constB4))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30971, 30970])).
% 39.70/26.12 tff(30973,plain,
% 39.70/26.12 (~v155(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30972, 17212, 30868])).
% 39.70/26.12 tff(30974,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB4) | (~v154(constB4)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB4) | (~v154(constB4)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30975,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB4) | (~v154(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30976,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB4) | (~v154(constB4))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30975, 30974])).
% 39.70/26.12 tff(30977,plain,
% 39.70/26.12 (~v154(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30976, 17223, 30973])).
% 39.70/26.12 tff(30978,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB4) | v154(constB4) | (~v150(constB4)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB4) | v154(constB4) | (~v150(constB4)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30979,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB4) | v154(constB4) | (~v150(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30980,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB4) | v154(constB4) | (~v150(constB4))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30979, 30978])).
% 39.70/26.12 tff(30981,plain,
% 39.70/26.12 (v153(constB4) | (~v150(constB4))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30980, 17170, 30977])).
% 39.70/26.12 tff(30982,plain,
% 39.70/26.12 (~v150(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30981, 30969])).
% 39.70/26.12 tff(30983,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30984,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30985,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30984, 30983])).
% 39.70/26.12 tff(30986,plain,
% 39.70/26.12 (v150(constB4) | (~v152(constB5))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30985, 17185, 830])).
% 39.70/26.12 tff(30987,plain,
% 39.70/26.12 (~v152(constB5)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30986, 30982])).
% 39.70/26.12 tff(30988,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB5) | (~v153(constB5)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB5) | (~v153(constB5)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30989,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB5) | (~v153(constB5)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30990,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB5) | (~v153(constB5))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30989, 30988])).
% 39.70/26.12 tff(30991,plain,
% 39.70/26.12 (~v153(constB5)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30990, 17197, 30987])).
% 39.70/26.12 tff(30992,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB5) | v154(constB5) | (~v150(constB5)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB5) | v154(constB5) | (~v150(constB5)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30993,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB5) | v154(constB5) | (~v150(constB5)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30994,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB5) | v154(constB5) | (~v150(constB5))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30993, 30992])).
% 39.70/26.12 tff(30995,plain,
% 39.70/26.12 (v154(constB5) | (~v150(constB5))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30994, 17170, 30991])).
% 39.70/26.12 tff(30996,plain,
% 39.70/26.12 (~v150(constB5)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30995, 30890])).
% 39.70/26.12 tff(30997,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB5, constB6)) | v150(constB5) | (~v152(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB5, constB6)) | v150(constB5) | (~v152(constB6)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(30998,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB5, constB6)) | v150(constB5) | (~v152(constB6)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(30999,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB5, constB6)) | v150(constB5) | (~v152(constB6))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[30998, 30997])).
% 39.70/26.12 tff(31000,plain,
% 39.70/26.12 (v150(constB5) | (~v152(constB6))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[30999, 17185, 1017])).
% 39.70/26.12 tff(31001,plain,
% 39.70/26.12 (~v152(constB6)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31000, 30996])).
% 39.70/26.12 tff(31002,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB6) | (~v153(constB6)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB6) | (~v153(constB6)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31003,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB6) | (~v153(constB6)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31004,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB6) | (~v153(constB6))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31003, 31002])).
% 39.70/26.12 tff(31005,plain,
% 39.70/26.12 (~v153(constB6)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31004, 17197, 31001])).
% 39.70/26.12 tff(31006,plain,
% 39.70/26.12 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB6)) | (~v141(constB6)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB6)) | (~v141(constB6)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31007,plain,
% 39.70/26.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB6)) | (~v141(constB6)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31008,plain,
% 39.70/26.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB6)) | (~v141(constB6))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31007, 31006])).
% 39.70/26.12 tff(31009,plain,
% 39.70/26.12 (~v141(constB6)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31008, 17066, 1037])).
% 39.70/26.12 tff(31010,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB6) | (~v155(constB6)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB6) | (~v155(constB6)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31011,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB6) | (~v155(constB6)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31012,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB6) | (~v155(constB6))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31011, 31010])).
% 39.70/26.12 tff(31013,plain,
% 39.70/26.12 (~v155(constB6)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31012, 17212, 31009])).
% 39.70/26.12 tff(31014,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB6) | (~v154(constB6)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB6) | (~v154(constB6)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31015,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB6) | (~v154(constB6)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31016,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB6) | (~v154(constB6))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31015, 31014])).
% 39.70/26.12 tff(31017,plain,
% 39.70/26.12 (~v154(constB6)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31016, 17223, 31013])).
% 39.70/26.12 tff(31018,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB6) | v154(constB6) | (~v150(constB6)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB6) | v154(constB6) | (~v150(constB6)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31019,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB6) | v154(constB6) | (~v150(constB6)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31020,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB6) | v154(constB6) | (~v150(constB6))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31019, 31018])).
% 39.70/26.12 tff(31021,plain,
% 39.70/26.12 (v153(constB6) | (~v150(constB6))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31020, 17170, 31017])).
% 39.70/26.12 tff(31022,plain,
% 39.70/26.12 (~v150(constB6)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31021, 31005])).
% 39.70/26.12 tff(31023,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB6, constB7)) | v150(constB6) | (~v152(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB6, constB7)) | v150(constB6) | (~v152(constB7)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31024,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB6, constB7)) | v150(constB6) | (~v152(constB7)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31025,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB6, constB7)) | v150(constB6) | (~v152(constB7))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31024, 31023])).
% 39.70/26.12 tff(31026,plain,
% 39.70/26.12 (v150(constB6) | (~v152(constB7))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31025, 17185, 1194])).
% 39.70/26.12 tff(31027,plain,
% 39.70/26.12 (~v152(constB7)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31026, 31022])).
% 39.70/26.12 tff(31028,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB7) | (~v164(constB7)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB7) | (~v164(constB7)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31029,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB7) | (~v164(constB7)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31030,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB7) | (~v164(constB7))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31029, 31028])).
% 39.70/26.12 tff(31031,plain,
% 39.70/26.12 (~v164(constB7)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31030, 17247, 31027])).
% 39.70/26.12 tff(31032,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB5) | (~v164(constB5)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB5) | (~v164(constB5)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31033,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB5) | (~v164(constB5)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31034,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB5) | (~v164(constB5))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31033, 31032])).
% 39.70/26.12 tff(31035,plain,
% 39.70/26.12 (~v164(constB5)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31034, 17247, 30987])).
% 39.70/26.12 tff(31036,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB3) | (~v164(constB3)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB3) | (~v164(constB3)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31037,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB3) | (~v164(constB3)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31038,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB3) | (~v164(constB3))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31037, 31036])).
% 39.70/26.12 tff(31039,plain,
% 39.70/26.12 (~v164(constB3)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31038, 17247, 30951])).
% 39.70/26.12 tff(31040,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB1) | (~v163(constB1)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB1) | (~v163(constB1)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31041,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB1) | (~v163(constB1)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31042,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB1) | (~v163(constB1))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 39.70/26.12 tff(31043,plain,
% 39.70/26.12 (~v163(constB1)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31042, 17342, 28251])).
% 39.70/26.12 tff(31044,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB1) | (~v164(constB1)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB1) | (~v164(constB1)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31045,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB1) | (~v164(constB1)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31046,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB1) | (~v164(constB1))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 39.70/26.12 tff(31047,plain,
% 39.70/26.12 (~v164(constB1)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31046, 17247, 30915])).
% 39.70/26.12 tff(31048,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB1)) | v164(constB1) | v163(constB1))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB1)) | v164(constB1) | v163(constB1))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31049,plain,
% 39.70/26.12 ((v164(constB1) | v163(constB1) | (~v160(constB1))) <=> ((~v160(constB1)) | v164(constB1) | v163(constB1))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31050,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB1) | v163(constB1) | (~v160(constB1)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB1)) | v164(constB1) | v163(constB1)))),
% 39.70/26.12 inference(monotonicity,[status(thm)],[31049])).
% 39.70/26.12 tff(31051,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB1) | v163(constB1) | (~v160(constB1)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB1)) | v164(constB1) | v163(constB1))),
% 39.70/26.12 inference(transitivity,[status(thm)],[31050, 31048])).
% 39.70/26.12 tff(31052,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB1) | v163(constB1) | (~v160(constB1)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31053,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB1)) | v164(constB1) | v163(constB1)),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31052, 31051])).
% 39.70/26.12 tff(31054,plain,
% 39.70/26.12 (~v160(constB1)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31053, 17312, 31047, 31043])).
% 39.70/26.12 tff(31055,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31056,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31057,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 39.70/26.12 tff(31058,plain,
% 39.70/26.12 (v160(constB1) | (~v162(constB2))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31057, 17330, 369])).
% 39.70/26.12 tff(31059,plain,
% 39.70/26.12 (~v162(constB2)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31058, 31054])).
% 39.70/26.12 tff(31060,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB2) | (~v163(constB2)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB2) | (~v163(constB2)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31061,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB2) | (~v163(constB2)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31062,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB2) | (~v163(constB2))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31061, 31060])).
% 39.70/26.12 tff(31063,plain,
% 39.70/26.12 (~v163(constB2)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31062, 17342, 31059])).
% 39.70/26.12 tff(31064,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB2) | (~v164(constB2)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB2) | (~v164(constB2)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31065,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB2) | (~v164(constB2)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31066,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB2) | (~v164(constB2))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31065, 31064])).
% 39.70/26.12 tff(31067,plain,
% 39.70/26.12 (~v164(constB2)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31066, 17361, 30937])).
% 39.70/26.12 tff(31068,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB2)) | v164(constB2) | v163(constB2))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB2)) | v164(constB2) | v163(constB2))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31069,plain,
% 39.70/26.12 ((v164(constB2) | v163(constB2) | (~v160(constB2))) <=> ((~v160(constB2)) | v164(constB2) | v163(constB2))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31070,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB2) | v163(constB2) | (~v160(constB2)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB2)) | v164(constB2) | v163(constB2)))),
% 39.70/26.12 inference(monotonicity,[status(thm)],[31069])).
% 39.70/26.12 tff(31071,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB2) | v163(constB2) | (~v160(constB2)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB2)) | v164(constB2) | v163(constB2))),
% 39.70/26.12 inference(transitivity,[status(thm)],[31070, 31068])).
% 39.70/26.12 tff(31072,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB2) | v163(constB2) | (~v160(constB2)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31073,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB2)) | v164(constB2) | v163(constB2)),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31072, 31071])).
% 39.70/26.12 tff(31074,plain,
% 39.70/26.12 ((~v160(constB2)) | v163(constB2)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31073, 17312, 31067])).
% 39.70/26.12 tff(31075,plain,
% 39.70/26.12 (~v160(constB2)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31074, 31063])).
% 39.70/26.12 tff(31076,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31077,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31078,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31077, 31076])).
% 39.70/26.12 tff(31079,plain,
% 39.70/26.12 (v160(constB2) | (~v162(constB3))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31078, 17330, 521])).
% 39.70/26.12 tff(31080,plain,
% 39.70/26.12 (~v162(constB3)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31079, 31075])).
% 39.70/26.12 tff(31081,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB3) | (~v163(constB3)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB3) | (~v163(constB3)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31082,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB3) | (~v163(constB3)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31083,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB3) | (~v163(constB3))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31082, 31081])).
% 39.70/26.12 tff(31084,plain,
% 39.70/26.12 (~v163(constB3)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31083, 17342, 31080])).
% 39.70/26.12 tff(31085,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB3)) | v163(constB3) | v164(constB3))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB3)) | v163(constB3) | v164(constB3))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31086,plain,
% 39.70/26.12 ((v164(constB3) | v163(constB3) | (~v160(constB3))) <=> ((~v160(constB3)) | v163(constB3) | v164(constB3))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31087,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB3) | v163(constB3) | (~v160(constB3)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB3)) | v163(constB3) | v164(constB3)))),
% 39.70/26.12 inference(monotonicity,[status(thm)],[31086])).
% 39.70/26.12 tff(31088,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB3) | v163(constB3) | (~v160(constB3)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB3)) | v163(constB3) | v164(constB3))),
% 39.70/26.12 inference(transitivity,[status(thm)],[31087, 31085])).
% 39.70/26.12 tff(31089,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB3) | v163(constB3) | (~v160(constB3)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31090,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB3)) | v163(constB3) | v164(constB3)),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31089, 31088])).
% 39.70/26.12 tff(31091,plain,
% 39.70/26.12 (~v160(constB3)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31090, 17312, 31084, 31039])).
% 39.70/26.12 tff(31092,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31093,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31094,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31093, 31092])).
% 39.70/26.12 tff(31095,plain,
% 39.70/26.12 (v160(constB3) | (~v162(constB4))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31094, 17330, 736])).
% 39.70/26.12 tff(31096,plain,
% 39.70/26.12 (~v162(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31095, 31091])).
% 39.70/26.12 tff(31097,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB4) | (~v163(constB4)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB4) | (~v163(constB4)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31098,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB4) | (~v163(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31099,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB4) | (~v163(constB4))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31098, 31097])).
% 39.70/26.12 tff(31100,plain,
% 39.70/26.12 (~v163(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31099, 17342, 31096])).
% 39.70/26.12 tff(31101,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB4) | (~v164(constB4)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB4) | (~v164(constB4)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31102,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB4) | (~v164(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31103,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB4) | (~v164(constB4))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31102, 31101])).
% 39.70/26.12 tff(31104,plain,
% 39.70/26.12 (~v164(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31103, 17361, 30973])).
% 39.70/26.12 tff(31105,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB4)) | v164(constB4) | v163(constB4))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB4)) | v164(constB4) | v163(constB4))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31106,plain,
% 39.70/26.12 ((v164(constB4) | v163(constB4) | (~v160(constB4))) <=> ((~v160(constB4)) | v164(constB4) | v163(constB4))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31107,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB4) | v163(constB4) | (~v160(constB4)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB4)) | v164(constB4) | v163(constB4)))),
% 39.70/26.12 inference(monotonicity,[status(thm)],[31106])).
% 39.70/26.12 tff(31108,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB4) | v163(constB4) | (~v160(constB4)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB4)) | v164(constB4) | v163(constB4))),
% 39.70/26.12 inference(transitivity,[status(thm)],[31107, 31105])).
% 39.70/26.12 tff(31109,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB4) | v163(constB4) | (~v160(constB4)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31110,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB4)) | v164(constB4) | v163(constB4)),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31109, 31108])).
% 39.70/26.12 tff(31111,plain,
% 39.70/26.12 ((~v160(constB4)) | v163(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31110, 17312, 31104])).
% 39.70/26.12 tff(31112,plain,
% 39.70/26.12 (~v160(constB4)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31111, 31100])).
% 39.70/26.12 tff(31113,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31114,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31115,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31114, 31113])).
% 39.70/26.12 tff(31116,plain,
% 39.70/26.12 (v160(constB4) | (~v162(constB5))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31115, 17330, 830])).
% 39.70/26.12 tff(31117,plain,
% 39.70/26.12 (~v162(constB5)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31116, 31112])).
% 39.70/26.12 tff(31118,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB5) | (~v163(constB5)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB5) | (~v163(constB5)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31119,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB5) | (~v163(constB5)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31120,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB5) | (~v163(constB5))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31119, 31118])).
% 39.70/26.12 tff(31121,plain,
% 39.70/26.12 (~v163(constB5)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31120, 17342, 31117])).
% 39.70/26.12 tff(31122,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB5)) | v163(constB5) | v164(constB5))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB5)) | v163(constB5) | v164(constB5))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31123,plain,
% 39.70/26.12 ((v164(constB5) | v163(constB5) | (~v160(constB5))) <=> ((~v160(constB5)) | v163(constB5) | v164(constB5))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31124,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB5) | v163(constB5) | (~v160(constB5)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB5)) | v163(constB5) | v164(constB5)))),
% 39.70/26.12 inference(monotonicity,[status(thm)],[31123])).
% 39.70/26.12 tff(31125,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB5) | v163(constB5) | (~v160(constB5)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB5)) | v163(constB5) | v164(constB5))),
% 39.70/26.12 inference(transitivity,[status(thm)],[31124, 31122])).
% 39.70/26.12 tff(31126,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB5) | v163(constB5) | (~v160(constB5)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31127,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB5)) | v163(constB5) | v164(constB5)),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31126, 31125])).
% 39.70/26.12 tff(31128,plain,
% 39.70/26.12 (~v160(constB5)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31127, 17312, 31121, 31035])).
% 39.70/26.12 tff(31129,plain,
% 39.70/26.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31130,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31131,plain,
% 39.70/26.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31130, 31129])).
% 39.70/26.12 tff(31132,plain,
% 39.70/26.12 (v160(constB5) | (~v162(constB6))),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31131, 17330, 1017])).
% 39.70/26.12 tff(31133,plain,
% 39.70/26.12 (~v162(constB6)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31132, 31128])).
% 39.70/26.12 tff(31134,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB6) | (~v163(constB6)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB6) | (~v163(constB6)))),
% 39.70/26.12 inference(rewrite,[status(thm)],[])).
% 39.70/26.12 tff(31135,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB6) | (~v163(constB6)))),
% 39.70/26.12 inference(quant_inst,[status(thm)],[])).
% 39.70/26.12 tff(31136,plain,
% 39.70/26.12 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB6) | (~v163(constB6))),
% 39.70/26.12 inference(modus_ponens,[status(thm)],[31135, 31134])).
% 39.70/26.12 tff(31137,plain,
% 39.70/26.12 (~v163(constB6)),
% 39.70/26.12 inference(unit_resolution,[status(thm)],[31136, 17342, 31133])).
% 39.70/26.12 tff(31138,plain,
% 39.70/26.12 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB6) | (~v164(constB6)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB6) | (~v164(constB6)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31139,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB6) | (~v164(constB6)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31140,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB6) | (~v164(constB6))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31139, 31138])).
% 39.70/26.13 tff(31141,plain,
% 39.70/26.13 (~v164(constB6)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31140, 17361, 31013])).
% 39.70/26.13 tff(31142,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB6)) | v164(constB6) | v163(constB6))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB6)) | v164(constB6) | v163(constB6))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31143,plain,
% 39.70/26.13 ((v164(constB6) | v163(constB6) | (~v160(constB6))) <=> ((~v160(constB6)) | v164(constB6) | v163(constB6))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31144,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB6) | v163(constB6) | (~v160(constB6)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB6)) | v164(constB6) | v163(constB6)))),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31143])).
% 39.70/26.13 tff(31145,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB6) | v163(constB6) | (~v160(constB6)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB6)) | v164(constB6) | v163(constB6))),
% 39.70/26.13 inference(transitivity,[status(thm)],[31144, 31142])).
% 39.70/26.13 tff(31146,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB6) | v163(constB6) | (~v160(constB6)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31147,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB6)) | v164(constB6) | v163(constB6)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31146, 31145])).
% 39.70/26.13 tff(31148,plain,
% 39.70/26.13 ((~v160(constB6)) | v163(constB6)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31147, 17312, 31141])).
% 39.70/26.13 tff(31149,plain,
% 39.70/26.13 (~v160(constB6)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31148, 31137])).
% 39.70/26.13 tff(31150,plain,
% 39.70/26.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31151,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31152,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31151, 31150])).
% 39.70/26.13 tff(31153,plain,
% 39.70/26.13 (v160(constB6) | (~v162(constB7))),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31152, 17330, 1194])).
% 39.70/26.13 tff(31154,plain,
% 39.70/26.13 (~v162(constB7)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31153, 31149])).
% 39.70/26.13 tff(31155,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB7) | (~v163(constB7)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB7) | (~v163(constB7)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31156,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB7) | (~v163(constB7)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31157,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB7) | (~v163(constB7))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31156, 31155])).
% 39.70/26.13 tff(31158,plain,
% 39.70/26.13 (~v163(constB7)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31157, 17342, 31154])).
% 39.70/26.13 tff(31159,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB7)) | v163(constB7) | v164(constB7))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB7)) | v163(constB7) | v164(constB7))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31160,plain,
% 39.70/26.13 ((v164(constB7) | v163(constB7) | (~v160(constB7))) <=> ((~v160(constB7)) | v163(constB7) | v164(constB7))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31161,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB7) | v163(constB7) | (~v160(constB7)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB7)) | v163(constB7) | v164(constB7)))),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31160])).
% 39.70/26.13 tff(31162,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB7) | v163(constB7) | (~v160(constB7)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB7)) | v163(constB7) | v164(constB7))),
% 39.70/26.13 inference(transitivity,[status(thm)],[31161, 31159])).
% 39.70/26.13 tff(31163,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB7) | v163(constB7) | (~v160(constB7)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31164,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB7)) | v163(constB7) | v164(constB7)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31163, 31162])).
% 39.70/26.13 tff(31165,plain,
% 39.70/26.13 ((~v160(constB7)) | v164(constB7)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31164, 17312, 31158])).
% 39.70/26.13 tff(31166,plain,
% 39.70/26.13 (~v160(constB7)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31165, 31031])).
% 39.70/26.13 tff(31167,plain,
% 39.70/26.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB7, constB8)) | v160(constB7) | (~v162(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB7, constB8)) | v160(constB7) | (~v162(constB8)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31168,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB7, constB8)) | v160(constB7) | (~v162(constB8)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31169,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB7, constB8)) | v160(constB7) | (~v162(constB8))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31168, 31167])).
% 39.70/26.13 tff(31170,plain,
% 39.70/26.13 (v160(constB7) | (~v162(constB8))),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31169, 17330, 1407])).
% 39.70/26.13 tff(31171,plain,
% 39.70/26.13 (~v162(constB8)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31170, 31166])).
% 39.70/26.13 tff(31172,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB8) | (~v163(constB8)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB8) | (~v163(constB8)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31173,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB8) | (~v163(constB8)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31174,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB8) | (~v163(constB8))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31173, 31172])).
% 39.70/26.13 tff(31175,plain,
% 39.70/26.13 (~v163(constB8)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31174, 17342, 31171])).
% 39.70/26.13 tff(31176,plain,
% 39.70/26.13 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB8)) | (~v141(constB8)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB8)) | (~v141(constB8)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31177,plain,
% 39.70/26.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB8)) | (~v141(constB8)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31178,plain,
% 39.70/26.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB8)) | (~v141(constB8))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31177, 31176])).
% 39.70/26.13 tff(31179,plain,
% 39.70/26.13 (~v141(constB8)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31178, 17066, 1427])).
% 39.70/26.13 tff(31180,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB8) | (~v155(constB8)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB8) | (~v155(constB8)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31181,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB8) | (~v155(constB8)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31182,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB8) | (~v155(constB8))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31181, 31180])).
% 39.70/26.13 tff(31183,plain,
% 39.70/26.13 (~v155(constB8)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31182, 17212, 31179])).
% 39.70/26.13 tff(31184,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB8) | (~v164(constB8)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB8) | (~v164(constB8)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31185,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB8) | (~v164(constB8)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31186,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB8) | (~v164(constB8))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31185, 31184])).
% 39.70/26.13 tff(31187,plain,
% 39.70/26.13 (~v164(constB8)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31186, 17361, 31183])).
% 39.70/26.13 tff(31188,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB8)) | v164(constB8) | v163(constB8))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB8)) | v164(constB8) | v163(constB8))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31189,plain,
% 39.70/26.13 ((v164(constB8) | v163(constB8) | (~v160(constB8))) <=> ((~v160(constB8)) | v164(constB8) | v163(constB8))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31190,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB8) | v163(constB8) | (~v160(constB8)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB8)) | v164(constB8) | v163(constB8)))),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31189])).
% 39.70/26.13 tff(31191,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB8) | v163(constB8) | (~v160(constB8)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB8)) | v164(constB8) | v163(constB8))),
% 39.70/26.13 inference(transitivity,[status(thm)],[31190, 31188])).
% 39.70/26.13 tff(31192,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB8) | v163(constB8) | (~v160(constB8)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31193,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB8)) | v164(constB8) | v163(constB8)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31192, 31191])).
% 39.70/26.13 tff(31194,plain,
% 39.70/26.13 ((~v160(constB8)) | v163(constB8)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31193, 17312, 31187])).
% 39.70/26.13 tff(31195,plain,
% 39.70/26.13 (~v160(constB8)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31194, 31175])).
% 39.70/26.13 tff(31196,plain,
% 39.70/26.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB8, constB9)) | v160(constB8) | (~v162(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB8, constB9)) | v160(constB8) | (~v162(constB9)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31197,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB8, constB9)) | v160(constB8) | (~v162(constB9)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31198,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB8, constB9)) | v160(constB8) | (~v162(constB9))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31197, 31196])).
% 39.70/26.13 tff(31199,plain,
% 39.70/26.13 (v160(constB8) | (~v162(constB9))),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31198, 17330, 1482])).
% 39.70/26.13 tff(31200,plain,
% 39.70/26.13 (~v162(constB9)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31199, 31195])).
% 39.70/26.13 tff(31201,plain,
% 39.70/26.13 ($false),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31200, 30751])).
% 39.70/26.13 tff(31202,plain,(~(constB9 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.13 tff(31203,assumption,(constB104 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.13 tff(31204,plain,
% 39.70/26.13 (v1(constB104) <=> v1(sK0_VarCurr)),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31203])).
% 39.70/26.13 tff(31205,plain,
% 39.70/26.13 (v1(sK0_VarCurr) <=> v1(constB104)),
% 39.70/26.13 inference(symmetry,[status(thm)],[31204])).
% 39.70/26.13 tff(31206,plain,
% 39.70/26.13 ((~v1(sK0_VarCurr)) <=> (~v1(constB104))),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31205])).
% 39.70/26.13 tff(31207,plain,
% 39.70/26.13 (~v1(constB104)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[23858, 31206])).
% 39.70/26.13 tff(31208,plain,
% 39.70/26.13 ($false),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[12481, 31207])).
% 39.70/26.13 tff(31209,plain,(~(constB104 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.13 tff(31210,assumption,(constB124 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.13 tff(31211,plain,
% 39.70/26.13 (v1(constB124) <=> v1(sK0_VarCurr)),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31210])).
% 39.70/26.13 tff(31212,plain,
% 39.70/26.13 (v1(sK0_VarCurr) <=> v1(constB124)),
% 39.70/26.13 inference(symmetry,[status(thm)],[31211])).
% 39.70/26.13 tff(31213,plain,
% 39.70/26.13 ((~v1(sK0_VarCurr)) <=> (~v1(constB124))),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31212])).
% 39.70/26.13 tff(31214,plain,
% 39.70/26.13 (~v1(constB124)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[23858, 31213])).
% 39.70/26.13 tff(31215,plain,
% 39.70/26.13 ($false),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[14477, 31214])).
% 39.70/26.13 tff(31216,plain,(~(constB124 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.13 tff(31217,assumption,(constB15 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.13 tff(31218,plain,
% 39.70/26.13 (v162(constB15) <=> v162(sK0_VarCurr)),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31217])).
% 39.70/26.13 tff(31219,plain,
% 39.70/26.13 (v162(sK0_VarCurr) <=> v162(constB15)),
% 39.70/26.13 inference(symmetry,[status(thm)],[31218])).
% 39.70/26.13 tff(31220,plain,
% 39.70/26.13 (v162(constB15)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[17398, 31219])).
% 39.70/26.13 tff(31221,assumption,(v18(constB14)), introduced(assumption)).
% 39.70/26.13 tff(31222,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB14))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31223,plain,
% 39.70/26.13 ($false),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31222, 8, 31221])).
% 39.70/26.13 tff(31224,plain,(~v18(constB14)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.13 tff(31225,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31226,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31227,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31226, 31225])).
% 39.70/26.13 tff(31228,plain,
% 39.70/26.13 (v22(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31227, 21, 2106])).
% 39.70/26.13 tff(31229,plain,
% 39.70/26.13 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB14)) | (~v22(constB14)) | v18(constB14))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB14)) | (~v22(constB14)) | v18(constB14))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31230,plain,
% 39.70/26.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB14)) | (~v22(constB14)) | v18(constB14))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31231,plain,
% 39.70/26.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB14)) | (~v22(constB14)) | v18(constB14)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31230, 31229])).
% 39.70/26.13 tff(31232,plain,
% 39.70/26.13 ((~v19(constB14)) | v18(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31231, 35, 31228])).
% 39.70/26.13 tff(31233,plain,
% 39.70/26.13 (~v19(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31232, 31224])).
% 39.70/26.13 tff(31234,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31235,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31236,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31235, 31234])).
% 39.70/26.13 tff(31237,plain,
% 39.70/26.13 (v13(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31236, 50, 31233])).
% 39.70/26.13 tff(31238,plain,
% 39.70/26.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31239,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31240,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB13, constB14)) | (~v13(constB14)) | v9(constB13)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31239, 31238])).
% 39.70/26.13 tff(31241,plain,
% 39.70/26.13 ((~v13(constB14)) | v9(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31240, 67, 2086])).
% 39.70/26.13 tff(31242,plain,
% 39.70/26.13 (v9(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31241, 31237])).
% 39.70/26.13 tff(31243,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v141(constB13))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB13) | (~v9(constB13)) | v141(constB13))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31244,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v141(constB13))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31245,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB13) | (~v9(constB13)) | v141(constB13)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31244, 31243])).
% 39.70/26.13 tff(31246,plain,
% 39.70/26.13 ((~v9(constB13)) | v141(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31245, 85, 1943])).
% 39.70/26.13 tff(31247,plain,
% 39.70/26.13 (v141(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31246, 31242])).
% 39.70/26.13 tff(31248,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB13) | (~v141(constB13)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB13) | (~v141(constB13)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31249,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB13) | (~v141(constB13)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31250,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB13) | (~v141(constB13))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31249, 31248])).
% 39.70/26.13 tff(31251,plain,
% 39.70/26.13 (v140(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31250, 97, 31247])).
% 39.70/26.13 tff(31252,plain,
% 39.70/26.13 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB13)) | (~v163(constB13)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB13)) | (~v163(constB13)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31253,plain,
% 39.70/26.13 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB13)) | (~v163(constB13)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31254,plain,
% 39.70/26.13 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB13)) | (~v163(constB13))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31253, 31252])).
% 39.70/26.13 tff(31255,plain,
% 39.70/26.13 (~v163(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31254, 17298, 31251])).
% 39.70/26.13 tff(31256,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB13) | (~v164(constB13)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB13) | (~v164(constB13)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31257,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB13) | (~v164(constB13)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31258,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB13) | (~v164(constB13))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31257, 31256])).
% 39.70/26.13 tff(31259,plain,
% 39.70/26.13 (~v164(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31258, 17247, 25600])).
% 39.70/26.13 tff(31260,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB13)) | v163(constB13) | v164(constB13))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB13)) | v163(constB13) | v164(constB13))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31261,plain,
% 39.70/26.13 ((v164(constB13) | v163(constB13) | (~v160(constB13))) <=> ((~v160(constB13)) | v163(constB13) | v164(constB13))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31262,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB13) | v163(constB13) | (~v160(constB13)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB13)) | v163(constB13) | v164(constB13)))),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31261])).
% 39.70/26.13 tff(31263,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB13) | v163(constB13) | (~v160(constB13)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB13)) | v163(constB13) | v164(constB13))),
% 39.70/26.13 inference(transitivity,[status(thm)],[31262, 31260])).
% 39.70/26.13 tff(31264,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB13) | v163(constB13) | (~v160(constB13)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31265,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB13)) | v163(constB13) | v164(constB13)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31264, 31263])).
% 39.70/26.13 tff(31266,plain,
% 39.70/26.13 ((~v160(constB13)) | v163(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31265, 17312, 31259])).
% 39.70/26.13 tff(31267,plain,
% 39.70/26.13 (~v160(constB13)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31266, 31255])).
% 39.70/26.13 tff(31268,plain,
% 39.70/26.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31269,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31270,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31269, 31268])).
% 39.70/26.13 tff(31271,plain,
% 39.70/26.13 (v160(constB13) | (~v162(constB14))),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31270, 17330, 2086])).
% 39.70/26.13 tff(31272,plain,
% 39.70/26.13 (~v162(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31271, 31267])).
% 39.70/26.13 tff(31273,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB14) | (~v163(constB14)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB14) | (~v163(constB14)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31274,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB14) | (~v163(constB14)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31275,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB14) | (~v163(constB14))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31274, 31273])).
% 39.70/26.13 tff(31276,plain,
% 39.70/26.13 (~v163(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31275, 17342, 31272])).
% 39.70/26.13 tff(31277,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB14) | (~v164(constB14)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB14) | (~v164(constB14)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31278,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB14) | (~v164(constB14)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31279,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB14) | (~v164(constB14))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31278, 31277])).
% 39.70/26.13 tff(31280,plain,
% 39.70/26.13 (~v164(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31279, 17361, 25681])).
% 39.70/26.13 tff(31281,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB14)) | v164(constB14) | v163(constB14))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB14)) | v164(constB14) | v163(constB14))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31282,plain,
% 39.70/26.13 ((v164(constB14) | v163(constB14) | (~v160(constB14))) <=> ((~v160(constB14)) | v164(constB14) | v163(constB14))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31283,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB14) | v163(constB14) | (~v160(constB14)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB14)) | v164(constB14) | v163(constB14)))),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31282])).
% 39.70/26.13 tff(31284,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB14) | v163(constB14) | (~v160(constB14)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB14)) | v164(constB14) | v163(constB14))),
% 39.70/26.13 inference(transitivity,[status(thm)],[31283, 31281])).
% 39.70/26.13 tff(31285,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB14) | v163(constB14) | (~v160(constB14)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31286,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB14)) | v164(constB14) | v163(constB14)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31285, 31284])).
% 39.70/26.13 tff(31287,plain,
% 39.70/26.13 ((~v160(constB14)) | v163(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31286, 17312, 31280])).
% 39.70/26.13 tff(31288,plain,
% 39.70/26.13 (~v160(constB14)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31287, 31276])).
% 39.70/26.13 tff(31289,plain,
% 39.70/26.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31290,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31291,plain,
% 39.70/26.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15))),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[31290, 31289])).
% 39.70/26.13 tff(31292,plain,
% 39.70/26.13 (v160(constB14) | (~v162(constB15))),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31291, 17330, 2148])).
% 39.70/26.13 tff(31293,plain,
% 39.70/26.13 (~v162(constB15)),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31292, 31288])).
% 39.70/26.13 tff(31294,plain,
% 39.70/26.13 ($false),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[31293, 31220])).
% 39.70/26.13 tff(31295,plain,(~(constB15 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.13 tff(31296,assumption,(constB138 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.13 tff(31297,plain,
% 39.70/26.13 (v1(constB138) <=> v1(sK0_VarCurr)),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31296])).
% 39.70/26.13 tff(31298,plain,
% 39.70/26.13 (v1(sK0_VarCurr) <=> v1(constB138)),
% 39.70/26.13 inference(symmetry,[status(thm)],[31297])).
% 39.70/26.13 tff(31299,plain,
% 39.70/26.13 ((~v1(sK0_VarCurr)) <=> (~v1(constB138))),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31298])).
% 39.70/26.13 tff(31300,plain,
% 39.70/26.13 (~v1(constB138)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[23858, 31299])).
% 39.70/26.13 tff(31301,plain,
% 39.70/26.13 ($false),
% 39.70/26.13 inference(unit_resolution,[status(thm)],[15953, 31300])).
% 39.70/26.13 tff(31302,plain,(~(constB138 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.13 tff(31303,assumption,(constB187 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.13 tff(31304,plain,
% 39.70/26.13 (v162(constB187) <=> v162(sK0_VarCurr)),
% 39.70/26.13 inference(monotonicity,[status(thm)],[31303])).
% 39.70/26.13 tff(31305,plain,
% 39.70/26.13 (v162(sK0_VarCurr) <=> v162(constB187)),
% 39.70/26.13 inference(symmetry,[status(thm)],[31304])).
% 39.70/26.13 tff(31306,plain,
% 39.70/26.13 (v162(constB187)),
% 39.70/26.13 inference(modus_ponens,[status(thm)],[17398, 31305])).
% 39.70/26.13 tff(31307,plain,
% 39.70/26.13 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB183) | (~v154(constB183)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB183) | (~v154(constB183)))),
% 39.70/26.13 inference(rewrite,[status(thm)],[])).
% 39.70/26.13 tff(31308,plain,
% 39.70/26.13 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB183) | (~v154(constB183)))),
% 39.70/26.13 inference(quant_inst,[status(thm)],[])).
% 39.70/26.13 tff(31309,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB183) | (~v154(constB183))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31308, 31307])).
% 39.70/26.14 tff(31310,plain,
% 39.70/26.14 (~v154(constB183)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31309, 17105, 26458])).
% 39.70/26.14 tff(31311,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB179, bitIndex0) | (~v145(constB179)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB179, bitIndex0) | (~v145(constB179)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31312,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB179, bitIndex0) | (~v145(constB179)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31313,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB179, bitIndex0) | (~v145(constB179))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31312, 31311])).
% 39.70/26.14 tff(31314,plain,
% 39.70/26.14 (~v145(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31313, 2357, 21311])).
% 39.70/26.14 tff(31315,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB179) | (~v144(constB179)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB179) | (~v144(constB179)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31316,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB179) | (~v144(constB179)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31317,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB179) | (~v144(constB179))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31316, 31315])).
% 39.70/26.14 tff(31318,plain,
% 39.70/26.14 (~v144(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31317, 17003, 31314])).
% 39.70/26.14 tff(31319,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB179) | (~v142(constB179)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31320,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB179) | (~v142(constB179)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31321,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB179) | (~v142(constB179))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31320, 31319])).
% 39.70/26.14 tff(31322,plain,
% 39.70/26.14 (~v142(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31321, 17014, 31318])).
% 39.70/26.14 tff(31323,assumption,(v18(constB180)), introduced(assumption)).
% 39.70/26.14 tff(31324,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB180))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31325,plain,
% 39.70/26.14 ($false),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31324, 8, 31323])).
% 39.70/26.14 tff(31326,plain,(~v18(constB180)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.14 tff(31327,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31328,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31329,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 39.70/26.14 tff(31330,plain,
% 39.70/26.14 (v22(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31329, 21, 21372])).
% 39.70/26.14 tff(31331,plain,
% 39.70/26.14 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31332,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31333,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180)),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 39.70/26.14 tff(31334,plain,
% 39.70/26.14 ((~v19(constB180)) | v18(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31333, 35, 31330])).
% 39.70/26.14 tff(31335,plain,
% 39.70/26.14 (~v19(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31334, 31326])).
% 39.70/26.14 tff(31336,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31337,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31338,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180)),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31337, 31336])).
% 39.70/26.14 tff(31339,plain,
% 39.70/26.14 (v13(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31338, 50, 31335])).
% 39.70/26.14 tff(31340,plain,
% 39.70/26.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31341,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31342,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179)),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 39.70/26.14 tff(31343,plain,
% 39.70/26.14 ((~v13(constB180)) | v9(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31342, 67, 21352])).
% 39.70/26.14 tff(31344,plain,
% 39.70/26.14 (v9(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31343, 31339])).
% 39.70/26.14 tff(31345,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v141(constB179))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB179) | (~v9(constB179)) | v141(constB179))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31346,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v141(constB179))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31347,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB179) | (~v9(constB179)) | v141(constB179)),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31346, 31345])).
% 39.70/26.14 tff(31348,plain,
% 39.70/26.14 ((~v9(constB179)) | v141(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31347, 85, 21244])).
% 39.70/26.14 tff(31349,plain,
% 39.70/26.14 (v141(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31348, 31344])).
% 39.70/26.14 tff(31350,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB179) | (~v141(constB179)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB179) | (~v141(constB179)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31351,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB179) | (~v141(constB179)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31352,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB179) | (~v141(constB179))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31351, 31350])).
% 39.70/26.14 tff(31353,plain,
% 39.70/26.14 (v140(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31352, 97, 31349])).
% 39.70/26.14 tff(31354,plain,
% 39.70/26.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB179)) | (~v140(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB179)) | (~v140(constB179)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31355,plain,
% 39.70/26.14 (((~v140(constB179)) | (~v138(constB179))) <=> ((~v138(constB179)) | (~v140(constB179)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31356,plain,
% 39.70/26.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB179)) | (~v138(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB179)) | (~v140(constB179))))),
% 39.70/26.14 inference(monotonicity,[status(thm)],[31355])).
% 39.70/26.14 tff(31357,plain,
% 39.70/26.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB179)) | (~v138(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB179)) | (~v140(constB179)))),
% 39.70/26.14 inference(transitivity,[status(thm)],[31356, 31354])).
% 39.70/26.14 tff(31358,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB179)) | (~v138(constB179)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31359,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB179)) | (~v140(constB179))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31358, 31357])).
% 39.70/26.14 tff(31360,plain,
% 39.70/26.14 (~v138(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31359, 108, 31353])).
% 39.70/26.14 tff(31361,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB179) | v142(constB179) | (~v135(constB179)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB179) | v142(constB179) | (~v135(constB179)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31362,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB179) | v142(constB179) | (~v135(constB179)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31363,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB179) | v142(constB179) | (~v135(constB179))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31362, 31361])).
% 39.70/26.14 tff(31364,plain,
% 39.70/26.14 (v142(constB179) | (~v135(constB179))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31363, 17028, 31360])).
% 39.70/26.14 tff(31365,plain,
% 39.70/26.14 (~v135(constB179)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31364, 31322])).
% 39.70/26.14 tff(31366,plain,
% 39.70/26.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31367,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31368,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31367, 31366])).
% 39.70/26.14 tff(31369,plain,
% 39.70/26.14 (v135(constB179) | (~v137(constB180))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31368, 17043, 21352])).
% 39.70/26.14 tff(31370,plain,
% 39.70/26.14 (~v137(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31369, 31365])).
% 39.70/26.14 tff(31371,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB180) | (~v138(constB180)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB180) | (~v138(constB180)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31372,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB180) | (~v138(constB180)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31373,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB180) | (~v138(constB180))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31372, 31371])).
% 39.70/26.14 tff(31374,plain,
% 39.70/26.14 (~v138(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31373, 17055, 31370])).
% 39.70/26.14 tff(31375,plain,
% 39.70/26.14 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB180)) | (~v141(constB180)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB180)) | (~v141(constB180)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31376,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB180)) | (~v141(constB180)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31377,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB180)) | (~v141(constB180))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31376, 31375])).
% 39.70/26.14 tff(31378,plain,
% 39.70/26.14 (~v141(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31377, 17066, 21372])).
% 39.70/26.14 tff(31379,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB180) | (~v144(constB180)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB180) | (~v144(constB180)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31380,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB180) | (~v144(constB180)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31381,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB180) | (~v144(constB180))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31380, 31379])).
% 39.70/26.14 tff(31382,plain,
% 39.70/26.14 (~v144(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31381, 17077, 31378])).
% 39.70/26.14 tff(31383,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB180) | (~v142(constB180)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB180) | (~v142(constB180)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31384,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB180) | (~v142(constB180)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31385,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB180) | (~v142(constB180))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31384, 31383])).
% 39.70/26.14 tff(31386,plain,
% 39.70/26.14 (~v142(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31385, 17014, 31382])).
% 39.70/26.14 tff(31387,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB180) | v142(constB180) | (~v135(constB180)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB180) | v142(constB180) | (~v135(constB180)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31388,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB180) | v142(constB180) | (~v135(constB180)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31389,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB180) | v142(constB180) | (~v135(constB180))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31388, 31387])).
% 39.70/26.14 tff(31390,plain,
% 39.70/26.14 (v138(constB180) | (~v135(constB180))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31389, 17028, 31386])).
% 39.70/26.14 tff(31391,plain,
% 39.70/26.14 (~v135(constB180)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31390, 31374])).
% 39.70/26.14 tff(31392,plain,
% 39.70/26.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31393,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31394,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31393, 31392])).
% 39.70/26.14 tff(31395,plain,
% 39.70/26.14 (v135(constB180) | (~v137(constB181))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31394, 17043, 21417])).
% 39.70/26.14 tff(31396,plain,
% 39.70/26.14 (~v137(constB181)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31395, 31391])).
% 39.70/26.14 tff(31397,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB181) | (~v154(constB181)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB181) | (~v154(constB181)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31398,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB181) | (~v154(constB181)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31399,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB181) | (~v154(constB181))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31398, 31397])).
% 39.70/26.14 tff(31400,plain,
% 39.70/26.14 (~v154(constB181)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31399, 17105, 31396])).
% 39.70/26.14 tff(31401,plain,
% 39.70/26.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB181)) | (~v153(constB181)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB181)) | (~v153(constB181)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31402,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB181)) | (~v153(constB181)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31403,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB181)) | (~v153(constB181))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31402, 31401])).
% 39.70/26.14 tff(31404,plain,
% 39.70/26.14 (~v153(constB181)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31403, 17156, 26418])).
% 39.70/26.14 tff(31405,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB181) | v154(constB181) | (~v150(constB181)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB181) | v154(constB181) | (~v150(constB181)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31406,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB181) | v154(constB181) | (~v150(constB181)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31407,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB181) | v154(constB181) | (~v150(constB181))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31406, 31405])).
% 39.70/26.14 tff(31408,plain,
% 39.70/26.14 (v154(constB181) | (~v150(constB181))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31407, 17170, 31404])).
% 39.70/26.14 tff(31409,plain,
% 39.70/26.14 (~v150(constB181)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31408, 31400])).
% 39.70/26.14 tff(31410,plain,
% 39.70/26.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31411,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31412,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31411, 31410])).
% 39.70/26.14 tff(31413,plain,
% 39.70/26.14 (v150(constB181) | (~v152(constB182))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31412, 17185, 21538])).
% 39.70/26.14 tff(31414,plain,
% 39.70/26.14 (~v152(constB182)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31413, 31409])).
% 39.70/26.14 tff(31415,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB182) | (~v153(constB182)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB182) | (~v153(constB182)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31416,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB182) | (~v153(constB182)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31417,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB182) | (~v153(constB182))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31416, 31415])).
% 39.70/26.14 tff(31418,plain,
% 39.70/26.14 (~v153(constB182)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31417, 17197, 31414])).
% 39.70/26.14 tff(31419,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB182) | (~v155(constB182)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB182) | (~v155(constB182)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31420,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB182) | (~v155(constB182)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31421,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB182) | (~v155(constB182))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31420, 31419])).
% 39.70/26.14 tff(31422,plain,
% 39.70/26.14 (~v155(constB182)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31421, 17212, 26440])).
% 39.70/26.14 tff(31423,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB182) | (~v154(constB182)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB182) | (~v154(constB182)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31424,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB182) | (~v154(constB182)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31425,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB182) | (~v154(constB182))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31424, 31423])).
% 39.70/26.14 tff(31426,plain,
% 39.70/26.14 (~v154(constB182)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31425, 17223, 31422])).
% 39.70/26.14 tff(31427,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB182) | v154(constB182) | (~v150(constB182)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB182) | v154(constB182) | (~v150(constB182)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31428,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB182) | v154(constB182) | (~v150(constB182)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31429,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB182) | v154(constB182) | (~v150(constB182))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31428, 31427])).
% 39.70/26.14 tff(31430,plain,
% 39.70/26.14 (v153(constB182) | (~v150(constB182))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31429, 17170, 31426])).
% 39.70/26.14 tff(31431,plain,
% 39.70/26.14 (~v150(constB182)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31430, 31418])).
% 39.70/26.14 tff(31432,plain,
% 39.70/26.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31433,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31434,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31433, 31432])).
% 39.70/26.14 tff(31435,plain,
% 39.70/26.14 (v150(constB182) | (~v152(constB183))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31434, 17185, 21653])).
% 39.70/26.14 tff(31436,plain,
% 39.70/26.14 (~v152(constB183)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31435, 31431])).
% 39.70/26.14 tff(31437,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB183) | (~v153(constB183)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB183) | (~v153(constB183)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31438,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB183) | (~v153(constB183)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31439,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB183) | (~v153(constB183))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31438, 31437])).
% 39.70/26.14 tff(31440,plain,
% 39.70/26.14 (~v153(constB183)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31439, 17197, 31436])).
% 39.70/26.14 tff(31441,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB183) | v154(constB183) | (~v150(constB183)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB183) | v154(constB183) | (~v150(constB183)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31442,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB183) | v154(constB183) | (~v150(constB183)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31443,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB183) | v154(constB183) | (~v150(constB183))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31442, 31441])).
% 39.70/26.14 tff(31444,plain,
% 39.70/26.14 (v154(constB183) | (~v150(constB183))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31443, 17170, 31440])).
% 39.70/26.14 tff(31445,plain,
% 39.70/26.14 (~v150(constB183)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31444, 31310])).
% 39.70/26.14 tff(31446,plain,
% 39.70/26.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB183, constB184)) | v150(constB183) | (~v152(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB183, constB184)) | v150(constB183) | (~v152(constB184)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31447,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB183, constB184)) | v150(constB183) | (~v152(constB184)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31448,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB183, constB184)) | v150(constB183) | (~v152(constB184))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31447, 31446])).
% 39.70/26.14 tff(31449,plain,
% 39.70/26.14 (v150(constB183) | (~v152(constB184))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31448, 17185, 21753])).
% 39.70/26.14 tff(31450,plain,
% 39.70/26.14 (~v152(constB184)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31449, 31445])).
% 39.70/26.14 tff(31451,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB184) | (~v153(constB184)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB184) | (~v153(constB184)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31452,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB184) | (~v153(constB184)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31453,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB184) | (~v153(constB184))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 39.70/26.14 tff(31454,plain,
% 39.70/26.14 (~v153(constB184)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31453, 17197, 31450])).
% 39.70/26.14 tff(31455,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB184) | (~v155(constB184)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB184) | (~v155(constB184)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31456,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB184) | (~v155(constB184)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31457,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB184) | (~v155(constB184))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 39.70/26.14 tff(31458,plain,
% 39.70/26.14 (~v155(constB184)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31457, 17212, 26492])).
% 39.70/26.14 tff(31459,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB184) | (~v154(constB184)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB184) | (~v154(constB184)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31460,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB184) | (~v154(constB184)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31461,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB184) | (~v154(constB184))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31460, 31459])).
% 39.70/26.14 tff(31462,plain,
% 39.70/26.14 (~v154(constB184)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31461, 17223, 31458])).
% 39.70/26.14 tff(31463,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB184) | v154(constB184) | (~v150(constB184)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB184) | v154(constB184) | (~v150(constB184)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31464,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB184) | v154(constB184) | (~v150(constB184)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31465,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB184) | v154(constB184) | (~v150(constB184))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 39.70/26.14 tff(31466,plain,
% 39.70/26.14 (v153(constB184) | (~v150(constB184))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31465, 17170, 31462])).
% 39.70/26.14 tff(31467,plain,
% 39.70/26.14 (~v150(constB184)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31466, 31454])).
% 39.70/26.14 tff(31468,plain,
% 39.70/26.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB184, constB185)) | v150(constB184) | (~v152(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB184, constB185)) | v150(constB184) | (~v152(constB185)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31469,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB184, constB185)) | v150(constB184) | (~v152(constB185)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31470,plain,
% 39.70/26.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB184, constB185)) | v150(constB184) | (~v152(constB185))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31469, 31468])).
% 39.70/26.14 tff(31471,plain,
% 39.70/26.14 (v150(constB184) | (~v152(constB185))),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31470, 17185, 21815])).
% 39.70/26.14 tff(31472,plain,
% 39.70/26.14 (~v152(constB185)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31471, 31467])).
% 39.70/26.14 tff(31473,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB185) | (~v164(constB185)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB185) | (~v164(constB185)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31474,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB185) | (~v164(constB185)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31475,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB185) | (~v164(constB185))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31474, 31473])).
% 39.70/26.14 tff(31476,plain,
% 39.70/26.14 (~v164(constB185)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31475, 17247, 31472])).
% 39.70/26.14 tff(31477,plain,
% 39.70/26.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB185)) | (~v163(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB185)) | (~v163(constB185)))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31478,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB185)) | (~v163(constB185)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31479,plain,
% 39.70/26.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB185)) | (~v163(constB185))),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31478, 31477])).
% 39.70/26.14 tff(31480,plain,
% 39.70/26.14 (~v163(constB185)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31479, 17298, 26545])).
% 39.70/26.14 tff(31481,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB185)) | v163(constB185) | v164(constB185))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB185)) | v163(constB185) | v164(constB185))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31482,plain,
% 39.70/26.14 ((v164(constB185) | v163(constB185) | (~v160(constB185))) <=> ((~v160(constB185)) | v163(constB185) | v164(constB185))),
% 39.70/26.14 inference(rewrite,[status(thm)],[])).
% 39.70/26.14 tff(31483,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB185) | v163(constB185) | (~v160(constB185)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB185)) | v163(constB185) | v164(constB185)))),
% 39.70/26.14 inference(monotonicity,[status(thm)],[31482])).
% 39.70/26.14 tff(31484,plain,
% 39.70/26.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB185) | v163(constB185) | (~v160(constB185)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB185)) | v163(constB185) | v164(constB185))),
% 39.70/26.14 inference(transitivity,[status(thm)],[31483, 31481])).
% 39.70/26.14 tff(31485,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB185) | v163(constB185) | (~v160(constB185)))),
% 39.70/26.14 inference(quant_inst,[status(thm)],[])).
% 39.70/26.14 tff(31486,plain,
% 39.70/26.14 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB185)) | v163(constB185) | v164(constB185)),
% 39.70/26.14 inference(modus_ponens,[status(thm)],[31485, 31484])).
% 39.70/26.14 tff(31487,plain,
% 39.70/26.14 ((~v160(constB185)) | v164(constB185)),
% 39.70/26.14 inference(unit_resolution,[status(thm)],[31486, 17312, 31480])).
% 39.70/26.15 tff(31488,plain,
% 39.70/26.15 (~v160(constB185)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31487, 31476])).
% 39.70/26.15 tff(31489,plain,
% 39.70/26.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB185, constB186)) | v160(constB185) | (~v162(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB185, constB186)) | v160(constB185) | (~v162(constB186)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31490,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB185, constB186)) | v160(constB185) | (~v162(constB186)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31491,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB185, constB186)) | v160(constB185) | (~v162(constB186))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31490, 31489])).
% 39.70/26.15 tff(31492,plain,
% 39.70/26.15 (v160(constB185) | (~v162(constB186))),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31491, 17330, 21928])).
% 39.70/26.15 tff(31493,plain,
% 39.70/26.15 (~v162(constB186)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31492, 31488])).
% 39.70/26.15 tff(31494,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB186) | (~v163(constB186)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB186) | (~v163(constB186)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31495,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB186) | (~v163(constB186)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31496,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB186) | (~v163(constB186))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31495, 31494])).
% 39.70/26.15 tff(31497,plain,
% 39.70/26.15 (~v163(constB186)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31496, 17342, 31493])).
% 39.70/26.15 tff(31498,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB186) | (~v164(constB186)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB186) | (~v164(constB186)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31499,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB186) | (~v164(constB186)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31500,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB186) | (~v164(constB186))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31499, 31498])).
% 39.70/26.15 tff(31501,plain,
% 39.70/26.15 (~v164(constB186)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31500, 17361, 26571])).
% 39.70/26.15 tff(31502,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB186)) | v164(constB186) | v163(constB186))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB186)) | v164(constB186) | v163(constB186))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31503,plain,
% 39.70/26.15 ((v164(constB186) | v163(constB186) | (~v160(constB186))) <=> ((~v160(constB186)) | v164(constB186) | v163(constB186))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31504,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB186) | v163(constB186) | (~v160(constB186)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB186)) | v164(constB186) | v163(constB186)))),
% 39.70/26.15 inference(monotonicity,[status(thm)],[31503])).
% 39.70/26.15 tff(31505,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB186) | v163(constB186) | (~v160(constB186)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB186)) | v164(constB186) | v163(constB186))),
% 39.70/26.15 inference(transitivity,[status(thm)],[31504, 31502])).
% 39.70/26.15 tff(31506,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB186) | v163(constB186) | (~v160(constB186)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31507,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB186)) | v164(constB186) | v163(constB186)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31506, 31505])).
% 39.70/26.15 tff(31508,plain,
% 39.70/26.15 ((~v160(constB186)) | v163(constB186)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31507, 17312, 31501])).
% 39.70/26.15 tff(31509,plain,
% 39.70/26.15 (~v160(constB186)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31508, 31497])).
% 39.70/26.15 tff(31510,plain,
% 39.70/26.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB186, constB187)) | v160(constB186) | (~v162(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB186, constB187)) | v160(constB186) | (~v162(constB187)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31511,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB186, constB187)) | v160(constB186) | (~v162(constB187)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31512,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB186, constB187)) | v160(constB186) | (~v162(constB187))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31511, 31510])).
% 39.70/26.15 tff(31513,plain,
% 39.70/26.15 (v160(constB186) | (~v162(constB187))),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31512, 17330, 22020])).
% 39.70/26.15 tff(31514,plain,
% 39.70/26.15 (~v162(constB187)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31513, 31509])).
% 39.70/26.15 tff(31515,plain,
% 39.70/26.15 ($false),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31514, 31306])).
% 39.70/26.15 tff(31516,plain,(~(constB187 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.15 tff(31517,assumption,(constB178 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.15 tff(31518,plain,
% 39.70/26.15 (v1(constB178) <=> v1(sK0_VarCurr)),
% 39.70/26.15 inference(monotonicity,[status(thm)],[31517])).
% 39.70/26.15 tff(31519,plain,
% 39.70/26.15 (v1(sK0_VarCurr) <=> v1(constB178)),
% 39.70/26.15 inference(symmetry,[status(thm)],[31518])).
% 39.70/26.15 tff(31520,plain,
% 39.70/26.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB178))),
% 39.70/26.15 inference(monotonicity,[status(thm)],[31519])).
% 39.70/26.15 tff(31521,plain,
% 39.70/26.15 (~v1(constB178)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[23858, 31520])).
% 39.70/26.15 tff(31522,plain,
% 39.70/26.15 ($false),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[21168, 31521])).
% 39.70/26.15 tff(31523,plain,(~(constB178 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.15 tff(31524,assumption,(constB45 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.15 tff(31525,plain,
% 39.70/26.15 (v162(constB45) <=> v162(sK0_VarCurr)),
% 39.70/26.15 inference(monotonicity,[status(thm)],[31524])).
% 39.70/26.15 tff(31526,plain,
% 39.70/26.15 (v162(sK0_VarCurr) <=> v162(constB45)),
% 39.70/26.15 inference(symmetry,[status(thm)],[31525])).
% 39.70/26.15 tff(31527,plain,
% 39.70/26.15 (v162(constB45)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[17398, 31526])).
% 39.70/26.15 tff(31528,assumption,(v18(constB42)), introduced(assumption)).
% 39.70/26.15 tff(31529,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB42))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31530,plain,
% 39.70/26.15 ($false),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31529, 8, 31528])).
% 39.70/26.15 tff(31531,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.15 tff(31532,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31533,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31534,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31533, 31532])).
% 39.70/26.15 tff(31535,plain,
% 39.70/26.15 (v22(constB42)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31534, 21, 5133])).
% 39.70/26.15 tff(31536,plain,
% 39.70/26.15 (((~![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))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31537,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB42)) | (~v22(constB42)) | v18(constB42))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31538,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB42)) | (~v22(constB42)) | v18(constB42)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31537, 31536])).
% 39.70/26.15 tff(31539,plain,
% 39.70/26.15 ((~v19(constB42)) | v18(constB42)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31538, 35, 31535])).
% 39.70/26.15 tff(31540,plain,
% 39.70/26.15 (~v19(constB42)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31539, 31531])).
% 39.70/26.15 tff(31541,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31542,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31543,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31542, 31541])).
% 39.70/26.15 tff(31544,plain,
% 39.70/26.15 (v13(constB42)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31543, 50, 31540])).
% 39.70/26.15 tff(31545,plain,
% 39.70/26.15 (((~![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))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31546,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31547,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31546, 31545])).
% 39.70/26.15 tff(31548,plain,
% 39.70/26.15 ((~v13(constB42)) | v9(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31547, 67, 5113])).
% 39.70/26.15 tff(31549,plain,
% 39.70/26.15 (v9(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31548, 31544])).
% 39.70/26.15 tff(31550,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v141(constB41))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB41) | (~v9(constB41)) | v141(constB41))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31551,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v141(constB41))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31552,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB41) | (~v9(constB41)) | v141(constB41)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31551, 31550])).
% 39.70/26.15 tff(31553,plain,
% 39.70/26.15 ((~v9(constB41)) | v141(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31552, 85, 4991])).
% 39.70/26.15 tff(31554,plain,
% 39.70/26.15 (v141(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31553, 31549])).
% 39.70/26.15 tff(31555,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB41) | (~v141(constB41)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB41) | (~v141(constB41)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31556,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB41) | (~v141(constB41)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31557,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB41) | (~v141(constB41))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31556, 31555])).
% 39.70/26.15 tff(31558,plain,
% 39.70/26.15 (v140(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31557, 97, 31554])).
% 39.70/26.15 tff(31559,plain,
% 39.70/26.15 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB41)) | (~v153(constB41)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB41)) | (~v153(constB41)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31560,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB41)) | (~v153(constB41)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31561,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB41)) | (~v153(constB41))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31560, 31559])).
% 39.70/26.15 tff(31562,plain,
% 39.70/26.15 (~v153(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31561, 17156, 31558])).
% 39.70/26.15 tff(31563,plain,
% 39.70/26.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB39, bitIndex1)) | (~v145(constB39)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB39, bitIndex1)) | (~v145(constB39)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31564,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB39, bitIndex1)) | (~v145(constB39)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31565,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB39, bitIndex1)) | (~v145(constB39))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31564, 31563])).
% 39.70/26.15 tff(31566,plain,
% 39.70/26.15 (~v145(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31565, 1116, 4852])).
% 39.70/26.15 tff(31567,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB39) | (~v144(constB39)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB39) | (~v144(constB39)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31568,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB39) | (~v144(constB39)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31569,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB39) | (~v144(constB39))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 39.70/26.15 tff(31570,plain,
% 39.70/26.15 (~v144(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31569, 17003, 31566])).
% 39.70/26.15 tff(31571,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB39) | (~v142(constB39)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB39) | (~v142(constB39)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31572,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB39) | (~v142(constB39)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31573,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB39) | (~v142(constB39))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31572, 31571])).
% 39.70/26.15 tff(31574,plain,
% 39.70/26.15 (~v142(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31573, 17014, 31570])).
% 39.70/26.15 tff(31575,assumption,(v18(constB40)), introduced(assumption)).
% 39.70/26.15 tff(31576,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB40))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31577,plain,
% 39.70/26.15 ($false),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31576, 8, 31575])).
% 39.70/26.15 tff(31578,plain,(~v18(constB40)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.15 tff(31579,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31580,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31581,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31580, 31579])).
% 39.70/26.15 tff(31582,plain,
% 39.70/26.15 (v22(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31581, 21, 4949])).
% 39.70/26.15 tff(31583,plain,
% 39.70/26.15 (((~![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))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31584,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB40)) | (~v22(constB40)) | v18(constB40))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31585,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB40)) | (~v22(constB40)) | v18(constB40)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31584, 31583])).
% 39.70/26.15 tff(31586,plain,
% 39.70/26.15 ((~v19(constB40)) | v18(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31585, 35, 31582])).
% 39.70/26.15 tff(31587,plain,
% 39.70/26.15 (~v19(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31586, 31578])).
% 39.70/26.15 tff(31588,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31589,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31590,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31589, 31588])).
% 39.70/26.15 tff(31591,plain,
% 39.70/26.15 (v13(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31590, 50, 31587])).
% 39.70/26.15 tff(31592,plain,
% 39.70/26.15 (((~![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))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31593,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31594,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31593, 31592])).
% 39.70/26.15 tff(31595,plain,
% 39.70/26.15 ((~v13(constB40)) | v9(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31594, 67, 4929])).
% 39.70/26.15 tff(31596,plain,
% 39.70/26.15 (v9(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31595, 31591])).
% 39.70/26.15 tff(31597,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v141(constB39))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB39) | (~v9(constB39)) | v141(constB39))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31598,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v141(constB39))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31599,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB39) | (~v9(constB39)) | v141(constB39)),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31598, 31597])).
% 39.70/26.15 tff(31600,plain,
% 39.70/26.15 ((~v9(constB39)) | v141(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31599, 85, 4797])).
% 39.70/26.15 tff(31601,plain,
% 39.70/26.15 (v141(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31600, 31596])).
% 39.70/26.15 tff(31602,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB39) | (~v141(constB39)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB39) | (~v141(constB39)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31603,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB39) | (~v141(constB39)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31604,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB39) | (~v141(constB39))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31603, 31602])).
% 39.70/26.15 tff(31605,plain,
% 39.70/26.15 (v140(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31604, 97, 31601])).
% 39.70/26.15 tff(31606,plain,
% 39.70/26.15 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB39)) | (~v138(constB39)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB39)) | (~v138(constB39)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31607,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB39)) | (~v138(constB39)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31608,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB39)) | (~v138(constB39))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31607, 31606])).
% 39.70/26.15 tff(31609,plain,
% 39.70/26.15 (~v138(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31608, 108, 31605])).
% 39.70/26.15 tff(31610,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB39) | v142(constB39) | (~v135(constB39)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB39) | v142(constB39) | (~v135(constB39)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31611,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB39) | v142(constB39) | (~v135(constB39)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31612,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB39) | v142(constB39) | (~v135(constB39))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31611, 31610])).
% 39.70/26.15 tff(31613,plain,
% 39.70/26.15 (v142(constB39) | (~v135(constB39))),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31612, 17028, 31609])).
% 39.70/26.15 tff(31614,plain,
% 39.70/26.15 (~v135(constB39)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31613, 31574])).
% 39.70/26.15 tff(31615,plain,
% 39.70/26.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB39, constB40)) | v135(constB39) | (~v137(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB39, constB40)) | v135(constB39) | (~v137(constB40)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31616,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB39, constB40)) | v135(constB39) | (~v137(constB40)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31617,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB39, constB40)) | v135(constB39) | (~v137(constB40))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31616, 31615])).
% 39.70/26.15 tff(31618,plain,
% 39.70/26.15 (v135(constB39) | (~v137(constB40))),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31617, 17043, 4929])).
% 39.70/26.15 tff(31619,plain,
% 39.70/26.15 (~v137(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31618, 31614])).
% 39.70/26.15 tff(31620,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB40) | (~v138(constB40)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB40) | (~v138(constB40)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31621,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB40) | (~v138(constB40)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31622,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB40) | (~v138(constB40))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31621, 31620])).
% 39.70/26.15 tff(31623,plain,
% 39.70/26.15 (~v138(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31622, 17055, 31619])).
% 39.70/26.15 tff(31624,plain,
% 39.70/26.15 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB40)) | (~v141(constB40)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB40)) | (~v141(constB40)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31625,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB40)) | (~v141(constB40)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31626,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB40)) | (~v141(constB40))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 39.70/26.15 tff(31627,plain,
% 39.70/26.15 (~v141(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31626, 17066, 4949])).
% 39.70/26.15 tff(31628,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB40) | (~v144(constB40)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB40) | (~v144(constB40)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31629,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB40) | (~v144(constB40)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31630,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB40) | (~v144(constB40))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31629, 31628])).
% 39.70/26.15 tff(31631,plain,
% 39.70/26.15 (~v144(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31630, 17077, 31627])).
% 39.70/26.15 tff(31632,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB40) | (~v142(constB40)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB40) | (~v142(constB40)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31633,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB40) | (~v142(constB40)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31634,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB40) | (~v142(constB40))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 39.70/26.15 tff(31635,plain,
% 39.70/26.15 (~v142(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31634, 17014, 31631])).
% 39.70/26.15 tff(31636,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB40) | v142(constB40) | (~v135(constB40)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB40) | v142(constB40) | (~v135(constB40)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31637,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB40) | v142(constB40) | (~v135(constB40)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31638,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB40) | v142(constB40) | (~v135(constB40))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31637, 31636])).
% 39.70/26.15 tff(31639,plain,
% 39.70/26.15 (v138(constB40) | (~v135(constB40))),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31638, 17028, 31635])).
% 39.70/26.15 tff(31640,plain,
% 39.70/26.15 (~v135(constB40)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31639, 31623])).
% 39.70/26.15 tff(31641,plain,
% 39.70/26.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB40, constB41)) | v135(constB40) | (~v137(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB40, constB41)) | v135(constB40) | (~v137(constB41)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31642,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB40, constB41)) | v135(constB40) | (~v137(constB41)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31643,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB40, constB41)) | v135(constB40) | (~v137(constB41))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31642, 31641])).
% 39.70/26.15 tff(31644,plain,
% 39.70/26.15 (v135(constB40) | (~v137(constB41))),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31643, 17043, 4994])).
% 39.70/26.15 tff(31645,plain,
% 39.70/26.15 (~v137(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31644, 31640])).
% 39.70/26.15 tff(31646,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB41) | (~v154(constB41)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB41) | (~v154(constB41)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31647,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB41) | (~v154(constB41)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31648,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB41) | (~v154(constB41))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31647, 31646])).
% 39.70/26.15 tff(31649,plain,
% 39.70/26.15 (~v154(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31648, 17105, 31645])).
% 39.70/26.15 tff(31650,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB41) | v154(constB41) | (~v150(constB41)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB41) | v154(constB41) | (~v150(constB41)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31651,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB41) | v154(constB41) | (~v150(constB41)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31652,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB41) | v154(constB41) | (~v150(constB41))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31651, 31650])).
% 39.70/26.15 tff(31653,plain,
% 39.70/26.15 (v153(constB41) | (~v150(constB41))),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31652, 17170, 31649])).
% 39.70/26.15 tff(31654,plain,
% 39.70/26.15 (~v150(constB41)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31653, 31562])).
% 39.70/26.15 tff(31655,plain,
% 39.70/26.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB41, constB42)) | v150(constB41) | (~v152(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB41, constB42)) | v150(constB41) | (~v152(constB42)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31656,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB41, constB42)) | v150(constB41) | (~v152(constB42)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31657,plain,
% 39.70/26.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB41, constB42)) | v150(constB41) | (~v152(constB42))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31656, 31655])).
% 39.70/26.15 tff(31658,plain,
% 39.70/26.15 (v150(constB41) | (~v152(constB42))),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31657, 17185, 5113])).
% 39.70/26.15 tff(31659,plain,
% 39.70/26.15 (~v152(constB42)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31658, 31654])).
% 39.70/26.15 tff(31660,plain,
% 39.70/26.15 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB42) | (~v153(constB42)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB42) | (~v153(constB42)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31661,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB42) | (~v153(constB42)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31662,plain,
% 39.70/26.15 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB42) | (~v153(constB42))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31661, 31660])).
% 39.70/26.15 tff(31663,plain,
% 39.70/26.15 (~v153(constB42)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31662, 17197, 31659])).
% 39.70/26.15 tff(31664,plain,
% 39.70/26.15 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB42)) | (~v141(constB42)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB42)) | (~v141(constB42)))),
% 39.70/26.15 inference(rewrite,[status(thm)],[])).
% 39.70/26.15 tff(31665,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB42)) | (~v141(constB42)))),
% 39.70/26.15 inference(quant_inst,[status(thm)],[])).
% 39.70/26.15 tff(31666,plain,
% 39.70/26.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB42)) | (~v141(constB42))),
% 39.70/26.15 inference(modus_ponens,[status(thm)],[31665, 31664])).
% 39.70/26.15 tff(31667,plain,
% 39.70/26.15 (~v141(constB42)),
% 39.70/26.15 inference(unit_resolution,[status(thm)],[31666, 17066, 5133])).
% 39.70/26.16 tff(31668,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB42) | (~v155(constB42)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB42) | (~v155(constB42)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31669,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB42) | (~v155(constB42)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31670,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB42) | (~v155(constB42))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31669, 31668])).
% 39.70/26.16 tff(31671,plain,
% 39.70/26.16 (~v155(constB42)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31670, 17212, 31667])).
% 39.70/26.16 tff(31672,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB42) | (~v154(constB42)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB42) | (~v154(constB42)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31673,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB42) | (~v154(constB42)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31674,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB42) | (~v154(constB42))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31673, 31672])).
% 39.70/26.16 tff(31675,plain,
% 39.70/26.16 (~v154(constB42)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31674, 17223, 31671])).
% 39.70/26.16 tff(31676,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB42) | v154(constB42) | (~v150(constB42)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB42) | v154(constB42) | (~v150(constB42)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31677,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB42) | v154(constB42) | (~v150(constB42)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31678,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB42) | v154(constB42) | (~v150(constB42))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31677, 31676])).
% 39.70/26.16 tff(31679,plain,
% 39.70/26.16 (v153(constB42) | (~v150(constB42))),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31678, 17170, 31675])).
% 39.70/26.16 tff(31680,plain,
% 39.70/26.16 (~v150(constB42)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31679, 31663])).
% 39.70/26.16 tff(31681,plain,
% 39.70/26.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB42, constB43)) | v150(constB42) | (~v152(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB42, constB43)) | v150(constB42) | (~v152(constB43)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31682,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB42, constB43)) | v150(constB42) | (~v152(constB43)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31683,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB42, constB43)) | v150(constB42) | (~v152(constB43))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31682, 31681])).
% 39.70/26.16 tff(31684,plain,
% 39.70/26.16 (v150(constB42) | (~v152(constB43))),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31683, 17185, 5234])).
% 39.70/26.16 tff(31685,plain,
% 39.70/26.16 (~v152(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31684, 31680])).
% 39.70/26.16 tff(31686,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB43) | (~v164(constB43)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB43) | (~v164(constB43)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31687,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB43) | (~v164(constB43)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31688,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB43) | (~v164(constB43))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31687, 31686])).
% 39.70/26.16 tff(31689,plain,
% 39.70/26.16 (~v164(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31688, 17247, 31685])).
% 39.70/26.16 tff(31690,assumption,(v18(constB44)), introduced(assumption)).
% 39.70/26.16 tff(31691,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB44))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31692,plain,
% 39.70/26.16 ($false),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31691, 8, 31690])).
% 39.70/26.16 tff(31693,plain,(~v18(constB44)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.16 tff(31694,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31695,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31696,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31695, 31694])).
% 39.70/26.16 tff(31697,plain,
% 39.70/26.16 (v22(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31696, 21, 5373])).
% 39.70/26.16 tff(31698,plain,
% 39.70/26.16 (((~![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))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31699,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB44)) | (~v22(constB44)) | v18(constB44))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31700,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB44)) | (~v22(constB44)) | v18(constB44)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31699, 31698])).
% 39.70/26.16 tff(31701,plain,
% 39.70/26.16 ((~v19(constB44)) | v18(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31700, 35, 31697])).
% 39.70/26.16 tff(31702,plain,
% 39.70/26.16 (~v19(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31701, 31693])).
% 39.70/26.16 tff(31703,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31704,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31705,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31704, 31703])).
% 39.70/26.16 tff(31706,plain,
% 39.70/26.16 (v13(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31705, 50, 31702])).
% 39.70/26.16 tff(31707,plain,
% 39.70/26.16 (((~![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))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31708,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31709,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31708, 31707])).
% 39.70/26.16 tff(31710,plain,
% 39.70/26.16 ((~v13(constB44)) | v9(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31709, 67, 5353])).
% 39.70/26.16 tff(31711,plain,
% 39.70/26.16 (v9(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31710, 31706])).
% 39.70/26.16 tff(31712,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v141(constB43))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB43) | (~v9(constB43)) | v141(constB43))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31713,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v141(constB43))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31714,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB43) | (~v9(constB43)) | v141(constB43)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 39.70/26.16 tff(31715,plain,
% 39.70/26.16 ((~v9(constB43)) | v141(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31714, 85, 5231])).
% 39.70/26.16 tff(31716,plain,
% 39.70/26.16 (v141(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31715, 31711])).
% 39.70/26.16 tff(31717,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB43) | (~v141(constB43)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB43) | (~v141(constB43)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31718,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB43) | (~v141(constB43)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31719,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB43) | (~v141(constB43))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31718, 31717])).
% 39.70/26.16 tff(31720,plain,
% 39.70/26.16 (v140(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31719, 97, 31716])).
% 39.70/26.16 tff(31721,plain,
% 39.70/26.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB43)) | (~v163(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB43)) | (~v163(constB43)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31722,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB43)) | (~v163(constB43)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31723,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB43)) | (~v163(constB43))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31722, 31721])).
% 39.70/26.16 tff(31724,plain,
% 39.70/26.16 (~v163(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31723, 17298, 31720])).
% 39.70/26.16 tff(31725,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB43)) | v163(constB43) | v164(constB43))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB43)) | v163(constB43) | v164(constB43))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31726,plain,
% 39.70/26.16 ((v164(constB43) | v163(constB43) | (~v160(constB43))) <=> ((~v160(constB43)) | v163(constB43) | v164(constB43))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31727,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB43) | v163(constB43) | (~v160(constB43)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB43)) | v163(constB43) | v164(constB43)))),
% 39.70/26.16 inference(monotonicity,[status(thm)],[31726])).
% 39.70/26.16 tff(31728,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB43) | v163(constB43) | (~v160(constB43)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB43)) | v163(constB43) | v164(constB43))),
% 39.70/26.16 inference(transitivity,[status(thm)],[31727, 31725])).
% 39.70/26.16 tff(31729,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB43) | v163(constB43) | (~v160(constB43)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31730,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB43)) | v163(constB43) | v164(constB43)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31729, 31728])).
% 39.70/26.16 tff(31731,plain,
% 39.70/26.16 ((~v160(constB43)) | v164(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31730, 17312, 31724])).
% 39.70/26.16 tff(31732,plain,
% 39.70/26.16 (~v160(constB43)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31731, 31689])).
% 39.70/26.16 tff(31733,plain,
% 39.70/26.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB43, constB44)) | v160(constB43) | (~v162(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB43, constB44)) | v160(constB43) | (~v162(constB44)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31734,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB43, constB44)) | v160(constB43) | (~v162(constB44)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31735,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB43, constB44)) | v160(constB43) | (~v162(constB44))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31734, 31733])).
% 39.70/26.16 tff(31736,plain,
% 39.70/26.16 (v160(constB43) | (~v162(constB44))),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31735, 17330, 5353])).
% 39.70/26.16 tff(31737,plain,
% 39.70/26.16 (~v162(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31736, 31732])).
% 39.70/26.16 tff(31738,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB44) | (~v163(constB44)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB44) | (~v163(constB44)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31739,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB44) | (~v163(constB44)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31740,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB44) | (~v163(constB44))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31739, 31738])).
% 39.70/26.16 tff(31741,plain,
% 39.70/26.16 (~v163(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31740, 17342, 31737])).
% 39.70/26.16 tff(31742,plain,
% 39.70/26.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB44)) | (~v141(constB44)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB44)) | (~v141(constB44)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31743,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB44)) | (~v141(constB44)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31744,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB44)) | (~v141(constB44))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31743, 31742])).
% 39.70/26.16 tff(31745,plain,
% 39.70/26.16 (~v141(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31744, 17066, 5373])).
% 39.70/26.16 tff(31746,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB44) | (~v155(constB44)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB44) | (~v155(constB44)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31747,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB44) | (~v155(constB44)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31748,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB44) | (~v155(constB44))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31747, 31746])).
% 39.70/26.16 tff(31749,plain,
% 39.70/26.16 (~v155(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31748, 17212, 31745])).
% 39.70/26.16 tff(31750,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB44) | (~v164(constB44)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB44) | (~v164(constB44)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31751,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB44) | (~v164(constB44)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31752,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB44) | (~v164(constB44))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31751, 31750])).
% 39.70/26.16 tff(31753,plain,
% 39.70/26.16 (~v164(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31752, 17361, 31749])).
% 39.70/26.16 tff(31754,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB44)) | v164(constB44) | v163(constB44))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB44)) | v164(constB44) | v163(constB44))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31755,plain,
% 39.70/26.16 ((v164(constB44) | v163(constB44) | (~v160(constB44))) <=> ((~v160(constB44)) | v164(constB44) | v163(constB44))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31756,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB44) | v163(constB44) | (~v160(constB44)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB44)) | v164(constB44) | v163(constB44)))),
% 39.70/26.16 inference(monotonicity,[status(thm)],[31755])).
% 39.70/26.16 tff(31757,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB44) | v163(constB44) | (~v160(constB44)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB44)) | v164(constB44) | v163(constB44))),
% 39.70/26.16 inference(transitivity,[status(thm)],[31756, 31754])).
% 39.70/26.16 tff(31758,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB44) | v163(constB44) | (~v160(constB44)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31759,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB44)) | v164(constB44) | v163(constB44)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31758, 31757])).
% 39.70/26.16 tff(31760,plain,
% 39.70/26.16 ((~v160(constB44)) | v163(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31759, 17312, 31753])).
% 39.70/26.16 tff(31761,plain,
% 39.70/26.16 (~v160(constB44)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31760, 31741])).
% 39.70/26.16 tff(31762,plain,
% 39.70/26.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB44, constB45)) | v160(constB44) | (~v162(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB44, constB45)) | v160(constB44) | (~v162(constB45)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31763,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB44, constB45)) | v160(constB44) | (~v162(constB45)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31764,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB44, constB45)) | v160(constB44) | (~v162(constB45))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 39.70/26.16 tff(31765,plain,
% 39.70/26.16 (v160(constB44) | (~v162(constB45))),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31764, 17330, 5415])).
% 39.70/26.16 tff(31766,plain,
% 39.70/26.16 (~v162(constB45)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31765, 31761])).
% 39.70/26.16 tff(31767,plain,
% 39.70/26.16 ($false),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31766, 31527])).
% 39.70/26.16 tff(31768,plain,(~(constB45 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.16 tff(31769,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.16 tff(31770,plain,
% 39.70/26.16 (v1(constB126) <=> v1(sK0_VarCurr)),
% 39.70/26.16 inference(monotonicity,[status(thm)],[31769])).
% 39.70/26.16 tff(31771,plain,
% 39.70/26.16 (v1(sK0_VarCurr) <=> v1(constB126)),
% 39.70/26.16 inference(symmetry,[status(thm)],[31770])).
% 39.70/26.16 tff(31772,plain,
% 39.70/26.16 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 39.70/26.16 inference(monotonicity,[status(thm)],[31771])).
% 39.70/26.16 tff(31773,plain,
% 39.70/26.16 (~v1(constB126)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[23858, 31772])).
% 39.70/26.16 tff(31774,plain,
% 39.70/26.16 ($false),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[14652, 31773])).
% 39.70/26.16 tff(31775,plain,(~(constB126 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.16 tff(31776,assumption,(constB16 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.16 tff(31777,plain,
% 39.70/26.16 (v1(constB16) <=> v1(sK0_VarCurr)),
% 39.70/26.16 inference(monotonicity,[status(thm)],[31776])).
% 39.70/26.16 tff(31778,plain,
% 39.70/26.16 (v1(sK0_VarCurr) <=> v1(constB16)),
% 39.70/26.16 inference(symmetry,[status(thm)],[31777])).
% 39.70/26.16 tff(31779,plain,
% 39.70/26.16 ((~v1(sK0_VarCurr)) <=> (~v1(constB16))),
% 39.70/26.16 inference(monotonicity,[status(thm)],[31778])).
% 39.70/26.16 tff(31780,plain,
% 39.70/26.16 (~v1(constB16)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[23858, 31779])).
% 39.70/26.16 tff(31781,plain,
% 39.70/26.16 ($false),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[2302, 31780])).
% 39.70/26.16 tff(31782,plain,(~(constB16 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.16 tff(31783,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.16 tff(31784,plain,
% 39.70/26.16 (v162(constB67) <=> v162(sK0_VarCurr)),
% 39.70/26.16 inference(monotonicity,[status(thm)],[31783])).
% 39.70/26.16 tff(31785,plain,
% 39.70/26.16 (v162(sK0_VarCurr) <=> v162(constB67)),
% 39.70/26.16 inference(symmetry,[status(thm)],[31784])).
% 39.70/26.16 tff(31786,plain,
% 39.70/26.16 (v162(constB67)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[17398, 31785])).
% 39.70/26.16 tff(31787,plain,
% 39.70/26.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v145(constB61)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31788,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v145(constB61)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31789,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v145(constB61))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31788, 31787])).
% 39.70/26.16 tff(31790,plain,
% 39.70/26.16 (~v145(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31789, 1116, 7556])).
% 39.70/26.16 tff(31791,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB61) | (~v144(constB61)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB61) | (~v144(constB61)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31792,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB61) | (~v144(constB61)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31793,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB61) | (~v144(constB61))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31792, 31791])).
% 39.70/26.16 tff(31794,plain,
% 39.70/26.16 (~v144(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31793, 17003, 31790])).
% 39.70/26.16 tff(31795,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB61) | (~v142(constB61)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31796,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB61) | (~v142(constB61)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31797,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB61) | (~v142(constB61))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31796, 31795])).
% 39.70/26.16 tff(31798,plain,
% 39.70/26.16 (~v142(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31797, 17014, 31794])).
% 39.70/26.16 tff(31799,assumption,(v18(constB62)), introduced(assumption)).
% 39.70/26.16 tff(31800,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB62))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31801,plain,
% 39.70/26.16 ($false),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31800, 8, 31799])).
% 39.70/26.16 tff(31802,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.16 tff(31803,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31804,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31805,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31804, 31803])).
% 39.70/26.16 tff(31806,plain,
% 39.70/26.16 (v22(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31805, 21, 7646])).
% 39.70/26.16 tff(31807,plain,
% 39.70/26.16 (((~![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))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31808,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31809,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31808, 31807])).
% 39.70/26.16 tff(31810,plain,
% 39.70/26.16 ((~v19(constB62)) | v18(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31809, 35, 31806])).
% 39.70/26.16 tff(31811,plain,
% 39.70/26.16 (~v19(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31810, 31802])).
% 39.70/26.16 tff(31812,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31813,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31814,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31813, 31812])).
% 39.70/26.16 tff(31815,plain,
% 39.70/26.16 (v13(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31814, 50, 31811])).
% 39.70/26.16 tff(31816,plain,
% 39.70/26.16 (((~![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))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31817,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31818,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31817, 31816])).
% 39.70/26.16 tff(31819,plain,
% 39.70/26.16 ((~v13(constB62)) | v9(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31818, 67, 7626])).
% 39.70/26.16 tff(31820,plain,
% 39.70/26.16 (v9(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31819, 31815])).
% 39.70/26.16 tff(31821,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31822,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31823,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61)),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31822, 31821])).
% 39.70/26.16 tff(31824,plain,
% 39.70/26.16 ((~v9(constB61)) | v141(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31823, 85, 7501])).
% 39.70/26.16 tff(31825,plain,
% 39.70/26.16 (v141(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31824, 31820])).
% 39.70/26.16 tff(31826,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB61) | (~v141(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB61) | (~v141(constB61)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31827,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB61) | (~v141(constB61)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31828,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB61) | (~v141(constB61))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31827, 31826])).
% 39.70/26.16 tff(31829,plain,
% 39.70/26.16 (v140(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31828, 97, 31825])).
% 39.70/26.16 tff(31830,plain,
% 39.70/26.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB61)) | (~v140(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31831,plain,
% 39.70/26.16 (((~v140(constB61)) | (~v138(constB61))) <=> ((~v138(constB61)) | (~v140(constB61)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31832,plain,
% 39.70/26.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB61)) | (~v140(constB61))))),
% 39.70/26.16 inference(monotonicity,[status(thm)],[31831])).
% 39.70/26.16 tff(31833,plain,
% 39.70/26.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61)))),
% 39.70/26.16 inference(transitivity,[status(thm)],[31832, 31830])).
% 39.70/26.16 tff(31834,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31835,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31834, 31833])).
% 39.70/26.16 tff(31836,plain,
% 39.70/26.16 (~v138(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31835, 108, 31829])).
% 39.70/26.16 tff(31837,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB61) | v142(constB61) | (~v135(constB61)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB61) | v142(constB61) | (~v135(constB61)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31838,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB61) | v142(constB61) | (~v135(constB61)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31839,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB61) | v142(constB61) | (~v135(constB61))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 39.70/26.16 tff(31840,plain,
% 39.70/26.16 (v142(constB61) | (~v135(constB61))),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31839, 17028, 31836])).
% 39.70/26.16 tff(31841,plain,
% 39.70/26.16 (~v135(constB61)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31840, 31798])).
% 39.70/26.16 tff(31842,plain,
% 39.70/26.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31843,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31844,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 39.70/26.16 tff(31845,plain,
% 39.70/26.16 (v135(constB61) | (~v137(constB62))),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31844, 17043, 7626])).
% 39.70/26.16 tff(31846,plain,
% 39.70/26.16 (~v137(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31845, 31841])).
% 39.70/26.16 tff(31847,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB62) | (~v138(constB62)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB62) | (~v138(constB62)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31848,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB62) | (~v138(constB62)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31849,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB62) | (~v138(constB62))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31848, 31847])).
% 39.70/26.16 tff(31850,plain,
% 39.70/26.16 (~v138(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31849, 17055, 31846])).
% 39.70/26.16 tff(31851,plain,
% 39.70/26.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31852,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31853,plain,
% 39.70/26.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31852, 31851])).
% 39.70/26.16 tff(31854,plain,
% 39.70/26.16 (~v141(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31853, 17066, 7646])).
% 39.70/26.16 tff(31855,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB62) | (~v144(constB62)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB62) | (~v144(constB62)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31856,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB62) | (~v144(constB62)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31857,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB62) | (~v144(constB62))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31856, 31855])).
% 39.70/26.16 tff(31858,plain,
% 39.70/26.16 (~v144(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31857, 17077, 31854])).
% 39.70/26.16 tff(31859,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB62) | (~v142(constB62)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB62) | (~v142(constB62)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31860,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB62) | (~v142(constB62)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31861,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB62) | (~v142(constB62))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31860, 31859])).
% 39.70/26.16 tff(31862,plain,
% 39.70/26.16 (~v142(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31861, 17014, 31858])).
% 39.70/26.16 tff(31863,plain,
% 39.70/26.16 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB62) | v142(constB62) | (~v135(constB62)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB62) | v142(constB62) | (~v135(constB62)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31864,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB62) | v142(constB62) | (~v135(constB62)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31865,plain,
% 39.70/26.16 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB62) | v142(constB62) | (~v135(constB62))),
% 39.70/26.16 inference(modus_ponens,[status(thm)],[31864, 31863])).
% 39.70/26.16 tff(31866,plain,
% 39.70/26.16 (v138(constB62) | (~v135(constB62))),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31865, 17028, 31862])).
% 39.70/26.16 tff(31867,plain,
% 39.70/26.16 (~v135(constB62)),
% 39.70/26.16 inference(unit_resolution,[status(thm)],[31866, 31850])).
% 39.70/26.16 tff(31868,plain,
% 39.70/26.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))),
% 39.70/26.16 inference(rewrite,[status(thm)],[])).
% 39.70/26.16 tff(31869,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))),
% 39.70/26.16 inference(quant_inst,[status(thm)],[])).
% 39.70/26.16 tff(31870,plain,
% 39.70/26.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31869, 31868])).
% 39.70/26.17 tff(31871,plain,
% 39.70/26.17 (v135(constB62) | (~v137(constB63))),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31870, 17043, 7688])).
% 39.70/26.17 tff(31872,plain,
% 39.70/26.17 (~v137(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31871, 31867])).
% 39.70/26.17 tff(31873,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB63) | (~v154(constB63)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB63) | (~v154(constB63)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31874,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB63) | (~v154(constB63)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31875,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB63) | (~v154(constB63))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31874, 31873])).
% 39.70/26.17 tff(31876,plain,
% 39.70/26.17 (~v154(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31875, 17105, 31872])).
% 39.70/26.17 tff(31877,assumption,(v18(constB64)), introduced(assumption)).
% 39.70/26.17 tff(31878,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB64))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31879,plain,
% 39.70/26.17 ($false),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31878, 8, 31877])).
% 39.70/26.17 tff(31880,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.17 tff(31881,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31882,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31883,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31882, 31881])).
% 39.70/26.17 tff(31884,plain,
% 39.70/26.17 (v22(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31883, 21, 7829])).
% 39.70/26.17 tff(31885,plain,
% 39.70/26.17 (((~![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))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31886,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31887,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31886, 31885])).
% 39.70/26.17 tff(31888,plain,
% 39.70/26.17 ((~v19(constB64)) | v18(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31887, 35, 31884])).
% 39.70/26.17 tff(31889,plain,
% 39.70/26.17 (~v19(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31888, 31880])).
% 39.70/26.17 tff(31890,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31891,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31892,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 39.70/26.17 tff(31893,plain,
% 39.70/26.17 (v13(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31892, 50, 31889])).
% 39.70/26.17 tff(31894,plain,
% 39.70/26.17 (((~![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))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31895,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31896,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31895, 31894])).
% 39.70/26.17 tff(31897,plain,
% 39.70/26.17 ((~v13(constB64)) | v9(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31896, 67, 7809])).
% 39.70/26.17 tff(31898,plain,
% 39.70/26.17 (v9(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31897, 31893])).
% 39.70/26.17 tff(31899,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31900,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31901,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31900, 31899])).
% 39.70/26.17 tff(31902,plain,
% 39.70/26.17 ((~v9(constB63)) | v141(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31901, 85, 7685])).
% 39.70/26.17 tff(31903,plain,
% 39.70/26.17 (v141(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31902, 31898])).
% 39.70/26.17 tff(31904,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB63) | (~v141(constB63)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB63) | (~v141(constB63)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31905,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB63) | (~v141(constB63)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31906,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB63) | (~v141(constB63))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31905, 31904])).
% 39.70/26.17 tff(31907,plain,
% 39.70/26.17 (v140(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31906, 97, 31903])).
% 39.70/26.17 tff(31908,plain,
% 39.70/26.17 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB63)) | (~v153(constB63)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB63)) | (~v153(constB63)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31909,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB63)) | (~v153(constB63)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31910,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB63)) | (~v153(constB63))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31909, 31908])).
% 39.70/26.17 tff(31911,plain,
% 39.70/26.17 (~v153(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31910, 17156, 31907])).
% 39.70/26.17 tff(31912,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB63) | v154(constB63) | (~v150(constB63)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB63) | v154(constB63) | (~v150(constB63)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31913,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB63) | v154(constB63) | (~v150(constB63)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31914,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB63) | v154(constB63) | (~v150(constB63))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31913, 31912])).
% 39.70/26.17 tff(31915,plain,
% 39.70/26.17 (v154(constB63) | (~v150(constB63))),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31914, 17170, 31911])).
% 39.70/26.17 tff(31916,plain,
% 39.70/26.17 (~v150(constB63)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31915, 31876])).
% 39.70/26.17 tff(31917,plain,
% 39.70/26.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31918,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31919,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31918, 31917])).
% 39.70/26.17 tff(31920,plain,
% 39.70/26.17 (v150(constB63) | (~v152(constB64))),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31919, 17185, 7809])).
% 39.70/26.17 tff(31921,plain,
% 39.70/26.17 (~v152(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31920, 31916])).
% 39.70/26.17 tff(31922,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB64) | (~v153(constB64)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB64) | (~v153(constB64)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31923,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB64) | (~v153(constB64)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31924,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB64) | (~v153(constB64))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31923, 31922])).
% 39.70/26.17 tff(31925,plain,
% 39.70/26.17 (~v153(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31924, 17197, 31921])).
% 39.70/26.17 tff(31926,plain,
% 39.70/26.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB64)) | (~v141(constB64)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB64)) | (~v141(constB64)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31927,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB64)) | (~v141(constB64)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31928,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB64)) | (~v141(constB64))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31927, 31926])).
% 39.70/26.17 tff(31929,plain,
% 39.70/26.17 (~v141(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31928, 17066, 7829])).
% 39.70/26.17 tff(31930,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB64) | (~v155(constB64)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB64) | (~v155(constB64)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31931,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB64) | (~v155(constB64)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31932,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB64) | (~v155(constB64))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31931, 31930])).
% 39.70/26.17 tff(31933,plain,
% 39.70/26.17 (~v155(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31932, 17212, 31929])).
% 39.70/26.17 tff(31934,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB64) | (~v154(constB64)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB64) | (~v154(constB64)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31935,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB64) | (~v154(constB64)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31936,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB64) | (~v154(constB64))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31935, 31934])).
% 39.70/26.17 tff(31937,plain,
% 39.70/26.17 (~v154(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31936, 17223, 31933])).
% 39.70/26.17 tff(31938,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB64) | v154(constB64) | (~v150(constB64)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB64) | v154(constB64) | (~v150(constB64)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31939,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB64) | v154(constB64) | (~v150(constB64)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31940,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB64) | v154(constB64) | (~v150(constB64))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31939, 31938])).
% 39.70/26.17 tff(31941,plain,
% 39.70/26.17 (v153(constB64) | (~v150(constB64))),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31940, 17170, 31937])).
% 39.70/26.17 tff(31942,plain,
% 39.70/26.17 (~v150(constB64)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31941, 31925])).
% 39.70/26.17 tff(31943,plain,
% 39.70/26.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31944,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31945,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31944, 31943])).
% 39.70/26.17 tff(31946,plain,
% 39.70/26.17 (v150(constB64) | (~v152(constB65))),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31945, 17185, 7871])).
% 39.70/26.17 tff(31947,plain,
% 39.70/26.17 (~v152(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31946, 31942])).
% 39.70/26.17 tff(31948,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB65) | (~v164(constB65)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB65) | (~v164(constB65)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31949,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB65) | (~v164(constB65)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31950,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB65) | (~v164(constB65))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31949, 31948])).
% 39.70/26.17 tff(31951,plain,
% 39.70/26.17 (~v164(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31950, 17247, 31947])).
% 39.70/26.17 tff(31952,assumption,(v18(constB66)), introduced(assumption)).
% 39.70/26.17 tff(31953,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB66))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31954,plain,
% 39.70/26.17 ($false),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31953, 8, 31952])).
% 39.70/26.17 tff(31955,plain,(~v18(constB66)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.17 tff(31956,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31957,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31958,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31957, 31956])).
% 39.70/26.17 tff(31959,plain,
% 39.70/26.17 (v22(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31958, 21, 8001])).
% 39.70/26.17 tff(31960,plain,
% 39.70/26.17 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB66)) | (~v22(constB66)) | v18(constB66))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB66)) | (~v22(constB66)) | v18(constB66))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31961,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB66)) | (~v22(constB66)) | v18(constB66))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31962,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB66)) | (~v22(constB66)) | v18(constB66)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31961, 31960])).
% 39.70/26.17 tff(31963,plain,
% 39.70/26.17 ((~v19(constB66)) | v18(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31962, 35, 31959])).
% 39.70/26.17 tff(31964,plain,
% 39.70/26.17 (~v19(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31963, 31955])).
% 39.70/26.17 tff(31965,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31966,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31967,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31966, 31965])).
% 39.70/26.17 tff(31968,plain,
% 39.70/26.17 (v13(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31967, 50, 31964])).
% 39.70/26.17 tff(31969,plain,
% 39.70/26.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31970,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31971,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31970, 31969])).
% 39.70/26.17 tff(31972,plain,
% 39.70/26.17 ((~v13(constB66)) | v9(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31971, 67, 7981])).
% 39.70/26.17 tff(31973,plain,
% 39.70/26.17 (v9(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31972, 31968])).
% 39.70/26.17 tff(31974,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v141(constB65))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB65) | (~v9(constB65)) | v141(constB65))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31975,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v141(constB65))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31976,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB65) | (~v9(constB65)) | v141(constB65)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31975, 31974])).
% 39.70/26.17 tff(31977,plain,
% 39.70/26.17 ((~v9(constB65)) | v141(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31976, 85, 7868])).
% 39.70/26.17 tff(31978,plain,
% 39.70/26.17 (v141(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31977, 31973])).
% 39.70/26.17 tff(31979,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB65) | (~v141(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB65) | (~v141(constB65)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31980,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB65) | (~v141(constB65)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31981,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB65) | (~v141(constB65))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31980, 31979])).
% 39.70/26.17 tff(31982,plain,
% 39.70/26.17 (v140(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31981, 97, 31978])).
% 39.70/26.17 tff(31983,plain,
% 39.70/26.17 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB65)) | (~v163(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB65)) | (~v163(constB65)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31984,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB65)) | (~v163(constB65)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31985,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB65)) | (~v163(constB65))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31984, 31983])).
% 39.70/26.17 tff(31986,plain,
% 39.70/26.17 (~v163(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31985, 17298, 31982])).
% 39.70/26.17 tff(31987,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB65)) | v163(constB65) | v164(constB65))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB65)) | v163(constB65) | v164(constB65))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31988,plain,
% 39.70/26.17 ((v164(constB65) | v163(constB65) | (~v160(constB65))) <=> ((~v160(constB65)) | v163(constB65) | v164(constB65))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31989,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB65) | v163(constB65) | (~v160(constB65)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB65)) | v163(constB65) | v164(constB65)))),
% 39.70/26.17 inference(monotonicity,[status(thm)],[31988])).
% 39.70/26.17 tff(31990,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB65) | v163(constB65) | (~v160(constB65)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB65)) | v163(constB65) | v164(constB65))),
% 39.70/26.17 inference(transitivity,[status(thm)],[31989, 31987])).
% 39.70/26.17 tff(31991,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB65) | v163(constB65) | (~v160(constB65)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31992,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB65)) | v163(constB65) | v164(constB65)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31991, 31990])).
% 39.70/26.17 tff(31993,plain,
% 39.70/26.17 ((~v160(constB65)) | v164(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31992, 17312, 31986])).
% 39.70/26.17 tff(31994,plain,
% 39.70/26.17 (~v160(constB65)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31993, 31951])).
% 39.70/26.17 tff(31995,plain,
% 39.70/26.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(31996,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(31997,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[31996, 31995])).
% 39.70/26.17 tff(31998,plain,
% 39.70/26.17 (v160(constB65) | (~v162(constB66))),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31997, 17330, 7981])).
% 39.70/26.17 tff(31999,plain,
% 39.70/26.17 (~v162(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[31998, 31994])).
% 39.70/26.17 tff(32000,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB66) | (~v163(constB66)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB66) | (~v163(constB66)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(32001,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB66) | (~v163(constB66)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(32002,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB66) | (~v163(constB66))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[32001, 32000])).
% 39.70/26.17 tff(32003,plain,
% 39.70/26.17 (~v163(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32002, 17342, 31999])).
% 39.70/26.17 tff(32004,plain,
% 39.70/26.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB66)) | (~v141(constB66)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB66)) | (~v141(constB66)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(32005,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB66)) | (~v141(constB66)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(32006,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB66)) | (~v141(constB66))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[32005, 32004])).
% 39.70/26.17 tff(32007,plain,
% 39.70/26.17 (~v141(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32006, 17066, 8001])).
% 39.70/26.17 tff(32008,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB66) | (~v155(constB66)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB66) | (~v155(constB66)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(32009,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB66) | (~v155(constB66)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(32010,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB66) | (~v155(constB66))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[32009, 32008])).
% 39.70/26.17 tff(32011,plain,
% 39.70/26.17 (~v155(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32010, 17212, 32007])).
% 39.70/26.17 tff(32012,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB66) | (~v164(constB66)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB66) | (~v164(constB66)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(32013,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB66) | (~v164(constB66)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(32014,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB66) | (~v164(constB66))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[32013, 32012])).
% 39.70/26.17 tff(32015,plain,
% 39.70/26.17 (~v164(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32014, 17361, 32011])).
% 39.70/26.17 tff(32016,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB66)) | v164(constB66) | v163(constB66))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB66)) | v164(constB66) | v163(constB66))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(32017,plain,
% 39.70/26.17 ((v164(constB66) | v163(constB66) | (~v160(constB66))) <=> ((~v160(constB66)) | v164(constB66) | v163(constB66))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(32018,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB66) | v163(constB66) | (~v160(constB66)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB66)) | v164(constB66) | v163(constB66)))),
% 39.70/26.17 inference(monotonicity,[status(thm)],[32017])).
% 39.70/26.17 tff(32019,plain,
% 39.70/26.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB66) | v163(constB66) | (~v160(constB66)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB66)) | v164(constB66) | v163(constB66))),
% 39.70/26.17 inference(transitivity,[status(thm)],[32018, 32016])).
% 39.70/26.17 tff(32020,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB66) | v163(constB66) | (~v160(constB66)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(32021,plain,
% 39.70/26.17 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB66)) | v164(constB66) | v163(constB66)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[32020, 32019])).
% 39.70/26.17 tff(32022,plain,
% 39.70/26.17 ((~v160(constB66)) | v163(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32021, 17312, 32015])).
% 39.70/26.17 tff(32023,plain,
% 39.70/26.17 (~v160(constB66)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32022, 32003])).
% 39.70/26.17 tff(32024,plain,
% 39.70/26.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(32025,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))),
% 39.70/26.17 inference(quant_inst,[status(thm)],[])).
% 39.70/26.17 tff(32026,plain,
% 39.70/26.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67))),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[32025, 32024])).
% 39.70/26.17 tff(32027,plain,
% 39.70/26.17 (v160(constB66) | (~v162(constB67))),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32026, 17330, 8073])).
% 39.70/26.17 tff(32028,plain,
% 39.70/26.17 (~v162(constB67)),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32027, 32023])).
% 39.70/26.17 tff(32029,plain,
% 39.70/26.17 ($false),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[32028, 31786])).
% 39.70/26.17 tff(32030,plain,(~(constB67 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.17 tff(32031,assumption,(constB2 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.17 tff(32032,plain,
% 39.70/26.17 (v1(constB2) <=> v1(sK0_VarCurr)),
% 39.70/26.17 inference(monotonicity,[status(thm)],[32031])).
% 39.70/26.17 tff(32033,plain,
% 39.70/26.17 (v1(sK0_VarCurr) <=> v1(constB2)),
% 39.70/26.17 inference(symmetry,[status(thm)],[32032])).
% 39.70/26.17 tff(32034,plain,
% 39.70/26.17 ((~v1(sK0_VarCurr)) <=> (~v1(constB2))),
% 39.70/26.17 inference(monotonicity,[status(thm)],[32033])).
% 39.70/26.17 tff(32035,plain,
% 39.70/26.17 (~v1(constB2)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[23858, 32034])).
% 39.70/26.17 tff(32036,plain,
% 39.70/26.17 ($false),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[419, 32035])).
% 39.70/26.17 tff(32037,plain,(~(constB2 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.17 tff(32038,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.17 tff(32039,plain,
% 39.70/26.17 (v1(constB198) <=> v1(sK0_VarCurr)),
% 39.70/26.17 inference(monotonicity,[status(thm)],[32038])).
% 39.70/26.17 tff(32040,plain,
% 39.70/26.17 (v1(sK0_VarCurr) <=> v1(constB198)),
% 39.70/26.17 inference(symmetry,[status(thm)],[32039])).
% 39.70/26.17 tff(32041,plain,
% 39.70/26.17 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 39.70/26.17 inference(monotonicity,[status(thm)],[32040])).
% 39.70/26.17 tff(32042,plain,
% 39.70/26.17 (~v1(constB198)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[23858, 32041])).
% 39.70/26.17 tff(32043,plain,
% 39.70/26.17 ($false),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[29583, 32042])).
% 39.70/26.17 tff(32044,plain,(~(constB198 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.17 tff(32045,assumption,(constB162 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.17 tff(32046,plain,
% 39.70/26.17 (v1(constB162) <=> v1(sK0_VarCurr)),
% 39.70/26.17 inference(monotonicity,[status(thm)],[32045])).
% 39.70/26.17 tff(32047,plain,
% 39.70/26.17 (v1(sK0_VarCurr) <=> v1(constB162)),
% 39.70/26.17 inference(symmetry,[status(thm)],[32046])).
% 39.70/26.17 tff(32048,plain,
% 39.70/26.17 ((~v1(sK0_VarCurr)) <=> (~v1(constB162))),
% 39.70/26.17 inference(monotonicity,[status(thm)],[32047])).
% 39.70/26.17 tff(32049,plain,
% 39.70/26.17 (~v1(constB162)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[23858, 32048])).
% 39.70/26.17 tff(32050,plain,
% 39.70/26.17 ($false),
% 39.70/26.17 inference(unit_resolution,[status(thm)],[19017, 32049])).
% 39.70/26.17 tff(32051,plain,(~(constB162 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.70/26.17 tff(32052,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 39.70/26.17 tff(32053,plain,
% 39.70/26.17 (v162(constB49) <=> v162(sK0_VarCurr)),
% 39.70/26.17 inference(monotonicity,[status(thm)],[32052])).
% 39.70/26.17 tff(32054,plain,
% 39.70/26.17 (v162(sK0_VarCurr) <=> v162(constB49)),
% 39.70/26.17 inference(symmetry,[status(thm)],[32053])).
% 39.70/26.17 tff(32055,plain,
% 39.70/26.17 (v162(constB49)),
% 39.70/26.17 inference(modus_ponens,[status(thm)],[17398, 32054])).
% 39.70/26.17 tff(32056,plain,
% 39.70/26.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB43, bitIndex2)) | (~v145(constB43)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB43, bitIndex2)) | (~v145(constB43)))),
% 39.70/26.17 inference(rewrite,[status(thm)],[])).
% 39.70/26.17 tff(32057,plain,
% 39.70/26.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB43, bitIndex2)) | (~v145(constB43)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32058,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB43, bitIndex2)) | (~v145(constB43))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32057, 32056])).
% 39.78/26.18 tff(32059,plain,
% 39.78/26.18 (~v145(constB43)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32058, 5709, 22738])).
% 39.78/26.18 tff(32060,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB43) | (~v144(constB43)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB43) | (~v144(constB43)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32061,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB43) | (~v144(constB43)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32062,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB43) | (~v144(constB43))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32061, 32060])).
% 39.78/26.18 tff(32063,plain,
% 39.78/26.18 (~v144(constB43)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32062, 17003, 32059])).
% 39.78/26.18 tff(32064,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB43) | (~v142(constB43)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB43) | (~v142(constB43)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32065,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB43) | (~v142(constB43)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32066,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB43) | (~v142(constB43))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32065, 32064])).
% 39.78/26.18 tff(32067,plain,
% 39.78/26.18 (~v142(constB43)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32066, 17014, 32063])).
% 39.78/26.18 tff(32068,plain,
% 39.78/26.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB43)) | (~v140(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB43)) | (~v140(constB43)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32069,plain,
% 39.78/26.18 (((~v140(constB43)) | (~v138(constB43))) <=> ((~v138(constB43)) | (~v140(constB43)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32070,plain,
% 39.78/26.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB43)) | (~v138(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB43)) | (~v140(constB43))))),
% 39.78/26.18 inference(monotonicity,[status(thm)],[32069])).
% 39.78/26.18 tff(32071,plain,
% 39.78/26.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB43)) | (~v138(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB43)) | (~v140(constB43)))),
% 39.78/26.18 inference(transitivity,[status(thm)],[32070, 32068])).
% 39.78/26.18 tff(32072,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB43)) | (~v138(constB43)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32073,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB43)) | (~v140(constB43))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32072, 32071])).
% 39.78/26.18 tff(32074,plain,
% 39.78/26.18 (~v138(constB43)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32073, 108, 31720])).
% 39.78/26.18 tff(32075,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB43) | v142(constB43) | (~v135(constB43)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB43) | v142(constB43) | (~v135(constB43)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32076,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB43) | v142(constB43) | (~v135(constB43)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32077,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB43) | v142(constB43) | (~v135(constB43))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32076, 32075])).
% 39.78/26.18 tff(32078,plain,
% 39.78/26.18 (v142(constB43) | (~v135(constB43))),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32077, 17028, 32074])).
% 39.78/26.18 tff(32079,plain,
% 39.78/26.18 (~v135(constB43)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32078, 32067])).
% 39.78/26.18 tff(32080,plain,
% 39.78/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32081,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32082,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32081, 32080])).
% 39.78/26.18 tff(32083,plain,
% 39.78/26.18 (v135(constB43) | (~v137(constB44))),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32082, 17043, 5353])).
% 39.78/26.18 tff(32084,plain,
% 39.78/26.18 (~v137(constB44)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32083, 32079])).
% 39.78/26.18 tff(32085,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB44) | (~v138(constB44)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB44) | (~v138(constB44)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32086,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB44) | (~v138(constB44)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32087,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB44) | (~v138(constB44))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32086, 32085])).
% 39.78/26.18 tff(32088,plain,
% 39.78/26.18 (~v138(constB44)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32087, 17055, 32084])).
% 39.78/26.18 tff(32089,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB44) | (~v144(constB44)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB44) | (~v144(constB44)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32090,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB44) | (~v144(constB44)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32091,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB44) | (~v144(constB44))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32090, 32089])).
% 39.78/26.18 tff(32092,plain,
% 39.78/26.18 (~v144(constB44)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32091, 17077, 31745])).
% 39.78/26.18 tff(32093,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB44) | (~v142(constB44)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB44) | (~v142(constB44)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32094,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB44) | (~v142(constB44)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32095,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB44) | (~v142(constB44))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32094, 32093])).
% 39.78/26.18 tff(32096,plain,
% 39.78/26.18 (~v142(constB44)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32095, 17014, 32092])).
% 39.78/26.18 tff(32097,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB44) | v142(constB44) | (~v135(constB44)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB44) | v142(constB44) | (~v135(constB44)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32098,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB44) | v142(constB44) | (~v135(constB44)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32099,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB44) | v142(constB44) | (~v135(constB44))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 39.78/26.18 tff(32100,plain,
% 39.78/26.18 (v138(constB44) | (~v135(constB44))),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32099, 17028, 32096])).
% 39.78/26.18 tff(32101,plain,
% 39.78/26.18 (~v135(constB44)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32100, 32088])).
% 39.78/26.18 tff(32102,plain,
% 39.78/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32103,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32104,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32103, 32102])).
% 39.78/26.18 tff(32105,plain,
% 39.78/26.18 (v135(constB44) | (~v137(constB45))),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32104, 17043, 5415])).
% 39.78/26.18 tff(32106,plain,
% 39.78/26.18 (~v137(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32105, 32101])).
% 39.78/26.18 tff(32107,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB45) | (~v154(constB45)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB45) | (~v154(constB45)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32108,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB45) | (~v154(constB45)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32109,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB45) | (~v154(constB45))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32108, 32107])).
% 39.78/26.18 tff(32110,plain,
% 39.78/26.18 (~v154(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32109, 17105, 32106])).
% 39.78/26.18 tff(32111,assumption,(v18(constB46)), introduced(assumption)).
% 39.78/26.18 tff(32112,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB46))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32113,plain,
% 39.78/26.18 ($false),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32112, 8, 32111])).
% 39.78/26.18 tff(32114,plain,(~v18(constB46)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.18 tff(32115,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32116,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32117,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32116, 32115])).
% 39.78/26.18 tff(32118,plain,
% 39.78/26.18 (v22(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32117, 21, 5658])).
% 39.78/26.18 tff(32119,plain,
% 39.78/26.18 (((~![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))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32120,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB46)) | (~v22(constB46)) | v18(constB46))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32121,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB46)) | (~v22(constB46)) | v18(constB46)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32120, 32119])).
% 39.78/26.18 tff(32122,plain,
% 39.78/26.18 ((~v19(constB46)) | v18(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32121, 35, 32118])).
% 39.78/26.18 tff(32123,plain,
% 39.78/26.18 (~v19(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32122, 32114])).
% 39.78/26.18 tff(32124,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32125,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32126,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32125, 32124])).
% 39.78/26.18 tff(32127,plain,
% 39.78/26.18 (v13(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32126, 50, 32123])).
% 39.78/26.18 tff(32128,plain,
% 39.78/26.18 (((~![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))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32129,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32130,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 39.78/26.18 tff(32131,plain,
% 39.78/26.18 ((~v13(constB46)) | v9(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32130, 67, 5638])).
% 39.78/26.18 tff(32132,plain,
% 39.78/26.18 (v9(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32131, 32127])).
% 39.78/26.18 tff(32133,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v141(constB45))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB45) | (~v9(constB45)) | v141(constB45))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32134,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v141(constB45))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32135,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB45) | (~v9(constB45)) | v141(constB45)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32134, 32133])).
% 39.78/26.18 tff(32136,plain,
% 39.78/26.18 ((~v9(constB45)) | v141(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32135, 85, 5412])).
% 39.78/26.18 tff(32137,plain,
% 39.78/26.18 (v141(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32136, 32132])).
% 39.78/26.18 tff(32138,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB45) | (~v141(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB45) | (~v141(constB45)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32139,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB45) | (~v141(constB45)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32140,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB45) | (~v141(constB45))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32139, 32138])).
% 39.78/26.18 tff(32141,plain,
% 39.78/26.18 (v140(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32140, 97, 32137])).
% 39.78/26.18 tff(32142,plain,
% 39.78/26.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB45)) | (~v153(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB45)) | (~v153(constB45)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32143,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB45)) | (~v153(constB45)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32144,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB45)) | (~v153(constB45))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32143, 32142])).
% 39.78/26.18 tff(32145,plain,
% 39.78/26.18 (~v153(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32144, 17156, 32141])).
% 39.78/26.18 tff(32146,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB45) | v154(constB45) | (~v150(constB45)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB45) | v154(constB45) | (~v150(constB45)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32147,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB45) | v154(constB45) | (~v150(constB45)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32148,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB45) | v154(constB45) | (~v150(constB45))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32147, 32146])).
% 39.78/26.18 tff(32149,plain,
% 39.78/26.18 (v154(constB45) | (~v150(constB45))),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32148, 17170, 32145])).
% 39.78/26.18 tff(32150,plain,
% 39.78/26.18 (~v150(constB45)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32149, 32110])).
% 39.78/26.18 tff(32151,plain,
% 39.78/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32152,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32153,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32152, 32151])).
% 39.78/26.18 tff(32154,plain,
% 39.78/26.18 (v150(constB45) | (~v152(constB46))),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32153, 17185, 5638])).
% 39.78/26.18 tff(32155,plain,
% 39.78/26.18 (~v152(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32154, 32150])).
% 39.78/26.18 tff(32156,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB46) | (~v153(constB46)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB46) | (~v153(constB46)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32157,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB46) | (~v153(constB46)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32158,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB46) | (~v153(constB46))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32157, 32156])).
% 39.78/26.18 tff(32159,plain,
% 39.78/26.18 (~v153(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32158, 17197, 32155])).
% 39.78/26.18 tff(32160,plain,
% 39.78/26.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB46)) | (~v141(constB46)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB46)) | (~v141(constB46)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32161,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB46)) | (~v141(constB46)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32162,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB46)) | (~v141(constB46))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32161, 32160])).
% 39.78/26.18 tff(32163,plain,
% 39.78/26.18 (~v141(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32162, 17066, 5658])).
% 39.78/26.18 tff(32164,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB46) | (~v155(constB46)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB46) | (~v155(constB46)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32165,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB46) | (~v155(constB46)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32166,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB46) | (~v155(constB46))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32165, 32164])).
% 39.78/26.18 tff(32167,plain,
% 39.78/26.18 (~v155(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32166, 17212, 32163])).
% 39.78/26.18 tff(32168,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB46) | (~v154(constB46)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB46) | (~v154(constB46)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32169,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB46) | (~v154(constB46)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32170,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB46) | (~v154(constB46))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32169, 32168])).
% 39.78/26.18 tff(32171,plain,
% 39.78/26.18 (~v154(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32170, 17223, 32167])).
% 39.78/26.18 tff(32172,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB46) | v154(constB46) | (~v150(constB46)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB46) | v154(constB46) | (~v150(constB46)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32173,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB46) | v154(constB46) | (~v150(constB46)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32174,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB46) | v154(constB46) | (~v150(constB46))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32173, 32172])).
% 39.78/26.18 tff(32175,plain,
% 39.78/26.18 (v153(constB46) | (~v150(constB46))),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32174, 17170, 32171])).
% 39.78/26.18 tff(32176,plain,
% 39.78/26.18 (~v150(constB46)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32175, 32159])).
% 39.78/26.18 tff(32177,plain,
% 39.78/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32178,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32179,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32178, 32177])).
% 39.78/26.18 tff(32180,plain,
% 39.78/26.18 (v150(constB46) | (~v152(constB47))),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32179, 17185, 5748])).
% 39.78/26.18 tff(32181,plain,
% 39.78/26.18 (~v152(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32180, 32176])).
% 39.78/26.18 tff(32182,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB47) | (~v164(constB47)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB47) | (~v164(constB47)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32183,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB47) | (~v164(constB47)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32184,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB47) | (~v164(constB47))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32183, 32182])).
% 39.78/26.18 tff(32185,plain,
% 39.78/26.18 (~v164(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32184, 17247, 32181])).
% 39.78/26.18 tff(32186,assumption,(v18(constB48)), introduced(assumption)).
% 39.78/26.18 tff(32187,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB48))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32188,plain,
% 39.78/26.18 ($false),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32187, 8, 32186])).
% 39.78/26.18 tff(32189,plain,(~v18(constB48)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.18 tff(32190,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32191,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32192,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32191, 32190])).
% 39.78/26.18 tff(32193,plain,
% 39.78/26.18 (v22(constB48)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32192, 21, 5912])).
% 39.78/26.18 tff(32194,plain,
% 39.78/26.18 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB48)) | (~v22(constB48)) | v18(constB48))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB48)) | (~v22(constB48)) | v18(constB48))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32195,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB48)) | (~v22(constB48)) | v18(constB48))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32196,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB48)) | (~v22(constB48)) | v18(constB48)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32195, 32194])).
% 39.78/26.18 tff(32197,plain,
% 39.78/26.18 ((~v19(constB48)) | v18(constB48)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32196, 35, 32193])).
% 39.78/26.18 tff(32198,plain,
% 39.78/26.18 (~v19(constB48)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32197, 32189])).
% 39.78/26.18 tff(32199,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32200,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32201,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32200, 32199])).
% 39.78/26.18 tff(32202,plain,
% 39.78/26.18 (v13(constB48)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32201, 50, 32198])).
% 39.78/26.18 tff(32203,plain,
% 39.78/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32204,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32205,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32204, 32203])).
% 39.78/26.18 tff(32206,plain,
% 39.78/26.18 ((~v13(constB48)) | v9(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32205, 67, 5892])).
% 39.78/26.18 tff(32207,plain,
% 39.78/26.18 (v9(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32206, 32202])).
% 39.78/26.18 tff(32208,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v141(constB47))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB47) | (~v9(constB47)) | v141(constB47))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32209,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v141(constB47))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32210,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB47) | (~v9(constB47)) | v141(constB47)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32209, 32208])).
% 39.78/26.18 tff(32211,plain,
% 39.78/26.18 ((~v9(constB47)) | v141(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32210, 85, 5745])).
% 39.78/26.18 tff(32212,plain,
% 39.78/26.18 (v141(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32211, 32207])).
% 39.78/26.18 tff(32213,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB47) | (~v141(constB47)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB47) | (~v141(constB47)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32214,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB47) | (~v141(constB47)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32215,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB47) | (~v141(constB47))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32214, 32213])).
% 39.78/26.18 tff(32216,plain,
% 39.78/26.18 (v140(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32215, 97, 32212])).
% 39.78/26.18 tff(32217,plain,
% 39.78/26.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB47)) | (~v163(constB47)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB47)) | (~v163(constB47)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32218,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB47)) | (~v163(constB47)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32219,plain,
% 39.78/26.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB47)) | (~v163(constB47))),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32218, 32217])).
% 39.78/26.18 tff(32220,plain,
% 39.78/26.18 (~v163(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32219, 17298, 32216])).
% 39.78/26.18 tff(32221,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB47)) | v163(constB47) | v164(constB47))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB47)) | v163(constB47) | v164(constB47))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32222,plain,
% 39.78/26.18 ((v164(constB47) | v163(constB47) | (~v160(constB47))) <=> ((~v160(constB47)) | v163(constB47) | v164(constB47))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32223,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB47) | v163(constB47) | (~v160(constB47)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB47)) | v163(constB47) | v164(constB47)))),
% 39.78/26.18 inference(monotonicity,[status(thm)],[32222])).
% 39.78/26.18 tff(32224,plain,
% 39.78/26.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB47) | v163(constB47) | (~v160(constB47)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB47)) | v163(constB47) | v164(constB47))),
% 39.78/26.18 inference(transitivity,[status(thm)],[32223, 32221])).
% 39.78/26.18 tff(32225,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB47) | v163(constB47) | (~v160(constB47)))),
% 39.78/26.18 inference(quant_inst,[status(thm)],[])).
% 39.78/26.18 tff(32226,plain,
% 39.78/26.18 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB47)) | v163(constB47) | v164(constB47)),
% 39.78/26.18 inference(modus_ponens,[status(thm)],[32225, 32224])).
% 39.78/26.18 tff(32227,plain,
% 39.78/26.18 ((~v160(constB47)) | v164(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32226, 17312, 32220])).
% 39.78/26.18 tff(32228,plain,
% 39.78/26.18 (~v160(constB47)),
% 39.78/26.18 inference(unit_resolution,[status(thm)],[32227, 32185])).
% 39.78/26.18 tff(32229,plain,
% 39.78/26.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))),
% 39.78/26.18 inference(rewrite,[status(thm)],[])).
% 39.78/26.18 tff(32230,plain,
% 39.78/26.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32231,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32230, 32229])).
% 39.78/26.19 tff(32232,plain,
% 39.78/26.19 (v160(constB47) | (~v162(constB48))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32231, 17330, 5892])).
% 39.78/26.19 tff(32233,plain,
% 39.78/26.19 (~v162(constB48)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32232, 32228])).
% 39.78/26.19 tff(32234,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB48) | (~v163(constB48)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB48) | (~v163(constB48)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32235,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB48) | (~v163(constB48)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32236,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB48) | (~v163(constB48))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 39.78/26.19 tff(32237,plain,
% 39.78/26.19 (~v163(constB48)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32236, 17342, 32233])).
% 39.78/26.19 tff(32238,plain,
% 39.78/26.19 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB48)) | (~v141(constB48)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB48)) | (~v141(constB48)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32239,plain,
% 39.78/26.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB48)) | (~v141(constB48)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32240,plain,
% 39.78/26.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB48)) | (~v141(constB48))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32239, 32238])).
% 39.78/26.19 tff(32241,plain,
% 39.78/26.19 (~v141(constB48)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32240, 17066, 5912])).
% 39.78/26.19 tff(32242,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB48) | (~v155(constB48)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB48) | (~v155(constB48)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32243,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB48) | (~v155(constB48)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32244,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB48) | (~v155(constB48))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32243, 32242])).
% 39.78/26.19 tff(32245,plain,
% 39.78/26.19 (~v155(constB48)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32244, 17212, 32241])).
% 39.78/26.19 tff(32246,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB48) | (~v164(constB48)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB48) | (~v164(constB48)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32247,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB48) | (~v164(constB48)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32248,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB48) | (~v164(constB48))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32247, 32246])).
% 39.78/26.19 tff(32249,plain,
% 39.78/26.19 (~v164(constB48)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32248, 17361, 32245])).
% 39.78/26.19 tff(32250,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB48)) | v164(constB48) | v163(constB48))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB48)) | v164(constB48) | v163(constB48))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32251,plain,
% 39.78/26.19 ((v164(constB48) | v163(constB48) | (~v160(constB48))) <=> ((~v160(constB48)) | v164(constB48) | v163(constB48))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32252,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB48) | v163(constB48) | (~v160(constB48)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB48)) | v164(constB48) | v163(constB48)))),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32251])).
% 39.78/26.19 tff(32253,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB48) | v163(constB48) | (~v160(constB48)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB48)) | v164(constB48) | v163(constB48))),
% 39.78/26.19 inference(transitivity,[status(thm)],[32252, 32250])).
% 39.78/26.19 tff(32254,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB48) | v163(constB48) | (~v160(constB48)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32255,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB48)) | v164(constB48) | v163(constB48)),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32254, 32253])).
% 39.78/26.19 tff(32256,plain,
% 39.78/26.19 ((~v160(constB48)) | v163(constB48)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32255, 17312, 32249])).
% 39.78/26.19 tff(32257,plain,
% 39.78/26.19 (~v160(constB48)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32256, 32237])).
% 39.78/26.19 tff(32258,plain,
% 39.78/26.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32259,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32260,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32259, 32258])).
% 39.78/26.19 tff(32261,plain,
% 39.78/26.19 (v160(constB48) | (~v162(constB49))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32260, 17330, 5957])).
% 39.78/26.19 tff(32262,plain,
% 39.78/26.19 (~v162(constB49)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32261, 32257])).
% 39.78/26.19 tff(32263,plain,
% 39.78/26.19 ($false),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32262, 32055])).
% 39.78/26.19 tff(32264,plain,(~(constB49 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.19 tff(32265,assumption,(constB98 = sK0_VarCurr), introduced(assumption)).
% 39.78/26.19 tff(32266,plain,
% 39.78/26.19 (v1(constB98) <=> v1(sK0_VarCurr)),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32265])).
% 39.78/26.19 tff(32267,plain,
% 39.78/26.19 (v1(sK0_VarCurr) <=> v1(constB98)),
% 39.78/26.19 inference(symmetry,[status(thm)],[32266])).
% 39.78/26.19 tff(32268,plain,
% 39.78/26.19 ((~v1(sK0_VarCurr)) <=> (~v1(constB98))),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32267])).
% 39.78/26.19 tff(32269,plain,
% 39.78/26.19 (~v1(constB98)),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[23858, 32268])).
% 39.78/26.19 tff(32270,plain,
% 39.78/26.19 ($false),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[11765, 32269])).
% 39.78/26.19 tff(32271,plain,(~(constB98 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.19 tff(32272,assumption,(constB78 = sK0_VarCurr), introduced(assumption)).
% 39.78/26.19 tff(32273,plain,
% 39.78/26.19 (v1(constB78) <=> v1(sK0_VarCurr)),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32272])).
% 39.78/26.19 tff(32274,plain,
% 39.78/26.19 (v1(sK0_VarCurr) <=> v1(constB78)),
% 39.78/26.19 inference(symmetry,[status(thm)],[32273])).
% 39.78/26.19 tff(32275,plain,
% 39.78/26.19 ((~v1(sK0_VarCurr)) <=> (~v1(constB78))),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32274])).
% 39.78/26.19 tff(32276,plain,
% 39.78/26.19 (~v1(constB78)),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[23858, 32275])).
% 39.78/26.19 tff(32277,plain,
% 39.78/26.19 ($false),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[9413, 32276])).
% 39.78/26.19 tff(32278,plain,(~(constB78 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.19 tff(32279,assumption,(constB144 = sK0_VarCurr), introduced(assumption)).
% 39.78/26.19 tff(32280,plain,
% 39.78/26.19 (v1(constB144) <=> v1(sK0_VarCurr)),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32279])).
% 39.78/26.19 tff(32281,plain,
% 39.78/26.19 (v1(sK0_VarCurr) <=> v1(constB144)),
% 39.78/26.19 inference(symmetry,[status(thm)],[32280])).
% 39.78/26.19 tff(32282,plain,
% 39.78/26.19 ((~v1(sK0_VarCurr)) <=> (~v1(constB144))),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32281])).
% 39.78/26.19 tff(32283,plain,
% 39.78/26.19 (~v1(constB144)),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[23858, 32282])).
% 39.78/26.19 tff(32284,plain,
% 39.78/26.19 ($false),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[16529, 32283])).
% 39.78/26.19 tff(32285,plain,(~(constB144 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.19 tff(32286,assumption,(constB181 = sK0_VarCurr), introduced(assumption)).
% 39.78/26.19 tff(32287,plain,
% 39.78/26.19 (v162(constB181) <=> v162(sK0_VarCurr)),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32286])).
% 39.78/26.19 tff(32288,plain,
% 39.78/26.19 (v162(sK0_VarCurr) <=> v162(constB181)),
% 39.78/26.19 inference(symmetry,[status(thm)],[32287])).
% 39.78/26.19 tff(32289,plain,
% 39.78/26.19 (v162(constB181)),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[17398, 32288])).
% 39.78/26.19 tff(32290,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB175) | (~v144(constB175)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB175) | (~v144(constB175)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32291,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB175) | (~v144(constB175)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32292,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB175) | (~v144(constB175))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32291, 32290])).
% 39.78/26.19 tff(32293,plain,
% 39.78/26.19 (~v144(constB175)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32292, 17003, 20842])).
% 39.78/26.19 tff(32294,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB175) | (~v142(constB175)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB175) | (~v142(constB175)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32295,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB175) | (~v142(constB175)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32296,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB175) | (~v142(constB175))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32295, 32294])).
% 39.78/26.19 tff(32297,plain,
% 39.78/26.19 (~v142(constB175)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32296, 17014, 32293])).
% 39.78/26.19 tff(32298,plain,
% 39.78/26.19 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB175)) | (~v140(constB175)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB175)) | (~v140(constB175)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32299,plain,
% 39.78/26.19 (((~v140(constB175)) | (~v138(constB175))) <=> ((~v138(constB175)) | (~v140(constB175)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32300,plain,
% 39.78/26.19 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB175)) | (~v138(constB175)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB175)) | (~v140(constB175))))),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32299])).
% 39.78/26.19 tff(32301,plain,
% 39.78/26.19 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB175)) | (~v138(constB175)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB175)) | (~v140(constB175)))),
% 39.78/26.19 inference(transitivity,[status(thm)],[32300, 32298])).
% 39.78/26.19 tff(32302,plain,
% 39.78/26.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB175)) | (~v138(constB175)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32303,plain,
% 39.78/26.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB175)) | (~v140(constB175))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32302, 32301])).
% 39.78/26.19 tff(32304,plain,
% 39.78/26.19 (~v138(constB175)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32303, 108, 22953])).
% 39.78/26.19 tff(32305,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB175) | v142(constB175) | (~v135(constB175)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB175) | v142(constB175) | (~v135(constB175)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32306,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB175) | v142(constB175) | (~v135(constB175)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32307,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB175) | v142(constB175) | (~v135(constB175))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32306, 32305])).
% 39.78/26.19 tff(32308,plain,
% 39.78/26.19 (v142(constB175) | (~v135(constB175))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32307, 17028, 32304])).
% 39.78/26.19 tff(32309,plain,
% 39.78/26.19 (~v135(constB175)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32308, 32297])).
% 39.78/26.19 tff(32310,plain,
% 39.78/26.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB175, constB176)) | v135(constB175) | (~v137(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB175, constB176)) | v135(constB175) | (~v137(constB176)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32311,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB175, constB176)) | v135(constB175) | (~v137(constB176)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32312,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB175, constB176)) | v135(constB175) | (~v137(constB176))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32311, 32310])).
% 39.78/26.19 tff(32313,plain,
% 39.78/26.19 (v135(constB175) | (~v137(constB176))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32312, 17043, 20864])).
% 39.78/26.19 tff(32314,plain,
% 39.78/26.19 (~v137(constB176)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32313, 32309])).
% 39.78/26.19 tff(32315,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB176) | (~v138(constB176)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB176) | (~v138(constB176)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32316,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB176) | (~v138(constB176)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32317,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB176) | (~v138(constB176))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32316, 32315])).
% 39.78/26.19 tff(32318,plain,
% 39.78/26.19 (~v138(constB176)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32317, 17055, 32314])).
% 39.78/26.19 tff(32319,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB176) | (~v144(constB176)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB176) | (~v144(constB176)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32320,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB176) | (~v144(constB176)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32321,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB176) | (~v144(constB176))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 39.78/26.19 tff(32322,plain,
% 39.78/26.19 (~v144(constB176)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32321, 17077, 22978])).
% 39.78/26.19 tff(32323,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB176) | (~v142(constB176)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB176) | (~v142(constB176)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32324,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB176) | (~v142(constB176)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32325,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB176) | (~v142(constB176))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32324, 32323])).
% 39.78/26.19 tff(32326,plain,
% 39.78/26.19 (~v142(constB176)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32325, 17014, 32322])).
% 39.78/26.19 tff(32327,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB176) | v142(constB176) | (~v135(constB176)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB176) | v142(constB176) | (~v135(constB176)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32328,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB176) | v142(constB176) | (~v135(constB176)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32329,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB176) | v142(constB176) | (~v135(constB176))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32328, 32327])).
% 39.78/26.19 tff(32330,plain,
% 39.78/26.19 (v138(constB176) | (~v135(constB176))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32329, 17028, 32326])).
% 39.78/26.19 tff(32331,plain,
% 39.78/26.19 (~v135(constB176)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32330, 32318])).
% 39.78/26.19 tff(32332,plain,
% 39.78/26.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB176, constB177)) | v135(constB176) | (~v137(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB176, constB177)) | v135(constB176) | (~v137(constB177)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32333,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB176, constB177)) | v135(constB176) | (~v137(constB177)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32334,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB176, constB177)) | v135(constB176) | (~v137(constB177))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32333, 32332])).
% 39.78/26.19 tff(32335,plain,
% 39.78/26.19 (v135(constB176) | (~v137(constB177))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32334, 17043, 21036])).
% 39.78/26.19 tff(32336,plain,
% 39.78/26.19 (~v137(constB177)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32335, 32331])).
% 39.78/26.19 tff(32337,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB177) | (~v154(constB177)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB177) | (~v154(constB177)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32338,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB177) | (~v154(constB177)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32339,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB177) | (~v154(constB177))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32338, 32337])).
% 39.78/26.19 tff(32340,plain,
% 39.78/26.19 (~v154(constB177)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32339, 17105, 32336])).
% 39.78/26.19 tff(32341,plain,
% 39.78/26.19 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB177)) | (~v153(constB177)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB177)) | (~v153(constB177)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32342,plain,
% 39.78/26.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB177)) | (~v153(constB177)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32343,plain,
% 39.78/26.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB177)) | (~v153(constB177))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32342, 32341])).
% 39.78/26.19 tff(32344,plain,
% 39.78/26.19 (~v153(constB177)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32343, 17156, 30510])).
% 39.78/26.19 tff(32345,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB177) | v154(constB177) | (~v150(constB177)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB177) | v154(constB177) | (~v150(constB177)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32346,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB177) | v154(constB177) | (~v150(constB177)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32347,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB177) | v154(constB177) | (~v150(constB177))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32346, 32345])).
% 39.78/26.19 tff(32348,plain,
% 39.78/26.19 (v154(constB177) | (~v150(constB177))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32347, 17170, 32344])).
% 39.78/26.19 tff(32349,plain,
% 39.78/26.19 (~v150(constB177)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32348, 32340])).
% 39.78/26.19 tff(32350,plain,
% 39.78/26.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB177, constB178)) | v150(constB177) | (~v152(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB177, constB178)) | v150(constB177) | (~v152(constB178)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32351,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB177, constB178)) | v150(constB177) | (~v152(constB178)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32352,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB177, constB178)) | v150(constB177) | (~v152(constB178))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32351, 32350])).
% 39.78/26.19 tff(32353,plain,
% 39.78/26.19 (v150(constB177) | (~v152(constB178))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32352, 17185, 21124])).
% 39.78/26.19 tff(32354,plain,
% 39.78/26.19 (~v152(constB178)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32353, 32349])).
% 39.78/26.19 tff(32355,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB178) | (~v153(constB178)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB178) | (~v153(constB178)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32356,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB178) | (~v153(constB178)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32357,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB178) | (~v153(constB178))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32356, 32355])).
% 39.78/26.19 tff(32358,plain,
% 39.78/26.19 (~v153(constB178)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32357, 17197, 32354])).
% 39.78/26.19 tff(32359,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB178) | (~v154(constB178)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB178) | (~v154(constB178)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32360,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB178) | (~v154(constB178)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32361,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB178) | (~v154(constB178))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32360, 32359])).
% 39.78/26.19 tff(32362,plain,
% 39.78/26.19 (~v154(constB178)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32361, 17223, 30539])).
% 39.78/26.19 tff(32363,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB178) | v154(constB178) | (~v150(constB178)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB178) | v154(constB178) | (~v150(constB178)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32364,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB178) | v154(constB178) | (~v150(constB178)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32365,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB178) | v154(constB178) | (~v150(constB178))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32364, 32363])).
% 39.78/26.19 tff(32366,plain,
% 39.78/26.19 (v153(constB178) | (~v150(constB178))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32365, 17170, 32362])).
% 39.78/26.19 tff(32367,plain,
% 39.78/26.19 (~v150(constB178)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32366, 32358])).
% 39.78/26.19 tff(32368,plain,
% 39.78/26.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB178, constB179)) | v150(constB178) | (~v152(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB178, constB179)) | v150(constB178) | (~v152(constB179)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32369,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB178, constB179)) | v150(constB178) | (~v152(constB179)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32370,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB178, constB179)) | v150(constB178) | (~v152(constB179))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32369, 32368])).
% 39.78/26.19 tff(32371,plain,
% 39.78/26.19 (v150(constB178) | (~v152(constB179))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32370, 17185, 21247])).
% 39.78/26.19 tff(32372,plain,
% 39.78/26.19 (~v152(constB179)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32371, 32367])).
% 39.78/26.19 tff(32373,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB179) | (~v164(constB179)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB179) | (~v164(constB179)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32374,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB179) | (~v164(constB179)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32375,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB179) | (~v164(constB179))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32374, 32373])).
% 39.78/26.19 tff(32376,plain,
% 39.78/26.19 (~v164(constB179)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32375, 17247, 32372])).
% 39.78/26.19 tff(32377,plain,
% 39.78/26.19 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB179)) | (~v163(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB179)) | (~v163(constB179)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32378,plain,
% 39.78/26.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB179)) | (~v163(constB179)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32379,plain,
% 39.78/26.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB179)) | (~v163(constB179))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32378, 32377])).
% 39.78/26.19 tff(32380,plain,
% 39.78/26.19 (~v163(constB179)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32379, 17298, 31353])).
% 39.78/26.19 tff(32381,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB179)) | v163(constB179) | v164(constB179))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB179)) | v163(constB179) | v164(constB179))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32382,plain,
% 39.78/26.19 ((v164(constB179) | v163(constB179) | (~v160(constB179))) <=> ((~v160(constB179)) | v163(constB179) | v164(constB179))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32383,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB179) | v163(constB179) | (~v160(constB179)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB179)) | v163(constB179) | v164(constB179)))),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32382])).
% 39.78/26.19 tff(32384,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB179) | v163(constB179) | (~v160(constB179)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB179)) | v163(constB179) | v164(constB179))),
% 39.78/26.19 inference(transitivity,[status(thm)],[32383, 32381])).
% 39.78/26.19 tff(32385,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB179) | v163(constB179) | (~v160(constB179)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32386,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB179)) | v163(constB179) | v164(constB179)),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32385, 32384])).
% 39.78/26.19 tff(32387,plain,
% 39.78/26.19 ((~v160(constB179)) | v164(constB179)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32386, 17312, 32380])).
% 39.78/26.19 tff(32388,plain,
% 39.78/26.19 (~v160(constB179)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32387, 32376])).
% 39.78/26.19 tff(32389,plain,
% 39.78/26.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB179, constB180)) | v160(constB179) | (~v162(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB179, constB180)) | v160(constB179) | (~v162(constB180)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32390,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB179, constB180)) | v160(constB179) | (~v162(constB180)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32391,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB179, constB180)) | v160(constB179) | (~v162(constB180))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32390, 32389])).
% 39.78/26.19 tff(32392,plain,
% 39.78/26.19 (v160(constB179) | (~v162(constB180))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32391, 17330, 21352])).
% 39.78/26.19 tff(32393,plain,
% 39.78/26.19 (~v162(constB180)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32392, 32388])).
% 39.78/26.19 tff(32394,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB180) | (~v163(constB180)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB180) | (~v163(constB180)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32395,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB180) | (~v163(constB180)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32396,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB180) | (~v163(constB180))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32395, 32394])).
% 39.78/26.19 tff(32397,plain,
% 39.78/26.19 (~v163(constB180)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32396, 17342, 32393])).
% 39.78/26.19 tff(32398,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB180) | (~v155(constB180)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB180) | (~v155(constB180)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32399,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB180) | (~v155(constB180)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32400,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB180) | (~v155(constB180))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32399, 32398])).
% 39.78/26.19 tff(32401,plain,
% 39.78/26.19 (~v155(constB180)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32400, 17212, 31378])).
% 39.78/26.19 tff(32402,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB180) | (~v164(constB180)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB180) | (~v164(constB180)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32403,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB180) | (~v164(constB180)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32404,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB180) | (~v164(constB180))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32403, 32402])).
% 39.78/26.19 tff(32405,plain,
% 39.78/26.19 (~v164(constB180)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32404, 17361, 32401])).
% 39.78/26.19 tff(32406,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB180)) | v164(constB180) | v163(constB180))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB180)) | v164(constB180) | v163(constB180))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32407,plain,
% 39.78/26.19 ((v164(constB180) | v163(constB180) | (~v160(constB180))) <=> ((~v160(constB180)) | v164(constB180) | v163(constB180))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32408,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB180) | v163(constB180) | (~v160(constB180)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB180)) | v164(constB180) | v163(constB180)))),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32407])).
% 39.78/26.19 tff(32409,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB180) | v163(constB180) | (~v160(constB180)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB180)) | v164(constB180) | v163(constB180))),
% 39.78/26.19 inference(transitivity,[status(thm)],[32408, 32406])).
% 39.78/26.19 tff(32410,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB180) | v163(constB180) | (~v160(constB180)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32411,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB180)) | v164(constB180) | v163(constB180)),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32410, 32409])).
% 39.78/26.19 tff(32412,plain,
% 39.78/26.19 ((~v160(constB180)) | v163(constB180)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32411, 17312, 32405])).
% 39.78/26.19 tff(32413,plain,
% 39.78/26.19 (~v160(constB180)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32412, 32397])).
% 39.78/26.19 tff(32414,plain,
% 39.78/26.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB180, constB181)) | v160(constB180) | (~v162(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB180, constB181)) | v160(constB180) | (~v162(constB181)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32415,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB180, constB181)) | v160(constB180) | (~v162(constB181)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32416,plain,
% 39.78/26.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB180, constB181)) | v160(constB180) | (~v162(constB181))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32415, 32414])).
% 39.78/26.19 tff(32417,plain,
% 39.78/26.19 (v160(constB180) | (~v162(constB181))),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32416, 17330, 21417])).
% 39.78/26.19 tff(32418,plain,
% 39.78/26.19 (~v162(constB181)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32417, 32413])).
% 39.78/26.19 tff(32419,plain,
% 39.78/26.19 ($false),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32418, 32289])).
% 39.78/26.19 tff(32420,plain,(~(constB181 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.19 tff(32421,assumption,(constB151 = sK0_VarCurr), introduced(assumption)).
% 39.78/26.19 tff(32422,plain,
% 39.78/26.19 (v162(constB151) <=> v162(sK0_VarCurr)),
% 39.78/26.19 inference(monotonicity,[status(thm)],[32421])).
% 39.78/26.19 tff(32423,plain,
% 39.78/26.19 (v162(sK0_VarCurr) <=> v162(constB151)),
% 39.78/26.19 inference(symmetry,[status(thm)],[32422])).
% 39.78/26.19 tff(32424,plain,
% 39.78/26.19 (v162(constB151)),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[17398, 32423])).
% 39.78/26.19 tff(32425,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB145) | (~v144(constB145)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32426,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB145) | (~v144(constB145)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.19 tff(32427,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB145) | (~v144(constB145))),
% 39.78/26.19 inference(modus_ponens,[status(thm)],[32426, 32425])).
% 39.78/26.19 tff(32428,plain,
% 39.78/26.19 (~v144(constB145)),
% 39.78/26.19 inference(unit_resolution,[status(thm)],[32427, 17003, 16738])).
% 39.78/26.19 tff(32429,plain,
% 39.78/26.19 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB145) | (~v142(constB145)))),
% 39.78/26.19 inference(rewrite,[status(thm)],[])).
% 39.78/26.19 tff(32430,plain,
% 39.78/26.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB145) | (~v142(constB145)))),
% 39.78/26.19 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32431,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB145) | (~v142(constB145))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 39.78/26.20 tff(32432,plain,
% 39.78/26.20 (~v142(constB145)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32431, 17014, 32428])).
% 39.78/26.20 tff(32433,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB145) | (~v138(constB145)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB145) | (~v138(constB145)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32434,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB145) | (~v138(constB145)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32435,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB145) | (~v138(constB145))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32434, 32433])).
% 39.78/26.20 tff(32436,plain,
% 39.78/26.20 (~v138(constB145)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32435, 17055, 30008])).
% 39.78/26.20 tff(32437,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB145) | v142(constB145) | (~v135(constB145)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB145) | v142(constB145) | (~v135(constB145)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32438,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB145) | v142(constB145) | (~v135(constB145)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32439,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB145) | v142(constB145) | (~v135(constB145))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32438, 32437])).
% 39.78/26.20 tff(32440,plain,
% 39.78/26.20 (v142(constB145) | (~v135(constB145))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32439, 17028, 32436])).
% 39.78/26.20 tff(32441,plain,
% 39.78/26.20 (~v135(constB145)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32440, 32432])).
% 39.78/26.20 tff(32442,plain,
% 39.78/26.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32443,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32444,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32443, 32442])).
% 39.78/26.20 tff(32445,plain,
% 39.78/26.20 (v135(constB145) | (~v137(constB146))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32444, 17043, 16684])).
% 39.78/26.20 tff(32446,plain,
% 39.78/26.20 (~v137(constB146)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32445, 32441])).
% 39.78/26.20 tff(32447,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB146) | (~v138(constB146)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB146) | (~v138(constB146)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32448,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB146) | (~v138(constB146)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32449,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB146) | (~v138(constB146))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32448, 32447])).
% 39.78/26.20 tff(32450,plain,
% 39.78/26.20 (~v138(constB146)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32449, 17055, 32446])).
% 39.78/26.20 tff(32451,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB146) | (~v144(constB146)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB146) | (~v144(constB146)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32452,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB146) | (~v144(constB146)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32453,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB146) | (~v144(constB146))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32452, 32451])).
% 39.78/26.20 tff(32454,plain,
% 39.78/26.20 (~v144(constB146)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32453, 17077, 25412])).
% 39.78/26.20 tff(32455,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB146) | (~v142(constB146)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB146) | (~v142(constB146)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32456,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB146) | (~v142(constB146)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32457,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB146) | (~v142(constB146))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32456, 32455])).
% 39.78/26.20 tff(32458,plain,
% 39.78/26.20 (~v142(constB146)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32457, 17014, 32454])).
% 39.78/26.20 tff(32459,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB146) | v142(constB146) | (~v135(constB146)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB146) | v142(constB146) | (~v135(constB146)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32460,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB146) | v142(constB146) | (~v135(constB146)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32461,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB146) | v142(constB146) | (~v135(constB146))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32460, 32459])).
% 39.78/26.20 tff(32462,plain,
% 39.78/26.20 (v138(constB146) | (~v135(constB146))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32461, 17028, 32458])).
% 39.78/26.20 tff(32463,plain,
% 39.78/26.20 (~v135(constB146)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32462, 32450])).
% 39.78/26.20 tff(32464,plain,
% 39.78/26.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32465,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32466,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32465, 32464])).
% 39.78/26.20 tff(32467,plain,
% 39.78/26.20 (v135(constB146) | (~v137(constB147))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32466, 17043, 16776])).
% 39.78/26.20 tff(32468,plain,
% 39.78/26.20 (~v137(constB147)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32467, 32463])).
% 39.78/26.20 tff(32469,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB147) | (~v154(constB147)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB147) | (~v154(constB147)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32470,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB147) | (~v154(constB147)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32471,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB147) | (~v154(constB147))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32470, 32469])).
% 39.78/26.20 tff(32472,plain,
% 39.78/26.20 (~v154(constB147)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32471, 17105, 32468])).
% 39.78/26.20 tff(32473,plain,
% 39.78/26.20 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB147)) | (~v153(constB147)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB147)) | (~v153(constB147)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32474,plain,
% 39.78/26.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB147)) | (~v153(constB147)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32475,plain,
% 39.78/26.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB147)) | (~v153(constB147))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32474, 32473])).
% 39.78/26.20 tff(32476,plain,
% 39.78/26.20 (~v153(constB147)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32475, 17156, 30079])).
% 39.78/26.20 tff(32477,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB147) | v154(constB147) | (~v150(constB147)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB147) | v154(constB147) | (~v150(constB147)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32478,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB147) | v154(constB147) | (~v150(constB147)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32479,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB147) | v154(constB147) | (~v150(constB147))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32478, 32477])).
% 39.78/26.20 tff(32480,plain,
% 39.78/26.20 (v154(constB147) | (~v150(constB147))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32479, 17170, 32476])).
% 39.78/26.20 tff(32481,plain,
% 39.78/26.20 (~v150(constB147)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32480, 32472])).
% 39.78/26.20 tff(32482,plain,
% 39.78/26.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32483,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32484,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32483, 32482])).
% 39.78/26.20 tff(32485,plain,
% 39.78/26.20 (v150(constB147) | (~v152(constB148))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32484, 17185, 16912])).
% 39.78/26.20 tff(32486,plain,
% 39.78/26.20 (~v152(constB148)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32485, 32481])).
% 39.78/26.20 tff(32487,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB148) | (~v153(constB148)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB148) | (~v153(constB148)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32488,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB148) | (~v153(constB148)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32489,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB148) | (~v153(constB148))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32488, 32487])).
% 39.78/26.20 tff(32490,plain,
% 39.78/26.20 (~v153(constB148)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32489, 17197, 32486])).
% 39.78/26.20 tff(32491,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB148) | (~v154(constB148)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB148) | (~v154(constB148)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32492,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB148) | (~v154(constB148)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32493,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB148) | (~v154(constB148))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32492, 32491])).
% 39.78/26.20 tff(32494,plain,
% 39.78/26.20 (~v154(constB148)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32493, 17223, 30108])).
% 39.78/26.20 tff(32495,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB148) | v154(constB148) | (~v150(constB148)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB148) | v154(constB148) | (~v150(constB148)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32496,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB148) | v154(constB148) | (~v150(constB148)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32497,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB148) | v154(constB148) | (~v150(constB148))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32496, 32495])).
% 39.78/26.20 tff(32498,plain,
% 39.78/26.20 (v153(constB148) | (~v150(constB148))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32497, 17170, 32494])).
% 39.78/26.20 tff(32499,plain,
% 39.78/26.20 (~v150(constB148)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32498, 32490])).
% 39.78/26.20 tff(32500,plain,
% 39.78/26.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32501,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32502,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32501, 32500])).
% 39.78/26.20 tff(32503,plain,
% 39.78/26.20 (v150(constB148) | (~v152(constB149))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32502, 17185, 16971])).
% 39.78/26.20 tff(32504,plain,
% 39.78/26.20 (~v152(constB149)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32503, 32499])).
% 39.78/26.20 tff(32505,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB149) | (~v164(constB149)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB149) | (~v164(constB149)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32506,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB149) | (~v164(constB149)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32507,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB149) | (~v164(constB149))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32506, 32505])).
% 39.78/26.20 tff(32508,plain,
% 39.78/26.20 (~v164(constB149)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32507, 17247, 32504])).
% 39.78/26.20 tff(32509,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB149) | (~v163(constB149)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB149) | (~v163(constB149)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32510,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB149) | (~v163(constB149)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32511,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB149) | (~v163(constB149))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32510, 32509])).
% 39.78/26.20 tff(32512,plain,
% 39.78/26.20 (~v163(constB149)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32511, 17342, 30125])).
% 39.78/26.20 tff(32513,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB149)) | v163(constB149) | v164(constB149))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB149)) | v163(constB149) | v164(constB149))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32514,plain,
% 39.78/26.20 ((v164(constB149) | v163(constB149) | (~v160(constB149))) <=> ((~v160(constB149)) | v163(constB149) | v164(constB149))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32515,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB149) | v163(constB149) | (~v160(constB149)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB149)) | v163(constB149) | v164(constB149)))),
% 39.78/26.20 inference(monotonicity,[status(thm)],[32514])).
% 39.78/26.20 tff(32516,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB149) | v163(constB149) | (~v160(constB149)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB149)) | v163(constB149) | v164(constB149))),
% 39.78/26.20 inference(transitivity,[status(thm)],[32515, 32513])).
% 39.78/26.20 tff(32517,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB149) | v163(constB149) | (~v160(constB149)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32518,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB149)) | v163(constB149) | v164(constB149)),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32517, 32516])).
% 39.78/26.20 tff(32519,plain,
% 39.78/26.20 ((~v160(constB149)) | v164(constB149)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32518, 17312, 32512])).
% 39.78/26.20 tff(32520,plain,
% 39.78/26.20 (~v160(constB149)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32519, 32508])).
% 39.78/26.20 tff(32521,plain,
% 39.78/26.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32522,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32523,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32522, 32521])).
% 39.78/26.20 tff(32524,plain,
% 39.78/26.20 (v160(constB149) | (~v162(constB150))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32523, 17330, 57])).
% 39.78/26.20 tff(32525,plain,
% 39.78/26.20 (~v162(constB150)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32524, 32520])).
% 39.78/26.20 tff(32526,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB150) | (~v163(constB150)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB150) | (~v163(constB150)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32527,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB150) | (~v163(constB150)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32528,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB150) | (~v163(constB150))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32527, 32526])).
% 39.78/26.20 tff(32529,plain,
% 39.78/26.20 (~v163(constB150)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32528, 17342, 32525])).
% 39.78/26.20 tff(32530,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB150) | (~v155(constB150)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB150) | (~v155(constB150)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32531,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB150) | (~v155(constB150)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32532,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB150) | (~v155(constB150))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32531, 32530])).
% 39.78/26.20 tff(32533,plain,
% 39.78/26.20 (~v155(constB150)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32532, 17212, 17070])).
% 39.78/26.20 tff(32534,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB150) | (~v164(constB150)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB150) | (~v164(constB150)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32535,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB150) | (~v164(constB150)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32536,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB150) | (~v164(constB150))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32535, 32534])).
% 39.78/26.20 tff(32537,plain,
% 39.78/26.20 (~v164(constB150)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32536, 17361, 32533])).
% 39.78/26.20 tff(32538,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB150)) | v164(constB150) | v163(constB150))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB150)) | v164(constB150) | v163(constB150))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32539,plain,
% 39.78/26.20 ((v164(constB150) | v163(constB150) | (~v160(constB150))) <=> ((~v160(constB150)) | v164(constB150) | v163(constB150))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32540,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB150) | v163(constB150) | (~v160(constB150)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB150)) | v164(constB150) | v163(constB150)))),
% 39.78/26.20 inference(monotonicity,[status(thm)],[32539])).
% 39.78/26.20 tff(32541,plain,
% 39.78/26.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB150) | v163(constB150) | (~v160(constB150)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB150)) | v164(constB150) | v163(constB150))),
% 39.78/26.20 inference(transitivity,[status(thm)],[32540, 32538])).
% 39.78/26.20 tff(32542,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB150) | v163(constB150) | (~v160(constB150)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32543,plain,
% 39.78/26.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB150)) | v164(constB150) | v163(constB150)),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32542, 32541])).
% 39.78/26.20 tff(32544,plain,
% 39.78/26.20 ((~v160(constB150)) | v163(constB150)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32543, 17312, 32537])).
% 39.78/26.20 tff(32545,plain,
% 39.78/26.20 (~v160(constB150)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32544, 32529])).
% 39.78/26.20 tff(32546,plain,
% 39.78/26.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))),
% 39.78/26.20 inference(rewrite,[status(thm)],[])).
% 39.78/26.20 tff(32547,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))),
% 39.78/26.20 inference(quant_inst,[status(thm)],[])).
% 39.78/26.20 tff(32548,plain,
% 39.78/26.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151))),
% 39.78/26.20 inference(modus_ponens,[status(thm)],[32547, 32546])).
% 39.78/26.20 tff(32549,plain,
% 39.78/26.20 (v160(constB150) | (~v162(constB151))),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32548, 17330, 17093])).
% 39.78/26.20 tff(32550,plain,
% 39.78/26.20 (~v162(constB151)),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32549, 32545])).
% 39.78/26.20 tff(32551,plain,
% 39.78/26.20 ($false),
% 39.78/26.20 inference(unit_resolution,[status(thm)],[32550, 32424])).
% 39.78/26.20 tff(32552,plain,(~(constB151 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.20 tff(32553,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 39.78/26.20 tff(32554,plain,
% 39.78/26.20 (v1(constB46) <=> v1(sK0_VarCurr)),
% 39.78/26.21 inference(monotonicity,[status(thm)],[32553])).
% 39.78/26.21 tff(32555,plain,
% 39.78/26.21 (v1(sK0_VarCurr) <=> v1(constB46)),
% 39.78/26.21 inference(symmetry,[status(thm)],[32554])).
% 39.78/26.21 tff(32556,plain,
% 39.78/26.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 39.78/26.21 inference(monotonicity,[status(thm)],[32555])).
% 39.78/26.21 tff(32557,plain,
% 39.78/26.21 (~v1(constB46)),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[23858, 32556])).
% 39.78/26.21 tff(32558,plain,
% 39.78/26.21 ($false),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[5658, 32557])).
% 39.78/26.21 tff(32559,plain,(~(constB46 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.21 tff(32560,assumption,(constB48 = sK0_VarCurr), introduced(assumption)).
% 39.78/26.21 tff(32561,plain,
% 39.78/26.21 (v1(constB48) <=> v1(sK0_VarCurr)),
% 39.78/26.21 inference(monotonicity,[status(thm)],[32560])).
% 39.78/26.21 tff(32562,plain,
% 39.78/26.21 (v1(sK0_VarCurr) <=> v1(constB48)),
% 39.78/26.21 inference(symmetry,[status(thm)],[32561])).
% 39.78/26.21 tff(32563,plain,
% 39.78/26.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB48))),
% 39.78/26.21 inference(monotonicity,[status(thm)],[32562])).
% 39.78/26.21 tff(32564,plain,
% 39.78/26.21 (~v1(constB48)),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[23858, 32563])).
% 39.78/26.21 tff(32565,plain,
% 39.78/26.21 ($false),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[5912, 32564])).
% 39.78/26.21 tff(32566,plain,(~(constB48 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.21 tff(32567,assumption,(constB119 = sK0_VarCurr), introduced(assumption)).
% 39.78/26.21 tff(32568,plain,
% 39.78/26.21 (v162(constB119) <=> v162(sK0_VarCurr)),
% 39.78/26.21 inference(monotonicity,[status(thm)],[32567])).
% 39.78/26.21 tff(32569,plain,
% 39.78/26.21 (v162(sK0_VarCurr) <=> v162(constB119)),
% 39.78/26.21 inference(symmetry,[status(thm)],[32568])).
% 39.78/26.21 tff(32570,plain,
% 39.78/26.21 (v162(constB119)),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[17398, 32569])).
% 39.78/26.21 tff(32571,plain,
% 39.78/26.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB113, bitIndex2)) | (~v145(constB113)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32572,plain,
% 39.78/26.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v145(constB113)))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32573,plain,
% 39.78/26.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB113, bitIndex2)) | (~v145(constB113))),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32572, 32571])).
% 39.78/26.21 tff(32574,plain,
% 39.78/26.21 (~v145(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32573, 5709, 13379])).
% 39.78/26.21 tff(32575,plain,
% 39.78/26.21 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB113) | (~v144(constB113)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB113) | (~v144(constB113)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32576,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB113) | (~v144(constB113)))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32577,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB113) | (~v144(constB113))),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32576, 32575])).
% 39.78/26.21 tff(32578,plain,
% 39.78/26.21 (~v144(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32577, 17003, 32574])).
% 39.78/26.21 tff(32579,plain,
% 39.78/26.21 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB113) | (~v142(constB113)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32580,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB113) | (~v142(constB113)))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32581,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB113) | (~v142(constB113))),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32580, 32579])).
% 39.78/26.21 tff(32582,plain,
% 39.78/26.21 (~v142(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32581, 17014, 32578])).
% 39.78/26.21 tff(32583,assumption,(v18(constB114)), introduced(assumption)).
% 39.78/26.21 tff(32584,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB114))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32585,plain,
% 39.78/26.21 ($false),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32584, 8, 32583])).
% 39.78/26.21 tff(32586,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 39.78/26.21 tff(32587,plain,
% 39.78/26.21 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32588,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32589,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32588, 32587])).
% 39.78/26.21 tff(32590,plain,
% 39.78/26.21 (v22(constB114)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32589, 21, 13503])).
% 39.78/26.21 tff(32591,plain,
% 39.78/26.21 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB114)) | (~v22(constB114)) | v18(constB114))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB114)) | (~v22(constB114)) | v18(constB114))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32592,plain,
% 39.78/26.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB114)) | (~v22(constB114)) | v18(constB114))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32593,plain,
% 39.78/26.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB114)) | (~v22(constB114)) | v18(constB114)),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32592, 32591])).
% 39.78/26.21 tff(32594,plain,
% 39.78/26.21 ((~v19(constB114)) | v18(constB114)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32593, 35, 32590])).
% 39.78/26.21 tff(32595,plain,
% 39.78/26.21 (~v19(constB114)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32594, 32586])).
% 39.78/26.21 tff(32596,plain,
% 39.78/26.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32597,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32598,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32597, 32596])).
% 39.78/26.21 tff(32599,plain,
% 39.78/26.21 (v13(constB114)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32598, 50, 32595])).
% 39.78/26.21 tff(32600,plain,
% 39.78/26.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32601,plain,
% 39.78/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32602,plain,
% 39.78/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113)),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32601, 32600])).
% 39.78/26.21 tff(32603,plain,
% 39.78/26.21 ((~v13(constB114)) | v9(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32602, 67, 13483])).
% 39.78/26.21 tff(32604,plain,
% 39.78/26.21 (v9(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32603, 32599])).
% 39.78/26.21 tff(32605,plain,
% 39.78/26.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v141(constB113))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB113) | (~v9(constB113)) | v141(constB113))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32606,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v141(constB113))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32607,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB113) | (~v9(constB113)) | v141(constB113)),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32606, 32605])).
% 39.78/26.21 tff(32608,plain,
% 39.78/26.21 ((~v9(constB113)) | v141(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32607, 85, 13355])).
% 39.78/26.21 tff(32609,plain,
% 39.78/26.21 (v141(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32608, 32604])).
% 39.78/26.21 tff(32610,plain,
% 39.78/26.21 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB113) | (~v141(constB113)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB113) | (~v141(constB113)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32611,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB113) | (~v141(constB113)))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32612,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB113) | (~v141(constB113))),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32611, 32610])).
% 39.78/26.21 tff(32613,plain,
% 39.78/26.21 (v140(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32612, 97, 32609])).
% 39.78/26.21 tff(32614,plain,
% 39.78/26.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB113)) | (~v140(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB113)) | (~v140(constB113)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32615,plain,
% 39.78/26.21 (((~v140(constB113)) | (~v138(constB113))) <=> ((~v138(constB113)) | (~v140(constB113)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32616,plain,
% 39.78/26.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB113)) | (~v138(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB113)) | (~v140(constB113))))),
% 39.78/26.21 inference(monotonicity,[status(thm)],[32615])).
% 39.78/26.21 tff(32617,plain,
% 39.78/26.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB113)) | (~v138(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB113)) | (~v140(constB113)))),
% 39.78/26.21 inference(transitivity,[status(thm)],[32616, 32614])).
% 39.78/26.21 tff(32618,plain,
% 39.78/26.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB113)) | (~v138(constB113)))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32619,plain,
% 39.78/26.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB113)) | (~v140(constB113))),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32618, 32617])).
% 39.78/26.21 tff(32620,plain,
% 39.78/26.21 (~v138(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32619, 108, 32613])).
% 39.78/26.21 tff(32621,plain,
% 39.78/26.21 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB113) | v142(constB113) | (~v135(constB113)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB113) | v142(constB113) | (~v135(constB113)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32622,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB113) | v142(constB113) | (~v135(constB113)))),
% 39.78/26.21 inference(quant_inst,[status(thm)],[])).
% 39.78/26.21 tff(32623,plain,
% 39.78/26.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB113) | v142(constB113) | (~v135(constB113))),
% 39.78/26.21 inference(modus_ponens,[status(thm)],[32622, 32621])).
% 39.78/26.21 tff(32624,plain,
% 39.78/26.21 (v142(constB113) | (~v135(constB113))),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32623, 17028, 32620])).
% 39.78/26.21 tff(32625,plain,
% 39.78/26.21 (~v135(constB113)),
% 39.78/26.21 inference(unit_resolution,[status(thm)],[32624, 32582])).
% 39.78/26.21 tff(32626,plain,
% 39.78/26.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB113, constB114)) | v135(constB113) | (~v137(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB113, constB114)) | v135(constB113) | (~v137(constB114)))),
% 39.78/26.21 inference(rewrite,[status(thm)],[])).
% 39.78/26.21 tff(32627,plain,
% 39.78/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB113, constB114)) | v135(constB113) | (~v137(constB114)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32628,plain,
% 39.81/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB113, constB114)) | v135(constB113) | (~v137(constB114))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32627, 32626])).
% 39.81/26.21 tff(32629,plain,
% 39.81/26.21 (v135(constB113) | (~v137(constB114))),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32628, 17043, 13483])).
% 39.81/26.21 tff(32630,plain,
% 39.81/26.21 (~v137(constB114)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32629, 32625])).
% 39.81/26.21 tff(32631,plain,
% 39.81/26.21 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB114) | (~v138(constB114)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB114) | (~v138(constB114)))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32632,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB114) | (~v138(constB114)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32633,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB114) | (~v138(constB114))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32632, 32631])).
% 39.81/26.21 tff(32634,plain,
% 39.81/26.21 (~v138(constB114)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32633, 17055, 32630])).
% 39.81/26.21 tff(32635,plain,
% 39.81/26.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB114)) | (~v141(constB114)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB114)) | (~v141(constB114)))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32636,plain,
% 39.81/26.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB114)) | (~v141(constB114)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32637,plain,
% 39.81/26.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB114)) | (~v141(constB114))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32636, 32635])).
% 39.81/26.21 tff(32638,plain,
% 39.81/26.21 (~v141(constB114)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32637, 17066, 13503])).
% 39.81/26.21 tff(32639,plain,
% 39.81/26.21 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB114) | (~v144(constB114)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB114) | (~v144(constB114)))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32640,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB114) | (~v144(constB114)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32641,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB114) | (~v144(constB114))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32640, 32639])).
% 39.81/26.21 tff(32642,plain,
% 39.81/26.21 (~v144(constB114)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32641, 17077, 32638])).
% 39.81/26.21 tff(32643,plain,
% 39.81/26.21 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB114) | (~v142(constB114)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB114) | (~v142(constB114)))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32644,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB114) | (~v142(constB114)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32645,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB114) | (~v142(constB114))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32644, 32643])).
% 39.81/26.21 tff(32646,plain,
% 39.81/26.21 (~v142(constB114)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32645, 17014, 32642])).
% 39.81/26.21 tff(32647,plain,
% 39.81/26.21 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB114) | v142(constB114) | (~v135(constB114)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB114) | v142(constB114) | (~v135(constB114)))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32648,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB114) | v142(constB114) | (~v135(constB114)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32649,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB114) | v142(constB114) | (~v135(constB114))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32648, 32647])).
% 39.81/26.21 tff(32650,plain,
% 39.81/26.21 (v138(constB114) | (~v135(constB114))),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32649, 17028, 32646])).
% 39.81/26.21 tff(32651,plain,
% 39.81/26.21 (~v135(constB114)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32650, 32634])).
% 39.81/26.21 tff(32652,plain,
% 39.81/26.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB114, constB115)) | v135(constB114) | (~v137(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB114, constB115)) | v135(constB114) | (~v137(constB115)))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32653,plain,
% 39.81/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB114, constB115)) | v135(constB114) | (~v137(constB115)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32654,plain,
% 39.81/26.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB114, constB115)) | v135(constB114) | (~v137(constB115))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32653, 32652])).
% 39.81/26.21 tff(32655,plain,
% 39.81/26.21 (v135(constB114) | (~v137(constB115))),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32654, 17043, 13549])).
% 39.81/26.21 tff(32656,plain,
% 39.81/26.21 (~v137(constB115)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32655, 32651])).
% 39.81/26.21 tff(32657,plain,
% 39.81/26.21 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB115) | (~v154(constB115)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB115) | (~v154(constB115)))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32658,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB115) | (~v154(constB115)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32659,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB115) | (~v154(constB115))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32658, 32657])).
% 39.81/26.21 tff(32660,plain,
% 39.81/26.21 (~v154(constB115)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32659, 17105, 32656])).
% 39.81/26.21 tff(32661,assumption,(v18(constB116)), introduced(assumption)).
% 39.81/26.21 tff(32662,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB116))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32663,plain,
% 39.81/26.21 ($false),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32662, 8, 32661])).
% 39.81/26.21 tff(32664,plain,(~v18(constB116)), inference(lemma,lemma(discharge,[]))).
% 39.81/26.21 tff(32665,plain,
% 39.81/26.21 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116)))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32666,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32667,plain,
% 39.81/26.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116))),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32666, 32665])).
% 39.81/26.21 tff(32668,plain,
% 39.81/26.21 (v22(constB116)),
% 39.81/26.21 inference(unit_resolution,[status(thm)],[32667, 21, 13682])).
% 39.81/26.21 tff(32669,plain,
% 39.81/26.21 (((~![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))),
% 39.81/26.21 inference(rewrite,[status(thm)],[])).
% 39.81/26.21 tff(32670,plain,
% 39.81/26.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB116)) | (~v22(constB116)) | v18(constB116))),
% 39.81/26.21 inference(quant_inst,[status(thm)],[])).
% 39.81/26.21 tff(32671,plain,
% 39.81/26.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB116)) | (~v22(constB116)) | v18(constB116)),
% 39.81/26.21 inference(modus_ponens,[status(thm)],[32670, 32669])).
% 39.81/26.22 tff(32672,plain,
% 39.81/26.22 ((~v19(constB116)) | v18(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32671, 35, 32668])).
% 39.81/26.22 tff(32673,plain,
% 39.81/26.22 (~v19(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32672, 32664])).
% 39.81/26.22 tff(32674,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32675,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32676,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116)),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32675, 32674])).
% 39.81/26.22 tff(32677,plain,
% 39.81/26.22 (v13(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32676, 50, 32673])).
% 39.81/26.22 tff(32678,plain,
% 39.81/26.22 (((~![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))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32679,plain,
% 39.81/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32680,plain,
% 39.81/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115)),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32679, 32678])).
% 39.81/26.22 tff(32681,plain,
% 39.81/26.22 ((~v13(constB116)) | v9(constB115)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32680, 67, 13662])).
% 39.81/26.22 tff(32682,plain,
% 39.81/26.22 (v9(constB115)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32681, 32677])).
% 39.81/26.22 tff(32683,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB115) | (~v9(constB115)) | v141(constB115))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32684,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v141(constB115))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32685,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB115) | (~v9(constB115)) | v141(constB115)),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32684, 32683])).
% 39.81/26.22 tff(32686,plain,
% 39.81/26.22 ((~v9(constB115)) | v141(constB115)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32685, 85, 13546])).
% 39.81/26.22 tff(32687,plain,
% 39.81/26.22 (v141(constB115)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32686, 32682])).
% 39.81/26.22 tff(32688,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB115) | (~v141(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB115) | (~v141(constB115)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32689,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB115) | (~v141(constB115)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32690,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB115) | (~v141(constB115))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32689, 32688])).
% 39.81/26.22 tff(32691,plain,
% 39.81/26.22 (v140(constB115)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32690, 97, 32687])).
% 39.81/26.22 tff(32692,plain,
% 39.81/26.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB115)) | (~v153(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB115)) | (~v153(constB115)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32693,plain,
% 39.81/26.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB115)) | (~v153(constB115)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32694,plain,
% 39.81/26.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB115)) | (~v153(constB115))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32693, 32692])).
% 39.81/26.22 tff(32695,plain,
% 39.81/26.22 (~v153(constB115)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32694, 17156, 32691])).
% 39.81/26.22 tff(32696,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB115) | v154(constB115) | (~v150(constB115)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB115) | v154(constB115) | (~v150(constB115)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32697,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB115) | v154(constB115) | (~v150(constB115)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32698,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB115) | v154(constB115) | (~v150(constB115))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32697, 32696])).
% 39.81/26.22 tff(32699,plain,
% 39.81/26.22 (v154(constB115) | (~v150(constB115))),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32698, 17170, 32695])).
% 39.81/26.22 tff(32700,plain,
% 39.81/26.22 (~v150(constB115)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32699, 32660])).
% 39.81/26.22 tff(32701,plain,
% 39.81/26.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB115, constB116)) | v150(constB115) | (~v152(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB115, constB116)) | v150(constB115) | (~v152(constB116)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32702,plain,
% 39.81/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB115, constB116)) | v150(constB115) | (~v152(constB116)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32703,plain,
% 39.81/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB115, constB116)) | v150(constB115) | (~v152(constB116))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32702, 32701])).
% 39.81/26.22 tff(32704,plain,
% 39.81/26.22 (v150(constB115) | (~v152(constB116))),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32703, 17185, 13662])).
% 39.81/26.22 tff(32705,plain,
% 39.81/26.22 (~v152(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32704, 32700])).
% 39.81/26.22 tff(32706,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB116) | (~v153(constB116)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB116) | (~v153(constB116)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32707,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB116) | (~v153(constB116)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32708,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB116) | (~v153(constB116))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32707, 32706])).
% 39.81/26.22 tff(32709,plain,
% 39.81/26.22 (~v153(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32708, 17197, 32705])).
% 39.81/26.22 tff(32710,plain,
% 39.81/26.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB116)) | (~v141(constB116)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB116)) | (~v141(constB116)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32711,plain,
% 39.81/26.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB116)) | (~v141(constB116)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32712,plain,
% 39.81/26.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB116)) | (~v141(constB116))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32711, 32710])).
% 39.81/26.22 tff(32713,plain,
% 39.81/26.22 (~v141(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32712, 17066, 13682])).
% 39.81/26.22 tff(32714,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB116) | (~v155(constB116)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB116) | (~v155(constB116)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32715,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB116) | (~v155(constB116)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32716,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB116) | (~v155(constB116))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32715, 32714])).
% 39.81/26.22 tff(32717,plain,
% 39.81/26.22 (~v155(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32716, 17212, 32713])).
% 39.81/26.22 tff(32718,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB116) | (~v154(constB116)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB116) | (~v154(constB116)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32719,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB116) | (~v154(constB116)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32720,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB116) | (~v154(constB116))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32719, 32718])).
% 39.81/26.22 tff(32721,plain,
% 39.81/26.22 (~v154(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32720, 17223, 32717])).
% 39.81/26.22 tff(32722,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB116) | v154(constB116) | (~v150(constB116)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB116) | v154(constB116) | (~v150(constB116)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32723,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB116) | v154(constB116) | (~v150(constB116)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32724,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB116) | v154(constB116) | (~v150(constB116))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32723, 32722])).
% 39.81/26.22 tff(32725,plain,
% 39.81/26.22 (v153(constB116) | (~v150(constB116))),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32724, 17170, 32721])).
% 39.81/26.22 tff(32726,plain,
% 39.81/26.22 (~v150(constB116)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32725, 32709])).
% 39.81/26.22 tff(32727,plain,
% 39.81/26.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB116, constB117)) | v150(constB116) | (~v152(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB116, constB117)) | v150(constB116) | (~v152(constB117)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32728,plain,
% 39.81/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB116, constB117)) | v150(constB116) | (~v152(constB117)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32729,plain,
% 39.81/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB116, constB117)) | v150(constB116) | (~v152(constB117))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32728, 32727])).
% 39.81/26.22 tff(32730,plain,
% 39.81/26.22 (v150(constB116) | (~v152(constB117))),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32729, 17185, 13754])).
% 39.81/26.22 tff(32731,plain,
% 39.81/26.22 (~v152(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32730, 32726])).
% 39.81/26.22 tff(32732,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB117) | (~v164(constB117)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB117) | (~v164(constB117)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32733,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB117) | (~v164(constB117)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32734,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB117) | (~v164(constB117))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32733, 32732])).
% 39.81/26.22 tff(32735,plain,
% 39.81/26.22 (~v164(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32734, 17247, 32731])).
% 39.81/26.22 tff(32736,assumption,(v18(constB118)), introduced(assumption)).
% 39.81/26.22 tff(32737,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB118))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32738,plain,
% 39.81/26.22 ($false),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32737, 8, 32736])).
% 39.81/26.22 tff(32739,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 39.81/26.22 tff(32740,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32741,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32742,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32741, 32740])).
% 39.81/26.22 tff(32743,plain,
% 39.81/26.22 (v22(constB118)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32742, 21, 13913])).
% 39.81/26.22 tff(32744,plain,
% 39.81/26.22 (((~![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))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32745,plain,
% 39.81/26.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32746,plain,
% 39.81/26.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118)),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32745, 32744])).
% 39.81/26.22 tff(32747,plain,
% 39.81/26.22 ((~v19(constB118)) | v18(constB118)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32746, 35, 32743])).
% 39.81/26.22 tff(32748,plain,
% 39.81/26.22 (~v19(constB118)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32747, 32739])).
% 39.81/26.22 tff(32749,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32750,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32751,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32750, 32749])).
% 39.81/26.22 tff(32752,plain,
% 39.81/26.22 (v13(constB118)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32751, 50, 32748])).
% 39.81/26.22 tff(32753,plain,
% 39.81/26.22 (((~![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))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32754,plain,
% 39.81/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32755,plain,
% 39.81/26.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117)),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32754, 32753])).
% 39.81/26.22 tff(32756,plain,
% 39.81/26.22 ((~v13(constB118)) | v9(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32755, 67, 13893])).
% 39.81/26.22 tff(32757,plain,
% 39.81/26.22 (v9(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32756, 32752])).
% 39.81/26.22 tff(32758,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v141(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB117) | (~v9(constB117)) | v141(constB117))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32759,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v141(constB117))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32760,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB117) | (~v9(constB117)) | v141(constB117)),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32759, 32758])).
% 39.81/26.22 tff(32761,plain,
% 39.81/26.22 ((~v9(constB117)) | v141(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32760, 85, 13751])).
% 39.81/26.22 tff(32762,plain,
% 39.81/26.22 (v141(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32761, 32757])).
% 39.81/26.22 tff(32763,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB117) | (~v141(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB117) | (~v141(constB117)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32764,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB117) | (~v141(constB117)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32765,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB117) | (~v141(constB117))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32764, 32763])).
% 39.81/26.22 tff(32766,plain,
% 39.81/26.22 (v140(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32765, 97, 32762])).
% 39.81/26.22 tff(32767,plain,
% 39.81/26.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB117)) | (~v163(constB117)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB117)) | (~v163(constB117)))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32768,plain,
% 39.81/26.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB117)) | (~v163(constB117)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32769,plain,
% 39.81/26.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB117)) | (~v163(constB117))),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32768, 32767])).
% 39.81/26.22 tff(32770,plain,
% 39.81/26.22 (~v163(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32769, 17298, 32766])).
% 39.81/26.22 tff(32771,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB117)) | v163(constB117) | v164(constB117))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB117)) | v163(constB117) | v164(constB117))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32772,plain,
% 39.81/26.22 ((v164(constB117) | v163(constB117) | (~v160(constB117))) <=> ((~v160(constB117)) | v163(constB117) | v164(constB117))),
% 39.81/26.22 inference(rewrite,[status(thm)],[])).
% 39.81/26.22 tff(32773,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB117) | v163(constB117) | (~v160(constB117)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB117)) | v163(constB117) | v164(constB117)))),
% 39.81/26.22 inference(monotonicity,[status(thm)],[32772])).
% 39.81/26.22 tff(32774,plain,
% 39.81/26.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB117) | v163(constB117) | (~v160(constB117)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB117)) | v163(constB117) | v164(constB117))),
% 39.81/26.22 inference(transitivity,[status(thm)],[32773, 32771])).
% 39.81/26.22 tff(32775,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB117) | v163(constB117) | (~v160(constB117)))),
% 39.81/26.22 inference(quant_inst,[status(thm)],[])).
% 39.81/26.22 tff(32776,plain,
% 39.81/26.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB117)) | v163(constB117) | v164(constB117)),
% 39.81/26.22 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 39.81/26.22 tff(32777,plain,
% 39.81/26.22 ((~v160(constB117)) | v164(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32776, 17312, 32770])).
% 39.81/26.22 tff(32778,plain,
% 39.81/26.22 (~v160(constB117)),
% 39.81/26.22 inference(unit_resolution,[status(thm)],[32777, 32735])).
% 39.81/26.22 tff(32779,plain,
% 39.81/26.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB117, constB118)) | v160(constB117) | (~v162(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB117, constB118)) | v160(constB117) | (~v162(constB118)))),
% 39.81/26.23 inference(rewrite,[status(thm)],[])).
% 39.81/26.23 tff(32780,plain,
% 39.81/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB117, constB118)) | v160(constB117) | (~v162(constB118)))),
% 39.81/26.23 inference(quant_inst,[status(thm)],[])).
% 39.81/26.23 tff(32781,plain,
% 39.81/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB117, constB118)) | v160(constB117) | (~v162(constB118))),
% 39.81/26.23 inference(modus_ponens,[status(thm)],[32780, 32779])).
% 39.81/26.23 tff(32782,plain,
% 39.81/26.23 (v160(constB117) | (~v162(constB118))),
% 39.81/26.23 inference(unit_resolution,[status(thm)],[32781, 17330, 13893])).
% 39.81/26.23 tff(32783,plain,
% 39.81/26.23 (~v162(constB118)),
% 39.81/26.23 inference(unit_resolution,[status(thm)],[32782, 32778])).
% 39.81/26.23 tff(32784,plain,
% 39.81/26.23 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB118) | (~v163(constB118)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB118) | (~v163(constB118)))),
% 39.81/26.23 inference(rewrite,[status(thm)],[])).
% 39.81/26.23 tff(32785,plain,
% 39.81/26.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB118) | (~v163(constB118)))),
% 39.81/26.23 inference(quant_inst,[status(thm)],[])).
% 39.81/26.23 tff(32786,plain,
% 39.81/26.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB118) | (~v163(constB118))),
% 39.81/26.23 inference(modus_ponens,[status(thm)],[32785, 32784])).
% 39.81/26.23 tff(32787,plain,
% 39.81/26.23 (~v163(constB118)),
% 39.81/26.23 inference(unit_resolution,[status(thm)],[32786, 17342, 32783])).
% 39.81/26.23 tff(32788,plain,
% 39.81/26.23 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB118)) | (~v141(constB118)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB118)) | (~v141(constB118)))),
% 39.81/26.23 inference(rewrite,[status(thm)],[])).
% 39.81/26.23 tff(32789,plain,
% 39.81/26.23 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB118)) | (~v141(constB118)))),
% 39.81/26.23 inference(quant_inst,[status(thm)],[])).
% 39.81/26.23 tff(32790,plain,
% 39.81/26.23 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB118)) | (~v141(constB118))),
% 39.81/26.23 inference(modus_ponens,[status(thm)],[32789, 32788])).
% 39.81/26.23 tff(32791,plain,
% 39.81/26.23 (~v141(constB118)),
% 39.81/26.23 inference(unit_resolution,[status(thm)],[32790, 17066, 13913])).
% 39.81/26.23 tff(32792,plain,
% 39.81/26.23 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB118) | (~v155(constB118)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB118) | (~v155(constB118)))),
% 39.81/26.23 inference(rewrite,[status(thm)],[])).
% 39.81/26.23 tff(32793,plain,
% 39.81/26.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB118) | (~v155(constB118)))),
% 39.81/26.23 inference(quant_inst,[status(thm)],[])).
% 39.81/26.23 tff(32794,plain,
% 39.81/26.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB118) | (~v155(constB118))),
% 39.81/26.23 inference(modus_ponens,[status(thm)],[32793, 32792])).
% 39.81/26.23 tff(32795,plain,
% 39.81/26.23 (~v155(constB118)),
% 39.81/26.23 inference(unit_resolution,[status(thm)],[32794, 17212, 32791])).
% 39.81/26.23 tff(32796,plain,
% 39.81/26.23 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB118) | (~v164(constB118)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB118) | (~v164(constB118)))),
% 39.81/26.23 inference(rewrite,[status(thm)],[])).
% 39.81/26.23 tff(32797,plain,
% 39.81/26.23 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB118) | (~v164(constB118)))),
% 39.81/26.23 inference(quant_inst,[status(thm)],[])).
% 39.81/26.23 tff(32798,plain,
% 39.81/26.23 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB118) | (~v164(constB118))),
% 39.81/26.23 inference(modus_ponens,[status(thm)],[32797, 32796])).
% 39.81/26.23 tff(32799,plain,
% 39.81/26.23 (~v164(constB118)),
% 39.81/26.23 inference(unit_resolution,[status(thm)],[32798, 17361, 32795])).
% 39.81/26.23 tff(32800,plain,
% 39.81/26.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB118)) | v164(constB118) | v163(constB118))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB118)) | v164(constB118) | v163(constB118))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32801,plain,
% 39.83/26.23 ((v164(constB118) | v163(constB118) | (~v160(constB118))) <=> ((~v160(constB118)) | v164(constB118) | v163(constB118))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32802,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB118) | v163(constB118) | (~v160(constB118)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB118)) | v164(constB118) | v163(constB118)))),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32801])).
% 39.83/26.23 tff(32803,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB118) | v163(constB118) | (~v160(constB118)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB118)) | v164(constB118) | v163(constB118))),
% 39.83/26.23 inference(transitivity,[status(thm)],[32802, 32800])).
% 39.83/26.23 tff(32804,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB118) | v163(constB118) | (~v160(constB118)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32805,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB118)) | v164(constB118) | v163(constB118)),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32804, 32803])).
% 39.83/26.23 tff(32806,plain,
% 39.83/26.23 ((~v160(constB118)) | v163(constB118)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32805, 17312, 32799])).
% 39.83/26.23 tff(32807,plain,
% 39.83/26.23 (~v160(constB118)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32806, 32787])).
% 39.83/26.23 tff(32808,plain,
% 39.83/26.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB118, constB119)) | v160(constB118) | (~v162(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB118, constB119)) | v160(constB118) | (~v162(constB119)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32809,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB118, constB119)) | v160(constB118) | (~v162(constB119)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32810,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB118, constB119)) | v160(constB118) | (~v162(constB119))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32809, 32808])).
% 39.83/26.23 tff(32811,plain,
% 39.83/26.23 (v160(constB118) | (~v162(constB119))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32810, 17330, 13958])).
% 39.83/26.23 tff(32812,plain,
% 39.83/26.23 (~v162(constB119)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32811, 32807])).
% 39.83/26.23 tff(32813,plain,
% 39.83/26.23 ($false),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32812, 32570])).
% 39.83/26.23 tff(32814,plain,(~(constB119 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.23 tff(32815,assumption,(constB142 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.23 tff(32816,plain,
% 39.83/26.23 (v1(constB142) <=> v1(sK0_VarCurr)),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32815])).
% 39.83/26.23 tff(32817,plain,
% 39.83/26.23 (v1(sK0_VarCurr) <=> v1(constB142)),
% 39.83/26.23 inference(symmetry,[status(thm)],[32816])).
% 39.83/26.23 tff(32818,plain,
% 39.83/26.23 ((~v1(sK0_VarCurr)) <=> (~v1(constB142))),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32817])).
% 39.83/26.23 tff(32819,plain,
% 39.83/26.23 (~v1(constB142)),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[23858, 32818])).
% 39.83/26.23 tff(32820,plain,
% 39.83/26.23 ($false),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[16343, 32819])).
% 39.83/26.23 tff(32821,plain,(~(constB142 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.23 tff(32822,assumption,(constB156 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.23 tff(32823,plain,
% 39.83/26.23 (v1(constB156) <=> v1(sK0_VarCurr)),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32822])).
% 39.83/26.23 tff(32824,plain,
% 39.83/26.23 (v1(sK0_VarCurr) <=> v1(constB156)),
% 39.83/26.23 inference(symmetry,[status(thm)],[32823])).
% 39.83/26.23 tff(32825,plain,
% 39.83/26.23 ((~v1(sK0_VarCurr)) <=> (~v1(constB156))),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32824])).
% 39.83/26.23 tff(32826,plain,
% 39.83/26.23 (~v1(constB156)),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[23858, 32825])).
% 39.83/26.23 tff(32827,plain,
% 39.83/26.23 ($false),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[18394, 32826])).
% 39.83/26.23 tff(32828,plain,(~(constB156 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.23 tff(32829,assumption,(constB154 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.23 tff(32830,plain,
% 39.83/26.23 (v1(constB154) <=> v1(sK0_VarCurr)),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32829])).
% 39.83/26.23 tff(32831,plain,
% 39.83/26.23 (v1(sK0_VarCurr) <=> v1(constB154)),
% 39.83/26.23 inference(symmetry,[status(thm)],[32830])).
% 39.83/26.23 tff(32832,plain,
% 39.83/26.23 ((~v1(sK0_VarCurr)) <=> (~v1(constB154))),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32831])).
% 39.83/26.23 tff(32833,plain,
% 39.83/26.23 (~v1(constB154)),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[23858, 32832])).
% 39.83/26.23 tff(32834,plain,
% 39.83/26.23 ($false),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[17258, 32833])).
% 39.83/26.23 tff(32835,plain,(~(constB154 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.23 tff(32836,assumption,(constB65 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.23 tff(32837,plain,
% 39.83/26.23 (v162(constB65) <=> v162(sK0_VarCurr)),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32836])).
% 39.83/26.23 tff(32838,plain,
% 39.83/26.23 (v162(sK0_VarCurr) <=> v162(constB65)),
% 39.83/26.23 inference(symmetry,[status(thm)],[32837])).
% 39.83/26.23 tff(32839,plain,
% 39.83/26.23 (v162(constB65)),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[17398, 32838])).
% 39.83/26.23 tff(32840,plain,
% 39.83/26.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB59, bitIndex1)) | (~v145(constB59)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB59, bitIndex1)) | (~v145(constB59)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32841,plain,
% 39.83/26.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB59, bitIndex1)) | (~v145(constB59)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32842,plain,
% 39.83/26.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB59, bitIndex1)) | (~v145(constB59))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32841, 32840])).
% 39.83/26.23 tff(32843,plain,
% 39.83/26.23 (~v145(constB59)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32842, 1116, 7362])).
% 39.83/26.23 tff(32844,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32845,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32846,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32845, 32844])).
% 39.83/26.23 tff(32847,plain,
% 39.83/26.23 (~v144(constB59)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32846, 17003, 32843])).
% 39.83/26.23 tff(32848,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32849,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32850,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32849, 32848])).
% 39.83/26.23 tff(32851,plain,
% 39.83/26.23 (~v142(constB59)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32850, 17014, 32847])).
% 39.83/26.23 tff(32852,plain,
% 39.83/26.23 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32853,plain,
% 39.83/26.23 (((~v140(constB59)) | (~v138(constB59))) <=> ((~v138(constB59)) | (~v140(constB59)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32854,plain,
% 39.83/26.23 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59))))),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32853])).
% 39.83/26.23 tff(32855,plain,
% 39.83/26.23 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59)))),
% 39.83/26.23 inference(transitivity,[status(thm)],[32854, 32852])).
% 39.83/26.23 tff(32856,plain,
% 39.83/26.23 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32857,plain,
% 39.83/26.23 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32856, 32855])).
% 39.83/26.23 tff(32858,plain,
% 39.83/26.23 (~v138(constB59)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32857, 108, 30339])).
% 39.83/26.23 tff(32859,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32860,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32861,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32860, 32859])).
% 39.83/26.23 tff(32862,plain,
% 39.83/26.23 (v142(constB59) | (~v135(constB59))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32861, 17028, 32858])).
% 39.83/26.23 tff(32863,plain,
% 39.83/26.23 (~v135(constB59)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32862, 32851])).
% 39.83/26.23 tff(32864,plain,
% 39.83/26.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32865,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32866,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32865, 32864])).
% 39.83/26.23 tff(32867,plain,
% 39.83/26.23 (v135(constB59) | (~v137(constB60))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32866, 17043, 7439])).
% 39.83/26.23 tff(32868,plain,
% 39.83/26.23 (~v137(constB60)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32867, 32863])).
% 39.83/26.23 tff(32869,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32870,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32871,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32870, 32869])).
% 39.83/26.23 tff(32872,plain,
% 39.83/26.23 (~v138(constB60)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32871, 17055, 32868])).
% 39.83/26.23 tff(32873,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32874,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32875,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32874, 32873])).
% 39.83/26.23 tff(32876,plain,
% 39.83/26.23 (~v144(constB60)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32875, 17077, 30364])).
% 39.83/26.23 tff(32877,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32878,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32879,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32878, 32877])).
% 39.83/26.23 tff(32880,plain,
% 39.83/26.23 (~v142(constB60)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32879, 17014, 32876])).
% 39.83/26.23 tff(32881,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32882,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32883,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32882, 32881])).
% 39.83/26.23 tff(32884,plain,
% 39.83/26.23 (v138(constB60) | (~v135(constB60))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32883, 17028, 32880])).
% 39.83/26.23 tff(32885,plain,
% 39.83/26.23 (~v135(constB60)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32884, 32872])).
% 39.83/26.23 tff(32886,plain,
% 39.83/26.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32887,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32888,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32887, 32886])).
% 39.83/26.23 tff(32889,plain,
% 39.83/26.23 (v135(constB60) | (~v137(constB61))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32888, 17043, 7504])).
% 39.83/26.23 tff(32890,plain,
% 39.83/26.23 (~v137(constB61)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32889, 32885])).
% 39.83/26.23 tff(32891,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB61) | (~v154(constB61)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB61) | (~v154(constB61)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32892,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB61) | (~v154(constB61)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32893,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB61) | (~v154(constB61))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32892, 32891])).
% 39.83/26.23 tff(32894,plain,
% 39.83/26.23 (~v154(constB61)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32893, 17105, 32890])).
% 39.83/26.23 tff(32895,plain,
% 39.83/26.23 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB61)) | (~v153(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB61)) | (~v153(constB61)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32896,plain,
% 39.83/26.23 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB61)) | (~v153(constB61)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32897,plain,
% 39.83/26.23 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB61)) | (~v153(constB61))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32896, 32895])).
% 39.83/26.23 tff(32898,plain,
% 39.83/26.23 (~v153(constB61)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32897, 17156, 31829])).
% 39.83/26.23 tff(32899,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v154(constB61) | (~v150(constB61)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v154(constB61) | (~v150(constB61)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32900,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v154(constB61) | (~v150(constB61)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32901,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v154(constB61) | (~v150(constB61))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32900, 32899])).
% 39.83/26.23 tff(32902,plain,
% 39.83/26.23 (v154(constB61) | (~v150(constB61))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32901, 17170, 32898])).
% 39.83/26.23 tff(32903,plain,
% 39.83/26.23 (~v150(constB61)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32902, 32894])).
% 39.83/26.23 tff(32904,plain,
% 39.83/26.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32905,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32906,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32905, 32904])).
% 39.83/26.23 tff(32907,plain,
% 39.83/26.23 (v150(constB61) | (~v152(constB62))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32906, 17185, 7626])).
% 39.83/26.23 tff(32908,plain,
% 39.83/26.23 (~v152(constB62)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32907, 32903])).
% 39.83/26.23 tff(32909,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB62) | (~v153(constB62)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB62) | (~v153(constB62)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32910,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB62) | (~v153(constB62)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32911,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB62) | (~v153(constB62))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32910, 32909])).
% 39.83/26.23 tff(32912,plain,
% 39.83/26.23 (~v153(constB62)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32911, 17197, 32908])).
% 39.83/26.23 tff(32913,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB62) | (~v155(constB62)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB62) | (~v155(constB62)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32914,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB62) | (~v155(constB62)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32915,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB62) | (~v155(constB62))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32914, 32913])).
% 39.83/26.23 tff(32916,plain,
% 39.83/26.23 (~v155(constB62)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32915, 17212, 31854])).
% 39.83/26.23 tff(32917,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB62) | (~v154(constB62)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB62) | (~v154(constB62)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32918,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB62) | (~v154(constB62)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32919,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB62) | (~v154(constB62))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32918, 32917])).
% 39.83/26.23 tff(32920,plain,
% 39.83/26.23 (~v154(constB62)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32919, 17223, 32916])).
% 39.83/26.23 tff(32921,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v154(constB62) | (~v150(constB62)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v154(constB62) | (~v150(constB62)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32922,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v154(constB62) | (~v150(constB62)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32923,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v154(constB62) | (~v150(constB62))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32922, 32921])).
% 39.83/26.23 tff(32924,plain,
% 39.83/26.23 (v153(constB62) | (~v150(constB62))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32923, 17170, 32920])).
% 39.83/26.23 tff(32925,plain,
% 39.83/26.23 (~v150(constB62)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32924, 32912])).
% 39.83/26.23 tff(32926,plain,
% 39.83/26.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32927,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32928,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32927, 32926])).
% 39.83/26.23 tff(32929,plain,
% 39.83/26.23 (v150(constB62) | (~v152(constB63))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32928, 17185, 7688])).
% 39.83/26.23 tff(32930,plain,
% 39.83/26.23 (~v152(constB63)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32929, 32925])).
% 39.83/26.23 tff(32931,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB63) | (~v164(constB63)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB63) | (~v164(constB63)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32932,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB63) | (~v164(constB63)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32933,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB63) | (~v164(constB63))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32932, 32931])).
% 39.83/26.23 tff(32934,plain,
% 39.83/26.23 (~v164(constB63)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32933, 17247, 32930])).
% 39.83/26.23 tff(32935,plain,
% 39.83/26.23 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB63)) | (~v163(constB63)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB63)) | (~v163(constB63)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32936,plain,
% 39.83/26.23 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB63)) | (~v163(constB63)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32937,plain,
% 39.83/26.23 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB63)) | (~v163(constB63))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32936, 32935])).
% 39.83/26.23 tff(32938,plain,
% 39.83/26.23 (~v163(constB63)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32937, 17298, 31907])).
% 39.83/26.23 tff(32939,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB63)) | v164(constB63) | v163(constB63))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB63)) | v164(constB63) | v163(constB63))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32940,plain,
% 39.83/26.23 ((v164(constB63) | v163(constB63) | (~v160(constB63))) <=> ((~v160(constB63)) | v164(constB63) | v163(constB63))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32941,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB63) | v163(constB63) | (~v160(constB63)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB63)) | v164(constB63) | v163(constB63)))),
% 39.83/26.23 inference(monotonicity,[status(thm)],[32940])).
% 39.83/26.23 tff(32942,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB63) | v163(constB63) | (~v160(constB63)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB63)) | v164(constB63) | v163(constB63))),
% 39.83/26.23 inference(transitivity,[status(thm)],[32941, 32939])).
% 39.83/26.23 tff(32943,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB63) | v163(constB63) | (~v160(constB63)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32944,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB63)) | v164(constB63) | v163(constB63)),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32943, 32942])).
% 39.83/26.23 tff(32945,plain,
% 39.83/26.23 ((~v160(constB63)) | v164(constB63)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32944, 17312, 32938])).
% 39.83/26.23 tff(32946,plain,
% 39.83/26.23 (~v160(constB63)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32945, 32934])).
% 39.83/26.23 tff(32947,plain,
% 39.83/26.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32948,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32949,plain,
% 39.83/26.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32948, 32947])).
% 39.83/26.23 tff(32950,plain,
% 39.83/26.23 (v160(constB63) | (~v162(constB64))),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32949, 17330, 7809])).
% 39.83/26.23 tff(32951,plain,
% 39.83/26.23 (~v162(constB64)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32950, 32946])).
% 39.83/26.23 tff(32952,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB64) | (~v163(constB64)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB64) | (~v163(constB64)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32953,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB64) | (~v163(constB64)))),
% 39.83/26.23 inference(quant_inst,[status(thm)],[])).
% 39.83/26.23 tff(32954,plain,
% 39.83/26.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB64) | (~v163(constB64))),
% 39.83/26.23 inference(modus_ponens,[status(thm)],[32953, 32952])).
% 39.83/26.23 tff(32955,plain,
% 39.83/26.23 (~v163(constB64)),
% 39.83/26.23 inference(unit_resolution,[status(thm)],[32954, 17342, 32951])).
% 39.83/26.23 tff(32956,plain,
% 39.83/26.23 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB64) | (~v164(constB64)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB64) | (~v164(constB64)))),
% 39.83/26.23 inference(rewrite,[status(thm)],[])).
% 39.83/26.23 tff(32957,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB64) | (~v164(constB64)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(32958,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB64) | (~v164(constB64))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[32957, 32956])).
% 39.83/26.24 tff(32959,plain,
% 39.83/26.24 (~v164(constB64)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[32958, 17361, 31933])).
% 39.83/26.24 tff(32960,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB64)) | v164(constB64) | v163(constB64))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB64)) | v164(constB64) | v163(constB64))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(32961,plain,
% 39.83/26.24 ((v164(constB64) | v163(constB64) | (~v160(constB64))) <=> ((~v160(constB64)) | v164(constB64) | v163(constB64))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(32962,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB64) | v163(constB64) | (~v160(constB64)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB64)) | v164(constB64) | v163(constB64)))),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32961])).
% 39.83/26.24 tff(32963,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB64) | v163(constB64) | (~v160(constB64)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB64)) | v164(constB64) | v163(constB64))),
% 39.83/26.24 inference(transitivity,[status(thm)],[32962, 32960])).
% 39.83/26.24 tff(32964,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB64) | v163(constB64) | (~v160(constB64)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(32965,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB64)) | v164(constB64) | v163(constB64)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[32964, 32963])).
% 39.83/26.24 tff(32966,plain,
% 39.83/26.24 ((~v160(constB64)) | v163(constB64)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[32965, 17312, 32959])).
% 39.83/26.24 tff(32967,plain,
% 39.83/26.24 (~v160(constB64)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[32966, 32955])).
% 39.83/26.24 tff(32968,plain,
% 39.83/26.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(32969,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(32970,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[32969, 32968])).
% 39.83/26.24 tff(32971,plain,
% 39.83/26.24 (v160(constB64) | (~v162(constB65))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[32970, 17330, 7871])).
% 39.83/26.24 tff(32972,plain,
% 39.83/26.24 (~v162(constB65)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[32971, 32967])).
% 39.83/26.24 tff(32973,plain,
% 39.83/26.24 ($false),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[32972, 32839])).
% 39.83/26.24 tff(32974,plain,(~(constB65 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.24 tff(32975,assumption,(constB66 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.24 tff(32976,plain,
% 39.83/26.24 (v1(constB66) <=> v1(sK0_VarCurr)),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32975])).
% 39.83/26.24 tff(32977,plain,
% 39.83/26.24 (v1(sK0_VarCurr) <=> v1(constB66)),
% 39.83/26.24 inference(symmetry,[status(thm)],[32976])).
% 39.83/26.24 tff(32978,plain,
% 39.83/26.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB66))),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32977])).
% 39.83/26.24 tff(32979,plain,
% 39.83/26.24 (~v1(constB66)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[23858, 32978])).
% 39.83/26.24 tff(32980,plain,
% 39.83/26.24 ($false),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[8001, 32979])).
% 39.83/26.24 tff(32981,plain,(~(constB66 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.24 tff(32982,assumption,(constB158 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.24 tff(32983,plain,
% 39.83/26.24 (v1(constB158) <=> v1(sK0_VarCurr)),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32982])).
% 39.83/26.24 tff(32984,plain,
% 39.83/26.24 (v1(sK0_VarCurr) <=> v1(constB158)),
% 39.83/26.24 inference(symmetry,[status(thm)],[32983])).
% 39.83/26.24 tff(32985,plain,
% 39.83/26.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB158))),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32984])).
% 39.83/26.24 tff(32986,plain,
% 39.83/26.24 (~v1(constB158)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[23858, 32985])).
% 39.83/26.24 tff(32987,plain,
% 39.83/26.24 ($false),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[18628, 32986])).
% 39.83/26.24 tff(32988,plain,(~(constB158 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.24 tff(32989,assumption,(constB128 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.24 tff(32990,plain,
% 39.83/26.24 (v1(constB128) <=> v1(sK0_VarCurr)),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32989])).
% 39.83/26.24 tff(32991,plain,
% 39.83/26.24 (v1(sK0_VarCurr) <=> v1(constB128)),
% 39.83/26.24 inference(symmetry,[status(thm)],[32990])).
% 39.83/26.24 tff(32992,plain,
% 39.83/26.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB128))),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32991])).
% 39.83/26.24 tff(32993,plain,
% 39.83/26.24 (~v1(constB128)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[23858, 32992])).
% 39.83/26.24 tff(32994,plain,
% 39.83/26.24 ($false),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[14880, 32993])).
% 39.83/26.24 tff(32995,plain,(~(constB128 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.24 tff(32996,assumption,(constB132 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.24 tff(32997,plain,
% 39.83/26.24 (v1(constB132) <=> v1(sK0_VarCurr)),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32996])).
% 39.83/26.24 tff(32998,plain,
% 39.83/26.24 (v1(sK0_VarCurr) <=> v1(constB132)),
% 39.83/26.24 inference(symmetry,[status(thm)],[32997])).
% 39.83/26.24 tff(32999,plain,
% 39.83/26.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB132))),
% 39.83/26.24 inference(monotonicity,[status(thm)],[32998])).
% 39.83/26.24 tff(33000,plain,
% 39.83/26.24 (~v1(constB132)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[23858, 32999])).
% 39.83/26.24 tff(33001,plain,
% 39.83/26.24 ($false),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[15276, 33000])).
% 39.83/26.24 tff(33002,plain,(~(constB132 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.24 tff(33003,assumption,(constB20 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.24 tff(33004,plain,
% 39.83/26.24 (v1(constB20) <=> v1(sK0_VarCurr)),
% 39.83/26.24 inference(monotonicity,[status(thm)],[33003])).
% 39.83/26.24 tff(33005,plain,
% 39.83/26.24 (v1(sK0_VarCurr) <=> v1(constB20)),
% 39.83/26.24 inference(symmetry,[status(thm)],[33004])).
% 39.83/26.24 tff(33006,plain,
% 39.83/26.24 ((~v1(sK0_VarCurr)) <=> (~v1(constB20))),
% 39.83/26.24 inference(monotonicity,[status(thm)],[33005])).
% 39.83/26.24 tff(33007,plain,
% 39.83/26.24 (~v1(constB20)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[23858, 33006])).
% 39.83/26.24 tff(33008,plain,
% 39.83/26.24 ($false),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[2741, 33007])).
% 39.83/26.24 tff(33009,plain,(~(constB20 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.24 tff(33010,assumption,(constB41 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.24 tff(33011,plain,
% 39.83/26.24 (v162(constB41) <=> v162(sK0_VarCurr)),
% 39.83/26.24 inference(monotonicity,[status(thm)],[33010])).
% 39.83/26.24 tff(33012,plain,
% 39.83/26.24 (v162(sK0_VarCurr) <=> v162(constB41)),
% 39.83/26.24 inference(symmetry,[status(thm)],[33011])).
% 39.83/26.24 tff(33013,plain,
% 39.83/26.24 (v162(constB41)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[17398, 33012])).
% 39.83/26.24 tff(33014,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB35) | (~v144(constB35)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB35) | (~v144(constB35)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33015,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB35) | (~v144(constB35)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33016,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB35) | (~v144(constB35))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33015, 33014])).
% 39.83/26.24 tff(33017,plain,
% 39.83/26.24 (~v144(constB35)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33016, 17003, 4554])).
% 39.83/26.24 tff(33018,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB35) | (~v142(constB35)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB35) | (~v142(constB35)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33019,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB35) | (~v142(constB35)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33020,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB35) | (~v142(constB35))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33019, 33018])).
% 39.83/26.24 tff(33021,plain,
% 39.83/26.24 (~v142(constB35)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33020, 17014, 33017])).
% 39.83/26.24 tff(33022,plain,
% 39.83/26.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB35)) | (~v138(constB35)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB35)) | (~v138(constB35)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33023,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB35)) | (~v138(constB35)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33024,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB35)) | (~v138(constB35))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33023, 33022])).
% 39.83/26.24 tff(33025,plain,
% 39.83/26.24 (~v138(constB35)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33024, 108, 25005])).
% 39.83/26.24 tff(33026,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB35) | v142(constB35) | (~v135(constB35)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB35) | v142(constB35) | (~v135(constB35)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33027,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB35) | v142(constB35) | (~v135(constB35)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33028,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB35) | v142(constB35) | (~v135(constB35))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33027, 33026])).
% 39.83/26.24 tff(33029,plain,
% 39.83/26.24 (v142(constB35) | (~v135(constB35))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33028, 17028, 33025])).
% 39.83/26.24 tff(33030,plain,
% 39.83/26.24 (~v135(constB35)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33029, 33021])).
% 39.83/26.24 tff(33031,plain,
% 39.83/26.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33032,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33033,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33032, 33031])).
% 39.83/26.24 tff(33034,plain,
% 39.83/26.24 (v135(constB35) | (~v137(constB36))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33033, 17043, 4496])).
% 39.83/26.24 tff(33035,plain,
% 39.83/26.24 (~v137(constB36)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33034, 33030])).
% 39.83/26.24 tff(33036,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB36) | (~v138(constB36)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB36) | (~v138(constB36)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33037,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB36) | (~v138(constB36)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33038,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB36) | (~v138(constB36))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33037, 33036])).
% 39.83/26.24 tff(33039,plain,
% 39.83/26.24 (~v138(constB36)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33038, 17055, 33035])).
% 39.83/26.24 tff(33040,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB36) | (~v144(constB36)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB36) | (~v144(constB36)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33041,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB36) | (~v144(constB36)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33042,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB36) | (~v144(constB36))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33041, 33040])).
% 39.83/26.24 tff(33043,plain,
% 39.83/26.24 (~v144(constB36)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33042, 17077, 25030])).
% 39.83/26.24 tff(33044,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB36) | (~v142(constB36)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB36) | (~v142(constB36)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33045,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB36) | (~v142(constB36)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33046,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB36) | (~v142(constB36))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33045, 33044])).
% 39.83/26.24 tff(33047,plain,
% 39.83/26.24 (~v142(constB36)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33046, 17014, 33043])).
% 39.83/26.24 tff(33048,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB36) | v142(constB36) | (~v135(constB36)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB36) | v142(constB36) | (~v135(constB36)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33049,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB36) | v142(constB36) | (~v135(constB36)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33050,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB36) | v142(constB36) | (~v135(constB36))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 39.83/26.24 tff(33051,plain,
% 39.83/26.24 (v138(constB36) | (~v135(constB36))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33050, 17028, 33047])).
% 39.83/26.24 tff(33052,plain,
% 39.83/26.24 (~v135(constB36)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33051, 33039])).
% 39.83/26.24 tff(33053,plain,
% 39.83/26.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33054,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33055,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33054, 33053])).
% 39.83/26.24 tff(33056,plain,
% 39.83/26.24 (v135(constB36) | (~v137(constB37))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33055, 17043, 4588])).
% 39.83/26.24 tff(33057,plain,
% 39.83/26.24 (~v137(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33056, 33052])).
% 39.83/26.24 tff(33058,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB37) | (~v154(constB37)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB37) | (~v154(constB37)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33059,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB37) | (~v154(constB37)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33060,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB37) | (~v154(constB37))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33059, 33058])).
% 39.83/26.24 tff(33061,plain,
% 39.83/26.24 (~v154(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33060, 17105, 33057])).
% 39.83/26.24 tff(33062,assumption,(v18(constB38)), introduced(assumption)).
% 39.83/26.24 tff(33063,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB38))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33064,plain,
% 39.83/26.24 ($false),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33063, 8, 33062])).
% 39.83/26.24 tff(33065,plain,(~v18(constB38)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.24 tff(33066,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33067,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33068,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33067, 33066])).
% 39.83/26.24 tff(33069,plain,
% 39.83/26.24 (v22(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33068, 21, 4751])).
% 39.83/26.24 tff(33070,plain,
% 39.83/26.24 (((~![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))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33071,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB38)) | (~v22(constB38)) | v18(constB38))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33072,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB38)) | (~v22(constB38)) | v18(constB38)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33071, 33070])).
% 39.83/26.24 tff(33073,plain,
% 39.83/26.24 ((~v19(constB38)) | v18(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33072, 35, 33069])).
% 39.83/26.24 tff(33074,plain,
% 39.83/26.24 (~v19(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33073, 33065])).
% 39.83/26.24 tff(33075,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33076,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33077,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 39.83/26.24 tff(33078,plain,
% 39.83/26.24 (v13(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33077, 50, 33074])).
% 39.83/26.24 tff(33079,plain,
% 39.83/26.24 (((~![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))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33080,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33081,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33080, 33079])).
% 39.83/26.24 tff(33082,plain,
% 39.83/26.24 ((~v13(constB38)) | v9(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33081, 67, 4731])).
% 39.83/26.24 tff(33083,plain,
% 39.83/26.24 (v9(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33082, 33078])).
% 39.83/26.24 tff(33084,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v141(constB37))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB37) | (~v9(constB37)) | v141(constB37))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33085,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v141(constB37))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33086,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB37) | (~v9(constB37)) | v141(constB37)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33085, 33084])).
% 39.83/26.24 tff(33087,plain,
% 39.83/26.24 ((~v9(constB37)) | v141(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33086, 85, 4585])).
% 39.83/26.24 tff(33088,plain,
% 39.83/26.24 (v141(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33087, 33083])).
% 39.83/26.24 tff(33089,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB37) | (~v141(constB37)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB37) | (~v141(constB37)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33090,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB37) | (~v141(constB37)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33091,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB37) | (~v141(constB37))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33090, 33089])).
% 39.83/26.24 tff(33092,plain,
% 39.83/26.24 (v140(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33091, 97, 33088])).
% 39.83/26.24 tff(33093,plain,
% 39.83/26.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB37)) | (~v153(constB37)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB37)) | (~v153(constB37)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33094,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB37)) | (~v153(constB37)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33095,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB37)) | (~v153(constB37))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33094, 33093])).
% 39.83/26.24 tff(33096,plain,
% 39.83/26.24 (~v153(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33095, 17156, 33092])).
% 39.83/26.24 tff(33097,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB37) | v154(constB37) | (~v150(constB37)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB37) | v154(constB37) | (~v150(constB37)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33098,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB37) | v154(constB37) | (~v150(constB37)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33099,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB37) | v154(constB37) | (~v150(constB37))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33098, 33097])).
% 39.83/26.24 tff(33100,plain,
% 39.83/26.24 (v154(constB37) | (~v150(constB37))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33099, 17170, 33096])).
% 39.83/26.24 tff(33101,plain,
% 39.83/26.24 (~v150(constB37)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33100, 33061])).
% 39.83/26.24 tff(33102,plain,
% 39.83/26.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33103,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33104,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33103, 33102])).
% 39.83/26.24 tff(33105,plain,
% 39.83/26.24 (v150(constB37) | (~v152(constB38))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33104, 17185, 4731])).
% 39.83/26.24 tff(33106,plain,
% 39.83/26.24 (~v152(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33105, 33101])).
% 39.83/26.24 tff(33107,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB38) | (~v153(constB38)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB38) | (~v153(constB38)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33108,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB38) | (~v153(constB38)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33109,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB38) | (~v153(constB38))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33108, 33107])).
% 39.83/26.24 tff(33110,plain,
% 39.83/26.24 (~v153(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33109, 17197, 33106])).
% 39.83/26.24 tff(33111,plain,
% 39.83/26.24 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB38)) | (~v141(constB38)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB38)) | (~v141(constB38)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33112,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB38)) | (~v141(constB38)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33113,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB38)) | (~v141(constB38))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33112, 33111])).
% 39.83/26.24 tff(33114,plain,
% 39.83/26.24 (~v141(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33113, 17066, 4751])).
% 39.83/26.24 tff(33115,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB38) | (~v155(constB38)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB38) | (~v155(constB38)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33116,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB38) | (~v155(constB38)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33117,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB38) | (~v155(constB38))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33116, 33115])).
% 39.83/26.24 tff(33118,plain,
% 39.83/26.24 (~v155(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33117, 17212, 33114])).
% 39.83/26.24 tff(33119,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB38) | (~v154(constB38)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB38) | (~v154(constB38)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33120,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB38) | (~v154(constB38)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33121,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB38) | (~v154(constB38))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33120, 33119])).
% 39.83/26.24 tff(33122,plain,
% 39.83/26.24 (~v154(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33121, 17223, 33118])).
% 39.83/26.24 tff(33123,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB38) | v154(constB38) | (~v150(constB38)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB38) | v154(constB38) | (~v150(constB38)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33124,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB38) | v154(constB38) | (~v150(constB38)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33125,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB38) | v154(constB38) | (~v150(constB38))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33124, 33123])).
% 39.83/26.24 tff(33126,plain,
% 39.83/26.24 (v153(constB38) | (~v150(constB38))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33125, 17170, 33122])).
% 39.83/26.24 tff(33127,plain,
% 39.83/26.24 (~v150(constB38)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33126, 33110])).
% 39.83/26.24 tff(33128,plain,
% 39.83/26.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33129,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33130,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33129, 33128])).
% 39.83/26.24 tff(33131,plain,
% 39.83/26.24 (v150(constB38) | (~v152(constB39))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33130, 17185, 4800])).
% 39.83/26.24 tff(33132,plain,
% 39.83/26.24 (~v152(constB39)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33131, 33127])).
% 39.83/26.24 tff(33133,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB39) | (~v164(constB39)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB39) | (~v164(constB39)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33134,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB39) | (~v164(constB39)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33135,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB39) | (~v164(constB39))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33134, 33133])).
% 39.83/26.24 tff(33136,plain,
% 39.83/26.24 (~v164(constB39)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33135, 17247, 33132])).
% 39.83/26.24 tff(33137,plain,
% 39.83/26.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB39)) | (~v163(constB39)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB39)) | (~v163(constB39)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33138,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB39)) | (~v163(constB39)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33139,plain,
% 39.83/26.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB39)) | (~v163(constB39))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33138, 33137])).
% 39.83/26.24 tff(33140,plain,
% 39.83/26.24 (~v163(constB39)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33139, 17298, 31605])).
% 39.83/26.24 tff(33141,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB39)) | v163(constB39) | v164(constB39))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB39)) | v163(constB39) | v164(constB39))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33142,plain,
% 39.83/26.24 ((v164(constB39) | v163(constB39) | (~v160(constB39))) <=> ((~v160(constB39)) | v163(constB39) | v164(constB39))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33143,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB39) | v163(constB39) | (~v160(constB39)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB39)) | v163(constB39) | v164(constB39)))),
% 39.83/26.24 inference(monotonicity,[status(thm)],[33142])).
% 39.83/26.24 tff(33144,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB39) | v163(constB39) | (~v160(constB39)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB39)) | v163(constB39) | v164(constB39))),
% 39.83/26.24 inference(transitivity,[status(thm)],[33143, 33141])).
% 39.83/26.24 tff(33145,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB39) | v163(constB39) | (~v160(constB39)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33146,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB39)) | v163(constB39) | v164(constB39)),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33145, 33144])).
% 39.83/26.24 tff(33147,plain,
% 39.83/26.24 ((~v160(constB39)) | v164(constB39)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33146, 17312, 33140])).
% 39.83/26.24 tff(33148,plain,
% 39.83/26.24 (~v160(constB39)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33147, 33136])).
% 39.83/26.24 tff(33149,plain,
% 39.83/26.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33150,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33151,plain,
% 39.83/26.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33150, 33149])).
% 39.83/26.24 tff(33152,plain,
% 39.83/26.24 (v160(constB39) | (~v162(constB40))),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33151, 17330, 4929])).
% 39.83/26.24 tff(33153,plain,
% 39.83/26.24 (~v162(constB40)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33152, 33148])).
% 39.83/26.24 tff(33154,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB40) | (~v163(constB40)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB40) | (~v163(constB40)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33155,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB40) | (~v163(constB40)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33156,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB40) | (~v163(constB40))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33155, 33154])).
% 39.83/26.24 tff(33157,plain,
% 39.83/26.24 (~v163(constB40)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33156, 17342, 33153])).
% 39.83/26.24 tff(33158,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB40) | (~v155(constB40)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB40) | (~v155(constB40)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33159,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB40) | (~v155(constB40)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33160,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB40) | (~v155(constB40))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33159, 33158])).
% 39.83/26.24 tff(33161,plain,
% 39.83/26.24 (~v155(constB40)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33160, 17212, 31627])).
% 39.83/26.24 tff(33162,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB40) | (~v164(constB40)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB40) | (~v164(constB40)))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33163,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB40) | (~v164(constB40)))),
% 39.83/26.24 inference(quant_inst,[status(thm)],[])).
% 39.83/26.24 tff(33164,plain,
% 39.83/26.24 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB40) | (~v164(constB40))),
% 39.83/26.24 inference(modus_ponens,[status(thm)],[33163, 33162])).
% 39.83/26.24 tff(33165,plain,
% 39.83/26.24 (~v164(constB40)),
% 39.83/26.24 inference(unit_resolution,[status(thm)],[33164, 17361, 33161])).
% 39.83/26.24 tff(33166,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB40)) | v164(constB40) | v163(constB40))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB40)) | v164(constB40) | v163(constB40))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33167,plain,
% 39.83/26.24 ((v164(constB40) | v163(constB40) | (~v160(constB40))) <=> ((~v160(constB40)) | v164(constB40) | v163(constB40))),
% 39.83/26.24 inference(rewrite,[status(thm)],[])).
% 39.83/26.24 tff(33168,plain,
% 39.83/26.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB40) | v163(constB40) | (~v160(constB40)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB40)) | v164(constB40) | v163(constB40)))),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33167])).
% 39.83/26.25 tff(33169,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB40) | v163(constB40) | (~v160(constB40)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB40)) | v164(constB40) | v163(constB40))),
% 39.83/26.25 inference(transitivity,[status(thm)],[33168, 33166])).
% 39.83/26.25 tff(33170,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB40) | v163(constB40) | (~v160(constB40)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33171,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB40)) | v164(constB40) | v163(constB40)),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33170, 33169])).
% 39.83/26.25 tff(33172,plain,
% 39.83/26.25 ((~v160(constB40)) | v163(constB40)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33171, 17312, 33165])).
% 39.83/26.25 tff(33173,plain,
% 39.83/26.25 (~v160(constB40)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33172, 33157])).
% 39.83/26.25 tff(33174,plain,
% 39.83/26.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33175,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33176,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33175, 33174])).
% 39.83/26.25 tff(33177,plain,
% 39.83/26.25 (v160(constB40) | (~v162(constB41))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33176, 17330, 4994])).
% 39.83/26.25 tff(33178,plain,
% 39.83/26.25 (~v162(constB41)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33177, 33173])).
% 39.83/26.25 tff(33179,plain,
% 39.83/26.25 ($false),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33178, 33013])).
% 39.83/26.25 tff(33180,plain,(~(constB41 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.25 tff(33181,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.25 tff(33182,plain,
% 39.83/26.25 (v162(constB47) <=> v162(sK0_VarCurr)),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33181])).
% 39.83/26.25 tff(33183,plain,
% 39.83/26.25 (v162(sK0_VarCurr) <=> v162(constB47)),
% 39.83/26.25 inference(symmetry,[status(thm)],[33182])).
% 39.83/26.25 tff(33184,plain,
% 39.83/26.25 (v162(constB47)),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[17398, 33183])).
% 39.83/26.25 tff(33185,plain,
% 39.83/26.25 (~v145(constB41)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[5188, 1116, 5046])).
% 39.83/26.25 tff(33186,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB41) | (~v144(constB41)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB41) | (~v144(constB41)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33187,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB41) | (~v144(constB41)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33188,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB41) | (~v144(constB41))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33187, 33186])).
% 39.83/26.25 tff(33189,plain,
% 39.83/26.25 (~v144(constB41)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33188, 17003, 33185])).
% 39.83/26.25 tff(33190,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB41) | (~v142(constB41)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB41) | (~v142(constB41)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33191,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB41) | (~v142(constB41)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33192,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB41) | (~v142(constB41))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33191, 33190])).
% 39.83/26.25 tff(33193,plain,
% 39.83/26.25 (~v142(constB41)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33192, 17014, 33189])).
% 39.83/26.25 tff(33194,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB41) | (~v138(constB41)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB41) | (~v138(constB41)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33195,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB41) | (~v138(constB41)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33196,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB41) | (~v138(constB41))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33195, 33194])).
% 39.83/26.25 tff(33197,plain,
% 39.83/26.25 (~v138(constB41)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33196, 17055, 31645])).
% 39.83/26.25 tff(33198,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB41) | v142(constB41) | (~v135(constB41)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB41) | v142(constB41) | (~v135(constB41)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33199,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB41) | v142(constB41) | (~v135(constB41)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33200,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB41) | v142(constB41) | (~v135(constB41))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33199, 33198])).
% 39.83/26.25 tff(33201,plain,
% 39.83/26.25 (v142(constB41) | (~v135(constB41))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33200, 17028, 33197])).
% 39.83/26.25 tff(33202,plain,
% 39.83/26.25 (~v135(constB41)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33201, 33193])).
% 39.83/26.25 tff(33203,plain,
% 39.83/26.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33204,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33205,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33204, 33203])).
% 39.83/26.25 tff(33206,plain,
% 39.83/26.25 (v135(constB41) | (~v137(constB42))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33205, 17043, 5113])).
% 39.83/26.25 tff(33207,plain,
% 39.83/26.25 (~v137(constB42)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33206, 33202])).
% 39.83/26.25 tff(33208,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB42) | (~v138(constB42)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB42) | (~v138(constB42)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33209,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB42) | (~v138(constB42)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33210,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB42) | (~v138(constB42))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33209, 33208])).
% 39.83/26.25 tff(33211,plain,
% 39.83/26.25 (~v138(constB42)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33210, 17055, 33207])).
% 39.83/26.25 tff(33212,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB42) | (~v144(constB42)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB42) | (~v144(constB42)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33213,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB42) | (~v144(constB42)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33214,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB42) | (~v144(constB42))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33213, 33212])).
% 39.83/26.25 tff(33215,plain,
% 39.83/26.25 (~v144(constB42)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33214, 17077, 31667])).
% 39.83/26.25 tff(33216,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB42) | (~v142(constB42)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB42) | (~v142(constB42)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33217,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB42) | (~v142(constB42)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33218,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB42) | (~v142(constB42))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33217, 33216])).
% 39.83/26.25 tff(33219,plain,
% 39.83/26.25 (~v142(constB42)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33218, 17014, 33215])).
% 39.83/26.25 tff(33220,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB42) | v142(constB42) | (~v135(constB42)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB42) | v142(constB42) | (~v135(constB42)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33221,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB42) | v142(constB42) | (~v135(constB42)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33222,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB42) | v142(constB42) | (~v135(constB42))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33221, 33220])).
% 39.83/26.25 tff(33223,plain,
% 39.83/26.25 (v138(constB42) | (~v135(constB42))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33222, 17028, 33219])).
% 39.83/26.25 tff(33224,plain,
% 39.83/26.25 (~v135(constB42)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33223, 33211])).
% 39.83/26.25 tff(33225,plain,
% 39.83/26.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33226,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33227,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 39.83/26.25 tff(33228,plain,
% 39.83/26.25 (v135(constB42) | (~v137(constB43))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33227, 17043, 5234])).
% 39.83/26.25 tff(33229,plain,
% 39.83/26.25 (~v137(constB43)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33228, 33224])).
% 39.83/26.25 tff(33230,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB43) | (~v154(constB43)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB43) | (~v154(constB43)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33231,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB43) | (~v154(constB43)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33232,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB43) | (~v154(constB43))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33231, 33230])).
% 39.83/26.25 tff(33233,plain,
% 39.83/26.25 (~v154(constB43)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33232, 17105, 33229])).
% 39.83/26.25 tff(33234,plain,
% 39.83/26.25 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB43)) | (~v153(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB43)) | (~v153(constB43)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33235,plain,
% 39.83/26.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB43)) | (~v153(constB43)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33236,plain,
% 39.83/26.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB43)) | (~v153(constB43))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33235, 33234])).
% 39.83/26.25 tff(33237,plain,
% 39.83/26.25 (~v153(constB43)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33236, 17156, 31720])).
% 39.83/26.25 tff(33238,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB43) | v154(constB43) | (~v150(constB43)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB43) | v154(constB43) | (~v150(constB43)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33239,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB43) | v154(constB43) | (~v150(constB43)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33240,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB43) | v154(constB43) | (~v150(constB43))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33239, 33238])).
% 39.83/26.25 tff(33241,plain,
% 39.83/26.25 (v154(constB43) | (~v150(constB43))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33240, 17170, 33237])).
% 39.83/26.25 tff(33242,plain,
% 39.83/26.25 (~v150(constB43)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33241, 33233])).
% 39.83/26.25 tff(33243,plain,
% 39.83/26.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33244,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33245,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33244, 33243])).
% 39.83/26.25 tff(33246,plain,
% 39.83/26.25 (v150(constB43) | (~v152(constB44))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33245, 17185, 5353])).
% 39.83/26.25 tff(33247,plain,
% 39.83/26.25 (~v152(constB44)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33246, 33242])).
% 39.83/26.25 tff(33248,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB44) | (~v153(constB44)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB44) | (~v153(constB44)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33249,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB44) | (~v153(constB44)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33250,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB44) | (~v153(constB44))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33249, 33248])).
% 39.83/26.25 tff(33251,plain,
% 39.83/26.25 (~v153(constB44)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33250, 17197, 33247])).
% 39.83/26.25 tff(33252,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB44) | (~v154(constB44)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB44) | (~v154(constB44)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33253,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB44) | (~v154(constB44)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33254,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB44) | (~v154(constB44))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33253, 33252])).
% 39.83/26.25 tff(33255,plain,
% 39.83/26.25 (~v154(constB44)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33254, 17223, 31749])).
% 39.83/26.25 tff(33256,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB44) | v154(constB44) | (~v150(constB44)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB44) | v154(constB44) | (~v150(constB44)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33257,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB44) | v154(constB44) | (~v150(constB44)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33258,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB44) | v154(constB44) | (~v150(constB44))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33257, 33256])).
% 39.83/26.25 tff(33259,plain,
% 39.83/26.25 (v153(constB44) | (~v150(constB44))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33258, 17170, 33255])).
% 39.83/26.25 tff(33260,plain,
% 39.83/26.25 (~v150(constB44)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33259, 33251])).
% 39.83/26.25 tff(33261,plain,
% 39.83/26.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33262,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33263,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33262, 33261])).
% 39.83/26.25 tff(33264,plain,
% 39.83/26.25 (v150(constB44) | (~v152(constB45))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33263, 17185, 5415])).
% 39.83/26.25 tff(33265,plain,
% 39.83/26.25 (~v152(constB45)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33264, 33260])).
% 39.83/26.25 tff(33266,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB45) | (~v164(constB45)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB45) | (~v164(constB45)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33267,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB45) | (~v164(constB45)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33268,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB45) | (~v164(constB45))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33267, 33266])).
% 39.83/26.25 tff(33269,plain,
% 39.83/26.25 (~v164(constB45)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33268, 17247, 33265])).
% 39.83/26.25 tff(33270,plain,
% 39.83/26.25 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB45)) | (~v163(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB45)) | (~v163(constB45)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33271,plain,
% 39.83/26.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB45)) | (~v163(constB45)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33272,plain,
% 39.83/26.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB45)) | (~v163(constB45))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33271, 33270])).
% 39.83/26.25 tff(33273,plain,
% 39.83/26.25 (~v163(constB45)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33272, 17298, 32141])).
% 39.83/26.25 tff(33274,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB45)) | v163(constB45) | v164(constB45))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB45)) | v163(constB45) | v164(constB45))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33275,plain,
% 39.83/26.25 ((v164(constB45) | v163(constB45) | (~v160(constB45))) <=> ((~v160(constB45)) | v163(constB45) | v164(constB45))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33276,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB45) | v163(constB45) | (~v160(constB45)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB45)) | v163(constB45) | v164(constB45)))),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33275])).
% 39.83/26.25 tff(33277,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB45) | v163(constB45) | (~v160(constB45)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB45)) | v163(constB45) | v164(constB45))),
% 39.83/26.25 inference(transitivity,[status(thm)],[33276, 33274])).
% 39.83/26.25 tff(33278,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB45) | v163(constB45) | (~v160(constB45)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33279,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB45)) | v163(constB45) | v164(constB45)),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33278, 33277])).
% 39.83/26.25 tff(33280,plain,
% 39.83/26.25 ((~v160(constB45)) | v164(constB45)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33279, 17312, 33273])).
% 39.83/26.25 tff(33281,plain,
% 39.83/26.25 (~v160(constB45)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33280, 33269])).
% 39.83/26.25 tff(33282,plain,
% 39.83/26.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33283,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33284,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33283, 33282])).
% 39.83/26.25 tff(33285,plain,
% 39.83/26.25 (v160(constB45) | (~v162(constB46))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33284, 17330, 5638])).
% 39.83/26.25 tff(33286,plain,
% 39.83/26.25 (~v162(constB46)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33285, 33281])).
% 39.83/26.25 tff(33287,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB46) | (~v163(constB46)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB46) | (~v163(constB46)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33288,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB46) | (~v163(constB46)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33289,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB46) | (~v163(constB46))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33288, 33287])).
% 39.83/26.25 tff(33290,plain,
% 39.83/26.25 (~v163(constB46)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33289, 17342, 33286])).
% 39.83/26.25 tff(33291,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB46) | (~v164(constB46)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB46) | (~v164(constB46)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33292,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB46) | (~v164(constB46)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33293,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB46) | (~v164(constB46))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33292, 33291])).
% 39.83/26.25 tff(33294,plain,
% 39.83/26.25 (~v164(constB46)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33293, 17361, 32167])).
% 39.83/26.25 tff(33295,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB46)) | v164(constB46) | v163(constB46))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB46)) | v164(constB46) | v163(constB46))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33296,plain,
% 39.83/26.25 ((v164(constB46) | v163(constB46) | (~v160(constB46))) <=> ((~v160(constB46)) | v164(constB46) | v163(constB46))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33297,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB46) | v163(constB46) | (~v160(constB46)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB46)) | v164(constB46) | v163(constB46)))),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33296])).
% 39.83/26.25 tff(33298,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB46) | v163(constB46) | (~v160(constB46)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB46)) | v164(constB46) | v163(constB46))),
% 39.83/26.25 inference(transitivity,[status(thm)],[33297, 33295])).
% 39.83/26.25 tff(33299,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB46) | v163(constB46) | (~v160(constB46)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33300,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB46)) | v164(constB46) | v163(constB46)),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33299, 33298])).
% 39.83/26.25 tff(33301,plain,
% 39.83/26.25 ((~v160(constB46)) | v163(constB46)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33300, 17312, 33294])).
% 39.83/26.25 tff(33302,plain,
% 39.83/26.25 (~v160(constB46)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33301, 33290])).
% 39.83/26.25 tff(33303,plain,
% 39.83/26.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33304,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33305,plain,
% 39.83/26.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33304, 33303])).
% 39.83/26.25 tff(33306,plain,
% 39.83/26.25 (v160(constB46) | (~v162(constB47))),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33305, 17330, 5748])).
% 39.83/26.25 tff(33307,plain,
% 39.83/26.25 (~v162(constB47)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33306, 33302])).
% 39.83/26.25 tff(33308,plain,
% 39.83/26.25 ($false),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33307, 33184])).
% 39.83/26.25 tff(33309,plain,(~(constB47 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.25 tff(33310,assumption,(constB140 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.25 tff(33311,plain,
% 39.83/26.25 (v1(constB140) <=> v1(sK0_VarCurr)),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33310])).
% 39.83/26.25 tff(33312,plain,
% 39.83/26.25 (v1(sK0_VarCurr) <=> v1(constB140)),
% 39.83/26.25 inference(symmetry,[status(thm)],[33311])).
% 39.83/26.25 tff(33313,plain,
% 39.83/26.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB140))),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33312])).
% 39.83/26.25 tff(33314,plain,
% 39.83/26.25 (~v1(constB140)),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[23858, 33313])).
% 39.83/26.25 tff(33315,plain,
% 39.83/26.25 ($false),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[16143, 33314])).
% 39.83/26.25 tff(33316,plain,(~(constB140 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.25 tff(33317,assumption,(constB94 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.25 tff(33318,plain,
% 39.83/26.25 (v1(constB94) <=> v1(sK0_VarCurr)),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33317])).
% 39.83/26.25 tff(33319,plain,
% 39.83/26.25 (v1(sK0_VarCurr) <=> v1(constB94)),
% 39.83/26.25 inference(symmetry,[status(thm)],[33318])).
% 39.83/26.25 tff(33320,plain,
% 39.83/26.25 ((~v1(sK0_VarCurr)) <=> (~v1(constB94))),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33319])).
% 39.83/26.25 tff(33321,plain,
% 39.83/26.25 (~v1(constB94)),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[23858, 33320])).
% 39.83/26.25 tff(33322,plain,
% 39.83/26.25 ($false),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[11359, 33321])).
% 39.83/26.25 tff(33323,plain,(~(constB94 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.25 tff(33324,assumption,(constB107 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.25 tff(33325,plain,
% 39.83/26.25 (v162(constB107) <=> v162(sK0_VarCurr)),
% 39.83/26.25 inference(monotonicity,[status(thm)],[33324])).
% 39.83/26.25 tff(33326,plain,
% 39.83/26.25 (v162(sK0_VarCurr) <=> v162(constB107)),
% 39.83/26.25 inference(symmetry,[status(thm)],[33325])).
% 39.83/26.25 tff(33327,plain,
% 39.83/26.25 (v162(constB107)),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[17398, 33326])).
% 39.83/26.25 tff(33328,plain,
% 39.83/26.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB101, bitIndex1)) | (~v145(constB101)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33329,plain,
% 39.83/26.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v145(constB101)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33330,plain,
% 39.83/26.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB101, bitIndex1)) | (~v145(constB101))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33329, 33328])).
% 39.83/26.25 tff(33331,plain,
% 39.83/26.25 (~v145(constB101)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33330, 1116, 12056])).
% 39.83/26.25 tff(33332,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB101) | (~v144(constB101)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB101) | (~v144(constB101)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33333,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB101) | (~v144(constB101)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33334,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB101) | (~v144(constB101))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33333, 33332])).
% 39.83/26.25 tff(33335,plain,
% 39.83/26.25 (~v144(constB101)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33334, 17003, 33331])).
% 39.83/26.25 tff(33336,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB101) | (~v142(constB101)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33337,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB101) | (~v142(constB101)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33338,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB101) | (~v142(constB101))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33337, 33336])).
% 39.83/26.25 tff(33339,plain,
% 39.83/26.25 (~v142(constB101)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33338, 17014, 33335])).
% 39.83/26.25 tff(33340,assumption,(v18(constB102)), introduced(assumption)).
% 39.83/26.25 tff(33341,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB102))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33342,plain,
% 39.83/26.25 ($false),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33341, 8, 33340])).
% 39.83/26.25 tff(33343,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.25 tff(33344,plain,
% 39.83/26.25 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 39.83/26.25 inference(rewrite,[status(thm)],[])).
% 39.83/26.25 tff(33345,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 39.83/26.25 inference(quant_inst,[status(thm)],[])).
% 39.83/26.25 tff(33346,plain,
% 39.83/26.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 39.83/26.25 inference(modus_ponens,[status(thm)],[33345, 33344])).
% 39.83/26.25 tff(33347,plain,
% 39.83/26.25 (v22(constB102)),
% 39.83/26.25 inference(unit_resolution,[status(thm)],[33346, 21, 12309])).
% 39.83/26.25 tff(33348,plain,
% 39.83/26.25 (((~![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))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33349,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33350,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102)),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33349, 33348])).
% 39.83/26.26 tff(33351,plain,
% 39.83/26.26 ((~v19(constB102)) | v18(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33350, 35, 33347])).
% 39.83/26.26 tff(33352,plain,
% 39.83/26.26 (~v19(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33351, 33343])).
% 39.83/26.26 tff(33353,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33354,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33355,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33354, 33353])).
% 39.83/26.26 tff(33356,plain,
% 39.83/26.26 (v13(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33355, 50, 33352])).
% 39.83/26.26 tff(33357,plain,
% 39.83/26.26 (((~![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))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33358,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33359,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101)),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33358, 33357])).
% 39.83/26.26 tff(33360,plain,
% 39.83/26.26 ((~v13(constB102)) | v9(constB101)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33359, 67, 12107])).
% 39.83/26.26 tff(33361,plain,
% 39.83/26.26 (v9(constB101)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33360, 33356])).
% 39.83/26.26 tff(33362,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v141(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB101) | (~v9(constB101)) | v141(constB101))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33363,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v141(constB101))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33364,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB101) | (~v9(constB101)) | v141(constB101)),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33363, 33362])).
% 39.83/26.26 tff(33365,plain,
% 39.83/26.26 ((~v9(constB101)) | v141(constB101)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33364, 85, 12001])).
% 39.83/26.26 tff(33366,plain,
% 39.83/26.26 (v141(constB101)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33365, 33361])).
% 39.83/26.26 tff(33367,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB101) | (~v141(constB101)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB101) | (~v141(constB101)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33368,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB101) | (~v141(constB101)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33369,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB101) | (~v141(constB101))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33368, 33367])).
% 39.83/26.26 tff(33370,plain,
% 39.83/26.26 (v140(constB101)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33369, 97, 33366])).
% 39.83/26.26 tff(33371,plain,
% 39.83/26.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB101)) | (~v138(constB101)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB101)) | (~v138(constB101)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33372,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB101)) | (~v138(constB101)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33373,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB101)) | (~v138(constB101))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33372, 33371])).
% 39.83/26.26 tff(33374,plain,
% 39.83/26.26 (~v138(constB101)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33373, 108, 33370])).
% 39.83/26.26 tff(33375,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB101) | v142(constB101) | (~v135(constB101)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB101) | v142(constB101) | (~v135(constB101)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33376,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB101) | v142(constB101) | (~v135(constB101)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33377,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB101) | v142(constB101) | (~v135(constB101))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33376, 33375])).
% 39.83/26.26 tff(33378,plain,
% 39.83/26.26 (v142(constB101) | (~v135(constB101))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33377, 17028, 33374])).
% 39.83/26.26 tff(33379,plain,
% 39.83/26.26 (~v135(constB101)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33378, 33339])).
% 39.83/26.26 tff(33380,plain,
% 39.83/26.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33381,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33382,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33381, 33380])).
% 39.83/26.26 tff(33383,plain,
% 39.83/26.26 (v135(constB101) | (~v137(constB102))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33382, 17043, 12107])).
% 39.83/26.26 tff(33384,plain,
% 39.83/26.26 (~v137(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33383, 33379])).
% 39.83/26.26 tff(33385,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB102) | (~v138(constB102)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB102) | (~v138(constB102)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33386,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB102) | (~v138(constB102)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33387,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB102) | (~v138(constB102))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33386, 33385])).
% 39.83/26.26 tff(33388,plain,
% 39.83/26.26 (~v138(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33387, 17055, 33384])).
% 39.83/26.26 tff(33389,plain,
% 39.83/26.26 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB102)) | (~v141(constB102)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB102)) | (~v141(constB102)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33390,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB102)) | (~v141(constB102)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33391,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB102)) | (~v141(constB102))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33390, 33389])).
% 39.83/26.26 tff(33392,plain,
% 39.83/26.26 (~v141(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33391, 17066, 12309])).
% 39.83/26.26 tff(33393,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB102) | (~v144(constB102)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB102) | (~v144(constB102)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33394,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB102) | (~v144(constB102)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33395,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB102) | (~v144(constB102))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33394, 33393])).
% 39.83/26.26 tff(33396,plain,
% 39.83/26.26 (~v144(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33395, 17077, 33392])).
% 39.83/26.26 tff(33397,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB102) | (~v142(constB102)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB102) | (~v142(constB102)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33398,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB102) | (~v142(constB102)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33399,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB102) | (~v142(constB102))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33398, 33397])).
% 39.83/26.26 tff(33400,plain,
% 39.83/26.26 (~v142(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33399, 17014, 33396])).
% 39.83/26.26 tff(33401,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB102) | v142(constB102) | (~v135(constB102)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB102) | v142(constB102) | (~v135(constB102)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33402,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB102) | v142(constB102) | (~v135(constB102)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33403,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB102) | v142(constB102) | (~v135(constB102))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33402, 33401])).
% 39.83/26.26 tff(33404,plain,
% 39.83/26.26 (v138(constB102) | (~v135(constB102))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33403, 17028, 33400])).
% 39.83/26.26 tff(33405,plain,
% 39.83/26.26 (~v135(constB102)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33404, 33388])).
% 39.83/26.26 tff(33406,plain,
% 39.83/26.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33407,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33408,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 39.83/26.26 tff(33409,plain,
% 39.83/26.26 (v135(constB102) | (~v137(constB103))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33408, 17043, 12337])).
% 39.83/26.26 tff(33410,plain,
% 39.83/26.26 (~v137(constB103)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33409, 33405])).
% 39.83/26.26 tff(33411,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB103) | (~v154(constB103)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB103) | (~v154(constB103)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33412,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB103) | (~v154(constB103)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33413,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB103) | (~v154(constB103))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33412, 33411])).
% 39.83/26.26 tff(33414,plain,
% 39.83/26.26 (~v154(constB103)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33413, 17105, 33410])).
% 39.83/26.26 tff(33415,plain,
% 39.83/26.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB103)) | (~v153(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB103)) | (~v153(constB103)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33416,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB103)) | (~v153(constB103)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33417,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB103)) | (~v153(constB103))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33416, 33415])).
% 39.83/26.26 tff(33418,plain,
% 39.83/26.26 (~v153(constB103)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33417, 17156, 28910])).
% 39.83/26.26 tff(33419,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB103) | v154(constB103) | (~v150(constB103)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB103) | v154(constB103) | (~v150(constB103)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33420,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB103) | v154(constB103) | (~v150(constB103)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33421,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB103) | v154(constB103) | (~v150(constB103))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33420, 33419])).
% 39.83/26.26 tff(33422,plain,
% 39.83/26.26 (v154(constB103) | (~v150(constB103))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33421, 17170, 33418])).
% 39.83/26.26 tff(33423,plain,
% 39.83/26.26 (~v150(constB103)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33422, 33414])).
% 39.83/26.26 tff(33424,plain,
% 39.83/26.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33425,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33426,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33425, 33424])).
% 39.83/26.26 tff(33427,plain,
% 39.83/26.26 (v150(constB103) | (~v152(constB104))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33426, 17185, 12461])).
% 39.83/26.26 tff(33428,plain,
% 39.83/26.26 (~v152(constB104)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33427, 33423])).
% 39.83/26.26 tff(33429,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB104) | (~v153(constB104)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB104) | (~v153(constB104)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33430,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB104) | (~v153(constB104)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33431,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB104) | (~v153(constB104))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33430, 33429])).
% 39.83/26.26 tff(33432,plain,
% 39.83/26.26 (~v153(constB104)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33431, 17197, 33428])).
% 39.83/26.26 tff(33433,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB104) | (~v155(constB104)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB104) | (~v155(constB104)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33434,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB104) | (~v155(constB104)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33435,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB104) | (~v155(constB104))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33434, 33433])).
% 39.83/26.26 tff(33436,plain,
% 39.83/26.26 (~v155(constB104)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33435, 17212, 28935])).
% 39.83/26.26 tff(33437,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB104) | (~v154(constB104)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB104) | (~v154(constB104)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33438,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB104) | (~v154(constB104)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33439,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB104) | (~v154(constB104))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33438, 33437])).
% 39.83/26.26 tff(33440,plain,
% 39.83/26.26 (~v154(constB104)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33439, 17223, 33436])).
% 39.83/26.26 tff(33441,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB104) | v154(constB104) | (~v150(constB104)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB104) | v154(constB104) | (~v150(constB104)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33442,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB104) | v154(constB104) | (~v150(constB104)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33443,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB104) | v154(constB104) | (~v150(constB104))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33442, 33441])).
% 39.83/26.26 tff(33444,plain,
% 39.83/26.26 (v153(constB104) | (~v150(constB104))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33443, 17170, 33440])).
% 39.83/26.26 tff(33445,plain,
% 39.83/26.26 (~v150(constB104)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33444, 33432])).
% 39.83/26.26 tff(33446,plain,
% 39.83/26.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33447,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33448,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33447, 33446])).
% 39.83/26.26 tff(33449,plain,
% 39.83/26.26 (v150(constB104) | (~v152(constB105))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33448, 17185, 12523])).
% 39.83/26.26 tff(33450,plain,
% 39.83/26.26 (~v152(constB105)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33449, 33445])).
% 39.83/26.26 tff(33451,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB105) | (~v164(constB105)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB105) | (~v164(constB105)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33452,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB105) | (~v164(constB105)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33453,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB105) | (~v164(constB105))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33452, 33451])).
% 39.83/26.26 tff(33454,plain,
% 39.83/26.26 (~v164(constB105)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33453, 17247, 33450])).
% 39.83/26.26 tff(33455,plain,
% 39.83/26.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB105)) | (~v163(constB105)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB105)) | (~v163(constB105)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33456,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB105)) | (~v163(constB105)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33457,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB105)) | (~v163(constB105))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 39.83/26.26 tff(33458,plain,
% 39.83/26.26 (~v163(constB105)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33457, 17298, 24182])).
% 39.83/26.26 tff(33459,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB105)) | v164(constB105) | v163(constB105))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB105)) | v164(constB105) | v163(constB105))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33460,plain,
% 39.83/26.26 ((v164(constB105) | v163(constB105) | (~v160(constB105))) <=> ((~v160(constB105)) | v164(constB105) | v163(constB105))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33461,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB105) | v163(constB105) | (~v160(constB105)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB105)) | v164(constB105) | v163(constB105)))),
% 39.83/26.26 inference(monotonicity,[status(thm)],[33460])).
% 39.83/26.26 tff(33462,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB105) | v163(constB105) | (~v160(constB105)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB105)) | v164(constB105) | v163(constB105))),
% 39.83/26.26 inference(transitivity,[status(thm)],[33461, 33459])).
% 39.83/26.26 tff(33463,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB105) | v163(constB105) | (~v160(constB105)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33464,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB105)) | v164(constB105) | v163(constB105)),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33463, 33462])).
% 39.83/26.26 tff(33465,plain,
% 39.83/26.26 ((~v160(constB105)) | v164(constB105)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33464, 17312, 33458])).
% 39.83/26.26 tff(33466,plain,
% 39.83/26.26 (~v160(constB105)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33465, 33454])).
% 39.83/26.26 tff(33467,plain,
% 39.83/26.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33468,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33469,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33468, 33467])).
% 39.83/26.26 tff(33470,plain,
% 39.83/26.26 (v160(constB105) | (~v162(constB106))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33469, 17330, 12636])).
% 39.83/26.26 tff(33471,plain,
% 39.83/26.26 (~v162(constB106)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33470, 33466])).
% 39.83/26.26 tff(33472,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB106) | (~v163(constB106)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB106) | (~v163(constB106)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33473,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB106) | (~v163(constB106)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33474,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB106) | (~v163(constB106))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33473, 33472])).
% 39.83/26.26 tff(33475,plain,
% 39.83/26.26 (~v163(constB106)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33474, 17342, 33471])).
% 39.83/26.26 tff(33476,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB106) | (~v164(constB106)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB106) | (~v164(constB106)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33477,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB106) | (~v164(constB106)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33478,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB106) | (~v164(constB106))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33477, 33476])).
% 39.83/26.26 tff(33479,plain,
% 39.83/26.26 (~v164(constB106)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33478, 17361, 28979])).
% 39.83/26.26 tff(33480,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB106)) | v164(constB106) | v163(constB106))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB106)) | v164(constB106) | v163(constB106))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33481,plain,
% 39.83/26.26 ((v164(constB106) | v163(constB106) | (~v160(constB106))) <=> ((~v160(constB106)) | v164(constB106) | v163(constB106))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33482,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB106) | v163(constB106) | (~v160(constB106)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB106)) | v164(constB106) | v163(constB106)))),
% 39.83/26.26 inference(monotonicity,[status(thm)],[33481])).
% 39.83/26.26 tff(33483,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB106) | v163(constB106) | (~v160(constB106)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB106)) | v164(constB106) | v163(constB106))),
% 39.83/26.26 inference(transitivity,[status(thm)],[33482, 33480])).
% 39.83/26.26 tff(33484,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB106) | v163(constB106) | (~v160(constB106)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33485,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB106)) | v164(constB106) | v163(constB106)),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33484, 33483])).
% 39.83/26.26 tff(33486,plain,
% 39.83/26.26 ((~v160(constB106)) | v163(constB106)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33485, 17312, 33479])).
% 39.83/26.26 tff(33487,plain,
% 39.83/26.26 (~v160(constB106)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33486, 33475])).
% 39.83/26.26 tff(33488,plain,
% 39.83/26.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33489,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33490,plain,
% 39.83/26.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33489, 33488])).
% 39.83/26.26 tff(33491,plain,
% 39.83/26.26 (v160(constB106) | (~v162(constB107))),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33490, 17330, 12728])).
% 39.83/26.26 tff(33492,plain,
% 39.83/26.26 (~v162(constB107)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33491, 33487])).
% 39.83/26.26 tff(33493,plain,
% 39.83/26.26 ($false),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33492, 33327])).
% 39.83/26.26 tff(33494,plain,(~(constB107 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.26 tff(33495,assumption,(constB101 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.26 tff(33496,plain,
% 39.83/26.26 (v162(constB101) <=> v162(sK0_VarCurr)),
% 39.83/26.26 inference(monotonicity,[status(thm)],[33495])).
% 39.83/26.26 tff(33497,plain,
% 39.83/26.26 (v162(sK0_VarCurr) <=> v162(constB101)),
% 39.83/26.26 inference(symmetry,[status(thm)],[33496])).
% 39.83/26.26 tff(33498,plain,
% 39.83/26.26 (v162(constB101)),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[17398, 33497])).
% 39.83/26.26 tff(33499,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33500,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33501,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33500, 33499])).
% 39.83/26.26 tff(33502,plain,
% 39.83/26.26 (~v144(constB95)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33501, 17003, 11572])).
% 39.83/26.26 tff(33503,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33504,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33505,plain,
% 39.83/26.26 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33504, 33503])).
% 39.83/26.26 tff(33506,plain,
% 39.83/26.26 (~v142(constB95)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33505, 17014, 33502])).
% 39.83/26.26 tff(33507,plain,
% 39.83/26.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB95)) | (~v140(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB95)) | (~v140(constB95)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33508,plain,
% 39.83/26.26 (((~v140(constB95)) | (~v138(constB95))) <=> ((~v138(constB95)) | (~v140(constB95)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33509,plain,
% 39.83/26.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB95)) | (~v138(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB95)) | (~v140(constB95))))),
% 39.83/26.26 inference(monotonicity,[status(thm)],[33508])).
% 39.83/26.26 tff(33510,plain,
% 39.83/26.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB95)) | (~v138(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB95)) | (~v140(constB95)))),
% 39.83/26.26 inference(transitivity,[status(thm)],[33509, 33507])).
% 39.83/26.26 tff(33511,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB95)) | (~v138(constB95)))),
% 39.83/26.26 inference(quant_inst,[status(thm)],[])).
% 39.83/26.26 tff(33512,plain,
% 39.83/26.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB95)) | (~v140(constB95))),
% 39.83/26.26 inference(modus_ponens,[status(thm)],[33511, 33510])).
% 39.83/26.26 tff(33513,plain,
% 39.83/26.26 (~v138(constB95)),
% 39.83/26.26 inference(unit_resolution,[status(thm)],[33512, 108, 23097])).
% 39.83/26.26 tff(33514,plain,
% 39.83/26.26 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB95) | v142(constB95) | (~v135(constB95)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB95) | v142(constB95) | (~v135(constB95)))),
% 39.83/26.26 inference(rewrite,[status(thm)],[])).
% 39.83/26.26 tff(33515,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB95) | v142(constB95) | (~v135(constB95)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33516,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB95) | v142(constB95) | (~v135(constB95))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33515, 33514])).
% 39.83/26.27 tff(33517,plain,
% 39.83/26.27 (v142(constB95) | (~v135(constB95))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33516, 17028, 33513])).
% 39.83/26.27 tff(33518,plain,
% 39.83/26.27 (~v135(constB95)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33517, 33506])).
% 39.83/26.27 tff(33519,plain,
% 39.83/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33520,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33521,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33520, 33519])).
% 39.83/26.27 tff(33522,plain,
% 39.83/26.27 (v135(constB95) | (~v137(constB96))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33521, 17043, 11514])).
% 39.83/26.27 tff(33523,plain,
% 39.83/26.27 (~v137(constB96)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33522, 33518])).
% 39.83/26.27 tff(33524,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB96) | (~v138(constB96)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB96) | (~v138(constB96)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33525,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB96) | (~v138(constB96)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33526,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB96) | (~v138(constB96))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33525, 33524])).
% 39.83/26.27 tff(33527,plain,
% 39.83/26.27 (~v138(constB96)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33526, 17055, 33523])).
% 39.83/26.27 tff(33528,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB96) | (~v144(constB96)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB96) | (~v144(constB96)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33529,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB96) | (~v144(constB96)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33530,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB96) | (~v144(constB96))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33529, 33528])).
% 39.83/26.27 tff(33531,plain,
% 39.83/26.27 (~v144(constB96)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33530, 17077, 23119])).
% 39.83/26.27 tff(33532,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB96) | (~v142(constB96)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB96) | (~v142(constB96)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33533,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB96) | (~v142(constB96)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33534,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB96) | (~v142(constB96))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33533, 33532])).
% 39.83/26.27 tff(33535,plain,
% 39.83/26.27 (~v142(constB96)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33534, 17014, 33531])).
% 39.83/26.27 tff(33536,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB96) | v142(constB96) | (~v135(constB96)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB96) | v142(constB96) | (~v135(constB96)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33537,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB96) | v142(constB96) | (~v135(constB96)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33538,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB96) | v142(constB96) | (~v135(constB96))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33537, 33536])).
% 39.83/26.27 tff(33539,plain,
% 39.83/26.27 (v138(constB96) | (~v135(constB96))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33538, 17028, 33535])).
% 39.83/26.27 tff(33540,plain,
% 39.83/26.27 (~v135(constB96)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33539, 33527])).
% 39.83/26.27 tff(33541,plain,
% 39.83/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33542,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33543,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33542, 33541])).
% 39.83/26.27 tff(33544,plain,
% 39.83/26.27 (v135(constB96) | (~v137(constB97))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33543, 17043, 11606])).
% 39.83/26.27 tff(33545,plain,
% 39.83/26.27 (~v137(constB97)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33544, 33540])).
% 39.83/26.27 tff(33546,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB97) | (~v154(constB97)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB97) | (~v154(constB97)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33547,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB97) | (~v154(constB97)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33548,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB97) | (~v154(constB97))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33547, 33546])).
% 39.83/26.27 tff(33549,plain,
% 39.83/26.27 (~v154(constB97)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33548, 17105, 33545])).
% 39.83/26.27 tff(33550,plain,
% 39.83/26.27 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB97)) | (~v153(constB97)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB97)) | (~v153(constB97)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33551,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB97)) | (~v153(constB97)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33552,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB97)) | (~v153(constB97))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33551, 33550])).
% 39.83/26.27 tff(33553,plain,
% 39.83/26.27 (~v153(constB97)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33552, 17156, 23172])).
% 39.83/26.27 tff(33554,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB97) | v154(constB97) | (~v150(constB97)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB97) | v154(constB97) | (~v150(constB97)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33555,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB97) | v154(constB97) | (~v150(constB97)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33556,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB97) | v154(constB97) | (~v150(constB97))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33555, 33554])).
% 39.83/26.27 tff(33557,plain,
% 39.83/26.27 (v154(constB97) | (~v150(constB97))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33556, 17170, 33553])).
% 39.83/26.27 tff(33558,plain,
% 39.83/26.27 (~v150(constB97)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33557, 33549])).
% 39.83/26.27 tff(33559,plain,
% 39.83/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33560,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33561,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33560, 33559])).
% 39.83/26.27 tff(33562,plain,
% 39.83/26.27 (v150(constB97) | (~v152(constB98))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33561, 17185, 11745])).
% 39.83/26.27 tff(33563,plain,
% 39.83/26.27 (~v152(constB98)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33562, 33558])).
% 39.83/26.27 tff(33564,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB98) | (~v153(constB98)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB98) | (~v153(constB98)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33565,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB98) | (~v153(constB98)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33566,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB98) | (~v153(constB98))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33565, 33564])).
% 39.83/26.27 tff(33567,plain,
% 39.83/26.27 (~v153(constB98)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33566, 17197, 33563])).
% 39.83/26.27 tff(33568,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB98) | (~v154(constB98)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB98) | (~v154(constB98)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33569,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB98) | (~v154(constB98)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33570,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB98) | (~v154(constB98))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33569, 33568])).
% 39.83/26.27 tff(33571,plain,
% 39.83/26.27 (~v154(constB98)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33570, 17223, 23201])).
% 39.83/26.27 tff(33572,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB98) | v154(constB98) | (~v150(constB98)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB98) | v154(constB98) | (~v150(constB98)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33573,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB98) | v154(constB98) | (~v150(constB98)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33574,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB98) | v154(constB98) | (~v150(constB98))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33573, 33572])).
% 39.83/26.27 tff(33575,plain,
% 39.83/26.27 (v153(constB98) | (~v150(constB98))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33574, 17170, 33571])).
% 39.83/26.27 tff(33576,plain,
% 39.83/26.27 (~v150(constB98)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33575, 33567])).
% 39.83/26.27 tff(33577,plain,
% 39.83/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33578,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33579,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33578, 33577])).
% 39.83/26.27 tff(33580,plain,
% 39.83/26.27 (v150(constB98) | (~v152(constB99))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33579, 17185, 11810])).
% 39.83/26.27 tff(33581,plain,
% 39.83/26.27 (~v152(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33580, 33576])).
% 39.83/26.27 tff(33582,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB99) | (~v164(constB99)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB99) | (~v164(constB99)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33583,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB99) | (~v164(constB99)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33584,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB99) | (~v164(constB99))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33583, 33582])).
% 39.83/26.27 tff(33585,plain,
% 39.83/26.27 (~v164(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33584, 17247, 33581])).
% 39.83/26.27 tff(33586,assumption,(v18(constB100)), introduced(assumption)).
% 39.83/26.27 tff(33587,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB100))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33588,plain,
% 39.83/26.27 ($false),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33587, 8, 33586])).
% 39.83/26.27 tff(33589,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.27 tff(33590,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33591,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33592,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33591, 33590])).
% 39.83/26.27 tff(33593,plain,
% 39.83/26.27 (v22(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33592, 21, 11959])).
% 39.83/26.27 tff(33594,plain,
% 39.83/26.27 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB100)) | (~v22(constB100)) | v18(constB100))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB100)) | (~v22(constB100)) | v18(constB100))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33595,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB100)) | (~v22(constB100)) | v18(constB100))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33596,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB100)) | (~v22(constB100)) | v18(constB100)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33595, 33594])).
% 39.83/26.27 tff(33597,plain,
% 39.83/26.27 ((~v19(constB100)) | v18(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33596, 35, 33593])).
% 39.83/26.27 tff(33598,plain,
% 39.83/26.27 (~v19(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33597, 33589])).
% 39.83/26.27 tff(33599,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33600,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33601,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33600, 33599])).
% 39.83/26.27 tff(33602,plain,
% 39.83/26.27 (v13(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33601, 50, 33598])).
% 39.83/26.27 tff(33603,plain,
% 39.83/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33604,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33605,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33604, 33603])).
% 39.83/26.27 tff(33606,plain,
% 39.83/26.27 ((~v13(constB100)) | v9(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33605, 67, 11939])).
% 39.83/26.27 tff(33607,plain,
% 39.83/26.27 (v9(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33606, 33602])).
% 39.83/26.27 tff(33608,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v141(constB99))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB99) | (~v9(constB99)) | v141(constB99))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33609,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v141(constB99))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33610,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB99) | (~v9(constB99)) | v141(constB99)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33609, 33608])).
% 39.83/26.27 tff(33611,plain,
% 39.83/26.27 ((~v9(constB99)) | v141(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33610, 85, 11807])).
% 39.83/26.27 tff(33612,plain,
% 39.83/26.27 (v141(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33611, 33607])).
% 39.83/26.27 tff(33613,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB99) | (~v141(constB99)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB99) | (~v141(constB99)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33614,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB99) | (~v141(constB99)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33615,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB99) | (~v141(constB99))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33614, 33613])).
% 39.83/26.27 tff(33616,plain,
% 39.83/26.27 (v140(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33615, 97, 33612])).
% 39.83/26.27 tff(33617,plain,
% 39.83/26.27 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB99)) | (~v163(constB99)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB99)) | (~v163(constB99)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33618,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB99)) | (~v163(constB99)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33619,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB99)) | (~v163(constB99))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33618, 33617])).
% 39.83/26.27 tff(33620,plain,
% 39.83/26.27 (~v163(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33619, 17298, 33616])).
% 39.83/26.27 tff(33621,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB99)) | v164(constB99) | v163(constB99))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB99)) | v164(constB99) | v163(constB99))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33622,plain,
% 39.83/26.27 ((v164(constB99) | v163(constB99) | (~v160(constB99))) <=> ((~v160(constB99)) | v164(constB99) | v163(constB99))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33623,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB99) | v163(constB99) | (~v160(constB99)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB99)) | v164(constB99) | v163(constB99)))),
% 39.83/26.27 inference(monotonicity,[status(thm)],[33622])).
% 39.83/26.27 tff(33624,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB99) | v163(constB99) | (~v160(constB99)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB99)) | v164(constB99) | v163(constB99))),
% 39.83/26.27 inference(transitivity,[status(thm)],[33623, 33621])).
% 39.83/26.27 tff(33625,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB99) | v163(constB99) | (~v160(constB99)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33626,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB99)) | v164(constB99) | v163(constB99)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33625, 33624])).
% 39.83/26.27 tff(33627,plain,
% 39.83/26.27 ((~v160(constB99)) | v164(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33626, 17312, 33620])).
% 39.83/26.27 tff(33628,plain,
% 39.83/26.27 (~v160(constB99)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33627, 33585])).
% 39.83/26.27 tff(33629,plain,
% 39.83/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33630,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33631,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33630, 33629])).
% 39.83/26.27 tff(33632,plain,
% 39.83/26.27 (v160(constB99) | (~v162(constB100))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33631, 17330, 11939])).
% 39.83/26.27 tff(33633,plain,
% 39.83/26.27 (~v162(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33632, 33628])).
% 39.83/26.27 tff(33634,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB100) | (~v163(constB100)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB100) | (~v163(constB100)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33635,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB100) | (~v163(constB100)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33636,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB100) | (~v163(constB100))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33635, 33634])).
% 39.83/26.27 tff(33637,plain,
% 39.83/26.27 (~v163(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33636, 17342, 33633])).
% 39.83/26.27 tff(33638,plain,
% 39.83/26.27 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB100)) | (~v141(constB100)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB100)) | (~v141(constB100)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33639,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB100)) | (~v141(constB100)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33640,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB100)) | (~v141(constB100))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33639, 33638])).
% 39.83/26.27 tff(33641,plain,
% 39.83/26.27 (~v141(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33640, 17066, 11959])).
% 39.83/26.27 tff(33642,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB100) | (~v155(constB100)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB100) | (~v155(constB100)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33643,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB100) | (~v155(constB100)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33644,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB100) | (~v155(constB100))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33643, 33642])).
% 39.83/26.27 tff(33645,plain,
% 39.83/26.27 (~v155(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33644, 17212, 33641])).
% 39.83/26.27 tff(33646,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB100) | (~v164(constB100)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB100) | (~v164(constB100)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33647,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB100) | (~v164(constB100)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33648,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB100) | (~v164(constB100))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33647, 33646])).
% 39.83/26.27 tff(33649,plain,
% 39.83/26.27 (~v164(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33648, 17361, 33645])).
% 39.83/26.27 tff(33650,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB100)) | v164(constB100) | v163(constB100))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB100)) | v164(constB100) | v163(constB100))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33651,plain,
% 39.83/26.27 ((v164(constB100) | v163(constB100) | (~v160(constB100))) <=> ((~v160(constB100)) | v164(constB100) | v163(constB100))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33652,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB100) | v163(constB100) | (~v160(constB100)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB100)) | v164(constB100) | v163(constB100)))),
% 39.83/26.27 inference(monotonicity,[status(thm)],[33651])).
% 39.83/26.27 tff(33653,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB100) | v163(constB100) | (~v160(constB100)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB100)) | v164(constB100) | v163(constB100))),
% 39.83/26.27 inference(transitivity,[status(thm)],[33652, 33650])).
% 39.83/26.27 tff(33654,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB100) | v163(constB100) | (~v160(constB100)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33655,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB100)) | v164(constB100) | v163(constB100)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33654, 33653])).
% 39.83/26.27 tff(33656,plain,
% 39.83/26.27 ((~v160(constB100)) | v163(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33655, 17312, 33649])).
% 39.83/26.27 tff(33657,plain,
% 39.83/26.27 (~v160(constB100)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33656, 33637])).
% 39.83/26.27 tff(33658,plain,
% 39.83/26.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33659,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33660,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33659, 33658])).
% 39.83/26.27 tff(33661,plain,
% 39.83/26.27 (v160(constB100) | (~v162(constB101))),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33660, 17330, 12004])).
% 39.83/26.27 tff(33662,plain,
% 39.83/26.27 (~v162(constB101)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33661, 33657])).
% 39.83/26.27 tff(33663,plain,
% 39.83/26.27 ($false),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33662, 33498])).
% 39.83/26.27 tff(33664,plain,(~(constB101 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.27 tff(33665,assumption,(constB117 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.27 tff(33666,plain,
% 39.83/26.27 (v162(constB117) <=> v162(sK0_VarCurr)),
% 39.83/26.27 inference(monotonicity,[status(thm)],[33665])).
% 39.83/26.27 tff(33667,plain,
% 39.83/26.27 (v162(sK0_VarCurr) <=> v162(constB117)),
% 39.83/26.27 inference(symmetry,[status(thm)],[33666])).
% 39.83/26.27 tff(33668,plain,
% 39.83/26.27 (v162(constB117)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[17398, 33667])).
% 39.83/26.27 tff(33669,plain,
% 39.83/26.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v145(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB111, bitIndex1)) | (~v145(constB111)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33670,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v145(constB111)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33671,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB111, bitIndex1)) | (~v145(constB111))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33670, 33669])).
% 39.83/26.27 tff(33672,plain,
% 39.83/26.27 (~v145(constB111)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33671, 1116, 13298])).
% 39.83/26.27 tff(33673,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB111) | (~v144(constB111)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB111) | (~v144(constB111)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33674,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB111) | (~v144(constB111)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33675,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB111) | (~v144(constB111))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33674, 33673])).
% 39.83/26.27 tff(33676,plain,
% 39.83/26.27 (~v144(constB111)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33675, 17003, 33672])).
% 39.83/26.27 tff(33677,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB111) | (~v142(constB111)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB111) | (~v142(constB111)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33678,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB111) | (~v142(constB111)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33679,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB111) | (~v142(constB111))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33678, 33677])).
% 39.83/26.27 tff(33680,plain,
% 39.83/26.27 (~v142(constB111)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33679, 17014, 33676])).
% 39.83/26.27 tff(33681,assumption,(v18(constB112)), introduced(assumption)).
% 39.83/26.27 tff(33682,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB112))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33683,plain,
% 39.83/26.27 ($false),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33682, 8, 33681])).
% 39.83/26.27 tff(33684,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.27 tff(33685,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33686,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33687,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33686, 33685])).
% 39.83/26.27 tff(33688,plain,
% 39.83/26.27 (v22(constB112)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33687, 21, 13253])).
% 39.83/26.27 tff(33689,plain,
% 39.83/26.27 (((~![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))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33690,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB112)) | (~v22(constB112)) | v18(constB112))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33691,plain,
% 39.83/26.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB112)) | (~v22(constB112)) | v18(constB112)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33690, 33689])).
% 39.83/26.27 tff(33692,plain,
% 39.83/26.27 ((~v19(constB112)) | v18(constB112)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33691, 35, 33688])).
% 39.83/26.27 tff(33693,plain,
% 39.83/26.27 (~v19(constB112)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33692, 33684])).
% 39.83/26.27 tff(33694,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33695,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33696,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33695, 33694])).
% 39.83/26.27 tff(33697,plain,
% 39.83/26.27 (v13(constB112)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33696, 50, 33693])).
% 39.83/26.27 tff(33698,plain,
% 39.83/26.27 (((~![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))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33699,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33700,plain,
% 39.83/26.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 39.83/26.27 tff(33701,plain,
% 39.83/26.27 ((~v13(constB112)) | v9(constB111)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33700, 67, 13233])).
% 39.83/26.27 tff(33702,plain,
% 39.83/26.27 (v9(constB111)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33701, 33697])).
% 39.83/26.27 tff(33703,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v141(constB111))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB111) | (~v9(constB111)) | v141(constB111))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33704,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v141(constB111))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33705,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB111) | (~v9(constB111)) | v141(constB111)),
% 39.83/26.27 inference(modus_ponens,[status(thm)],[33704, 33703])).
% 39.83/26.27 tff(33706,plain,
% 39.83/26.27 ((~v9(constB111)) | v141(constB111)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33705, 85, 13125])).
% 39.83/26.27 tff(33707,plain,
% 39.83/26.27 (v141(constB111)),
% 39.83/26.27 inference(unit_resolution,[status(thm)],[33706, 33702])).
% 39.83/26.27 tff(33708,plain,
% 39.83/26.27 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB111) | (~v141(constB111)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB111) | (~v141(constB111)))),
% 39.83/26.27 inference(rewrite,[status(thm)],[])).
% 39.83/26.27 tff(33709,plain,
% 39.83/26.27 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB111) | (~v141(constB111)))),
% 39.83/26.27 inference(quant_inst,[status(thm)],[])).
% 39.83/26.27 tff(33710,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB111) | (~v141(constB111))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33709, 33708])).
% 39.83/26.28 tff(33711,plain,
% 39.83/26.28 (v140(constB111)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33710, 97, 33707])).
% 39.83/26.28 tff(33712,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB111)) | (~v140(constB111)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB111)) | (~v140(constB111)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33713,plain,
% 39.83/26.28 (((~v140(constB111)) | (~v138(constB111))) <=> ((~v138(constB111)) | (~v140(constB111)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33714,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB111)) | (~v138(constB111)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB111)) | (~v140(constB111))))),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33713])).
% 39.83/26.28 tff(33715,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB111)) | (~v138(constB111)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB111)) | (~v140(constB111)))),
% 39.83/26.28 inference(transitivity,[status(thm)],[33714, 33712])).
% 39.83/26.28 tff(33716,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB111)) | (~v138(constB111)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33717,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB111)) | (~v140(constB111))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33716, 33715])).
% 39.83/26.28 tff(33718,plain,
% 39.83/26.28 (~v138(constB111)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33717, 108, 33711])).
% 39.83/26.28 tff(33719,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB111) | v142(constB111) | (~v135(constB111)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB111) | v142(constB111) | (~v135(constB111)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33720,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB111) | v142(constB111) | (~v135(constB111)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33721,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB111) | v142(constB111) | (~v135(constB111))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33720, 33719])).
% 39.83/26.28 tff(33722,plain,
% 39.83/26.28 (v142(constB111) | (~v135(constB111))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33721, 17028, 33718])).
% 39.83/26.28 tff(33723,plain,
% 39.83/26.28 (~v135(constB111)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33722, 33680])).
% 39.83/26.28 tff(33724,plain,
% 39.83/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB111, constB112)) | v135(constB111) | (~v137(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB111, constB112)) | v135(constB111) | (~v137(constB112)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33725,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB111, constB112)) | v135(constB111) | (~v137(constB112)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33726,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB111, constB112)) | v135(constB111) | (~v137(constB112))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33725, 33724])).
% 39.83/26.28 tff(33727,plain,
% 39.83/26.28 (v135(constB111) | (~v137(constB112))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33726, 17043, 13233])).
% 39.83/26.28 tff(33728,plain,
% 39.83/26.28 (~v137(constB112)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33727, 33723])).
% 39.83/26.28 tff(33729,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB112) | (~v138(constB112)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB112) | (~v138(constB112)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33730,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB112) | (~v138(constB112)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33731,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB112) | (~v138(constB112))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33730, 33729])).
% 39.83/26.28 tff(33732,plain,
% 39.83/26.28 (~v138(constB112)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33731, 17055, 33728])).
% 39.83/26.28 tff(33733,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB112)) | (~v141(constB112)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB112)) | (~v141(constB112)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33734,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB112)) | (~v141(constB112)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33735,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB112)) | (~v141(constB112))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33734, 33733])).
% 39.83/26.28 tff(33736,plain,
% 39.83/26.28 (~v141(constB112)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33735, 17066, 13253])).
% 39.83/26.28 tff(33737,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB112) | (~v144(constB112)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB112) | (~v144(constB112)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33738,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB112) | (~v144(constB112)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33739,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB112) | (~v144(constB112))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33738, 33737])).
% 39.83/26.28 tff(33740,plain,
% 39.83/26.28 (~v144(constB112)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33739, 17077, 33736])).
% 39.83/26.28 tff(33741,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB112) | (~v142(constB112)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB112) | (~v142(constB112)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33742,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB112) | (~v142(constB112)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33743,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB112) | (~v142(constB112))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33742, 33741])).
% 39.83/26.28 tff(33744,plain,
% 39.83/26.28 (~v142(constB112)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33743, 17014, 33740])).
% 39.83/26.28 tff(33745,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB112) | v142(constB112) | (~v135(constB112)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB112) | v142(constB112) | (~v135(constB112)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33746,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB112) | v142(constB112) | (~v135(constB112)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33747,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB112) | v142(constB112) | (~v135(constB112))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33746, 33745])).
% 39.83/26.28 tff(33748,plain,
% 39.83/26.28 (v138(constB112) | (~v135(constB112))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33747, 17028, 33744])).
% 39.83/26.28 tff(33749,plain,
% 39.83/26.28 (~v135(constB112)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33748, 33732])).
% 39.83/26.28 tff(33750,plain,
% 39.83/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB112, constB113)) | v135(constB112) | (~v137(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB112, constB113)) | v135(constB112) | (~v137(constB113)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33751,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB112, constB113)) | v135(constB112) | (~v137(constB113)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33752,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB112, constB113)) | v135(constB112) | (~v137(constB113))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33751, 33750])).
% 39.83/26.28 tff(33753,plain,
% 39.83/26.28 (v135(constB112) | (~v137(constB113))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33752, 17043, 13358])).
% 39.83/26.28 tff(33754,plain,
% 39.83/26.28 (~v137(constB113)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33753, 33749])).
% 39.83/26.28 tff(33755,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB113) | (~v154(constB113)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB113) | (~v154(constB113)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33756,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB113) | (~v154(constB113)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33757,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB113) | (~v154(constB113))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33756, 33755])).
% 39.83/26.28 tff(33758,plain,
% 39.83/26.28 (~v154(constB113)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33757, 17105, 33754])).
% 39.83/26.28 tff(33759,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB113)) | (~v153(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB113)) | (~v153(constB113)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33760,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB113)) | (~v153(constB113)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33761,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB113)) | (~v153(constB113))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33760, 33759])).
% 39.83/26.28 tff(33762,plain,
% 39.83/26.28 (~v153(constB113)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33761, 17156, 32613])).
% 39.83/26.28 tff(33763,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB113) | v154(constB113) | (~v150(constB113)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB113) | v154(constB113) | (~v150(constB113)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33764,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB113) | v154(constB113) | (~v150(constB113)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33765,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB113) | v154(constB113) | (~v150(constB113))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33764, 33763])).
% 39.83/26.28 tff(33766,plain,
% 39.83/26.28 (v154(constB113) | (~v150(constB113))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33765, 17170, 33762])).
% 39.83/26.28 tff(33767,plain,
% 39.83/26.28 (~v150(constB113)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33766, 33758])).
% 39.83/26.28 tff(33768,plain,
% 39.83/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB113, constB114)) | v150(constB113) | (~v152(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB113, constB114)) | v150(constB113) | (~v152(constB114)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33769,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB113, constB114)) | v150(constB113) | (~v152(constB114)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33770,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB113, constB114)) | v150(constB113) | (~v152(constB114))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33769, 33768])).
% 39.83/26.28 tff(33771,plain,
% 39.83/26.28 (v150(constB113) | (~v152(constB114))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33770, 17185, 13483])).
% 39.83/26.28 tff(33772,plain,
% 39.83/26.28 (~v152(constB114)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33771, 33767])).
% 39.83/26.28 tff(33773,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB114) | (~v153(constB114)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB114) | (~v153(constB114)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33774,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB114) | (~v153(constB114)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33775,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB114) | (~v153(constB114))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33774, 33773])).
% 39.83/26.28 tff(33776,plain,
% 39.83/26.28 (~v153(constB114)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33775, 17197, 33772])).
% 39.83/26.28 tff(33777,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB114) | (~v155(constB114)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB114) | (~v155(constB114)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33778,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB114) | (~v155(constB114)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33779,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB114) | (~v155(constB114))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33778, 33777])).
% 39.83/26.28 tff(33780,plain,
% 39.83/26.28 (~v155(constB114)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33779, 17212, 32638])).
% 39.83/26.28 tff(33781,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB114) | (~v154(constB114)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB114) | (~v154(constB114)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33782,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB114) | (~v154(constB114)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33783,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB114) | (~v154(constB114))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33782, 33781])).
% 39.83/26.28 tff(33784,plain,
% 39.83/26.28 (~v154(constB114)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33783, 17223, 33780])).
% 39.83/26.28 tff(33785,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB114) | v154(constB114) | (~v150(constB114)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB114) | v154(constB114) | (~v150(constB114)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33786,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB114) | v154(constB114) | (~v150(constB114)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33787,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB114) | v154(constB114) | (~v150(constB114))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33786, 33785])).
% 39.83/26.28 tff(33788,plain,
% 39.83/26.28 (v153(constB114) | (~v150(constB114))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33787, 17170, 33784])).
% 39.83/26.28 tff(33789,plain,
% 39.83/26.28 (~v150(constB114)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33788, 33776])).
% 39.83/26.28 tff(33790,plain,
% 39.83/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB114, constB115)) | v150(constB114) | (~v152(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB114, constB115)) | v150(constB114) | (~v152(constB115)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33791,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB114, constB115)) | v150(constB114) | (~v152(constB115)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33792,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB114, constB115)) | v150(constB114) | (~v152(constB115))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33791, 33790])).
% 39.83/26.28 tff(33793,plain,
% 39.83/26.28 (v150(constB114) | (~v152(constB115))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33792, 17185, 13549])).
% 39.83/26.28 tff(33794,plain,
% 39.83/26.28 (~v152(constB115)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33793, 33789])).
% 39.83/26.28 tff(33795,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB115) | (~v164(constB115)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB115) | (~v164(constB115)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33796,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB115) | (~v164(constB115)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33797,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB115) | (~v164(constB115))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33796, 33795])).
% 39.83/26.28 tff(33798,plain,
% 39.83/26.28 (~v164(constB115)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33797, 17247, 33794])).
% 39.83/26.28 tff(33799,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB115)) | (~v163(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB115)) | (~v163(constB115)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33800,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB115)) | (~v163(constB115)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33801,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB115)) | (~v163(constB115))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33800, 33799])).
% 39.83/26.28 tff(33802,plain,
% 39.83/26.28 (~v163(constB115)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33801, 17298, 32691])).
% 39.83/26.28 tff(33803,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB115)) | v163(constB115) | v164(constB115))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB115)) | v163(constB115) | v164(constB115))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33804,plain,
% 39.83/26.28 ((v164(constB115) | v163(constB115) | (~v160(constB115))) <=> ((~v160(constB115)) | v163(constB115) | v164(constB115))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33805,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB115) | v163(constB115) | (~v160(constB115)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB115)) | v163(constB115) | v164(constB115)))),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33804])).
% 39.83/26.28 tff(33806,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB115) | v163(constB115) | (~v160(constB115)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB115)) | v163(constB115) | v164(constB115))),
% 39.83/26.28 inference(transitivity,[status(thm)],[33805, 33803])).
% 39.83/26.28 tff(33807,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB115) | v163(constB115) | (~v160(constB115)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33808,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB115)) | v163(constB115) | v164(constB115)),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33807, 33806])).
% 39.83/26.28 tff(33809,plain,
% 39.83/26.28 ((~v160(constB115)) | v164(constB115)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33808, 17312, 33802])).
% 39.83/26.28 tff(33810,plain,
% 39.83/26.28 (~v160(constB115)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33809, 33798])).
% 39.83/26.28 tff(33811,plain,
% 39.83/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB115, constB116)) | v160(constB115) | (~v162(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB115, constB116)) | v160(constB115) | (~v162(constB116)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33812,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB115, constB116)) | v160(constB115) | (~v162(constB116)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33813,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB115, constB116)) | v160(constB115) | (~v162(constB116))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33812, 33811])).
% 39.83/26.28 tff(33814,plain,
% 39.83/26.28 (v160(constB115) | (~v162(constB116))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33813, 17330, 13662])).
% 39.83/26.28 tff(33815,plain,
% 39.83/26.28 (~v162(constB116)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33814, 33810])).
% 39.83/26.28 tff(33816,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB116) | (~v163(constB116)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB116) | (~v163(constB116)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33817,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB116) | (~v163(constB116)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33818,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB116) | (~v163(constB116))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33817, 33816])).
% 39.83/26.28 tff(33819,plain,
% 39.83/26.28 (~v163(constB116)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33818, 17342, 33815])).
% 39.83/26.28 tff(33820,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB116) | (~v164(constB116)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB116) | (~v164(constB116)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33821,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB116) | (~v164(constB116)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33822,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB116) | (~v164(constB116))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33821, 33820])).
% 39.83/26.28 tff(33823,plain,
% 39.83/26.28 (~v164(constB116)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33822, 17361, 32717])).
% 39.83/26.28 tff(33824,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB116)) | v164(constB116) | v163(constB116))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB116)) | v164(constB116) | v163(constB116))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33825,plain,
% 39.83/26.28 ((v164(constB116) | v163(constB116) | (~v160(constB116))) <=> ((~v160(constB116)) | v164(constB116) | v163(constB116))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33826,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB116) | v163(constB116) | (~v160(constB116)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB116)) | v164(constB116) | v163(constB116)))),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33825])).
% 39.83/26.28 tff(33827,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB116) | v163(constB116) | (~v160(constB116)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB116)) | v164(constB116) | v163(constB116))),
% 39.83/26.28 inference(transitivity,[status(thm)],[33826, 33824])).
% 39.83/26.28 tff(33828,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB116) | v163(constB116) | (~v160(constB116)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33829,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB116)) | v164(constB116) | v163(constB116)),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33828, 33827])).
% 39.83/26.28 tff(33830,plain,
% 39.83/26.28 ((~v160(constB116)) | v163(constB116)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33829, 17312, 33823])).
% 39.83/26.28 tff(33831,plain,
% 39.83/26.28 (~v160(constB116)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33830, 33819])).
% 39.83/26.28 tff(33832,plain,
% 39.83/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB116, constB117)) | v160(constB116) | (~v162(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB116, constB117)) | v160(constB116) | (~v162(constB117)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33833,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB116, constB117)) | v160(constB116) | (~v162(constB117)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33834,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB116, constB117)) | v160(constB116) | (~v162(constB117))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33833, 33832])).
% 39.83/26.28 tff(33835,plain,
% 39.83/26.28 (v160(constB116) | (~v162(constB117))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33834, 17330, 13754])).
% 39.83/26.28 tff(33836,plain,
% 39.83/26.28 (~v162(constB117)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33835, 33831])).
% 39.83/26.28 tff(33837,plain,
% 39.83/26.28 ($false),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33836, 33668])).
% 39.83/26.28 tff(33838,plain,(~(constB117 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.28 tff(33839,assumption,(constB106 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.28 tff(33840,plain,
% 39.83/26.28 (v1(constB106) <=> v1(sK0_VarCurr)),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33839])).
% 39.83/26.28 tff(33841,plain,
% 39.83/26.28 (v1(sK0_VarCurr) <=> v1(constB106)),
% 39.83/26.28 inference(symmetry,[status(thm)],[33840])).
% 39.83/26.28 tff(33842,plain,
% 39.83/26.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB106))),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33841])).
% 39.83/26.28 tff(33843,plain,
% 39.83/26.28 (~v1(constB106)),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[23858, 33842])).
% 39.83/26.28 tff(33844,plain,
% 39.83/26.28 ($false),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[12656, 33843])).
% 39.83/26.28 tff(33845,plain,(~(constB106 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.28 tff(33846,assumption,(constB168 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.28 tff(33847,plain,
% 39.83/26.28 (v1(constB168) <=> v1(sK0_VarCurr)),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33846])).
% 39.83/26.28 tff(33848,plain,
% 39.83/26.28 (v1(sK0_VarCurr) <=> v1(constB168)),
% 39.83/26.28 inference(symmetry,[status(thm)],[33847])).
% 39.83/26.28 tff(33849,plain,
% 39.83/26.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB168))),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33848])).
% 39.83/26.28 tff(33850,plain,
% 39.83/26.28 (~v1(constB168)),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[23858, 33849])).
% 39.83/26.28 tff(33851,plain,
% 39.83/26.28 ($false),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[19602, 33850])).
% 39.83/26.28 tff(33852,plain,(~(constB168 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.28 tff(33853,assumption,(constB114 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.28 tff(33854,plain,
% 39.83/26.28 (v1(constB114) <=> v1(sK0_VarCurr)),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33853])).
% 39.83/26.28 tff(33855,plain,
% 39.83/26.28 (v1(sK0_VarCurr) <=> v1(constB114)),
% 39.83/26.28 inference(symmetry,[status(thm)],[33854])).
% 39.83/26.28 tff(33856,plain,
% 39.83/26.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB114))),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33855])).
% 39.83/26.28 tff(33857,plain,
% 39.83/26.28 (~v1(constB114)),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[23858, 33856])).
% 39.83/26.28 tff(33858,plain,
% 39.83/26.28 ($false),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[13503, 33857])).
% 39.83/26.28 tff(33859,plain,(~(constB114 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.28 tff(33860,assumption,(constB71 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.28 tff(33861,plain,
% 39.83/26.28 (v162(constB71) <=> v162(sK0_VarCurr)),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33860])).
% 39.83/26.28 tff(33862,plain,
% 39.83/26.28 (v162(sK0_VarCurr) <=> v162(constB71)),
% 39.83/26.28 inference(symmetry,[status(thm)],[33861])).
% 39.83/26.28 tff(33863,plain,
% 39.83/26.28 (v162(constB71)),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[17398, 33862])).
% 39.83/26.28 tff(33864,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB65) | (~v144(constB65)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB65) | (~v144(constB65)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33865,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB65) | (~v144(constB65)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33866,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB65) | (~v144(constB65))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33865, 33864])).
% 39.83/26.28 tff(33867,plain,
% 39.83/26.28 (~v144(constB65)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33866, 17003, 8039])).
% 39.83/26.28 tff(33868,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB65) | (~v142(constB65)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33869,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB65) | (~v142(constB65)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33870,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB65) | (~v142(constB65))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33869, 33868])).
% 39.83/26.28 tff(33871,plain,
% 39.83/26.28 (~v142(constB65)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33870, 17014, 33867])).
% 39.83/26.28 tff(33872,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB65)) | (~v140(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB65)) | (~v140(constB65)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33873,plain,
% 39.83/26.28 (((~v140(constB65)) | (~v138(constB65))) <=> ((~v138(constB65)) | (~v140(constB65)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33874,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB65)) | (~v138(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB65)) | (~v140(constB65))))),
% 39.83/26.28 inference(monotonicity,[status(thm)],[33873])).
% 39.83/26.28 tff(33875,plain,
% 39.83/26.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB65)) | (~v138(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB65)) | (~v140(constB65)))),
% 39.83/26.28 inference(transitivity,[status(thm)],[33874, 33872])).
% 39.83/26.28 tff(33876,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB65)) | (~v138(constB65)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33877,plain,
% 39.83/26.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB65)) | (~v140(constB65))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33876, 33875])).
% 39.83/26.28 tff(33878,plain,
% 39.83/26.28 (~v138(constB65)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33877, 108, 31982])).
% 39.83/26.28 tff(33879,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB65) | v142(constB65) | (~v135(constB65)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB65) | v142(constB65) | (~v135(constB65)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33880,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB65) | v142(constB65) | (~v135(constB65)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33881,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB65) | v142(constB65) | (~v135(constB65))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 39.83/26.28 tff(33882,plain,
% 39.83/26.28 (v142(constB65) | (~v135(constB65))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33881, 17028, 33878])).
% 39.83/26.28 tff(33883,plain,
% 39.83/26.28 (~v135(constB65)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33882, 33871])).
% 39.83/26.28 tff(33884,plain,
% 39.83/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33885,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33886,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33885, 33884])).
% 39.83/26.28 tff(33887,plain,
% 39.83/26.28 (v135(constB65) | (~v137(constB66))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33886, 17043, 7981])).
% 39.83/26.28 tff(33888,plain,
% 39.83/26.28 (~v137(constB66)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33887, 33883])).
% 39.83/26.28 tff(33889,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB66) | (~v138(constB66)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB66) | (~v138(constB66)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33890,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB66) | (~v138(constB66)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33891,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB66) | (~v138(constB66))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33890, 33889])).
% 39.83/26.28 tff(33892,plain,
% 39.83/26.28 (~v138(constB66)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33891, 17055, 33888])).
% 39.83/26.28 tff(33893,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB66) | (~v144(constB66)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB66) | (~v144(constB66)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33894,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB66) | (~v144(constB66)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33895,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB66) | (~v144(constB66))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33894, 33893])).
% 39.83/26.28 tff(33896,plain,
% 39.83/26.28 (~v144(constB66)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33895, 17077, 32007])).
% 39.83/26.28 tff(33897,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB66) | (~v142(constB66)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB66) | (~v142(constB66)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33898,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB66) | (~v142(constB66)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33899,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB66) | (~v142(constB66))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33898, 33897])).
% 39.83/26.28 tff(33900,plain,
% 39.83/26.28 (~v142(constB66)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33899, 17014, 33896])).
% 39.83/26.28 tff(33901,plain,
% 39.83/26.28 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB66) | v142(constB66) | (~v135(constB66)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB66) | v142(constB66) | (~v135(constB66)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33902,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB66) | v142(constB66) | (~v135(constB66)))),
% 39.83/26.28 inference(quant_inst,[status(thm)],[])).
% 39.83/26.28 tff(33903,plain,
% 39.83/26.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB66) | v142(constB66) | (~v135(constB66))),
% 39.83/26.28 inference(modus_ponens,[status(thm)],[33902, 33901])).
% 39.83/26.28 tff(33904,plain,
% 39.83/26.28 (v138(constB66) | (~v135(constB66))),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33903, 17028, 33900])).
% 39.83/26.28 tff(33905,plain,
% 39.83/26.28 (~v135(constB66)),
% 39.83/26.28 inference(unit_resolution,[status(thm)],[33904, 33892])).
% 39.83/26.28 tff(33906,plain,
% 39.83/26.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))),
% 39.83/26.28 inference(rewrite,[status(thm)],[])).
% 39.83/26.28 tff(33907,plain,
% 39.83/26.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33908,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33907, 33906])).
% 39.83/26.29 tff(33909,plain,
% 39.83/26.29 (v135(constB66) | (~v137(constB67))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33908, 17043, 8073])).
% 39.83/26.29 tff(33910,plain,
% 39.83/26.29 (~v137(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33909, 33905])).
% 39.83/26.29 tff(33911,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB67) | (~v154(constB67)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB67) | (~v154(constB67)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33912,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB67) | (~v154(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33913,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB67) | (~v154(constB67))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33912, 33911])).
% 39.83/26.29 tff(33914,plain,
% 39.83/26.29 (~v154(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33913, 17105, 33910])).
% 39.83/26.29 tff(33915,assumption,(v18(constB68)), introduced(assumption)).
% 39.83/26.29 tff(33916,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB68))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33917,plain,
% 39.83/26.29 ($false),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33916, 8, 33915])).
% 39.83/26.29 tff(33918,plain,(~v18(constB68)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.29 tff(33919,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33920,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33921,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33920, 33919])).
% 39.83/26.29 tff(33922,plain,
% 39.83/26.29 (v22(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33921, 21, 8229])).
% 39.83/26.29 tff(33923,plain,
% 39.83/26.29 (((~![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))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33924,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB68)) | (~v22(constB68)) | v18(constB68))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33925,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB68)) | (~v22(constB68)) | v18(constB68)),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33924, 33923])).
% 39.83/26.29 tff(33926,plain,
% 39.83/26.29 ((~v19(constB68)) | v18(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33925, 35, 33922])).
% 39.83/26.29 tff(33927,plain,
% 39.83/26.29 (~v19(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33926, 33918])).
% 39.83/26.29 tff(33928,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33929,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33930,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68)),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33929, 33928])).
% 39.83/26.29 tff(33931,plain,
% 39.83/26.29 (v13(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33930, 50, 33927])).
% 39.83/26.29 tff(33932,plain,
% 39.83/26.29 (((~![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))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33933,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33934,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67)),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33933, 33932])).
% 39.83/26.29 tff(33935,plain,
% 39.83/26.29 ((~v13(constB68)) | v9(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33934, 67, 8209])).
% 39.83/26.29 tff(33936,plain,
% 39.83/26.29 (v9(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33935, 33931])).
% 39.83/26.29 tff(33937,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v141(constB67))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB67) | (~v9(constB67)) | v141(constB67))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33938,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v141(constB67))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33939,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB67) | (~v9(constB67)) | v141(constB67)),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33938, 33937])).
% 39.83/26.29 tff(33940,plain,
% 39.83/26.29 ((~v9(constB67)) | v141(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33939, 85, 8070])).
% 39.83/26.29 tff(33941,plain,
% 39.83/26.29 (v141(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33940, 33936])).
% 39.83/26.29 tff(33942,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB67) | (~v141(constB67)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB67) | (~v141(constB67)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33943,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB67) | (~v141(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33944,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB67) | (~v141(constB67))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33943, 33942])).
% 39.83/26.29 tff(33945,plain,
% 39.83/26.29 (v140(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33944, 97, 33941])).
% 39.83/26.29 tff(33946,plain,
% 39.83/26.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB67)) | (~v153(constB67)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB67)) | (~v153(constB67)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33947,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB67)) | (~v153(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33948,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB67)) | (~v153(constB67))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33947, 33946])).
% 39.83/26.29 tff(33949,plain,
% 39.83/26.29 (~v153(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33948, 17156, 33945])).
% 39.83/26.29 tff(33950,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB67) | v154(constB67) | (~v150(constB67)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB67) | v154(constB67) | (~v150(constB67)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33951,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB67) | v154(constB67) | (~v150(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33952,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB67) | v154(constB67) | (~v150(constB67))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33951, 33950])).
% 39.83/26.29 tff(33953,plain,
% 39.83/26.29 (v154(constB67) | (~v150(constB67))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33952, 17170, 33949])).
% 39.83/26.29 tff(33954,plain,
% 39.83/26.29 (~v150(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33953, 33914])).
% 39.83/26.29 tff(33955,plain,
% 39.83/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33956,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33957,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33956, 33955])).
% 39.83/26.29 tff(33958,plain,
% 39.83/26.29 (v150(constB67) | (~v152(constB68))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33957, 17185, 8209])).
% 39.83/26.29 tff(33959,plain,
% 39.83/26.29 (~v152(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33958, 33954])).
% 39.83/26.29 tff(33960,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB68) | (~v153(constB68)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB68) | (~v153(constB68)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33961,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB68) | (~v153(constB68)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33962,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB68) | (~v153(constB68))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33961, 33960])).
% 39.83/26.29 tff(33963,plain,
% 39.83/26.29 (~v153(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33962, 17197, 33959])).
% 39.83/26.29 tff(33964,plain,
% 39.83/26.29 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB68)) | (~v141(constB68)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB68)) | (~v141(constB68)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33965,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB68)) | (~v141(constB68)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33966,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB68)) | (~v141(constB68))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33965, 33964])).
% 39.83/26.29 tff(33967,plain,
% 39.83/26.29 (~v141(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33966, 17066, 8229])).
% 39.83/26.29 tff(33968,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB68) | (~v155(constB68)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB68) | (~v155(constB68)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33969,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB68) | (~v155(constB68)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33970,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB68) | (~v155(constB68))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33969, 33968])).
% 39.83/26.29 tff(33971,plain,
% 39.83/26.29 (~v155(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33970, 17212, 33967])).
% 39.83/26.29 tff(33972,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB68) | (~v154(constB68)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB68) | (~v154(constB68)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33973,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB68) | (~v154(constB68)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33974,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB68) | (~v154(constB68))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33973, 33972])).
% 39.83/26.29 tff(33975,plain,
% 39.83/26.29 (~v154(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33974, 17223, 33971])).
% 39.83/26.29 tff(33976,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB68) | v154(constB68) | (~v150(constB68)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB68) | v154(constB68) | (~v150(constB68)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33977,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB68) | v154(constB68) | (~v150(constB68)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33978,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB68) | v154(constB68) | (~v150(constB68))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33977, 33976])).
% 39.83/26.29 tff(33979,plain,
% 39.83/26.29 (v153(constB68) | (~v150(constB68))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33978, 17170, 33975])).
% 39.83/26.29 tff(33980,plain,
% 39.83/26.29 (~v150(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33979, 33963])).
% 39.83/26.29 tff(33981,plain,
% 39.83/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33982,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33983,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33982, 33981])).
% 39.83/26.29 tff(33984,plain,
% 39.83/26.29 (v150(constB68) | (~v152(constB69))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33983, 17185, 8274])).
% 39.83/26.29 tff(33985,plain,
% 39.83/26.29 (~v152(constB69)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33984, 33980])).
% 39.83/26.29 tff(33986,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB69) | (~v164(constB69)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB69) | (~v164(constB69)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33987,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB69) | (~v164(constB69)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33988,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB69) | (~v164(constB69))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33987, 33986])).
% 39.83/26.29 tff(33989,plain,
% 39.83/26.29 (~v164(constB69)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33988, 17247, 33985])).
% 39.83/26.29 tff(33990,plain,
% 39.83/26.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB63, bitIndex2)) | (~v145(constB63)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB63, bitIndex2)) | (~v145(constB63)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33991,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB63, bitIndex2)) | (~v145(constB63)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33992,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB63, bitIndex2)) | (~v145(constB63))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33991, 33990])).
% 39.83/26.29 tff(33993,plain,
% 39.83/26.29 (~v145(constB63)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33992, 5709, 7709])).
% 39.83/26.29 tff(33994,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB63) | (~v144(constB63)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB63) | (~v144(constB63)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33995,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB63) | (~v144(constB63)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(33996,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB63) | (~v144(constB63))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33995, 33994])).
% 39.83/26.29 tff(33997,plain,
% 39.83/26.29 (~v144(constB63)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[33996, 17003, 33993])).
% 39.83/26.29 tff(33998,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB63) | (~v142(constB63)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB63) | (~v142(constB63)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(33999,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB63) | (~v142(constB63)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34000,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB63) | (~v142(constB63))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[33999, 33998])).
% 39.83/26.29 tff(34001,plain,
% 39.83/26.29 (~v142(constB63)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34000, 17014, 33997])).
% 39.83/26.29 tff(34002,plain,
% 39.83/26.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB63)) | (~v140(constB63)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB63)) | (~v140(constB63)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34003,plain,
% 39.83/26.29 (((~v140(constB63)) | (~v138(constB63))) <=> ((~v138(constB63)) | (~v140(constB63)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34004,plain,
% 39.83/26.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB63)) | (~v138(constB63)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB63)) | (~v140(constB63))))),
% 39.83/26.29 inference(monotonicity,[status(thm)],[34003])).
% 39.83/26.29 tff(34005,plain,
% 39.83/26.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB63)) | (~v138(constB63)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB63)) | (~v140(constB63)))),
% 39.83/26.29 inference(transitivity,[status(thm)],[34004, 34002])).
% 39.83/26.29 tff(34006,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB63)) | (~v138(constB63)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34007,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB63)) | (~v140(constB63))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34006, 34005])).
% 39.83/26.29 tff(34008,plain,
% 39.83/26.29 (~v138(constB63)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34007, 108, 31907])).
% 39.83/26.29 tff(34009,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB63) | v142(constB63) | (~v135(constB63)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB63) | v142(constB63) | (~v135(constB63)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34010,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB63) | v142(constB63) | (~v135(constB63)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34011,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB63) | v142(constB63) | (~v135(constB63))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34010, 34009])).
% 39.83/26.29 tff(34012,plain,
% 39.83/26.29 (v142(constB63) | (~v135(constB63))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34011, 17028, 34008])).
% 39.83/26.29 tff(34013,plain,
% 39.83/26.29 (~v135(constB63)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34012, 34001])).
% 39.83/26.29 tff(34014,plain,
% 39.83/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB63, constB64)) | v135(constB63) | (~v137(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB63, constB64)) | v135(constB63) | (~v137(constB64)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34015,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB63, constB64)) | v135(constB63) | (~v137(constB64)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34016,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB63, constB64)) | v135(constB63) | (~v137(constB64))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34015, 34014])).
% 39.83/26.29 tff(34017,plain,
% 39.83/26.29 (v135(constB63) | (~v137(constB64))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34016, 17043, 7809])).
% 39.83/26.29 tff(34018,plain,
% 39.83/26.29 (~v137(constB64)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34017, 34013])).
% 39.83/26.29 tff(34019,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB64) | (~v138(constB64)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB64) | (~v138(constB64)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34020,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB64) | (~v138(constB64)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34021,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB64) | (~v138(constB64))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34020, 34019])).
% 39.83/26.29 tff(34022,plain,
% 39.83/26.29 (~v138(constB64)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34021, 17055, 34018])).
% 39.83/26.29 tff(34023,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB64) | (~v144(constB64)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB64) | (~v144(constB64)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34024,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB64) | (~v144(constB64)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34025,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB64) | (~v144(constB64))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34024, 34023])).
% 39.83/26.29 tff(34026,plain,
% 39.83/26.29 (~v144(constB64)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34025, 17077, 31929])).
% 39.83/26.29 tff(34027,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB64) | (~v142(constB64)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB64) | (~v142(constB64)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34028,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB64) | (~v142(constB64)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34029,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB64) | (~v142(constB64))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34028, 34027])).
% 39.83/26.29 tff(34030,plain,
% 39.83/26.29 (~v142(constB64)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34029, 17014, 34026])).
% 39.83/26.29 tff(34031,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB64) | v142(constB64) | (~v135(constB64)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB64) | v142(constB64) | (~v135(constB64)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34032,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB64) | v142(constB64) | (~v135(constB64)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34033,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB64) | v142(constB64) | (~v135(constB64))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34032, 34031])).
% 39.83/26.29 tff(34034,plain,
% 39.83/26.29 (v138(constB64) | (~v135(constB64))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34033, 17028, 34030])).
% 39.83/26.29 tff(34035,plain,
% 39.83/26.29 (~v135(constB64)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34034, 34022])).
% 39.83/26.29 tff(34036,plain,
% 39.83/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB64, constB65)) | v135(constB64) | (~v137(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB64, constB65)) | v135(constB64) | (~v137(constB65)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34037,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB64, constB65)) | v135(constB64) | (~v137(constB65)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34038,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB64, constB65)) | v135(constB64) | (~v137(constB65))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34037, 34036])).
% 39.83/26.29 tff(34039,plain,
% 39.83/26.29 (v135(constB64) | (~v137(constB65))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34038, 17043, 7871])).
% 39.83/26.29 tff(34040,plain,
% 39.83/26.29 (~v137(constB65)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34039, 34035])).
% 39.83/26.29 tff(34041,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB65) | (~v154(constB65)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB65) | (~v154(constB65)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34042,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB65) | (~v154(constB65)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34043,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB65) | (~v154(constB65))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34042, 34041])).
% 39.83/26.29 tff(34044,plain,
% 39.83/26.29 (~v154(constB65)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34043, 17105, 34040])).
% 39.83/26.29 tff(34045,plain,
% 39.83/26.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB65)) | (~v153(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB65)) | (~v153(constB65)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34046,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB65)) | (~v153(constB65)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34047,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB65)) | (~v153(constB65))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34046, 34045])).
% 39.83/26.29 tff(34048,plain,
% 39.83/26.29 (~v153(constB65)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34047, 17156, 31982])).
% 39.83/26.29 tff(34049,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB65) | v154(constB65) | (~v150(constB65)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB65) | v154(constB65) | (~v150(constB65)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34050,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB65) | v154(constB65) | (~v150(constB65)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34051,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB65) | v154(constB65) | (~v150(constB65))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34050, 34049])).
% 39.83/26.29 tff(34052,plain,
% 39.83/26.29 (v154(constB65) | (~v150(constB65))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34051, 17170, 34048])).
% 39.83/26.29 tff(34053,plain,
% 39.83/26.29 (~v150(constB65)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34052, 34044])).
% 39.83/26.29 tff(34054,plain,
% 39.83/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB65, constB66)) | v150(constB65) | (~v152(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB65, constB66)) | v150(constB65) | (~v152(constB66)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34055,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB65, constB66)) | v150(constB65) | (~v152(constB66)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34056,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB65, constB66)) | v150(constB65) | (~v152(constB66))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34055, 34054])).
% 39.83/26.29 tff(34057,plain,
% 39.83/26.29 (v150(constB65) | (~v152(constB66))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34056, 17185, 7981])).
% 39.83/26.29 tff(34058,plain,
% 39.83/26.29 (~v152(constB66)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34057, 34053])).
% 39.83/26.29 tff(34059,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB66) | (~v153(constB66)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB66) | (~v153(constB66)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34060,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB66) | (~v153(constB66)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34061,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB66) | (~v153(constB66))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34060, 34059])).
% 39.83/26.29 tff(34062,plain,
% 39.83/26.29 (~v153(constB66)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34061, 17197, 34058])).
% 39.83/26.29 tff(34063,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB66) | (~v154(constB66)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB66) | (~v154(constB66)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34064,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB66) | (~v154(constB66)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34065,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB66) | (~v154(constB66))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34064, 34063])).
% 39.83/26.29 tff(34066,plain,
% 39.83/26.29 (~v154(constB66)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34065, 17223, 32011])).
% 39.83/26.29 tff(34067,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB66) | v154(constB66) | (~v150(constB66)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB66) | v154(constB66) | (~v150(constB66)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34068,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB66) | v154(constB66) | (~v150(constB66)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34069,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB66) | v154(constB66) | (~v150(constB66))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34068, 34067])).
% 39.83/26.29 tff(34070,plain,
% 39.83/26.29 (v153(constB66) | (~v150(constB66))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34069, 17170, 34066])).
% 39.83/26.29 tff(34071,plain,
% 39.83/26.29 (~v150(constB66)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34070, 34062])).
% 39.83/26.29 tff(34072,plain,
% 39.83/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB66, constB67)) | v150(constB66) | (~v152(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB66, constB67)) | v150(constB66) | (~v152(constB67)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34073,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB66, constB67)) | v150(constB66) | (~v152(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34074,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB66, constB67)) | v150(constB66) | (~v152(constB67))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34073, 34072])).
% 39.83/26.29 tff(34075,plain,
% 39.83/26.29 (v150(constB66) | (~v152(constB67))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34074, 17185, 8073])).
% 39.83/26.29 tff(34076,plain,
% 39.83/26.29 (~v152(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34075, 34071])).
% 39.83/26.29 tff(34077,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB67) | (~v164(constB67)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB67) | (~v164(constB67)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34078,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB67) | (~v164(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34079,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB67) | (~v164(constB67))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34078, 34077])).
% 39.83/26.29 tff(34080,plain,
% 39.83/26.29 (~v164(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34079, 17247, 34076])).
% 39.83/26.29 tff(34081,plain,
% 39.83/26.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB67)) | (~v163(constB67)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB67)) | (~v163(constB67)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34082,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB67)) | (~v163(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34083,plain,
% 39.83/26.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB67)) | (~v163(constB67))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34082, 34081])).
% 39.83/26.29 tff(34084,plain,
% 39.83/26.29 (~v163(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34083, 17298, 33945])).
% 39.83/26.29 tff(34085,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB67)) | v164(constB67) | v163(constB67))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB67)) | v164(constB67) | v163(constB67))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34086,plain,
% 39.83/26.29 ((v164(constB67) | v163(constB67) | (~v160(constB67))) <=> ((~v160(constB67)) | v164(constB67) | v163(constB67))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34087,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB67) | v163(constB67) | (~v160(constB67)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB67)) | v164(constB67) | v163(constB67)))),
% 39.83/26.29 inference(monotonicity,[status(thm)],[34086])).
% 39.83/26.29 tff(34088,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB67) | v163(constB67) | (~v160(constB67)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB67)) | v164(constB67) | v163(constB67))),
% 39.83/26.29 inference(transitivity,[status(thm)],[34087, 34085])).
% 39.83/26.29 tff(34089,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB67) | v163(constB67) | (~v160(constB67)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34090,plain,
% 39.83/26.29 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB67)) | v164(constB67) | v163(constB67)),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34089, 34088])).
% 39.83/26.29 tff(34091,plain,
% 39.83/26.29 ((~v160(constB67)) | v164(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34090, 17312, 34084])).
% 39.83/26.29 tff(34092,plain,
% 39.83/26.29 (~v160(constB67)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34091, 34080])).
% 39.83/26.29 tff(34093,plain,
% 39.83/26.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB67, constB68)) | v160(constB67) | (~v162(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB67, constB68)) | v160(constB67) | (~v162(constB68)))),
% 39.83/26.29 inference(rewrite,[status(thm)],[])).
% 39.83/26.29 tff(34094,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB67, constB68)) | v160(constB67) | (~v162(constB68)))),
% 39.83/26.29 inference(quant_inst,[status(thm)],[])).
% 39.83/26.29 tff(34095,plain,
% 39.83/26.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB67, constB68)) | v160(constB67) | (~v162(constB68))),
% 39.83/26.29 inference(modus_ponens,[status(thm)],[34094, 34093])).
% 39.83/26.29 tff(34096,plain,
% 39.83/26.29 (v160(constB67) | (~v162(constB68))),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34095, 17330, 8209])).
% 39.83/26.29 tff(34097,plain,
% 39.83/26.29 (~v162(constB68)),
% 39.83/26.29 inference(unit_resolution,[status(thm)],[34096, 34092])).
% 39.83/26.29 tff(34098,plain,
% 39.83/26.29 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB68) | (~v163(constB68)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB68) | (~v163(constB68)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34099,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB68) | (~v163(constB68)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34100,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB68) | (~v163(constB68))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34099, 34098])).
% 39.83/26.30 tff(34101,plain,
% 39.83/26.30 (~v163(constB68)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34100, 17342, 34097])).
% 39.83/26.30 tff(34102,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB68) | (~v164(constB68)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB68) | (~v164(constB68)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34103,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB68) | (~v164(constB68)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34104,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB68) | (~v164(constB68))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34103, 34102])).
% 39.83/26.30 tff(34105,plain,
% 39.83/26.30 (~v164(constB68)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34104, 17361, 33971])).
% 39.83/26.30 tff(34106,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB68)) | v164(constB68) | v163(constB68))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB68)) | v164(constB68) | v163(constB68))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34107,plain,
% 39.83/26.30 ((v164(constB68) | v163(constB68) | (~v160(constB68))) <=> ((~v160(constB68)) | v164(constB68) | v163(constB68))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34108,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB68) | v163(constB68) | (~v160(constB68)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB68)) | v164(constB68) | v163(constB68)))),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34107])).
% 39.83/26.30 tff(34109,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB68) | v163(constB68) | (~v160(constB68)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB68)) | v164(constB68) | v163(constB68))),
% 39.83/26.30 inference(transitivity,[status(thm)],[34108, 34106])).
% 39.83/26.30 tff(34110,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB68) | v163(constB68) | (~v160(constB68)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34111,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB68)) | v164(constB68) | v163(constB68)),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34110, 34109])).
% 39.83/26.30 tff(34112,plain,
% 39.83/26.30 ((~v160(constB68)) | v163(constB68)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34111, 17312, 34105])).
% 39.83/26.30 tff(34113,plain,
% 39.83/26.30 (~v160(constB68)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34112, 34101])).
% 39.83/26.30 tff(34114,plain,
% 39.83/26.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB68, constB69)) | v160(constB68) | (~v162(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB68, constB69)) | v160(constB68) | (~v162(constB69)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34115,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB68, constB69)) | v160(constB68) | (~v162(constB69)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34116,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB68, constB69)) | v160(constB68) | (~v162(constB69))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34115, 34114])).
% 39.83/26.30 tff(34117,plain,
% 39.83/26.30 (v160(constB68) | (~v162(constB69))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34116, 17330, 8274])).
% 39.83/26.30 tff(34118,plain,
% 39.83/26.30 (~v162(constB69)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34117, 34113])).
% 39.83/26.30 tff(34119,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB69) | (~v163(constB69)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB69) | (~v163(constB69)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34120,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB69) | (~v163(constB69)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34121,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB69) | (~v163(constB69))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34120, 34119])).
% 39.83/26.30 tff(34122,plain,
% 39.83/26.30 (~v163(constB69)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34121, 17342, 34118])).
% 39.83/26.30 tff(34123,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB69)) | v163(constB69) | v164(constB69))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB69)) | v163(constB69) | v164(constB69))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34124,plain,
% 39.83/26.30 ((v164(constB69) | v163(constB69) | (~v160(constB69))) <=> ((~v160(constB69)) | v163(constB69) | v164(constB69))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34125,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB69) | v163(constB69) | (~v160(constB69)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB69)) | v163(constB69) | v164(constB69)))),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34124])).
% 39.83/26.30 tff(34126,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB69) | v163(constB69) | (~v160(constB69)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB69)) | v163(constB69) | v164(constB69))),
% 39.83/26.30 inference(transitivity,[status(thm)],[34125, 34123])).
% 39.83/26.30 tff(34127,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB69) | v163(constB69) | (~v160(constB69)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34128,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB69)) | v163(constB69) | v164(constB69)),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34127, 34126])).
% 39.83/26.30 tff(34129,plain,
% 39.83/26.30 ((~v160(constB69)) | v164(constB69)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34128, 17312, 34122])).
% 39.83/26.30 tff(34130,plain,
% 39.83/26.30 (~v160(constB69)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34129, 33989])).
% 39.83/26.30 tff(34131,plain,
% 39.83/26.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB69, constB70)) | v160(constB69) | (~v162(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB69, constB70)) | v160(constB69) | (~v162(constB70)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34132,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB69, constB70)) | v160(constB69) | (~v162(constB70)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34133,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB69, constB70)) | v160(constB69) | (~v162(constB70))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34132, 34131])).
% 39.83/26.30 tff(34134,plain,
% 39.83/26.30 (v160(constB69) | (~v162(constB70))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34133, 17330, 8403])).
% 39.83/26.30 tff(34135,plain,
% 39.83/26.30 (~v162(constB70)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34134, 34130])).
% 39.83/26.30 tff(34136,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB70) | (~v163(constB70)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB70) | (~v163(constB70)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34137,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB70) | (~v163(constB70)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34138,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB70) | (~v163(constB70))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34137, 34136])).
% 39.83/26.30 tff(34139,plain,
% 39.83/26.30 (~v163(constB70)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34138, 17342, 34135])).
% 39.83/26.30 tff(34140,plain,
% 39.83/26.30 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB70)) | (~v141(constB70)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB70)) | (~v141(constB70)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34141,plain,
% 39.83/26.30 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB70)) | (~v141(constB70)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34142,plain,
% 39.83/26.30 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB70)) | (~v141(constB70))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34141, 34140])).
% 39.83/26.30 tff(34143,plain,
% 39.83/26.30 (~v141(constB70)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34142, 17066, 8423])).
% 39.83/26.30 tff(34144,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB70) | (~v155(constB70)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB70) | (~v155(constB70)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34145,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB70) | (~v155(constB70)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34146,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB70) | (~v155(constB70))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34145, 34144])).
% 39.83/26.30 tff(34147,plain,
% 39.83/26.30 (~v155(constB70)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34146, 17212, 34143])).
% 39.83/26.30 tff(34148,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB70) | (~v164(constB70)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB70) | (~v164(constB70)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34149,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB70) | (~v164(constB70)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34150,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB70) | (~v164(constB70))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34149, 34148])).
% 39.83/26.30 tff(34151,plain,
% 39.83/26.30 (~v164(constB70)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34150, 17361, 34147])).
% 39.83/26.30 tff(34152,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB70)) | v164(constB70) | v163(constB70))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB70)) | v164(constB70) | v163(constB70))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34153,plain,
% 39.83/26.30 ((v164(constB70) | v163(constB70) | (~v160(constB70))) <=> ((~v160(constB70)) | v164(constB70) | v163(constB70))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34154,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB70) | v163(constB70) | (~v160(constB70)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB70)) | v164(constB70) | v163(constB70)))),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34153])).
% 39.83/26.30 tff(34155,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB70) | v163(constB70) | (~v160(constB70)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB70)) | v164(constB70) | v163(constB70))),
% 39.83/26.30 inference(transitivity,[status(thm)],[34154, 34152])).
% 39.83/26.30 tff(34156,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB70) | v163(constB70) | (~v160(constB70)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34157,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB70)) | v164(constB70) | v163(constB70)),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34156, 34155])).
% 39.83/26.30 tff(34158,plain,
% 39.83/26.30 ((~v160(constB70)) | v163(constB70)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34157, 17312, 34151])).
% 39.83/26.30 tff(34159,plain,
% 39.83/26.30 (~v160(constB70)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34158, 34139])).
% 39.83/26.30 tff(34160,plain,
% 39.83/26.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB70, constB71)) | v160(constB70) | (~v162(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB70, constB71)) | v160(constB70) | (~v162(constB71)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34161,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB70, constB71)) | v160(constB70) | (~v162(constB71)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34162,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB70, constB71)) | v160(constB70) | (~v162(constB71))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 39.83/26.30 tff(34163,plain,
% 39.83/26.30 (v160(constB70) | (~v162(constB71))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34162, 17330, 8465])).
% 39.83/26.30 tff(34164,plain,
% 39.83/26.30 (~v162(constB71)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34163, 34159])).
% 39.83/26.30 tff(34165,plain,
% 39.83/26.30 ($false),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34164, 33863])).
% 39.83/26.30 tff(34166,plain,(~(constB71 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.30 tff(34167,assumption,(constB148 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.30 tff(34168,plain,
% 39.83/26.30 (v1(constB148) <=> v1(sK0_VarCurr)),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34167])).
% 39.83/26.30 tff(34169,plain,
% 39.83/26.30 (v1(sK0_VarCurr) <=> v1(constB148)),
% 39.83/26.30 inference(symmetry,[status(thm)],[34168])).
% 39.83/26.30 tff(34170,plain,
% 39.83/26.30 ((~v1(sK0_VarCurr)) <=> (~v1(constB148))),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34169])).
% 39.83/26.30 tff(34171,plain,
% 39.83/26.30 (~v1(constB148)),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[23858, 34170])).
% 39.83/26.30 tff(34172,plain,
% 39.83/26.30 ($false),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[16932, 34171])).
% 39.83/26.30 tff(34173,plain,(~(constB148 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.30 tff(34174,assumption,(constB166 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.30 tff(34175,plain,
% 39.83/26.30 (v1(constB166) <=> v1(sK0_VarCurr)),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34174])).
% 39.83/26.30 tff(34176,plain,
% 39.83/26.30 (v1(sK0_VarCurr) <=> v1(constB166)),
% 39.83/26.30 inference(symmetry,[status(thm)],[34175])).
% 39.83/26.30 tff(34177,plain,
% 39.83/26.30 ((~v1(sK0_VarCurr)) <=> (~v1(constB166))),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34176])).
% 39.83/26.30 tff(34178,plain,
% 39.83/26.30 (~v1(constB166)),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[23858, 34177])).
% 39.83/26.30 tff(34179,plain,
% 39.83/26.30 ($false),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[19411, 34178])).
% 39.83/26.30 tff(34180,plain,(~(constB166 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.30 tff(34181,assumption,(constB32 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.30 tff(34182,plain,
% 39.83/26.30 (v1(constB32) <=> v1(sK0_VarCurr)),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34181])).
% 39.83/26.30 tff(34183,plain,
% 39.83/26.30 (v1(sK0_VarCurr) <=> v1(constB32)),
% 39.83/26.30 inference(symmetry,[status(thm)],[34182])).
% 39.83/26.30 tff(34184,plain,
% 39.83/26.30 ((~v1(sK0_VarCurr)) <=> (~v1(constB32))),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34183])).
% 39.83/26.30 tff(34185,plain,
% 39.83/26.30 (~v1(constB32)),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[23858, 34184])).
% 39.83/26.30 tff(34186,plain,
% 39.83/26.30 ($false),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[4155, 34185])).
% 39.83/26.30 tff(34187,plain,(~(constB32 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.30 tff(34188,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.30 tff(34189,plain,
% 39.83/26.30 (v162(constB141) <=> v162(sK0_VarCurr)),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34188])).
% 39.83/26.30 tff(34190,plain,
% 39.83/26.30 (v162(sK0_VarCurr) <=> v162(constB141)),
% 39.83/26.30 inference(symmetry,[status(thm)],[34189])).
% 39.83/26.30 tff(34191,plain,
% 39.83/26.30 (v162(constB141)),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[17398, 34190])).
% 39.83/26.30 tff(34192,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB135) | (~v138(constB135)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB135) | (~v138(constB135)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34193,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB135) | (~v138(constB135)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34194,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB135) | (~v138(constB135))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34193, 34192])).
% 39.83/26.30 tff(34195,plain,
% 39.83/26.30 (~v138(constB135)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34194, 17055, 28120])).
% 39.83/26.30 tff(34196,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB135) | (~v144(constB135)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB135) | (~v144(constB135)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34197,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB135) | (~v144(constB135)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34198,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB135) | (~v144(constB135))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34197, 34196])).
% 39.83/26.30 tff(34199,plain,
% 39.83/26.30 (~v144(constB135)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34198, 17003, 15761])).
% 39.83/26.30 tff(34200,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB135) | (~v142(constB135)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB135) | (~v142(constB135)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34201,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB135) | (~v142(constB135)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34202,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB135) | (~v142(constB135))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34201, 34200])).
% 39.83/26.30 tff(34203,plain,
% 39.83/26.30 (~v142(constB135)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34202, 17014, 34199])).
% 39.83/26.30 tff(34204,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB135) | v142(constB135) | (~v135(constB135)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB135) | v142(constB135) | (~v135(constB135)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34205,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB135) | v142(constB135) | (~v135(constB135)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34206,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB135) | v142(constB135) | (~v135(constB135))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34205, 34204])).
% 39.83/26.30 tff(34207,plain,
% 39.83/26.30 (v138(constB135) | (~v135(constB135))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34206, 17028, 34203])).
% 39.83/26.30 tff(34208,plain,
% 39.83/26.30 (~v135(constB135)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34207, 34195])).
% 39.83/26.30 tff(34209,plain,
% 39.83/26.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB135, constB136)) | v135(constB135) | (~v137(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB135, constB136)) | v135(constB135) | (~v137(constB136)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34210,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB135, constB136)) | v135(constB135) | (~v137(constB136)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34211,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB135, constB136)) | v135(constB135) | (~v137(constB136))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34210, 34209])).
% 39.83/26.30 tff(34212,plain,
% 39.83/26.30 (v135(constB135) | (~v137(constB136))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34211, 17043, 15703])).
% 39.83/26.30 tff(34213,plain,
% 39.83/26.30 (~v137(constB136)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34212, 34208])).
% 39.83/26.30 tff(34214,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB136) | (~v138(constB136)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB136) | (~v138(constB136)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34215,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB136) | (~v138(constB136)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34216,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB136) | (~v138(constB136))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34215, 34214])).
% 39.83/26.30 tff(34217,plain,
% 39.83/26.30 (~v138(constB136)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34216, 17055, 34213])).
% 39.83/26.30 tff(34218,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB136) | (~v144(constB136)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB136) | (~v144(constB136)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34219,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB136) | (~v144(constB136)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34220,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB136) | (~v144(constB136))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34219, 34218])).
% 39.83/26.30 tff(34221,plain,
% 39.83/26.30 (~v144(constB136)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34220, 17077, 26335])).
% 39.83/26.30 tff(34222,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB136) | (~v142(constB136)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB136) | (~v142(constB136)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34223,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB136) | (~v142(constB136)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34224,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB136) | (~v142(constB136))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34223, 34222])).
% 39.83/26.30 tff(34225,plain,
% 39.83/26.30 (~v142(constB136)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34224, 17014, 34221])).
% 39.83/26.30 tff(34226,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB136) | v142(constB136) | (~v135(constB136)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB136) | v142(constB136) | (~v135(constB136)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34227,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB136) | v142(constB136) | (~v135(constB136)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34228,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB136) | v142(constB136) | (~v135(constB136))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34227, 34226])).
% 39.83/26.30 tff(34229,plain,
% 39.83/26.30 (v138(constB136) | (~v135(constB136))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34228, 17028, 34225])).
% 39.83/26.30 tff(34230,plain,
% 39.83/26.30 (~v135(constB136)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34229, 34217])).
% 39.83/26.30 tff(34231,plain,
% 39.83/26.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB136, constB137)) | v135(constB136) | (~v137(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB136, constB137)) | v135(constB136) | (~v137(constB137)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34232,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB136, constB137)) | v135(constB136) | (~v137(constB137)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34233,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB136, constB137)) | v135(constB136) | (~v137(constB137))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34232, 34231])).
% 39.83/26.30 tff(34234,plain,
% 39.83/26.30 (v135(constB136) | (~v137(constB137))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34233, 17043, 15796])).
% 39.83/26.30 tff(34235,plain,
% 39.83/26.30 (~v137(constB137)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34234, 34230])).
% 39.83/26.30 tff(34236,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB137) | (~v154(constB137)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB137) | (~v154(constB137)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34237,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB137) | (~v154(constB137)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34238,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB137) | (~v154(constB137))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34237, 34236])).
% 39.83/26.30 tff(34239,plain,
% 39.83/26.30 (~v154(constB137)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34238, 17105, 34235])).
% 39.83/26.30 tff(34240,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB137) | (~v153(constB137)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB137) | (~v153(constB137)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34241,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB137) | (~v153(constB137)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34242,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB137) | (~v153(constB137))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34241, 34240])).
% 39.83/26.30 tff(34243,plain,
% 39.83/26.30 (~v153(constB137)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34242, 17197, 28156])).
% 39.83/26.30 tff(34244,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB137) | v154(constB137) | (~v150(constB137)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB137) | v154(constB137) | (~v150(constB137)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34245,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB137) | v154(constB137) | (~v150(constB137)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34246,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB137) | v154(constB137) | (~v150(constB137))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34245, 34244])).
% 39.83/26.30 tff(34247,plain,
% 39.83/26.30 (~v150(constB137)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34246, 17170, 34243, 34239])).
% 39.83/26.30 tff(34248,plain,
% 39.83/26.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB137, constB138)) | v150(constB137) | (~v152(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB137, constB138)) | v150(constB137) | (~v152(constB138)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34249,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB137, constB138)) | v150(constB137) | (~v152(constB138)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34250,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB137, constB138)) | v150(constB137) | (~v152(constB138))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34249, 34248])).
% 39.83/26.30 tff(34251,plain,
% 39.83/26.30 (v150(constB137) | (~v152(constB138))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34250, 17185, 15933])).
% 39.83/26.30 tff(34252,plain,
% 39.83/26.30 (~v152(constB138)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34251, 34247])).
% 39.83/26.30 tff(34253,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB138) | (~v153(constB138)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB138) | (~v153(constB138)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34254,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB138) | (~v153(constB138)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34255,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB138) | (~v153(constB138))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34254, 34253])).
% 39.83/26.30 tff(34256,plain,
% 39.83/26.30 (~v153(constB138)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34255, 17197, 34252])).
% 39.83/26.30 tff(34257,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB138) | (~v154(constB138)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB138) | (~v154(constB138)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34258,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB138) | (~v154(constB138)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34259,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB138) | (~v154(constB138))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34258, 34257])).
% 39.83/26.30 tff(34260,plain,
% 39.83/26.30 (~v154(constB138)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34259, 17223, 28189])).
% 39.83/26.30 tff(34261,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB138) | v154(constB138) | (~v150(constB138)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB138) | v154(constB138) | (~v150(constB138)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34262,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB138) | v154(constB138) | (~v150(constB138)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34263,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB138) | v154(constB138) | (~v150(constB138))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34262, 34261])).
% 39.83/26.30 tff(34264,plain,
% 39.83/26.30 (v153(constB138) | (~v150(constB138))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34263, 17170, 34260])).
% 39.83/26.30 tff(34265,plain,
% 39.83/26.30 (~v150(constB138)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34264, 34256])).
% 39.83/26.30 tff(34266,plain,
% 39.83/26.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB138, constB139)) | v150(constB138) | (~v152(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB138, constB139)) | v150(constB138) | (~v152(constB139)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34267,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB138, constB139)) | v150(constB138) | (~v152(constB139)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34268,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB138, constB139)) | v150(constB138) | (~v152(constB139))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34267, 34266])).
% 39.83/26.30 tff(34269,plain,
% 39.83/26.30 (v150(constB138) | (~v152(constB139))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34268, 17185, 15998])).
% 39.83/26.30 tff(34270,plain,
% 39.83/26.30 (~v152(constB139)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34269, 34265])).
% 39.83/26.30 tff(34271,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB139) | (~v164(constB139)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB139) | (~v164(constB139)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34272,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB139) | (~v164(constB139)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34273,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB139) | (~v164(constB139))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34272, 34271])).
% 39.83/26.30 tff(34274,plain,
% 39.83/26.30 (~v164(constB139)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34273, 17247, 34270])).
% 39.83/26.30 tff(34275,plain,
% 39.83/26.30 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB139)) | (~v163(constB139)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB139)) | (~v163(constB139)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34276,plain,
% 39.83/26.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB139)) | (~v163(constB139)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34277,plain,
% 39.83/26.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB139)) | (~v163(constB139))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34276, 34275])).
% 39.83/26.30 tff(34278,plain,
% 39.83/26.30 (~v163(constB139)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34277, 17298, 25265])).
% 39.83/26.30 tff(34279,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB139)) | v164(constB139) | v163(constB139))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB139)) | v164(constB139) | v163(constB139))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34280,plain,
% 39.83/26.30 ((v164(constB139) | v163(constB139) | (~v160(constB139))) <=> ((~v160(constB139)) | v164(constB139) | v163(constB139))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34281,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB139) | v163(constB139) | (~v160(constB139)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB139)) | v164(constB139) | v163(constB139)))),
% 39.83/26.30 inference(monotonicity,[status(thm)],[34280])).
% 39.83/26.30 tff(34282,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB139) | v163(constB139) | (~v160(constB139)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB139)) | v164(constB139) | v163(constB139))),
% 39.83/26.30 inference(transitivity,[status(thm)],[34281, 34279])).
% 39.83/26.30 tff(34283,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB139) | v163(constB139) | (~v160(constB139)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34284,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB139)) | v164(constB139) | v163(constB139)),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34283, 34282])).
% 39.83/26.30 tff(34285,plain,
% 39.83/26.30 ((~v160(constB139)) | v164(constB139)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34284, 17312, 34278])).
% 39.83/26.30 tff(34286,plain,
% 39.83/26.30 (~v160(constB139)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34285, 34274])).
% 39.83/26.30 tff(34287,plain,
% 39.83/26.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB139, constB140)) | v160(constB139) | (~v162(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB139, constB140)) | v160(constB139) | (~v162(constB140)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34288,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB139, constB140)) | v160(constB139) | (~v162(constB140)))),
% 39.83/26.30 inference(quant_inst,[status(thm)],[])).
% 39.83/26.30 tff(34289,plain,
% 39.83/26.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB139, constB140)) | v160(constB139) | (~v162(constB140))),
% 39.83/26.30 inference(modus_ponens,[status(thm)],[34288, 34287])).
% 39.83/26.30 tff(34290,plain,
% 39.83/26.30 (v160(constB139) | (~v162(constB140))),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34289, 17330, 16123])).
% 39.83/26.30 tff(34291,plain,
% 39.83/26.30 (~v162(constB140)),
% 39.83/26.30 inference(unit_resolution,[status(thm)],[34290, 34286])).
% 39.83/26.30 tff(34292,plain,
% 39.83/26.30 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB140) | (~v163(constB140)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB140) | (~v163(constB140)))),
% 39.83/26.30 inference(rewrite,[status(thm)],[])).
% 39.83/26.30 tff(34293,plain,
% 39.83/26.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB140) | (~v163(constB140)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34294,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB140) | (~v163(constB140))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34293, 34292])).
% 39.83/26.31 tff(34295,plain,
% 39.83/26.31 (~v163(constB140)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34294, 17342, 34291])).
% 39.83/26.31 tff(34296,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB140) | (~v155(constB140)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB140) | (~v155(constB140)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34297,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB140) | (~v155(constB140)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34298,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB140) | (~v155(constB140))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34297, 34296])).
% 39.83/26.31 tff(34299,plain,
% 39.83/26.31 (~v155(constB140)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34298, 17212, 25287])).
% 39.83/26.31 tff(34300,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB140) | (~v164(constB140)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB140) | (~v164(constB140)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34301,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB140) | (~v164(constB140)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34302,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB140) | (~v164(constB140))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34301, 34300])).
% 39.83/26.31 tff(34303,plain,
% 39.83/26.31 (~v164(constB140)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34302, 17361, 34299])).
% 39.83/26.31 tff(34304,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB140)) | v164(constB140) | v163(constB140))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB140)) | v164(constB140) | v163(constB140))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34305,plain,
% 39.83/26.31 ((v164(constB140) | v163(constB140) | (~v160(constB140))) <=> ((~v160(constB140)) | v164(constB140) | v163(constB140))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34306,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB140) | v163(constB140) | (~v160(constB140)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB140)) | v164(constB140) | v163(constB140)))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34305])).
% 39.83/26.31 tff(34307,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB140) | v163(constB140) | (~v160(constB140)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB140)) | v164(constB140) | v163(constB140))),
% 39.83/26.31 inference(transitivity,[status(thm)],[34306, 34304])).
% 39.83/26.31 tff(34308,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB140) | v163(constB140) | (~v160(constB140)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34309,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB140)) | v164(constB140) | v163(constB140)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34308, 34307])).
% 39.83/26.31 tff(34310,plain,
% 39.83/26.31 ((~v160(constB140)) | v163(constB140)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34309, 17312, 34303])).
% 39.83/26.31 tff(34311,plain,
% 39.83/26.31 (~v160(constB140)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34310, 34295])).
% 39.83/26.31 tff(34312,plain,
% 39.83/26.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB140, constB141)) | v160(constB140) | (~v162(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB140, constB141)) | v160(constB140) | (~v162(constB141)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34313,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB140, constB141)) | v160(constB140) | (~v162(constB141)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34314,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB140, constB141)) | v160(constB140) | (~v162(constB141))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34313, 34312])).
% 39.83/26.31 tff(34315,plain,
% 39.83/26.31 (v160(constB140) | (~v162(constB141))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34314, 17330, 16204])).
% 39.83/26.31 tff(34316,plain,
% 39.83/26.31 (~v162(constB141)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34315, 34311])).
% 39.83/26.31 tff(34317,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34316, 34191])).
% 39.83/26.31 tff(34318,plain,(~(constB141 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34319,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34320,plain,
% 39.83/26.31 (v162(constB145) <=> v162(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34319])).
% 39.83/26.31 tff(34321,plain,
% 39.83/26.31 (v162(sK0_VarCurr) <=> v162(constB145)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34320])).
% 39.83/26.31 tff(34322,plain,
% 39.83/26.31 (v162(constB145)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[17398, 34321])).
% 39.83/26.31 tff(34323,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[25387, 34322])).
% 39.83/26.31 tff(34324,plain,(~(constB145 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34325,assumption,(constB164 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34326,plain,
% 39.83/26.31 (v1(constB164) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34325])).
% 39.83/26.31 tff(34327,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB164)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34326])).
% 39.83/26.31 tff(34328,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB164))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34327])).
% 39.83/26.31 tff(34329,plain,
% 39.83/26.31 (~v1(constB164)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34328])).
% 39.83/26.31 tff(34330,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[19201, 34329])).
% 39.83/26.31 tff(34331,plain,(~(constB164 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34332,assumption,(constB3 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34333,plain,
% 39.83/26.31 (v162(constB3) <=> v162(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34332])).
% 39.83/26.31 tff(34334,plain,
% 39.83/26.31 (v162(sK0_VarCurr) <=> v162(constB3)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34333])).
% 39.83/26.31 tff(34335,plain,
% 39.83/26.31 (v162(constB3)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[17398, 34334])).
% 39.83/26.31 tff(34336,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[31080, 34335])).
% 39.83/26.31 tff(34337,plain,(~(constB3 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34338,assumption,(constB84 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34339,plain,
% 39.83/26.31 (v1(constB84) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34338])).
% 39.83/26.31 tff(34340,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB84)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34339])).
% 39.83/26.31 tff(34341,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB84))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34340])).
% 39.83/26.31 tff(34342,plain,
% 39.83/26.31 (~v1(constB84)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34341])).
% 39.83/26.31 tff(34343,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[10048, 34342])).
% 39.83/26.31 tff(34344,plain,(~(constB84 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34345,assumption,(constB112 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34346,plain,
% 39.83/26.31 (v1(constB112) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34345])).
% 39.83/26.31 tff(34347,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB112)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34346])).
% 39.83/26.31 tff(34348,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB112))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34347])).
% 39.83/26.31 tff(34349,plain,
% 39.83/26.31 (~v1(constB112)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34348])).
% 39.83/26.31 tff(34350,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[13253, 34349])).
% 39.83/26.31 tff(34351,plain,(~(constB112 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34352,assumption,(constB5 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34353,plain,
% 39.83/26.31 (v162(constB5) <=> v162(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34352])).
% 39.83/26.31 tff(34354,plain,
% 39.83/26.31 (v162(sK0_VarCurr) <=> v162(constB5)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34353])).
% 39.83/26.31 tff(34355,plain,
% 39.83/26.31 (v162(constB5)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[17398, 34354])).
% 39.83/26.31 tff(34356,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[31117, 34355])).
% 39.83/26.31 tff(34357,plain,(~(constB5 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34358,assumption,(constB88 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34359,plain,
% 39.83/26.31 (v1(constB88) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34358])).
% 39.83/26.31 tff(34360,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB88)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34359])).
% 39.83/26.31 tff(34361,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB88))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34360])).
% 39.83/26.31 tff(34362,plain,
% 39.83/26.31 (~v1(constB88)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34361])).
% 39.83/26.31 tff(34363,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[10451, 34362])).
% 39.83/26.31 tff(34364,plain,(~(constB88 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34365,assumption,(constB92 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34366,plain,
% 39.83/26.31 (v1(constB92) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34365])).
% 39.83/26.31 tff(34367,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB92)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34366])).
% 39.83/26.31 tff(34368,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB92))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34367])).
% 39.83/26.31 tff(34369,plain,
% 39.83/26.31 (~v1(constB92)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34368])).
% 39.83/26.31 tff(34370,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[11176, 34369])).
% 39.83/26.31 tff(34371,plain,(~(constB92 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34372,assumption,(constB34 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34373,plain,
% 39.83/26.31 (v1(constB34) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34372])).
% 39.83/26.31 tff(34374,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB34)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34373])).
% 39.83/26.31 tff(34375,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB34))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34374])).
% 39.83/26.31 tff(34376,plain,
% 39.83/26.31 (~v1(constB34)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34375])).
% 39.83/26.31 tff(34377,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[4341, 34376])).
% 39.83/26.31 tff(34378,plain,(~(constB34 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34379,assumption,(constB116 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34380,plain,
% 39.83/26.31 (v1(constB116) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34379])).
% 39.83/26.31 tff(34381,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB116)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34380])).
% 39.83/26.31 tff(34382,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB116))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34381])).
% 39.83/26.31 tff(34383,plain,
% 39.83/26.31 (~v1(constB116)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34382])).
% 39.83/26.31 tff(34384,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[13682, 34383])).
% 39.83/26.31 tff(34385,plain,(~(constB116 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34386,assumption,(constB0 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34387,plain,
% 39.83/26.31 (v162(constB0) <=> v162(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34386])).
% 39.83/26.31 tff(34388,plain,
% 39.83/26.31 (v162(sK0_VarCurr) <=> v162(constB0)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34387])).
% 39.83/26.31 tff(34389,plain,
% 39.83/26.31 (v162(constB0)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[17398, 34388])).
% 39.83/26.31 tff(34390,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[28228, 34389])).
% 39.83/26.31 tff(34391,plain,(~(constB0 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34392,assumption,(constB110 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34393,plain,
% 39.83/26.31 (v1(constB110) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34392])).
% 39.83/26.31 tff(34394,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB110)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34393])).
% 39.83/26.31 tff(34395,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB110))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34394])).
% 39.83/26.31 tff(34396,plain,
% 39.83/26.31 (~v1(constB110)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34395])).
% 39.83/26.31 tff(34397,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[13079, 34396])).
% 39.83/26.31 tff(34398,plain,(~(constB110 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34399,assumption,(constB38 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34400,plain,
% 39.83/26.31 (v1(constB38) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34399])).
% 39.83/26.31 tff(34401,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB38)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34400])).
% 39.83/26.31 tff(34402,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB38))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34401])).
% 39.83/26.31 tff(34403,plain,
% 39.83/26.31 (~v1(constB38)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34402])).
% 39.83/26.31 tff(34404,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[4751, 34403])).
% 39.83/26.31 tff(34405,plain,(~(constB38 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34406,assumption,(constB70 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34407,plain,
% 39.83/26.31 (v1(constB70) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34406])).
% 39.83/26.31 tff(34408,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB70)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34407])).
% 39.83/26.31 tff(34409,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB70))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34408])).
% 39.83/26.31 tff(34410,plain,
% 39.83/26.31 (~v1(constB70)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34409])).
% 39.83/26.31 tff(34411,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[8423, 34410])).
% 39.83/26.31 tff(34412,plain,(~(constB70 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34413,assumption,(constB192 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34414,plain,
% 39.83/26.31 (v1(constB192) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34413])).
% 39.83/26.31 tff(34415,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB192)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34414])).
% 39.83/26.31 tff(34416,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB192))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34415])).
% 39.83/26.31 tff(34417,plain,
% 39.83/26.31 (~v1(constB192)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34416])).
% 39.83/26.31 tff(34418,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[22593, 34417])).
% 39.83/26.31 tff(34419,plain,(~(constB192 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34420,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34421,plain,
% 39.83/26.31 (v1(constB42) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34420])).
% 39.83/26.31 tff(34422,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB42)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34421])).
% 39.83/26.31 tff(34423,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34422])).
% 39.83/26.31 tff(34424,plain,
% 39.83/26.31 (~v1(constB42)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34423])).
% 39.83/26.31 tff(34425,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[5133, 34424])).
% 39.83/26.31 tff(34426,plain,(~(constB42 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34427,assumption,(constB120 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.31 tff(34428,plain,
% 39.83/26.31 (v1(constB120) <=> v1(sK0_VarCurr)),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34427])).
% 39.83/26.31 tff(34429,plain,
% 39.83/26.31 (v1(sK0_VarCurr) <=> v1(constB120)),
% 39.83/26.31 inference(symmetry,[status(thm)],[34428])).
% 39.83/26.31 tff(34430,plain,
% 39.83/26.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB120))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34429])).
% 39.83/26.31 tff(34431,plain,
% 39.83/26.31 (~v1(constB120)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[23858, 34430])).
% 39.83/26.31 tff(34432,plain,
% 39.83/26.31 ($false),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[14107, 34431])).
% 39.83/26.31 tff(34433,plain,(~(constB120 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.31 tff(34434,plain,
% 39.83/26.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB153, bitIndex2)) | (~v145(constB153)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB153, bitIndex2)) | (~v145(constB153)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34435,plain,
% 39.83/26.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB153, bitIndex2)) | (~v145(constB153)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34436,plain,
% 39.83/26.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB153, bitIndex2)) | (~v145(constB153))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34435, 34434])).
% 39.83/26.31 tff(34437,plain,
% 39.83/26.31 (~v145(constB153)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34436, 5709, 18065])).
% 39.83/26.31 tff(34438,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB153) | (~v144(constB153)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB153) | (~v144(constB153)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34439,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB153) | (~v144(constB153)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34440,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB153) | (~v144(constB153))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34439, 34438])).
% 39.83/26.31 tff(34441,plain,
% 39.83/26.31 (~v144(constB153)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34440, 17003, 34437])).
% 39.83/26.31 tff(34442,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB153) | (~v142(constB153)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB153) | (~v142(constB153)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34443,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB153) | (~v142(constB153)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34444,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB153) | (~v142(constB153))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34443, 34442])).
% 39.83/26.31 tff(34445,plain,
% 39.83/26.31 (~v142(constB153)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34444, 17014, 34441])).
% 39.83/26.31 tff(34446,plain,
% 39.83/26.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB153)) | (~v140(constB153)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB153)) | (~v140(constB153)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34447,plain,
% 39.83/26.31 (((~v140(constB153)) | (~v138(constB153))) <=> ((~v138(constB153)) | (~v140(constB153)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34448,plain,
% 39.83/26.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB153)) | (~v138(constB153)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB153)) | (~v140(constB153))))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34447])).
% 39.83/26.31 tff(34449,plain,
% 39.83/26.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB153)) | (~v138(constB153)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB153)) | (~v140(constB153)))),
% 39.83/26.31 inference(transitivity,[status(thm)],[34448, 34446])).
% 39.83/26.31 tff(34450,plain,
% 39.83/26.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB153)) | (~v138(constB153)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34451,plain,
% 39.83/26.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB153)) | (~v140(constB153))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34450, 34449])).
% 39.83/26.31 tff(34452,plain,
% 39.83/26.31 (~v138(constB153)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34451, 108, 17291])).
% 39.83/26.31 tff(34453,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB153) | v142(constB153) | (~v135(constB153)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB153) | v142(constB153) | (~v135(constB153)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34454,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB153) | v142(constB153) | (~v135(constB153)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34455,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB153) | v142(constB153) | (~v135(constB153))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34454, 34453])).
% 39.83/26.31 tff(34456,plain,
% 39.83/26.31 (v142(constB153) | (~v135(constB153))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34455, 17028, 34452])).
% 39.83/26.31 tff(34457,plain,
% 39.83/26.31 (~v135(constB153)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34456, 34445])).
% 39.83/26.31 tff(34458,plain,
% 39.83/26.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34459,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34460,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34459, 34458])).
% 39.83/26.31 tff(34461,plain,
% 39.83/26.31 (v135(constB153) | (~v137(constB154))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34460, 17043, 17274])).
% 39.83/26.31 tff(34462,plain,
% 39.83/26.31 (~v137(constB154)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34461, 34457])).
% 39.83/26.31 tff(34463,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB154) | (~v138(constB154)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB154) | (~v138(constB154)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34464,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB154) | (~v138(constB154)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34465,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB154) | (~v138(constB154))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34464, 34463])).
% 39.83/26.31 tff(34466,plain,
% 39.83/26.31 (~v138(constB154)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34465, 17055, 34462])).
% 39.83/26.31 tff(34467,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB154) | (~v144(constB154)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB154) | (~v144(constB154)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34468,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB154) | (~v144(constB154)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34469,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB154) | (~v144(constB154))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34468, 34467])).
% 39.83/26.31 tff(34470,plain,
% 39.83/26.31 (~v144(constB154)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34469, 17077, 17350])).
% 39.83/26.31 tff(34471,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB154) | (~v142(constB154)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB154) | (~v142(constB154)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34472,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB154) | (~v142(constB154)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34473,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB154) | (~v142(constB154))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34472, 34471])).
% 39.83/26.31 tff(34474,plain,
% 39.83/26.31 (~v142(constB154)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34473, 17014, 34470])).
% 39.83/26.31 tff(34475,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB154) | v142(constB154) | (~v135(constB154)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB154) | v142(constB154) | (~v135(constB154)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34476,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB154) | v142(constB154) | (~v135(constB154)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34477,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB154) | v142(constB154) | (~v135(constB154))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34476, 34475])).
% 39.83/26.31 tff(34478,plain,
% 39.83/26.31 (v138(constB154) | (~v135(constB154))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34477, 17028, 34474])).
% 39.83/26.31 tff(34479,plain,
% 39.83/26.31 (~v135(constB154)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34478, 34466])).
% 39.83/26.31 tff(34480,plain,
% 39.83/26.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34481,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34482,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34481, 34480])).
% 39.83/26.31 tff(34483,plain,
% 39.83/26.31 (v135(constB154) | (~v137(constB155))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34482, 17043, 17376])).
% 39.83/26.31 tff(34484,plain,
% 39.83/26.31 (~v137(constB155)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34483, 34479])).
% 39.83/26.31 tff(34485,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB155) | (~v154(constB155)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB155) | (~v154(constB155)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34486,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB155) | (~v154(constB155)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34487,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB155) | (~v154(constB155))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34486, 34485])).
% 39.83/26.31 tff(34488,plain,
% 39.83/26.31 (~v154(constB155)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34487, 17105, 34484])).
% 39.83/26.31 tff(34489,plain,
% 39.83/26.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB155)) | (~v153(constB155)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB155)) | (~v153(constB155)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34490,plain,
% 39.83/26.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB155)) | (~v153(constB155)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34491,plain,
% 39.83/26.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB155)) | (~v153(constB155))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34490, 34489])).
% 39.83/26.31 tff(34492,plain,
% 39.83/26.31 (~v153(constB155)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34491, 17156, 25821])).
% 39.83/26.31 tff(34493,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB155) | v154(constB155) | (~v150(constB155)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB155) | v154(constB155) | (~v150(constB155)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34494,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB155) | v154(constB155) | (~v150(constB155)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34495,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB155) | v154(constB155) | (~v150(constB155))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34494, 34493])).
% 39.83/26.31 tff(34496,plain,
% 39.83/26.31 (v154(constB155) | (~v150(constB155))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34495, 17170, 34492])).
% 39.83/26.31 tff(34497,plain,
% 39.83/26.31 (~v150(constB155)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34496, 34488])).
% 39.83/26.31 tff(34498,plain,
% 39.83/26.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34499,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34500,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34499, 34498])).
% 39.83/26.31 tff(34501,plain,
% 39.83/26.31 (v150(constB155) | (~v152(constB156))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34500, 17185, 18374])).
% 39.83/26.31 tff(34502,plain,
% 39.83/26.31 (~v152(constB156)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34501, 34497])).
% 39.83/26.31 tff(34503,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB156) | (~v153(constB156)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB156) | (~v153(constB156)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34504,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB156) | (~v153(constB156)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34505,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB156) | (~v153(constB156))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34504, 34503])).
% 39.83/26.31 tff(34506,plain,
% 39.83/26.31 (~v153(constB156)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34505, 17197, 34502])).
% 39.83/26.31 tff(34507,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB156) | (~v154(constB156)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB156) | (~v154(constB156)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34508,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB156) | (~v154(constB156)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34509,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB156) | (~v154(constB156))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34508, 34507])).
% 39.83/26.31 tff(34510,plain,
% 39.83/26.31 (~v154(constB156)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34509, 17223, 27794])).
% 39.83/26.31 tff(34511,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB156) | v154(constB156) | (~v150(constB156)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB156) | v154(constB156) | (~v150(constB156)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34512,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB156) | v154(constB156) | (~v150(constB156)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34513,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB156) | v154(constB156) | (~v150(constB156))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34512, 34511])).
% 39.83/26.31 tff(34514,plain,
% 39.83/26.31 (v153(constB156) | (~v150(constB156))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34513, 17170, 34510])).
% 39.83/26.31 tff(34515,plain,
% 39.83/26.31 (~v150(constB156)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34514, 34506])).
% 39.83/26.31 tff(34516,plain,
% 39.83/26.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34517,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34518,plain,
% 39.83/26.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34517, 34516])).
% 39.83/26.31 tff(34519,plain,
% 39.83/26.31 (v150(constB156) | (~v152(constB157))),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34518, 17185, 18467])).
% 39.83/26.31 tff(34520,plain,
% 39.83/26.31 (~v152(constB157)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34519, 34515])).
% 39.83/26.31 tff(34521,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB157) | (~v164(constB157)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB157) | (~v164(constB157)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34522,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB157) | (~v164(constB157)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34523,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB157) | (~v164(constB157))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34522, 34521])).
% 39.83/26.31 tff(34524,plain,
% 39.83/26.31 (~v164(constB157)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34523, 17247, 34520])).
% 39.83/26.31 tff(34525,plain,
% 39.83/26.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB157)) | (~v163(constB157)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB157)) | (~v163(constB157)))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34526,plain,
% 39.83/26.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB157)) | (~v163(constB157)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34527,plain,
% 39.83/26.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB157)) | (~v163(constB157))),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34526, 34525])).
% 39.83/26.31 tff(34528,plain,
% 39.83/26.31 (~v163(constB157)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34527, 17298, 25896])).
% 39.83/26.31 tff(34529,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB157)) | v164(constB157) | v163(constB157))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB157)) | v164(constB157) | v163(constB157))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34530,plain,
% 39.83/26.31 ((v164(constB157) | v163(constB157) | (~v160(constB157))) <=> ((~v160(constB157)) | v164(constB157) | v163(constB157))),
% 39.83/26.31 inference(rewrite,[status(thm)],[])).
% 39.83/26.31 tff(34531,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB157) | v163(constB157) | (~v160(constB157)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB157)) | v164(constB157) | v163(constB157)))),
% 39.83/26.31 inference(monotonicity,[status(thm)],[34530])).
% 39.83/26.31 tff(34532,plain,
% 39.83/26.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB157) | v163(constB157) | (~v160(constB157)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB157)) | v164(constB157) | v163(constB157))),
% 39.83/26.31 inference(transitivity,[status(thm)],[34531, 34529])).
% 39.83/26.31 tff(34533,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB157) | v163(constB157) | (~v160(constB157)))),
% 39.83/26.31 inference(quant_inst,[status(thm)],[])).
% 39.83/26.31 tff(34534,plain,
% 39.83/26.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB157)) | v164(constB157) | v163(constB157)),
% 39.83/26.31 inference(modus_ponens,[status(thm)],[34533, 34532])).
% 39.83/26.31 tff(34535,plain,
% 39.83/26.31 ((~v160(constB157)) | v164(constB157)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34534, 17312, 34528])).
% 39.83/26.31 tff(34536,plain,
% 39.83/26.31 (~v160(constB157)),
% 39.83/26.31 inference(unit_resolution,[status(thm)],[34535, 34524])).
% 39.83/26.31 tff(34537,plain,
% 39.83/26.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34538,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34539,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34538, 34537])).
% 39.83/26.32 tff(34540,plain,
% 39.83/26.32 (v160(constB157) | (~v162(constB158))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34539, 17330, 18608])).
% 39.83/26.32 tff(34541,plain,
% 39.83/26.32 (~v162(constB158)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34540, 34536])).
% 39.83/26.32 tff(34542,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB158) | (~v163(constB158)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB158) | (~v163(constB158)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34543,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB158) | (~v163(constB158)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34544,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB158) | (~v163(constB158))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34543, 34542])).
% 39.83/26.32 tff(34545,plain,
% 39.83/26.32 (~v163(constB158)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34544, 17342, 34541])).
% 39.83/26.32 tff(34546,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB158) | (~v164(constB158)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB158) | (~v164(constB158)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34547,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB158) | (~v164(constB158)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34548,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB158) | (~v164(constB158))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34547, 34546])).
% 39.83/26.32 tff(34549,plain,
% 39.83/26.32 (~v164(constB158)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34548, 17361, 25922])).
% 39.83/26.32 tff(34550,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB158)) | v164(constB158) | v163(constB158))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB158)) | v164(constB158) | v163(constB158))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34551,plain,
% 39.83/26.32 ((v164(constB158) | v163(constB158) | (~v160(constB158))) <=> ((~v160(constB158)) | v164(constB158) | v163(constB158))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34552,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB158) | v163(constB158) | (~v160(constB158)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB158)) | v164(constB158) | v163(constB158)))),
% 39.83/26.32 inference(monotonicity,[status(thm)],[34551])).
% 39.83/26.32 tff(34553,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB158) | v163(constB158) | (~v160(constB158)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB158)) | v164(constB158) | v163(constB158))),
% 39.83/26.32 inference(transitivity,[status(thm)],[34552, 34550])).
% 39.83/26.32 tff(34554,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB158) | v163(constB158) | (~v160(constB158)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34555,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB158)) | v164(constB158) | v163(constB158)),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34554, 34553])).
% 39.83/26.32 tff(34556,plain,
% 39.83/26.32 ((~v160(constB158)) | v163(constB158)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34555, 17312, 34549])).
% 39.83/26.32 tff(34557,plain,
% 39.83/26.32 (~v160(constB158)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34556, 34545])).
% 39.83/26.32 tff(34558,plain,
% 39.83/26.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34559,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34560,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34559, 34558])).
% 39.83/26.32 tff(34561,plain,
% 39.83/26.32 (v160(constB158) | (~v162(constB159))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34560, 17330, 18673])).
% 39.83/26.32 tff(34562,plain,
% 39.83/26.32 (~v162(constB159)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34561, 34557])).
% 39.83/26.32 tff(34563,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.32 tff(34564,plain,
% 39.83/26.32 (v162(constB159) <=> v162(sK0_VarCurr)),
% 39.83/26.32 inference(monotonicity,[status(thm)],[34563])).
% 39.83/26.32 tff(34565,plain,
% 39.83/26.32 (v162(sK0_VarCurr) <=> v162(constB159)),
% 39.83/26.32 inference(symmetry,[status(thm)],[34564])).
% 39.83/26.32 tff(34566,plain,
% 39.83/26.32 (v162(constB159)),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[17398, 34565])).
% 39.83/26.32 tff(34567,assumption,(~v162(constB159)), introduced(assumption)).
% 39.83/26.32 tff(34568,plain,
% 39.83/26.32 ($false),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34567, 34566])).
% 39.83/26.32 tff(34569,plain,((~(constB159 = sK0_VarCurr)) | v162(constB159)), inference(lemma,lemma(discharge,[]))).
% 39.83/26.32 tff(34570,plain,
% 39.83/26.32 (~(constB159 = sK0_VarCurr)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34569, 34562])).
% 39.83/26.32 tff(34571,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB185) | (~v144(constB185)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB185) | (~v144(constB185)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34572,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB185) | (~v144(constB185)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34573,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB185) | (~v144(constB185))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34572, 34571])).
% 39.83/26.32 tff(34574,plain,
% 39.83/26.32 (~v144(constB185)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34573, 17003, 21986])).
% 39.83/26.32 tff(34575,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB185) | (~v142(constB185)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34576,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB185) | (~v142(constB185)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34577,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB185) | (~v142(constB185))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34576, 34575])).
% 39.83/26.32 tff(34578,plain,
% 39.83/26.32 (~v142(constB185)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34577, 17014, 34574])).
% 39.83/26.32 tff(34579,plain,
% 39.83/26.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB185)) | (~v140(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB185)) | (~v140(constB185)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34580,plain,
% 39.83/26.32 (((~v140(constB185)) | (~v138(constB185))) <=> ((~v138(constB185)) | (~v140(constB185)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34581,plain,
% 39.83/26.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB185)) | (~v138(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB185)) | (~v140(constB185))))),
% 39.83/26.32 inference(monotonicity,[status(thm)],[34580])).
% 39.83/26.32 tff(34582,plain,
% 39.83/26.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB185)) | (~v138(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB185)) | (~v140(constB185)))),
% 39.83/26.32 inference(transitivity,[status(thm)],[34581, 34579])).
% 39.83/26.32 tff(34583,plain,
% 39.83/26.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB185)) | (~v138(constB185)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34584,plain,
% 39.83/26.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB185)) | (~v140(constB185))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34583, 34582])).
% 39.83/26.32 tff(34585,plain,
% 39.83/26.32 (~v138(constB185)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34584, 108, 26545])).
% 39.83/26.32 tff(34586,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB185) | v142(constB185) | (~v135(constB185)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB185) | v142(constB185) | (~v135(constB185)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34587,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB185) | v142(constB185) | (~v135(constB185)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34588,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB185) | v142(constB185) | (~v135(constB185))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34587, 34586])).
% 39.83/26.32 tff(34589,plain,
% 39.83/26.32 (v142(constB185) | (~v135(constB185))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34588, 17028, 34585])).
% 39.83/26.32 tff(34590,plain,
% 39.83/26.32 (~v135(constB185)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34589, 34578])).
% 39.83/26.32 tff(34591,plain,
% 39.83/26.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34592,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34593,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34592, 34591])).
% 39.83/26.32 tff(34594,plain,
% 39.83/26.32 (v135(constB185) | (~v137(constB186))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34593, 17043, 21928])).
% 39.83/26.32 tff(34595,plain,
% 39.83/26.32 (~v137(constB186)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34594, 34590])).
% 39.83/26.32 tff(34596,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB186) | (~v138(constB186)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB186) | (~v138(constB186)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34597,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB186) | (~v138(constB186)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34598,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB186) | (~v138(constB186))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34597, 34596])).
% 39.83/26.32 tff(34599,plain,
% 39.83/26.32 (~v138(constB186)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34598, 17055, 34595])).
% 39.83/26.32 tff(34600,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB186) | (~v144(constB186)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB186) | (~v144(constB186)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34601,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB186) | (~v144(constB186)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34602,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB186) | (~v144(constB186))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34601, 34600])).
% 39.83/26.32 tff(34603,plain,
% 39.83/26.32 (~v144(constB186)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34602, 17077, 26567])).
% 39.83/26.32 tff(34604,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB186) | (~v142(constB186)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB186) | (~v142(constB186)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34605,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB186) | (~v142(constB186)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34606,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB186) | (~v142(constB186))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34605, 34604])).
% 39.83/26.32 tff(34607,plain,
% 39.83/26.32 (~v142(constB186)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34606, 17014, 34603])).
% 39.83/26.32 tff(34608,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB186) | v142(constB186) | (~v135(constB186)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB186) | v142(constB186) | (~v135(constB186)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34609,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB186) | v142(constB186) | (~v135(constB186)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34610,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB186) | v142(constB186) | (~v135(constB186))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34609, 34608])).
% 39.83/26.32 tff(34611,plain,
% 39.83/26.32 (v138(constB186) | (~v135(constB186))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34610, 17028, 34607])).
% 39.83/26.32 tff(34612,plain,
% 39.83/26.32 (~v135(constB186)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34611, 34599])).
% 39.83/26.32 tff(34613,plain,
% 39.83/26.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34614,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34615,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34614, 34613])).
% 39.83/26.32 tff(34616,plain,
% 39.83/26.32 (v135(constB186) | (~v137(constB187))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34615, 17043, 22020])).
% 39.83/26.32 tff(34617,plain,
% 39.83/26.32 (~v137(constB187)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34616, 34612])).
% 39.83/26.32 tff(34618,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB187) | (~v154(constB187)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB187) | (~v154(constB187)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34619,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB187) | (~v154(constB187)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34620,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB187) | (~v154(constB187))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34619, 34618])).
% 39.83/26.32 tff(34621,plain,
% 39.83/26.32 (~v154(constB187)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34620, 17105, 34617])).
% 39.83/26.32 tff(34622,plain,
% 39.83/26.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB187)) | (~v153(constB187)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB187)) | (~v153(constB187)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34623,plain,
% 39.83/26.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB187)) | (~v153(constB187)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34624,plain,
% 39.83/26.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB187)) | (~v153(constB187))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 39.83/26.32 tff(34625,plain,
% 39.83/26.32 (~v153(constB187)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34624, 17156, 26620])).
% 39.83/26.32 tff(34626,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB187) | v154(constB187) | (~v150(constB187)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB187) | v154(constB187) | (~v150(constB187)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34627,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB187) | v154(constB187) | (~v150(constB187)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34628,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB187) | v154(constB187) | (~v150(constB187))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34627, 34626])).
% 39.83/26.32 tff(34629,plain,
% 39.83/26.32 (v154(constB187) | (~v150(constB187))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34628, 17170, 34625])).
% 39.83/26.32 tff(34630,plain,
% 39.83/26.32 (~v150(constB187)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34629, 34621])).
% 39.83/26.32 tff(34631,plain,
% 39.83/26.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34632,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34633,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34632, 34631])).
% 39.83/26.32 tff(34634,plain,
% 39.83/26.32 (v150(constB187) | (~v152(constB188))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34633, 17185, 22163])).
% 39.83/26.32 tff(34635,plain,
% 39.83/26.32 (~v152(constB188)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34634, 34630])).
% 39.83/26.32 tff(34636,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB188) | (~v153(constB188)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB188) | (~v153(constB188)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34637,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB188) | (~v153(constB188)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34638,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB188) | (~v153(constB188))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34637, 34636])).
% 39.83/26.32 tff(34639,plain,
% 39.83/26.32 (~v153(constB188)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34638, 17197, 34635])).
% 39.83/26.32 tff(34640,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB188) | (~v154(constB188)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB188) | (~v154(constB188)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34641,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB188) | (~v154(constB188)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34642,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB188) | (~v154(constB188))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34641, 34640])).
% 39.83/26.32 tff(34643,plain,
% 39.83/26.32 (~v154(constB188)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34642, 17223, 26649])).
% 39.83/26.32 tff(34644,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB188) | v154(constB188) | (~v150(constB188)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB188) | v154(constB188) | (~v150(constB188)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34645,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB188) | v154(constB188) | (~v150(constB188)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34646,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB188) | v154(constB188) | (~v150(constB188))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34645, 34644])).
% 39.83/26.32 tff(34647,plain,
% 39.83/26.32 (v153(constB188) | (~v150(constB188))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34646, 17170, 34643])).
% 39.83/26.32 tff(34648,plain,
% 39.83/26.32 (~v150(constB188)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34647, 34639])).
% 39.83/26.32 tff(34649,plain,
% 39.83/26.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34650,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34651,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34650, 34649])).
% 39.83/26.32 tff(34652,plain,
% 39.83/26.32 (v150(constB188) | (~v152(constB189))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34651, 17185, 22232])).
% 39.83/26.32 tff(34653,plain,
% 39.83/26.32 (~v152(constB189)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34652, 34648])).
% 39.83/26.32 tff(34654,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB189) | (~v164(constB189)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB189) | (~v164(constB189)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34655,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB189) | (~v164(constB189)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34656,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB189) | (~v164(constB189))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34655, 34654])).
% 39.83/26.32 tff(34657,plain,
% 39.83/26.32 (~v164(constB189)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34656, 17247, 34653])).
% 39.83/26.32 tff(34658,plain,
% 39.83/26.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB189)) | (~v163(constB189)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB189)) | (~v163(constB189)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34659,plain,
% 39.83/26.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB189)) | (~v163(constB189)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34660,plain,
% 39.83/26.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB189)) | (~v163(constB189))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34659, 34658])).
% 39.83/26.32 tff(34661,plain,
% 39.83/26.32 (~v163(constB189)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34660, 17298, 24675])).
% 39.83/26.32 tff(34662,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB189)) | v164(constB189) | v163(constB189))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB189)) | v164(constB189) | v163(constB189))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34663,plain,
% 39.83/26.32 ((v164(constB189) | v163(constB189) | (~v160(constB189))) <=> ((~v160(constB189)) | v164(constB189) | v163(constB189))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34664,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB189) | v163(constB189) | (~v160(constB189)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB189)) | v164(constB189) | v163(constB189)))),
% 39.83/26.32 inference(monotonicity,[status(thm)],[34663])).
% 39.83/26.32 tff(34665,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB189) | v163(constB189) | (~v160(constB189)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB189)) | v164(constB189) | v163(constB189))),
% 39.83/26.32 inference(transitivity,[status(thm)],[34664, 34662])).
% 39.83/26.32 tff(34666,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB189) | v163(constB189) | (~v160(constB189)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34667,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB189)) | v164(constB189) | v163(constB189)),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34666, 34665])).
% 39.83/26.32 tff(34668,plain,
% 39.83/26.32 ((~v160(constB189)) | v164(constB189)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34667, 17312, 34661])).
% 39.83/26.32 tff(34669,plain,
% 39.83/26.32 (~v160(constB189)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34668, 34657])).
% 39.83/26.32 tff(34670,plain,
% 39.83/26.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34671,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34672,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34671, 34670])).
% 39.83/26.32 tff(34673,plain,
% 39.83/26.32 (v160(constB189) | (~v162(constB190))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34672, 17330, 22334])).
% 39.83/26.32 tff(34674,plain,
% 39.83/26.32 (~v162(constB190)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34673, 34669])).
% 39.83/26.32 tff(34675,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB190) | (~v163(constB190)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB190) | (~v163(constB190)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34676,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB190) | (~v163(constB190)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34677,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB190) | (~v163(constB190))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34676, 34675])).
% 39.83/26.32 tff(34678,plain,
% 39.83/26.32 (~v163(constB190)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34677, 17342, 34674])).
% 39.83/26.32 tff(34679,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB190) | (~v155(constB190)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB190) | (~v155(constB190)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34680,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB190) | (~v155(constB190)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34681,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB190) | (~v155(constB190))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34680, 34679])).
% 39.83/26.32 tff(34682,plain,
% 39.83/26.32 (~v155(constB190)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34681, 17212, 24697])).
% 39.83/26.32 tff(34683,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB190) | (~v164(constB190)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB190) | (~v164(constB190)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34684,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB190) | (~v164(constB190)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34685,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB190) | (~v164(constB190))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34684, 34683])).
% 39.83/26.32 tff(34686,plain,
% 39.83/26.32 (~v164(constB190)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34685, 17361, 34682])).
% 39.83/26.32 tff(34687,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB190)) | v164(constB190) | v163(constB190))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB190)) | v164(constB190) | v163(constB190))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34688,plain,
% 39.83/26.32 ((v164(constB190) | v163(constB190) | (~v160(constB190))) <=> ((~v160(constB190)) | v164(constB190) | v163(constB190))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34689,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB190) | v163(constB190) | (~v160(constB190)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB190)) | v164(constB190) | v163(constB190)))),
% 39.83/26.32 inference(monotonicity,[status(thm)],[34688])).
% 39.83/26.32 tff(34690,plain,
% 39.83/26.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB190) | v163(constB190) | (~v160(constB190)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB190)) | v164(constB190) | v163(constB190))),
% 39.83/26.32 inference(transitivity,[status(thm)],[34689, 34687])).
% 39.83/26.32 tff(34691,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB190) | v163(constB190) | (~v160(constB190)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34692,plain,
% 39.83/26.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB190)) | v164(constB190) | v163(constB190)),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34691, 34690])).
% 39.83/26.32 tff(34693,plain,
% 39.83/26.32 ((~v160(constB190)) | v163(constB190)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34692, 17312, 34686])).
% 39.83/26.32 tff(34694,plain,
% 39.83/26.32 (~v160(constB190)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34693, 34678])).
% 39.83/26.32 tff(34695,plain,
% 39.83/26.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))),
% 39.83/26.32 inference(rewrite,[status(thm)],[])).
% 39.83/26.32 tff(34696,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))),
% 39.83/26.32 inference(quant_inst,[status(thm)],[])).
% 39.83/26.32 tff(34697,plain,
% 39.83/26.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191))),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[34696, 34695])).
% 39.83/26.32 tff(34698,plain,
% 39.83/26.32 (v160(constB190) | (~v162(constB191))),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34697, 17330, 22450])).
% 39.83/26.32 tff(34699,plain,
% 39.83/26.32 (~v162(constB191)),
% 39.83/26.32 inference(unit_resolution,[status(thm)],[34698, 34694])).
% 39.83/26.32 tff(34700,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 39.83/26.32 tff(34701,plain,
% 39.83/26.32 (v162(constB191) <=> v162(sK0_VarCurr)),
% 39.83/26.32 inference(monotonicity,[status(thm)],[34700])).
% 39.83/26.32 tff(34702,plain,
% 39.83/26.32 (v162(sK0_VarCurr) <=> v162(constB191)),
% 39.83/26.32 inference(symmetry,[status(thm)],[34701])).
% 39.83/26.32 tff(34703,plain,
% 39.83/26.32 (v162(constB191)),
% 39.83/26.32 inference(modus_ponens,[status(thm)],[17398, 34702])).
% 39.93/26.32 tff(34704,assumption,(~v162(constB191)), introduced(assumption)).
% 39.93/26.32 tff(34705,plain,
% 39.93/26.32 ($false),
% 39.93/26.32 inference(unit_resolution,[status(thm)],[34704, 34703])).
% 39.93/26.32 tff(34706,plain,((~(constB191 = sK0_VarCurr)) | v162(constB191)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.32 tff(34707,plain,
% 39.93/26.32 (~(constB191 = sK0_VarCurr)),
% 39.93/26.32 inference(unit_resolution,[status(thm)],[34706, 34699])).
% 39.93/26.32 tff(34708,assumption,(constB91 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.32 tff(34709,plain,
% 39.93/26.32 (v162(constB91) <=> v162(sK0_VarCurr)),
% 39.93/26.32 inference(monotonicity,[status(thm)],[34708])).
% 39.93/26.32 tff(34710,plain,
% 39.93/26.32 (v162(sK0_VarCurr) <=> v162(constB91)),
% 39.93/26.32 inference(symmetry,[status(thm)],[34709])).
% 39.93/26.32 tff(34711,plain,
% 39.93/26.32 (v162(constB91)),
% 39.93/26.32 inference(modus_ponens,[status(thm)],[17398, 34710])).
% 39.93/26.32 tff(34712,plain,
% 39.93/26.32 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB85) | (~v144(constB85)))),
% 39.93/26.32 inference(rewrite,[status(thm)],[])).
% 39.93/26.32 tff(34713,plain,
% 39.93/26.32 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB85) | (~v144(constB85)))),
% 39.93/26.32 inference(quant_inst,[status(thm)],[])).
% 39.93/26.32 tff(34714,plain,
% 39.93/26.32 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB85) | (~v144(constB85))),
% 39.93/26.32 inference(modus_ponens,[status(thm)],[34713, 34712])).
% 39.93/26.32 tff(34715,plain,
% 39.93/26.32 (~v144(constB85)),
% 39.93/26.32 inference(unit_resolution,[status(thm)],[34714, 17003, 10258])).
% 39.93/26.32 tff(34716,plain,
% 39.93/26.32 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB85) | (~v142(constB85)))),
% 39.93/26.32 inference(rewrite,[status(thm)],[])).
% 39.93/26.32 tff(34717,plain,
% 39.93/26.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB85) | (~v142(constB85)))),
% 39.93/26.32 inference(quant_inst,[status(thm)],[])).
% 39.93/26.32 tff(34718,plain,
% 39.93/26.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB85) | (~v142(constB85))),
% 39.93/26.32 inference(modus_ponens,[status(thm)],[34717, 34716])).
% 39.93/26.32 tff(34719,plain,
% 39.93/26.32 (~v142(constB85)),
% 39.93/26.32 inference(unit_resolution,[status(thm)],[34718, 17014, 34715])).
% 39.93/26.32 tff(34720,plain,
% 39.93/26.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB85)) | (~v140(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB85)) | (~v140(constB85)))),
% 39.93/26.32 inference(rewrite,[status(thm)],[])).
% 39.93/26.32 tff(34721,plain,
% 39.93/26.32 (((~v140(constB85)) | (~v138(constB85))) <=> ((~v138(constB85)) | (~v140(constB85)))),
% 39.93/26.32 inference(rewrite,[status(thm)],[])).
% 39.93/26.32 tff(34722,plain,
% 39.93/26.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB85)) | (~v138(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB85)) | (~v140(constB85))))),
% 39.93/26.32 inference(monotonicity,[status(thm)],[34721])).
% 39.93/26.32 tff(34723,plain,
% 39.93/26.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB85)) | (~v138(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB85)) | (~v140(constB85)))),
% 39.93/26.32 inference(transitivity,[status(thm)],[34722, 34720])).
% 39.93/26.32 tff(34724,plain,
% 39.93/26.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB85)) | (~v138(constB85)))),
% 39.93/26.32 inference(quant_inst,[status(thm)],[])).
% 39.93/26.32 tff(34725,plain,
% 39.93/26.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB85)) | (~v140(constB85))),
% 39.93/26.32 inference(modus_ponens,[status(thm)],[34724, 34723])).
% 39.93/26.32 tff(34726,plain,
% 39.93/26.32 (~v138(constB85)),
% 39.93/26.32 inference(unit_resolution,[status(thm)],[34725, 108, 28531])).
% 39.93/26.32 tff(34727,plain,
% 39.93/26.32 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB85) | v142(constB85) | (~v135(constB85)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB85) | v142(constB85) | (~v135(constB85)))),
% 39.93/26.32 inference(rewrite,[status(thm)],[])).
% 39.93/26.32 tff(34728,plain,
% 39.93/26.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB85) | v142(constB85) | (~v135(constB85)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34729,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB85) | v142(constB85) | (~v135(constB85))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34728, 34727])).
% 39.93/26.33 tff(34730,plain,
% 39.93/26.33 (v142(constB85) | (~v135(constB85))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34729, 17028, 34726])).
% 39.93/26.33 tff(34731,plain,
% 39.93/26.33 (~v135(constB85)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34730, 34719])).
% 39.93/26.33 tff(34732,plain,
% 39.93/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34733,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34734,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34733, 34732])).
% 39.93/26.33 tff(34735,plain,
% 39.93/26.33 (v135(constB85) | (~v137(constB86))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34734, 17043, 10200])).
% 39.93/26.33 tff(34736,plain,
% 39.93/26.33 (~v137(constB86)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34735, 34731])).
% 39.93/26.33 tff(34737,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB86) | (~v138(constB86)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB86) | (~v138(constB86)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34738,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB86) | (~v138(constB86)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34739,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB86) | (~v138(constB86))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34738, 34737])).
% 39.93/26.33 tff(34740,plain,
% 39.93/26.33 (~v138(constB86)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34739, 17055, 34736])).
% 39.93/26.33 tff(34741,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB86) | (~v144(constB86)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB86) | (~v144(constB86)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34742,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB86) | (~v144(constB86)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34743,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB86) | (~v144(constB86))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34742, 34741])).
% 39.93/26.33 tff(34744,plain,
% 39.93/26.33 (~v144(constB86)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34743, 17077, 28553])).
% 39.93/26.33 tff(34745,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB86) | (~v142(constB86)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB86) | (~v142(constB86)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34746,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB86) | (~v142(constB86)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34747,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB86) | (~v142(constB86))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34746, 34745])).
% 39.93/26.33 tff(34748,plain,
% 39.93/26.33 (~v142(constB86)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34747, 17014, 34744])).
% 39.93/26.33 tff(34749,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB86) | v142(constB86) | (~v135(constB86)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB86) | v142(constB86) | (~v135(constB86)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34750,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB86) | v142(constB86) | (~v135(constB86)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34751,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB86) | v142(constB86) | (~v135(constB86))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34750, 34749])).
% 39.93/26.33 tff(34752,plain,
% 39.93/26.33 (v138(constB86) | (~v135(constB86))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34751, 17028, 34748])).
% 39.93/26.33 tff(34753,plain,
% 39.93/26.33 (~v135(constB86)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34752, 34740])).
% 39.93/26.33 tff(34754,plain,
% 39.93/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34755,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34756,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34755, 34754])).
% 39.93/26.33 tff(34757,plain,
% 39.93/26.33 (v135(constB86) | (~v137(constB87))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34756, 17043, 10292])).
% 39.93/26.33 tff(34758,plain,
% 39.93/26.33 (~v137(constB87)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34757, 34753])).
% 39.93/26.33 tff(34759,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB87) | (~v154(constB87)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB87) | (~v154(constB87)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34760,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB87) | (~v154(constB87)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34761,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB87) | (~v154(constB87))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34760, 34759])).
% 39.93/26.33 tff(34762,plain,
% 39.93/26.33 (~v154(constB87)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34761, 17105, 34758])).
% 39.93/26.33 tff(34763,plain,
% 39.93/26.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB87)) | (~v153(constB87)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB87)) | (~v153(constB87)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34764,plain,
% 39.93/26.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB87)) | (~v153(constB87)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34765,plain,
% 39.93/26.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB87)) | (~v153(constB87))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34764, 34763])).
% 39.93/26.33 tff(34766,plain,
% 39.93/26.33 (~v153(constB87)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34765, 17156, 28606])).
% 39.93/26.33 tff(34767,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB87) | v154(constB87) | (~v150(constB87)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB87) | v154(constB87) | (~v150(constB87)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34768,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB87) | v154(constB87) | (~v150(constB87)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34769,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB87) | v154(constB87) | (~v150(constB87))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34768, 34767])).
% 39.93/26.33 tff(34770,plain,
% 39.93/26.33 (v154(constB87) | (~v150(constB87))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34769, 17170, 34766])).
% 39.93/26.33 tff(34771,plain,
% 39.93/26.33 (~v150(constB87)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34770, 34762])).
% 39.93/26.33 tff(34772,plain,
% 39.93/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34773,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34774,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34773, 34772])).
% 39.93/26.33 tff(34775,plain,
% 39.93/26.33 (v150(constB87) | (~v152(constB88))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34774, 17185, 10431])).
% 39.93/26.33 tff(34776,plain,
% 39.93/26.33 (~v152(constB88)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34775, 34771])).
% 39.93/26.33 tff(34777,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB88) | (~v153(constB88)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB88) | (~v153(constB88)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34778,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB88) | (~v153(constB88)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34779,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB88) | (~v153(constB88))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34778, 34777])).
% 39.93/26.33 tff(34780,plain,
% 39.93/26.33 (~v153(constB88)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34779, 17197, 34776])).
% 39.93/26.33 tff(34781,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB88) | (~v154(constB88)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB88) | (~v154(constB88)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34782,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB88) | (~v154(constB88)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34783,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB88) | (~v154(constB88))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34782, 34781])).
% 39.93/26.33 tff(34784,plain,
% 39.93/26.33 (~v154(constB88)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34783, 17223, 28635])).
% 39.93/26.33 tff(34785,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB88) | v154(constB88) | (~v150(constB88)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB88) | v154(constB88) | (~v150(constB88)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34786,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB88) | v154(constB88) | (~v150(constB88)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34787,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB88) | v154(constB88) | (~v150(constB88))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 39.93/26.33 tff(34788,plain,
% 39.93/26.33 (v153(constB88) | (~v150(constB88))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34787, 17170, 34784])).
% 39.93/26.33 tff(34789,plain,
% 39.93/26.33 (~v150(constB88)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34788, 34780])).
% 39.93/26.33 tff(34790,plain,
% 39.93/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34791,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34792,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34791, 34790])).
% 39.93/26.33 tff(34793,plain,
% 39.93/26.33 (v150(constB88) | (~v152(constB89))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34792, 17185, 10496])).
% 39.93/26.33 tff(34794,plain,
% 39.93/26.33 (~v152(constB89)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34793, 34789])).
% 39.93/26.33 tff(34795,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB89) | (~v164(constB89)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB89) | (~v164(constB89)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34796,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB89) | (~v164(constB89)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34797,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB89) | (~v164(constB89))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34796, 34795])).
% 39.93/26.33 tff(34798,plain,
% 39.93/26.33 (~v164(constB89)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34797, 17247, 34794])).
% 39.93/26.33 tff(34799,plain,
% 39.93/26.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB89)) | (~v163(constB89)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB89)) | (~v163(constB89)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34800,plain,
% 39.93/26.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB89)) | (~v163(constB89)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34801,plain,
% 39.93/26.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB89)) | (~v163(constB89))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34800, 34799])).
% 39.93/26.33 tff(34802,plain,
% 39.93/26.33 (~v163(constB89)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34801, 17298, 17481])).
% 39.93/26.33 tff(34803,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB89)) | v163(constB89) | v164(constB89))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB89)) | v163(constB89) | v164(constB89))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34804,plain,
% 39.93/26.33 ((v164(constB89) | v163(constB89) | (~v160(constB89))) <=> ((~v160(constB89)) | v163(constB89) | v164(constB89))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34805,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB89) | v163(constB89) | (~v160(constB89)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB89)) | v163(constB89) | v164(constB89)))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34804])).
% 39.93/26.33 tff(34806,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB89) | v163(constB89) | (~v160(constB89)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB89)) | v163(constB89) | v164(constB89))),
% 39.93/26.33 inference(transitivity,[status(thm)],[34805, 34803])).
% 39.93/26.33 tff(34807,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB89) | v163(constB89) | (~v160(constB89)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34808,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB89)) | v163(constB89) | v164(constB89)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34807, 34806])).
% 39.93/26.33 tff(34809,plain,
% 39.93/26.33 ((~v160(constB89)) | v164(constB89)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34808, 17312, 34802])).
% 39.93/26.33 tff(34810,plain,
% 39.93/26.33 (~v160(constB89)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34809, 34798])).
% 39.93/26.33 tff(34811,plain,
% 39.93/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34812,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34813,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34812, 34811])).
% 39.93/26.33 tff(34814,plain,
% 39.93/26.33 (v160(constB89) | (~v162(constB90))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34813, 17330, 10622])).
% 39.93/26.33 tff(34815,plain,
% 39.93/26.33 (~v162(constB90)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34814, 34810])).
% 39.93/26.33 tff(34816,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB90) | (~v163(constB90)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB90) | (~v163(constB90)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34817,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB90) | (~v163(constB90)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34818,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB90) | (~v163(constB90))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34817, 34816])).
% 39.93/26.33 tff(34819,plain,
% 39.93/26.33 (~v163(constB90)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34818, 17342, 34815])).
% 39.93/26.33 tff(34820,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB90) | (~v155(constB90)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB90) | (~v155(constB90)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34821,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB90) | (~v155(constB90)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34822,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB90) | (~v155(constB90))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34821, 34820])).
% 39.93/26.33 tff(34823,plain,
% 39.93/26.33 (~v155(constB90)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34822, 17212, 17506])).
% 39.93/26.33 tff(34824,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB90) | (~v164(constB90)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB90) | (~v164(constB90)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34825,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB90) | (~v164(constB90)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34826,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB90) | (~v164(constB90))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34825, 34824])).
% 39.93/26.33 tff(34827,plain,
% 39.93/26.33 (~v164(constB90)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34826, 17361, 34823])).
% 39.93/26.33 tff(34828,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB90)) | v164(constB90) | v163(constB90))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB90)) | v164(constB90) | v163(constB90))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34829,plain,
% 39.93/26.33 ((v164(constB90) | v163(constB90) | (~v160(constB90))) <=> ((~v160(constB90)) | v164(constB90) | v163(constB90))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34830,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB90) | v163(constB90) | (~v160(constB90)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB90)) | v164(constB90) | v163(constB90)))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34829])).
% 39.93/26.33 tff(34831,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB90) | v163(constB90) | (~v160(constB90)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB90)) | v164(constB90) | v163(constB90))),
% 39.93/26.33 inference(transitivity,[status(thm)],[34830, 34828])).
% 39.93/26.33 tff(34832,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB90) | v163(constB90) | (~v160(constB90)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34833,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB90)) | v164(constB90) | v163(constB90)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34832, 34831])).
% 39.93/26.33 tff(34834,plain,
% 39.93/26.33 ((~v160(constB90)) | v163(constB90)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34833, 17312, 34827])).
% 39.93/26.33 tff(34835,plain,
% 39.93/26.33 (~v160(constB90)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34834, 34819])).
% 39.93/26.33 tff(34836,plain,
% 39.93/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34837,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34838,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34837, 34836])).
% 39.93/26.33 tff(34839,plain,
% 39.93/26.33 (v160(constB90) | (~v162(constB91))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34838, 17330, 10684])).
% 39.93/26.33 tff(34840,plain,
% 39.93/26.33 (~v162(constB91)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34839, 34835])).
% 39.93/26.33 tff(34841,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34840, 34711])).
% 39.93/26.33 tff(34842,plain,(~(constB91 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34843,assumption,(constB8 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34844,plain,
% 39.93/26.33 (v1(constB8) <=> v1(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34843])).
% 39.93/26.33 tff(34845,plain,
% 39.93/26.33 (v1(sK0_VarCurr) <=> v1(constB8)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34844])).
% 39.93/26.33 tff(34846,plain,
% 39.93/26.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB8))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34845])).
% 39.93/26.33 tff(34847,plain,
% 39.93/26.33 (~v1(constB8)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[23858, 34846])).
% 39.93/26.33 tff(34848,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[1427, 34847])).
% 39.93/26.33 tff(34849,plain,(~(constB8 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34850,assumption,(constB194 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34851,plain,
% 39.93/26.33 (v1(constB194) <=> v1(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34850])).
% 39.93/26.33 tff(34852,plain,
% 39.93/26.33 (v1(sK0_VarCurr) <=> v1(constB194)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34851])).
% 39.93/26.33 tff(34853,plain,
% 39.93/26.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB194))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34852])).
% 39.93/26.33 tff(34854,plain,
% 39.93/26.33 (~v1(constB194)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[23858, 34853])).
% 39.93/26.33 tff(34855,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[24801, 34854])).
% 39.93/26.33 tff(34856,plain,(~(constB194 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34857,assumption,(constB172 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34858,plain,
% 39.93/26.33 (v1(constB172) <=> v1(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34857])).
% 39.93/26.33 tff(34859,plain,
% 39.93/26.33 (v1(sK0_VarCurr) <=> v1(constB172)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34858])).
% 39.93/26.33 tff(34860,plain,
% 39.93/26.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB172))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34859])).
% 39.93/26.33 tff(34861,plain,
% 39.93/26.33 (~v1(constB172)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[23858, 34860])).
% 39.93/26.33 tff(34862,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[19748, 34861])).
% 39.93/26.33 tff(34863,plain,(~(constB172 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34864,assumption,(constB76 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34865,plain,
% 39.93/26.33 (v1(constB76) <=> v1(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34864])).
% 39.93/26.33 tff(34866,plain,
% 39.93/26.33 (v1(sK0_VarCurr) <=> v1(constB76)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34865])).
% 39.93/26.33 tff(34867,plain,
% 39.93/26.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB76))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34866])).
% 39.93/26.33 tff(34868,plain,
% 39.93/26.33 (~v1(constB76)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[23858, 34867])).
% 39.93/26.33 tff(34869,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[9097, 34868])).
% 39.93/26.33 tff(34870,plain,(~(constB76 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34871,assumption,(constB18 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34872,plain,
% 39.93/26.33 (v1(constB18) <=> v1(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34871])).
% 39.93/26.33 tff(34873,plain,
% 39.93/26.33 (v1(sK0_VarCurr) <=> v1(constB18)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34872])).
% 39.93/26.33 tff(34874,plain,
% 39.93/26.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB18))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34873])).
% 39.93/26.33 tff(34875,plain,
% 39.93/26.33 (~v1(constB18)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[23858, 34874])).
% 39.93/26.33 tff(34876,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[2557, 34875])).
% 39.93/26.33 tff(34877,plain,(~(constB18 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34878,assumption,(constB72 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34879,plain,
% 39.93/26.33 (v1(constB72) <=> v1(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34878])).
% 39.93/26.33 tff(34880,plain,
% 39.93/26.33 (v1(sK0_VarCurr) <=> v1(constB72)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34879])).
% 39.93/26.33 tff(34881,plain,
% 39.93/26.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB72))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34880])).
% 39.93/26.33 tff(34882,plain,
% 39.93/26.33 (~v1(constB72)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[23858, 34881])).
% 39.93/26.33 tff(34883,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[8700, 34882])).
% 39.93/26.33 tff(34884,plain,(~(constB72 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34885,assumption,(constB64 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34886,plain,
% 39.93/26.33 (v1(constB64) <=> v1(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34885])).
% 39.93/26.33 tff(34887,plain,
% 39.93/26.33 (v1(sK0_VarCurr) <=> v1(constB64)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34886])).
% 39.93/26.33 tff(34888,plain,
% 39.93/26.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB64))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34887])).
% 39.93/26.33 tff(34889,plain,
% 39.93/26.33 (~v1(constB64)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[23858, 34888])).
% 39.93/26.33 tff(34890,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[7829, 34889])).
% 39.93/26.33 tff(34891,plain,(~(constB64 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34892,assumption,(constB86 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34893,plain,
% 39.93/26.33 (v1(constB86) <=> v1(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34892])).
% 39.93/26.33 tff(34894,plain,
% 39.93/26.33 (v1(sK0_VarCurr) <=> v1(constB86)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34893])).
% 39.93/26.33 tff(34895,plain,
% 39.93/26.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB86))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34894])).
% 39.93/26.33 tff(34896,plain,
% 39.93/26.33 (~v1(constB86)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[23858, 34895])).
% 39.93/26.33 tff(34897,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[10220, 34896])).
% 39.93/26.33 tff(34898,plain,(~(constB86 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34899,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34900,plain,
% 39.93/26.33 (v162(constB7) <=> v162(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34899])).
% 39.93/26.33 tff(34901,plain,
% 39.93/26.33 (v162(sK0_VarCurr) <=> v162(constB7)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34900])).
% 39.93/26.33 tff(34902,plain,
% 39.93/26.33 (v162(constB7)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[17398, 34901])).
% 39.93/26.33 tff(34903,plain,
% 39.93/26.33 ($false),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[31154, 34902])).
% 39.93/26.33 tff(34904,plain,(~(constB7 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.33 tff(34905,assumption,(constB29 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.33 tff(34906,plain,
% 39.93/26.33 (v162(constB29) <=> v162(sK0_VarCurr)),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34905])).
% 39.93/26.33 tff(34907,plain,
% 39.93/26.33 (v162(sK0_VarCurr) <=> v162(constB29)),
% 39.93/26.33 inference(symmetry,[status(thm)],[34906])).
% 39.93/26.33 tff(34908,plain,
% 39.93/26.33 (v162(constB29)),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[17398, 34907])).
% 39.93/26.33 tff(34909,plain,
% 39.93/26.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB23, bitIndex2)) | (~v145(constB23)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB23, bitIndex2)) | (~v145(constB23)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34910,plain,
% 39.93/26.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB23, bitIndex2)) | (~v145(constB23)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34911,plain,
% 39.93/26.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB23, bitIndex2)) | (~v145(constB23))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34910, 34909])).
% 39.93/26.33 tff(34912,plain,
% 39.93/26.33 (~v145(constB23)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34911, 5709, 3173])).
% 39.93/26.33 tff(34913,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB23) | (~v144(constB23)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB23) | (~v144(constB23)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34914,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB23) | (~v144(constB23)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34915,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB23) | (~v144(constB23))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34914, 34913])).
% 39.93/26.33 tff(34916,plain,
% 39.93/26.33 (~v144(constB23)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34915, 17003, 34912])).
% 39.93/26.33 tff(34917,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB23) | (~v142(constB23)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB23) | (~v142(constB23)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34918,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB23) | (~v142(constB23)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34919,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB23) | (~v142(constB23))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34918, 34917])).
% 39.93/26.33 tff(34920,plain,
% 39.93/26.33 (~v142(constB23)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34919, 17014, 34916])).
% 39.93/26.33 tff(34921,plain,
% 39.93/26.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB23)) | (~v140(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB23)) | (~v140(constB23)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34922,plain,
% 39.93/26.33 (((~v140(constB23)) | (~v138(constB23))) <=> ((~v138(constB23)) | (~v140(constB23)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34923,plain,
% 39.93/26.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB23)) | (~v138(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB23)) | (~v140(constB23))))),
% 39.93/26.33 inference(monotonicity,[status(thm)],[34922])).
% 39.93/26.33 tff(34924,plain,
% 39.93/26.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB23)) | (~v138(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB23)) | (~v140(constB23)))),
% 39.93/26.33 inference(transitivity,[status(thm)],[34923, 34921])).
% 39.93/26.33 tff(34925,plain,
% 39.93/26.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB23)) | (~v138(constB23)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34926,plain,
% 39.93/26.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB23)) | (~v140(constB23))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34925, 34924])).
% 39.93/26.33 tff(34927,plain,
% 39.93/26.33 (~v138(constB23)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34926, 108, 23395])).
% 39.93/26.33 tff(34928,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB23) | v142(constB23) | (~v135(constB23)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB23) | v142(constB23) | (~v135(constB23)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34929,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB23) | v142(constB23) | (~v135(constB23)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34930,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB23) | v142(constB23) | (~v135(constB23))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34929, 34928])).
% 39.93/26.33 tff(34931,plain,
% 39.93/26.33 (v142(constB23) | (~v135(constB23))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34930, 17028, 34927])).
% 39.93/26.33 tff(34932,plain,
% 39.93/26.33 (~v135(constB23)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34931, 34920])).
% 39.93/26.33 tff(34933,plain,
% 39.93/26.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34934,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34935,plain,
% 39.93/26.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34934, 34933])).
% 39.93/26.33 tff(34936,plain,
% 39.93/26.33 (v135(constB23) | (~v137(constB24))),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34935, 17043, 3276])).
% 39.93/26.33 tff(34937,plain,
% 39.93/26.33 (~v137(constB24)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34936, 34932])).
% 39.93/26.33 tff(34938,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB24) | (~v138(constB24)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB24) | (~v138(constB24)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34939,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB24) | (~v138(constB24)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34940,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB24) | (~v138(constB24))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34939, 34938])).
% 39.93/26.33 tff(34941,plain,
% 39.93/26.33 (~v138(constB24)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34940, 17055, 34937])).
% 39.93/26.33 tff(34942,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB24) | (~v144(constB24)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB24) | (~v144(constB24)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34943,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB24) | (~v144(constB24)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34944,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB24) | (~v144(constB24))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34943, 34942])).
% 39.93/26.33 tff(34945,plain,
% 39.93/26.33 (~v144(constB24)),
% 39.93/26.33 inference(unit_resolution,[status(thm)],[34944, 17077, 23420])).
% 39.93/26.33 tff(34946,plain,
% 39.93/26.33 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB24) | (~v142(constB24)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB24) | (~v142(constB24)))),
% 39.93/26.33 inference(rewrite,[status(thm)],[])).
% 39.93/26.33 tff(34947,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB24) | (~v142(constB24)))),
% 39.93/26.33 inference(quant_inst,[status(thm)],[])).
% 39.93/26.33 tff(34948,plain,
% 39.93/26.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB24) | (~v142(constB24))),
% 39.93/26.33 inference(modus_ponens,[status(thm)],[34947, 34946])).
% 39.93/26.33 tff(34949,plain,
% 39.93/26.33 (~v142(constB24)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34948, 17014, 34945])).
% 39.93/26.34 tff(34950,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB24) | v142(constB24) | (~v135(constB24)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB24) | v142(constB24) | (~v135(constB24)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34951,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB24) | v142(constB24) | (~v135(constB24)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34952,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB24) | v142(constB24) | (~v135(constB24))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34951, 34950])).
% 39.93/26.34 tff(34953,plain,
% 39.93/26.34 (v138(constB24) | (~v135(constB24))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34952, 17028, 34949])).
% 39.93/26.34 tff(34954,plain,
% 39.93/26.34 (~v135(constB24)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34953, 34941])).
% 39.93/26.34 tff(34955,plain,
% 39.93/26.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34956,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34957,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34956, 34955])).
% 39.93/26.34 tff(34958,plain,
% 39.93/26.34 (v135(constB24) | (~v137(constB25))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34957, 17043, 3338])).
% 39.93/26.34 tff(34959,plain,
% 39.93/26.34 (~v137(constB25)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34958, 34954])).
% 39.93/26.34 tff(34960,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB25) | (~v154(constB25)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB25) | (~v154(constB25)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34961,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB25) | (~v154(constB25)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34962,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB25) | (~v154(constB25))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34961, 34960])).
% 39.93/26.34 tff(34963,plain,
% 39.93/26.34 (~v154(constB25)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34962, 17105, 34959])).
% 39.93/26.34 tff(34964,plain,
% 39.93/26.34 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB25)) | (~v153(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB25)) | (~v153(constB25)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34965,plain,
% 39.93/26.34 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB25)) | (~v153(constB25)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34966,plain,
% 39.93/26.34 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB25)) | (~v153(constB25))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34965, 34964])).
% 39.93/26.34 tff(34967,plain,
% 39.93/26.34 (~v153(constB25)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34966, 17156, 27003])).
% 39.93/26.34 tff(34968,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB25) | v154(constB25) | (~v150(constB25)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB25) | v154(constB25) | (~v150(constB25)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34969,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB25) | v154(constB25) | (~v150(constB25)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34970,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB25) | v154(constB25) | (~v150(constB25))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34969, 34968])).
% 39.93/26.34 tff(34971,plain,
% 39.93/26.34 (v154(constB25) | (~v150(constB25))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34970, 17170, 34967])).
% 39.93/26.34 tff(34972,plain,
% 39.93/26.34 (~v150(constB25)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34971, 34963])).
% 39.93/26.34 tff(34973,plain,
% 39.93/26.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34974,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34975,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34974, 34973])).
% 39.93/26.34 tff(34976,plain,
% 39.93/26.34 (v150(constB25) | (~v152(constB26))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34975, 17185, 3448])).
% 39.93/26.34 tff(34977,plain,
% 39.93/26.34 (~v152(constB26)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34976, 34972])).
% 39.93/26.34 tff(34978,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB26) | (~v153(constB26)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB26) | (~v153(constB26)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34979,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB26) | (~v153(constB26)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34980,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB26) | (~v153(constB26))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 39.93/26.34 tff(34981,plain,
% 39.93/26.34 (~v153(constB26)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34980, 17197, 34977])).
% 39.93/26.34 tff(34982,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB26) | (~v154(constB26)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB26) | (~v154(constB26)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34983,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB26) | (~v154(constB26)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34984,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB26) | (~v154(constB26))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34983, 34982])).
% 39.93/26.34 tff(34985,plain,
% 39.93/26.34 (~v154(constB26)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34984, 17223, 27032])).
% 39.93/26.34 tff(34986,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB26) | v154(constB26) | (~v150(constB26)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB26) | v154(constB26) | (~v150(constB26)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34987,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB26) | v154(constB26) | (~v150(constB26)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34988,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB26) | v154(constB26) | (~v150(constB26))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34987, 34986])).
% 39.93/26.34 tff(34989,plain,
% 39.93/26.34 (v153(constB26) | (~v150(constB26))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34988, 17170, 34985])).
% 39.93/26.34 tff(34990,plain,
% 39.93/26.34 (~v150(constB26)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34989, 34981])).
% 39.93/26.34 tff(34991,plain,
% 39.93/26.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34992,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34993,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34992, 34991])).
% 39.93/26.34 tff(34994,plain,
% 39.93/26.34 (v150(constB26) | (~v152(constB27))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34993, 17185, 3540])).
% 39.93/26.34 tff(34995,plain,
% 39.93/26.34 (~v152(constB27)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34994, 34990])).
% 39.93/26.34 tff(34996,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB27) | (~v164(constB27)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB27) | (~v164(constB27)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(34997,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB27) | (~v164(constB27)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(34998,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB27) | (~v164(constB27))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 39.93/26.34 tff(34999,plain,
% 39.93/26.34 (~v164(constB27)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34998, 17247, 34995])).
% 39.93/26.34 tff(35000,plain,
% 39.93/26.34 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB27)) | (~v163(constB27)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB27)) | (~v163(constB27)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35001,plain,
% 39.93/26.34 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB27)) | (~v163(constB27)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(35002,plain,
% 39.93/26.34 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB27)) | (~v163(constB27))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 39.93/26.34 tff(35003,plain,
% 39.93/26.34 (~v163(constB27)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35002, 17298, 27115])).
% 39.93/26.34 tff(35004,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB27)) | v163(constB27) | v164(constB27))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB27)) | v163(constB27) | v164(constB27))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35005,plain,
% 39.93/26.34 ((v164(constB27) | v163(constB27) | (~v160(constB27))) <=> ((~v160(constB27)) | v163(constB27) | v164(constB27))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35006,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB27) | v163(constB27) | (~v160(constB27)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB27)) | v163(constB27) | v164(constB27)))),
% 39.93/26.34 inference(monotonicity,[status(thm)],[35005])).
% 39.93/26.34 tff(35007,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB27) | v163(constB27) | (~v160(constB27)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB27)) | v163(constB27) | v164(constB27))),
% 39.93/26.34 inference(transitivity,[status(thm)],[35006, 35004])).
% 39.93/26.34 tff(35008,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB27) | v163(constB27) | (~v160(constB27)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(35009,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB27)) | v163(constB27) | v164(constB27)),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[35008, 35007])).
% 39.93/26.34 tff(35010,plain,
% 39.93/26.34 ((~v160(constB27)) | v164(constB27)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35009, 17312, 35003])).
% 39.93/26.34 tff(35011,plain,
% 39.93/26.34 (~v160(constB27)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35010, 34999])).
% 39.93/26.34 tff(35012,plain,
% 39.93/26.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35013,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(35014,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[35013, 35012])).
% 39.93/26.34 tff(35015,plain,
% 39.93/26.34 (v160(constB27) | (~v162(constB28))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35014, 17330, 3687])).
% 39.93/26.34 tff(35016,plain,
% 39.93/26.34 (~v162(constB28)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35015, 35011])).
% 39.93/26.34 tff(35017,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB28) | (~v163(constB28)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB28) | (~v163(constB28)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35018,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB28) | (~v163(constB28)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(35019,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB28) | (~v163(constB28))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[35018, 35017])).
% 39.93/26.34 tff(35020,plain,
% 39.93/26.34 (~v163(constB28)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35019, 17342, 35016])).
% 39.93/26.34 tff(35021,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB28) | (~v164(constB28)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB28) | (~v164(constB28)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35022,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB28) | (~v164(constB28)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(35023,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB28) | (~v164(constB28))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[35022, 35021])).
% 39.93/26.34 tff(35024,plain,
% 39.93/26.34 (~v164(constB28)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35023, 17361, 27141])).
% 39.93/26.34 tff(35025,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB28)) | v164(constB28) | v163(constB28))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB28)) | v164(constB28) | v163(constB28))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35026,plain,
% 39.93/26.34 ((v164(constB28) | v163(constB28) | (~v160(constB28))) <=> ((~v160(constB28)) | v164(constB28) | v163(constB28))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35027,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB28) | v163(constB28) | (~v160(constB28)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB28)) | v164(constB28) | v163(constB28)))),
% 39.93/26.34 inference(monotonicity,[status(thm)],[35026])).
% 39.93/26.34 tff(35028,plain,
% 39.93/26.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB28) | v163(constB28) | (~v160(constB28)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB28)) | v164(constB28) | v163(constB28))),
% 39.93/26.34 inference(transitivity,[status(thm)],[35027, 35025])).
% 39.93/26.34 tff(35029,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB28) | v163(constB28) | (~v160(constB28)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(35030,plain,
% 39.93/26.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB28)) | v164(constB28) | v163(constB28)),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[35029, 35028])).
% 39.93/26.34 tff(35031,plain,
% 39.93/26.34 ((~v160(constB28)) | v163(constB28)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35030, 17312, 35024])).
% 39.93/26.34 tff(35032,plain,
% 39.93/26.34 (~v160(constB28)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35031, 35020])).
% 39.93/26.34 tff(35033,plain,
% 39.93/26.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))),
% 39.93/26.34 inference(rewrite,[status(thm)],[])).
% 39.93/26.34 tff(35034,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))),
% 39.93/26.34 inference(quant_inst,[status(thm)],[])).
% 39.93/26.34 tff(35035,plain,
% 39.93/26.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29))),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[35034, 35033])).
% 39.93/26.34 tff(35036,plain,
% 39.93/26.34 (v160(constB28) | (~v162(constB29))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35035, 17330, 3822])).
% 39.93/26.34 tff(35037,plain,
% 39.93/26.34 (~v162(constB29)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35036, 35032])).
% 39.93/26.34 tff(35038,plain,
% 39.93/26.34 ($false),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35037, 34908])).
% 39.93/26.34 tff(35039,plain,(~(constB29 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.34 tff(35040,assumption,(constB12 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.34 tff(35041,plain,
% 39.93/26.34 (v1(constB12) <=> v1(sK0_VarCurr)),
% 39.93/26.34 inference(monotonicity,[status(thm)],[35040])).
% 39.93/26.34 tff(35042,plain,
% 39.93/26.34 (v1(sK0_VarCurr) <=> v1(constB12)),
% 39.93/26.34 inference(symmetry,[status(thm)],[35041])).
% 39.93/26.34 tff(35043,plain,
% 39.93/26.34 ((~v1(sK0_VarCurr)) <=> (~v1(constB12))),
% 39.93/26.34 inference(monotonicity,[status(thm)],[35042])).
% 39.93/26.34 tff(35044,plain,
% 39.93/26.34 (~v1(constB12)),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[23858, 35043])).
% 39.93/26.34 tff(35045,plain,
% 39.93/26.34 ($false),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[1894, 35044])).
% 39.93/26.34 tff(35046,plain,(~(constB12 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.34 tff(35047,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.34 tff(35048,plain,
% 39.93/26.34 (v162(constB69) <=> v162(sK0_VarCurr)),
% 39.93/26.34 inference(monotonicity,[status(thm)],[35047])).
% 39.93/26.34 tff(35049,plain,
% 39.93/26.34 (v162(sK0_VarCurr) <=> v162(constB69)),
% 39.93/26.34 inference(symmetry,[status(thm)],[35048])).
% 39.93/26.34 tff(35050,plain,
% 39.93/26.34 (v162(constB69)),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[17398, 35049])).
% 39.93/26.34 tff(35051,plain,
% 39.93/26.34 ($false),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[34118, 35050])).
% 39.93/26.34 tff(35052,plain,(~(constB69 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.34 tff(35053,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.34 tff(35054,plain,
% 39.93/26.34 (v162(constB87) <=> v162(sK0_VarCurr)),
% 39.93/26.34 inference(monotonicity,[status(thm)],[35053])).
% 39.93/26.34 tff(35055,plain,
% 39.93/26.34 (v162(sK0_VarCurr) <=> v162(constB87)),
% 39.93/26.34 inference(symmetry,[status(thm)],[35054])).
% 39.93/26.34 tff(35056,plain,
% 39.93/26.34 (v162(constB87)),
% 39.93/26.34 inference(modus_ponens,[status(thm)],[17398, 35055])).
% 39.93/26.34 tff(35057,plain,
% 39.93/26.34 (v124(constB79, bitIndex1)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[9766, 1750, 9529])).
% 39.93/26.34 tff(35058,plain,
% 39.93/26.34 (v121(constB79, bitIndex1)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[9771, 35057])).
% 39.93/26.34 tff(35059,plain,
% 39.93/26.34 (v123(constB80, bitIndex1)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[9776, 35058])).
% 39.93/26.34 tff(35060,plain,
% 39.93/26.34 (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1))),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[9783, 905, 9678])).
% 39.93/26.34 tff(35061,plain,
% 39.93/26.34 (v84(constB80, bitIndex1)),
% 39.93/26.34 inference(unit_resolution,[status(thm)],[35060, 35059])).
% 39.93/26.34 tff(35062,plain,
% 39.93/26.35 (v84(constB81, bitIndex1)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[9793, 35061])).
% 39.93/26.35 tff(35063,plain,
% 39.93/26.35 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v145(constB81)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35064,plain,
% 39.93/26.35 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v145(constB81)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35065,plain,
% 39.93/26.35 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v145(constB81))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35064, 35063])).
% 39.93/26.35 tff(35066,plain,
% 39.93/26.35 (~v145(constB81)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35065, 1116, 35062])).
% 39.93/26.35 tff(35067,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB81) | (~v144(constB81)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB81) | (~v144(constB81)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35068,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB81) | (~v144(constB81)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35069,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB81) | (~v144(constB81))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35068, 35067])).
% 39.93/26.35 tff(35070,plain,
% 39.93/26.35 (~v144(constB81)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35069, 17003, 35066])).
% 39.93/26.35 tff(35071,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB81) | (~v142(constB81)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB81) | (~v142(constB81)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35072,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB81) | (~v142(constB81)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35073,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB81) | (~v142(constB81))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35072, 35071])).
% 39.93/26.35 tff(35074,plain,
% 39.93/26.35 (~v142(constB81)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35073, 17014, 35070])).
% 39.93/26.35 tff(35075,plain,
% 39.93/26.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB81)) | (~v140(constB81)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB81)) | (~v140(constB81)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35076,plain,
% 39.93/26.35 (((~v140(constB81)) | (~v138(constB81))) <=> ((~v138(constB81)) | (~v140(constB81)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35077,plain,
% 39.93/26.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB81)) | (~v138(constB81)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB81)) | (~v140(constB81))))),
% 39.93/26.35 inference(monotonicity,[status(thm)],[35076])).
% 39.93/26.35 tff(35078,plain,
% 39.93/26.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB81)) | (~v138(constB81)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB81)) | (~v140(constB81)))),
% 39.93/26.35 inference(transitivity,[status(thm)],[35077, 35075])).
% 39.93/26.35 tff(35079,plain,
% 39.93/26.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB81)) | (~v138(constB81)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35080,plain,
% 39.93/26.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB81)) | (~v140(constB81))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35079, 35078])).
% 39.93/26.35 tff(35081,plain,
% 39.93/26.35 (~v138(constB81)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35080, 108, 27370])).
% 39.93/26.35 tff(35082,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB81) | v142(constB81) | (~v135(constB81)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB81) | v142(constB81) | (~v135(constB81)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35083,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB81) | v142(constB81) | (~v135(constB81)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35084,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB81) | v142(constB81) | (~v135(constB81))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35083, 35082])).
% 39.93/26.35 tff(35085,plain,
% 39.93/26.35 (v142(constB81) | (~v135(constB81))),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35084, 17028, 35081])).
% 39.93/26.35 tff(35086,plain,
% 39.93/26.35 (~v135(constB81)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35085, 35074])).
% 39.93/26.35 tff(35087,plain,
% 39.93/26.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35088,plain,
% 39.93/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35089,plain,
% 39.93/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35088, 35087])).
% 39.93/26.35 tff(35090,plain,
% 39.93/26.35 (v135(constB81) | (~v137(constB82))),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35089, 17043, 9841])).
% 39.93/26.35 tff(35091,plain,
% 39.93/26.35 (~v137(constB82)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35090, 35086])).
% 39.93/26.35 tff(35092,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB82) | (~v138(constB82)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB82) | (~v138(constB82)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35093,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB82) | (~v138(constB82)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35094,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB82) | (~v138(constB82))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35093, 35092])).
% 39.93/26.35 tff(35095,plain,
% 39.93/26.35 (~v138(constB82)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35094, 17055, 35091])).
% 39.93/26.35 tff(35096,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB82) | (~v144(constB82)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB82) | (~v144(constB82)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35097,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB82) | (~v144(constB82)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35098,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB82) | (~v144(constB82))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35097, 35096])).
% 39.93/26.35 tff(35099,plain,
% 39.93/26.35 (~v144(constB82)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35098, 17077, 27392])).
% 39.93/26.35 tff(35100,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB82) | (~v142(constB82)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB82) | (~v142(constB82)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35101,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB82) | (~v142(constB82)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35102,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB82) | (~v142(constB82))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35101, 35100])).
% 39.93/26.35 tff(35103,plain,
% 39.93/26.35 (~v142(constB82)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35102, 17014, 35099])).
% 39.93/26.35 tff(35104,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB82) | v142(constB82) | (~v135(constB82)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB82) | v142(constB82) | (~v135(constB82)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35105,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB82) | v142(constB82) | (~v135(constB82)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35106,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB82) | v142(constB82) | (~v135(constB82))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35105, 35104])).
% 39.93/26.35 tff(35107,plain,
% 39.93/26.35 (v138(constB82) | (~v135(constB82))),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35106, 17028, 35103])).
% 39.93/26.35 tff(35108,plain,
% 39.93/26.35 (~v135(constB82)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35107, 35095])).
% 39.93/26.35 tff(35109,plain,
% 39.93/26.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35110,plain,
% 39.93/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35111,plain,
% 39.93/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35110, 35109])).
% 39.93/26.35 tff(35112,plain,
% 39.93/26.35 (v135(constB82) | (~v137(constB83))),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35111, 17043, 9907])).
% 39.93/26.35 tff(35113,plain,
% 39.93/26.35 (~v137(constB83)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35112, 35108])).
% 39.93/26.35 tff(35114,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB83) | (~v154(constB83)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB83) | (~v154(constB83)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35115,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB83) | (~v154(constB83)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35116,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB83) | (~v154(constB83))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35115, 35114])).
% 39.93/26.35 tff(35117,plain,
% 39.93/26.35 (~v154(constB83)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35116, 17105, 35113])).
% 39.93/26.35 tff(35118,plain,
% 39.93/26.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB83)) | (~v153(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB83)) | (~v153(constB83)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35119,plain,
% 39.93/26.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB83)) | (~v153(constB83)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35120,plain,
% 39.93/26.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB83)) | (~v153(constB83))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35119, 35118])).
% 39.93/26.35 tff(35121,plain,
% 39.93/26.35 (~v153(constB83)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35120, 17156, 27445])).
% 39.93/26.35 tff(35122,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB83) | v154(constB83) | (~v150(constB83)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB83) | v154(constB83) | (~v150(constB83)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35123,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB83) | v154(constB83) | (~v150(constB83)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35124,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB83) | v154(constB83) | (~v150(constB83))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35123, 35122])).
% 39.93/26.35 tff(35125,plain,
% 39.93/26.35 (v154(constB83) | (~v150(constB83))),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35124, 17170, 35121])).
% 39.93/26.35 tff(35126,plain,
% 39.93/26.35 (~v150(constB83)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35125, 35117])).
% 39.93/26.35 tff(35127,plain,
% 39.93/26.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35128,plain,
% 39.93/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35129,plain,
% 39.93/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35128, 35127])).
% 39.93/26.35 tff(35130,plain,
% 39.93/26.35 (v150(constB83) | (~v152(constB84))),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35129, 17185, 10028])).
% 39.93/26.35 tff(35131,plain,
% 39.93/26.35 (~v152(constB84)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35130, 35126])).
% 39.93/26.35 tff(35132,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB84) | (~v153(constB84)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB84) | (~v153(constB84)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35133,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB84) | (~v153(constB84)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35134,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB84) | (~v153(constB84))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35133, 35132])).
% 39.93/26.35 tff(35135,plain,
% 39.93/26.35 (~v153(constB84)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35134, 17197, 35131])).
% 39.93/26.35 tff(35136,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB84) | (~v154(constB84)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB84) | (~v154(constB84)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35137,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB84) | (~v154(constB84)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35138,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB84) | (~v154(constB84))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35137, 35136])).
% 39.93/26.35 tff(35139,plain,
% 39.93/26.35 (~v154(constB84)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35138, 17223, 27474])).
% 39.93/26.35 tff(35140,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB84) | v154(constB84) | (~v150(constB84)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB84) | v154(constB84) | (~v150(constB84)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35141,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB84) | v154(constB84) | (~v150(constB84)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35142,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB84) | v154(constB84) | (~v150(constB84))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35141, 35140])).
% 39.93/26.35 tff(35143,plain,
% 39.93/26.35 (v153(constB84) | (~v150(constB84))),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35142, 17170, 35139])).
% 39.93/26.35 tff(35144,plain,
% 39.93/26.35 (~v150(constB84)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35143, 35135])).
% 39.93/26.35 tff(35145,plain,
% 39.93/26.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35146,plain,
% 39.93/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35147,plain,
% 39.93/26.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35146, 35145])).
% 39.93/26.35 tff(35148,plain,
% 39.93/26.35 (v150(constB84) | (~v152(constB85))),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35147, 17185, 10090])).
% 39.93/26.35 tff(35149,plain,
% 39.93/26.35 (~v152(constB85)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35148, 35144])).
% 39.93/26.35 tff(35150,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB85) | (~v164(constB85)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB85) | (~v164(constB85)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35151,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB85) | (~v164(constB85)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35152,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB85) | (~v164(constB85))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35151, 35150])).
% 39.93/26.35 tff(35153,plain,
% 39.93/26.35 (~v164(constB85)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35152, 17247, 35149])).
% 39.93/26.35 tff(35154,plain,
% 39.93/26.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB85)) | (~v163(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB85)) | (~v163(constB85)))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35155,plain,
% 39.93/26.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB85)) | (~v163(constB85)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35156,plain,
% 39.93/26.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB85)) | (~v163(constB85))),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35155, 35154])).
% 39.93/26.35 tff(35157,plain,
% 39.93/26.35 (~v163(constB85)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35156, 17298, 28531])).
% 39.93/26.35 tff(35158,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB85)) | v164(constB85) | v163(constB85))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB85)) | v164(constB85) | v163(constB85))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35159,plain,
% 39.93/26.35 ((v164(constB85) | v163(constB85) | (~v160(constB85))) <=> ((~v160(constB85)) | v164(constB85) | v163(constB85))),
% 39.93/26.35 inference(rewrite,[status(thm)],[])).
% 39.93/26.35 tff(35160,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB85) | v163(constB85) | (~v160(constB85)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB85)) | v164(constB85) | v163(constB85)))),
% 39.93/26.35 inference(monotonicity,[status(thm)],[35159])).
% 39.93/26.35 tff(35161,plain,
% 39.93/26.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB85) | v163(constB85) | (~v160(constB85)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB85)) | v164(constB85) | v163(constB85))),
% 39.93/26.35 inference(transitivity,[status(thm)],[35160, 35158])).
% 39.93/26.35 tff(35162,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB85) | v163(constB85) | (~v160(constB85)))),
% 39.93/26.35 inference(quant_inst,[status(thm)],[])).
% 39.93/26.35 tff(35163,plain,
% 39.93/26.35 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB85)) | v164(constB85) | v163(constB85)),
% 39.93/26.35 inference(modus_ponens,[status(thm)],[35162, 35161])).
% 39.93/26.35 tff(35164,plain,
% 39.93/26.35 ((~v160(constB85)) | v164(constB85)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35163, 17312, 35157])).
% 39.93/26.35 tff(35165,plain,
% 39.93/26.35 (~v160(constB85)),
% 39.93/26.35 inference(unit_resolution,[status(thm)],[35164, 35153])).
% 39.93/26.35 tff(35166,plain,
% 39.93/26.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35167,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35168,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35167, 35166])).
% 39.93/26.36 tff(35169,plain,
% 39.93/26.36 (v160(constB85) | (~v162(constB86))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35168, 17330, 10200])).
% 39.93/26.36 tff(35170,plain,
% 39.93/26.36 (~v162(constB86)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35169, 35165])).
% 39.93/26.36 tff(35171,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB86) | (~v163(constB86)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB86) | (~v163(constB86)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35172,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB86) | (~v163(constB86)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35173,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB86) | (~v163(constB86))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35172, 35171])).
% 39.93/26.36 tff(35174,plain,
% 39.93/26.36 (~v163(constB86)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35173, 17342, 35170])).
% 39.93/26.36 tff(35175,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB86) | (~v164(constB86)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB86) | (~v164(constB86)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35176,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB86) | (~v164(constB86)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35177,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB86) | (~v164(constB86))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35176, 35175])).
% 39.93/26.36 tff(35178,plain,
% 39.93/26.36 (~v164(constB86)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35177, 17361, 28557])).
% 39.93/26.36 tff(35179,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB86)) | v164(constB86) | v163(constB86))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB86)) | v164(constB86) | v163(constB86))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35180,plain,
% 39.93/26.36 ((v164(constB86) | v163(constB86) | (~v160(constB86))) <=> ((~v160(constB86)) | v164(constB86) | v163(constB86))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35181,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB86) | v163(constB86) | (~v160(constB86)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB86)) | v164(constB86) | v163(constB86)))),
% 39.93/26.36 inference(monotonicity,[status(thm)],[35180])).
% 39.93/26.36 tff(35182,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB86) | v163(constB86) | (~v160(constB86)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB86)) | v164(constB86) | v163(constB86))),
% 39.93/26.36 inference(transitivity,[status(thm)],[35181, 35179])).
% 39.93/26.36 tff(35183,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB86) | v163(constB86) | (~v160(constB86)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35184,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB86)) | v164(constB86) | v163(constB86)),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35183, 35182])).
% 39.93/26.36 tff(35185,plain,
% 39.93/26.36 ((~v160(constB86)) | v163(constB86)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35184, 17312, 35178])).
% 39.93/26.36 tff(35186,plain,
% 39.93/26.36 (~v160(constB86)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35185, 35174])).
% 39.93/26.36 tff(35187,plain,
% 39.93/26.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35188,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35189,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35188, 35187])).
% 39.93/26.36 tff(35190,plain,
% 39.93/26.36 (v160(constB86) | (~v162(constB87))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35189, 17330, 10292])).
% 39.93/26.36 tff(35191,plain,
% 39.93/26.36 (~v162(constB87)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35190, 35186])).
% 39.93/26.36 tff(35192,plain,
% 39.93/26.36 ($false),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35191, 35056])).
% 39.93/26.36 tff(35193,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.36 tff(35194,assumption,(constB150 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.36 tff(35195,plain,
% 39.93/26.36 (v1(constB150) <=> v1(sK0_VarCurr)),
% 39.93/26.36 inference(monotonicity,[status(thm)],[35194])).
% 39.93/26.36 tff(35196,plain,
% 39.93/26.36 (v1(sK0_VarCurr) <=> v1(constB150)),
% 39.93/26.36 inference(symmetry,[status(thm)],[35195])).
% 39.93/26.36 tff(35197,plain,
% 39.93/26.36 ((~v1(sK0_VarCurr)) <=> (~v1(constB150))),
% 39.93/26.36 inference(monotonicity,[status(thm)],[35196])).
% 39.93/26.36 tff(35198,plain,
% 39.93/26.36 (~v1(constB150)),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[23858, 35197])).
% 39.93/26.36 tff(35199,plain,
% 39.93/26.36 ($false),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[14, 35198])).
% 39.93/26.36 tff(35200,plain,(~(constB150 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.36 tff(35201,assumption,(constB54 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.36 tff(35202,plain,
% 39.93/26.36 (v1(constB54) <=> v1(sK0_VarCurr)),
% 39.93/26.36 inference(monotonicity,[status(thm)],[35201])).
% 39.93/26.36 tff(35203,plain,
% 39.93/26.36 (v1(sK0_VarCurr) <=> v1(constB54)),
% 39.93/26.36 inference(symmetry,[status(thm)],[35202])).
% 39.93/26.36 tff(35204,plain,
% 39.93/26.36 ((~v1(sK0_VarCurr)) <=> (~v1(constB54))),
% 39.93/26.36 inference(monotonicity,[status(thm)],[35203])).
% 39.93/26.36 tff(35205,plain,
% 39.93/26.36 (~v1(constB54)),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[23858, 35204])).
% 39.93/26.36 tff(35206,plain,
% 39.93/26.36 ($false),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[6478, 35205])).
% 39.93/26.36 tff(35207,plain,(~(constB54 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.36 tff(35208,assumption,(constB105 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.36 tff(35209,plain,
% 39.93/26.36 (v162(constB105) <=> v162(sK0_VarCurr)),
% 39.93/26.36 inference(monotonicity,[status(thm)],[35208])).
% 39.93/26.36 tff(35210,plain,
% 39.93/26.36 (v162(sK0_VarCurr) <=> v162(constB105)),
% 39.93/26.36 inference(symmetry,[status(thm)],[35209])).
% 39.93/26.36 tff(35211,plain,
% 39.93/26.36 (v162(constB105)),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[17398, 35210])).
% 39.93/26.36 tff(35212,plain,
% 39.93/26.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB99, bitIndex1)) | (~v145(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB99, bitIndex1)) | (~v145(constB99)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35213,plain,
% 39.93/26.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB99, bitIndex1)) | (~v145(constB99)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35214,plain,
% 39.93/26.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB99, bitIndex1)) | (~v145(constB99))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35213, 35212])).
% 39.93/26.36 tff(35215,plain,
% 39.93/26.36 (~v145(constB99)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35214, 1116, 11862])).
% 39.93/26.36 tff(35216,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB99) | (~v144(constB99)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB99) | (~v144(constB99)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35217,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB99) | (~v144(constB99)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35218,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB99) | (~v144(constB99))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35217, 35216])).
% 39.93/26.36 tff(35219,plain,
% 39.93/26.36 (~v144(constB99)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35218, 17003, 35215])).
% 39.93/26.36 tff(35220,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB99) | (~v142(constB99)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB99) | (~v142(constB99)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35221,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB99) | (~v142(constB99)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35222,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB99) | (~v142(constB99))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35221, 35220])).
% 39.93/26.36 tff(35223,plain,
% 39.93/26.36 (~v142(constB99)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35222, 17014, 35219])).
% 39.93/26.36 tff(35224,plain,
% 39.93/26.36 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB99)) | (~v138(constB99)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB99)) | (~v138(constB99)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35225,plain,
% 39.93/26.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB99)) | (~v138(constB99)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35226,plain,
% 39.93/26.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB99)) | (~v138(constB99))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35225, 35224])).
% 39.93/26.36 tff(35227,plain,
% 39.93/26.36 (~v138(constB99)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35226, 108, 33616])).
% 39.93/26.36 tff(35228,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB99) | v142(constB99) | (~v135(constB99)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB99) | v142(constB99) | (~v135(constB99)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35229,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB99) | v142(constB99) | (~v135(constB99)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35230,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB99) | v142(constB99) | (~v135(constB99))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35229, 35228])).
% 39.93/26.36 tff(35231,plain,
% 39.93/26.36 (v142(constB99) | (~v135(constB99))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35230, 17028, 35227])).
% 39.93/26.36 tff(35232,plain,
% 39.93/26.36 (~v135(constB99)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35231, 35223])).
% 39.93/26.36 tff(35233,plain,
% 39.93/26.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB99, constB100)) | v135(constB99) | (~v137(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB99, constB100)) | v135(constB99) | (~v137(constB100)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35234,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB99, constB100)) | v135(constB99) | (~v137(constB100)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35235,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB99, constB100)) | v135(constB99) | (~v137(constB100))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35234, 35233])).
% 39.93/26.36 tff(35236,plain,
% 39.93/26.36 (v135(constB99) | (~v137(constB100))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35235, 17043, 11939])).
% 39.93/26.36 tff(35237,plain,
% 39.93/26.36 (~v137(constB100)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35236, 35232])).
% 39.93/26.36 tff(35238,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB100) | (~v138(constB100)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB100) | (~v138(constB100)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35239,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB100) | (~v138(constB100)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35240,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB100) | (~v138(constB100))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35239, 35238])).
% 39.93/26.36 tff(35241,plain,
% 39.93/26.36 (~v138(constB100)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35240, 17055, 35237])).
% 39.93/26.36 tff(35242,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB100) | (~v144(constB100)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB100) | (~v144(constB100)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35243,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB100) | (~v144(constB100)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35244,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB100) | (~v144(constB100))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35243, 35242])).
% 39.93/26.36 tff(35245,plain,
% 39.93/26.36 (~v144(constB100)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35244, 17077, 33641])).
% 39.93/26.36 tff(35246,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB100) | (~v142(constB100)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB100) | (~v142(constB100)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35247,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB100) | (~v142(constB100)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35248,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB100) | (~v142(constB100))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35247, 35246])).
% 39.93/26.36 tff(35249,plain,
% 39.93/26.36 (~v142(constB100)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35248, 17014, 35245])).
% 39.93/26.36 tff(35250,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB100) | v142(constB100) | (~v135(constB100)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB100) | v142(constB100) | (~v135(constB100)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35251,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB100) | v142(constB100) | (~v135(constB100)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35252,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB100) | v142(constB100) | (~v135(constB100))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35251, 35250])).
% 39.93/26.36 tff(35253,plain,
% 39.93/26.36 (v138(constB100) | (~v135(constB100))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35252, 17028, 35249])).
% 39.93/26.36 tff(35254,plain,
% 39.93/26.36 (~v135(constB100)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35253, 35241])).
% 39.93/26.36 tff(35255,plain,
% 39.93/26.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB100, constB101)) | v135(constB100) | (~v137(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB100, constB101)) | v135(constB100) | (~v137(constB101)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35256,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB100, constB101)) | v135(constB100) | (~v137(constB101)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35257,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB100, constB101)) | v135(constB100) | (~v137(constB101))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35256, 35255])).
% 39.93/26.36 tff(35258,plain,
% 39.93/26.36 (v135(constB100) | (~v137(constB101))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35257, 17043, 12004])).
% 39.93/26.36 tff(35259,plain,
% 39.93/26.36 (~v137(constB101)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35258, 35254])).
% 39.93/26.36 tff(35260,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB101) | (~v154(constB101)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB101) | (~v154(constB101)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35261,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB101) | (~v154(constB101)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35262,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB101) | (~v154(constB101))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35261, 35260])).
% 39.93/26.36 tff(35263,plain,
% 39.93/26.36 (~v154(constB101)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35262, 17105, 35259])).
% 39.93/26.36 tff(35264,plain,
% 39.93/26.36 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB101)) | (~v153(constB101)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB101)) | (~v153(constB101)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35265,plain,
% 39.93/26.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB101)) | (~v153(constB101)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35266,plain,
% 39.93/26.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB101)) | (~v153(constB101))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35265, 35264])).
% 39.93/26.36 tff(35267,plain,
% 39.93/26.36 (~v153(constB101)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35266, 17156, 33370])).
% 39.93/26.36 tff(35268,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB101) | v154(constB101) | (~v150(constB101)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB101) | v154(constB101) | (~v150(constB101)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35269,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB101) | v154(constB101) | (~v150(constB101)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35270,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB101) | v154(constB101) | (~v150(constB101))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35269, 35268])).
% 39.93/26.36 tff(35271,plain,
% 39.93/26.36 (v154(constB101) | (~v150(constB101))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35270, 17170, 35267])).
% 39.93/26.36 tff(35272,plain,
% 39.93/26.36 (~v150(constB101)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35271, 35263])).
% 39.93/26.36 tff(35273,plain,
% 39.93/26.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB101, constB102)) | v150(constB101) | (~v152(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB101, constB102)) | v150(constB101) | (~v152(constB102)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35274,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB101, constB102)) | v150(constB101) | (~v152(constB102)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35275,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB101, constB102)) | v150(constB101) | (~v152(constB102))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35274, 35273])).
% 39.93/26.36 tff(35276,plain,
% 39.93/26.36 (v150(constB101) | (~v152(constB102))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35275, 17185, 12107])).
% 39.93/26.36 tff(35277,plain,
% 39.93/26.36 (~v152(constB102)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35276, 35272])).
% 39.93/26.36 tff(35278,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB102) | (~v153(constB102)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB102) | (~v153(constB102)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35279,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB102) | (~v153(constB102)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35280,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB102) | (~v153(constB102))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35279, 35278])).
% 39.93/26.36 tff(35281,plain,
% 39.93/26.36 (~v153(constB102)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35280, 17197, 35277])).
% 39.93/26.36 tff(35282,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB102) | (~v155(constB102)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB102) | (~v155(constB102)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35283,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB102) | (~v155(constB102)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35284,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB102) | (~v155(constB102))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35283, 35282])).
% 39.93/26.36 tff(35285,plain,
% 39.93/26.36 (~v155(constB102)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35284, 17212, 33392])).
% 39.93/26.36 tff(35286,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB102) | (~v154(constB102)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB102) | (~v154(constB102)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35287,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB102) | (~v154(constB102)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35288,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB102) | (~v154(constB102))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35287, 35286])).
% 39.93/26.36 tff(35289,plain,
% 39.93/26.36 (~v154(constB102)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35288, 17223, 35285])).
% 39.93/26.36 tff(35290,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB102) | v154(constB102) | (~v150(constB102)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB102) | v154(constB102) | (~v150(constB102)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35291,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB102) | v154(constB102) | (~v150(constB102)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35292,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB102) | v154(constB102) | (~v150(constB102))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35291, 35290])).
% 39.93/26.36 tff(35293,plain,
% 39.93/26.36 (v153(constB102) | (~v150(constB102))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35292, 17170, 35289])).
% 39.93/26.36 tff(35294,plain,
% 39.93/26.36 (~v150(constB102)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35293, 35281])).
% 39.93/26.36 tff(35295,plain,
% 39.93/26.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB102, constB103)) | v150(constB102) | (~v152(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB102, constB103)) | v150(constB102) | (~v152(constB103)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35296,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB102, constB103)) | v150(constB102) | (~v152(constB103)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35297,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB102, constB103)) | v150(constB102) | (~v152(constB103))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35296, 35295])).
% 39.93/26.36 tff(35298,plain,
% 39.93/26.36 (v150(constB102) | (~v152(constB103))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35297, 17185, 12337])).
% 39.93/26.36 tff(35299,plain,
% 39.93/26.36 (~v152(constB103)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35298, 35294])).
% 39.93/26.36 tff(35300,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB103) | (~v164(constB103)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB103) | (~v164(constB103)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35301,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB103) | (~v164(constB103)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35302,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB103) | (~v164(constB103))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35301, 35300])).
% 39.93/26.36 tff(35303,plain,
% 39.93/26.36 (~v164(constB103)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35302, 17247, 35299])).
% 39.93/26.36 tff(35304,plain,
% 39.93/26.36 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB103)) | (~v163(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB103)) | (~v163(constB103)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35305,plain,
% 39.93/26.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB103)) | (~v163(constB103)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35306,plain,
% 39.93/26.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB103)) | (~v163(constB103))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35305, 35304])).
% 39.93/26.36 tff(35307,plain,
% 39.93/26.36 (~v163(constB103)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35306, 17298, 28910])).
% 39.93/26.36 tff(35308,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB103)) | v163(constB103) | v164(constB103))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB103)) | v163(constB103) | v164(constB103))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35309,plain,
% 39.93/26.36 ((v164(constB103) | v163(constB103) | (~v160(constB103))) <=> ((~v160(constB103)) | v163(constB103) | v164(constB103))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35310,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB103) | v163(constB103) | (~v160(constB103)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB103)) | v163(constB103) | v164(constB103)))),
% 39.93/26.36 inference(monotonicity,[status(thm)],[35309])).
% 39.93/26.36 tff(35311,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB103) | v163(constB103) | (~v160(constB103)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB103)) | v163(constB103) | v164(constB103))),
% 39.93/26.36 inference(transitivity,[status(thm)],[35310, 35308])).
% 39.93/26.36 tff(35312,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB103) | v163(constB103) | (~v160(constB103)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35313,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB103)) | v163(constB103) | v164(constB103)),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35312, 35311])).
% 39.93/26.36 tff(35314,plain,
% 39.93/26.36 ((~v160(constB103)) | v164(constB103)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35313, 17312, 35307])).
% 39.93/26.36 tff(35315,plain,
% 39.93/26.36 (~v160(constB103)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35314, 35303])).
% 39.93/26.36 tff(35316,plain,
% 39.93/26.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB103, constB104)) | v160(constB103) | (~v162(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB103, constB104)) | v160(constB103) | (~v162(constB104)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35317,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB103, constB104)) | v160(constB103) | (~v162(constB104)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35318,plain,
% 39.93/26.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB103, constB104)) | v160(constB103) | (~v162(constB104))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35317, 35316])).
% 39.93/26.36 tff(35319,plain,
% 39.93/26.36 (v160(constB103) | (~v162(constB104))),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35318, 17330, 12461])).
% 39.93/26.36 tff(35320,plain,
% 39.93/26.36 (~v162(constB104)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35319, 35315])).
% 39.93/26.36 tff(35321,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB104) | (~v163(constB104)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB104) | (~v163(constB104)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35322,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB104) | (~v163(constB104)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35323,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB104) | (~v163(constB104))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35322, 35321])).
% 39.93/26.36 tff(35324,plain,
% 39.93/26.36 (~v163(constB104)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35323, 17342, 35320])).
% 39.93/26.36 tff(35325,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB104) | (~v164(constB104)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB104) | (~v164(constB104)))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35326,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB104) | (~v164(constB104)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35327,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB104) | (~v164(constB104))),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35326, 35325])).
% 39.93/26.36 tff(35328,plain,
% 39.93/26.36 (~v164(constB104)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35327, 17361, 33436])).
% 39.93/26.36 tff(35329,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB104)) | v164(constB104) | v163(constB104))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB104)) | v164(constB104) | v163(constB104))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35330,plain,
% 39.93/26.36 ((v164(constB104) | v163(constB104) | (~v160(constB104))) <=> ((~v160(constB104)) | v164(constB104) | v163(constB104))),
% 39.93/26.36 inference(rewrite,[status(thm)],[])).
% 39.93/26.36 tff(35331,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB104) | v163(constB104) | (~v160(constB104)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB104)) | v164(constB104) | v163(constB104)))),
% 39.93/26.36 inference(monotonicity,[status(thm)],[35330])).
% 39.93/26.36 tff(35332,plain,
% 39.93/26.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB104) | v163(constB104) | (~v160(constB104)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB104)) | v164(constB104) | v163(constB104))),
% 39.93/26.36 inference(transitivity,[status(thm)],[35331, 35329])).
% 39.93/26.36 tff(35333,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB104) | v163(constB104) | (~v160(constB104)))),
% 39.93/26.36 inference(quant_inst,[status(thm)],[])).
% 39.93/26.36 tff(35334,plain,
% 39.93/26.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB104)) | v164(constB104) | v163(constB104)),
% 39.93/26.36 inference(modus_ponens,[status(thm)],[35333, 35332])).
% 39.93/26.36 tff(35335,plain,
% 39.93/26.36 ((~v160(constB104)) | v163(constB104)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35334, 17312, 35328])).
% 39.93/26.36 tff(35336,plain,
% 39.93/26.36 (~v160(constB104)),
% 39.93/26.36 inference(unit_resolution,[status(thm)],[35335, 35324])).
% 39.93/26.36 tff(35337,plain,
% 39.93/26.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB104, constB105)) | v160(constB104) | (~v162(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB104, constB105)) | v160(constB104) | (~v162(constB105)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35338,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB104, constB105)) | v160(constB104) | (~v162(constB105)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35339,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB104, constB105)) | v160(constB104) | (~v162(constB105))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35338, 35337])).
% 39.93/26.37 tff(35340,plain,
% 39.93/26.37 (v160(constB104) | (~v162(constB105))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35339, 17330, 12523])).
% 39.93/26.37 tff(35341,plain,
% 39.93/26.37 (~v162(constB105)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35340, 35336])).
% 39.93/26.37 tff(35342,plain,
% 39.93/26.37 ($false),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35341, 35211])).
% 39.93/26.37 tff(35343,plain,(~(constB105 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.37 tff(35344,assumption,(constB160 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.37 tff(35345,plain,
% 39.93/26.37 (v1(constB160) <=> v1(sK0_VarCurr)),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35344])).
% 39.93/26.37 tff(35346,plain,
% 39.93/26.37 (v1(sK0_VarCurr) <=> v1(constB160)),
% 39.93/26.37 inference(symmetry,[status(thm)],[35345])).
% 39.93/26.37 tff(35347,plain,
% 39.93/26.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB160))),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35346])).
% 39.93/26.37 tff(35348,plain,
% 39.93/26.37 (~v1(constB160)),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[23858, 35347])).
% 39.93/26.37 tff(35349,plain,
% 39.93/26.37 ($false),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[18826, 35348])).
% 39.93/26.37 tff(35350,plain,(~(constB160 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.37 tff(35351,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.37 tff(35352,plain,
% 39.93/26.37 (v162(constB129) <=> v162(sK0_VarCurr)),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35351])).
% 39.93/26.37 tff(35353,plain,
% 39.93/26.37 (v162(sK0_VarCurr) <=> v162(constB129)),
% 39.93/26.37 inference(symmetry,[status(thm)],[35352])).
% 39.93/26.37 tff(35354,plain,
% 39.93/26.37 (v162(constB129)),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[17398, 35353])).
% 39.93/26.37 tff(35355,plain,
% 39.93/26.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB123, bitIndex2)) | (~v145(constB123)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35356,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v145(constB123)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35357,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB123, bitIndex2)) | (~v145(constB123))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35356, 35355])).
% 39.93/26.37 tff(35358,plain,
% 39.93/26.37 (~v145(constB123)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35357, 5709, 14357])).
% 39.93/26.37 tff(35359,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB123) | (~v144(constB123)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB123) | (~v144(constB123)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35360,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB123) | (~v144(constB123)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35361,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB123) | (~v144(constB123))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35360, 35359])).
% 39.93/26.37 tff(35362,plain,
% 39.93/26.37 (~v144(constB123)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35361, 17003, 35358])).
% 39.93/26.37 tff(35363,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB123) | (~v142(constB123)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB123) | (~v142(constB123)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35364,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB123) | (~v142(constB123)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35365,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB123) | (~v142(constB123))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35364, 35363])).
% 39.93/26.37 tff(35366,plain,
% 39.93/26.37 (~v142(constB123)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35365, 17014, 35362])).
% 39.93/26.37 tff(35367,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB123) | (~v138(constB123)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB123) | (~v138(constB123)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35368,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB123) | (~v138(constB123)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35369,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB123) | (~v138(constB123))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35368, 35367])).
% 39.93/26.37 tff(35370,plain,
% 39.93/26.37 (~v138(constB123)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35369, 17055, 29869])).
% 39.93/26.37 tff(35371,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB123) | v142(constB123) | (~v135(constB123)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB123) | v142(constB123) | (~v135(constB123)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35372,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB123) | v142(constB123) | (~v135(constB123)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35373,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB123) | v142(constB123) | (~v135(constB123))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35372, 35371])).
% 39.93/26.37 tff(35374,plain,
% 39.93/26.37 (v142(constB123) | (~v135(constB123))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35373, 17028, 35370])).
% 39.93/26.37 tff(35375,plain,
% 39.93/26.37 (~v135(constB123)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35374, 35366])).
% 39.93/26.37 tff(35376,plain,
% 39.93/26.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB123, constB124)) | v135(constB123) | (~v137(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB123, constB124)) | v135(constB123) | (~v137(constB124)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35377,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB123, constB124)) | v135(constB123) | (~v137(constB124)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35378,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB123, constB124)) | v135(constB123) | (~v137(constB124))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35377, 35376])).
% 39.93/26.37 tff(35379,plain,
% 39.93/26.37 (v135(constB123) | (~v137(constB124))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35378, 17043, 14457])).
% 39.93/26.37 tff(35380,plain,
% 39.93/26.37 (~v137(constB124)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35379, 35375])).
% 39.93/26.37 tff(35381,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB124) | (~v138(constB124)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB124) | (~v138(constB124)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35382,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB124) | (~v138(constB124)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35383,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB124) | (~v138(constB124))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35382, 35381])).
% 39.93/26.37 tff(35384,plain,
% 39.93/26.37 (~v138(constB124)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35383, 17055, 35380])).
% 39.93/26.37 tff(35385,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB124) | (~v144(constB124)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB124) | (~v144(constB124)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35386,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB124) | (~v144(constB124)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35387,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB124) | (~v144(constB124))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35386, 35385])).
% 39.93/26.37 tff(35388,plain,
% 39.93/26.37 (~v144(constB124)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35387, 17077, 24082])).
% 39.93/26.37 tff(35389,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB124) | (~v142(constB124)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB124) | (~v142(constB124)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35390,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB124) | (~v142(constB124)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35391,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB124) | (~v142(constB124))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35390, 35389])).
% 39.93/26.37 tff(35392,plain,
% 39.93/26.37 (~v142(constB124)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35391, 17014, 35388])).
% 39.93/26.37 tff(35393,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB124) | v142(constB124) | (~v135(constB124)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB124) | v142(constB124) | (~v135(constB124)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35394,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB124) | v142(constB124) | (~v135(constB124)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35395,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB124) | v142(constB124) | (~v135(constB124))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35394, 35393])).
% 39.93/26.37 tff(35396,plain,
% 39.93/26.37 (v138(constB124) | (~v135(constB124))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35395, 17028, 35392])).
% 39.93/26.37 tff(35397,plain,
% 39.93/26.37 (~v135(constB124)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35396, 35384])).
% 39.93/26.37 tff(35398,plain,
% 39.93/26.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB124, constB125)) | v135(constB124) | (~v137(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB124, constB125)) | v135(constB124) | (~v137(constB125)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35399,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB124, constB125)) | v135(constB124) | (~v137(constB125)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35400,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB124, constB125)) | v135(constB124) | (~v137(constB125))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35399, 35398])).
% 39.93/26.37 tff(35401,plain,
% 39.93/26.37 (v135(constB124) | (~v137(constB125))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35400, 17043, 14519])).
% 39.93/26.37 tff(35402,plain,
% 39.93/26.37 (~v137(constB125)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35401, 35397])).
% 39.93/26.37 tff(35403,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB125) | (~v154(constB125)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB125) | (~v154(constB125)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35404,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB125) | (~v154(constB125)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35405,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB125) | (~v154(constB125))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35404, 35403])).
% 39.93/26.37 tff(35406,plain,
% 39.93/26.37 (~v154(constB125)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35405, 17105, 35402])).
% 39.93/26.37 tff(35407,plain,
% 39.93/26.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB125)) | (~v153(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB125)) | (~v153(constB125)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35408,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB125)) | (~v153(constB125)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35409,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB125)) | (~v153(constB125))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35408, 35407])).
% 39.93/26.37 tff(35410,plain,
% 39.93/26.37 (~v153(constB125)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35409, 17156, 29236])).
% 39.93/26.37 tff(35411,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB125) | v154(constB125) | (~v150(constB125)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB125) | v154(constB125) | (~v150(constB125)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35412,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB125) | v154(constB125) | (~v150(constB125)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35413,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB125) | v154(constB125) | (~v150(constB125))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35412, 35411])).
% 39.93/26.37 tff(35414,plain,
% 39.93/26.37 (v154(constB125) | (~v150(constB125))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35413, 17170, 35410])).
% 39.93/26.37 tff(35415,plain,
% 39.93/26.37 (~v150(constB125)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35414, 35406])).
% 39.93/26.37 tff(35416,plain,
% 39.93/26.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB125, constB126)) | v150(constB125) | (~v152(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB125, constB126)) | v150(constB125) | (~v152(constB126)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35417,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB125, constB126)) | v150(constB125) | (~v152(constB126)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35418,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB125, constB126)) | v150(constB125) | (~v152(constB126))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35417, 35416])).
% 39.93/26.37 tff(35419,plain,
% 39.93/26.37 (v150(constB125) | (~v152(constB126))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35418, 17185, 14632])).
% 39.93/26.37 tff(35420,plain,
% 39.93/26.37 (~v152(constB126)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35419, 35415])).
% 39.93/26.37 tff(35421,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB126) | (~v153(constB126)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB126) | (~v153(constB126)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35422,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB126) | (~v153(constB126)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35423,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB126) | (~v153(constB126))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35422, 35421])).
% 39.93/26.37 tff(35424,plain,
% 39.93/26.37 (~v153(constB126)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35423, 17197, 35420])).
% 39.93/26.37 tff(35425,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB126) | (~v154(constB126)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB126) | (~v154(constB126)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35426,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB126) | (~v154(constB126)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35427,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB126) | (~v154(constB126))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35426, 35425])).
% 39.93/26.37 tff(35428,plain,
% 39.93/26.37 (~v154(constB126)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35427, 17223, 29934])).
% 39.93/26.37 tff(35429,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB126) | v154(constB126) | (~v150(constB126)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB126) | v154(constB126) | (~v150(constB126)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35430,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB126) | v154(constB126) | (~v150(constB126)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35431,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB126) | v154(constB126) | (~v150(constB126))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35430, 35429])).
% 39.93/26.37 tff(35432,plain,
% 39.93/26.37 (v153(constB126) | (~v150(constB126))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35431, 17170, 35428])).
% 39.93/26.37 tff(35433,plain,
% 39.93/26.37 (~v150(constB126)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35432, 35424])).
% 39.93/26.37 tff(35434,plain,
% 39.93/26.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB126, constB127)) | v150(constB126) | (~v152(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB126, constB127)) | v150(constB126) | (~v152(constB127)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35435,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB126, constB127)) | v150(constB126) | (~v152(constB127)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35436,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB126, constB127)) | v150(constB126) | (~v152(constB127))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35435, 35434])).
% 39.93/26.37 tff(35437,plain,
% 39.93/26.37 (v150(constB126) | (~v152(constB127))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35436, 17185, 14724])).
% 39.93/26.37 tff(35438,plain,
% 39.93/26.37 (~v152(constB127)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35437, 35433])).
% 39.93/26.37 tff(35439,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB127) | (~v164(constB127)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB127) | (~v164(constB127)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35440,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB127) | (~v164(constB127)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35441,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB127) | (~v164(constB127))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35440, 35439])).
% 39.93/26.37 tff(35442,plain,
% 39.93/26.37 (~v164(constB127)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35441, 17247, 35438])).
% 39.93/26.37 tff(35443,plain,
% 39.93/26.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB127)) | (~v163(constB127)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB127)) | (~v163(constB127)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35444,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB127)) | (~v163(constB127)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35445,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB127)) | (~v163(constB127))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35444, 35443])).
% 39.93/26.37 tff(35446,plain,
% 39.93/26.37 (~v163(constB127)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35445, 17298, 29314])).
% 39.93/26.37 tff(35447,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB127)) | v163(constB127) | v164(constB127))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB127)) | v163(constB127) | v164(constB127))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35448,plain,
% 39.93/26.37 ((v164(constB127) | v163(constB127) | (~v160(constB127))) <=> ((~v160(constB127)) | v163(constB127) | v164(constB127))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35449,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB127) | v163(constB127) | (~v160(constB127)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB127)) | v163(constB127) | v164(constB127)))),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35448])).
% 39.93/26.37 tff(35450,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB127) | v163(constB127) | (~v160(constB127)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB127)) | v163(constB127) | v164(constB127))),
% 39.93/26.37 inference(transitivity,[status(thm)],[35449, 35447])).
% 39.93/26.37 tff(35451,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB127) | v163(constB127) | (~v160(constB127)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35452,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB127)) | v163(constB127) | v164(constB127)),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35451, 35450])).
% 39.93/26.37 tff(35453,plain,
% 39.93/26.37 ((~v160(constB127)) | v164(constB127)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35452, 17312, 35446])).
% 39.93/26.37 tff(35454,plain,
% 39.93/26.37 (~v160(constB127)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35453, 35442])).
% 39.93/26.37 tff(35455,plain,
% 39.93/26.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB127, constB128)) | v160(constB127) | (~v162(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB127, constB128)) | v160(constB127) | (~v162(constB128)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35456,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB127, constB128)) | v160(constB127) | (~v162(constB128)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35457,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB127, constB128)) | v160(constB127) | (~v162(constB128))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35456, 35455])).
% 39.93/26.37 tff(35458,plain,
% 39.93/26.37 (v160(constB127) | (~v162(constB128))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35457, 17330, 14860])).
% 39.93/26.37 tff(35459,plain,
% 39.93/26.37 (~v162(constB128)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35458, 35454])).
% 39.93/26.37 tff(35460,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB128) | (~v163(constB128)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB128) | (~v163(constB128)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35461,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB128) | (~v163(constB128)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35462,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB128) | (~v163(constB128))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 39.93/26.37 tff(35463,plain,
% 39.93/26.37 (~v163(constB128)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35462, 17342, 35459])).
% 39.93/26.37 tff(35464,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB128) | (~v164(constB128)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB128) | (~v164(constB128)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35465,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB128) | (~v164(constB128)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35466,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB128) | (~v164(constB128))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35465, 35464])).
% 39.93/26.37 tff(35467,plain,
% 39.93/26.37 (~v164(constB128)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35466, 17361, 29340])).
% 39.93/26.37 tff(35468,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB128)) | v164(constB128) | v163(constB128))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB128)) | v164(constB128) | v163(constB128))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35469,plain,
% 39.93/26.37 ((v164(constB128) | v163(constB128) | (~v160(constB128))) <=> ((~v160(constB128)) | v164(constB128) | v163(constB128))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35470,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB128) | v163(constB128) | (~v160(constB128)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB128)) | v164(constB128) | v163(constB128)))),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35469])).
% 39.93/26.37 tff(35471,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB128) | v163(constB128) | (~v160(constB128)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB128)) | v164(constB128) | v163(constB128))),
% 39.93/26.37 inference(transitivity,[status(thm)],[35470, 35468])).
% 39.93/26.37 tff(35472,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB128) | v163(constB128) | (~v160(constB128)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35473,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB128)) | v164(constB128) | v163(constB128)),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35472, 35471])).
% 39.93/26.37 tff(35474,plain,
% 39.93/26.37 ((~v160(constB128)) | v163(constB128)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35473, 17312, 35467])).
% 39.93/26.37 tff(35475,plain,
% 39.93/26.37 (~v160(constB128)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35474, 35463])).
% 39.93/26.37 tff(35476,plain,
% 39.93/26.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB128, constB129)) | v160(constB128) | (~v162(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB128, constB129)) | v160(constB128) | (~v162(constB129)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35477,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB128, constB129)) | v160(constB128) | (~v162(constB129)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35478,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB128, constB129)) | v160(constB128) | (~v162(constB129))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35477, 35476])).
% 39.93/26.37 tff(35479,plain,
% 39.93/26.37 (v160(constB128) | (~v162(constB129))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35478, 17330, 14925])).
% 39.93/26.37 tff(35480,plain,
% 39.93/26.37 (~v162(constB129)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35479, 35475])).
% 39.93/26.37 tff(35481,plain,
% 39.93/26.37 ($false),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35480, 35354])).
% 39.93/26.37 tff(35482,plain,(~(constB129 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.37 tff(35483,assumption,(constB200 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.37 tff(35484,plain,
% 39.93/26.37 (v1(constB200) <=> v1(sK0_VarCurr)),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35483])).
% 39.93/26.37 tff(35485,plain,
% 39.93/26.37 (v1(sK0_VarCurr) <=> v1(constB200)),
% 39.93/26.37 inference(symmetry,[status(thm)],[35484])).
% 39.93/26.37 tff(35486,plain,
% 39.93/26.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB200))),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35485])).
% 39.93/26.37 tff(35487,plain,
% 39.93/26.37 (~v1(constB200)),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[23858, 35486])).
% 39.93/26.37 tff(35488,plain,
% 39.93/26.37 (v1(constB200) <=> v1(constB200)),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35489,axiom,(v1(constB200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_200_1')).
% 39.93/26.37 tff(35490,plain,
% 39.93/26.37 (v1(constB200)),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35489, 35488])).
% 39.93/26.37 tff(35491,plain,
% 39.93/26.37 ($false),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35490, 35487])).
% 39.93/26.37 tff(35492,plain,(~(constB200 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.37 tff(35493,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.37 tff(35494,plain,
% 39.93/26.37 (v1(constB152) <=> v1(sK0_VarCurr)),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35493])).
% 39.93/26.37 tff(35495,plain,
% 39.93/26.37 (v1(sK0_VarCurr) <=> v1(constB152)),
% 39.93/26.37 inference(symmetry,[status(thm)],[35494])).
% 39.93/26.37 tff(35496,plain,
% 39.93/26.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35495])).
% 39.93/26.37 tff(35497,plain,
% 39.93/26.37 (~v1(constB152)),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[23858, 35496])).
% 39.93/26.37 tff(35498,plain,
% 39.93/26.37 ($false),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[17116, 35497])).
% 39.93/26.37 tff(35499,plain,(~(constB152 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.37 tff(35500,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.37 tff(35501,plain,
% 39.93/26.37 (v162(constB115) <=> v162(sK0_VarCurr)),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35500])).
% 39.93/26.37 tff(35502,plain,
% 39.93/26.37 (v162(sK0_VarCurr) <=> v162(constB115)),
% 39.93/26.37 inference(symmetry,[status(thm)],[35501])).
% 39.93/26.37 tff(35503,plain,
% 39.93/26.37 (v162(constB115)),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[17398, 35502])).
% 39.93/26.37 tff(35504,plain,
% 39.93/26.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v145(constB109)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35505,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v145(constB109)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35506,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v145(constB109))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35505, 35504])).
% 39.93/26.37 tff(35507,plain,
% 39.93/26.37 (~v145(constB109)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35506, 1116, 12981])).
% 39.93/26.37 tff(35508,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB109) | (~v144(constB109)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB109) | (~v144(constB109)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35509,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB109) | (~v144(constB109)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35510,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB109) | (~v144(constB109))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35509, 35508])).
% 39.93/26.37 tff(35511,plain,
% 39.93/26.37 (~v144(constB109)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35510, 17003, 35507])).
% 39.93/26.37 tff(35512,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB109) | (~v142(constB109)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35513,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB109) | (~v142(constB109)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35514,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB109) | (~v142(constB109))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35513, 35512])).
% 39.93/26.37 tff(35515,plain,
% 39.93/26.37 (~v142(constB109)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35514, 17014, 35511])).
% 39.93/26.37 tff(35516,plain,
% 39.93/26.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB109)) | (~v140(constB109)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB109)) | (~v140(constB109)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35517,plain,
% 39.93/26.37 (((~v140(constB109)) | (~v138(constB109))) <=> ((~v138(constB109)) | (~v140(constB109)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35518,plain,
% 39.93/26.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB109)) | (~v138(constB109)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB109)) | (~v140(constB109))))),
% 39.93/26.37 inference(monotonicity,[status(thm)],[35517])).
% 39.93/26.37 tff(35519,plain,
% 39.93/26.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB109)) | (~v138(constB109)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB109)) | (~v140(constB109)))),
% 39.93/26.37 inference(transitivity,[status(thm)],[35518, 35516])).
% 39.93/26.37 tff(35520,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB109)) | (~v138(constB109)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35521,plain,
% 39.93/26.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB109)) | (~v140(constB109))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35520, 35519])).
% 39.93/26.37 tff(35522,plain,
% 39.93/26.37 (~v138(constB109)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35521, 108, 24332])).
% 39.93/26.37 tff(35523,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB109) | v142(constB109) | (~v135(constB109)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB109) | v142(constB109) | (~v135(constB109)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35524,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB109) | v142(constB109) | (~v135(constB109)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35525,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB109) | v142(constB109) | (~v135(constB109))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35524, 35523])).
% 39.93/26.37 tff(35526,plain,
% 39.93/26.37 (v142(constB109) | (~v135(constB109))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35525, 17028, 35522])).
% 39.93/26.37 tff(35527,plain,
% 39.93/26.37 (~v135(constB109)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35526, 35515])).
% 39.93/26.37 tff(35528,plain,
% 39.93/26.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35529,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35530,plain,
% 39.93/26.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35529, 35528])).
% 39.93/26.37 tff(35531,plain,
% 39.93/26.37 (v135(constB109) | (~v137(constB110))),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35530, 17043, 13059])).
% 39.93/26.37 tff(35532,plain,
% 39.93/26.37 (~v137(constB110)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35531, 35527])).
% 39.93/26.37 tff(35533,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB110) | (~v138(constB110)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB110) | (~v138(constB110)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35534,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB110) | (~v138(constB110)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.37 tff(35535,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB110) | (~v138(constB110))),
% 39.93/26.37 inference(modus_ponens,[status(thm)],[35534, 35533])).
% 39.93/26.37 tff(35536,plain,
% 39.93/26.37 (~v138(constB110)),
% 39.93/26.37 inference(unit_resolution,[status(thm)],[35535, 17055, 35532])).
% 39.93/26.37 tff(35537,plain,
% 39.93/26.37 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB110) | (~v144(constB110)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB110) | (~v144(constB110)))),
% 39.93/26.37 inference(rewrite,[status(thm)],[])).
% 39.93/26.37 tff(35538,plain,
% 39.93/26.37 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB110) | (~v144(constB110)))),
% 39.93/26.37 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35539,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB110) | (~v144(constB110))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35538, 35537])).
% 39.93/26.38 tff(35540,plain,
% 39.93/26.38 (~v144(constB110)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35539, 17077, 24357])).
% 39.93/26.38 tff(35541,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB110) | (~v142(constB110)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB110) | (~v142(constB110)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35542,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB110) | (~v142(constB110)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35543,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB110) | (~v142(constB110))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35542, 35541])).
% 39.93/26.38 tff(35544,plain,
% 39.93/26.38 (~v142(constB110)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35543, 17014, 35540])).
% 39.93/26.38 tff(35545,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB110) | v142(constB110) | (~v135(constB110)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB110) | v142(constB110) | (~v135(constB110)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35546,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB110) | v142(constB110) | (~v135(constB110)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35547,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB110) | v142(constB110) | (~v135(constB110))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35546, 35545])).
% 39.93/26.38 tff(35548,plain,
% 39.93/26.38 (v138(constB110) | (~v135(constB110))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35547, 17028, 35544])).
% 39.93/26.38 tff(35549,plain,
% 39.93/26.38 (~v135(constB110)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35548, 35536])).
% 39.93/26.38 tff(35550,plain,
% 39.93/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35551,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35552,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35551, 35550])).
% 39.93/26.38 tff(35553,plain,
% 39.93/26.38 (v135(constB110) | (~v137(constB111))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35552, 17043, 13128])).
% 39.93/26.38 tff(35554,plain,
% 39.93/26.38 (~v137(constB111)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35553, 35549])).
% 39.93/26.38 tff(35555,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB111) | (~v154(constB111)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB111) | (~v154(constB111)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35556,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB111) | (~v154(constB111)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35557,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB111) | (~v154(constB111))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35556, 35555])).
% 39.93/26.38 tff(35558,plain,
% 39.93/26.38 (~v154(constB111)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35557, 17105, 35554])).
% 39.93/26.38 tff(35559,plain,
% 39.93/26.38 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB111)) | (~v153(constB111)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB111)) | (~v153(constB111)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35560,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB111)) | (~v153(constB111)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35561,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB111)) | (~v153(constB111))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35560, 35559])).
% 39.93/26.38 tff(35562,plain,
% 39.93/26.38 (~v153(constB111)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35561, 17156, 33711])).
% 39.93/26.38 tff(35563,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB111) | v154(constB111) | (~v150(constB111)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB111) | v154(constB111) | (~v150(constB111)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35564,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB111) | v154(constB111) | (~v150(constB111)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35565,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB111) | v154(constB111) | (~v150(constB111))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35564, 35563])).
% 39.93/26.38 tff(35566,plain,
% 39.93/26.38 (v154(constB111) | (~v150(constB111))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35565, 17170, 35562])).
% 39.93/26.38 tff(35567,plain,
% 39.93/26.38 (~v150(constB111)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35566, 35558])).
% 39.93/26.38 tff(35568,plain,
% 39.93/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35569,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35570,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35569, 35568])).
% 39.93/26.38 tff(35571,plain,
% 39.93/26.38 (v150(constB111) | (~v152(constB112))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35570, 17185, 13233])).
% 39.93/26.38 tff(35572,plain,
% 39.93/26.38 (~v152(constB112)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35571, 35567])).
% 39.93/26.38 tff(35573,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB112) | (~v153(constB112)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB112) | (~v153(constB112)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35574,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB112) | (~v153(constB112)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35575,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB112) | (~v153(constB112))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35574, 35573])).
% 39.93/26.38 tff(35576,plain,
% 39.93/26.38 (~v153(constB112)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35575, 17197, 35572])).
% 39.93/26.38 tff(35577,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB112) | (~v155(constB112)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB112) | (~v155(constB112)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35578,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB112) | (~v155(constB112)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35579,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB112) | (~v155(constB112))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35578, 35577])).
% 39.93/26.38 tff(35580,plain,
% 39.93/26.38 (~v155(constB112)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35579, 17212, 33736])).
% 39.93/26.38 tff(35581,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB112) | (~v154(constB112)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB112) | (~v154(constB112)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35582,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB112) | (~v154(constB112)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35583,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB112) | (~v154(constB112))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35582, 35581])).
% 39.93/26.38 tff(35584,plain,
% 39.93/26.38 (~v154(constB112)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35583, 17223, 35580])).
% 39.93/26.38 tff(35585,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB112) | v154(constB112) | (~v150(constB112)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB112) | v154(constB112) | (~v150(constB112)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35586,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB112) | v154(constB112) | (~v150(constB112)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35587,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB112) | v154(constB112) | (~v150(constB112))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35586, 35585])).
% 39.93/26.38 tff(35588,plain,
% 39.93/26.38 (v153(constB112) | (~v150(constB112))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35587, 17170, 35584])).
% 39.93/26.38 tff(35589,plain,
% 39.93/26.38 (~v150(constB112)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35588, 35576])).
% 39.93/26.38 tff(35590,plain,
% 39.93/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35591,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35592,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35591, 35590])).
% 39.93/26.38 tff(35593,plain,
% 39.93/26.38 (v150(constB112) | (~v152(constB113))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35592, 17185, 13358])).
% 39.93/26.38 tff(35594,plain,
% 39.93/26.38 (~v152(constB113)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35593, 35589])).
% 39.93/26.38 tff(35595,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB113) | (~v164(constB113)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB113) | (~v164(constB113)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35596,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB113) | (~v164(constB113)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35597,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB113) | (~v164(constB113))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35596, 35595])).
% 39.93/26.38 tff(35598,plain,
% 39.93/26.38 (~v164(constB113)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35597, 17247, 35594])).
% 39.93/26.38 tff(35599,plain,
% 39.93/26.38 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB113)) | (~v163(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB113)) | (~v163(constB113)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35600,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB113)) | (~v163(constB113)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35601,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB113)) | (~v163(constB113))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35600, 35599])).
% 39.93/26.38 tff(35602,plain,
% 39.93/26.38 (~v163(constB113)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35601, 17298, 32613])).
% 39.93/26.38 tff(35603,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB113)) | v163(constB113) | v164(constB113))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB113)) | v163(constB113) | v164(constB113))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35604,plain,
% 39.93/26.38 ((v164(constB113) | v163(constB113) | (~v160(constB113))) <=> ((~v160(constB113)) | v163(constB113) | v164(constB113))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35605,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB113) | v163(constB113) | (~v160(constB113)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB113)) | v163(constB113) | v164(constB113)))),
% 39.93/26.38 inference(monotonicity,[status(thm)],[35604])).
% 39.93/26.38 tff(35606,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB113) | v163(constB113) | (~v160(constB113)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB113)) | v163(constB113) | v164(constB113))),
% 39.93/26.38 inference(transitivity,[status(thm)],[35605, 35603])).
% 39.93/26.38 tff(35607,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB113) | v163(constB113) | (~v160(constB113)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35608,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB113)) | v163(constB113) | v164(constB113)),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35607, 35606])).
% 39.93/26.38 tff(35609,plain,
% 39.93/26.38 ((~v160(constB113)) | v164(constB113)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35608, 17312, 35602])).
% 39.93/26.38 tff(35610,plain,
% 39.93/26.38 (~v160(constB113)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35609, 35598])).
% 39.93/26.38 tff(35611,plain,
% 39.93/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35612,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35613,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35612, 35611])).
% 39.93/26.38 tff(35614,plain,
% 39.93/26.38 (v160(constB113) | (~v162(constB114))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35613, 17330, 13483])).
% 39.93/26.38 tff(35615,plain,
% 39.93/26.38 (~v162(constB114)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35614, 35610])).
% 39.93/26.38 tff(35616,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB114) | (~v163(constB114)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB114) | (~v163(constB114)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35617,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB114) | (~v163(constB114)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35618,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB114) | (~v163(constB114))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35617, 35616])).
% 39.93/26.38 tff(35619,plain,
% 39.93/26.38 (~v163(constB114)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35618, 17342, 35615])).
% 39.93/26.38 tff(35620,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB114) | (~v164(constB114)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB114) | (~v164(constB114)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35621,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB114) | (~v164(constB114)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35622,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB114) | (~v164(constB114))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35621, 35620])).
% 39.93/26.38 tff(35623,plain,
% 39.93/26.38 (~v164(constB114)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35622, 17361, 33780])).
% 39.93/26.38 tff(35624,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB114)) | v164(constB114) | v163(constB114))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB114)) | v164(constB114) | v163(constB114))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35625,plain,
% 39.93/26.38 ((v164(constB114) | v163(constB114) | (~v160(constB114))) <=> ((~v160(constB114)) | v164(constB114) | v163(constB114))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35626,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB114) | v163(constB114) | (~v160(constB114)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB114)) | v164(constB114) | v163(constB114)))),
% 39.93/26.38 inference(monotonicity,[status(thm)],[35625])).
% 39.93/26.38 tff(35627,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB114) | v163(constB114) | (~v160(constB114)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB114)) | v164(constB114) | v163(constB114))),
% 39.93/26.38 inference(transitivity,[status(thm)],[35626, 35624])).
% 39.93/26.38 tff(35628,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB114) | v163(constB114) | (~v160(constB114)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35629,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB114)) | v164(constB114) | v163(constB114)),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35628, 35627])).
% 39.93/26.38 tff(35630,plain,
% 39.93/26.38 ((~v160(constB114)) | v163(constB114)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35629, 17312, 35623])).
% 39.93/26.38 tff(35631,plain,
% 39.93/26.38 (~v160(constB114)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35630, 35619])).
% 39.93/26.38 tff(35632,plain,
% 39.93/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35633,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35634,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35633, 35632])).
% 39.93/26.38 tff(35635,plain,
% 39.93/26.38 (v160(constB114) | (~v162(constB115))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35634, 17330, 13549])).
% 39.93/26.38 tff(35636,plain,
% 39.93/26.38 (~v162(constB115)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35635, 35631])).
% 39.93/26.38 tff(35637,plain,
% 39.93/26.38 ($false),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35636, 35503])).
% 39.93/26.38 tff(35638,plain,(~(constB115 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.38 tff(35639,assumption,(constB182 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.38 tff(35640,plain,
% 39.93/26.38 (v1(constB182) <=> v1(sK0_VarCurr)),
% 39.93/26.38 inference(monotonicity,[status(thm)],[35639])).
% 39.93/26.38 tff(35641,plain,
% 39.93/26.38 (v1(sK0_VarCurr) <=> v1(constB182)),
% 39.93/26.38 inference(symmetry,[status(thm)],[35640])).
% 39.93/26.38 tff(35642,plain,
% 39.93/26.38 ((~v1(sK0_VarCurr)) <=> (~v1(constB182))),
% 39.93/26.38 inference(monotonicity,[status(thm)],[35641])).
% 39.93/26.38 tff(35643,plain,
% 39.93/26.38 (~v1(constB182)),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[23858, 35642])).
% 39.93/26.38 tff(35644,plain,
% 39.93/26.38 ($false),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[21591, 35643])).
% 39.93/26.38 tff(35645,plain,(~(constB182 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.38 tff(35646,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.38 tff(35647,plain,
% 39.93/26.38 (v162(constB75) <=> v162(sK0_VarCurr)),
% 39.93/26.38 inference(monotonicity,[status(thm)],[35646])).
% 39.93/26.38 tff(35648,plain,
% 39.93/26.38 (v162(sK0_VarCurr) <=> v162(constB75)),
% 39.93/26.38 inference(symmetry,[status(thm)],[35647])).
% 39.93/26.38 tff(35649,plain,
% 39.93/26.38 (v162(constB75)),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[17398, 35648])).
% 39.93/26.38 tff(35650,assumption,(v18(constB70)), introduced(assumption)).
% 39.93/26.38 tff(35651,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB70))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35652,plain,
% 39.93/26.38 ($false),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35651, 8, 35650])).
% 39.93/26.38 tff(35653,plain,(~v18(constB70)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.38 tff(35654,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35655,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35656,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35655, 35654])).
% 39.93/26.38 tff(35657,plain,
% 39.93/26.38 (v22(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35656, 21, 8423])).
% 39.93/26.38 tff(35658,plain,
% 39.93/26.38 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB70)) | (~v22(constB70)) | v18(constB70))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB70)) | (~v22(constB70)) | v18(constB70))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35659,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB70)) | (~v22(constB70)) | v18(constB70))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35660,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB70)) | (~v22(constB70)) | v18(constB70)),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35659, 35658])).
% 39.93/26.38 tff(35661,plain,
% 39.93/26.38 ((~v19(constB70)) | v18(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35660, 35, 35657])).
% 39.93/26.38 tff(35662,plain,
% 39.93/26.38 (~v19(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35661, 35653])).
% 39.93/26.38 tff(35663,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35664,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35665,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70)),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35664, 35663])).
% 39.93/26.38 tff(35666,plain,
% 39.93/26.38 (v13(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35665, 50, 35662])).
% 39.93/26.38 tff(35667,plain,
% 39.93/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB69, constB70)) | (~v13(constB70)) | v9(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB69, constB70)) | (~v13(constB70)) | v9(constB69))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35668,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB69, constB70)) | (~v13(constB70)) | v9(constB69))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35669,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB69, constB70)) | (~v13(constB70)) | v9(constB69)),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35668, 35667])).
% 39.93/26.38 tff(35670,plain,
% 39.93/26.38 ((~v13(constB70)) | v9(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35669, 67, 8403])).
% 39.93/26.38 tff(35671,plain,
% 39.93/26.38 (v9(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35670, 35666])).
% 39.93/26.38 tff(35672,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v141(constB69))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB69) | (~v9(constB69)) | v141(constB69))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35673,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v141(constB69))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35674,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB69) | (~v9(constB69)) | v141(constB69)),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35673, 35672])).
% 39.93/26.38 tff(35675,plain,
% 39.93/26.38 ((~v9(constB69)) | v141(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35674, 85, 8271])).
% 39.93/26.38 tff(35676,plain,
% 39.93/26.38 (v141(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35675, 35671])).
% 39.93/26.38 tff(35677,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB69) | (~v141(constB69)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB69) | (~v141(constB69)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35678,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB69) | (~v141(constB69)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35679,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB69) | (~v141(constB69))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35678, 35677])).
% 39.93/26.38 tff(35680,plain,
% 39.93/26.38 (v140(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35679, 97, 35676])).
% 39.93/26.38 tff(35681,plain,
% 39.93/26.38 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB69)) | (~v140(constB69)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB69)) | (~v140(constB69)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35682,plain,
% 39.93/26.38 (((~v140(constB69)) | (~v138(constB69))) <=> ((~v138(constB69)) | (~v140(constB69)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35683,plain,
% 39.93/26.38 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB69)) | (~v138(constB69)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB69)) | (~v140(constB69))))),
% 39.93/26.38 inference(monotonicity,[status(thm)],[35682])).
% 39.93/26.38 tff(35684,plain,
% 39.93/26.38 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB69)) | (~v138(constB69)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB69)) | (~v140(constB69)))),
% 39.93/26.38 inference(transitivity,[status(thm)],[35683, 35681])).
% 39.93/26.38 tff(35685,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB69)) | (~v138(constB69)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35686,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB69)) | (~v140(constB69))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35685, 35684])).
% 39.93/26.38 tff(35687,plain,
% 39.93/26.38 (~v138(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35686, 108, 35680])).
% 39.93/26.38 tff(35688,plain,
% 39.93/26.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v145(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB69, bitIndex1)) | (~v145(constB69)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35689,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v145(constB69)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35690,plain,
% 39.93/26.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB69, bitIndex1)) | (~v145(constB69))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35689, 35688])).
% 39.93/26.38 tff(35691,plain,
% 39.93/26.38 (~v145(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35690, 1116, 8326])).
% 39.93/26.38 tff(35692,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB69) | (~v144(constB69)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB69) | (~v144(constB69)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35693,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB69) | (~v144(constB69)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35694,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB69) | (~v144(constB69))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35693, 35692])).
% 39.93/26.38 tff(35695,plain,
% 39.93/26.38 (~v144(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35694, 17003, 35691])).
% 39.93/26.38 tff(35696,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB69) | (~v142(constB69)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB69) | (~v142(constB69)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35697,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB69) | (~v142(constB69)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35698,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB69) | (~v142(constB69))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35697, 35696])).
% 39.93/26.38 tff(35699,plain,
% 39.93/26.38 (~v142(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35698, 17014, 35695])).
% 39.93/26.38 tff(35700,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB69) | v142(constB69) | (~v135(constB69)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB69) | v142(constB69) | (~v135(constB69)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35701,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB69) | v142(constB69) | (~v135(constB69)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35702,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB69) | v142(constB69) | (~v135(constB69))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35701, 35700])).
% 39.93/26.38 tff(35703,plain,
% 39.93/26.38 (v138(constB69) | (~v135(constB69))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35702, 17028, 35699])).
% 39.93/26.38 tff(35704,plain,
% 39.93/26.38 (~v135(constB69)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35703, 35687])).
% 39.93/26.38 tff(35705,plain,
% 39.93/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35706,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35707,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35706, 35705])).
% 39.93/26.38 tff(35708,plain,
% 39.93/26.38 (v135(constB69) | (~v137(constB70))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35707, 17043, 8403])).
% 39.93/26.38 tff(35709,plain,
% 39.93/26.38 (~v137(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35708, 35704])).
% 39.93/26.38 tff(35710,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB70) | (~v138(constB70)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB70) | (~v138(constB70)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35711,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB70) | (~v138(constB70)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35712,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB70) | (~v138(constB70))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35711, 35710])).
% 39.93/26.38 tff(35713,plain,
% 39.93/26.38 (~v138(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35712, 17055, 35709])).
% 39.93/26.38 tff(35714,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB70) | (~v144(constB70)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB70) | (~v144(constB70)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35715,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB70) | (~v144(constB70)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35716,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB70) | (~v144(constB70))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35715, 35714])).
% 39.93/26.38 tff(35717,plain,
% 39.93/26.38 (~v144(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35716, 17077, 34143])).
% 39.93/26.38 tff(35718,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB70) | (~v142(constB70)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB70) | (~v142(constB70)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35719,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB70) | (~v142(constB70)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35720,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB70) | (~v142(constB70))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35719, 35718])).
% 39.93/26.38 tff(35721,plain,
% 39.93/26.38 (~v142(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35720, 17014, 35717])).
% 39.93/26.38 tff(35722,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB70) | v142(constB70) | (~v135(constB70)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB70) | v142(constB70) | (~v135(constB70)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35723,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB70) | v142(constB70) | (~v135(constB70)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35724,plain,
% 39.93/26.38 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB70) | v142(constB70) | (~v135(constB70))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35723, 35722])).
% 39.93/26.38 tff(35725,plain,
% 39.93/26.38 (v138(constB70) | (~v135(constB70))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35724, 17028, 35721])).
% 39.93/26.38 tff(35726,plain,
% 39.93/26.38 (~v135(constB70)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35725, 35713])).
% 39.93/26.38 tff(35727,plain,
% 39.93/26.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))),
% 39.93/26.38 inference(rewrite,[status(thm)],[])).
% 39.93/26.38 tff(35728,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))),
% 39.93/26.38 inference(quant_inst,[status(thm)],[])).
% 39.93/26.38 tff(35729,plain,
% 39.93/26.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71))),
% 39.93/26.38 inference(modus_ponens,[status(thm)],[35728, 35727])).
% 39.93/26.38 tff(35730,plain,
% 39.93/26.38 (v135(constB70) | (~v137(constB71))),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35729, 17043, 8465])).
% 39.93/26.38 tff(35731,plain,
% 39.93/26.38 (~v137(constB71)),
% 39.93/26.38 inference(unit_resolution,[status(thm)],[35730, 35726])).
% 39.93/26.38 tff(35732,plain,
% 39.93/26.38 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB71) | (~v154(constB71)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB71) | (~v154(constB71)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35733,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB71) | (~v154(constB71)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35734,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB71) | (~v154(constB71))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35733, 35732])).
% 39.93/26.39 tff(35735,plain,
% 39.93/26.39 (~v154(constB71)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35734, 17105, 35731])).
% 39.93/26.39 tff(35736,plain,
% 39.93/26.39 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB71)) | (~v153(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB71)) | (~v153(constB71)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35737,plain,
% 39.93/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB71)) | (~v153(constB71)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35738,plain,
% 39.93/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB71)) | (~v153(constB71))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35737, 35736])).
% 39.93/26.39 tff(35739,plain,
% 39.93/26.39 (~v153(constB71)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35738, 17156, 28701])).
% 39.93/26.39 tff(35740,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB71) | v154(constB71) | (~v150(constB71)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB71) | v154(constB71) | (~v150(constB71)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35741,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB71) | v154(constB71) | (~v150(constB71)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35742,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB71) | v154(constB71) | (~v150(constB71))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35741, 35740])).
% 39.93/26.39 tff(35743,plain,
% 39.93/26.39 (v154(constB71) | (~v150(constB71))),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35742, 17170, 35739])).
% 39.93/26.39 tff(35744,plain,
% 39.93/26.39 (~v150(constB71)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35743, 35735])).
% 39.93/26.39 tff(35745,plain,
% 39.93/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35746,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35747,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35746, 35745])).
% 39.93/26.39 tff(35748,plain,
% 39.93/26.39 (v150(constB71) | (~v152(constB72))),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35747, 17185, 8680])).
% 39.93/26.39 tff(35749,plain,
% 39.93/26.39 (~v152(constB72)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35748, 35744])).
% 39.93/26.39 tff(35750,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB72) | (~v153(constB72)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB72) | (~v153(constB72)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35751,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB72) | (~v153(constB72)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35752,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB72) | (~v153(constB72))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35751, 35750])).
% 39.93/26.39 tff(35753,plain,
% 39.93/26.39 (~v153(constB72)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35752, 17197, 35749])).
% 39.93/26.39 tff(35754,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB72) | (~v155(constB72)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB72) | (~v155(constB72)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35755,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB72) | (~v155(constB72)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35756,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB72) | (~v155(constB72))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35755, 35754])).
% 39.93/26.39 tff(35757,plain,
% 39.93/26.39 (~v155(constB72)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35756, 17212, 28726])).
% 39.93/26.39 tff(35758,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB72) | (~v154(constB72)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB72) | (~v154(constB72)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35759,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB72) | (~v154(constB72)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35760,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB72) | (~v154(constB72))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35759, 35758])).
% 39.93/26.39 tff(35761,plain,
% 39.93/26.39 (~v154(constB72)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35760, 17223, 35757])).
% 39.93/26.39 tff(35762,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB72) | v154(constB72) | (~v150(constB72)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB72) | v154(constB72) | (~v150(constB72)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35763,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB72) | v154(constB72) | (~v150(constB72)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35764,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB72) | v154(constB72) | (~v150(constB72))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35763, 35762])).
% 39.93/26.39 tff(35765,plain,
% 39.93/26.39 (v153(constB72) | (~v150(constB72))),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35764, 17170, 35761])).
% 39.93/26.39 tff(35766,plain,
% 39.93/26.39 (~v150(constB72)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35765, 35753])).
% 39.93/26.39 tff(35767,plain,
% 39.93/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35768,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35769,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35768, 35767])).
% 39.93/26.39 tff(35770,plain,
% 39.93/26.39 (v150(constB72) | (~v152(constB73))),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35769, 17185, 8742])).
% 39.93/26.39 tff(35771,plain,
% 39.93/26.39 (~v152(constB73)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35770, 35766])).
% 39.93/26.39 tff(35772,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB73) | (~v164(constB73)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB73) | (~v164(constB73)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35773,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB73) | (~v164(constB73)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35774,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB73) | (~v164(constB73))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35773, 35772])).
% 39.93/26.39 tff(35775,plain,
% 39.93/26.39 (~v164(constB73)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35774, 17247, 35771])).
% 39.93/26.39 tff(35776,plain,
% 39.93/26.39 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB73)) | (~v163(constB73)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB73)) | (~v163(constB73)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35777,plain,
% 39.93/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB73)) | (~v163(constB73)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35778,plain,
% 39.93/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB73)) | (~v163(constB73))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35777, 35776])).
% 39.93/26.39 tff(35779,plain,
% 39.93/26.39 (~v163(constB73)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35778, 17298, 27867])).
% 39.93/26.39 tff(35780,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB73)) | v163(constB73) | v164(constB73))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB73)) | v163(constB73) | v164(constB73))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35781,plain,
% 39.93/26.39 ((v164(constB73) | v163(constB73) | (~v160(constB73))) <=> ((~v160(constB73)) | v163(constB73) | v164(constB73))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35782,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB73) | v163(constB73) | (~v160(constB73)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB73)) | v163(constB73) | v164(constB73)))),
% 39.93/26.39 inference(monotonicity,[status(thm)],[35781])).
% 39.93/26.39 tff(35783,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB73) | v163(constB73) | (~v160(constB73)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB73)) | v163(constB73) | v164(constB73))),
% 39.93/26.39 inference(transitivity,[status(thm)],[35782, 35780])).
% 39.93/26.39 tff(35784,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB73) | v163(constB73) | (~v160(constB73)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35785,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB73)) | v163(constB73) | v164(constB73)),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35784, 35783])).
% 39.93/26.39 tff(35786,plain,
% 39.93/26.39 ((~v160(constB73)) | v164(constB73)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35785, 17312, 35779])).
% 39.93/26.39 tff(35787,plain,
% 39.93/26.39 (~v160(constB73)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35786, 35775])).
% 39.93/26.39 tff(35788,plain,
% 39.93/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35789,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35790,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35789, 35788])).
% 39.93/26.39 tff(35791,plain,
% 39.93/26.39 (v160(constB73) | (~v162(constB74))),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35790, 17330, 8866])).
% 39.93/26.39 tff(35792,plain,
% 39.93/26.39 (~v162(constB74)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35791, 35787])).
% 39.93/26.39 tff(35793,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB74) | (~v163(constB74)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB74) | (~v163(constB74)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35794,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB74) | (~v163(constB74)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35795,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB74) | (~v163(constB74))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35794, 35793])).
% 39.93/26.39 tff(35796,plain,
% 39.93/26.39 (~v163(constB74)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35795, 17342, 35792])).
% 39.93/26.39 tff(35797,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB74) | (~v164(constB74)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB74) | (~v164(constB74)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35798,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB74) | (~v164(constB74)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35799,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB74) | (~v164(constB74))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35798, 35797])).
% 39.93/26.39 tff(35800,plain,
% 39.93/26.39 (~v164(constB74)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35799, 17361, 28770])).
% 39.93/26.39 tff(35801,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB74)) | v164(constB74) | v163(constB74))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB74)) | v164(constB74) | v163(constB74))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35802,plain,
% 39.93/26.39 ((v164(constB74) | v163(constB74) | (~v160(constB74))) <=> ((~v160(constB74)) | v164(constB74) | v163(constB74))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35803,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB74) | v163(constB74) | (~v160(constB74)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB74)) | v164(constB74) | v163(constB74)))),
% 39.93/26.39 inference(monotonicity,[status(thm)],[35802])).
% 39.93/26.39 tff(35804,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB74) | v163(constB74) | (~v160(constB74)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB74)) | v164(constB74) | v163(constB74))),
% 39.93/26.39 inference(transitivity,[status(thm)],[35803, 35801])).
% 39.93/26.39 tff(35805,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB74) | v163(constB74) | (~v160(constB74)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35806,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB74)) | v164(constB74) | v163(constB74)),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35805, 35804])).
% 39.93/26.39 tff(35807,plain,
% 39.93/26.39 ((~v160(constB74)) | v163(constB74)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35806, 17312, 35800])).
% 39.93/26.39 tff(35808,plain,
% 39.93/26.39 (~v160(constB74)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35807, 35796])).
% 39.93/26.39 tff(35809,plain,
% 39.93/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35810,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35811,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35810, 35809])).
% 39.93/26.39 tff(35812,plain,
% 39.93/26.39 (v160(constB74) | (~v162(constB75))),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35811, 17330, 8928])).
% 39.93/26.39 tff(35813,plain,
% 39.93/26.39 (~v162(constB75)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35812, 35808])).
% 39.93/26.39 tff(35814,plain,
% 39.93/26.39 ($false),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35813, 35649])).
% 39.93/26.39 tff(35815,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.39 tff(35816,assumption,(constB188 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.39 tff(35817,plain,
% 39.93/26.39 (v1(constB188) <=> v1(sK0_VarCurr)),
% 39.93/26.39 inference(monotonicity,[status(thm)],[35816])).
% 39.93/26.39 tff(35818,plain,
% 39.93/26.39 (v1(sK0_VarCurr) <=> v1(constB188)),
% 39.93/26.39 inference(symmetry,[status(thm)],[35817])).
% 39.93/26.39 tff(35819,plain,
% 39.93/26.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB188))),
% 39.93/26.39 inference(monotonicity,[status(thm)],[35818])).
% 39.93/26.39 tff(35820,plain,
% 39.93/26.39 (~v1(constB188)),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[23858, 35819])).
% 39.93/26.39 tff(35821,plain,
% 39.93/26.39 ($false),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[22183, 35820])).
% 39.93/26.39 tff(35822,plain,(~(constB188 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.39 tff(35823,assumption,(constB196 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.39 tff(35824,plain,
% 39.93/26.39 (v1(constB196) <=> v1(sK0_VarCurr)),
% 39.93/26.39 inference(monotonicity,[status(thm)],[35823])).
% 39.93/26.39 tff(35825,plain,
% 39.93/26.39 (v1(sK0_VarCurr) <=> v1(constB196)),
% 39.93/26.39 inference(symmetry,[status(thm)],[35824])).
% 39.93/26.39 tff(35826,plain,
% 39.93/26.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB196))),
% 39.93/26.39 inference(monotonicity,[status(thm)],[35825])).
% 39.93/26.39 tff(35827,plain,
% 39.93/26.39 (~v1(constB196)),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[23858, 35826])).
% 39.93/26.39 tff(35828,plain,
% 39.93/26.39 ($false),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[29496, 35827])).
% 39.93/26.39 tff(35829,plain,(~(constB196 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 39.93/26.39 tff(35830,assumption,(constB121 = sK0_VarCurr), introduced(assumption)).
% 39.93/26.39 tff(35831,plain,
% 39.93/26.39 (v162(constB121) <=> v162(sK0_VarCurr)),
% 39.93/26.39 inference(monotonicity,[status(thm)],[35830])).
% 39.93/26.39 tff(35832,plain,
% 39.93/26.39 (v162(sK0_VarCurr) <=> v162(constB121)),
% 39.93/26.39 inference(symmetry,[status(thm)],[35831])).
% 39.93/26.39 tff(35833,plain,
% 39.93/26.39 (v162(constB121)),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[17398, 35832])).
% 39.93/26.39 tff(35834,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB115) | (~v144(constB115)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB115) | (~v144(constB115)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35835,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB115) | (~v144(constB115)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35836,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB115) | (~v144(constB115))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35835, 35834])).
% 39.93/26.39 tff(35837,plain,
% 39.93/26.39 (~v144(constB115)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35836, 17003, 13720])).
% 39.93/26.39 tff(35838,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB115) | (~v142(constB115)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB115) | (~v142(constB115)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35839,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB115) | (~v142(constB115)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35840,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB115) | (~v142(constB115))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35839, 35838])).
% 39.93/26.39 tff(35841,plain,
% 39.93/26.39 (~v142(constB115)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35840, 17014, 35837])).
% 39.93/26.39 tff(35842,plain,
% 39.93/26.39 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB115)) | (~v140(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB115)) | (~v140(constB115)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35843,plain,
% 39.93/26.39 (((~v140(constB115)) | (~v138(constB115))) <=> ((~v138(constB115)) | (~v140(constB115)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35844,plain,
% 39.93/26.39 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB115)) | (~v138(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB115)) | (~v140(constB115))))),
% 39.93/26.39 inference(monotonicity,[status(thm)],[35843])).
% 39.93/26.39 tff(35845,plain,
% 39.93/26.39 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB115)) | (~v138(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB115)) | (~v140(constB115)))),
% 39.93/26.39 inference(transitivity,[status(thm)],[35844, 35842])).
% 39.93/26.39 tff(35846,plain,
% 39.93/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB115)) | (~v138(constB115)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35847,plain,
% 39.93/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB115)) | (~v140(constB115))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35846, 35845])).
% 39.93/26.39 tff(35848,plain,
% 39.93/26.39 (~v138(constB115)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35847, 108, 32691])).
% 39.93/26.39 tff(35849,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB115) | v142(constB115) | (~v135(constB115)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB115) | v142(constB115) | (~v135(constB115)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35850,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB115) | v142(constB115) | (~v135(constB115)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35851,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB115) | v142(constB115) | (~v135(constB115))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35850, 35849])).
% 39.93/26.39 tff(35852,plain,
% 39.93/26.39 (v142(constB115) | (~v135(constB115))),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35851, 17028, 35848])).
% 39.93/26.39 tff(35853,plain,
% 39.93/26.39 (~v135(constB115)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35852, 35841])).
% 39.93/26.39 tff(35854,plain,
% 39.93/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35855,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35856,plain,
% 39.93/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35855, 35854])).
% 39.93/26.39 tff(35857,plain,
% 39.93/26.39 (v135(constB115) | (~v137(constB116))),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35856, 17043, 13662])).
% 39.93/26.39 tff(35858,plain,
% 39.93/26.39 (~v137(constB116)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35857, 35853])).
% 39.93/26.39 tff(35859,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB116) | (~v138(constB116)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB116) | (~v138(constB116)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35860,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB116) | (~v138(constB116)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35861,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB116) | (~v138(constB116))),
% 39.93/26.39 inference(modus_ponens,[status(thm)],[35860, 35859])).
% 39.93/26.39 tff(35862,plain,
% 39.93/26.39 (~v138(constB116)),
% 39.93/26.39 inference(unit_resolution,[status(thm)],[35861, 17055, 35858])).
% 39.93/26.39 tff(35863,plain,
% 39.93/26.39 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB116) | (~v144(constB116)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB116) | (~v144(constB116)))),
% 39.93/26.39 inference(rewrite,[status(thm)],[])).
% 39.93/26.39 tff(35864,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB116) | (~v144(constB116)))),
% 39.93/26.39 inference(quant_inst,[status(thm)],[])).
% 39.93/26.39 tff(35865,plain,
% 39.93/26.39 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB116) | (~v144(constB116))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35864, 35863])).
% 40.00/26.39 tff(35866,plain,
% 40.00/26.39 (~v144(constB116)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35865, 17077, 32713])).
% 40.00/26.39 tff(35867,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB116) | (~v142(constB116)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB116) | (~v142(constB116)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35868,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB116) | (~v142(constB116)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35869,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB116) | (~v142(constB116))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35868, 35867])).
% 40.00/26.39 tff(35870,plain,
% 40.00/26.39 (~v142(constB116)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35869, 17014, 35866])).
% 40.00/26.39 tff(35871,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB116) | v142(constB116) | (~v135(constB116)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB116) | v142(constB116) | (~v135(constB116)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35872,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB116) | v142(constB116) | (~v135(constB116)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35873,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB116) | v142(constB116) | (~v135(constB116))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35872, 35871])).
% 40.00/26.39 tff(35874,plain,
% 40.00/26.39 (v138(constB116) | (~v135(constB116))),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35873, 17028, 35870])).
% 40.00/26.39 tff(35875,plain,
% 40.00/26.39 (~v135(constB116)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35874, 35862])).
% 40.00/26.39 tff(35876,plain,
% 40.00/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35877,plain,
% 40.00/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35878,plain,
% 40.00/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35877, 35876])).
% 40.00/26.39 tff(35879,plain,
% 40.00/26.39 (v135(constB116) | (~v137(constB117))),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35878, 17043, 13754])).
% 40.00/26.39 tff(35880,plain,
% 40.00/26.39 (~v137(constB117)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35879, 35875])).
% 40.00/26.39 tff(35881,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB117) | (~v154(constB117)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB117) | (~v154(constB117)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35882,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB117) | (~v154(constB117)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35883,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB117) | (~v154(constB117))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35882, 35881])).
% 40.00/26.39 tff(35884,plain,
% 40.00/26.39 (~v154(constB117)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35883, 17105, 35880])).
% 40.00/26.39 tff(35885,plain,
% 40.00/26.39 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB117)) | (~v153(constB117)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB117)) | (~v153(constB117)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35886,plain,
% 40.00/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB117)) | (~v153(constB117)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35887,plain,
% 40.00/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB117)) | (~v153(constB117))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35886, 35885])).
% 40.00/26.39 tff(35888,plain,
% 40.00/26.39 (~v153(constB117)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35887, 17156, 32766])).
% 40.00/26.39 tff(35889,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB117) | v154(constB117) | (~v150(constB117)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB117) | v154(constB117) | (~v150(constB117)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35890,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB117) | v154(constB117) | (~v150(constB117)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35891,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB117) | v154(constB117) | (~v150(constB117))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35890, 35889])).
% 40.00/26.39 tff(35892,plain,
% 40.00/26.39 (v154(constB117) | (~v150(constB117))),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35891, 17170, 35888])).
% 40.00/26.39 tff(35893,plain,
% 40.00/26.39 (~v150(constB117)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35892, 35884])).
% 40.00/26.39 tff(35894,plain,
% 40.00/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35895,plain,
% 40.00/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35896,plain,
% 40.00/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35895, 35894])).
% 40.00/26.39 tff(35897,plain,
% 40.00/26.39 (v150(constB117) | (~v152(constB118))),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35896, 17185, 13893])).
% 40.00/26.39 tff(35898,plain,
% 40.00/26.39 (~v152(constB118)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35897, 35893])).
% 40.00/26.39 tff(35899,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB118) | (~v153(constB118)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB118) | (~v153(constB118)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35900,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB118) | (~v153(constB118)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35901,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB118) | (~v153(constB118))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35900, 35899])).
% 40.00/26.39 tff(35902,plain,
% 40.00/26.39 (~v153(constB118)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35901, 17197, 35898])).
% 40.00/26.39 tff(35903,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB118) | (~v154(constB118)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB118) | (~v154(constB118)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35904,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB118) | (~v154(constB118)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35905,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB118) | (~v154(constB118))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35904, 35903])).
% 40.00/26.39 tff(35906,plain,
% 40.00/26.39 (~v154(constB118)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35905, 17223, 32795])).
% 40.00/26.39 tff(35907,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB118) | v154(constB118) | (~v150(constB118)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB118) | v154(constB118) | (~v150(constB118)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35908,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB118) | v154(constB118) | (~v150(constB118)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35909,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB118) | v154(constB118) | (~v150(constB118))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35908, 35907])).
% 40.00/26.39 tff(35910,plain,
% 40.00/26.39 (v153(constB118) | (~v150(constB118))),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35909, 17170, 35906])).
% 40.00/26.39 tff(35911,plain,
% 40.00/26.39 (~v150(constB118)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35910, 35902])).
% 40.00/26.39 tff(35912,plain,
% 40.00/26.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35913,plain,
% 40.00/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35914,plain,
% 40.00/26.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35913, 35912])).
% 40.00/26.39 tff(35915,plain,
% 40.00/26.39 (v150(constB118) | (~v152(constB119))),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35914, 17185, 13958])).
% 40.00/26.39 tff(35916,plain,
% 40.00/26.39 (~v152(constB119)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35915, 35911])).
% 40.00/26.39 tff(35917,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB119) | (~v164(constB119)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB119) | (~v164(constB119)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35918,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB119) | (~v164(constB119)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35919,plain,
% 40.00/26.39 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB119) | (~v164(constB119))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35918, 35917])).
% 40.00/26.39 tff(35920,plain,
% 40.00/26.39 (~v164(constB119)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35919, 17247, 35916])).
% 40.00/26.39 tff(35921,plain,
% 40.00/26.39 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB119)) | (~v163(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB119)) | (~v163(constB119)))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35922,plain,
% 40.00/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB119)) | (~v163(constB119)))),
% 40.00/26.39 inference(quant_inst,[status(thm)],[])).
% 40.00/26.39 tff(35923,plain,
% 40.00/26.39 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB119)) | (~v163(constB119))),
% 40.00/26.39 inference(modus_ponens,[status(thm)],[35922, 35921])).
% 40.00/26.39 tff(35924,plain,
% 40.00/26.39 (~v163(constB119)),
% 40.00/26.39 inference(unit_resolution,[status(thm)],[35923, 17298, 23939])).
% 40.00/26.39 tff(35925,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB119)) | v163(constB119) | v164(constB119))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB119)) | v163(constB119) | v164(constB119))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35926,plain,
% 40.00/26.39 ((v164(constB119) | v163(constB119) | (~v160(constB119))) <=> ((~v160(constB119)) | v163(constB119) | v164(constB119))),
% 40.00/26.39 inference(rewrite,[status(thm)],[])).
% 40.00/26.39 tff(35927,plain,
% 40.00/26.39 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB119) | v163(constB119) | (~v160(constB119)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB119)) | v163(constB119) | v164(constB119)))),
% 40.00/26.40 inference(monotonicity,[status(thm)],[35926])).
% 40.00/26.40 tff(35928,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB119) | v163(constB119) | (~v160(constB119)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB119)) | v163(constB119) | v164(constB119))),
% 40.00/26.40 inference(transitivity,[status(thm)],[35927, 35925])).
% 40.00/26.40 tff(35929,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB119) | v163(constB119) | (~v160(constB119)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35930,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB119)) | v163(constB119) | v164(constB119)),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35929, 35928])).
% 40.00/26.40 tff(35931,plain,
% 40.00/26.40 ((~v160(constB119)) | v164(constB119)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35930, 17312, 35924])).
% 40.00/26.40 tff(35932,plain,
% 40.00/26.40 (~v160(constB119)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35931, 35920])).
% 40.00/26.40 tff(35933,plain,
% 40.00/26.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35934,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35935,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35934, 35933])).
% 40.00/26.40 tff(35936,plain,
% 40.00/26.40 (v160(constB119) | (~v162(constB120))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35935, 17330, 14087])).
% 40.00/26.40 tff(35937,plain,
% 40.00/26.40 (~v162(constB120)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35936, 35932])).
% 40.00/26.40 tff(35938,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB120) | (~v163(constB120)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB120) | (~v163(constB120)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35939,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB120) | (~v163(constB120)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35940,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB120) | (~v163(constB120))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35939, 35938])).
% 40.00/26.40 tff(35941,plain,
% 40.00/26.40 (~v163(constB120)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35940, 17342, 35937])).
% 40.00/26.40 tff(35942,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB120) | (~v155(constB120)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB120) | (~v155(constB120)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35943,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB120) | (~v155(constB120)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35944,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB120) | (~v155(constB120))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35943, 35942])).
% 40.00/26.40 tff(35945,plain,
% 40.00/26.40 (~v155(constB120)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35944, 17212, 23964])).
% 40.00/26.40 tff(35946,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB120) | (~v164(constB120)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB120) | (~v164(constB120)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35947,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB120) | (~v164(constB120)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35948,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB120) | (~v164(constB120))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35947, 35946])).
% 40.00/26.40 tff(35949,plain,
% 40.00/26.40 (~v164(constB120)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35948, 17361, 35945])).
% 40.00/26.40 tff(35950,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB120)) | v164(constB120) | v163(constB120))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB120)) | v164(constB120) | v163(constB120))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35951,plain,
% 40.00/26.40 ((v164(constB120) | v163(constB120) | (~v160(constB120))) <=> ((~v160(constB120)) | v164(constB120) | v163(constB120))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35952,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB120) | v163(constB120) | (~v160(constB120)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB120)) | v164(constB120) | v163(constB120)))),
% 40.00/26.40 inference(monotonicity,[status(thm)],[35951])).
% 40.00/26.40 tff(35953,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB120) | v163(constB120) | (~v160(constB120)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB120)) | v164(constB120) | v163(constB120))),
% 40.00/26.40 inference(transitivity,[status(thm)],[35952, 35950])).
% 40.00/26.40 tff(35954,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB120) | v163(constB120) | (~v160(constB120)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35955,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB120)) | v164(constB120) | v163(constB120)),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35954, 35953])).
% 40.00/26.40 tff(35956,plain,
% 40.00/26.40 ((~v160(constB120)) | v163(constB120)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35955, 17312, 35949])).
% 40.00/26.40 tff(35957,plain,
% 40.00/26.40 (~v160(constB120)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35956, 35941])).
% 40.00/26.40 tff(35958,plain,
% 40.00/26.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35959,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35960,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35959, 35958])).
% 40.00/26.40 tff(35961,plain,
% 40.00/26.40 (v160(constB120) | (~v162(constB121))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35960, 17330, 14152])).
% 40.00/26.40 tff(35962,plain,
% 40.00/26.40 (~v162(constB121)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35961, 35957])).
% 40.00/26.40 tff(35963,plain,
% 40.00/26.40 ($false),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35962, 35833])).
% 40.00/26.40 tff(35964,plain,(~(constB121 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.40 tff(35965,assumption,(constB57 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.40 tff(35966,plain,
% 40.00/26.40 (v162(constB57) <=> v162(sK0_VarCurr)),
% 40.00/26.40 inference(monotonicity,[status(thm)],[35965])).
% 40.00/26.40 tff(35967,plain,
% 40.00/26.40 (v162(sK0_VarCurr) <=> v162(constB57)),
% 40.00/26.40 inference(symmetry,[status(thm)],[35966])).
% 40.00/26.40 tff(35968,plain,
% 40.00/26.40 (v162(constB57)),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[17398, 35967])).
% 40.00/26.40 tff(35969,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB55) | (~v164(constB55)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB55) | (~v164(constB55)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35970,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB55) | (~v164(constB55)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35971,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB55) | (~v164(constB55))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35970, 35969])).
% 40.00/26.40 tff(35972,plain,
% 40.00/26.40 (~v164(constB55)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35971, 17247, 30653])).
% 40.00/26.40 tff(35973,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB55) | (~v163(constB55)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB55) | (~v163(constB55)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35974,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB55) | (~v163(constB55)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35975,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB55) | (~v163(constB55))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35974, 35973])).
% 40.00/26.40 tff(35976,plain,
% 40.00/26.40 (~v163(constB55)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35975, 17342, 23705])).
% 40.00/26.40 tff(35977,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB55)) | v164(constB55) | v163(constB55))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB55)) | v164(constB55) | v163(constB55))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35978,plain,
% 40.00/26.40 ((v164(constB55) | v163(constB55) | (~v160(constB55))) <=> ((~v160(constB55)) | v164(constB55) | v163(constB55))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35979,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB55) | v163(constB55) | (~v160(constB55)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB55)) | v164(constB55) | v163(constB55)))),
% 40.00/26.40 inference(monotonicity,[status(thm)],[35978])).
% 40.00/26.40 tff(35980,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB55) | v163(constB55) | (~v160(constB55)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB55)) | v164(constB55) | v163(constB55))),
% 40.00/26.40 inference(transitivity,[status(thm)],[35979, 35977])).
% 40.00/26.40 tff(35981,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB55) | v163(constB55) | (~v160(constB55)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35982,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB55)) | v164(constB55) | v163(constB55)),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35981, 35980])).
% 40.00/26.40 tff(35983,plain,
% 40.00/26.40 ((~v160(constB55)) | v164(constB55)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35982, 17312, 35976])).
% 40.00/26.40 tff(35984,plain,
% 40.00/26.40 (~v160(constB55)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35983, 35972])).
% 40.00/26.40 tff(35985,plain,
% 40.00/26.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB55, constB56)) | v160(constB55) | (~v162(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB55, constB56)) | v160(constB55) | (~v162(constB56)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35986,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB55, constB56)) | v160(constB55) | (~v162(constB56)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35987,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB55, constB56)) | v160(constB55) | (~v162(constB56))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35986, 35985])).
% 40.00/26.40 tff(35988,plain,
% 40.00/26.40 (v160(constB55) | (~v162(constB56))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35987, 17330, 6727])).
% 40.00/26.40 tff(35989,plain,
% 40.00/26.40 (~v162(constB56)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35988, 35984])).
% 40.00/26.40 tff(35990,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB56) | (~v163(constB56)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB56) | (~v163(constB56)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35991,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB56) | (~v163(constB56)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35992,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB56) | (~v163(constB56))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35991, 35990])).
% 40.00/26.40 tff(35993,plain,
% 40.00/26.40 (~v163(constB56)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35992, 17342, 35989])).
% 40.00/26.40 tff(35994,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB56) | (~v164(constB56)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB56) | (~v164(constB56)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35995,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB56) | (~v164(constB56)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(35996,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB56) | (~v164(constB56))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[35995, 35994])).
% 40.00/26.40 tff(35997,plain,
% 40.00/26.40 (~v164(constB56)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[35996, 17361, 30675])).
% 40.00/26.40 tff(35998,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB56)) | v164(constB56) | v163(constB56))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB56)) | v164(constB56) | v163(constB56))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(35999,plain,
% 40.00/26.40 ((v164(constB56) | v163(constB56) | (~v160(constB56))) <=> ((~v160(constB56)) | v164(constB56) | v163(constB56))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36000,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB56) | v163(constB56) | (~v160(constB56)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB56)) | v164(constB56) | v163(constB56)))),
% 40.00/26.40 inference(monotonicity,[status(thm)],[35999])).
% 40.00/26.40 tff(36001,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB56) | v163(constB56) | (~v160(constB56)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB56)) | v164(constB56) | v163(constB56))),
% 40.00/26.40 inference(transitivity,[status(thm)],[36000, 35998])).
% 40.00/26.40 tff(36002,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB56) | v163(constB56) | (~v160(constB56)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36003,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB56)) | v164(constB56) | v163(constB56)),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36002, 36001])).
% 40.00/26.40 tff(36004,plain,
% 40.00/26.40 ((~v160(constB56)) | v163(constB56)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36003, 17312, 35997])).
% 40.00/26.40 tff(36005,plain,
% 40.00/26.40 (~v160(constB56)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36004, 35993])).
% 40.00/26.40 tff(36006,plain,
% 40.00/26.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB56, constB57)) | v160(constB56) | (~v162(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB56, constB57)) | v160(constB56) | (~v162(constB57)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36007,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB56, constB57)) | v160(constB56) | (~v162(constB57)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36008,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB56, constB57)) | v160(constB56) | (~v162(constB57))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36007, 36006])).
% 40.00/26.40 tff(36009,plain,
% 40.00/26.40 (v160(constB56) | (~v162(constB57))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36008, 17330, 6938])).
% 40.00/26.40 tff(36010,plain,
% 40.00/26.40 (~v162(constB57)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36009, 36005])).
% 40.00/26.40 tff(36011,plain,
% 40.00/26.40 ($false),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36010, 35968])).
% 40.00/26.40 tff(36012,plain,(~(constB57 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.40 tff(36013,assumption,(constB108 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.40 tff(36014,plain,
% 40.00/26.40 (v1(constB108) <=> v1(sK0_VarCurr)),
% 40.00/26.40 inference(monotonicity,[status(thm)],[36013])).
% 40.00/26.40 tff(36015,plain,
% 40.00/26.40 (v1(sK0_VarCurr) <=> v1(constB108)),
% 40.00/26.40 inference(symmetry,[status(thm)],[36014])).
% 40.00/26.40 tff(36016,plain,
% 40.00/26.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB108))),
% 40.00/26.40 inference(monotonicity,[status(thm)],[36015])).
% 40.00/26.40 tff(36017,plain,
% 40.00/26.40 (~v1(constB108)),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[23858, 36016])).
% 40.00/26.40 tff(36018,plain,
% 40.00/26.40 ($false),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[12884, 36017])).
% 40.00/26.40 tff(36019,plain,(~(constB108 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.40 tff(36020,assumption,(constB184 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.40 tff(36021,plain,
% 40.00/26.40 (v1(constB184) <=> v1(sK0_VarCurr)),
% 40.00/26.40 inference(monotonicity,[status(thm)],[36020])).
% 40.00/26.40 tff(36022,plain,
% 40.00/26.40 (v1(sK0_VarCurr) <=> v1(constB184)),
% 40.00/26.40 inference(symmetry,[status(thm)],[36021])).
% 40.00/26.40 tff(36023,plain,
% 40.00/26.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB184))),
% 40.00/26.40 inference(monotonicity,[status(thm)],[36022])).
% 40.00/26.40 tff(36024,plain,
% 40.00/26.40 (~v1(constB184)),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[23858, 36023])).
% 40.00/26.40 tff(36025,plain,
% 40.00/26.40 ($false),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[21773, 36024])).
% 40.00/26.40 tff(36026,plain,(~(constB184 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.40 tff(36027,assumption,(constB19 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.40 tff(36028,plain,
% 40.00/26.40 (v162(constB19) <=> v162(sK0_VarCurr)),
% 40.00/26.40 inference(monotonicity,[status(thm)],[36027])).
% 40.00/26.40 tff(36029,plain,
% 40.00/26.40 (v162(sK0_VarCurr) <=> v162(constB19)),
% 40.00/26.40 inference(symmetry,[status(thm)],[36028])).
% 40.00/26.40 tff(36030,plain,
% 40.00/26.40 (v162(constB19)),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[17398, 36029])).
% 40.00/26.40 tff(36031,plain,
% 40.00/26.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB13, bitIndex2)) | (~v145(constB13)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB13, bitIndex2)) | (~v145(constB13)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36032,plain,
% 40.00/26.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB13, bitIndex2)) | (~v145(constB13)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36033,plain,
% 40.00/26.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB13, bitIndex2)) | (~v145(constB13))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36032, 36031])).
% 40.00/26.40 tff(36034,plain,
% 40.00/26.40 (~v145(constB13)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36033, 5709, 1967])).
% 40.00/26.40 tff(36035,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB13) | (~v144(constB13)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB13) | (~v144(constB13)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36036,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB13) | (~v144(constB13)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36037,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB13) | (~v144(constB13))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36036, 36035])).
% 40.00/26.40 tff(36038,plain,
% 40.00/26.40 (~v144(constB13)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36037, 17003, 36034])).
% 40.00/26.40 tff(36039,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB13) | (~v142(constB13)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36040,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB13) | (~v142(constB13)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36041,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB13) | (~v142(constB13))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36040, 36039])).
% 40.00/26.40 tff(36042,plain,
% 40.00/26.40 (~v142(constB13)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36041, 17014, 36038])).
% 40.00/26.40 tff(36043,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB13) | (~v138(constB13)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB13) | (~v138(constB13)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36044,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB13) | (~v138(constB13)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36045,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB13) | (~v138(constB13))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36044, 36043])).
% 40.00/26.40 tff(36046,plain,
% 40.00/26.40 (~v138(constB13)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36045, 17055, 25655])).
% 40.00/26.40 tff(36047,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB13) | v142(constB13) | (~v135(constB13)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB13) | v142(constB13) | (~v135(constB13)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36048,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB13) | v142(constB13) | (~v135(constB13)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36049,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB13) | v142(constB13) | (~v135(constB13))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36048, 36047])).
% 40.00/26.40 tff(36050,plain,
% 40.00/26.40 (v142(constB13) | (~v135(constB13))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36049, 17028, 36046])).
% 40.00/26.40 tff(36051,plain,
% 40.00/26.40 (~v135(constB13)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36050, 36042])).
% 40.00/26.40 tff(36052,plain,
% 40.00/26.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36053,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36054,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36053, 36052])).
% 40.00/26.40 tff(36055,plain,
% 40.00/26.40 (v135(constB13) | (~v137(constB14))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36054, 17043, 2086])).
% 40.00/26.40 tff(36056,plain,
% 40.00/26.40 (~v137(constB14)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36055, 36051])).
% 40.00/26.40 tff(36057,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB14) | (~v138(constB14)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB14) | (~v138(constB14)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36058,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB14) | (~v138(constB14)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36059,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB14) | (~v138(constB14))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36058, 36057])).
% 40.00/26.40 tff(36060,plain,
% 40.00/26.40 (~v138(constB14)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36059, 17055, 36056])).
% 40.00/26.40 tff(36061,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB14) | (~v144(constB14)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB14) | (~v144(constB14)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36062,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB14) | (~v144(constB14)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36063,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB14) | (~v144(constB14))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36062, 36061])).
% 40.00/26.40 tff(36064,plain,
% 40.00/26.40 (~v144(constB14)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36063, 17077, 25677])).
% 40.00/26.40 tff(36065,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB14) | (~v142(constB14)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB14) | (~v142(constB14)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36066,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB14) | (~v142(constB14)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36067,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB14) | (~v142(constB14))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36066, 36065])).
% 40.00/26.40 tff(36068,plain,
% 40.00/26.40 (~v142(constB14)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36067, 17014, 36064])).
% 40.00/26.40 tff(36069,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB14) | v142(constB14) | (~v135(constB14)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB14) | v142(constB14) | (~v135(constB14)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36070,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB14) | v142(constB14) | (~v135(constB14)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36071,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB14) | v142(constB14) | (~v135(constB14))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36070, 36069])).
% 40.00/26.40 tff(36072,plain,
% 40.00/26.40 (v138(constB14) | (~v135(constB14))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36071, 17028, 36068])).
% 40.00/26.40 tff(36073,plain,
% 40.00/26.40 (~v135(constB14)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36072, 36060])).
% 40.00/26.40 tff(36074,plain,
% 40.00/26.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36075,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36076,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36075, 36074])).
% 40.00/26.40 tff(36077,plain,
% 40.00/26.40 (v135(constB14) | (~v137(constB15))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36076, 17043, 2148])).
% 40.00/26.40 tff(36078,plain,
% 40.00/26.40 (~v137(constB15)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36077, 36073])).
% 40.00/26.40 tff(36079,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB15) | (~v154(constB15)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB15) | (~v154(constB15)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36080,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB15) | (~v154(constB15)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36081,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB15) | (~v154(constB15))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36080, 36079])).
% 40.00/26.40 tff(36082,plain,
% 40.00/26.40 (~v154(constB15)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36081, 17105, 36078])).
% 40.00/26.40 tff(36083,plain,
% 40.00/26.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB15)) | (~v153(constB15)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB15)) | (~v153(constB15)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36084,plain,
% 40.00/26.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB15)) | (~v153(constB15)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36085,plain,
% 40.00/26.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB15)) | (~v153(constB15))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36084, 36083])).
% 40.00/26.40 tff(36086,plain,
% 40.00/26.40 (~v153(constB15)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36085, 17156, 25730])).
% 40.00/26.40 tff(36087,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB15) | v154(constB15) | (~v150(constB15)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB15) | v154(constB15) | (~v150(constB15)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36088,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB15) | v154(constB15) | (~v150(constB15)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36089,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB15) | v154(constB15) | (~v150(constB15))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36088, 36087])).
% 40.00/26.40 tff(36090,plain,
% 40.00/26.40 (v154(constB15) | (~v150(constB15))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36089, 17170, 36086])).
% 40.00/26.40 tff(36091,plain,
% 40.00/26.40 (~v150(constB15)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36090, 36082])).
% 40.00/26.40 tff(36092,plain,
% 40.00/26.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36093,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36094,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36093, 36092])).
% 40.00/26.40 tff(36095,plain,
% 40.00/26.40 (v150(constB15) | (~v152(constB16))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36094, 17185, 2282])).
% 40.00/26.40 tff(36096,plain,
% 40.00/26.40 (~v152(constB16)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36095, 36091])).
% 40.00/26.40 tff(36097,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB16) | (~v153(constB16)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB16) | (~v153(constB16)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36098,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB16) | (~v153(constB16)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36099,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB16) | (~v153(constB16))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36098, 36097])).
% 40.00/26.40 tff(36100,plain,
% 40.00/26.40 (~v153(constB16)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36099, 17197, 36096])).
% 40.00/26.40 tff(36101,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB16) | (~v154(constB16)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB16) | (~v154(constB16)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36102,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB16) | (~v154(constB16)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36103,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB16) | (~v154(constB16))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36102, 36101])).
% 40.00/26.40 tff(36104,plain,
% 40.00/26.40 (~v154(constB16)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36103, 17223, 25759])).
% 40.00/26.40 tff(36105,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB16) | v154(constB16) | (~v150(constB16)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB16) | v154(constB16) | (~v150(constB16)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36106,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB16) | v154(constB16) | (~v150(constB16)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36107,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB16) | v154(constB16) | (~v150(constB16))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36106, 36105])).
% 40.00/26.40 tff(36108,plain,
% 40.00/26.40 (v153(constB16) | (~v150(constB16))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36107, 17170, 36104])).
% 40.00/26.40 tff(36109,plain,
% 40.00/26.40 (~v150(constB16)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36108, 36100])).
% 40.00/26.40 tff(36110,plain,
% 40.00/26.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36111,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36112,plain,
% 40.00/26.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36111, 36110])).
% 40.00/26.40 tff(36113,plain,
% 40.00/26.40 (v150(constB16) | (~v152(constB17))),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36112, 17185, 2396])).
% 40.00/26.40 tff(36114,plain,
% 40.00/26.40 (~v152(constB17)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36113, 36109])).
% 40.00/26.40 tff(36115,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB17) | (~v164(constB17)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB17) | (~v164(constB17)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36116,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB17) | (~v164(constB17)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36117,plain,
% 40.00/26.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB17) | (~v164(constB17))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36116, 36115])).
% 40.00/26.40 tff(36118,plain,
% 40.00/26.40 (~v164(constB17)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36117, 17247, 36114])).
% 40.00/26.40 tff(36119,plain,
% 40.00/26.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB17)) | (~v163(constB17)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB17)) | (~v163(constB17)))),
% 40.00/26.40 inference(rewrite,[status(thm)],[])).
% 40.00/26.40 tff(36120,plain,
% 40.00/26.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB17)) | (~v163(constB17)))),
% 40.00/26.40 inference(quant_inst,[status(thm)],[])).
% 40.00/26.40 tff(36121,plain,
% 40.00/26.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB17)) | (~v163(constB17))),
% 40.00/26.40 inference(modus_ponens,[status(thm)],[36120, 36119])).
% 40.00/26.40 tff(36122,plain,
% 40.00/26.40 (~v163(constB17)),
% 40.00/26.40 inference(unit_resolution,[status(thm)],[36121, 17298, 27586])).
% 40.00/26.40 tff(36123,plain,
% 40.00/26.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB17)) | v164(constB17) | v163(constB17))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB17)) | v164(constB17) | v163(constB17))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36124,plain,
% 40.00/26.41 ((v164(constB17) | v163(constB17) | (~v160(constB17))) <=> ((~v160(constB17)) | v164(constB17) | v163(constB17))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36125,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB17) | v163(constB17) | (~v160(constB17)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB17)) | v164(constB17) | v163(constB17)))),
% 40.00/26.41 inference(monotonicity,[status(thm)],[36124])).
% 40.00/26.41 tff(36126,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB17) | v163(constB17) | (~v160(constB17)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB17)) | v164(constB17) | v163(constB17))),
% 40.00/26.41 inference(transitivity,[status(thm)],[36125, 36123])).
% 40.00/26.41 tff(36127,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB17) | v163(constB17) | (~v160(constB17)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36128,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB17)) | v164(constB17) | v163(constB17)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36127, 36126])).
% 40.00/26.41 tff(36129,plain,
% 40.00/26.41 ((~v160(constB17)) | v164(constB17)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36128, 17312, 36122])).
% 40.00/26.41 tff(36130,plain,
% 40.00/26.41 (~v160(constB17)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36129, 36118])).
% 40.00/26.41 tff(36131,plain,
% 40.00/26.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36132,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36133,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36132, 36131])).
% 40.00/26.41 tff(36134,plain,
% 40.00/26.41 (v160(constB17) | (~v162(constB18))),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36133, 17330, 2537])).
% 40.00/26.41 tff(36135,plain,
% 40.00/26.41 (~v162(constB18)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36134, 36130])).
% 40.00/26.41 tff(36136,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB18) | (~v163(constB18)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB18) | (~v163(constB18)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36137,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB18) | (~v163(constB18)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36138,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB18) | (~v163(constB18))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36137, 36136])).
% 40.00/26.41 tff(36139,plain,
% 40.00/26.41 (~v163(constB18)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36138, 17342, 36135])).
% 40.00/26.41 tff(36140,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB18) | (~v164(constB18)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB18) | (~v164(constB18)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36141,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB18) | (~v164(constB18)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36142,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB18) | (~v164(constB18))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36141, 36140])).
% 40.00/26.41 tff(36143,plain,
% 40.00/26.41 (~v164(constB18)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36142, 17361, 27612])).
% 40.00/26.41 tff(36144,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB18)) | v164(constB18) | v163(constB18))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB18)) | v164(constB18) | v163(constB18))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36145,plain,
% 40.00/26.41 ((v164(constB18) | v163(constB18) | (~v160(constB18))) <=> ((~v160(constB18)) | v164(constB18) | v163(constB18))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36146,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB18) | v163(constB18) | (~v160(constB18)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB18)) | v164(constB18) | v163(constB18)))),
% 40.00/26.41 inference(monotonicity,[status(thm)],[36145])).
% 40.00/26.41 tff(36147,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB18) | v163(constB18) | (~v160(constB18)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB18)) | v164(constB18) | v163(constB18))),
% 40.00/26.41 inference(transitivity,[status(thm)],[36146, 36144])).
% 40.00/26.41 tff(36148,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB18) | v163(constB18) | (~v160(constB18)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36149,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB18)) | v164(constB18) | v163(constB18)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36148, 36147])).
% 40.00/26.41 tff(36150,plain,
% 40.00/26.41 ((~v160(constB18)) | v163(constB18)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36149, 17312, 36143])).
% 40.00/26.41 tff(36151,plain,
% 40.00/26.41 (~v160(constB18)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36150, 36139])).
% 40.00/26.41 tff(36152,plain,
% 40.00/26.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36153,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36154,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36153, 36152])).
% 40.00/26.41 tff(36155,plain,
% 40.00/26.41 (v160(constB18) | (~v162(constB19))),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36154, 17330, 2602])).
% 40.00/26.41 tff(36156,plain,
% 40.00/26.41 (~v162(constB19)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36155, 36151])).
% 40.00/26.41 tff(36157,plain,
% 40.00/26.41 ($false),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36156, 36030])).
% 40.00/26.41 tff(36158,plain,(~(constB19 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.41 tff(36159,assumption,(constB11 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.41 tff(36160,plain,
% 40.00/26.41 (v162(constB11) <=> v162(sK0_VarCurr)),
% 40.00/26.41 inference(monotonicity,[status(thm)],[36159])).
% 40.00/26.41 tff(36161,plain,
% 40.00/26.41 (v162(sK0_VarCurr) <=> v162(constB11)),
% 40.00/26.41 inference(symmetry,[status(thm)],[36160])).
% 40.00/26.41 tff(36162,plain,
% 40.00/26.41 (v162(constB11)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[17398, 36161])).
% 40.00/26.41 tff(36163,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB5) | (~v144(constB5)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB5) | (~v144(constB5)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36164,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB5) | (~v144(constB5)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36165,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB5) | (~v144(constB5))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36164, 36163])).
% 40.00/26.41 tff(36166,plain,
% 40.00/26.41 (~v144(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36165, 17003, 1120])).
% 40.00/26.41 tff(36167,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB5) | (~v142(constB5)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36168,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB5) | (~v142(constB5)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36169,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB5) | (~v142(constB5))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36168, 36167])).
% 40.00/26.41 tff(36170,plain,
% 40.00/26.41 (~v142(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36169, 17014, 36166])).
% 40.00/26.41 tff(36171,assumption,(v18(constB6)), introduced(assumption)).
% 40.00/26.41 tff(36172,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB6))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36173,plain,
% 40.00/26.41 ($false),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36172, 8, 36171])).
% 40.00/26.41 tff(36174,plain,(~v18(constB6)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.41 tff(36175,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36176,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36177,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36176, 36175])).
% 40.00/26.41 tff(36178,plain,
% 40.00/26.41 (v22(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36177, 21, 1037])).
% 40.00/26.41 tff(36179,plain,
% 40.00/26.41 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB6)) | (~v22(constB6)) | v18(constB6))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB6)) | (~v22(constB6)) | v18(constB6))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36180,plain,
% 40.00/26.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB6)) | (~v22(constB6)) | v18(constB6))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36181,plain,
% 40.00/26.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB6)) | (~v22(constB6)) | v18(constB6)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36180, 36179])).
% 40.00/26.41 tff(36182,plain,
% 40.00/26.41 ((~v19(constB6)) | v18(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36181, 35, 36178])).
% 40.00/26.41 tff(36183,plain,
% 40.00/26.41 (~v19(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36182, 36174])).
% 40.00/26.41 tff(36184,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36185,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36186,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36185, 36184])).
% 40.00/26.41 tff(36187,plain,
% 40.00/26.41 (v13(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36186, 50, 36183])).
% 40.00/26.41 tff(36188,plain,
% 40.00/26.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36189,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36190,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36189, 36188])).
% 40.00/26.41 tff(36191,plain,
% 40.00/26.41 ((~v13(constB6)) | v9(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36190, 67, 1017])).
% 40.00/26.41 tff(36192,plain,
% 40.00/26.41 (v9(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36191, 36187])).
% 40.00/26.41 tff(36193,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v141(constB5))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB5) | (~v9(constB5)) | v141(constB5))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36194,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v141(constB5))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36195,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB5) | (~v9(constB5)) | v141(constB5)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36194, 36193])).
% 40.00/26.41 tff(36196,plain,
% 40.00/26.41 ((~v9(constB5)) | v141(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36195, 85, 827])).
% 40.00/26.41 tff(36197,plain,
% 40.00/26.41 (v141(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36196, 36192])).
% 40.00/26.41 tff(36198,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB5) | (~v141(constB5)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB5) | (~v141(constB5)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36199,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB5) | (~v141(constB5)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36200,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB5) | (~v141(constB5))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36199, 36198])).
% 40.00/26.41 tff(36201,plain,
% 40.00/26.41 (v140(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36200, 97, 36197])).
% 40.00/26.41 tff(36202,plain,
% 40.00/26.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB5)) | (~v140(constB5)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB5)) | (~v140(constB5)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36203,plain,
% 40.00/26.41 (((~v140(constB5)) | (~v138(constB5))) <=> ((~v138(constB5)) | (~v140(constB5)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36204,plain,
% 40.00/26.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB5)) | (~v138(constB5)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB5)) | (~v140(constB5))))),
% 40.00/26.41 inference(monotonicity,[status(thm)],[36203])).
% 40.00/26.41 tff(36205,plain,
% 40.00/26.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB5)) | (~v138(constB5)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB5)) | (~v140(constB5)))),
% 40.00/26.41 inference(transitivity,[status(thm)],[36204, 36202])).
% 40.00/26.41 tff(36206,plain,
% 40.00/26.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB5)) | (~v138(constB5)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36207,plain,
% 40.00/26.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB5)) | (~v140(constB5))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36206, 36205])).
% 40.00/26.41 tff(36208,plain,
% 40.00/26.41 (~v138(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36207, 108, 36201])).
% 40.00/26.41 tff(36209,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB5) | v142(constB5) | (~v135(constB5)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB5) | v142(constB5) | (~v135(constB5)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36210,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB5) | v142(constB5) | (~v135(constB5)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36211,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB5) | v142(constB5) | (~v135(constB5))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36210, 36209])).
% 40.00/26.41 tff(36212,plain,
% 40.00/26.41 (v142(constB5) | (~v135(constB5))),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36211, 17028, 36208])).
% 40.00/26.41 tff(36213,plain,
% 40.00/26.41 (~v135(constB5)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36212, 36170])).
% 40.00/26.41 tff(36214,plain,
% 40.00/26.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36215,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36216,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36215, 36214])).
% 40.00/26.41 tff(36217,plain,
% 40.00/26.41 (v135(constB5) | (~v137(constB6))),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36216, 17043, 1017])).
% 40.00/26.41 tff(36218,plain,
% 40.00/26.41 (~v137(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36217, 36213])).
% 40.00/26.41 tff(36219,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB6) | (~v138(constB6)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB6) | (~v138(constB6)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36220,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB6) | (~v138(constB6)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36221,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB6) | (~v138(constB6))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36220, 36219])).
% 40.00/26.41 tff(36222,plain,
% 40.00/26.41 (~v138(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36221, 17055, 36218])).
% 40.00/26.41 tff(36223,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB6) | (~v144(constB6)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB6) | (~v144(constB6)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36224,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB6) | (~v144(constB6)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36225,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB6) | (~v144(constB6))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36224, 36223])).
% 40.00/26.41 tff(36226,plain,
% 40.00/26.41 (~v144(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36225, 17077, 31009])).
% 40.00/26.41 tff(36227,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB6) | (~v142(constB6)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB6) | (~v142(constB6)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36228,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB6) | (~v142(constB6)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36229,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB6) | (~v142(constB6))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36228, 36227])).
% 40.00/26.41 tff(36230,plain,
% 40.00/26.41 (~v142(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36229, 17014, 36226])).
% 40.00/26.41 tff(36231,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB6) | v142(constB6) | (~v135(constB6)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB6) | v142(constB6) | (~v135(constB6)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36232,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB6) | v142(constB6) | (~v135(constB6)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36233,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB6) | v142(constB6) | (~v135(constB6))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36232, 36231])).
% 40.00/26.41 tff(36234,plain,
% 40.00/26.41 (v138(constB6) | (~v135(constB6))),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36233, 17028, 36230])).
% 40.00/26.41 tff(36235,plain,
% 40.00/26.41 (~v135(constB6)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36234, 36222])).
% 40.00/26.41 tff(36236,plain,
% 40.00/26.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36237,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36238,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36237, 36236])).
% 40.00/26.41 tff(36239,plain,
% 40.00/26.41 (v135(constB6) | (~v137(constB7))),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36238, 17043, 1194])).
% 40.00/26.41 tff(36240,plain,
% 40.00/26.41 (~v137(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36239, 36235])).
% 40.00/26.41 tff(36241,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB7) | (~v154(constB7)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB7) | (~v154(constB7)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36242,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB7) | (~v154(constB7)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36243,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB7) | (~v154(constB7))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36242, 36241])).
% 40.00/26.41 tff(36244,plain,
% 40.00/26.41 (~v154(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36243, 17105, 36240])).
% 40.00/26.41 tff(36245,assumption,(v18(constB8)), introduced(assumption)).
% 40.00/26.41 tff(36246,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB8))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36247,plain,
% 40.00/26.41 ($false),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36246, 8, 36245])).
% 40.00/26.41 tff(36248,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.41 tff(36249,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36250,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36251,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36250, 36249])).
% 40.00/26.41 tff(36252,plain,
% 40.00/26.41 (v22(constB8)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36251, 21, 1427])).
% 40.00/26.41 tff(36253,plain,
% 40.00/26.41 (((~![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))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36254,plain,
% 40.00/26.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB8)) | (~v22(constB8)) | v18(constB8))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36255,plain,
% 40.00/26.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB8)) | (~v22(constB8)) | v18(constB8)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36254, 36253])).
% 40.00/26.41 tff(36256,plain,
% 40.00/26.41 ((~v19(constB8)) | v18(constB8)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36255, 35, 36252])).
% 40.00/26.41 tff(36257,plain,
% 40.00/26.41 (~v19(constB8)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36256, 36248])).
% 40.00/26.41 tff(36258,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36259,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36260,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36259, 36258])).
% 40.00/26.41 tff(36261,plain,
% 40.00/26.41 (v13(constB8)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36260, 50, 36257])).
% 40.00/26.41 tff(36262,plain,
% 40.00/26.41 (((~![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))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36263,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36264,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36263, 36262])).
% 40.00/26.41 tff(36265,plain,
% 40.00/26.41 ((~v13(constB8)) | v9(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36264, 67, 1407])).
% 40.00/26.41 tff(36266,plain,
% 40.00/26.41 (v9(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36265, 36261])).
% 40.00/26.41 tff(36267,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v141(constB7))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB7) | (~v9(constB7)) | v141(constB7))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36268,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v141(constB7))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36269,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB7) | (~v9(constB7)) | v141(constB7)),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36268, 36267])).
% 40.00/26.41 tff(36270,plain,
% 40.00/26.41 ((~v9(constB7)) | v141(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36269, 85, 1191])).
% 40.00/26.41 tff(36271,plain,
% 40.00/26.41 (v141(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36270, 36266])).
% 40.00/26.41 tff(36272,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB7) | (~v141(constB7)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB7) | (~v141(constB7)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36273,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB7) | (~v141(constB7)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36274,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB7) | (~v141(constB7))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36273, 36272])).
% 40.00/26.41 tff(36275,plain,
% 40.00/26.41 (v140(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36274, 97, 36271])).
% 40.00/26.41 tff(36276,plain,
% 40.00/26.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB7)) | (~v153(constB7)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB7)) | (~v153(constB7)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36277,plain,
% 40.00/26.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB7)) | (~v153(constB7)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36278,plain,
% 40.00/26.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB7)) | (~v153(constB7))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36277, 36276])).
% 40.00/26.41 tff(36279,plain,
% 40.00/26.41 (~v153(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36278, 17156, 36275])).
% 40.00/26.41 tff(36280,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB7) | v154(constB7) | (~v150(constB7)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB7) | v154(constB7) | (~v150(constB7)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36281,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB7) | v154(constB7) | (~v150(constB7)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36282,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB7) | v154(constB7) | (~v150(constB7))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36281, 36280])).
% 40.00/26.41 tff(36283,plain,
% 40.00/26.41 (v154(constB7) | (~v150(constB7))),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36282, 17170, 36279])).
% 40.00/26.41 tff(36284,plain,
% 40.00/26.41 (~v150(constB7)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36283, 36244])).
% 40.00/26.41 tff(36285,plain,
% 40.00/26.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36286,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36287,plain,
% 40.00/26.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36286, 36285])).
% 40.00/26.41 tff(36288,plain,
% 40.00/26.41 (v150(constB7) | (~v152(constB8))),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36287, 17185, 1407])).
% 40.00/26.41 tff(36289,plain,
% 40.00/26.41 (~v152(constB8)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36288, 36284])).
% 40.00/26.41 tff(36290,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB8) | (~v153(constB8)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB8) | (~v153(constB8)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36291,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB8) | (~v153(constB8)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36292,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB8) | (~v153(constB8))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36291, 36290])).
% 40.00/26.41 tff(36293,plain,
% 40.00/26.41 (~v153(constB8)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36292, 17197, 36289])).
% 40.00/26.41 tff(36294,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB8) | (~v154(constB8)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB8) | (~v154(constB8)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36295,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB8) | (~v154(constB8)))),
% 40.00/26.41 inference(quant_inst,[status(thm)],[])).
% 40.00/26.41 tff(36296,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB8) | (~v154(constB8))),
% 40.00/26.41 inference(modus_ponens,[status(thm)],[36295, 36294])).
% 40.00/26.41 tff(36297,plain,
% 40.00/26.41 (~v154(constB8)),
% 40.00/26.41 inference(unit_resolution,[status(thm)],[36296, 17223, 31183])).
% 40.00/26.41 tff(36298,plain,
% 40.00/26.41 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB8) | v154(constB8) | (~v150(constB8)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB8) | v154(constB8) | (~v150(constB8)))),
% 40.00/26.41 inference(rewrite,[status(thm)],[])).
% 40.00/26.41 tff(36299,plain,
% 40.00/26.41 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB8) | v154(constB8) | (~v150(constB8)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36300,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB8) | v154(constB8) | (~v150(constB8))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36299, 36298])).
% 40.00/26.42 tff(36301,plain,
% 40.00/26.42 (v153(constB8) | (~v150(constB8))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36300, 17170, 36297])).
% 40.00/26.42 tff(36302,plain,
% 40.00/26.42 (~v150(constB8)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36301, 36293])).
% 40.00/26.42 tff(36303,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36304,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36305,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36304, 36303])).
% 40.00/26.42 tff(36306,plain,
% 40.00/26.42 (v150(constB8) | (~v152(constB9))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36305, 17185, 1482])).
% 40.00/26.42 tff(36307,plain,
% 40.00/26.42 (~v152(constB9)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36306, 36302])).
% 40.00/26.42 tff(36308,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB9) | (~v164(constB9)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB9) | (~v164(constB9)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36309,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB9) | (~v164(constB9)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36310,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB9) | (~v164(constB9))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36309, 36308])).
% 40.00/26.42 tff(36311,plain,
% 40.00/26.42 (~v164(constB9)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36310, 17247, 36307])).
% 40.00/26.42 tff(36312,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB9) | (~v163(constB9)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB9) | (~v163(constB9)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36313,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB9) | (~v163(constB9)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36314,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB9) | (~v163(constB9))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36313, 36312])).
% 40.00/26.42 tff(36315,plain,
% 40.00/26.42 (~v163(constB9)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36314, 17342, 31200])).
% 40.00/26.42 tff(36316,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB9)) | v163(constB9) | v164(constB9))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB9)) | v163(constB9) | v164(constB9))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36317,plain,
% 40.00/26.42 ((v164(constB9) | v163(constB9) | (~v160(constB9))) <=> ((~v160(constB9)) | v163(constB9) | v164(constB9))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36318,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB9) | v163(constB9) | (~v160(constB9)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB9)) | v163(constB9) | v164(constB9)))),
% 40.00/26.42 inference(monotonicity,[status(thm)],[36317])).
% 40.00/26.42 tff(36319,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB9) | v163(constB9) | (~v160(constB9)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB9)) | v163(constB9) | v164(constB9))),
% 40.00/26.42 inference(transitivity,[status(thm)],[36318, 36316])).
% 40.00/26.42 tff(36320,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB9) | v163(constB9) | (~v160(constB9)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36321,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB9)) | v163(constB9) | v164(constB9)),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36320, 36319])).
% 40.00/26.42 tff(36322,plain,
% 40.00/26.42 ((~v160(constB9)) | v164(constB9)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36321, 17312, 36315])).
% 40.00/26.42 tff(36323,plain,
% 40.00/26.42 (~v160(constB9)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36322, 36311])).
% 40.00/26.42 tff(36324,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36325,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36326,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36325, 36324])).
% 40.00/26.42 tff(36327,plain,
% 40.00/26.42 (v160(constB9) | (~v162(constB10))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36326, 17330, 1644])).
% 40.00/26.42 tff(36328,plain,
% 40.00/26.42 (~v162(constB10)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36327, 36323])).
% 40.00/26.42 tff(36329,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB10) | (~v163(constB10)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB10) | (~v163(constB10)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36330,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB10) | (~v163(constB10)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36331,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB10) | (~v163(constB10))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36330, 36329])).
% 40.00/26.42 tff(36332,plain,
% 40.00/26.42 (~v163(constB10)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36331, 17342, 36328])).
% 40.00/26.42 tff(36333,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB10) | (~v155(constB10)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB10) | (~v155(constB10)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36334,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB10) | (~v155(constB10)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36335,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB10) | (~v155(constB10))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36334, 36333])).
% 40.00/26.42 tff(36336,plain,
% 40.00/26.42 (~v155(constB10)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36335, 17212, 25507])).
% 40.00/26.42 tff(36337,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB10) | (~v164(constB10)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB10) | (~v164(constB10)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36338,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB10) | (~v164(constB10)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36339,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB10) | (~v164(constB10))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36338, 36337])).
% 40.00/26.42 tff(36340,plain,
% 40.00/26.42 (~v164(constB10)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36339, 17361, 36336])).
% 40.00/26.42 tff(36341,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB10)) | v164(constB10) | v163(constB10))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB10)) | v164(constB10) | v163(constB10))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36342,plain,
% 40.00/26.42 ((v164(constB10) | v163(constB10) | (~v160(constB10))) <=> ((~v160(constB10)) | v164(constB10) | v163(constB10))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36343,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB10) | v163(constB10) | (~v160(constB10)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB10)) | v164(constB10) | v163(constB10)))),
% 40.00/26.42 inference(monotonicity,[status(thm)],[36342])).
% 40.00/26.42 tff(36344,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB10) | v163(constB10) | (~v160(constB10)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB10)) | v164(constB10) | v163(constB10))),
% 40.00/26.42 inference(transitivity,[status(thm)],[36343, 36341])).
% 40.00/26.42 tff(36345,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB10) | v163(constB10) | (~v160(constB10)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36346,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB10)) | v164(constB10) | v163(constB10)),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36345, 36344])).
% 40.00/26.42 tff(36347,plain,
% 40.00/26.42 ((~v160(constB10)) | v163(constB10)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36346, 17312, 36340])).
% 40.00/26.42 tff(36348,plain,
% 40.00/26.42 (~v160(constB10)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36347, 36332])).
% 40.00/26.42 tff(36349,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36350,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36351,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36350, 36349])).
% 40.00/26.42 tff(36352,plain,
% 40.00/26.42 (v160(constB10) | (~v162(constB11))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36351, 17330, 1719])).
% 40.00/26.42 tff(36353,plain,
% 40.00/26.42 (~v162(constB11)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36352, 36348])).
% 40.00/26.42 tff(36354,plain,
% 40.00/26.42 ($false),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36353, 36162])).
% 40.00/26.42 tff(36355,plain,(~(constB11 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.42 tff(36356,assumption,(constB81 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.42 tff(36357,plain,
% 40.00/26.42 (v162(constB81) <=> v162(sK0_VarCurr)),
% 40.00/26.42 inference(monotonicity,[status(thm)],[36356])).
% 40.00/26.42 tff(36358,plain,
% 40.00/26.42 (v162(sK0_VarCurr) <=> v162(constB81)),
% 40.00/26.42 inference(symmetry,[status(thm)],[36357])).
% 40.00/26.42 tff(36359,plain,
% 40.00/26.42 (v162(constB81)),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[17398, 36358])).
% 40.00/26.42 tff(36360,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB75) | (~v144(constB75)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB75) | (~v144(constB75)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36361,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB75) | (~v144(constB75)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36362,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB75) | (~v144(constB75))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36361, 36360])).
% 40.00/26.42 tff(36363,plain,
% 40.00/26.42 (~v144(constB75)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36362, 17003, 9135])).
% 40.00/26.42 tff(36364,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB75) | (~v142(constB75)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB75) | (~v142(constB75)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36365,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB75) | (~v142(constB75)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36366,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB75) | (~v142(constB75))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36365, 36364])).
% 40.00/26.42 tff(36367,plain,
% 40.00/26.42 (~v142(constB75)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36366, 17014, 36363])).
% 40.00/26.42 tff(36368,plain,
% 40.00/26.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB75)) | (~v140(constB75)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB75)) | (~v140(constB75)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36369,plain,
% 40.00/26.42 (((~v140(constB75)) | (~v138(constB75))) <=> ((~v138(constB75)) | (~v140(constB75)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36370,plain,
% 40.00/26.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB75)) | (~v138(constB75)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB75)) | (~v140(constB75))))),
% 40.00/26.42 inference(monotonicity,[status(thm)],[36369])).
% 40.00/26.42 tff(36371,plain,
% 40.00/26.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB75)) | (~v138(constB75)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB75)) | (~v140(constB75)))),
% 40.00/26.42 inference(transitivity,[status(thm)],[36370, 36368])).
% 40.00/26.42 tff(36372,plain,
% 40.00/26.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB75)) | (~v138(constB75)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36373,plain,
% 40.00/26.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB75)) | (~v140(constB75))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36372, 36371])).
% 40.00/26.42 tff(36374,plain,
% 40.00/26.42 (~v138(constB75)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36373, 108, 27942])).
% 40.00/26.42 tff(36375,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB75) | v142(constB75) | (~v135(constB75)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB75) | v142(constB75) | (~v135(constB75)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36376,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB75) | v142(constB75) | (~v135(constB75)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36377,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB75) | v142(constB75) | (~v135(constB75))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36376, 36375])).
% 40.00/26.42 tff(36378,plain,
% 40.00/26.42 (v142(constB75) | (~v135(constB75))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36377, 17028, 36374])).
% 40.00/26.42 tff(36379,plain,
% 40.00/26.42 (~v135(constB75)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36378, 36367])).
% 40.00/26.42 tff(36380,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB75, constB76)) | v135(constB75) | (~v137(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB75, constB76)) | v135(constB75) | (~v137(constB76)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36381,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB75, constB76)) | v135(constB75) | (~v137(constB76)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36382,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB75, constB76)) | v135(constB75) | (~v137(constB76))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36381, 36380])).
% 40.00/26.42 tff(36383,plain,
% 40.00/26.42 (v135(constB75) | (~v137(constB76))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36382, 17043, 9077])).
% 40.00/26.42 tff(36384,plain,
% 40.00/26.42 (~v137(constB76)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36383, 36379])).
% 40.00/26.42 tff(36385,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB76) | (~v138(constB76)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB76) | (~v138(constB76)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36386,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB76) | (~v138(constB76)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36387,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB76) | (~v138(constB76))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36386, 36385])).
% 40.00/26.42 tff(36388,plain,
% 40.00/26.42 (~v138(constB76)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36387, 17055, 36384])).
% 40.00/26.42 tff(36389,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB76) | (~v144(constB76)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB76) | (~v144(constB76)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36390,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB76) | (~v144(constB76)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36391,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB76) | (~v144(constB76))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36390, 36389])).
% 40.00/26.42 tff(36392,plain,
% 40.00/26.42 (~v144(constB76)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36391, 17077, 27964])).
% 40.00/26.42 tff(36393,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB76) | (~v142(constB76)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB76) | (~v142(constB76)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36394,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB76) | (~v142(constB76)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36395,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB76) | (~v142(constB76))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36394, 36393])).
% 40.00/26.42 tff(36396,plain,
% 40.00/26.42 (~v142(constB76)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36395, 17014, 36392])).
% 40.00/26.42 tff(36397,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB76) | v142(constB76) | (~v135(constB76)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB76) | v142(constB76) | (~v135(constB76)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36398,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB76) | v142(constB76) | (~v135(constB76)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36399,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB76) | v142(constB76) | (~v135(constB76))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36398, 36397])).
% 40.00/26.42 tff(36400,plain,
% 40.00/26.42 (v138(constB76) | (~v135(constB76))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36399, 17028, 36396])).
% 40.00/26.42 tff(36401,plain,
% 40.00/26.42 (~v135(constB76)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36400, 36388])).
% 40.00/26.42 tff(36402,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB76, constB77)) | v135(constB76) | (~v137(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB76, constB77)) | v135(constB76) | (~v137(constB77)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36403,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB76, constB77)) | v135(constB76) | (~v137(constB77)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36404,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB76, constB77)) | v135(constB76) | (~v137(constB77))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36403, 36402])).
% 40.00/26.42 tff(36405,plain,
% 40.00/26.42 (v135(constB76) | (~v137(constB77))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36404, 17043, 9170])).
% 40.00/26.42 tff(36406,plain,
% 40.00/26.42 (~v137(constB77)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36405, 36401])).
% 40.00/26.42 tff(36407,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB77) | (~v154(constB77)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB77) | (~v154(constB77)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36408,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB77) | (~v154(constB77)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36409,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB77) | (~v154(constB77))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36408, 36407])).
% 40.00/26.42 tff(36410,plain,
% 40.00/26.42 (~v154(constB77)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36409, 17105, 36406])).
% 40.00/26.42 tff(36411,plain,
% 40.00/26.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB77)) | (~v153(constB77)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB77)) | (~v153(constB77)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36412,plain,
% 40.00/26.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB77)) | (~v153(constB77)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36413,plain,
% 40.00/26.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB77)) | (~v153(constB77))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36412, 36411])).
% 40.00/26.42 tff(36414,plain,
% 40.00/26.42 (~v153(constB77)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36413, 17156, 28017])).
% 40.00/26.42 tff(36415,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB77) | v154(constB77) | (~v150(constB77)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB77) | v154(constB77) | (~v150(constB77)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36416,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB77) | v154(constB77) | (~v150(constB77)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36417,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB77) | v154(constB77) | (~v150(constB77))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36416, 36415])).
% 40.00/26.42 tff(36418,plain,
% 40.00/26.42 (v154(constB77) | (~v150(constB77))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36417, 17170, 36414])).
% 40.00/26.42 tff(36419,plain,
% 40.00/26.42 (~v150(constB77)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36418, 36410])).
% 40.00/26.42 tff(36420,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB77, constB78)) | v150(constB77) | (~v152(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB77, constB78)) | v150(constB77) | (~v152(constB78)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36421,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB77, constB78)) | v150(constB77) | (~v152(constB78)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36422,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB77, constB78)) | v150(constB77) | (~v152(constB78))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36421, 36420])).
% 40.00/26.42 tff(36423,plain,
% 40.00/26.42 (v150(constB77) | (~v152(constB78))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36422, 17185, 9291])).
% 40.00/26.42 tff(36424,plain,
% 40.00/26.42 (~v152(constB78)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36423, 36419])).
% 40.00/26.42 tff(36425,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB78) | (~v153(constB78)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB78) | (~v153(constB78)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36426,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB78) | (~v153(constB78)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36427,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB78) | (~v153(constB78))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36426, 36425])).
% 40.00/26.42 tff(36428,plain,
% 40.00/26.42 (~v153(constB78)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36427, 17197, 36424])).
% 40.00/26.42 tff(36429,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB78) | (~v154(constB78)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB78) | (~v154(constB78)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36430,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB78) | (~v154(constB78)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36431,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB78) | (~v154(constB78))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36430, 36429])).
% 40.00/26.42 tff(36432,plain,
% 40.00/26.42 (~v154(constB78)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36431, 17223, 28046])).
% 40.00/26.42 tff(36433,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB78) | v154(constB78) | (~v150(constB78)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB78) | v154(constB78) | (~v150(constB78)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36434,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB78) | v154(constB78) | (~v150(constB78)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36435,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB78) | v154(constB78) | (~v150(constB78))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36434, 36433])).
% 40.00/26.42 tff(36436,plain,
% 40.00/26.42 (v153(constB78) | (~v150(constB78))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36435, 17170, 36432])).
% 40.00/26.42 tff(36437,plain,
% 40.00/26.42 (~v150(constB78)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36436, 36428])).
% 40.00/26.42 tff(36438,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB78, constB79)) | v150(constB78) | (~v152(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB78, constB79)) | v150(constB78) | (~v152(constB79)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36439,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB78, constB79)) | v150(constB78) | (~v152(constB79)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36440,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB78, constB79)) | v150(constB78) | (~v152(constB79))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36439, 36438])).
% 40.00/26.42 tff(36441,plain,
% 40.00/26.42 (v150(constB78) | (~v152(constB79))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36440, 17185, 9446])).
% 40.00/26.42 tff(36442,plain,
% 40.00/26.42 (~v152(constB79)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36441, 36437])).
% 40.00/26.42 tff(36443,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB79) | (~v164(constB79)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB79) | (~v164(constB79)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36444,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB79) | (~v164(constB79)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36445,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB79) | (~v164(constB79))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36444, 36443])).
% 40.00/26.42 tff(36446,plain,
% 40.00/26.42 (~v164(constB79)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36445, 17247, 36442])).
% 40.00/26.42 tff(36447,plain,
% 40.00/26.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB79)) | (~v163(constB79)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB79)) | (~v163(constB79)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36448,plain,
% 40.00/26.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB79)) | (~v163(constB79)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36449,plain,
% 40.00/26.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB79)) | (~v163(constB79))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36448, 36447])).
% 40.00/26.42 tff(36450,plain,
% 40.00/26.42 (~v163(constB79)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36449, 17298, 27292])).
% 40.00/26.42 tff(36451,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB79)) | v163(constB79) | v164(constB79))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB79)) | v163(constB79) | v164(constB79))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36452,plain,
% 40.00/26.42 ((v164(constB79) | v163(constB79) | (~v160(constB79))) <=> ((~v160(constB79)) | v163(constB79) | v164(constB79))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36453,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB79) | v163(constB79) | (~v160(constB79)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB79)) | v163(constB79) | v164(constB79)))),
% 40.00/26.42 inference(monotonicity,[status(thm)],[36452])).
% 40.00/26.42 tff(36454,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB79) | v163(constB79) | (~v160(constB79)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB79)) | v163(constB79) | v164(constB79))),
% 40.00/26.42 inference(transitivity,[status(thm)],[36453, 36451])).
% 40.00/26.42 tff(36455,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB79) | v163(constB79) | (~v160(constB79)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36456,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB79)) | v163(constB79) | v164(constB79)),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36455, 36454])).
% 40.00/26.42 tff(36457,plain,
% 40.00/26.42 ((~v160(constB79)) | v164(constB79)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36456, 17312, 36450])).
% 40.00/26.42 tff(36458,plain,
% 40.00/26.42 (~v160(constB79)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36457, 36446])).
% 40.00/26.42 tff(36459,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB79, constB80)) | v160(constB79) | (~v162(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB79, constB80)) | v160(constB79) | (~v162(constB80)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36460,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB79, constB80)) | v160(constB79) | (~v162(constB80)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36461,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB79, constB80)) | v160(constB79) | (~v162(constB80))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36460, 36459])).
% 40.00/26.42 tff(36462,plain,
% 40.00/26.42 (v160(constB79) | (~v162(constB80))),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36461, 17330, 9644])).
% 40.00/26.42 tff(36463,plain,
% 40.00/26.42 (~v162(constB80)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36462, 36458])).
% 40.00/26.42 tff(36464,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB80) | (~v163(constB80)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB80) | (~v163(constB80)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36465,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB80) | (~v163(constB80)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36466,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB80) | (~v163(constB80))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36465, 36464])).
% 40.00/26.42 tff(36467,plain,
% 40.00/26.42 (~v163(constB80)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36466, 17342, 36463])).
% 40.00/26.42 tff(36468,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB80) | (~v155(constB80)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB80) | (~v155(constB80)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36469,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB80) | (~v155(constB80)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36470,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB80) | (~v155(constB80))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36469, 36468])).
% 40.00/26.42 tff(36471,plain,
% 40.00/26.42 (~v155(constB80)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36470, 17212, 27317])).
% 40.00/26.42 tff(36472,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB80) | (~v164(constB80)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB80) | (~v164(constB80)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36473,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB80) | (~v164(constB80)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36474,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB80) | (~v164(constB80))),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36473, 36472])).
% 40.00/26.42 tff(36475,plain,
% 40.00/26.42 (~v164(constB80)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36474, 17361, 36471])).
% 40.00/26.42 tff(36476,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB80)) | v164(constB80) | v163(constB80))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB80)) | v164(constB80) | v163(constB80))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36477,plain,
% 40.00/26.42 ((v164(constB80) | v163(constB80) | (~v160(constB80))) <=> ((~v160(constB80)) | v164(constB80) | v163(constB80))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36478,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB80) | v163(constB80) | (~v160(constB80)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB80)) | v164(constB80) | v163(constB80)))),
% 40.00/26.42 inference(monotonicity,[status(thm)],[36477])).
% 40.00/26.42 tff(36479,plain,
% 40.00/26.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB80) | v163(constB80) | (~v160(constB80)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB80)) | v164(constB80) | v163(constB80))),
% 40.00/26.42 inference(transitivity,[status(thm)],[36478, 36476])).
% 40.00/26.42 tff(36480,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB80) | v163(constB80) | (~v160(constB80)))),
% 40.00/26.42 inference(quant_inst,[status(thm)],[])).
% 40.00/26.42 tff(36481,plain,
% 40.00/26.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB80)) | v164(constB80) | v163(constB80)),
% 40.00/26.42 inference(modus_ponens,[status(thm)],[36480, 36479])).
% 40.00/26.42 tff(36482,plain,
% 40.00/26.42 ((~v160(constB80)) | v163(constB80)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36481, 17312, 36475])).
% 40.00/26.42 tff(36483,plain,
% 40.00/26.42 (~v160(constB80)),
% 40.00/26.42 inference(unit_resolution,[status(thm)],[36482, 36467])).
% 40.00/26.42 tff(36484,plain,
% 40.00/26.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB80, constB81)) | v160(constB80) | (~v162(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB80, constB81)) | v160(constB80) | (~v162(constB81)))),
% 40.00/26.42 inference(rewrite,[status(thm)],[])).
% 40.00/26.42 tff(36485,plain,
% 40.00/26.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB80, constB81)) | v160(constB80) | (~v162(constB81)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36486,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB80, constB81)) | v160(constB80) | (~v162(constB81))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36485, 36484])).
% 40.00/26.43 tff(36487,plain,
% 40.00/26.43 (v160(constB80) | (~v162(constB81))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36486, 17330, 9711])).
% 40.00/26.43 tff(36488,plain,
% 40.00/26.43 (~v162(constB81)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36487, 36483])).
% 40.00/26.43 tff(36489,plain,
% 40.00/26.43 ($false),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36488, 36359])).
% 40.00/26.43 tff(36490,plain,(~(constB81 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.43 tff(36491,assumption,(constB100 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.43 tff(36492,plain,
% 40.00/26.43 (v1(constB100) <=> v1(sK0_VarCurr)),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36491])).
% 40.00/26.43 tff(36493,plain,
% 40.00/26.43 (v1(sK0_VarCurr) <=> v1(constB100)),
% 40.00/26.43 inference(symmetry,[status(thm)],[36492])).
% 40.00/26.43 tff(36494,plain,
% 40.00/26.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB100))),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36493])).
% 40.00/26.43 tff(36495,plain,
% 40.00/26.43 (~v1(constB100)),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[23858, 36494])).
% 40.00/26.43 tff(36496,plain,
% 40.00/26.43 ($false),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[11959, 36495])).
% 40.00/26.43 tff(36497,plain,(~(constB100 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.43 tff(36498,assumption,(constB36 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.43 tff(36499,plain,
% 40.00/26.43 (v1(constB36) <=> v1(sK0_VarCurr)),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36498])).
% 40.00/26.43 tff(36500,plain,
% 40.00/26.43 (v1(sK0_VarCurr) <=> v1(constB36)),
% 40.00/26.43 inference(symmetry,[status(thm)],[36499])).
% 40.00/26.43 tff(36501,plain,
% 40.00/26.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB36))),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36500])).
% 40.00/26.43 tff(36502,plain,
% 40.00/26.43 (~v1(constB36)),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[23858, 36501])).
% 40.00/26.43 tff(36503,plain,
% 40.00/26.43 ($false),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[4516, 36502])).
% 40.00/26.43 tff(36504,plain,(~(constB36 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.43 tff(36505,assumption,(constB51 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.43 tff(36506,plain,
% 40.00/26.43 (v162(constB51) <=> v162(sK0_VarCurr)),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36505])).
% 40.00/26.43 tff(36507,plain,
% 40.00/26.43 (v162(sK0_VarCurr) <=> v162(constB51)),
% 40.00/26.43 inference(symmetry,[status(thm)],[36506])).
% 40.00/26.43 tff(36508,plain,
% 40.00/26.43 (v162(constB51)),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[17398, 36507])).
% 40.00/26.43 tff(36509,plain,
% 40.00/26.43 (~v115(constB43)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[5473, 1058, 22738])).
% 40.00/26.43 tff(36510,plain,
% 40.00/26.43 (v124(constB43, bitIndex2)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[5481, 724, 22745])).
% 40.00/26.43 tff(36511,plain,
% 40.00/26.43 (v121(constB43, bitIndex2)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[5486, 36510])).
% 40.00/26.43 tff(36512,plain,
% 40.00/26.43 (v123(constB44, bitIndex2)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[5491, 36511])).
% 40.00/26.43 tff(36513,plain,
% 40.00/26.43 (v84(constB44, bitIndex2)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[5603, 36512, 32059, 36509])).
% 40.00/26.43 tff(36514,plain,
% 40.00/26.43 (v84(constB45, bitIndex2)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[5612, 36513])).
% 40.00/26.43 tff(36515,plain,
% 40.00/26.43 (~v145(constB45)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[5712, 5709, 36514])).
% 40.00/26.43 tff(36516,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB45) | (~v144(constB45)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB45) | (~v144(constB45)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36517,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB45) | (~v144(constB45)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36518,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB45) | (~v144(constB45))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36517, 36516])).
% 40.00/26.43 tff(36519,plain,
% 40.00/26.43 (~v144(constB45)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36518, 17003, 36515])).
% 40.00/26.43 tff(36520,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB45) | (~v142(constB45)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36521,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB45) | (~v142(constB45)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36522,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB45) | (~v142(constB45))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36521, 36520])).
% 40.00/26.43 tff(36523,plain,
% 40.00/26.43 (~v142(constB45)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36522, 17014, 36519])).
% 40.00/26.43 tff(36524,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB45)) | (~v140(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB45)) | (~v140(constB45)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36525,plain,
% 40.00/26.43 (((~v140(constB45)) | (~v138(constB45))) <=> ((~v138(constB45)) | (~v140(constB45)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36526,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB45)) | (~v138(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB45)) | (~v140(constB45))))),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36525])).
% 40.00/26.43 tff(36527,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB45)) | (~v138(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB45)) | (~v140(constB45)))),
% 40.00/26.43 inference(transitivity,[status(thm)],[36526, 36524])).
% 40.00/26.43 tff(36528,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB45)) | (~v138(constB45)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36529,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB45)) | (~v140(constB45))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36528, 36527])).
% 40.00/26.43 tff(36530,plain,
% 40.00/26.43 (~v138(constB45)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36529, 108, 32141])).
% 40.00/26.43 tff(36531,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB45) | v142(constB45) | (~v135(constB45)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB45) | v142(constB45) | (~v135(constB45)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36532,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB45) | v142(constB45) | (~v135(constB45)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36533,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB45) | v142(constB45) | (~v135(constB45))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36532, 36531])).
% 40.00/26.43 tff(36534,plain,
% 40.00/26.43 (v142(constB45) | (~v135(constB45))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36533, 17028, 36530])).
% 40.00/26.43 tff(36535,plain,
% 40.00/26.43 (~v135(constB45)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36534, 36523])).
% 40.00/26.43 tff(36536,plain,
% 40.00/26.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36537,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36538,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36537, 36536])).
% 40.00/26.43 tff(36539,plain,
% 40.00/26.43 (v135(constB45) | (~v137(constB46))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36538, 17043, 5638])).
% 40.00/26.43 tff(36540,plain,
% 40.00/26.43 (~v137(constB46)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36539, 36535])).
% 40.00/26.43 tff(36541,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB46) | (~v138(constB46)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB46) | (~v138(constB46)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36542,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB46) | (~v138(constB46)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36543,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB46) | (~v138(constB46))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36542, 36541])).
% 40.00/26.43 tff(36544,plain,
% 40.00/26.43 (~v138(constB46)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36543, 17055, 36540])).
% 40.00/26.43 tff(36545,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB46) | (~v144(constB46)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB46) | (~v144(constB46)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36546,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB46) | (~v144(constB46)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36547,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB46) | (~v144(constB46))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36546, 36545])).
% 40.00/26.43 tff(36548,plain,
% 40.00/26.43 (~v144(constB46)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36547, 17077, 32163])).
% 40.00/26.43 tff(36549,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB46) | (~v142(constB46)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB46) | (~v142(constB46)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36550,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB46) | (~v142(constB46)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36551,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB46) | (~v142(constB46))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36550, 36549])).
% 40.00/26.43 tff(36552,plain,
% 40.00/26.43 (~v142(constB46)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36551, 17014, 36548])).
% 40.00/26.43 tff(36553,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB46) | v142(constB46) | (~v135(constB46)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB46) | v142(constB46) | (~v135(constB46)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36554,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB46) | v142(constB46) | (~v135(constB46)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36555,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB46) | v142(constB46) | (~v135(constB46))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36554, 36553])).
% 40.00/26.43 tff(36556,plain,
% 40.00/26.43 (v138(constB46) | (~v135(constB46))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36555, 17028, 36552])).
% 40.00/26.43 tff(36557,plain,
% 40.00/26.43 (~v135(constB46)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36556, 36544])).
% 40.00/26.43 tff(36558,plain,
% 40.00/26.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36559,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36560,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36559, 36558])).
% 40.00/26.43 tff(36561,plain,
% 40.00/26.43 (v135(constB46) | (~v137(constB47))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36560, 17043, 5748])).
% 40.00/26.43 tff(36562,plain,
% 40.00/26.43 (~v137(constB47)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36561, 36557])).
% 40.00/26.43 tff(36563,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB47) | (~v154(constB47)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB47) | (~v154(constB47)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36564,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB47) | (~v154(constB47)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36565,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB47) | (~v154(constB47))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36564, 36563])).
% 40.00/26.43 tff(36566,plain,
% 40.00/26.43 (~v154(constB47)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36565, 17105, 36562])).
% 40.00/26.43 tff(36567,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB47)) | (~v153(constB47)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB47)) | (~v153(constB47)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36568,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB47)) | (~v153(constB47)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36569,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB47)) | (~v153(constB47))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36568, 36567])).
% 40.00/26.43 tff(36570,plain,
% 40.00/26.43 (~v153(constB47)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36569, 17156, 32216])).
% 40.00/26.43 tff(36571,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB47) | v154(constB47) | (~v150(constB47)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB47) | v154(constB47) | (~v150(constB47)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36572,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB47) | v154(constB47) | (~v150(constB47)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36573,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB47) | v154(constB47) | (~v150(constB47))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36572, 36571])).
% 40.00/26.43 tff(36574,plain,
% 40.00/26.43 (v154(constB47) | (~v150(constB47))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36573, 17170, 36570])).
% 40.00/26.43 tff(36575,plain,
% 40.00/26.43 (~v150(constB47)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36574, 36566])).
% 40.00/26.43 tff(36576,plain,
% 40.00/26.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36577,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36578,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36577, 36576])).
% 40.00/26.43 tff(36579,plain,
% 40.00/26.43 (v150(constB47) | (~v152(constB48))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36578, 17185, 5892])).
% 40.00/26.43 tff(36580,plain,
% 40.00/26.43 (~v152(constB48)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36579, 36575])).
% 40.00/26.43 tff(36581,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB48) | (~v153(constB48)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB48) | (~v153(constB48)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36582,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB48) | (~v153(constB48)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36583,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB48) | (~v153(constB48))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36582, 36581])).
% 40.00/26.43 tff(36584,plain,
% 40.00/26.43 (~v153(constB48)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36583, 17197, 36580])).
% 40.00/26.43 tff(36585,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB48) | (~v154(constB48)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB48) | (~v154(constB48)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36586,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB48) | (~v154(constB48)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36587,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB48) | (~v154(constB48))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36586, 36585])).
% 40.00/26.43 tff(36588,plain,
% 40.00/26.43 (~v154(constB48)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36587, 17223, 32245])).
% 40.00/26.43 tff(36589,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB48) | v154(constB48) | (~v150(constB48)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB48) | v154(constB48) | (~v150(constB48)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36590,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB48) | v154(constB48) | (~v150(constB48)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36591,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB48) | v154(constB48) | (~v150(constB48))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36590, 36589])).
% 40.00/26.43 tff(36592,plain,
% 40.00/26.43 (v153(constB48) | (~v150(constB48))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36591, 17170, 36588])).
% 40.00/26.43 tff(36593,plain,
% 40.00/26.43 (~v150(constB48)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36592, 36584])).
% 40.00/26.43 tff(36594,plain,
% 40.00/26.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36595,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36596,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36595, 36594])).
% 40.00/26.43 tff(36597,plain,
% 40.00/26.43 (v150(constB48) | (~v152(constB49))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36596, 17185, 5957])).
% 40.00/26.43 tff(36598,plain,
% 40.00/26.43 (~v152(constB49)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36597, 36593])).
% 40.00/26.43 tff(36599,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB49) | (~v164(constB49)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB49) | (~v164(constB49)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36600,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB49) | (~v164(constB49)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36601,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB49) | (~v164(constB49))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36600, 36599])).
% 40.00/26.43 tff(36602,plain,
% 40.00/26.43 (~v164(constB49)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36601, 17247, 36598])).
% 40.00/26.43 tff(36603,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB49)) | (~v163(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB49)) | (~v163(constB49)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36604,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB49)) | (~v163(constB49)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36605,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB49)) | (~v163(constB49))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36604, 36603])).
% 40.00/26.43 tff(36606,plain,
% 40.00/26.43 (~v163(constB49)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36605, 17298, 23506])).
% 40.00/26.43 tff(36607,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB49)) | v163(constB49) | v164(constB49))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB49)) | v163(constB49) | v164(constB49))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36608,plain,
% 40.00/26.43 ((v164(constB49) | v163(constB49) | (~v160(constB49))) <=> ((~v160(constB49)) | v163(constB49) | v164(constB49))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36609,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB49) | v163(constB49) | (~v160(constB49)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB49)) | v163(constB49) | v164(constB49)))),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36608])).
% 40.00/26.43 tff(36610,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB49) | v163(constB49) | (~v160(constB49)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB49)) | v163(constB49) | v164(constB49))),
% 40.00/26.43 inference(transitivity,[status(thm)],[36609, 36607])).
% 40.00/26.43 tff(36611,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB49) | v163(constB49) | (~v160(constB49)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36612,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB49)) | v163(constB49) | v164(constB49)),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36611, 36610])).
% 40.00/26.43 tff(36613,plain,
% 40.00/26.43 ((~v160(constB49)) | v164(constB49)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36612, 17312, 36606])).
% 40.00/26.43 tff(36614,plain,
% 40.00/26.43 (~v160(constB49)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36613, 36602])).
% 40.00/26.43 tff(36615,plain,
% 40.00/26.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36616,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36617,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36616, 36615])).
% 40.00/26.43 tff(36618,plain,
% 40.00/26.43 (v160(constB49) | (~v162(constB50))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36617, 17330, 6087])).
% 40.00/26.43 tff(36619,plain,
% 40.00/26.43 (~v162(constB50)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36618, 36614])).
% 40.00/26.43 tff(36620,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB50) | (~v163(constB50)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB50) | (~v163(constB50)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36621,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB50) | (~v163(constB50)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36622,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB50) | (~v163(constB50))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36621, 36620])).
% 40.00/26.43 tff(36623,plain,
% 40.00/26.43 (~v163(constB50)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36622, 17342, 36619])).
% 40.00/26.43 tff(36624,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB50) | (~v155(constB50)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB50) | (~v155(constB50)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36625,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB50) | (~v155(constB50)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36626,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB50) | (~v155(constB50))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36625, 36624])).
% 40.00/26.43 tff(36627,plain,
% 40.00/26.43 (~v155(constB50)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36626, 17212, 23531])).
% 40.00/26.43 tff(36628,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB50) | (~v164(constB50)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB50) | (~v164(constB50)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36629,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB50) | (~v164(constB50)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36630,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB50) | (~v164(constB50))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36629, 36628])).
% 40.00/26.43 tff(36631,plain,
% 40.00/26.43 (~v164(constB50)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36630, 17361, 36627])).
% 40.00/26.43 tff(36632,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB50)) | v164(constB50) | v163(constB50))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB50)) | v164(constB50) | v163(constB50))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36633,plain,
% 40.00/26.43 ((v164(constB50) | v163(constB50) | (~v160(constB50))) <=> ((~v160(constB50)) | v164(constB50) | v163(constB50))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36634,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB50) | v163(constB50) | (~v160(constB50)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB50)) | v164(constB50) | v163(constB50)))),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36633])).
% 40.00/26.43 tff(36635,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB50) | v163(constB50) | (~v160(constB50)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB50)) | v164(constB50) | v163(constB50))),
% 40.00/26.43 inference(transitivity,[status(thm)],[36634, 36632])).
% 40.00/26.43 tff(36636,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB50) | v163(constB50) | (~v160(constB50)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36637,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB50)) | v164(constB50) | v163(constB50)),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36636, 36635])).
% 40.00/26.43 tff(36638,plain,
% 40.00/26.43 ((~v160(constB50)) | v163(constB50)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36637, 17312, 36631])).
% 40.00/26.43 tff(36639,plain,
% 40.00/26.43 (~v160(constB50)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36638, 36623])).
% 40.00/26.43 tff(36640,plain,
% 40.00/26.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36641,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36642,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36641, 36640])).
% 40.00/26.43 tff(36643,plain,
% 40.00/26.43 (v160(constB50) | (~v162(constB51))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36642, 17330, 6152])).
% 40.00/26.43 tff(36644,plain,
% 40.00/26.43 (~v162(constB51)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36643, 36639])).
% 40.00/26.43 tff(36645,plain,
% 40.00/26.43 ($false),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36644, 36508])).
% 40.00/26.43 tff(36646,plain,(~(constB51 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.43 tff(36647,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.43 tff(36648,plain,
% 40.00/26.43 (v162(constB39) <=> v162(sK0_VarCurr)),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36647])).
% 40.00/26.43 tff(36649,plain,
% 40.00/26.43 (v162(sK0_VarCurr) <=> v162(constB39)),
% 40.00/26.43 inference(symmetry,[status(thm)],[36648])).
% 40.00/26.43 tff(36650,plain,
% 40.00/26.43 (v162(constB39)),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[17398, 36649])).
% 40.00/26.43 tff(36651,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB33, bitIndex2)) | (~v145(constB33)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB33, bitIndex2)) | (~v145(constB33)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36652,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB33, bitIndex2)) | (~v145(constB33)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36653,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB33, bitIndex2)) | (~v145(constB33))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36652, 36651])).
% 40.00/26.43 tff(36654,plain,
% 40.00/26.43 (~v145(constB33)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36653, 5709, 4218])).
% 40.00/26.43 tff(36655,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB33) | (~v144(constB33)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB33) | (~v144(constB33)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36656,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB33) | (~v144(constB33)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36657,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB33) | (~v144(constB33))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36656, 36655])).
% 40.00/26.43 tff(36658,plain,
% 40.00/26.43 (~v144(constB33)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36657, 17003, 36654])).
% 40.00/26.43 tff(36659,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB33) | (~v142(constB33)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB33) | (~v142(constB33)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36660,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB33) | (~v142(constB33)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36661,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB33) | (~v142(constB33))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36660, 36659])).
% 40.00/26.43 tff(36662,plain,
% 40.00/26.43 (~v142(constB33)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36661, 17014, 36658])).
% 40.00/26.43 tff(36663,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB33)) | (~v140(constB33)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB33)) | (~v140(constB33)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36664,plain,
% 40.00/26.43 (((~v140(constB33)) | (~v138(constB33))) <=> ((~v138(constB33)) | (~v140(constB33)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36665,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB33)) | (~v138(constB33)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB33)) | (~v140(constB33))))),
% 40.00/26.43 inference(monotonicity,[status(thm)],[36664])).
% 40.00/26.43 tff(36666,plain,
% 40.00/26.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB33)) | (~v138(constB33)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB33)) | (~v140(constB33)))),
% 40.00/26.43 inference(transitivity,[status(thm)],[36665, 36663])).
% 40.00/26.43 tff(36667,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB33)) | (~v138(constB33)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36668,plain,
% 40.00/26.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB33)) | (~v140(constB33))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36667, 36666])).
% 40.00/26.43 tff(36669,plain,
% 40.00/26.43 (~v138(constB33)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36668, 108, 20178])).
% 40.00/26.43 tff(36670,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB33) | v142(constB33) | (~v135(constB33)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB33) | v142(constB33) | (~v135(constB33)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36671,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB33) | v142(constB33) | (~v135(constB33)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36672,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB33) | v142(constB33) | (~v135(constB33))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36671, 36670])).
% 40.00/26.43 tff(36673,plain,
% 40.00/26.43 (v142(constB33) | (~v135(constB33))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36672, 17028, 36669])).
% 40.00/26.43 tff(36674,plain,
% 40.00/26.43 (~v135(constB33)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36673, 36662])).
% 40.00/26.43 tff(36675,plain,
% 40.00/26.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36676,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36677,plain,
% 40.00/26.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36676, 36675])).
% 40.00/26.43 tff(36678,plain,
% 40.00/26.43 (v135(constB33) | (~v137(constB34))),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36677, 17043, 4321])).
% 40.00/26.43 tff(36679,plain,
% 40.00/26.43 (~v137(constB34)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36678, 36674])).
% 40.00/26.43 tff(36680,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB34) | (~v138(constB34)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB34) | (~v138(constB34)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36681,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB34) | (~v138(constB34)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36682,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB34) | (~v138(constB34))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36681, 36680])).
% 40.00/26.43 tff(36683,plain,
% 40.00/26.43 (~v138(constB34)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36682, 17055, 36679])).
% 40.00/26.43 tff(36684,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB34) | (~v144(constB34)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB34) | (~v144(constB34)))),
% 40.00/26.43 inference(rewrite,[status(thm)],[])).
% 40.00/26.43 tff(36685,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB34) | (~v144(constB34)))),
% 40.00/26.43 inference(quant_inst,[status(thm)],[])).
% 40.00/26.43 tff(36686,plain,
% 40.00/26.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB34) | (~v144(constB34))),
% 40.00/26.43 inference(modus_ponens,[status(thm)],[36685, 36684])).
% 40.00/26.43 tff(36687,plain,
% 40.00/26.43 (~v144(constB34)),
% 40.00/26.43 inference(unit_resolution,[status(thm)],[36686, 17077, 20203])).
% 40.00/26.43 tff(36688,plain,
% 40.00/26.43 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB34) | (~v142(constB34)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB34) | (~v142(constB34)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36689,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB34) | (~v142(constB34)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36690,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB34) | (~v142(constB34))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36689, 36688])).
% 40.00/26.44 tff(36691,plain,
% 40.00/26.44 (~v142(constB34)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36690, 17014, 36687])).
% 40.00/26.44 tff(36692,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB34) | v142(constB34) | (~v135(constB34)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB34) | v142(constB34) | (~v135(constB34)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36693,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB34) | v142(constB34) | (~v135(constB34)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36694,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB34) | v142(constB34) | (~v135(constB34))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36693, 36692])).
% 40.00/26.44 tff(36695,plain,
% 40.00/26.44 (v138(constB34) | (~v135(constB34))),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36694, 17028, 36691])).
% 40.00/26.44 tff(36696,plain,
% 40.00/26.44 (~v135(constB34)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36695, 36683])).
% 40.00/26.44 tff(36697,plain,
% 40.00/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36698,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36699,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36698, 36697])).
% 40.00/26.44 tff(36700,plain,
% 40.00/26.44 (v135(constB34) | (~v137(constB35))),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36699, 17043, 4383])).
% 40.00/26.44 tff(36701,plain,
% 40.00/26.44 (~v137(constB35)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36700, 36696])).
% 40.00/26.44 tff(36702,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB35) | (~v154(constB35)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB35) | (~v154(constB35)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36703,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB35) | (~v154(constB35)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36704,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB35) | (~v154(constB35))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36703, 36702])).
% 40.00/26.44 tff(36705,plain,
% 40.00/26.44 (~v154(constB35)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36704, 17105, 36701])).
% 40.00/26.44 tff(36706,plain,
% 40.00/26.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB35)) | (~v153(constB35)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB35)) | (~v153(constB35)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36707,plain,
% 40.00/26.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB35)) | (~v153(constB35)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36708,plain,
% 40.00/26.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB35)) | (~v153(constB35))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36707, 36706])).
% 40.00/26.44 tff(36709,plain,
% 40.00/26.44 (~v153(constB35)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36708, 17156, 25005])).
% 40.00/26.44 tff(36710,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB35) | v154(constB35) | (~v150(constB35)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB35) | v154(constB35) | (~v150(constB35)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36711,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB35) | v154(constB35) | (~v150(constB35)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36712,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB35) | v154(constB35) | (~v150(constB35))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36711, 36710])).
% 40.00/26.44 tff(36713,plain,
% 40.00/26.44 (v154(constB35) | (~v150(constB35))),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36712, 17170, 36709])).
% 40.00/26.44 tff(36714,plain,
% 40.00/26.44 (~v150(constB35)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36713, 36705])).
% 40.00/26.44 tff(36715,plain,
% 40.00/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36716,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36717,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36716, 36715])).
% 40.00/26.44 tff(36718,plain,
% 40.00/26.44 (v150(constB35) | (~v152(constB36))),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36717, 17185, 4496])).
% 40.00/26.44 tff(36719,plain,
% 40.00/26.44 (~v152(constB36)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36718, 36714])).
% 40.00/26.44 tff(36720,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB36) | (~v153(constB36)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB36) | (~v153(constB36)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36721,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB36) | (~v153(constB36)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36722,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB36) | (~v153(constB36))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36721, 36720])).
% 40.00/26.44 tff(36723,plain,
% 40.00/26.44 (~v153(constB36)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36722, 17197, 36719])).
% 40.00/26.44 tff(36724,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB36) | (~v154(constB36)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB36) | (~v154(constB36)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36725,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB36) | (~v154(constB36)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36726,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB36) | (~v154(constB36))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36725, 36724])).
% 40.00/26.44 tff(36727,plain,
% 40.00/26.44 (~v154(constB36)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36726, 17223, 25034])).
% 40.00/26.44 tff(36728,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB36) | v154(constB36) | (~v150(constB36)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB36) | v154(constB36) | (~v150(constB36)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36729,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB36) | v154(constB36) | (~v150(constB36)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36730,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB36) | v154(constB36) | (~v150(constB36))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36729, 36728])).
% 40.00/26.44 tff(36731,plain,
% 40.00/26.44 (v153(constB36) | (~v150(constB36))),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36730, 17170, 36727])).
% 40.00/26.44 tff(36732,plain,
% 40.00/26.44 (~v150(constB36)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36731, 36723])).
% 40.00/26.44 tff(36733,plain,
% 40.00/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36734,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36735,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36734, 36733])).
% 40.00/26.44 tff(36736,plain,
% 40.00/26.44 (v150(constB36) | (~v152(constB37))),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36735, 17185, 4588])).
% 40.00/26.44 tff(36737,plain,
% 40.00/26.44 (~v152(constB37)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36736, 36732])).
% 40.00/26.44 tff(36738,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB37) | (~v164(constB37)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB37) | (~v164(constB37)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36739,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB37) | (~v164(constB37)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36740,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB37) | (~v164(constB37))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36739, 36738])).
% 40.00/26.44 tff(36741,plain,
% 40.00/26.44 (~v164(constB37)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36740, 17247, 36737])).
% 40.00/26.44 tff(36742,plain,
% 40.00/26.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB37)) | (~v163(constB37)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB37)) | (~v163(constB37)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36743,plain,
% 40.00/26.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB37)) | (~v163(constB37)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36744,plain,
% 40.00/26.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB37)) | (~v163(constB37))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36743, 36742])).
% 40.00/26.44 tff(36745,plain,
% 40.00/26.44 (~v163(constB37)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36744, 17298, 33092])).
% 40.00/26.44 tff(36746,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB37)) | v163(constB37) | v164(constB37))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB37)) | v163(constB37) | v164(constB37))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36747,plain,
% 40.00/26.44 ((v164(constB37) | v163(constB37) | (~v160(constB37))) <=> ((~v160(constB37)) | v163(constB37) | v164(constB37))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36748,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB37) | v163(constB37) | (~v160(constB37)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB37)) | v163(constB37) | v164(constB37)))),
% 40.00/26.44 inference(monotonicity,[status(thm)],[36747])).
% 40.00/26.44 tff(36749,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB37) | v163(constB37) | (~v160(constB37)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB37)) | v163(constB37) | v164(constB37))),
% 40.00/26.44 inference(transitivity,[status(thm)],[36748, 36746])).
% 40.00/26.44 tff(36750,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB37) | v163(constB37) | (~v160(constB37)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36751,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB37)) | v163(constB37) | v164(constB37)),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36750, 36749])).
% 40.00/26.44 tff(36752,plain,
% 40.00/26.44 ((~v160(constB37)) | v164(constB37)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36751, 17312, 36745])).
% 40.00/26.44 tff(36753,plain,
% 40.00/26.44 (~v160(constB37)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36752, 36741])).
% 40.00/26.44 tff(36754,plain,
% 40.00/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36755,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36756,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36755, 36754])).
% 40.00/26.44 tff(36757,plain,
% 40.00/26.44 (v160(constB37) | (~v162(constB38))),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36756, 17330, 4731])).
% 40.00/26.44 tff(36758,plain,
% 40.00/26.44 (~v162(constB38)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36757, 36753])).
% 40.00/26.44 tff(36759,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB38) | (~v163(constB38)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB38) | (~v163(constB38)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36760,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB38) | (~v163(constB38)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36761,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB38) | (~v163(constB38))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36760, 36759])).
% 40.00/26.44 tff(36762,plain,
% 40.00/26.44 (~v163(constB38)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36761, 17342, 36758])).
% 40.00/26.44 tff(36763,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB38) | (~v164(constB38)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB38) | (~v164(constB38)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36764,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB38) | (~v164(constB38)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36765,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB38) | (~v164(constB38))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36764, 36763])).
% 40.00/26.44 tff(36766,plain,
% 40.00/26.44 (~v164(constB38)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36765, 17361, 33118])).
% 40.00/26.44 tff(36767,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB38)) | v164(constB38) | v163(constB38))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB38)) | v164(constB38) | v163(constB38))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36768,plain,
% 40.00/26.44 ((v164(constB38) | v163(constB38) | (~v160(constB38))) <=> ((~v160(constB38)) | v164(constB38) | v163(constB38))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36769,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB38) | v163(constB38) | (~v160(constB38)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB38)) | v164(constB38) | v163(constB38)))),
% 40.00/26.44 inference(monotonicity,[status(thm)],[36768])).
% 40.00/26.44 tff(36770,plain,
% 40.00/26.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB38) | v163(constB38) | (~v160(constB38)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB38)) | v164(constB38) | v163(constB38))),
% 40.00/26.44 inference(transitivity,[status(thm)],[36769, 36767])).
% 40.00/26.44 tff(36771,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB38) | v163(constB38) | (~v160(constB38)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36772,plain,
% 40.00/26.44 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB38)) | v164(constB38) | v163(constB38)),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36771, 36770])).
% 40.00/26.44 tff(36773,plain,
% 40.00/26.44 ((~v160(constB38)) | v163(constB38)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36772, 17312, 36766])).
% 40.00/26.44 tff(36774,plain,
% 40.00/26.44 (~v160(constB38)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36773, 36762])).
% 40.00/26.44 tff(36775,plain,
% 40.00/26.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))),
% 40.00/26.44 inference(rewrite,[status(thm)],[])).
% 40.00/26.44 tff(36776,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))),
% 40.00/26.44 inference(quant_inst,[status(thm)],[])).
% 40.00/26.44 tff(36777,plain,
% 40.00/26.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39))),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[36776, 36775])).
% 40.00/26.44 tff(36778,plain,
% 40.00/26.44 (v160(constB38) | (~v162(constB39))),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36777, 17330, 4800])).
% 40.00/26.44 tff(36779,plain,
% 40.00/26.44 (~v162(constB39)),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36778, 36774])).
% 40.00/26.44 tff(36780,plain,
% 40.00/26.44 ($false),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[36779, 36650])).
% 40.00/26.44 tff(36781,plain,(~(constB39 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.44 tff(36782,assumption,(constB90 = sK0_VarCurr), introduced(assumption)).
% 40.00/26.44 tff(36783,plain,
% 40.00/26.44 (v1(constB90) <=> v1(sK0_VarCurr)),
% 40.00/26.44 inference(monotonicity,[status(thm)],[36782])).
% 40.00/26.44 tff(36784,plain,
% 40.00/26.44 (v1(sK0_VarCurr) <=> v1(constB90)),
% 40.00/26.44 inference(symmetry,[status(thm)],[36783])).
% 40.00/26.44 tff(36785,plain,
% 40.00/26.44 ((~v1(sK0_VarCurr)) <=> (~v1(constB90))),
% 40.00/26.44 inference(monotonicity,[status(thm)],[36784])).
% 40.00/26.44 tff(36786,plain,
% 40.00/26.44 (~v1(constB90)),
% 40.00/26.44 inference(modus_ponens,[status(thm)],[23858, 36785])).
% 40.00/26.44 tff(36787,plain,
% 40.00/26.44 ($false),
% 40.00/26.44 inference(unit_resolution,[status(thm)],[10642, 36786])).
% 40.00/26.44 tff(36788,plain,(~(constB90 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 40.00/26.44 tff(36789,plain,
% 40.00/26.44 (^[VarState: $i] : refl(((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState) | (constB21 = VarState) | (constB22 = VarState) | (constB23 = VarState) | (constB24 = VarState) | (constB25 = VarState) | (constB26 = VarState) | (constB27 = VarState) | (constB28 = VarState) | (constB29 = VarState) | (constB30 = VarState) | (constB31 = VarState) | (constB32 = VarState) | (constB33 = VarState) | (constB34 = VarState) | (constB35 = VarState) | (constB36 = VarState) | (constB37 = VarState) | (constB38 = VarState) | (constB39 = VarState) | (constB40 = VarState) | (constB41 = VarState) | (constB42 = VarState) | (constB43 = VarState) | (constB44 = VarState) | (constB45 = VarState) | (constB46 = VarState) | (constB47 = VarState) | (constB48 = VarState) | (constB49 = VarState) | (constB50 = VarState) | (constB51 = VarState) | (constB52 = VarState) | (constB53 = VarState) | (constB54 = VarState) | (constB55 = VarState) | (constB56 = VarState) | (constB57 = VarState) | (constB58 = VarState) | (constB59 = VarState) | (constB60 = VarState) | (constB61 = VarState) | (constB62 = VarState) | (constB63 = VarState) | (constB64 = VarState) | (constB65 = VarState) | (constB66 = VarState) | (constB67 = VarState) | (constB68 = VarState) | (constB69 = VarState) | (constB70 = VarState) | (constB71 = VarState) | (constB72 = VarState) | (constB73 = VarState) | (constB74 = VarState) | (constB75 = VarState) | (constB76 = VarState) | (constB77 = VarState) | (constB78 = VarState) | (constB79 = VarState) | (constB80 = VarState) | (constB81 = VarState) | (constB82 = VarState) | (constB83 = VarState) | (constB84 = VarState) | (constB85 = VarState) | (constB86 = VarState) | (constB87 = VarState) | (constB88 = VarState) | (constB89 = VarState) | (constB90 = VarState) | (constB91 = VarState) | (constB92 = VarState) | (constB93 = VarState) | (constB94 = VarState) | (constB95 = VarState) | (constB96 = VarState) | (constB97 = VarState) | (constB98 = VarState) | (constB99 = VarState) | (constB100 = VarState) | (constB101 = VarState) | (constB102 = VarState) | (constB103 = VarState) | (constB104 = VarState) | (constB105 = VarState) | (constB106 = VarState) | (constB107 = VarState) | (constB108 = VarState) | (constB109 = VarState) | (constB110 = VarState) | (constB111 = VarState) | (constB112 = VarState) | (constB113 = VarState) | (constB114 = VarState) | (constB115 = VarState) | (constB116 = VarState) | (constB117 = VarState) | (constB118 = VarState) | (constB119 = VarState) | (constB120 = VarState) | (constB121 = VarState) | (constB122 = VarState) | (constB123 = VarState) | (constB124 = VarState) | (constB125 = VarState) | (constB126 = VarState) | (constB127 = VarState) | (constB128 = VarState) | (constB129 = VarState) | (constB130 = VarState) | (constB131 = VarState) | (constB132 = VarState) | (constB133 = VarState) | (constB134 = VarState) | (constB135 = VarState) | (constB136 = VarState) | (constB137 = VarState) | (constB138 = VarState) | (constB139 = VarState) | (constB140 = VarState) | (constB141 = VarState) | (constB142 = VarState) | (constB143 = VarState) | (constB144 = VarState) | (constB145 = VarState) | (constB146 = VarState) | (constB147 = VarState) | (constB148 = VarState) | (constB149 = VarState) | (constB150 = VarState) | (constB151 = VarState) | (constB152 = VarState) | (constB153 = VarState) | (constB154 = VarState) | (constB155 = VarState) | (constB156 = VarState) | (constB157 = VarState) | (constB158 = VarState) | (constB159 = VarState) | (constB160 = VarState) | (constB161 = VarState) | (constB162 = VarState) | (constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) <=> ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState) | (constB21 = VarState) | (constB22 = VarState) | (constB23 = VarState) | (constB24 = VarState) | (constB25 = VarState) | (constB26 = VarState) | (constB27 = VarState) | (constB28 = VarState) | (constB29 = VarState) | (constB30 = VarState) | (constB31 = VarState) | (constB32 = VarState) | (constB33 = VarState) | (constB34 = VarState) | (constB35 = VarState) | (constB36 = VarState) | (constB37 = VarState) | (constB38 = VarState) | (constB39 = VarState) | (constB40 = VarState) | (constB41 = VarState) | (constB42 = VarState) | (constB43 = VarState) | (constB44 = VarState) | (constB45 = VarState) | (constB46 = VarState) | (constB47 = VarState) | (constB48 = VarState) | (constB49 = VarState) | (constB50 = VarState) | (constB51 = VarState) | (constB52 = VarState) | (constB53 = VarState) | (constB54 = VarState) | (constB55 = VarState) | (constB56 = VarState) | (constB57 = VarState) | (constB58 = VarState) | (constB59 = VarState) | (constB60 = VarState) | (constB61 = VarState) | (constB62 = VarState) | (constB63 = VarState) | (constB64 = VarState) | (constB65 = VarState) | (constB66 = VarState) | (constB67 = VarState) | (constB68 = VarState) | (constB69 = VarState) | (constB70 = VarState) | (constB71 = VarState) | (constB72 = VarState) | (constB73 = VarState) | (constB74 = VarState) | (constB75 = VarState) | (constB76 = VarState) | (constB77 = VarState) | (constB78 = VarState) | (constB79 = VarState) | (constB80 = VarState) | (constB81 = VarState) | (constB82 = VarState) | (constB83 = VarState) | (constB84 = VarState) | (constB85 = VarState) | (constB86 = VarState) | (constB87 = VarState) | (constB88 = VarState) | (constB89 = VarState) | (constB90 = VarState) | (constB91 = VarState) | (constB92 = VarState) | (constB93 = VarState) | (constB94 = VarState) | (constB95 = VarState) | (constB96 = VarState) | (constB97 = VarState) | (constB98 = VarState) | (constB99 = VarState) | (constB100 = VarState) | (constB101 = VarState) | (constB102 = VarState) | (constB103 = VarState) | (constB104 = VarState) | (constB105 = VarState) | (constB106 = VarState) | (constB107 = VarState) | (constB108 = VarState) | (constB109 = VarState) | (constB110 = VarState) | (constB111 = VarState) | (constB112 = VarState) | (constB113 = VarState) | (constB114 = VarState) | (constB115 = VarState) | (constB116 = VarState) | (constB117 = VarState) | (constB118 = VarState) | (constB119 = VarState) | (constB120 = VarState) | (constB121 = VarState) | (constB122 = VarState) | (constB123 = VarState) | (constB124 = VarState) | (constB125 = VarState) | (constB126 = VarState) | (constB127 = VarState) | (constB128 = VarState) | (constB129 = VarState) | (constB130 = VarState) | (constB131 = VarState) | (constB132 = VarState) | (constB133 = VarState) | (constB134 = VarState) | (constB135 = VarState) | (constB136 = VarState) | (constB137 = VarState) | (constB138 = VarState) | (constB139 = VarState) | (constB140 = VarState) | (constB141 = VarState) | (constB142 = VarState) | (constB143 = VarState) | (constB144 = VarState) | (constB145 = VarState) | (constB146 = VarState) | (constB147 = VarState) | (constB148 = VarState) | (constB149 = VarState) | (constB150 = VarState) | (constB151 = VarState) | (constB152 = VarState) | (constB153 = VarState) | (constB154 = VarState) | (constB155 = VarState) | (constB156 = VarState) | (constB157 = VarState) | (constB158 = VarState) | (constB159 = VarState) | (constB160 = VarState) | (constB161 = VarState) | (constB162 = VarState) | (constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))),
% 40.00/26.45 inference(bind,[status(th)],[])).
% 40.00/26.45 tff(36790,plain,
% 40.00/26.45 (![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState) | (constB21 = VarState) | (constB22 = VarState) | (constB23 = VarState) | (constB24 = VarState) | (constB25 = VarState) | (constB26 = VarState) | (constB27 = VarState) | (constB28 = VarState) | (constB29 = VarState) | (constB30 = VarState) | (constB31 = VarState) | (constB32 = VarState) | (constB33 = VarState) | (constB34 = VarState) | (constB35 = VarState) | (constB36 = VarState) | (constB37 = VarState) | (constB38 = VarState) | (constB39 = VarState) | (constB40 = VarState) | (constB41 = VarState) | (constB42 = VarState) | (constB43 = VarState) | (constB44 = VarState) | (constB45 = VarState) | (constB46 = VarState) | (constB47 = VarState) | (constB48 = VarState) | (constB49 = VarState) | (constB50 = VarState) | (constB51 = VarState) | (constB52 = VarState) | (constB53 = VarState) | (constB54 = VarState) | (constB55 = VarState) | (constB56 = VarState) | (constB57 = VarState) | (constB58 = VarState) | (constB59 = VarState) | (constB60 = VarState) | (constB61 = VarState) | (constB62 = VarState) | (constB63 = VarState) | (constB64 = VarState) | (constB65 = VarState) | (constB66 = VarState) | (constB67 = VarState) | (constB68 = VarState) | (constB69 = VarState) | (constB70 = VarState) | (constB71 = VarState) | (constB72 = VarState) | (constB73 = VarState) | (constB74 = VarState) | (constB75 = VarState) | (constB76 = VarState) | (constB77 = VarState) | (constB78 = VarState) | (constB79 = VarState) | (constB80 = VarState) | (constB81 = VarState) | (constB82 = VarState) | (constB83 = VarState) | (constB84 = VarState) | (constB85 = VarState) | (constB86 = VarState) | (constB87 = VarState) | (constB88 = VarState) | (constB89 = VarState) | (constB90 = VarState) | (constB91 = VarState) | (constB92 = VarState) | (constB93 = VarState) | (constB94 = VarState) | (constB95 = VarState) | (constB96 = VarState) | (constB97 = VarState) | (constB98 = VarState) | (constB99 = VarState) | (constB100 = VarState) | (constB101 = VarState) | (constB102 = VarState) | (constB103 = VarState) | (constB104 = VarState) | (constB105 = VarState) | (constB106 = VarState) | (constB107 = VarState) | (constB108 = VarState) | (constB109 = VarState) | (constB110 = VarState) | (constB111 = VarState) | (constB112 = VarState) | (constB113 = VarState) | (constB114 = VarState) | (constB115 = VarState) | (constB116 = VarState) | (constB117 = VarState) | (constB118 = VarState) | (constB119 = VarState) | (constB120 = VarState) | (constB121 = VarState) | (constB122 = VarState) | (constB123 = VarState) | (constB124 = VarState) | (constB125 = VarState) | (constB126 = VarState) | (constB127 = VarState) | (constB128 = VarState) | (constB129 = VarState) | (constB130 = VarState) | (constB131 = VarState) | (constB132 = VarState) | (constB133 = VarState) | (constB134 = VarState) | (constB135 = VarState) | (constB136 = VarState) | (constB137 = VarState) | (constB138 = VarState) | (constB139 = VarState) | (constB140 = VarState) | (constB141 = VarState) | (constB142 = VarState) | (constB143 = VarState) | (constB144 = VarState) | (constB145 = VarState) | (constB146 = VarState) | (constB147 = VarState) | (constB148 = VarState) | (constB149 = VarState) | (constB150 = VarState) | (constB151 = VarState) | (constB152 = VarState) | (constB153 = VarState) | (constB154 = VarState) | (constB155 = VarState) | (constB156 = VarState) | (constB157 = VarState) | (constB158 = VarState) | (constB159 = VarState) | (constB160 = VarState) | (constB161 = VarState) | (constB162 = VarState) | (constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) <=> ![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState) | (constB21 = VarState) | (constB22 = VarState) | (constB23 = VarState) | (constB24 = VarState) | (constB25 = VarState) | (constB26 = VarState) | (constB27 = VarState) | (constB28 = VarState) | (constB29 = VarState) | (constB30 = VarState) | (constB31 = VarState) | (constB32 = VarState) | (constB33 = VarState) | (constB34 = VarState) | (constB35 = VarState) | (constB36 = VarState) | (constB37 = VarState) | (constB38 = VarState) | (constB39 = VarState) | (constB40 = VarState) | (constB41 = VarState) | (constB42 = VarState) | (constB43 = VarState) | (constB44 = VarState) | (constB45 = VarState) | (constB46 = VarState) | (constB47 = VarState) | (constB48 = VarState) | (constB49 = VarState) | (constB50 = VarState) | (constB51 = VarState) | (constB52 = VarState) | (constB53 = VarState) | (constB54 = VarState) | (constB55 = VarState) | (constB56 = VarState) | (constB57 = VarState) | (constB58 = VarState) | (constB59 = VarState) | (constB60 = VarState) | (constB61 = VarState) | (constB62 = VarState) | (constB63 = VarState) | (constB64 = VarState) | (constB65 = VarState) | (constB66 = VarState) | (constB67 = VarState) | (constB68 = VarState) | (constB69 = VarState) | (constB70 = VarState) | (constB71 = VarState) | (constB72 = VarState) | (constB73 = VarState) | (constB74 = VarState) | (constB75 = VarState) | (constB76 = VarState) | (constB77 = VarState) | (constB78 = VarState) | (constB79 = VarState) | (constB80 = VarState) | (constB81 = VarState) | (constB82 = VarState) | (constB83 = VarState) | (constB84 = VarState) | (constB85 = VarState) | (constB86 = VarState) | (constB87 = VarState) | (constB88 = VarState) | (constB89 = VarState) | (constB90 = VarState) | (constB91 = VarState) | (constB92 = VarState) | (constB93 = VarState) | (constB94 = VarState) | (constB95 = VarState) | (constB96 = VarState) | (constB97 = VarState) | (constB98 = VarState) | (constB99 = VarState) | (constB100 = VarState) | (constB101 = VarState) | (constB102 = VarState) | (constB103 = VarState) | (constB104 = VarState) | (constB105 = VarState) | (constB106 = VarState) | (constB107 = VarState) | (constB108 = VarState) | (constB109 = VarState) | (constB110 = VarState) | (constB111 = VarState) | (constB112 = VarState) | (constB113 = VarState) | (constB114 = VarState) | (constB115 = VarState) | (constB116 = VarState) | (constB117 = VarState) | (constB118 = VarState) | (constB119 = VarState) | (constB120 = VarState) | (constB121 = VarState) | (constB122 = VarState) | (constB123 = VarState) | (constB124 = VarState) | (constB125 = VarState) | (constB126 = VarState) | (constB127 = VarState) | (constB128 = VarState) | (constB129 = VarState) | (constB130 = VarState) | (constB131 = VarState) | (constB132 = VarState) | (constB133 = VarState) | (constB134 = VarState) | (constB135 = VarState) | (constB136 = VarState) | (constB137 = VarState) | (constB138 = VarState) | (constB139 = VarState) | (constB140 = VarState) | (constB141 = VarState) | (constB142 = VarState) | (constB143 = VarState) | (constB144 = VarState) | (constB145 = VarState) | (constB146 = VarState) | (constB147 = VarState) | (constB148 = VarState) | (constB149 = VarState) | (constB150 = VarState) | (constB151 = VarState) | (constB152 = VarState) | (constB153 = VarState) | (constB154 = VarState) | (constB155 = VarState) | (constB156 = VarState) | (constB157 = VarState) | (constB158 = VarState) | (constB159 = VarState) | (constB160 = VarState) | (constB161 = VarState) | (constB162 = VarState) | (constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))),
% 40.00/26.45 inference(quant_intro,[status(thm)],[36789])).
% 40.00/26.45 tff(36791,plain,
% 40.00/26.45 (![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState) | (constB21 = VarState) | (constB22 = VarState) | (constB23 = VarState) | (constB24 = VarState) | (constB25 = VarState) | (constB26 = VarState) | (constB27 = VarState) | (constB28 = VarState) | (constB29 = VarState) | (constB30 = VarState) | (constB31 = VarState) | (constB32 = VarState) | (constB33 = VarState) | (constB34 = VarState) | (constB35 = VarState) | (constB36 = VarState) | (constB37 = VarState) | (constB38 = VarState) | (constB39 = VarState) | (constB40 = VarState) | (constB41 = VarState) | (constB42 = VarState) | (constB43 = VarState) | (constB44 = VarState) | (constB45 = VarState) | (constB46 = VarState) | (constB47 = VarState) | (constB48 = VarState) | (constB49 = VarState) | (constB50 = VarState) | (constB51 = VarState) | (constB52 = VarState) | (constB53 = VarState) | (constB54 = VarState) | (constB55 = VarState) | (constB56 = VarState) | (constB57 = VarState) | (constB58 = VarState) | (constB59 = VarState) | (constB60 = VarState) | (constB61 = VarState) | (constB62 = VarState) | (constB63 = VarState) | (constB64 = VarState) | (constB65 = VarState) | (constB66 = VarState) | (constB67 = VarState) | (constB68 = VarState) | (constB69 = VarState) | (constB70 = VarState) | (constB71 = VarState) | (constB72 = VarState) | (constB73 = VarState) | (constB74 = VarState) | (constB75 = VarState) | (constB76 = VarState) | (constB77 = VarState) | (constB78 = VarState) | (constB79 = VarState) | (constB80 = VarState) | (constB81 = VarState) | (constB82 = VarState) | (constB83 = VarState) | (constB84 = VarState) | (constB85 = VarState) | (constB86 = VarState) | (constB87 = VarState) | (constB88 = VarState) | (constB89 = VarState) | (constB90 = VarState) | (constB91 = VarState) | (constB92 = VarState) | (constB93 = VarState) | (constB94 = VarState) | (constB95 = VarState) | (constB96 = VarState) | (constB97 = VarState) | (constB98 = VarState) | (constB99 = VarState) | (constB100 = VarState) | (constB101 = VarState) | (constB102 = VarState) | (constB103 = VarState) | (constB104 = VarState) | (constB105 = VarState) | (constB106 = VarState) | (constB107 = VarState) | (constB108 = VarState) | (constB109 = VarState) | (constB110 = VarState) | (constB111 = VarState) | (constB112 = VarState) | (constB113 = VarState) | (constB114 = VarState) | (constB115 = VarState) | (constB116 = VarState) | (constB117 = VarState) | (constB118 = VarState) | (constB119 = VarState) | (constB120 = VarState) | (constB121 = VarState) | (constB122 = VarState) | (constB123 = VarState) | (constB124 = VarState) | (constB125 = VarState) | (constB126 = VarState) | (constB127 = VarState) | (constB128 = VarState) | (constB129 = VarState) | (constB130 = VarState) | (constB131 = VarState) | (constB132 = VarState) | (constB133 = VarState) | (constB134 = VarState) | (constB135 = VarState) | (constB136 = VarState) | (constB137 = VarState) | (constB138 = VarState) | (constB139 = VarState) | (constB140 = VarState) | (constB141 = VarState) | (constB142 = VarState) | (constB143 = VarState) | (constB144 = VarState) | (constB145 = VarState) | (constB146 = VarState) | (constB147 = VarState) | (constB148 = VarState) | (constB149 = VarState) | (constB150 = VarState) | (constB151 = VarState) | (constB152 = VarState) | (constB153 = VarState) | (constB154 = VarState) | (constB155 = VarState) | (constB156 = VarState) | (constB157 = VarState) | (constB158 = VarState) | (constB159 = VarState) | (constB160 = VarState) | (constB161 = VarState) | (constB162 = VarState) | (constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) <=> ![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState) | (constB21 = VarState) | (constB22 = VarState) | (constB23 = VarState) | (constB24 = VarState) | (constB25 = VarState) | (constB26 = VarState) | (constB27 = VarState) | (constB28 = VarState) | (constB29 = VarState) | (constB30 = VarState) | (constB31 = VarState) | (constB32 = VarState) | (constB33 = VarState) | (constB34 = VarState) | (constB35 = VarState) | (constB36 = VarState) | (constB37 = VarState) | (constB38 = VarState) | (constB39 = VarState) | (constB40 = VarState) | (constB41 = VarState) | (constB42 = VarState) | (constB43 = VarState) | (constB44 = VarState) | (constB45 = VarState) | (constB46 = VarState) | (constB47 = VarState) | (constB48 = VarState) | (constB49 = VarState) | (constB50 = VarState) | (constB51 = VarState) | (constB52 = VarState) | (constB53 = VarState) | (constB54 = VarState) | (constB55 = VarState) | (constB56 = VarState) | (constB57 = VarState) | (constB58 = VarState) | (constB59 = VarState) | (constB60 = VarState) | (constB61 = VarState) | (constB62 = VarState) | (constB63 = VarState) | (constB64 = VarState) | (constB65 = VarState) | (constB66 = VarState) | (constB67 = VarState) | (constB68 = VarState) | (constB69 = VarState) | (constB70 = VarState) | (constB71 = VarState) | (constB72 = VarState) | (constB73 = VarState) | (constB74 = VarState) | (constB75 = VarState) | (constB76 = VarState) | (constB77 = VarState) | (constB78 = VarState) | (constB79 = VarState) | (constB80 = VarState) | (constB81 = VarState) | (constB82 = VarState) | (constB83 = VarState) | (constB84 = VarState) | (constB85 = VarState) | (constB86 = VarState) | (constB87 = VarState) | (constB88 = VarState) | (constB89 = VarState) | (constB90 = VarState) | (constB91 = VarState) | (constB92 = VarState) | (constB93 = VarState) | (constB94 = VarState) | (constB95 = VarState) | (constB96 = VarState) | (constB97 = VarState) | (constB98 = VarState) | (constB99 = VarState) | (constB100 = VarState) | (constB101 = VarState) | (constB102 = VarState) | (constB103 = VarState) | (constB104 = VarState) | (constB105 = VarState) | (constB106 = VarState) | (constB107 = VarState) | (constB108 = VarState) | (constB109 = VarState) | (constB110 = VarState) | (constB111 = VarState) | (constB112 = VarState) | (constB113 = VarState) | (constB114 = VarState) | (constB115 = VarState) | (constB116 = VarState) | (constB117 = VarState) | (constB118 = VarState) | (constB119 = VarState) | (constB120 = VarState) | (constB121 = VarState) | (constB122 = VarState) | (constB123 = VarState) | (constB124 = VarState) | (constB125 = VarState) | (constB126 = VarState) | (constB127 = VarState) | (constB128 = VarState) | (constB129 = VarState) | (constB130 = VarState) | (constB131 = VarState) | (constB132 = VarState) | (constB133 = VarState) | (constB134 = VarState) | (constB135 = VarState) | (constB136 = VarState) | (constB137 = VarState) | (constB138 = VarState) | (constB139 = VarState) | (constB140 = VarState) | (constB141 = VarState) | (constB142 = VarState) | (constB143 = VarState) | (constB144 = VarState) | (constB145 = VarState) | (constB146 = VarState) | (constB147 = VarState) | (constB148 = VarState) | (constB149 = VarState) | (constB150 = VarState) | (constB151 = VarState) | (constB152 = VarState) | (constB153 = VarState) | (constB154 = VarState) | (constB155 = VarState) | (constB156 = VarState) | (constB157 = VarState) | (constB158 = VarState) | (constB159 = VarState) | (constB160 = VarState) | (constB161 = VarState) | (constB162 = VarState) | (constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))),
% 40.00/26.46 inference(rewrite,[status(thm)],[])).
% 40.00/26.46 tff(36792,plain,
% 40.00/26.46 (^[VarState: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((constB200 = VarState) | (constB199 = VarState)) <=> ((constB199 = VarState) | (constB200 = VarState))), ((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) <=> (((constB199 = VarState) | (constB200 = VarState)) | (constB198 = VarState)))), rewrite((((constB199 = VarState) | (constB200 = VarState)) | (constB198 = VarState)) <=> ((constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) <=> ((constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) <=> (((constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB197 = VarState)))), rewrite((((constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB197 = VarState)) <=> ((constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) <=> ((constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) <=> (((constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB196 = VarState)))), rewrite((((constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB196 = VarState)) <=> ((constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) <=> ((constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) <=> (((constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB195 = VarState)))), rewrite((((constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB195 = VarState)) <=> ((constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) <=> ((constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) <=> (((constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB194 = VarState)))), rewrite((((constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB194 = VarState)) <=> ((constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) <=> ((constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) <=> (((constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB193 = VarState)))), rewrite((((constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB193 = VarState)) <=> ((constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) <=> ((constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) <=> (((constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB192 = VarState)))), rewrite((((constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB192 = VarState)) <=> ((constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) <=> ((constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) <=> (((constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB191 = VarState)))), rewrite((((constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB191 = VarState)) <=> ((constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) <=> ((constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) <=> (((constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB190 = VarState)))), rewrite((((constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB190 = VarState)) <=> ((constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) <=> ((constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) <=> (((constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB189 = VarState)))), rewrite((((constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB189 = VarState)) <=> ((constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) <=> ((constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) <=> (((constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB188 = VarState)))), rewrite((((constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB188 = VarState)) <=> ((constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) <=> ((constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) <=> (((constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB187 = VarState)))), rewrite((((constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB187 = VarState)) <=> ((constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) <=> ((constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) <=> (((constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB186 = VarState)))), rewrite((((constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB186 = VarState)) <=> ((constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) <=> ((constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) <=> (((constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB185 = VarState)))), rewrite((((constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB185 = VarState)) <=> ((constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) <=> ((constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) <=> (((constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB184 = VarState)))), rewrite((((constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB184 = VarState)) <=> ((constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) <=> ((constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) <=> (((constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB183 = VarState)))), rewrite((((constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB183 = VarState)) <=> ((constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) <=> ((constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) <=> (((constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB182 = VarState)))), rewrite((((constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB182 = VarState)) <=> ((constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) <=> ((constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) <=> (((constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB181 = VarState)))), rewrite((((constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB181 = VarState)) <=> ((constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) <=> ((constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) <=> (((constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB180 = VarState)))), rewrite((((constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB180 = VarState)) <=> ((constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) <=> ((constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) <=> (((constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB179 = VarState)))), rewrite((((constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB179 = VarState)) <=> ((constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) <=> ((constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) <=> (((constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB178 = VarState)))), rewrite((((constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB178 = VarState)) <=> ((constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) <=> ((constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) <=> (((constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB177 = VarState)))), rewrite((((constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB177 = VarState)) <=> ((constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) <=> ((constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) <=> (((constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB176 = VarState)))), rewrite((((constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB176 = VarState)) <=> ((constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) <=> ((constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) <=> (((constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB175 = VarState)))), rewrite((((constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB175 = VarState)) <=> ((constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) <=> ((constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) <=> (((constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB174 = VarState)))), rewrite((((constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB174 = VarState)) <=> ((constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) <=> ((constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) <=> (((constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB173 = VarState)))), rewrite((((constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB173 = VarState)) <=> ((constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) <=> ((constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) <=> (((constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB172 = VarState)))), rewrite((((constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB172 = VarState)) <=> ((constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) <=> ((constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) <=> (((constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB171 = VarState)))), rewrite((((constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB171 = VarState)) <=> ((constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) <=> ((constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) <=> (((constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB170 = VarState)))), rewrite((((constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB170 = VarState)) <=> ((constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) <=> ((constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) <=> (((constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB169 = VarState)))), rewrite((((constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB169 = VarState)) <=> ((constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) <=> ((constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) <=> (((constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB168 = VarState)))), rewrite((((constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB168 = VarState)) <=> ((constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) <=> ((constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) <=> (((constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB167 = VarState)))), rewrite((((constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB167 = VarState)) <=> ((constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) <=> ((constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) <=> (((constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB166 = VarState)))), rewrite((((constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB166 = VarState)) <=> ((constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) <=> ((constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) | (constB165 = VarState)) <=> (((constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB165 = VarState)))), rewrite((((constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB165 = VarState)) <=> ((constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) | (constB165 = VarState)) <=> ((constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) | (constB165 = VarState)) | (constB164 = VarState)) <=> (((constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB164 = VarState)))), rewrite((((constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB164 = VarState)) <=> ((constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), ((((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) | (constB165 = VarState)) | (constB164 = VarState)) <=> ((constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), (((((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) | (constB165 = VarState)) | (constB164 = VarState)) | (constB163 = VarState)) <=> (((constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB163 = VarState)))), rewrite((((constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB163 = VarState)) <=> ((constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState))), (((((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) | (constB165 = VarState)) | (constB164 = VarState)) | (constB163 = VarState)) <=> ((constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)))), ((((((((((((((((((((((((((((((((((((((((constB200 = VarState) | (constB199 = VarState)) | (constB198 = VarState)) | (constB197 = VarState)) | (constB196 = VarState)) | (constB195 = VarState)) | (constB194 = VarState)) | (constB193 = VarState)) | (constB192 = VarState)) | (constB191 = VarState)) | (constB190 = VarState)) | (constB189 = VarState)) | (constB188 = VarState)) | (constB187 = VarState)) | (constB186 = VarState)) | (constB185 = VarState)) | (constB184 = VarState)) | (constB183 = VarState)) | (constB182 = VarState)) | (constB181 = VarState)) | (constB180 = VarState)) | (constB179 = VarState)) | (constB178 = VarState)) | (constB177 = VarState)) | (constB176 = VarState)) | (constB175 = VarState)) | (constB174 = VarState)) | (constB173 = VarState)) | (constB172 = VarState)) | (constB171 = VarState)) | (constB170 = VarState)) | (constB169 = VarState)) | (constB168 = VarState)) | (constB167 = VarState)) | (constB166 = VarState)) | (constB165 = VarState)) | (constB164 = VarState)) | (constB163 = VarState)) | (constB162 = VarState)) <=> (((constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB162 = VarState)))), rewrite((((constB163 = VarState) | (constB164 = VarState) | (constB165 = VarState) | (constB166 = VarState) | (constB167 = VarState) | (constB168 = VarState) | (constB169 = VarState) | (constB170 = VarState) | (constB171 = VarState) | (constB172 = VarState) | (constB173 = VarState) | (constB174 = VarState) | (constB175 = VarState) | (constB176 = VarState) | (constB177 = VarState) | (constB178 = VarState) | (constB179 = VarState) | (constB180 = VarState) | (constB181 = VarState) | (constB182 = VarState) | (constB183 = VarState) | (constB184 = VarState) | (constB185 = VarState) | (constB186 = VarState) | (constB187 = VarState) | (constB188 = VarState) | (constB189 = VarState) | (constB190 = VarState) | (constB191 = VarState) | (constB192 = VarState) | (constB193 = VarState) | (constB194 = VarState) | (constB195 = VarState) | (constB196 = VarState) | (constB197 = VarState) | (constB198 = VarState) | (constB199 = VarState) | (constB200 = VarState)) | (constB162 = VarState)) <